%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : COM005-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 01:22:39 EDT 2022
% Result : Unsatisfiable 15.66s 15.88s
% Output : CNFRefutation 15.72s
% Verified :
% SZS Type : ERROR: Analysing output (Cycle in a tree)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c248) ).
fof(c_0_1,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c244) ).
fof(c_0_2,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c190) ).
fof(c_0_3,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c186) ).
fof(c_0_4,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c132) ).
fof(c_0_5,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c128) ).
fof(c_0_6,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ rq(s(X1)) ),
file('<stdin>',c262) ).
fof(c_0_7,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c260) ).
fof(c_0_8,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c257) ).
fof(c_0_9,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c250) ).
fof(c_0_10,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c249) ).
fof(c_0_11,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c246) ).
fof(c_0_12,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c245) ).
fof(c_0_13,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ qp(s(X1)) ),
file('<stdin>',c204) ).
fof(c_0_14,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c202) ).
fof(c_0_15,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c199) ).
fof(c_0_16,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c192) ).
fof(c_0_17,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c191) ).
fof(c_0_18,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c188) ).
fof(c_0_19,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c187) ).
fof(c_0_20,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ pr(s(X1)) ),
file('<stdin>',c146) ).
fof(c_0_21,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c144) ).
fof(c_0_22,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c141) ).
fof(c_0_23,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c134) ).
fof(c_0_24,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c133) ).
fof(c_0_25,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c130) ).
fof(c_0_26,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c129) ).
fof(c_0_27,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c234) ).
fof(c_0_28,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c226) ).
fof(c_0_29,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c176) ).
fof(c_0_30,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c168) ).
fof(c_0_31,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c118) ).
fof(c_0_32,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c110) ).
fof(c_0_33,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ rq(s(X1)) ),
file('<stdin>',c256) ).
fof(c_0_34,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ qp(s(X1)) ),
file('<stdin>',c198) ).
fof(c_0_35,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ pr(s(X1)) ),
file('<stdin>',c140) ).
fof(c_0_36,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| p(s(X1)) ),
file('<stdin>',c247) ).
fof(c_0_37,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| p(s(X1)) ),
file('<stdin>',c243) ).
fof(c_0_38,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| r(s(X1)) ),
file('<stdin>',c189) ).
fof(c_0_39,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| r(s(X1)) ),
file('<stdin>',c185) ).
fof(c_0_40,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| q(s(X1)) ),
file('<stdin>',c131) ).
fof(c_0_41,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| q(s(X1)) ),
file('<stdin>',c127) ).
fof(c_0_42,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c230) ).
fof(c_0_43,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c229) ).
fof(c_0_44,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c222) ).
fof(c_0_45,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
file('<stdin>',c221) ).
fof(c_0_46,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c172) ).
fof(c_0_47,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c171) ).
fof(c_0_48,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c164) ).
fof(c_0_49,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
file('<stdin>',c163) ).
fof(c_0_50,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c114) ).
fof(c_0_51,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c113) ).
fof(c_0_52,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c106) ).
fof(c_0_53,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
file('<stdin>',c105) ).
fof(c_0_54,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| pp(s(X1)) ),
file('<stdin>',c261) ).
fof(c_0_55,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| rq(s(X1)) ),
file('<stdin>',c259) ).
fof(c_0_56,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| pp(s(X1)) ),
file('<stdin>',c258) ).
fof(c_0_57,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| rr(s(X1)) ),
file('<stdin>',c203) ).
fof(c_0_58,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| qp(s(X1)) ),
file('<stdin>',c201) ).
fof(c_0_59,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| rr(s(X1)) ),
file('<stdin>',c200) ).
fof(c_0_60,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| qq(s(X1)) ),
file('<stdin>',c145) ).
fof(c_0_61,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| pr(s(X1)) ),
file('<stdin>',c143) ).
fof(c_0_62,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| qq(s(X1)) ),
file('<stdin>',c142) ).
fof(c_0_63,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
file('<stdin>',c241) ).
fof(c_0_64,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c237) ).
fof(c_0_65,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
file('<stdin>',c183) ).
fof(c_0_66,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c179) ).
fof(c_0_67,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
file('<stdin>',c125) ).
fof(c_0_68,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c121) ).
fof(c_0_69,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| p(s(X1)) ),
file('<stdin>',c233) ).
fof(c_0_70,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| p(s(X1)) ),
file('<stdin>',c225) ).
fof(c_0_71,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| r(s(X1)) ),
file('<stdin>',c175) ).
fof(c_0_72,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| r(s(X1)) ),
file('<stdin>',c167) ).
fof(c_0_73,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| q(s(X1)) ),
file('<stdin>',c117) ).
fof(c_0_74,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| q(s(X1)) ),
file('<stdin>',c109) ).
fof(c_0_75,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| pp(s(X1)) ),
file('<stdin>',c255) ).
fof(c_0_76,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| p(s(X1)) ),
file('<stdin>',c254) ).
fof(c_0_77,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| rq(s(X1)) ),
file('<stdin>',c253) ).
fof(c_0_78,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| pp(s(X1)) ),
file('<stdin>',c252) ).
fof(c_0_79,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| p(s(X1)) ),
file('<stdin>',c251) ).
fof(c_0_80,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| rr(s(X1)) ),
file('<stdin>',c197) ).
fof(c_0_81,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| r(s(X1)) ),
file('<stdin>',c196) ).
fof(c_0_82,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| qp(s(X1)) ),
file('<stdin>',c195) ).
fof(c_0_83,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| rr(s(X1)) ),
file('<stdin>',c194) ).
fof(c_0_84,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| r(s(X1)) ),
file('<stdin>',c193) ).
fof(c_0_85,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| qq(s(X1)) ),
file('<stdin>',c139) ).
fof(c_0_86,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| q(s(X1)) ),
file('<stdin>',c138) ).
fof(c_0_87,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| pr(s(X1)) ),
file('<stdin>',c137) ).
fof(c_0_88,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| qq(s(X1)) ),
file('<stdin>',c136) ).
fof(c_0_89,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| q(s(X1)) ),
file('<stdin>',c135) ).
fof(c_0_90,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ p(s(X1)) ),
file('<stdin>',c227) ).
fof(c_0_91,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
file('<stdin>',c219) ).
fof(c_0_92,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ r(s(X1)) ),
file('<stdin>',c169) ).
fof(c_0_93,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
file('<stdin>',c161) ).
fof(c_0_94,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ q(s(X1)) ),
file('<stdin>',c111) ).
fof(c_0_95,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
file('<stdin>',c103) ).
fof(c_0_96,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| pp(s(X1)) ),
file('<stdin>',c240) ).
fof(c_0_97,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| p(s(X1)) ),
file('<stdin>',c239) ).
fof(c_0_98,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| pp(s(X1)) ),
file('<stdin>',c236) ).
fof(c_0_99,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| p(s(X1)) ),
file('<stdin>',c235) ).
fof(c_0_100,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| rr(s(X1)) ),
file('<stdin>',c182) ).
fof(c_0_101,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| r(s(X1)) ),
file('<stdin>',c181) ).
fof(c_0_102,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| rr(s(X1)) ),
file('<stdin>',c178) ).
fof(c_0_103,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| r(s(X1)) ),
file('<stdin>',c177) ).
fof(c_0_104,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| qq(s(X1)) ),
file('<stdin>',c124) ).
fof(c_0_105,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| q(s(X1)) ),
file('<stdin>',c123) ).
fof(c_0_106,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| qq(s(X1)) ),
file('<stdin>',c120) ).
fof(c_0_107,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| q(s(X1)) ),
file('<stdin>',c119) ).
fof(c_0_108,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| pp(s(X1)) ),
file('<stdin>',c242) ).
fof(c_0_109,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| pp(s(X1)) ),
file('<stdin>',c238) ).
fof(c_0_110,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| pp(s(X1)) ),
file('<stdin>',c232) ).
fof(c_0_111,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| p(s(X1)) ),
file('<stdin>',c231) ).
fof(c_0_112,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| pp(s(X1)) ),
file('<stdin>',c224) ).
fof(c_0_113,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| p(s(X1)) ),
file('<stdin>',c223) ).
fof(c_0_114,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| rr(s(X1)) ),
file('<stdin>',c184) ).
fof(c_0_115,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| rr(s(X1)) ),
file('<stdin>',c180) ).
fof(c_0_116,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| rr(s(X1)) ),
file('<stdin>',c174) ).
fof(c_0_117,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| r(s(X1)) ),
file('<stdin>',c173) ).
fof(c_0_118,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| rr(s(X1)) ),
file('<stdin>',c166) ).
fof(c_0_119,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| r(s(X1)) ),
file('<stdin>',c165) ).
fof(c_0_120,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| qq(s(X1)) ),
file('<stdin>',c126) ).
fof(c_0_121,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| qq(s(X1)) ),
file('<stdin>',c122) ).
fof(c_0_122,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| qq(s(X1)) ),
file('<stdin>',c116) ).
fof(c_0_123,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| q(s(X1)) ),
file('<stdin>',c115) ).
fof(c_0_124,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| qq(s(X1)) ),
file('<stdin>',c108) ).
fof(c_0_125,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| q(s(X1)) ),
file('<stdin>',c107) ).
fof(c_0_126,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ p(X1)
| ~ q(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c216) ).
fof(c_0_127,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ p(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
file('<stdin>',c215) ).
fof(c_0_128,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ r(X1)
| ~ p(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c158) ).
fof(c_0_129,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ r(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
file('<stdin>',c157) ).
fof(c_0_130,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ q(X1)
| ~ r(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c100) ).
fof(c_0_131,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ q(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
file('<stdin>',c099) ).
fof(c_0_132,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| pp(s(X1)) ),
file('<stdin>',c228) ).
fof(c_0_133,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| pp(s(X1)) ),
file('<stdin>',c220) ).
fof(c_0_134,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| rr(s(X1)) ),
file('<stdin>',c170) ).
fof(c_0_135,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| rr(s(X1)) ),
file('<stdin>',c162) ).
fof(c_0_136,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| qq(s(X1)) ),
file('<stdin>',c112) ).
fof(c_0_137,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| qq(s(X1)) ),
file('<stdin>',c104) ).
fof(c_0_138,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ q(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c218) ).
fof(c_0_139,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
file('<stdin>',c217) ).
fof(c_0_140,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ p(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c160) ).
fof(c_0_141,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
file('<stdin>',c159) ).
fof(c_0_142,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ r(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c102) ).
fof(c_0_143,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
file('<stdin>',c101) ).
fof(c_0_144,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| q(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c214) ).
fof(c_0_145,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| p(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c156) ).
fof(c_0_146,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| r(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c098) ).
fof(c_0_147,negated_conjecture,
! [X1] :
( rpq1(X1)
| rpq2(X1)
| rpq3(X1)
| rpq4(X1)
| rq(X1)
| ~ rq(s(X1)) ),
file('<stdin>',c268) ).
fof(c_0_148,negated_conjecture,
! [X1] :
( qrp1(X1)
| qrp2(X1)
| qrp3(X1)
| qrp4(X1)
| qp(X1)
| ~ qp(s(X1)) ),
file('<stdin>',c210) ).
fof(c_0_149,negated_conjecture,
! [X1] :
( pqr1(X1)
| pqr2(X1)
| pqr3(X1)
| pqr4(X1)
| pr(X1)
| ~ pr(s(X1)) ),
file('<stdin>',c152) ).
fof(c_0_150,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| p(X1)
| q(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c212) ).
fof(c_0_151,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| r(X1)
| p(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c154) ).
fof(c_0_152,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| q(X1)
| r(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c096) ).
fof(c_0_153,negated_conjecture,
! [X1] :
( rpq1(X1)
| rpq2(X1)
| rpq3(X1)
| rpq4(X1)
| ~ rq(X1)
| rq(s(X1)) ),
file('<stdin>',c267) ).
fof(c_0_154,negated_conjecture,
! [X1] :
( qrp1(X1)
| qrp2(X1)
| qrp3(X1)
| qrp4(X1)
| ~ qp(X1)
| qp(s(X1)) ),
file('<stdin>',c209) ).
fof(c_0_155,negated_conjecture,
! [X1] :
( pqr1(X1)
| pqr2(X1)
| pqr3(X1)
| pqr4(X1)
| ~ pr(X1)
| pr(s(X1)) ),
file('<stdin>',c151) ).
fof(c_0_156,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| q(X1)
| p(s(X1)) ),
file('<stdin>',c213) ).
fof(c_0_157,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| p(X1)
| r(s(X1)) ),
file('<stdin>',c155) ).
fof(c_0_158,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| r(X1)
| q(s(X1)) ),
file('<stdin>',c097) ).
fof(c_0_159,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| p(X1)
| q(X1)
| p(s(X1)) ),
file('<stdin>',c211) ).
fof(c_0_160,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| r(X1)
| p(X1)
| r(s(X1)) ),
file('<stdin>',c153) ).
fof(c_0_161,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| q(X1)
| r(X1)
| q(s(X1)) ),
file('<stdin>',c095) ).
fof(c_0_162,negated_conjecture,
! [X1] :
( ap(X1)
| pp(X1)
| ~ pp(s(X1)) ),
file('<stdin>',c265) ).
fof(c_0_163,negated_conjecture,
! [X1] :
( ap(X1)
| p(X1)
| ~ p(s(X1)) ),
file('<stdin>',c263) ).
fof(c_0_164,negated_conjecture,
! [X1] :
( ar(X1)
| rr(X1)
| ~ rr(s(X1)) ),
file('<stdin>',c207) ).
fof(c_0_165,negated_conjecture,
! [X1] :
( ar(X1)
| r(X1)
| ~ r(s(X1)) ),
file('<stdin>',c205) ).
fof(c_0_166,negated_conjecture,
! [X1] :
( aq(X1)
| qq(X1)
| ~ qq(s(X1)) ),
file('<stdin>',c149) ).
fof(c_0_167,negated_conjecture,
! [X1] :
( aq(X1)
| q(X1)
| ~ q(s(X1)) ),
file('<stdin>',c147) ).
fof(c_0_168,negated_conjecture,
! [X1] :
( ap(X1)
| ~ pp(X1)
| pp(s(X1)) ),
file('<stdin>',c266) ).
fof(c_0_169,negated_conjecture,
! [X1] :
( ap(X1)
| ~ p(X1)
| p(s(X1)) ),
file('<stdin>',c264) ).
fof(c_0_170,negated_conjecture,
! [X1] :
( ar(X1)
| ~ rr(X1)
| rr(s(X1)) ),
file('<stdin>',c208) ).
fof(c_0_171,negated_conjecture,
! [X1] :
( ar(X1)
| ~ r(X1)
| r(s(X1)) ),
file('<stdin>',c206) ).
fof(c_0_172,negated_conjecture,
! [X1] :
( aq(X1)
| ~ qq(X1)
| qq(s(X1)) ),
file('<stdin>',c150) ).
fof(c_0_173,negated_conjecture,
! [X1] :
( aq(X1)
| ~ q(X1)
| q(s(X1)) ),
file('<stdin>',c148) ).
fof(c_0_174,negated_conjecture,
! [X1] :
( ~ qp(X1)
| ~ rq(X1)
| ~ pr(X1) ),
file('<stdin>',c090) ).
fof(c_0_175,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ap(s(X1)) ),
file('<stdin>',c094) ).
fof(c_0_176,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ar(s(X1)) ),
file('<stdin>',c093) ).
fof(c_0_177,negated_conjecture,
! [X1] :
( ~ ap(X1)
| aq(s(X1)) ),
file('<stdin>',c092) ).
fof(c_0_178,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ~ pp(X1) ),
file('<stdin>',c086) ).
fof(c_0_179,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ~ rr(X1) ),
file('<stdin>',c084) ).
fof(c_0_180,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ~ r(X1) ),
file('<stdin>',c083) ).
fof(c_0_181,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ q(X1) ),
file('<stdin>',c080) ).
fof(c_0_182,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ pp(X1) ),
file('<stdin>',c079) ).
fof(c_0_183,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ p(X1) ),
file('<stdin>',c078) ).
fof(c_0_184,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ rr(X1) ),
file('<stdin>',c077) ).
fof(c_0_185,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ~ qq(X1) ),
file('<stdin>',c074) ).
fof(c_0_186,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ~ q(X1) ),
file('<stdin>',c073) ).
fof(c_0_187,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ~ pp(X1) ),
file('<stdin>',c072) ).
fof(c_0_188,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ qq(X1) ),
file('<stdin>',c067) ).
fof(c_0_189,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ pp(X1) ),
file('<stdin>',c065) ).
fof(c_0_190,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ p(X1) ),
file('<stdin>',c064) ).
fof(c_0_191,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ r(X1) ),
file('<stdin>',c062) ).
fof(c_0_192,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ~ rr(X1) ),
file('<stdin>',c058) ).
fof(c_0_193,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ~ qq(X1) ),
file('<stdin>',c056) ).
fof(c_0_194,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ~ q(X1) ),
file('<stdin>',c055) ).
fof(c_0_195,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ p(X1) ),
file('<stdin>',c052) ).
fof(c_0_196,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ rr(X1) ),
file('<stdin>',c051) ).
fof(c_0_197,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ r(X1) ),
file('<stdin>',c050) ).
fof(c_0_198,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ qq(X1) ),
file('<stdin>',c049) ).
fof(c_0_199,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ~ pp(X1) ),
file('<stdin>',c046) ).
fof(c_0_200,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ~ p(X1) ),
file('<stdin>',c045) ).
fof(c_0_201,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ~ rr(X1) ),
file('<stdin>',c044) ).
fof(c_0_202,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ pp(X1) ),
file('<stdin>',c039) ).
fof(c_0_203,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ rr(X1) ),
file('<stdin>',c037) ).
fof(c_0_204,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ r(X1) ),
file('<stdin>',c036) ).
fof(c_0_205,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ q(X1) ),
file('<stdin>',c034) ).
fof(c_0_206,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| ~ qq(X1) ),
file('<stdin>',c030) ).
fof(c_0_207,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| ~ pp(X1) ),
file('<stdin>',c028) ).
fof(c_0_208,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| ~ p(X1) ),
file('<stdin>',c027) ).
fof(c_0_209,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ r(X1) ),
file('<stdin>',c024) ).
fof(c_0_210,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ qq(X1) ),
file('<stdin>',c023) ).
fof(c_0_211,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ q(X1) ),
file('<stdin>',c022) ).
fof(c_0_212,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ pp(X1) ),
file('<stdin>',c021) ).
fof(c_0_213,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| ~ rr(X1) ),
file('<stdin>',c018) ).
fof(c_0_214,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| ~ r(X1) ),
file('<stdin>',c017) ).
fof(c_0_215,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| ~ qq(X1) ),
file('<stdin>',c016) ).
fof(c_0_216,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ rr(X1) ),
file('<stdin>',c011) ).
fof(c_0_217,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ qq(X1) ),
file('<stdin>',c009) ).
fof(c_0_218,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ q(X1) ),
file('<stdin>',c008) ).
fof(c_0_219,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ p(X1) ),
file('<stdin>',c006) ).
fof(c_0_220,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ ar(X1) ),
file('<stdin>',c004) ).
fof(c_0_221,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ ar(X1) ),
file('<stdin>',c003) ).
fof(c_0_222,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ aq(X1) ),
file('<stdin>',c002) ).
fof(c_0_223,negated_conjecture,
! [X1] :
( qp(X1)
| rq(X1)
| pr(X1) ),
file('<stdin>',c091) ).
fof(c_0_224,negated_conjecture,
! [X1] :
( ap(X1)
| aq(X1)
| ar(X1) ),
file('<stdin>',c005) ).
fof(c_0_225,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ap(X1) ),
file('<stdin>',c089) ).
fof(c_0_226,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| qq(X1) ),
file('<stdin>',c088) ).
fof(c_0_227,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| q(X1) ),
file('<stdin>',c087) ).
fof(c_0_228,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| p(X1) ),
file('<stdin>',c085) ).
fof(c_0_229,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ap(X1) ),
file('<stdin>',c082) ).
fof(c_0_230,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| qq(X1) ),
file('<stdin>',c081) ).
fof(c_0_231,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| r(X1) ),
file('<stdin>',c076) ).
fof(c_0_232,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ap(X1) ),
file('<stdin>',c075) ).
fof(c_0_233,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| p(X1) ),
file('<stdin>',c071) ).
fof(c_0_234,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| rr(X1) ),
file('<stdin>',c070) ).
fof(c_0_235,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| r(X1) ),
file('<stdin>',c069) ).
fof(c_0_236,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ap(X1) ),
file('<stdin>',c068) ).
fof(c_0_237,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| q(X1) ),
file('<stdin>',c066) ).
fof(c_0_238,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| rr(X1) ),
file('<stdin>',c063) ).
fof(c_0_239,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ar(X1) ),
file('<stdin>',c061) ).
fof(c_0_240,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| pp(X1) ),
file('<stdin>',c060) ).
fof(c_0_241,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| p(X1) ),
file('<stdin>',c059) ).
fof(c_0_242,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| r(X1) ),
file('<stdin>',c057) ).
fof(c_0_243,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ar(X1) ),
file('<stdin>',c054) ).
fof(c_0_244,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| pp(X1) ),
file('<stdin>',c053) ).
fof(c_0_245,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| q(X1) ),
file('<stdin>',c048) ).
fof(c_0_246,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ar(X1) ),
file('<stdin>',c047) ).
fof(c_0_247,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| r(X1) ),
file('<stdin>',c043) ).
fof(c_0_248,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| qq(X1) ),
file('<stdin>',c042) ).
fof(c_0_249,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| q(X1) ),
file('<stdin>',c041) ).
fof(c_0_250,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ar(X1) ),
file('<stdin>',c040) ).
fof(c_0_251,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| p(X1) ),
file('<stdin>',c038) ).
fof(c_0_252,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| qq(X1) ),
file('<stdin>',c035) ).
fof(c_0_253,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| aq(X1) ),
file('<stdin>',c033) ).
fof(c_0_254,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| rr(X1) ),
file('<stdin>',c032) ).
fof(c_0_255,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| r(X1) ),
file('<stdin>',c031) ).
fof(c_0_256,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| q(X1) ),
file('<stdin>',c029) ).
fof(c_0_257,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| aq(X1) ),
file('<stdin>',c026) ).
fof(c_0_258,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| rr(X1) ),
file('<stdin>',c025) ).
fof(c_0_259,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| p(X1) ),
file('<stdin>',c020) ).
fof(c_0_260,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| aq(X1) ),
file('<stdin>',c019) ).
fof(c_0_261,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| q(X1) ),
file('<stdin>',c015) ).
fof(c_0_262,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| pp(X1) ),
file('<stdin>',c014) ).
fof(c_0_263,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| p(X1) ),
file('<stdin>',c013) ).
fof(c_0_264,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| aq(X1) ),
file('<stdin>',c012) ).
fof(c_0_265,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| r(X1) ),
file('<stdin>',c010) ).
fof(c_0_266,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| pp(X1) ),
file('<stdin>',c007) ).
fof(c_0_267,negated_conjecture,
ap(a),
file('<stdin>',c001) ).
fof(c_0_268,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_269,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_270,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_271,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_272,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_273,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_274,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ rq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_275,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_276,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_277,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_278,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_279,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_280,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_281,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ qp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_282,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_283,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_284,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_285,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_286,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_287,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_288,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ pr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_289,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_290,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_291,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_292,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_293,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_294,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_295,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_296,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_297,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_298,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_299,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_300,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_301,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ rq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_302,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ qp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_303,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ pr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_304,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_305,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_306,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_307,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_308,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_309,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_310,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_311,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_312,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_313,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_314,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_315,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| ~ pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_316,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_317,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_318,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_319,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| ~ rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_320,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_321,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_322,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_323,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| rq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_324,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_325,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_326,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| qp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_327,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_328,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_329,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| pr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_330,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_331,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_332,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_333,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_334,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_335,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_336,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_337,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_338,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_339,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_340,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_341,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_342,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_343,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_344,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_345,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| rq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_346,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_347,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_348,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_349,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_350,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| qp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_351,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_352,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_353,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_354,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_355,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| pr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_356,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_357,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_358,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_359,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_360,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_361,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_362,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_363,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_364,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_365,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| ~ pp(X1)
| ~ q(X1)
| qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_366,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_367,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| ~ pp(X1)
| q(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_368,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_369,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| ~ rr(X1)
| ~ p(X1)
| pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_370,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_371,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| ~ rr(X1)
| p(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_372,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_373,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| ~ qq(X1)
| ~ r(X1)
| rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_374,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_375,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| ~ qq(X1)
| r(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_376,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| ~ pp(X1)
| ~ q(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_377,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ pp(X1)
| q(X1)
| qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_378,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_379,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_380,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_381,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| q(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_382,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| ~ rr(X1)
| ~ p(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_383,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ rr(X1)
| p(X1)
| pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_384,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_385,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| rr(X1)
| ~ p(X1)
| pp(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_386,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_387,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| p(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_388,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| ~ qq(X1)
| ~ r(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_389,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ qq(X1)
| r(X1)
| rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_390,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_391,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| qq(X1)
| ~ r(X1)
| rr(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_392,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_393,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| pp(X1)
| ~ q(X1)
| qq(X1)
| r(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_394,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ p(X1)
| ~ q(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_395,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| ~ p(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_396,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ r(X1)
| ~ p(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_397,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| ~ r(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_398,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ q(X1)
| ~ r(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_399,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| ~ q(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_400,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_401,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| ~ q(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_402,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| rr(X1)
| p(X1)
| pp(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_403,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| ~ p(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_404,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| qq(X1)
| r(X1)
| rr(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_405,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| pp(X1)
| q(X1)
| qq(X1)
| ~ r(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_406,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ q(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_407,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ r(X1)
| p(X1)
| ~ q(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_408,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ p(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_409,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ~ q(X1)
| r(X1)
| ~ p(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_410,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ r(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_411,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ p(X1)
| q(X1)
| ~ r(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_412,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| q(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_413,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| p(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_414,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| r(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_415,negated_conjecture,
! [X1] :
( rpq1(X1)
| rpq2(X1)
| rpq3(X1)
| rpq4(X1)
| rq(X1)
| ~ rq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_416,negated_conjecture,
! [X1] :
( qrp1(X1)
| qrp2(X1)
| qrp3(X1)
| qrp4(X1)
| qp(X1)
| ~ qp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_417,negated_conjecture,
! [X1] :
( pqr1(X1)
| pqr2(X1)
| pqr3(X1)
| pqr4(X1)
| pr(X1)
| ~ pr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_418,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| p(X1)
| q(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_419,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| r(X1)
| p(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_420,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| q(X1)
| r(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_421,negated_conjecture,
! [X1] :
( rpq1(X1)
| rpq2(X1)
| rpq3(X1)
| rpq4(X1)
| ~ rq(X1)
| rq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_422,negated_conjecture,
! [X1] :
( qrp1(X1)
| qrp2(X1)
| qrp3(X1)
| qrp4(X1)
| ~ qp(X1)
| qp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_423,negated_conjecture,
! [X1] :
( pqr1(X1)
| pqr2(X1)
| pqr3(X1)
| pqr4(X1)
| ~ pr(X1)
| pr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_424,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| ~ p(X1)
| q(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_425,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| ~ r(X1)
| p(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_426,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| ~ q(X1)
| r(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_427,negated_conjecture,
! [X1] :
( ~ ap(X1)
| r(X1)
| p(X1)
| q(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_428,negated_conjecture,
! [X1] :
( ~ ar(X1)
| q(X1)
| r(X1)
| p(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_429,negated_conjecture,
! [X1] :
( ~ aq(X1)
| p(X1)
| q(X1)
| r(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_430,negated_conjecture,
! [X1] :
( ap(X1)
| pp(X1)
| ~ pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_431,negated_conjecture,
! [X1] :
( ap(X1)
| p(X1)
| ~ p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_432,negated_conjecture,
! [X1] :
( ar(X1)
| rr(X1)
| ~ rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_433,negated_conjecture,
! [X1] :
( ar(X1)
| r(X1)
| ~ r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_434,negated_conjecture,
! [X1] :
( aq(X1)
| qq(X1)
| ~ qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_435,negated_conjecture,
! [X1] :
( aq(X1)
| q(X1)
| ~ q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_436,negated_conjecture,
! [X1] :
( ap(X1)
| ~ pp(X1)
| pp(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_437,negated_conjecture,
! [X1] :
( ap(X1)
| ~ p(X1)
| p(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_438,negated_conjecture,
! [X1] :
( ar(X1)
| ~ rr(X1)
| rr(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_439,negated_conjecture,
! [X1] :
( ar(X1)
| ~ r(X1)
| r(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_440,negated_conjecture,
! [X1] :
( aq(X1)
| ~ qq(X1)
| qq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_441,negated_conjecture,
! [X1] :
( aq(X1)
| ~ q(X1)
| q(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_442,negated_conjecture,
! [X1] :
( ~ qp(X1)
| ~ rq(X1)
| ~ pr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_443,negated_conjecture,
! [X1] :
( ~ ar(X1)
| ap(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_444,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ar(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_445,negated_conjecture,
! [X1] :
( ~ ap(X1)
| aq(s(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_446,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_447,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_448,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ~ r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_449,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_450,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_451,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_452,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_453,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_454,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ~ q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_455,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_456,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_457,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_458,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_459,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ~ r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_460,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_461,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_462,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ~ q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_463,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_464,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_465,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_466,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_467,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_468,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ~ p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_469,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_470,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_471,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_472,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_473,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ~ q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_474,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_475,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_476,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| ~ p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_477,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_478,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_479,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_480,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| ~ pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_481,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_482,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| ~ r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_483,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_484,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_485,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_486,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_487,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| ~ p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_488,negated_conjecture,
! [X1] :
( ~ aq(X1)
| ~ ar(X1) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_489,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ ar(X1) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_490,negated_conjecture,
! [X1] :
( ~ ap(X1)
| ~ aq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_491,negated_conjecture,
! [X1] :
( qp(X1)
| rq(X1)
| pr(X1) ),
c_0_223 ).
fof(c_0_492,negated_conjecture,
! [X1] :
( ap(X1)
| aq(X1)
| ar(X1) ),
c_0_224 ).
fof(c_0_493,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| ap(X1) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_494,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_495,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_496,negated_conjecture,
! [X1] :
( ~ rpq4(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_497,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| ap(X1) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_498,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_499,negated_conjecture,
! [X1] :
( ~ rpq3(X1)
| r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_500,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| ap(X1) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_501,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_502,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_503,negated_conjecture,
! [X1] :
( ~ rpq2(X1)
| r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_504,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| ap(X1) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_505,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_506,negated_conjecture,
! [X1] :
( ~ rpq1(X1)
| rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_507,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| ar(X1) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_508,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_509,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_510,negated_conjecture,
! [X1] :
( ~ qrp4(X1)
| r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_511,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| ar(X1) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_512,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_513,negated_conjecture,
! [X1] :
( ~ qrp3(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_514,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| ar(X1) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_515,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_516,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_517,negated_conjecture,
! [X1] :
( ~ qrp2(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_518,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| ar(X1) ),
inference(fof_simplification,[status(thm)],[c_0_250]) ).
fof(c_0_519,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_251]) ).
fof(c_0_520,negated_conjecture,
! [X1] :
( ~ qrp1(X1)
| qq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_252]) ).
fof(c_0_521,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| aq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_253]) ).
fof(c_0_522,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_523,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_255]) ).
fof(c_0_524,negated_conjecture,
! [X1] :
( ~ pqr4(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_525,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| aq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_526,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| rr(X1) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_527,negated_conjecture,
! [X1] :
( ~ pqr3(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_259]) ).
fof(c_0_528,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| aq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_529,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_530,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_531,negated_conjecture,
! [X1] :
( ~ pqr2(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_532,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| aq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_264]) ).
fof(c_0_533,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| r(X1) ),
inference(fof_simplification,[status(thm)],[c_0_265]) ).
fof(c_0_534,negated_conjecture,
! [X1] :
( ~ pqr1(X1)
| pp(X1) ),
inference(fof_simplification,[status(thm)],[c_0_266]) ).
fof(c_0_535,negated_conjecture,
ap(a),
c_0_267 ).
fof(c_0_536,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_268]) ).
fof(c_0_537,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_269]) ).
fof(c_0_538,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_270]) ).
fof(c_0_539,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_271]) ).
fof(c_0_540,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_272]) ).
fof(c_0_541,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_542,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ rq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_543,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_275]) ).
fof(c_0_544,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_276]) ).
fof(c_0_545,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_277]) ).
fof(c_0_546,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_278]) ).
fof(c_0_547,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_279]) ).
fof(c_0_548,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_280]) ).
fof(c_0_549,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ qp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_281]) ).
fof(c_0_550,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_282]) ).
fof(c_0_551,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_283]) ).
fof(c_0_552,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_284]) ).
fof(c_0_553,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_285]) ).
fof(c_0_554,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_286]) ).
fof(c_0_555,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_287]) ).
fof(c_0_556,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ pr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_288]) ).
fof(c_0_557,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_289]) ).
fof(c_0_558,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_290]) ).
fof(c_0_559,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_291]) ).
fof(c_0_560,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_292]) ).
fof(c_0_561,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_293]) ).
fof(c_0_562,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_294]) ).
fof(c_0_563,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_295]) ).
fof(c_0_564,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ pp(X2)
| q(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_296]) ).
fof(c_0_565,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_297]) ).
fof(c_0_566,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ rr(X2)
| p(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_298]) ).
fof(c_0_567,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_299]) ).
fof(c_0_568,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ qq(X2)
| r(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_300]) ).
fof(c_0_569,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| ~ rq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_301]) ).
fof(c_0_570,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| ~ qp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_302]) ).
fof(c_0_571,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| ~ pr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_303]) ).
fof(c_0_572,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_304]) ).
fof(c_0_573,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_305]) ).
fof(c_0_574,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_306]) ).
fof(c_0_575,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_307]) ).
fof(c_0_576,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_308]) ).
fof(c_0_577,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_309]) ).
fof(c_0_578,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| ~ qq(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_310]) ).
fof(c_0_579,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| ~ qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_311]) ).
fof(c_0_580,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_312]) ).
fof(c_0_581,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_313]) ).
fof(c_0_582,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| ~ pp(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_314]) ).
fof(c_0_583,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| ~ pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_315]) ).
fof(c_0_584,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_316]) ).
fof(c_0_585,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_317]) ).
fof(c_0_586,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| ~ rr(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_318]) ).
fof(c_0_587,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| ~ rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_319]) ).
fof(c_0_588,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_320]) ).
fof(c_0_589,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_321]) ).
fof(c_0_590,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_322]) ).
fof(c_0_591,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| rq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_323]) ).
fof(c_0_592,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_324]) ).
fof(c_0_593,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_325]) ).
fof(c_0_594,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| qp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_326]) ).
fof(c_0_595,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_327]) ).
fof(c_0_596,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_597,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| pr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_329]) ).
fof(c_0_598,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_330]) ).
fof(c_0_599,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_331]) ).
fof(c_0_600,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_601,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_333]) ).
fof(c_0_602,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_334]) ).
fof(c_0_603,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_335]) ).
fof(c_0_604,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_336]) ).
fof(c_0_605,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_337]) ).
fof(c_0_606,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ pp(X2)
| q(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_338]) ).
fof(c_0_607,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| ~ pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_339]) ).
fof(c_0_608,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ rr(X2)
| p(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_340]) ).
fof(c_0_609,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| ~ rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_341]) ).
fof(c_0_610,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| ~ qq(X2)
| r(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_342]) ).
fof(c_0_611,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_343]) ).
fof(c_0_612,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_344]) ).
fof(c_0_613,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| rq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_345]) ).
fof(c_0_614,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_346]) ).
fof(c_0_615,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_347]) ).
fof(c_0_616,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_348]) ).
fof(c_0_617,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_349]) ).
fof(c_0_618,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| qp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_350]) ).
fof(c_0_619,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_351]) ).
fof(c_0_620,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_352]) ).
fof(c_0_621,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_353]) ).
fof(c_0_622,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_354]) ).
fof(c_0_623,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| pr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_355]) ).
fof(c_0_624,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_356]) ).
fof(c_0_625,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_357]) ).
fof(c_0_626,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_358]) ).
fof(c_0_627,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_359]) ).
fof(c_0_628,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_360]) ).
fof(c_0_629,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_361]) ).
fof(c_0_630,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_362]) ).
fof(c_0_631,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_363]) ).
fof(c_0_632,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_364]) ).
fof(c_0_633,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| ~ pp(X2)
| ~ q(X2)
| qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_365]) ).
fof(c_0_634,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| q(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_366]) ).
fof(c_0_635,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| ~ pp(X2)
| q(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_367]) ).
fof(c_0_636,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_368]) ).
fof(c_0_637,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| ~ rr(X2)
| ~ p(X2)
| pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_369]) ).
fof(c_0_638,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| p(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_370]) ).
fof(c_0_639,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| ~ rr(X2)
| p(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_371]) ).
fof(c_0_640,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_372]) ).
fof(c_0_641,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| ~ qq(X2)
| ~ r(X2)
| rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_373]) ).
fof(c_0_642,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| r(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_374]) ).
fof(c_0_643,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| ~ qq(X2)
| r(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_375]) ).
fof(c_0_644,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| p(X2)
| ~ pp(X2)
| ~ q(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_376]) ).
fof(c_0_645,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| ~ pp(X2)
| q(X2)
| qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_377]) ).
fof(c_0_646,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_378]) ).
fof(c_0_647,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_379]) ).
fof(c_0_648,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_380]) ).
fof(c_0_649,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| q(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_381]) ).
fof(c_0_650,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| r(X2)
| ~ rr(X2)
| ~ p(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_382]) ).
fof(c_0_651,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| ~ rr(X2)
| p(X2)
| pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_383]) ).
fof(c_0_652,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_384]) ).
fof(c_0_653,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| rr(X2)
| ~ p(X2)
| pp(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_385]) ).
fof(c_0_654,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_386]) ).
fof(c_0_655,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| p(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_387]) ).
fof(c_0_656,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| q(X2)
| ~ qq(X2)
| ~ r(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_388]) ).
fof(c_0_657,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| ~ qq(X2)
| r(X2)
| rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_389]) ).
fof(c_0_658,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_390]) ).
fof(c_0_659,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| qq(X2)
| ~ r(X2)
| rr(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_391]) ).
fof(c_0_660,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_392]) ).
fof(c_0_661,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| pp(X2)
| ~ q(X2)
| qq(X2)
| r(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_393]) ).
fof(c_0_662,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ p(X2)
| ~ q(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_394]) ).
fof(c_0_663,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| ~ p(X2)
| ~ q(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_395]) ).
fof(c_0_664,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ r(X2)
| ~ p(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_396]) ).
fof(c_0_665,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| ~ r(X2)
| ~ p(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_397]) ).
fof(c_0_666,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ q(X2)
| ~ r(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_398]) ).
fof(c_0_667,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| ~ q(X2)
| ~ r(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_399]) ).
fof(c_0_668,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_400]) ).
fof(c_0_669,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| ~ q(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_401]) ).
fof(c_0_670,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| rr(X2)
| p(X2)
| pp(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_402]) ).
fof(c_0_671,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| ~ p(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_403]) ).
fof(c_0_672,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| qq(X2)
| r(X2)
| rr(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_404]) ).
fof(c_0_673,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| pp(X2)
| q(X2)
| qq(X2)
| ~ r(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_405]) ).
fof(c_0_674,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| ~ q(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_406]) ).
fof(c_0_675,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ r(X2)
| p(X2)
| ~ q(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_407]) ).
fof(c_0_676,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| ~ p(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_408]) ).
fof(c_0_677,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ~ q(X2)
| r(X2)
| ~ p(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_409]) ).
fof(c_0_678,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| ~ r(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_410]) ).
fof(c_0_679,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ p(X2)
| q(X2)
| ~ r(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_411]) ).
fof(c_0_680,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| q(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_412]) ).
fof(c_0_681,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| p(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_413]) ).
fof(c_0_682,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| r(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_414]) ).
fof(c_0_683,negated_conjecture,
! [X2] :
( rpq1(X2)
| rpq2(X2)
| rpq3(X2)
| rpq4(X2)
| rq(X2)
| ~ rq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_415]) ).
fof(c_0_684,negated_conjecture,
! [X2] :
( qrp1(X2)
| qrp2(X2)
| qrp3(X2)
| qrp4(X2)
| qp(X2)
| ~ qp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_416]) ).
fof(c_0_685,negated_conjecture,
! [X2] :
( pqr1(X2)
| pqr2(X2)
| pqr3(X2)
| pqr4(X2)
| pr(X2)
| ~ pr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_417]) ).
fof(c_0_686,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| p(X2)
| q(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_418]) ).
fof(c_0_687,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| r(X2)
| p(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_419]) ).
fof(c_0_688,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| q(X2)
| r(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_420]) ).
fof(c_0_689,negated_conjecture,
! [X2] :
( rpq1(X2)
| rpq2(X2)
| rpq3(X2)
| rpq4(X2)
| ~ rq(X2)
| rq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_421]) ).
fof(c_0_690,negated_conjecture,
! [X2] :
( qrp1(X2)
| qrp2(X2)
| qrp3(X2)
| qrp4(X2)
| ~ qp(X2)
| qp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_422]) ).
fof(c_0_691,negated_conjecture,
! [X2] :
( pqr1(X2)
| pqr2(X2)
| pqr3(X2)
| pqr4(X2)
| ~ pr(X2)
| pr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_423]) ).
fof(c_0_692,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| ~ p(X2)
| q(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_424]) ).
fof(c_0_693,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| ~ r(X2)
| p(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_425]) ).
fof(c_0_694,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| ~ q(X2)
| r(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_426]) ).
fof(c_0_695,negated_conjecture,
! [X2] :
( ~ ap(X2)
| r(X2)
| p(X2)
| q(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_427]) ).
fof(c_0_696,negated_conjecture,
! [X2] :
( ~ ar(X2)
| q(X2)
| r(X2)
| p(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_428]) ).
fof(c_0_697,negated_conjecture,
! [X2] :
( ~ aq(X2)
| p(X2)
| q(X2)
| r(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_429]) ).
fof(c_0_698,negated_conjecture,
! [X2] :
( ap(X2)
| pp(X2)
| ~ pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_430]) ).
fof(c_0_699,negated_conjecture,
! [X2] :
( ap(X2)
| p(X2)
| ~ p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_431]) ).
fof(c_0_700,negated_conjecture,
! [X2] :
( ar(X2)
| rr(X2)
| ~ rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_432]) ).
fof(c_0_701,negated_conjecture,
! [X2] :
( ar(X2)
| r(X2)
| ~ r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_433]) ).
fof(c_0_702,negated_conjecture,
! [X2] :
( aq(X2)
| qq(X2)
| ~ qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_434]) ).
fof(c_0_703,negated_conjecture,
! [X2] :
( aq(X2)
| q(X2)
| ~ q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_435]) ).
fof(c_0_704,negated_conjecture,
! [X2] :
( ap(X2)
| ~ pp(X2)
| pp(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_436]) ).
fof(c_0_705,negated_conjecture,
! [X2] :
( ap(X2)
| ~ p(X2)
| p(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_437]) ).
fof(c_0_706,negated_conjecture,
! [X2] :
( ar(X2)
| ~ rr(X2)
| rr(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_438]) ).
fof(c_0_707,negated_conjecture,
! [X2] :
( ar(X2)
| ~ r(X2)
| r(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_439]) ).
fof(c_0_708,negated_conjecture,
! [X2] :
( aq(X2)
| ~ qq(X2)
| qq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_440]) ).
fof(c_0_709,negated_conjecture,
! [X2] :
( aq(X2)
| ~ q(X2)
| q(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_441]) ).
fof(c_0_710,negated_conjecture,
! [X2] :
( ~ qp(X2)
| ~ rq(X2)
| ~ pr(X2) ),
inference(variable_rename,[status(thm)],[c_0_442]) ).
fof(c_0_711,negated_conjecture,
! [X2] :
( ~ ar(X2)
| ap(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_443]) ).
fof(c_0_712,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ar(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_444]) ).
fof(c_0_713,negated_conjecture,
! [X2] :
( ~ ap(X2)
| aq(s(X2)) ),
inference(variable_rename,[status(thm)],[c_0_445]) ).
fof(c_0_714,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_446]) ).
fof(c_0_715,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_447]) ).
fof(c_0_716,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| ~ r(X2) ),
inference(variable_rename,[status(thm)],[c_0_448]) ).
fof(c_0_717,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| ~ q(X2) ),
inference(variable_rename,[status(thm)],[c_0_449]) ).
fof(c_0_718,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_719,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| ~ p(X2) ),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_720,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_721,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_722,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| ~ q(X2) ),
inference(variable_rename,[status(thm)],[c_0_454]) ).
fof(c_0_723,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_455]) ).
fof(c_0_724,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_456]) ).
fof(c_0_725,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_457]) ).
fof(c_0_726,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| ~ p(X2) ),
inference(variable_rename,[status(thm)],[c_0_458]) ).
fof(c_0_727,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| ~ r(X2) ),
inference(variable_rename,[status(thm)],[c_0_459]) ).
fof(c_0_728,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_460]) ).
fof(c_0_729,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_461]) ).
fof(c_0_730,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| ~ q(X2) ),
inference(variable_rename,[status(thm)],[c_0_462]) ).
fof(c_0_731,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| ~ p(X2) ),
inference(variable_rename,[status(thm)],[c_0_463]) ).
fof(c_0_732,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_464]) ).
fof(c_0_733,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| ~ r(X2) ),
inference(variable_rename,[status(thm)],[c_0_465]) ).
fof(c_0_734,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_466]) ).
fof(c_0_735,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_467]) ).
fof(c_0_736,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| ~ p(X2) ),
inference(variable_rename,[status(thm)],[c_0_468]) ).
fof(c_0_737,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_469]) ).
fof(c_0_738,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_470]) ).
fof(c_0_739,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_471]) ).
fof(c_0_740,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| ~ r(X2) ),
inference(variable_rename,[status(thm)],[c_0_472]) ).
fof(c_0_741,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| ~ q(X2) ),
inference(variable_rename,[status(thm)],[c_0_473]) ).
fof(c_0_742,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_474]) ).
fof(c_0_743,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_475]) ).
fof(c_0_744,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| ~ p(X2) ),
inference(variable_rename,[status(thm)],[c_0_476]) ).
fof(c_0_745,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| ~ r(X2) ),
inference(variable_rename,[status(thm)],[c_0_477]) ).
fof(c_0_746,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_478]) ).
fof(c_0_747,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| ~ q(X2) ),
inference(variable_rename,[status(thm)],[c_0_479]) ).
fof(c_0_748,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| ~ pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_480]) ).
fof(c_0_749,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_481]) ).
fof(c_0_750,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| ~ r(X2) ),
inference(variable_rename,[status(thm)],[c_0_482]) ).
fof(c_0_751,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_483]) ).
fof(c_0_752,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| ~ rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_484]) ).
fof(c_0_753,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| ~ qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_485]) ).
fof(c_0_754,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| ~ q(X2) ),
inference(variable_rename,[status(thm)],[c_0_486]) ).
fof(c_0_755,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| ~ p(X2) ),
inference(variable_rename,[status(thm)],[c_0_487]) ).
fof(c_0_756,negated_conjecture,
! [X2] :
( ~ aq(X2)
| ~ ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_488]) ).
fof(c_0_757,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_489]) ).
fof(c_0_758,negated_conjecture,
! [X2] :
( ~ ap(X2)
| ~ aq(X2) ),
inference(variable_rename,[status(thm)],[c_0_490]) ).
fof(c_0_759,negated_conjecture,
! [X2] :
( qp(X2)
| rq(X2)
| pr(X2) ),
inference(variable_rename,[status(thm)],[c_0_491]) ).
fof(c_0_760,negated_conjecture,
! [X2] :
( ap(X2)
| aq(X2)
| ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_492]) ).
fof(c_0_761,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| ap(X2) ),
inference(variable_rename,[status(thm)],[c_0_493]) ).
fof(c_0_762,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_494]) ).
fof(c_0_763,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| q(X2) ),
inference(variable_rename,[status(thm)],[c_0_495]) ).
fof(c_0_764,negated_conjecture,
! [X2] :
( ~ rpq4(X2)
| p(X2) ),
inference(variable_rename,[status(thm)],[c_0_496]) ).
fof(c_0_765,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| ap(X2) ),
inference(variable_rename,[status(thm)],[c_0_497]) ).
fof(c_0_766,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_498]) ).
fof(c_0_767,negated_conjecture,
! [X2] :
( ~ rpq3(X2)
| r(X2) ),
inference(variable_rename,[status(thm)],[c_0_499]) ).
fof(c_0_768,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| ap(X2) ),
inference(variable_rename,[status(thm)],[c_0_500]) ).
fof(c_0_769,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| p(X2) ),
inference(variable_rename,[status(thm)],[c_0_501]) ).
fof(c_0_770,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_502]) ).
fof(c_0_771,negated_conjecture,
! [X2] :
( ~ rpq2(X2)
| r(X2) ),
inference(variable_rename,[status(thm)],[c_0_503]) ).
fof(c_0_772,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| ap(X2) ),
inference(variable_rename,[status(thm)],[c_0_504]) ).
fof(c_0_773,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| q(X2) ),
inference(variable_rename,[status(thm)],[c_0_505]) ).
fof(c_0_774,negated_conjecture,
! [X2] :
( ~ rpq1(X2)
| rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_506]) ).
fof(c_0_775,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_507]) ).
fof(c_0_776,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_508]) ).
fof(c_0_777,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| p(X2) ),
inference(variable_rename,[status(thm)],[c_0_509]) ).
fof(c_0_778,negated_conjecture,
! [X2] :
( ~ qrp4(X2)
| r(X2) ),
inference(variable_rename,[status(thm)],[c_0_510]) ).
fof(c_0_779,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_511]) ).
fof(c_0_780,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_512]) ).
fof(c_0_781,negated_conjecture,
! [X2] :
( ~ qrp3(X2)
| q(X2) ),
inference(variable_rename,[status(thm)],[c_0_513]) ).
fof(c_0_782,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_514]) ).
fof(c_0_783,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| r(X2) ),
inference(variable_rename,[status(thm)],[c_0_515]) ).
fof(c_0_784,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_516]) ).
fof(c_0_785,negated_conjecture,
! [X2] :
( ~ qrp2(X2)
| q(X2) ),
inference(variable_rename,[status(thm)],[c_0_517]) ).
fof(c_0_786,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| ar(X2) ),
inference(variable_rename,[status(thm)],[c_0_518]) ).
fof(c_0_787,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| p(X2) ),
inference(variable_rename,[status(thm)],[c_0_519]) ).
fof(c_0_788,negated_conjecture,
! [X2] :
( ~ qrp1(X2)
| qq(X2) ),
inference(variable_rename,[status(thm)],[c_0_520]) ).
fof(c_0_789,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| aq(X2) ),
inference(variable_rename,[status(thm)],[c_0_521]) ).
fof(c_0_790,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_522]) ).
fof(c_0_791,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| r(X2) ),
inference(variable_rename,[status(thm)],[c_0_523]) ).
fof(c_0_792,negated_conjecture,
! [X2] :
( ~ pqr4(X2)
| q(X2) ),
inference(variable_rename,[status(thm)],[c_0_524]) ).
fof(c_0_793,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| aq(X2) ),
inference(variable_rename,[status(thm)],[c_0_525]) ).
fof(c_0_794,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| rr(X2) ),
inference(variable_rename,[status(thm)],[c_0_526]) ).
fof(c_0_795,negated_conjecture,
! [X2] :
( ~ pqr3(X2)
| p(X2) ),
inference(variable_rename,[status(thm)],[c_0_527]) ).
fof(c_0_796,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| aq(X2) ),
inference(variable_rename,[status(thm)],[c_0_528]) ).
fof(c_0_797,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| q(X2) ),
inference(variable_rename,[status(thm)],[c_0_529]) ).
fof(c_0_798,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_530]) ).
fof(c_0_799,negated_conjecture,
! [X2] :
( ~ pqr2(X2)
| p(X2) ),
inference(variable_rename,[status(thm)],[c_0_531]) ).
fof(c_0_800,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| aq(X2) ),
inference(variable_rename,[status(thm)],[c_0_532]) ).
fof(c_0_801,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| r(X2) ),
inference(variable_rename,[status(thm)],[c_0_533]) ).
fof(c_0_802,negated_conjecture,
! [X2] :
( ~ pqr1(X2)
| pp(X2) ),
inference(variable_rename,[status(thm)],[c_0_534]) ).
fof(c_0_803,negated_conjecture,
ap(a),
c_0_535 ).
cnf(c_0_804,negated_conjecture,
( pp(X1)
| r(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_805,negated_conjecture,
( q(X1)
| pp(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_537]) ).
cnf(c_0_806,negated_conjecture,
( rr(X1)
| q(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_807,negated_conjecture,
( p(X1)
| rr(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_539]) ).
cnf(c_0_808,negated_conjecture,
( qq(X1)
| p(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_809,negated_conjecture,
( r(X1)
| qq(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_810,negated_conjecture,
( pp(X1)
| rr(X1)
| r(X1)
| ~ rq(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_542]) ).
cnf(c_0_811,negated_conjecture,
( pp(X1)
| rr(X1)
| r(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_543]) ).
cnf(c_0_812,negated_conjecture,
( qq(X1)
| q(X1)
| pp(X1)
| ~ p(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_544]) ).
cnf(c_0_813,negated_conjecture,
( pp(X1)
| p(X1)
| r(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_814,negated_conjecture,
( pp(X1)
| p(X1)
| r(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_546]) ).
cnf(c_0_815,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_547]) ).
cnf(c_0_816,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_548]) ).
cnf(c_0_817,negated_conjecture,
( rr(X1)
| qq(X1)
| q(X1)
| ~ qp(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_549]) ).
cnf(c_0_818,negated_conjecture,
( rr(X1)
| qq(X1)
| q(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_550]) ).
cnf(c_0_819,negated_conjecture,
( pp(X1)
| p(X1)
| rr(X1)
| ~ r(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_551]) ).
cnf(c_0_820,negated_conjecture,
( rr(X1)
| r(X1)
| q(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_552]) ).
cnf(c_0_821,negated_conjecture,
( rr(X1)
| r(X1)
| q(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_553]) ).
cnf(c_0_822,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_554]) ).
cnf(c_0_823,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_555]) ).
cnf(c_0_824,negated_conjecture,
( qq(X1)
| pp(X1)
| p(X1)
| ~ pr(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_556]) ).
cnf(c_0_825,negated_conjecture,
( qq(X1)
| pp(X1)
| p(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_557]) ).
cnf(c_0_826,negated_conjecture,
( rr(X1)
| r(X1)
| qq(X1)
| ~ q(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_558]) ).
cnf(c_0_827,negated_conjecture,
( qq(X1)
| q(X1)
| p(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_559]) ).
cnf(c_0_828,negated_conjecture,
( qq(X1)
| q(X1)
| p(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_560]) ).
cnf(c_0_829,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_830,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_562]) ).
cnf(c_0_831,negated_conjecture,
( r(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_832,negated_conjecture,
( q(X1)
| ~ pp(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_833,negated_conjecture,
( q(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_834,negated_conjecture,
( p(X1)
| ~ rr(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_566]) ).
cnf(c_0_835,negated_conjecture,
( p(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_836,negated_conjecture,
( r(X1)
| ~ qq(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_568]) ).
cnf(c_0_837,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| rr(X1)
| ~ rq(s(X1))
| ~ qq(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_569]) ).
cnf(c_0_838,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| qq(X1)
| ~ qp(s(X1))
| ~ pp(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_570]) ).
cnf(c_0_839,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| pp(X1)
| ~ pr(s(X1))
| ~ rr(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_571]) ).
cnf(c_0_840,negated_conjecture,
( p(s(X1))
| pp(X1)
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_572]) ).
cnf(c_0_841,negated_conjecture,
( p(s(X1))
| q(X1)
| pp(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_573]) ).
cnf(c_0_842,negated_conjecture,
( r(s(X1))
| rr(X1)
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_843,negated_conjecture,
( r(s(X1))
| p(X1)
| rr(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_844,negated_conjecture,
( q(s(X1))
| qq(X1)
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_576]) ).
cnf(c_0_845,negated_conjecture,
( q(s(X1))
| r(X1)
| qq(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_577]) ).
cnf(c_0_846,negated_conjecture,
( q(X1)
| p(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_847,negated_conjecture,
( q(X1)
| p(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_579]) ).
cnf(c_0_848,negated_conjecture,
( p(X1)
| r(X1)
| ~ pp(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_580]) ).
cnf(c_0_849,negated_conjecture,
( p(X1)
| r(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_581]) ).
cnf(c_0_850,negated_conjecture,
( p(X1)
| r(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_851,negated_conjecture,
( p(X1)
| r(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_583]) ).
cnf(c_0_852,negated_conjecture,
( r(X1)
| q(X1)
| ~ rr(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_853,negated_conjecture,
( r(X1)
| q(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_854,negated_conjecture,
( r(X1)
| q(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_586]) ).
cnf(c_0_855,negated_conjecture,
( r(X1)
| q(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_587]) ).
cnf(c_0_856,negated_conjecture,
( q(X1)
| p(X1)
| ~ qq(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_588]) ).
cnf(c_0_857,negated_conjecture,
( q(X1)
| p(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_589]) ).
cnf(c_0_858,negated_conjecture,
( pp(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_590]) ).
cnf(c_0_859,negated_conjecture,
( rq(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_591]) ).
cnf(c_0_860,negated_conjecture,
( pp(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_592]) ).
cnf(c_0_861,negated_conjecture,
( rr(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_593]) ).
cnf(c_0_862,negated_conjecture,
( qp(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_594]) ).
cnf(c_0_863,negated_conjecture,
( rr(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_595]) ).
cnf(c_0_864,negated_conjecture,
( qq(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_865,negated_conjecture,
( pr(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_597]) ).
cnf(c_0_866,negated_conjecture,
( qq(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_598]) ).
cnf(c_0_867,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_599]) ).
cnf(c_0_868,negated_conjecture,
( qq(X1)
| q(X1)
| p(X1)
| ~ p(s(X1))
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_600]) ).
cnf(c_0_869,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_870,negated_conjecture,
( pp(X1)
| p(X1)
| r(X1)
| ~ r(s(X1))
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_871,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_603]) ).
cnf(c_0_872,negated_conjecture,
( rr(X1)
| r(X1)
| q(X1)
| ~ q(s(X1))
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_604]) ).
cnf(c_0_873,negated_conjecture,
( p(s(X1))
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_605]) ).
cnf(c_0_874,negated_conjecture,
( p(s(X1))
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_606]) ).
cnf(c_0_875,negated_conjecture,
( r(s(X1))
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_876,negated_conjecture,
( r(s(X1))
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_608]) ).
cnf(c_0_877,negated_conjecture,
( q(s(X1))
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_609]) ).
cnf(c_0_878,negated_conjecture,
( q(s(X1))
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_610]) ).
cnf(c_0_879,negated_conjecture,
( pp(s(X1))
| q(X1)
| pp(X1)
| p(X1)
| rr(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_880,negated_conjecture,
( p(s(X1))
| q(X1)
| pp(X1)
| p(X1)
| rr(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_612]) ).
cnf(c_0_881,negated_conjecture,
( rq(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| r(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_613]) ).
cnf(c_0_882,negated_conjecture,
( pp(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| r(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_614]) ).
cnf(c_0_883,negated_conjecture,
( p(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| r(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_615]) ).
cnf(c_0_884,negated_conjecture,
( rr(s(X1))
| p(X1)
| rr(X1)
| r(X1)
| qq(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_616]) ).
cnf(c_0_885,negated_conjecture,
( r(s(X1))
| p(X1)
| rr(X1)
| r(X1)
| qq(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_617]) ).
cnf(c_0_886,negated_conjecture,
( qp(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| q(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_618]) ).
cnf(c_0_887,negated_conjecture,
( rr(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| q(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_619]) ).
cnf(c_0_888,negated_conjecture,
( r(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| q(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_620]) ).
cnf(c_0_889,negated_conjecture,
( qq(s(X1))
| r(X1)
| qq(X1)
| q(X1)
| pp(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_621]) ).
cnf(c_0_890,negated_conjecture,
( q(s(X1))
| r(X1)
| qq(X1)
| q(X1)
| pp(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_622]) ).
cnf(c_0_891,negated_conjecture,
( pr(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| p(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_623]) ).
cnf(c_0_892,negated_conjecture,
( qq(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| p(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_624]) ).
cnf(c_0_893,negated_conjecture,
( q(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| p(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_625]) ).
cnf(c_0_894,negated_conjecture,
( qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ p(s(X1))
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_626]) ).
cnf(c_0_895,negated_conjecture,
( pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_627]) ).
cnf(c_0_896,negated_conjecture,
( pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ r(s(X1))
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_628]) ).
cnf(c_0_897,negated_conjecture,
( rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_629]) ).
cnf(c_0_898,negated_conjecture,
( rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ q(s(X1))
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_630]) ).
cnf(c_0_899,negated_conjecture,
( qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_631]) ).
cnf(c_0_900,negated_conjecture,
( pp(s(X1))
| qq(X1)
| r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_901,negated_conjecture,
( p(s(X1))
| qq(X1)
| r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_902,negated_conjecture,
( pp(s(X1))
| q(X1)
| rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_903,negated_conjecture,
( p(s(X1))
| q(X1)
| rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_904,negated_conjecture,
( rr(s(X1))
| pp(X1)
| q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_905,negated_conjecture,
( r(s(X1))
| pp(X1)
| q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_906,negated_conjecture,
( rr(s(X1))
| p(X1)
| qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_907,negated_conjecture,
( r(s(X1))
| p(X1)
| qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_639]) ).
cnf(c_0_908,negated_conjecture,
( qq(s(X1))
| rr(X1)
| p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_640]) ).
cnf(c_0_909,negated_conjecture,
( q(s(X1))
| rr(X1)
| p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_641]) ).
cnf(c_0_910,negated_conjecture,
( qq(s(X1))
| r(X1)
| pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_642]) ).
cnf(c_0_911,negated_conjecture,
( q(s(X1))
| r(X1)
| pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_912,negated_conjecture,
( pp(s(X1))
| p(X1)
| rr(X1)
| r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_913,negated_conjecture,
( pp(s(X1))
| qq(X1)
| q(X1)
| p(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_914,negated_conjecture,
( pp(s(X1))
| qq(X1)
| pp(X1)
| r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_915,negated_conjecture,
( p(s(X1))
| qq(X1)
| pp(X1)
| r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_647]) ).
cnf(c_0_916,negated_conjecture,
( pp(s(X1))
| q(X1)
| pp(X1)
| rr(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_917,negated_conjecture,
( p(s(X1))
| q(X1)
| pp(X1)
| rr(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_918,negated_conjecture,
( rr(s(X1))
| r(X1)
| qq(X1)
| q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_919,negated_conjecture,
( rr(s(X1))
| pp(X1)
| p(X1)
| r(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_651]) ).
cnf(c_0_920,negated_conjecture,
( rr(s(X1))
| pp(X1)
| rr(X1)
| q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_921,negated_conjecture,
( r(s(X1))
| pp(X1)
| rr(X1)
| q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_922,negated_conjecture,
( rr(s(X1))
| p(X1)
| rr(X1)
| qq(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_654]) ).
cnf(c_0_923,negated_conjecture,
( r(s(X1))
| p(X1)
| rr(X1)
| qq(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_655]) ).
cnf(c_0_924,negated_conjecture,
( qq(s(X1))
| q(X1)
| pp(X1)
| p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_925,negated_conjecture,
( qq(s(X1))
| rr(X1)
| r(X1)
| q(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_926,negated_conjecture,
( qq(s(X1))
| rr(X1)
| qq(X1)
| p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_658]) ).
cnf(c_0_927,negated_conjecture,
( q(s(X1))
| rr(X1)
| qq(X1)
| p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_659]) ).
cnf(c_0_928,negated_conjecture,
( qq(s(X1))
| r(X1)
| qq(X1)
| pp(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_929,negated_conjecture,
( q(s(X1))
| r(X1)
| qq(X1)
| pp(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_930,negated_conjecture,
( ~ pp(s(X1))
| ~ q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_931,negated_conjecture,
( ~ p(s(X1))
| ~ q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_932,negated_conjecture,
( ~ rr(s(X1))
| ~ p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_933,negated_conjecture,
( ~ r(s(X1))
| ~ p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_934,negated_conjecture,
( ~ qq(s(X1))
| ~ r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_935,negated_conjecture,
( ~ q(s(X1))
| ~ r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_936,negated_conjecture,
( pp(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_937,negated_conjecture,
( pp(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ q(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_938,negated_conjecture,
( rr(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_939,negated_conjecture,
( rr(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ p(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_940,negated_conjecture,
( qq(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_941,negated_conjecture,
( qq(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ r(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_942,negated_conjecture,
( p(X1)
| ~ pp(s(X1))
| ~ q(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_674]) ).
cnf(c_0_943,negated_conjecture,
( p(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_675]) ).
cnf(c_0_944,negated_conjecture,
( r(X1)
| ~ rr(s(X1))
| ~ p(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_676]) ).
cnf(c_0_945,negated_conjecture,
( r(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_677]) ).
cnf(c_0_946,negated_conjecture,
( q(X1)
| ~ qq(s(X1))
| ~ r(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_678]) ).
cnf(c_0_947,negated_conjecture,
( q(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_679]) ).
cnf(c_0_948,negated_conjecture,
( q(X1)
| r(X1)
| ~ pp(s(X1))
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_680]) ).
cnf(c_0_949,negated_conjecture,
( p(X1)
| q(X1)
| ~ rr(s(X1))
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_681]) ).
cnf(c_0_950,negated_conjecture,
( r(X1)
| p(X1)
| ~ qq(s(X1))
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_682]) ).
cnf(c_0_951,negated_conjecture,
( rq(X1)
| rpq4(X1)
| rpq3(X1)
| rpq2(X1)
| rpq1(X1)
| ~ rq(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_952,negated_conjecture,
( qp(X1)
| qrp4(X1)
| qrp3(X1)
| qrp2(X1)
| qrp1(X1)
| ~ qp(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_684]) ).
cnf(c_0_953,negated_conjecture,
( pr(X1)
| pqr4(X1)
| pqr3(X1)
| pqr2(X1)
| pqr1(X1)
| ~ pr(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_954,negated_conjecture,
( q(X1)
| p(X1)
| r(X1)
| ~ pp(s(X1))
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_955,negated_conjecture,
( p(X1)
| r(X1)
| q(X1)
| ~ rr(s(X1))
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_687]) ).
cnf(c_0_956,negated_conjecture,
( r(X1)
| q(X1)
| p(X1)
| ~ qq(s(X1))
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_688]) ).
cnf(c_0_957,negated_conjecture,
( rq(s(X1))
| rpq4(X1)
| rpq3(X1)
| rpq2(X1)
| rpq1(X1)
| ~ rq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_689]) ).
cnf(c_0_958,negated_conjecture,
( qp(s(X1))
| qrp4(X1)
| qrp3(X1)
| qrp2(X1)
| qrp1(X1)
| ~ qp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_690]) ).
cnf(c_0_959,negated_conjecture,
( pr(s(X1))
| pqr4(X1)
| pqr3(X1)
| pqr2(X1)
| pqr1(X1)
| ~ pr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_691]) ).
cnf(c_0_960,negated_conjecture,
( p(s(X1))
| q(X1)
| r(X1)
| ~ p(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_692]) ).
cnf(c_0_961,negated_conjecture,
( r(s(X1))
| p(X1)
| q(X1)
| ~ r(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_693]) ).
cnf(c_0_962,negated_conjecture,
( q(s(X1))
| r(X1)
| p(X1)
| ~ q(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_694]) ).
cnf(c_0_963,negated_conjecture,
( p(s(X1))
| q(X1)
| p(X1)
| r(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_964,negated_conjecture,
( r(s(X1))
| p(X1)
| r(X1)
| q(X1)
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_696]) ).
cnf(c_0_965,negated_conjecture,
( q(s(X1))
| r(X1)
| q(X1)
| p(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_697]) ).
cnf(c_0_966,negated_conjecture,
( pp(X1)
| ap(X1)
| ~ pp(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_698]) ).
cnf(c_0_967,negated_conjecture,
( p(X1)
| ap(X1)
| ~ p(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_699]) ).
cnf(c_0_968,negated_conjecture,
( rr(X1)
| ar(X1)
| ~ rr(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_700]) ).
cnf(c_0_969,negated_conjecture,
( r(X1)
| ar(X1)
| ~ r(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_701]) ).
cnf(c_0_970,negated_conjecture,
( qq(X1)
| aq(X1)
| ~ qq(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_702]) ).
cnf(c_0_971,negated_conjecture,
( q(X1)
| aq(X1)
| ~ q(s(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_703]) ).
cnf(c_0_972,negated_conjecture,
( pp(s(X1))
| ap(X1)
| ~ pp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_704]) ).
cnf(c_0_973,negated_conjecture,
( p(s(X1))
| ap(X1)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_705]) ).
cnf(c_0_974,negated_conjecture,
( rr(s(X1))
| ar(X1)
| ~ rr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_706]) ).
cnf(c_0_975,negated_conjecture,
( r(s(X1))
| ar(X1)
| ~ r(X1) ),
inference(split_conjunct,[status(thm)],[c_0_707]) ).
cnf(c_0_976,negated_conjecture,
( qq(s(X1))
| aq(X1)
| ~ qq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_708]) ).
cnf(c_0_977,negated_conjecture,
( q(s(X1))
| aq(X1)
| ~ q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_709]) ).
cnf(c_0_978,negated_conjecture,
( ~ pr(X1)
| ~ rq(X1)
| ~ qp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_710]) ).
cnf(c_0_979,negated_conjecture,
( ap(s(X1))
| ~ ar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_711]) ).
cnf(c_0_980,negated_conjecture,
( ar(s(X1))
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_712]) ).
cnf(c_0_981,negated_conjecture,
( aq(s(X1))
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_713]) ).
cnf(c_0_982,negated_conjecture,
( ~ pp(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_714]) ).
cnf(c_0_983,negated_conjecture,
( ~ rr(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_984,negated_conjecture,
( ~ r(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_716]) ).
cnf(c_0_985,negated_conjecture,
( ~ q(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_717]) ).
cnf(c_0_986,negated_conjecture,
( ~ pp(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_718]) ).
cnf(c_0_987,negated_conjecture,
( ~ p(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_988,negated_conjecture,
( ~ rr(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_720]) ).
cnf(c_0_989,negated_conjecture,
( ~ qq(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_721]) ).
cnf(c_0_990,negated_conjecture,
( ~ q(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_722]) ).
cnf(c_0_991,negated_conjecture,
( ~ pp(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_723]) ).
cnf(c_0_992,negated_conjecture,
( ~ qq(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_724]) ).
cnf(c_0_993,negated_conjecture,
( ~ pp(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_725]) ).
cnf(c_0_994,negated_conjecture,
( ~ p(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_726]) ).
cnf(c_0_995,negated_conjecture,
( ~ r(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_727]) ).
cnf(c_0_996,negated_conjecture,
( ~ rr(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_728]) ).
cnf(c_0_997,negated_conjecture,
( ~ qq(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_729]) ).
cnf(c_0_998,negated_conjecture,
( ~ q(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_730]) ).
cnf(c_0_999,negated_conjecture,
( ~ p(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1000,negated_conjecture,
( ~ rr(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_732]) ).
cnf(c_0_1001,negated_conjecture,
( ~ r(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_733]) ).
cnf(c_0_1002,negated_conjecture,
( ~ qq(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_734]) ).
cnf(c_0_1003,negated_conjecture,
( ~ pp(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_735]) ).
cnf(c_0_1004,negated_conjecture,
( ~ p(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_736]) ).
cnf(c_0_1005,negated_conjecture,
( ~ rr(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_737]) ).
cnf(c_0_1006,negated_conjecture,
( ~ pp(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_738]) ).
cnf(c_0_1007,negated_conjecture,
( ~ rr(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_739]) ).
cnf(c_0_1008,negated_conjecture,
( ~ r(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_740]) ).
cnf(c_0_1009,negated_conjecture,
( ~ q(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_741]) ).
cnf(c_0_1010,negated_conjecture,
( ~ qq(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_742]) ).
cnf(c_0_1011,negated_conjecture,
( ~ pp(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_743]) ).
cnf(c_0_1012,negated_conjecture,
( ~ p(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_744]) ).
cnf(c_0_1013,negated_conjecture,
( ~ r(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_745]) ).
cnf(c_0_1014,negated_conjecture,
( ~ qq(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_746]) ).
cnf(c_0_1015,negated_conjecture,
( ~ q(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_747]) ).
cnf(c_0_1016,negated_conjecture,
( ~ pp(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_748]) ).
cnf(c_0_1017,negated_conjecture,
( ~ rr(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_749]) ).
cnf(c_0_1018,negated_conjecture,
( ~ r(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_1019,negated_conjecture,
( ~ qq(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_751]) ).
cnf(c_0_1020,negated_conjecture,
( ~ rr(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_752]) ).
cnf(c_0_1021,negated_conjecture,
( ~ qq(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_1022,negated_conjecture,
( ~ q(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_754]) ).
cnf(c_0_1023,negated_conjecture,
( ~ p(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1024,negated_conjecture,
( ~ ar(X1)
| ~ aq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_756]) ).
cnf(c_0_1025,negated_conjecture,
( ~ ar(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_757]) ).
cnf(c_0_1026,negated_conjecture,
( ~ aq(X1)
| ~ ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_758]) ).
cnf(c_0_1027,negated_conjecture,
( pr(X1)
| rq(X1)
| qp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_759]) ).
cnf(c_0_1028,negated_conjecture,
( ar(X1)
| aq(X1)
| ap(X1) ),
inference(split_conjunct,[status(thm)],[c_0_760]) ).
cnf(c_0_1029,negated_conjecture,
( ap(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_761]) ).
cnf(c_0_1030,negated_conjecture,
( qq(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_762]) ).
cnf(c_0_1031,negated_conjecture,
( q(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_763]) ).
cnf(c_0_1032,negated_conjecture,
( p(X1)
| ~ rpq4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_764]) ).
cnf(c_0_1033,negated_conjecture,
( ap(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_765]) ).
cnf(c_0_1034,negated_conjecture,
( qq(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_766]) ).
cnf(c_0_1035,negated_conjecture,
( r(X1)
| ~ rpq3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_767]) ).
cnf(c_0_1036,negated_conjecture,
( ap(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_768]) ).
cnf(c_0_1037,negated_conjecture,
( p(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_769]) ).
cnf(c_0_1038,negated_conjecture,
( rr(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_770]) ).
cnf(c_0_1039,negated_conjecture,
( r(X1)
| ~ rpq2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_771]) ).
cnf(c_0_1040,negated_conjecture,
( ap(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_772]) ).
cnf(c_0_1041,negated_conjecture,
( q(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_773]) ).
cnf(c_0_1042,negated_conjecture,
( rr(X1)
| ~ rpq1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_774]) ).
cnf(c_0_1043,negated_conjecture,
( ar(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_775]) ).
cnf(c_0_1044,negated_conjecture,
( pp(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_776]) ).
cnf(c_0_1045,negated_conjecture,
( p(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_777]) ).
cnf(c_0_1046,negated_conjecture,
( r(X1)
| ~ qrp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_778]) ).
cnf(c_0_1047,negated_conjecture,
( ar(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_779]) ).
cnf(c_0_1048,negated_conjecture,
( pp(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_780]) ).
cnf(c_0_1049,negated_conjecture,
( q(X1)
| ~ qrp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_1050,negated_conjecture,
( ar(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_782]) ).
cnf(c_0_1051,negated_conjecture,
( r(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_783]) ).
cnf(c_0_1052,negated_conjecture,
( qq(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_784]) ).
cnf(c_0_1053,negated_conjecture,
( q(X1)
| ~ qrp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_785]) ).
cnf(c_0_1054,negated_conjecture,
( ar(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_786]) ).
cnf(c_0_1055,negated_conjecture,
( p(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_787]) ).
cnf(c_0_1056,negated_conjecture,
( qq(X1)
| ~ qrp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_788]) ).
cnf(c_0_1057,negated_conjecture,
( aq(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_789]) ).
cnf(c_0_1058,negated_conjecture,
( rr(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_790]) ).
cnf(c_0_1059,negated_conjecture,
( r(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_791]) ).
cnf(c_0_1060,negated_conjecture,
( q(X1)
| ~ pqr4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_792]) ).
cnf(c_0_1061,negated_conjecture,
( aq(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_793]) ).
cnf(c_0_1062,negated_conjecture,
( rr(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_794]) ).
cnf(c_0_1063,negated_conjecture,
( p(X1)
| ~ pqr3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_795]) ).
cnf(c_0_1064,negated_conjecture,
( aq(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_796]) ).
cnf(c_0_1065,negated_conjecture,
( q(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_797]) ).
cnf(c_0_1066,negated_conjecture,
( pp(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_798]) ).
cnf(c_0_1067,negated_conjecture,
( p(X1)
| ~ pqr2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_1068,negated_conjecture,
( aq(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_800]) ).
cnf(c_0_1069,negated_conjecture,
( r(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_801]) ).
cnf(c_0_1070,negated_conjecture,
( pp(X1)
| ~ pqr1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_802]) ).
cnf(c_0_1071,negated_conjecture,
ap(a),
inference(split_conjunct,[status(thm)],[c_0_803]) ).
cnf(c_0_1072,negated_conjecture,
( pp(X1)
| r(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_804,
[final] ).
cnf(c_0_1073,negated_conjecture,
( q(X1)
| pp(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_805,
[final] ).
cnf(c_0_1074,negated_conjecture,
( rr(X1)
| q(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_806,
[final] ).
cnf(c_0_1075,negated_conjecture,
( p(X1)
| rr(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_807,
[final] ).
cnf(c_0_1076,negated_conjecture,
( qq(X1)
| p(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_808,
[final] ).
cnf(c_0_1077,negated_conjecture,
( r(X1)
| qq(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_809,
[final] ).
cnf(c_0_1078,negated_conjecture,
( pp(X1)
| rr(X1)
| r(X1)
| ~ rq(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_810,
[final] ).
cnf(c_0_1079,negated_conjecture,
( pp(X1)
| rr(X1)
| r(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_811,
[final] ).
cnf(c_0_1080,negated_conjecture,
( qq(X1)
| q(X1)
| pp(X1)
| ~ p(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_812,
[final] ).
cnf(c_0_1081,negated_conjecture,
( pp(X1)
| p(X1)
| r(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_813,
[final] ).
cnf(c_0_1082,negated_conjecture,
( pp(X1)
| p(X1)
| r(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_814,
[final] ).
cnf(c_0_1083,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_815,
[final] ).
cnf(c_0_1084,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_816,
[final] ).
cnf(c_0_1085,negated_conjecture,
( rr(X1)
| qq(X1)
| q(X1)
| ~ qp(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_817,
[final] ).
cnf(c_0_1086,negated_conjecture,
( rr(X1)
| qq(X1)
| q(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_818,
[final] ).
cnf(c_0_1087,negated_conjecture,
( pp(X1)
| p(X1)
| rr(X1)
| ~ r(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_819,
[final] ).
cnf(c_0_1088,negated_conjecture,
( rr(X1)
| r(X1)
| q(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_820,
[final] ).
cnf(c_0_1089,negated_conjecture,
( rr(X1)
| r(X1)
| q(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_821,
[final] ).
cnf(c_0_1090,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_822,
[final] ).
cnf(c_0_1091,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_823,
[final] ).
cnf(c_0_1092,negated_conjecture,
( qq(X1)
| pp(X1)
| p(X1)
| ~ pr(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_824,
[final] ).
cnf(c_0_1093,negated_conjecture,
( qq(X1)
| pp(X1)
| p(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_825,
[final] ).
cnf(c_0_1094,negated_conjecture,
( rr(X1)
| r(X1)
| qq(X1)
| ~ q(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_826,
[final] ).
cnf(c_0_1095,negated_conjecture,
( qq(X1)
| q(X1)
| p(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_827,
[final] ).
cnf(c_0_1096,negated_conjecture,
( qq(X1)
| q(X1)
| p(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_828,
[final] ).
cnf(c_0_1097,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_829,
[final] ).
cnf(c_0_1098,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_830,
[final] ).
cnf(c_0_1099,negated_conjecture,
( r(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_831,
[final] ).
cnf(c_0_1100,negated_conjecture,
( q(X1)
| ~ pp(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_832,
[final] ).
cnf(c_0_1101,negated_conjecture,
( q(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_833,
[final] ).
cnf(c_0_1102,negated_conjecture,
( p(X1)
| ~ rr(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_834,
[final] ).
cnf(c_0_1103,negated_conjecture,
( p(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_835,
[final] ).
cnf(c_0_1104,negated_conjecture,
( r(X1)
| ~ qq(s(X1))
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_836,
[final] ).
cnf(c_0_1105,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| rr(X1)
| ~ rq(s(X1))
| ~ qq(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_837,
[final] ).
cnf(c_0_1106,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| qq(X1)
| ~ qp(s(X1))
| ~ pp(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_838,
[final] ).
cnf(c_0_1107,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| pp(X1)
| ~ pr(s(X1))
| ~ rr(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_839,
[final] ).
cnf(c_0_1108,negated_conjecture,
( p(s(X1))
| pp(X1)
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_840,
[final] ).
cnf(c_0_1109,negated_conjecture,
( p(s(X1))
| q(X1)
| pp(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_841,
[final] ).
cnf(c_0_1110,negated_conjecture,
( r(s(X1))
| rr(X1)
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_842,
[final] ).
cnf(c_0_1111,negated_conjecture,
( r(s(X1))
| p(X1)
| rr(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_843,
[final] ).
cnf(c_0_1112,negated_conjecture,
( q(s(X1))
| qq(X1)
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_844,
[final] ).
cnf(c_0_1113,negated_conjecture,
( q(s(X1))
| r(X1)
| qq(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_845,
[final] ).
cnf(c_0_1114,negated_conjecture,
( q(X1)
| p(X1)
| ~ pp(s(X1))
| ~ qq(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_846,
[final] ).
cnf(c_0_1115,negated_conjecture,
( q(X1)
| p(X1)
| ~ p(s(X1))
| ~ qq(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_847,
[final] ).
cnf(c_0_1116,negated_conjecture,
( p(X1)
| r(X1)
| ~ pp(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_848,
[final] ).
cnf(c_0_1117,negated_conjecture,
( p(X1)
| r(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_849,
[final] ).
cnf(c_0_1118,negated_conjecture,
( p(X1)
| r(X1)
| ~ rr(s(X1))
| ~ pp(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_850,
[final] ).
cnf(c_0_1119,negated_conjecture,
( p(X1)
| r(X1)
| ~ r(s(X1))
| ~ pp(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_851,
[final] ).
cnf(c_0_1120,negated_conjecture,
( r(X1)
| q(X1)
| ~ rr(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_852,
[final] ).
cnf(c_0_1121,negated_conjecture,
( r(X1)
| q(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_853,
[final] ).
cnf(c_0_1122,negated_conjecture,
( r(X1)
| q(X1)
| ~ qq(s(X1))
| ~ rr(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_854,
[final] ).
cnf(c_0_1123,negated_conjecture,
( r(X1)
| q(X1)
| ~ q(s(X1))
| ~ rr(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_855,
[final] ).
cnf(c_0_1124,negated_conjecture,
( q(X1)
| p(X1)
| ~ qq(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_856,
[final] ).
cnf(c_0_1125,negated_conjecture,
( q(X1)
| p(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_857,
[final] ).
cnf(c_0_1126,negated_conjecture,
( pp(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_858,
[final] ).
cnf(c_0_1127,negated_conjecture,
( rq(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_859,
[final] ).
cnf(c_0_1128,negated_conjecture,
( pp(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_860,
[final] ).
cnf(c_0_1129,negated_conjecture,
( rr(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_861,
[final] ).
cnf(c_0_1130,negated_conjecture,
( qp(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_862,
[final] ).
cnf(c_0_1131,negated_conjecture,
( rr(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_863,
[final] ).
cnf(c_0_1132,negated_conjecture,
( qq(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_864,
[final] ).
cnf(c_0_1133,negated_conjecture,
( pr(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_865,
[final] ).
cnf(c_0_1134,negated_conjecture,
( qq(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_866,
[final] ).
cnf(c_0_1135,negated_conjecture,
( p(X1)
| rr(X1)
| r(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ pp(X1)
| ~ ap(X1) ),
c_0_867,
[final] ).
cnf(c_0_1136,negated_conjecture,
( qq(X1)
| q(X1)
| p(X1)
| ~ p(s(X1))
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_868,
[final] ).
cnf(c_0_1137,negated_conjecture,
( r(X1)
| qq(X1)
| q(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ rr(X1)
| ~ ar(X1) ),
c_0_869,
[final] ).
cnf(c_0_1138,negated_conjecture,
( pp(X1)
| p(X1)
| r(X1)
| ~ r(s(X1))
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_870,
[final] ).
cnf(c_0_1139,negated_conjecture,
( q(X1)
| pp(X1)
| p(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ qq(X1)
| ~ aq(X1) ),
c_0_871,
[final] ).
cnf(c_0_1140,negated_conjecture,
( rr(X1)
| r(X1)
| q(X1)
| ~ q(s(X1))
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_872,
[final] ).
cnf(c_0_1141,negated_conjecture,
( p(s(X1))
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_873,
[final] ).
cnf(c_0_1142,negated_conjecture,
( p(s(X1))
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_874,
[final] ).
cnf(c_0_1143,negated_conjecture,
( r(s(X1))
| q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_875,
[final] ).
cnf(c_0_1144,negated_conjecture,
( r(s(X1))
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_876,
[final] ).
cnf(c_0_1145,negated_conjecture,
( q(s(X1))
| p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_877,
[final] ).
cnf(c_0_1146,negated_conjecture,
( q(s(X1))
| r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_878,
[final] ).
cnf(c_0_1147,negated_conjecture,
( pp(s(X1))
| q(X1)
| pp(X1)
| p(X1)
| rr(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_879,
[final] ).
cnf(c_0_1148,negated_conjecture,
( p(s(X1))
| q(X1)
| pp(X1)
| p(X1)
| rr(X1)
| ~ qq(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_880,
[final] ).
cnf(c_0_1149,negated_conjecture,
( rq(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| r(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_881,
[final] ).
cnf(c_0_1150,negated_conjecture,
( pp(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| r(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_882,
[final] ).
cnf(c_0_1151,negated_conjecture,
( p(s(X1))
| qq(X1)
| pp(X1)
| p(X1)
| r(X1)
| ~ q(X1)
| ~ rr(X1)
| ~ ap(X1) ),
c_0_883,
[final] ).
cnf(c_0_1152,negated_conjecture,
( rr(s(X1))
| p(X1)
| rr(X1)
| r(X1)
| qq(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_884,
[final] ).
cnf(c_0_1153,negated_conjecture,
( r(s(X1))
| p(X1)
| rr(X1)
| r(X1)
| qq(X1)
| ~ pp(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_885,
[final] ).
cnf(c_0_1154,negated_conjecture,
( qp(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| q(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_886,
[final] ).
cnf(c_0_1155,negated_conjecture,
( rr(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| q(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_887,
[final] ).
cnf(c_0_1156,negated_conjecture,
( r(s(X1))
| pp(X1)
| rr(X1)
| r(X1)
| q(X1)
| ~ p(X1)
| ~ qq(X1)
| ~ ar(X1) ),
c_0_888,
[final] ).
cnf(c_0_1157,negated_conjecture,
( qq(s(X1))
| r(X1)
| qq(X1)
| q(X1)
| pp(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_889,
[final] ).
cnf(c_0_1158,negated_conjecture,
( q(s(X1))
| r(X1)
| qq(X1)
| q(X1)
| pp(X1)
| ~ rr(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_890,
[final] ).
cnf(c_0_1159,negated_conjecture,
( pr(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| p(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_891,
[final] ).
cnf(c_0_1160,negated_conjecture,
( qq(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| p(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_892,
[final] ).
cnf(c_0_1161,negated_conjecture,
( q(s(X1))
| rr(X1)
| qq(X1)
| q(X1)
| p(X1)
| ~ r(X1)
| ~ pp(X1)
| ~ aq(X1) ),
c_0_893,
[final] ).
cnf(c_0_1162,negated_conjecture,
( qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ p(s(X1))
| ~ r(X1)
| ~ ap(X1) ),
c_0_894,
[final] ).
cnf(c_0_1163,negated_conjecture,
( pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ ap(X1) ),
c_0_895,
[final] ).
cnf(c_0_1164,negated_conjecture,
( pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ r(s(X1))
| ~ q(X1)
| ~ ar(X1) ),
c_0_896,
[final] ).
cnf(c_0_1165,negated_conjecture,
( rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ ar(X1) ),
c_0_897,
[final] ).
cnf(c_0_1166,negated_conjecture,
( rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ q(s(X1))
| ~ p(X1)
| ~ aq(X1) ),
c_0_898,
[final] ).
cnf(c_0_1167,negated_conjecture,
( qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ aq(X1) ),
c_0_899,
[final] ).
cnf(c_0_1168,negated_conjecture,
( pp(s(X1))
| qq(X1)
| r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_900,
[final] ).
cnf(c_0_1169,negated_conjecture,
( p(s(X1))
| qq(X1)
| r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_901,
[final] ).
cnf(c_0_1170,negated_conjecture,
( pp(s(X1))
| q(X1)
| rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_902,
[final] ).
cnf(c_0_1171,negated_conjecture,
( p(s(X1))
| q(X1)
| rr(X1)
| ~ pp(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_903,
[final] ).
cnf(c_0_1172,negated_conjecture,
( rr(s(X1))
| pp(X1)
| q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_904,
[final] ).
cnf(c_0_1173,negated_conjecture,
( r(s(X1))
| pp(X1)
| q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_905,
[final] ).
cnf(c_0_1174,negated_conjecture,
( rr(s(X1))
| p(X1)
| qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_906,
[final] ).
cnf(c_0_1175,negated_conjecture,
( r(s(X1))
| p(X1)
| qq(X1)
| ~ rr(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_907,
[final] ).
cnf(c_0_1176,negated_conjecture,
( qq(s(X1))
| rr(X1)
| p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_908,
[final] ).
cnf(c_0_1177,negated_conjecture,
( q(s(X1))
| rr(X1)
| p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_909,
[final] ).
cnf(c_0_1178,negated_conjecture,
( qq(s(X1))
| r(X1)
| pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_910,
[final] ).
cnf(c_0_1179,negated_conjecture,
( q(s(X1))
| r(X1)
| pp(X1)
| ~ qq(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_911,
[final] ).
cnf(c_0_1180,negated_conjecture,
( pp(s(X1))
| p(X1)
| rr(X1)
| r(X1)
| ~ q(X1)
| ~ pp(X1)
| ~ ap(X1) ),
c_0_912,
[final] ).
cnf(c_0_1181,negated_conjecture,
( pp(s(X1))
| qq(X1)
| q(X1)
| p(X1)
| ~ pp(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_913,
[final] ).
cnf(c_0_1182,negated_conjecture,
( pp(s(X1))
| qq(X1)
| pp(X1)
| r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_914,
[final] ).
cnf(c_0_1183,negated_conjecture,
( p(s(X1))
| qq(X1)
| pp(X1)
| r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_915,
[final] ).
cnf(c_0_1184,negated_conjecture,
( pp(s(X1))
| q(X1)
| pp(X1)
| rr(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_916,
[final] ).
cnf(c_0_1185,negated_conjecture,
( p(s(X1))
| q(X1)
| pp(X1)
| rr(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_917,
[final] ).
cnf(c_0_1186,negated_conjecture,
( rr(s(X1))
| r(X1)
| qq(X1)
| q(X1)
| ~ p(X1)
| ~ rr(X1)
| ~ ar(X1) ),
c_0_918,
[final] ).
cnf(c_0_1187,negated_conjecture,
( rr(s(X1))
| pp(X1)
| p(X1)
| r(X1)
| ~ rr(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_919,
[final] ).
cnf(c_0_1188,negated_conjecture,
( rr(s(X1))
| pp(X1)
| rr(X1)
| q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_920,
[final] ).
cnf(c_0_1189,negated_conjecture,
( r(s(X1))
| pp(X1)
| rr(X1)
| q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_921,
[final] ).
cnf(c_0_1190,negated_conjecture,
( rr(s(X1))
| p(X1)
| rr(X1)
| qq(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_922,
[final] ).
cnf(c_0_1191,negated_conjecture,
( r(s(X1))
| p(X1)
| rr(X1)
| qq(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_923,
[final] ).
cnf(c_0_1192,negated_conjecture,
( qq(s(X1))
| q(X1)
| pp(X1)
| p(X1)
| ~ r(X1)
| ~ qq(X1)
| ~ aq(X1) ),
c_0_924,
[final] ).
cnf(c_0_1193,negated_conjecture,
( qq(s(X1))
| rr(X1)
| r(X1)
| q(X1)
| ~ qq(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_925,
[final] ).
cnf(c_0_1194,negated_conjecture,
( qq(s(X1))
| rr(X1)
| qq(X1)
| p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_926,
[final] ).
cnf(c_0_1195,negated_conjecture,
( q(s(X1))
| rr(X1)
| qq(X1)
| p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_927,
[final] ).
cnf(c_0_1196,negated_conjecture,
( qq(s(X1))
| r(X1)
| qq(X1)
| pp(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_928,
[final] ).
cnf(c_0_1197,negated_conjecture,
( q(s(X1))
| r(X1)
| qq(X1)
| pp(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_929,
[final] ).
cnf(c_0_1198,negated_conjecture,
( ~ pp(s(X1))
| ~ q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_930,
[final] ).
cnf(c_0_1199,negated_conjecture,
( ~ p(s(X1))
| ~ q(X1)
| ~ p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_931,
[final] ).
cnf(c_0_1200,negated_conjecture,
( ~ rr(s(X1))
| ~ p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_932,
[final] ).
cnf(c_0_1201,negated_conjecture,
( ~ r(s(X1))
| ~ p(X1)
| ~ r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_933,
[final] ).
cnf(c_0_1202,negated_conjecture,
( ~ qq(s(X1))
| ~ r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_934,
[final] ).
cnf(c_0_1203,negated_conjecture,
( ~ q(s(X1))
| ~ r(X1)
| ~ q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_935,
[final] ).
cnf(c_0_1204,negated_conjecture,
( pp(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_936,
[final] ).
cnf(c_0_1205,negated_conjecture,
( pp(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ q(X1)
| ~ ap(X1) ),
c_0_937,
[final] ).
cnf(c_0_1206,negated_conjecture,
( rr(s(X1))
| pp(X1)
| p(X1)
| rr(X1)
| r(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_938,
[final] ).
cnf(c_0_1207,negated_conjecture,
( rr(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ p(X1)
| ~ ar(X1) ),
c_0_939,
[final] ).
cnf(c_0_1208,negated_conjecture,
( qq(s(X1))
| rr(X1)
| r(X1)
| qq(X1)
| q(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_940,
[final] ).
cnf(c_0_1209,negated_conjecture,
( qq(s(X1))
| qq(X1)
| q(X1)
| pp(X1)
| p(X1)
| ~ r(X1)
| ~ aq(X1) ),
c_0_941,
[final] ).
cnf(c_0_1210,negated_conjecture,
( p(X1)
| ~ pp(s(X1))
| ~ q(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_942,
[final] ).
cnf(c_0_1211,negated_conjecture,
( p(X1)
| ~ p(s(X1))
| ~ q(X1)
| ~ r(X1)
| ~ ap(X1) ),
c_0_943,
[final] ).
cnf(c_0_1212,negated_conjecture,
( r(X1)
| ~ rr(s(X1))
| ~ p(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_944,
[final] ).
cnf(c_0_1213,negated_conjecture,
( r(X1)
| ~ r(s(X1))
| ~ p(X1)
| ~ q(X1)
| ~ ar(X1) ),
c_0_945,
[final] ).
cnf(c_0_1214,negated_conjecture,
( q(X1)
| ~ qq(s(X1))
| ~ r(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_946,
[final] ).
cnf(c_0_1215,negated_conjecture,
( q(X1)
| ~ q(s(X1))
| ~ r(X1)
| ~ p(X1)
| ~ aq(X1) ),
c_0_947,
[final] ).
cnf(c_0_1216,negated_conjecture,
( q(X1)
| r(X1)
| ~ pp(s(X1))
| ~ p(X1)
| ~ ap(X1) ),
c_0_948,
[final] ).
cnf(c_0_1217,negated_conjecture,
( p(X1)
| q(X1)
| ~ rr(s(X1))
| ~ r(X1)
| ~ ar(X1) ),
c_0_949,
[final] ).
cnf(c_0_1218,negated_conjecture,
( r(X1)
| p(X1)
| ~ qq(s(X1))
| ~ q(X1)
| ~ aq(X1) ),
c_0_950,
[final] ).
cnf(c_0_1219,negated_conjecture,
( rq(X1)
| rpq4(X1)
| rpq3(X1)
| rpq2(X1)
| rpq1(X1)
| ~ rq(s(X1)) ),
c_0_951,
[final] ).
cnf(c_0_1220,negated_conjecture,
( qp(X1)
| qrp4(X1)
| qrp3(X1)
| qrp2(X1)
| qrp1(X1)
| ~ qp(s(X1)) ),
c_0_952,
[final] ).
cnf(c_0_1221,negated_conjecture,
( pr(X1)
| pqr4(X1)
| pqr3(X1)
| pqr2(X1)
| pqr1(X1)
| ~ pr(s(X1)) ),
c_0_953,
[final] ).
cnf(c_0_1222,negated_conjecture,
( q(X1)
| p(X1)
| r(X1)
| ~ pp(s(X1))
| ~ ap(X1) ),
c_0_954,
[final] ).
cnf(c_0_1223,negated_conjecture,
( p(X1)
| r(X1)
| q(X1)
| ~ rr(s(X1))
| ~ ar(X1) ),
c_0_955,
[final] ).
cnf(c_0_1224,negated_conjecture,
( r(X1)
| q(X1)
| p(X1)
| ~ qq(s(X1))
| ~ aq(X1) ),
c_0_956,
[final] ).
cnf(c_0_1225,negated_conjecture,
( rq(s(X1))
| rpq4(X1)
| rpq3(X1)
| rpq2(X1)
| rpq1(X1)
| ~ rq(X1) ),
c_0_957,
[final] ).
cnf(c_0_1226,negated_conjecture,
( qp(s(X1))
| qrp4(X1)
| qrp3(X1)
| qrp2(X1)
| qrp1(X1)
| ~ qp(X1) ),
c_0_958,
[final] ).
cnf(c_0_1227,negated_conjecture,
( pr(s(X1))
| pqr4(X1)
| pqr3(X1)
| pqr2(X1)
| pqr1(X1)
| ~ pr(X1) ),
c_0_959,
[final] ).
cnf(c_0_1228,negated_conjecture,
( p(s(X1))
| q(X1)
| r(X1)
| ~ p(X1)
| ~ ap(X1) ),
c_0_960,
[final] ).
cnf(c_0_1229,negated_conjecture,
( r(s(X1))
| p(X1)
| q(X1)
| ~ r(X1)
| ~ ar(X1) ),
c_0_961,
[final] ).
cnf(c_0_1230,negated_conjecture,
( q(s(X1))
| r(X1)
| p(X1)
| ~ q(X1)
| ~ aq(X1) ),
c_0_962,
[final] ).
cnf(c_0_1231,negated_conjecture,
( p(s(X1))
| q(X1)
| p(X1)
| r(X1)
| ~ ap(X1) ),
c_0_963,
[final] ).
cnf(c_0_1232,negated_conjecture,
( r(s(X1))
| p(X1)
| r(X1)
| q(X1)
| ~ ar(X1) ),
c_0_964,
[final] ).
cnf(c_0_1233,negated_conjecture,
( q(s(X1))
| r(X1)
| q(X1)
| p(X1)
| ~ aq(X1) ),
c_0_965,
[final] ).
cnf(c_0_1234,negated_conjecture,
( pp(X1)
| ap(X1)
| ~ pp(s(X1)) ),
c_0_966,
[final] ).
cnf(c_0_1235,negated_conjecture,
( p(X1)
| ap(X1)
| ~ p(s(X1)) ),
c_0_967,
[final] ).
cnf(c_0_1236,negated_conjecture,
( rr(X1)
| ar(X1)
| ~ rr(s(X1)) ),
c_0_968,
[final] ).
cnf(c_0_1237,negated_conjecture,
( r(X1)
| ar(X1)
| ~ r(s(X1)) ),
c_0_969,
[final] ).
cnf(c_0_1238,negated_conjecture,
( qq(X1)
| aq(X1)
| ~ qq(s(X1)) ),
c_0_970,
[final] ).
cnf(c_0_1239,negated_conjecture,
( q(X1)
| aq(X1)
| ~ q(s(X1)) ),
c_0_971,
[final] ).
cnf(c_0_1240,negated_conjecture,
( pp(s(X1))
| ap(X1)
| ~ pp(X1) ),
c_0_972,
[final] ).
cnf(c_0_1241,negated_conjecture,
( p(s(X1))
| ap(X1)
| ~ p(X1) ),
c_0_973,
[final] ).
cnf(c_0_1242,negated_conjecture,
( rr(s(X1))
| ar(X1)
| ~ rr(X1) ),
c_0_974,
[final] ).
cnf(c_0_1243,negated_conjecture,
( r(s(X1))
| ar(X1)
| ~ r(X1) ),
c_0_975,
[final] ).
cnf(c_0_1244,negated_conjecture,
( qq(s(X1))
| aq(X1)
| ~ qq(X1) ),
c_0_976,
[final] ).
cnf(c_0_1245,negated_conjecture,
( q(s(X1))
| aq(X1)
| ~ q(X1) ),
c_0_977,
[final] ).
cnf(c_0_1246,negated_conjecture,
( ~ pr(X1)
| ~ rq(X1)
| ~ qp(X1) ),
c_0_978,
[final] ).
cnf(c_0_1247,negated_conjecture,
( ap(s(X1))
| ~ ar(X1) ),
c_0_979,
[final] ).
cnf(c_0_1248,negated_conjecture,
( ar(s(X1))
| ~ aq(X1) ),
c_0_980,
[final] ).
cnf(c_0_1249,negated_conjecture,
( aq(s(X1))
| ~ ap(X1) ),
c_0_981,
[final] ).
cnf(c_0_1250,negated_conjecture,
( ~ pp(X1)
| ~ rpq4(X1) ),
c_0_982,
[final] ).
cnf(c_0_1251,negated_conjecture,
( ~ rr(X1)
| ~ rpq4(X1) ),
c_0_983,
[final] ).
cnf(c_0_1252,negated_conjecture,
( ~ r(X1)
| ~ rpq4(X1) ),
c_0_984,
[final] ).
cnf(c_0_1253,negated_conjecture,
( ~ q(X1)
| ~ rpq3(X1) ),
c_0_985,
[final] ).
cnf(c_0_1254,negated_conjecture,
( ~ pp(X1)
| ~ rpq3(X1) ),
c_0_986,
[final] ).
cnf(c_0_1255,negated_conjecture,
( ~ p(X1)
| ~ rpq3(X1) ),
c_0_987,
[final] ).
cnf(c_0_1256,negated_conjecture,
( ~ rr(X1)
| ~ rpq3(X1) ),
c_0_988,
[final] ).
cnf(c_0_1257,negated_conjecture,
( ~ qq(X1)
| ~ rpq2(X1) ),
c_0_989,
[final] ).
cnf(c_0_1258,negated_conjecture,
( ~ q(X1)
| ~ rpq2(X1) ),
c_0_990,
[final] ).
cnf(c_0_1259,negated_conjecture,
( ~ pp(X1)
| ~ rpq2(X1) ),
c_0_991,
[final] ).
cnf(c_0_1260,negated_conjecture,
( ~ qq(X1)
| ~ rpq1(X1) ),
c_0_992,
[final] ).
cnf(c_0_1261,negated_conjecture,
( ~ pp(X1)
| ~ rpq1(X1) ),
c_0_993,
[final] ).
cnf(c_0_1262,negated_conjecture,
( ~ p(X1)
| ~ rpq1(X1) ),
c_0_994,
[final] ).
cnf(c_0_1263,negated_conjecture,
( ~ r(X1)
| ~ rpq1(X1) ),
c_0_995,
[final] ).
cnf(c_0_1264,negated_conjecture,
( ~ rr(X1)
| ~ qrp4(X1) ),
c_0_996,
[final] ).
cnf(c_0_1265,negated_conjecture,
( ~ qq(X1)
| ~ qrp4(X1) ),
c_0_997,
[final] ).
cnf(c_0_1266,negated_conjecture,
( ~ q(X1)
| ~ qrp4(X1) ),
c_0_998,
[final] ).
cnf(c_0_1267,negated_conjecture,
( ~ p(X1)
| ~ qrp3(X1) ),
c_0_999,
[final] ).
cnf(c_0_1268,negated_conjecture,
( ~ rr(X1)
| ~ qrp3(X1) ),
c_0_1000,
[final] ).
cnf(c_0_1269,negated_conjecture,
( ~ r(X1)
| ~ qrp3(X1) ),
c_0_1001,
[final] ).
cnf(c_0_1270,negated_conjecture,
( ~ qq(X1)
| ~ qrp3(X1) ),
c_0_1002,
[final] ).
cnf(c_0_1271,negated_conjecture,
( ~ pp(X1)
| ~ qrp2(X1) ),
c_0_1003,
[final] ).
cnf(c_0_1272,negated_conjecture,
( ~ p(X1)
| ~ qrp2(X1) ),
c_0_1004,
[final] ).
cnf(c_0_1273,negated_conjecture,
( ~ rr(X1)
| ~ qrp2(X1) ),
c_0_1005,
[final] ).
cnf(c_0_1274,negated_conjecture,
( ~ pp(X1)
| ~ qrp1(X1) ),
c_0_1006,
[final] ).
cnf(c_0_1275,negated_conjecture,
( ~ rr(X1)
| ~ qrp1(X1) ),
c_0_1007,
[final] ).
cnf(c_0_1276,negated_conjecture,
( ~ r(X1)
| ~ qrp1(X1) ),
c_0_1008,
[final] ).
cnf(c_0_1277,negated_conjecture,
( ~ q(X1)
| ~ qrp1(X1) ),
c_0_1009,
[final] ).
cnf(c_0_1278,negated_conjecture,
( ~ qq(X1)
| ~ pqr4(X1) ),
c_0_1010,
[final] ).
cnf(c_0_1279,negated_conjecture,
( ~ pp(X1)
| ~ pqr4(X1) ),
c_0_1011,
[final] ).
cnf(c_0_1280,negated_conjecture,
( ~ p(X1)
| ~ pqr4(X1) ),
c_0_1012,
[final] ).
cnf(c_0_1281,negated_conjecture,
( ~ r(X1)
| ~ pqr3(X1) ),
c_0_1013,
[final] ).
cnf(c_0_1282,negated_conjecture,
( ~ qq(X1)
| ~ pqr3(X1) ),
c_0_1014,
[final] ).
cnf(c_0_1283,negated_conjecture,
( ~ q(X1)
| ~ pqr3(X1) ),
c_0_1015,
[final] ).
cnf(c_0_1284,negated_conjecture,
( ~ pp(X1)
| ~ pqr3(X1) ),
c_0_1016,
[final] ).
cnf(c_0_1285,negated_conjecture,
( ~ rr(X1)
| ~ pqr2(X1) ),
c_0_1017,
[final] ).
cnf(c_0_1286,negated_conjecture,
( ~ r(X1)
| ~ pqr2(X1) ),
c_0_1018,
[final] ).
cnf(c_0_1287,negated_conjecture,
( ~ qq(X1)
| ~ pqr2(X1) ),
c_0_1019,
[final] ).
cnf(c_0_1288,negated_conjecture,
( ~ rr(X1)
| ~ pqr1(X1) ),
c_0_1020,
[final] ).
cnf(c_0_1289,negated_conjecture,
( ~ qq(X1)
| ~ pqr1(X1) ),
c_0_1021,
[final] ).
cnf(c_0_1290,negated_conjecture,
( ~ q(X1)
| ~ pqr1(X1) ),
c_0_1022,
[final] ).
cnf(c_0_1291,negated_conjecture,
( ~ p(X1)
| ~ pqr1(X1) ),
c_0_1023,
[final] ).
cnf(c_0_1292,negated_conjecture,
( ~ ar(X1)
| ~ aq(X1) ),
c_0_1024,
[final] ).
cnf(c_0_1293,negated_conjecture,
( ~ ar(X1)
| ~ ap(X1) ),
c_0_1025,
[final] ).
cnf(c_0_1294,negated_conjecture,
( ~ aq(X1)
| ~ ap(X1) ),
c_0_1026,
[final] ).
cnf(c_0_1295,negated_conjecture,
( pr(X1)
| rq(X1)
| qp(X1) ),
c_0_1027,
[final] ).
cnf(c_0_1296,negated_conjecture,
( ar(X1)
| aq(X1)
| ap(X1) ),
c_0_1028,
[final] ).
cnf(c_0_1297,negated_conjecture,
( ap(X1)
| ~ rpq4(X1) ),
c_0_1029,
[final] ).
cnf(c_0_1298,negated_conjecture,
( qq(X1)
| ~ rpq4(X1) ),
c_0_1030,
[final] ).
cnf(c_0_1299,negated_conjecture,
( q(X1)
| ~ rpq4(X1) ),
c_0_1031,
[final] ).
cnf(c_0_1300,negated_conjecture,
( p(X1)
| ~ rpq4(X1) ),
c_0_1032,
[final] ).
cnf(c_0_1301,negated_conjecture,
( ap(X1)
| ~ rpq3(X1) ),
c_0_1033,
[final] ).
cnf(c_0_1302,negated_conjecture,
( qq(X1)
| ~ rpq3(X1) ),
c_0_1034,
[final] ).
cnf(c_0_1303,negated_conjecture,
( r(X1)
| ~ rpq3(X1) ),
c_0_1035,
[final] ).
cnf(c_0_1304,negated_conjecture,
( ap(X1)
| ~ rpq2(X1) ),
c_0_1036,
[final] ).
cnf(c_0_1305,negated_conjecture,
( p(X1)
| ~ rpq2(X1) ),
c_0_1037,
[final] ).
cnf(c_0_1306,negated_conjecture,
( rr(X1)
| ~ rpq2(X1) ),
c_0_1038,
[final] ).
cnf(c_0_1307,negated_conjecture,
( r(X1)
| ~ rpq2(X1) ),
c_0_1039,
[final] ).
cnf(c_0_1308,negated_conjecture,
( ap(X1)
| ~ rpq1(X1) ),
c_0_1040,
[final] ).
cnf(c_0_1309,negated_conjecture,
( q(X1)
| ~ rpq1(X1) ),
c_0_1041,
[final] ).
cnf(c_0_1310,negated_conjecture,
( rr(X1)
| ~ rpq1(X1) ),
c_0_1042,
[final] ).
cnf(c_0_1311,negated_conjecture,
( ar(X1)
| ~ qrp4(X1) ),
c_0_1043,
[final] ).
cnf(c_0_1312,negated_conjecture,
( pp(X1)
| ~ qrp4(X1) ),
c_0_1044,
[final] ).
cnf(c_0_1313,negated_conjecture,
( p(X1)
| ~ qrp4(X1) ),
c_0_1045,
[final] ).
cnf(c_0_1314,negated_conjecture,
( r(X1)
| ~ qrp4(X1) ),
c_0_1046,
[final] ).
cnf(c_0_1315,negated_conjecture,
( ar(X1)
| ~ qrp3(X1) ),
c_0_1047,
[final] ).
cnf(c_0_1316,negated_conjecture,
( pp(X1)
| ~ qrp3(X1) ),
c_0_1048,
[final] ).
cnf(c_0_1317,negated_conjecture,
( q(X1)
| ~ qrp3(X1) ),
c_0_1049,
[final] ).
cnf(c_0_1318,negated_conjecture,
( ar(X1)
| ~ qrp2(X1) ),
c_0_1050,
[final] ).
cnf(c_0_1319,negated_conjecture,
( r(X1)
| ~ qrp2(X1) ),
c_0_1051,
[final] ).
cnf(c_0_1320,negated_conjecture,
( qq(X1)
| ~ qrp2(X1) ),
c_0_1052,
[final] ).
cnf(c_0_1321,negated_conjecture,
( q(X1)
| ~ qrp2(X1) ),
c_0_1053,
[final] ).
cnf(c_0_1322,negated_conjecture,
( ar(X1)
| ~ qrp1(X1) ),
c_0_1054,
[final] ).
cnf(c_0_1323,negated_conjecture,
( p(X1)
| ~ qrp1(X1) ),
c_0_1055,
[final] ).
cnf(c_0_1324,negated_conjecture,
( qq(X1)
| ~ qrp1(X1) ),
c_0_1056,
[final] ).
cnf(c_0_1325,negated_conjecture,
( aq(X1)
| ~ pqr4(X1) ),
c_0_1057,
[final] ).
cnf(c_0_1326,negated_conjecture,
( rr(X1)
| ~ pqr4(X1) ),
c_0_1058,
[final] ).
cnf(c_0_1327,negated_conjecture,
( r(X1)
| ~ pqr4(X1) ),
c_0_1059,
[final] ).
cnf(c_0_1328,negated_conjecture,
( q(X1)
| ~ pqr4(X1) ),
c_0_1060,
[final] ).
cnf(c_0_1329,negated_conjecture,
( aq(X1)
| ~ pqr3(X1) ),
c_0_1061,
[final] ).
cnf(c_0_1330,negated_conjecture,
( rr(X1)
| ~ pqr3(X1) ),
c_0_1062,
[final] ).
cnf(c_0_1331,negated_conjecture,
( p(X1)
| ~ pqr3(X1) ),
c_0_1063,
[final] ).
cnf(c_0_1332,negated_conjecture,
( aq(X1)
| ~ pqr2(X1) ),
c_0_1064,
[final] ).
cnf(c_0_1333,negated_conjecture,
( q(X1)
| ~ pqr2(X1) ),
c_0_1065,
[final] ).
cnf(c_0_1334,negated_conjecture,
( pp(X1)
| ~ pqr2(X1) ),
c_0_1066,
[final] ).
cnf(c_0_1335,negated_conjecture,
( p(X1)
| ~ pqr2(X1) ),
c_0_1067,
[final] ).
cnf(c_0_1336,negated_conjecture,
( aq(X1)
| ~ pqr1(X1) ),
c_0_1068,
[final] ).
cnf(c_0_1337,negated_conjecture,
( r(X1)
| ~ pqr1(X1) ),
c_0_1069,
[final] ).
cnf(c_0_1338,negated_conjecture,
( pp(X1)
| ~ pqr1(X1) ),
c_0_1070,
[final] ).
cnf(c_0_1339,negated_conjecture,
ap(a),
c_0_1071,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_149,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1221) ).
cnf(c_553,negated_conjecture,
( pr(X0)
| ~ pr(s(X0))
| pqr3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_149,c_553]) ).
cnf(c_555,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_553,c_555]) ).
cnf(c_817,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_149,c_555]) ).
cnf(c_1253,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(copy,[status(esa)],[c_817]) ).
cnf(c_2157,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(copy,[status(esa)],[c_1253]) ).
cnf(c_2488,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(copy,[status(esa)],[c_2157]) ).
cnf(c_2631,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(copy,[status(esa)],[c_2488]) ).
cnf(c_3232,negated_conjecture,
( ~ pr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(copy,[status(esa)],[c_2631]) ).
cnf(c_223,negated_conjecture,
( rq(X0)
| qp(X0)
| pr(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1295) ).
cnf(c_1401,negated_conjecture,
( rq(X0)
| qp(X0)
| pr(X0) ),
inference(copy,[status(esa)],[c_223]) ).
cnf(c_2103,negated_conjecture,
( rq(X0)
| qp(X0)
| pr(X0) ),
inference(copy,[status(esa)],[c_1401]) ).
cnf(c_2542,negated_conjecture,
( rq(X0)
| qp(X0)
| pr(X0) ),
inference(copy,[status(esa)],[c_2103]) ).
cnf(c_2786,negated_conjecture,
( rq(X0)
| qp(X0)
| pr(X0) ),
inference(copy,[status(esa)],[c_2542]) ).
cnf(c_3542,plain,
( rq(X0)
| qp(X0)
| pr(X0) ),
inference(copy,[status(esa)],[c_2786]) ).
cnf(c_4310,plain,
( rq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_3232,c_3542]) ).
cnf(c_4311,plain,
( rq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_4310]) ).
cnf(c_148,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1220) ).
cnf(c_557,negated_conjecture,
( qp(X0)
| ~ qp(s(X0))
| qrp3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_148,c_557]) ).
cnf(c_559,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_557,c_559]) ).
cnf(c_818,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_148,c_559]) ).
cnf(c_1251,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(copy,[status(esa)],[c_818]) ).
cnf(c_2158,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(copy,[status(esa)],[c_1251]) ).
cnf(c_2487,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(copy,[status(esa)],[c_2158]) ).
cnf(c_2632,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(copy,[status(esa)],[c_2487]) ).
cnf(c_3234,negated_conjecture,
( ~ qp(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(copy,[status(esa)],[c_2632]) ).
cnf(c_6616,plain,
( rq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_4311,c_3234]) ).
cnf(c_6617,plain,
( rq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_6616]) ).
cnf(c_33,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1105) ).
cnf(c_1021,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_33]) ).
cnf(c_2033,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_1021]) ).
cnf(c_2612,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_2033]) ).
cnf(c_2626,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_2612]) ).
cnf(c_3222,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_2626]) ).
cnf(c_6653,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_6617,c_3222]) ).
cnf(c_6656,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_6653]) ).
cnf(c_266,negated_conjecture,
( pp(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1338) ).
cnf(c_1487,negated_conjecture,
( pp(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_266]) ).
cnf(c_2146,negated_conjecture,
( pp(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1487]) ).
cnf(c_2499,negated_conjecture,
( pp(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2146]) ).
cnf(c_2855,negated_conjecture,
( pp(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2499]) ).
cnf(c_3680,negated_conjecture,
( pp(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2855]) ).
cnf(c_215,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1287) ).
cnf(c_1385,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_215]) ).
cnf(c_2095,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1385]) ).
cnf(c_2550,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2095]) ).
cnf(c_2774,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2550]) ).
cnf(c_3518,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2774]) ).
cnf(c_251,negated_conjecture,
( p(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1323) ).
cnf(c_1457,negated_conjecture,
( p(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_251]) ).
cnf(c_2131,negated_conjecture,
( p(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1457]) ).
cnf(c_2514,negated_conjecture,
( p(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2131]) ).
cnf(c_2826,negated_conjecture,
( p(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2514]) ).
cnf(c_3622,negated_conjecture,
( p(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2826]) ).
cnf(c_249,negated_conjecture,
( q(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1321) ).
cnf(c_1453,negated_conjecture,
( q(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_249]) ).
cnf(c_2129,negated_conjecture,
( q(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1453]) ).
cnf(c_2516,negated_conjecture,
( q(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2129]) ).
cnf(c_2823,negated_conjecture,
( q(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2516]) ).
cnf(c_3616,negated_conjecture,
( q(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2823]) ).
cnf(c_7693,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6656,c_3680,c_3518,c_3622,c_3616]) ).
cnf(c_7694,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_7693]) ).
cnf(c_7706,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7694,c_3232]) ).
cnf(c_7707,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_7706]) ).
cnf(c_8011,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7707,c_3234]) ).
cnf(c_8012,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8011]) ).
cnf(c_175,negated_conjecture,
( ap(s(X0))
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1247) ).
cnf(c_1305,negated_conjecture,
( ap(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_175]) ).
cnf(c_2055,negated_conjecture,
( ap(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1305]) ).
cnf(c_2590,negated_conjecture,
( ap(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2055]) ).
cnf(c_2716,negated_conjecture,
( ap(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2590]) ).
cnf(c_3402,plain,
( ap(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2716]) ).
cnf(c_8576,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8012,c_3402]) ).
cnf(c_8577,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8576]) ).
cnf(c_145,negated_conjecture,
( ~ r(X0)
| q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1217) ).
cnf(c_151,negated_conjecture,
( r(X0)
| q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1223) ).
cnf(c_549,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_151,c_549]) ).
cnf(c_821,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_145,c_549]) ).
cnf(c_1245,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_821]) ).
cnf(c_2155,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1245]) ).
cnf(c_2490,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2155]) ).
cnf(c_2628,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2490]) ).
cnf(c_3226,negated_conjecture,
( q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2628]) ).
cnf(c_8611,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8577,c_3226]) ).
cnf(c_8614,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8611]) ).
cnf(c_263,negated_conjecture,
( p(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1335) ).
cnf(c_1481,negated_conjecture,
( p(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_263]) ).
cnf(c_2143,negated_conjecture,
( p(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1481]) ).
cnf(c_2502,negated_conjecture,
( p(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2143]) ).
cnf(c_2849,negated_conjecture,
( p(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2502]) ).
cnf(c_3668,negated_conjecture,
( p(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2849]) ).
cnf(c_157,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| q(X0)
| p(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1229) ).
cnf(c_160,negated_conjecture,
( r(s(X0))
| r(X0)
| q(X0)
| p(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1232) ).
cnf(c_528,negated_conjecture,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_160,c_528]) ).
cnf(c_809,negated_conjecture,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_157,c_528]) ).
cnf(c_1269,negated_conjecture,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_809]) ).
cnf(c_2149,negated_conjecture,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1269]) ).
cnf(c_2496,negated_conjecture,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2149]) ).
cnf(c_2619,negated_conjecture,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2496]) ).
cnf(c_3208,plain,
( r(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2619]) ).
cnf(c_9883,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8614,c_3668,c_3622,c_3616,c_3208]) ).
cnf(c_9884,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9883]) ).
cnf(c_163,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1235) ).
cnf(c_1281,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_163]) ).
cnf(c_2043,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_1281]) ).
cnf(c_2602,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2043]) ).
cnf(c_2698,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2602]) ).
cnf(c_3366,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2698]) ).
cnf(c_9905,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_9884,c_3366]) ).
cnf(c_9906,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9905]) ).
cnf(c_221,negated_conjecture,
( ~ ap(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1293) ).
cnf(c_1397,negated_conjecture,
( ~ ap(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_221]) ).
cnf(c_2101,negated_conjecture,
( ~ ap(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1397]) ).
cnf(c_2544,negated_conjecture,
( ~ ap(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2101]) ).
cnf(c_2783,negated_conjecture,
( ~ ap(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2544]) ).
cnf(c_3536,plain,
( ~ ap(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2783]) ).
cnf(c_9927,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9906,c_3536]) ).
cnf(c_9928,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9927]) ).
cnf(c_167,negated_conjecture,
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1239) ).
cnf(c_1289,negated_conjecture,
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_167]) ).
cnf(c_2047,negated_conjecture,
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_1289]) ).
cnf(c_2598,negated_conjecture,
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2047]) ).
cnf(c_2704,negated_conjecture,
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2598]) ).
cnf(c_3378,negated_conjecture,
( ~ q(s(X0))
| q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2704]) ).
cnf(c_9948,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_9928,c_3378]) ).
cnf(c_9949,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9948]) ).
cnf(c_220,negated_conjecture,
( ~ ar(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1292) ).
cnf(c_1395,negated_conjecture,
( ~ ar(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_220]) ).
cnf(c_2100,negated_conjecture,
( ~ ar(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1395]) ).
cnf(c_2545,negated_conjecture,
( ~ ar(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2100]) ).
cnf(c_2781,negated_conjecture,
( ~ ar(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2545]) ).
cnf(c_3532,plain,
( ~ ar(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2781]) ).
cnf(c_9969,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9949,c_3532]) ).
cnf(c_9970,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9969]) ).
cnf(c_172,negated_conjecture,
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1244) ).
cnf(c_1299,negated_conjecture,
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_172]) ).
cnf(c_2052,negated_conjecture,
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_1299]) ).
cnf(c_2593,negated_conjecture,
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2052]) ).
cnf(c_2711,negated_conjecture,
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2593]) ).
cnf(c_3392,plain,
( qq(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2711]) ).
cnf(c_9991,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_9970,c_3392]) ).
cnf(c_9992,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9991]) ).
cnf(c_217,negated_conjecture,
( ~ qq(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1289) ).
cnf(c_1389,negated_conjecture,
( ~ qq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_217]) ).
cnf(c_2097,negated_conjecture,
( ~ qq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1389]) ).
cnf(c_2548,negated_conjecture,
( ~ qq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2097]) ).
cnf(c_2777,negated_conjecture,
( ~ qq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2548]) ).
cnf(c_3524,negated_conjecture,
( ~ qq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2777]) ).
cnf(c_10014,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9992,c_3524,c_3532]) ).
cnf(c_10015,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10014]) ).
cnf(c_162,negated_conjecture,
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1234) ).
cnf(c_1279,negated_conjecture,
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_162]) ).
cnf(c_2042,negated_conjecture,
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_1279]) ).
cnf(c_2603,negated_conjecture,
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2042]) ).
cnf(c_2696,negated_conjecture,
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2603]) ).
cnf(c_3362,plain,
( ~ pp(s(X0))
| pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2696]) ).
cnf(c_10033,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_10015,c_3362]) ).
cnf(c_10034,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10033]) ).
cnf(c_10053,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10034,c_3536]) ).
cnf(c_10054,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10053]) ).
cnf(c_20,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1092) ).
cnf(c_995,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_2032,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_995]) ).
cnf(c_2613,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_2032]) ).
cnf(c_2621,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_2613]) ).
cnf(c_3212,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_2621]) ).
cnf(c_10062,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| qp(s(X0)) ),
inference(resolution,[status(thm)],[c_10054,c_3212]) ).
cnf(c_10067,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_10062]) ).
cnf(c_173,negated_conjecture,
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1245) ).
cnf(c_1301,negated_conjecture,
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_173]) ).
cnf(c_2053,negated_conjecture,
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_1301]) ).
cnf(c_2592,negated_conjecture,
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2053]) ).
cnf(c_2713,negated_conjecture,
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2592]) ).
cnf(c_3396,negated_conjecture,
( q(s(X0))
| ~ q(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2713]) ).
cnf(c_176,negated_conjecture,
( ar(s(X0))
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1248) ).
cnf(c_1307,negated_conjecture,
( ar(s(X0))
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_176]) ).
cnf(c_2056,negated_conjecture,
( ar(s(X0))
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1307]) ).
cnf(c_2589,negated_conjecture,
( ar(s(X0))
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2056]) ).
cnf(c_2717,negated_conjecture,
( ar(s(X0))
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2589]) ).
cnf(c_3404,plain,
( ar(s(X0))
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2717]) ).
cnf(c_105,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1177) ).
cnf(c_123,negated_conjecture,
( ~ r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1195) ).
cnf(c_602,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_123,c_602]) ).
cnf(c_861,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_105,c_602]) ).
cnf(c_1165,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(copy,[status(esa)],[c_861]) ).
cnf(c_2174,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(copy,[status(esa)],[c_1165]) ).
cnf(c_2471,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(copy,[status(esa)],[c_2174]) ).
cnf(c_2652,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(copy,[status(esa)],[c_2471]) ).
cnf(c_3274,negated_conjecture,
( rr(X0)
| p(X0)
| ~ q(X0)
| q(s(X0)) ),
inference(copy,[status(esa)],[c_2652]) ).
cnf(c_3275,plain,
( q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_3274]) ).
cnf(c_73,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1145) ).
cnf(c_682,negated_conjecture,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_73,c_682]) ).
cnf(c_890,negated_conjecture,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_73,c_682]) ).
cnf(c_1101,negated_conjecture,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_890]) ).
cnf(c_2207,negated_conjecture,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_1101]) ).
cnf(c_2438,negated_conjecture,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2207]) ).
cnf(c_2687,negated_conjecture,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2438]) ).
cnf(c_3344,plain,
( ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2687]) ).
cnf(c_41,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1113) ).
cnf(c_730,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_41,c_730]) ).
cnf(c_919,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_41,c_730]) ).
cnf(c_1037,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_919]) ).
cnf(c_2226,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_1037]) ).
cnf(c_2419,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2226]) ).
cnf(c_2727,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2419]) ).
cnf(c_3424,negated_conjecture,
( ~ rr(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2727]) ).
cnf(c_3425,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3424]) ).
cnf(c_40,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1112) ).
cnf(c_732,negated_conjecture,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_40,c_732]) ).
cnf(c_920,negated_conjecture,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_40,c_732]) ).
cnf(c_1035,negated_conjecture,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_920]) ).
cnf(c_2227,negated_conjecture,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_1035]) ).
cnf(c_2418,negated_conjecture,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2227]) ).
cnf(c_2730,negated_conjecture,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2418]) ).
cnf(c_3430,plain,
( ~ pp(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2730]) ).
cnf(c_15420,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| qp(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10067,c_3396,c_3404,c_3275,c_3344,c_3425,c_3430]) ).
cnf(c_15421,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_15420]) ).
cnf(c_15436,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_15421,c_3234]) ).
cnf(c_15437,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_15436]) ).
cnf(c_205,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1277) ).
cnf(c_1365,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_205]) ).
cnf(c_2085,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1365]) ).
cnf(c_2560,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2085]) ).
cnf(c_2761,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2560]) ).
cnf(c_3492,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2761]) ).
cnf(c_15633,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15437,c_3492]) ).
cnf(c_15634,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_15633]) ).
cnf(c_64,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1136) ).
cnf(c_90,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1162) ).
cnf(c_657,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_90,c_657]) ).
cnf(c_899,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_64,c_657]) ).
cnf(c_1083,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_899]) ).
cnf(c_2196,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_1083]) ).
cnf(c_2449,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_2196]) ).
cnf(c_2676,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_2449]) ).
cnf(c_3322,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_2676]) ).
cnf(c_3323,plain,
( ~ r(X0)
| qq(X0)
| ~ p(s(X0))
| p(X0) ),
inference(rewriting,[status(thm)],[c_3322]) ).
cnf(c_15652,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_15634,c_3323]) ).
cnf(c_15661,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_15652]) ).
cnf(c_15724,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15661,c_3344]) ).
cnf(c_15725,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_15724]) ).
cnf(c_21,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1093) ).
cnf(c_768,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_21,c_768]) ).
cnf(c_936,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_21,c_768]) ).
cnf(c_997,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_936]) ).
cnf(c_2243,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_997]) ).
cnf(c_2402,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2243]) ).
cnf(c_2782,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2402]) ).
cnf(c_3534,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2782]) ).
cnf(c_15743,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_15725,c_3534]) ).
cnf(c_15752,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_15743]) ).
cnf(c_201,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1273) ).
cnf(c_1357,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_201]) ).
cnf(c_2081,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1357]) ).
cnf(c_2564,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2081]) ).
cnf(c_2755,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2564]) ).
cnf(c_3480,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2755]) ).
cnf(c_31,negated_conjecture,
( ~ r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1103) ).
cnf(c_744,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_31,c_744]) ).
cnf(c_926,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_31,c_744]) ).
cnf(c_1017,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_926]) ).
cnf(c_2233,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1017]) ).
cnf(c_2412,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2233]) ).
cnf(c_2748,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2412]) ).
cnf(c_3466,plain,
( ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2748]) ).
cnf(c_146,negated_conjecture,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1218) ).
cnf(c_152,negated_conjecture,
( r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1224) ).
cnf(c_547,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_152,c_547]) ).
cnf(c_820,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_146,c_547]) ).
cnf(c_1247,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_820]) ).
cnf(c_2154,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1247]) ).
cnf(c_2491,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2154]) ).
cnf(c_2625,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2491]) ).
cnf(c_3220,negated_conjecture,
( ~ qq(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2625]) ).
cnf(c_3221,plain,
( r(X0)
| ~ qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3220]) ).
cnf(c_4,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1076) ).
cnf(c_23,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1095) ).
cnf(c_762,negated_conjecture,
( q(X0)
| ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_23,c_762]) ).
cnf(c_764,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_762,c_764]) ).
cnf(c_950,negated_conjecture,
( ~ qq(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_4,c_764]) ).
cnf(c_963,negated_conjecture,
( ~ qq(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_950]) ).
cnf(c_964,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_963]) ).
cnf(c_2241,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_964]) ).
cnf(c_2404,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2241]) ).
cnf(c_2776,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2404]) ).
cnf(c_3522,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2776]) ).
cnf(c_15773,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15752,c_3480,c_3466,c_3221,c_3522]) ).
cnf(c_15774,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_15773]) ).
cnf(c_60,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1132) ).
cnf(c_701,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_60,c_701]) ).
cnf(c_902,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_60,c_701]) ).
cnf(c_1075,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_902]) ).
cnf(c_2214,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1075]) ).
cnf(c_2431,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2214]) ).
cnf(c_2694,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2431]) ).
cnf(c_3358,negated_conjecture,
( p(X0)
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2694]) ).
cnf(c_3359,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3358]) ).
cnf(c_15797,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_15774,c_3359]) ).
cnf(c_15810,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_15797]) ).
cnf(c_16279,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_15810,c_3362]) ).
cnf(c_16280,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16279]) ).
cnf(c_222,negated_conjecture,
( ~ ap(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1294) ).
cnf(c_1399,negated_conjecture,
( ~ ap(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_222]) ).
cnf(c_2102,negated_conjecture,
( ~ ap(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1399]) ).
cnf(c_2543,negated_conjecture,
( ~ ap(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2102]) ).
cnf(c_2784,negated_conjecture,
( ~ ap(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2543]) ).
cnf(c_3538,plain,
( ~ ap(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2784]) ).
cnf(c_16303,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16280,c_3538]) ).
cnf(c_16304,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16303]) ).
cnf(c_16320,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_16304,c_3234]) ).
cnf(c_16321,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_16320]) ).
cnf(c_177,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1249) ).
cnf(c_1309,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
inference(copy,[status(esa)],[c_177]) ).
cnf(c_2057,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
inference(copy,[status(esa)],[c_1309]) ).
cnf(c_2588,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
inference(copy,[status(esa)],[c_2057]) ).
cnf(c_2719,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
inference(copy,[status(esa)],[c_2588]) ).
cnf(c_3408,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
inference(copy,[status(esa)],[c_2719]) ).
cnf(c_16355,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_16321,c_3408]) ).
cnf(c_16356,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_16355]) ).
cnf(c_170,negated_conjecture,
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1242) ).
cnf(c_1295,negated_conjecture,
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_170]) ).
cnf(c_2050,negated_conjecture,
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_1295]) ).
cnf(c_2595,negated_conjecture,
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2050]) ).
cnf(c_2708,negated_conjecture,
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2595]) ).
cnf(c_3386,negated_conjecture,
( rr(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2708]) ).
cnf(c_16401,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_16356,c_3386]) ).
cnf(c_16402,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_16401]) ).
cnf(c_203,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1275) ).
cnf(c_1361,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_203]) ).
cnf(c_2083,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1361]) ).
cnf(c_2562,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2083]) ).
cnf(c_2758,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2562]) ).
cnf(c_3486,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2758]) ).
cnf(c_16438,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16402,c_3486,c_3480,c_3536]) ).
cnf(c_16439,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16438]) ).
cnf(c_45,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1117) ).
cnf(c_722,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_45,c_722]) ).
cnf(c_915,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_45,c_722]) ).
cnf(c_1045,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_915]) ).
cnf(c_2222,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_1045]) ).
cnf(c_2423,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2222]) ).
cnf(c_2715,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2423]) ).
cnf(c_3400,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2715]) ).
cnf(c_16460,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_16439,c_3400]) ).
cnf(c_16463,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16460]) ).
cnf(c_44,negated_conjecture,
( ~ pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1116) ).
cnf(c_724,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_44,c_724]) ).
cnf(c_916,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_44,c_724]) ).
cnf(c_1043,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_916]) ).
cnf(c_2223,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1043]) ).
cnf(c_2422,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2223]) ).
cnf(c_2718,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2422]) ).
cnf(c_3406,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2718]) ).
cnf(c_3407,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3406]) ).
cnf(c_16486,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16463,c_3430,c_3407]) ).
cnf(c_16487,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16486]) ).
cnf(c_166,negated_conjecture,
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1238) ).
cnf(c_1287,negated_conjecture,
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_166]) ).
cnf(c_2046,negated_conjecture,
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_1287]) ).
cnf(c_2599,negated_conjecture,
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2046]) ).
cnf(c_2702,negated_conjecture,
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2599]) ).
cnf(c_3374,plain,
( ~ qq(s(X0))
| qq(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2702]) ).
cnf(c_16509,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_16487,c_3374]) ).
cnf(c_16510,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16509]) ).
cnf(c_16533,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16510,c_3538]) ).
cnf(c_16534,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16533]) ).
cnf(c_119,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1191) ).
cnf(c_608,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_119,c_608]) ).
cnf(c_847,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_119,c_608]) ).
cnf(c_1193,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_847]) ).
cnf(c_2176,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_1193]) ).
cnf(c_2469,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2176]) ).
cnf(c_2655,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2469]) ).
cnf(c_3280,negated_conjecture,
( qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2655]) ).
cnf(c_3281,plain,
( r(s(X0))
| ~ r(X0)
| qq(X0)
| p(X0) ),
inference(rewriting,[status(thm)],[c_3280]) ).
cnf(c_16552,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_16534,c_3281]) ).
cnf(c_16557,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_16552]) ).
cnf(c_16986,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_16557,c_3234]) ).
cnf(c_16987,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_16986]) ).
cnf(c_17279,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_16987,c_3402]) ).
cnf(c_17280,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_17279]) ).
cnf(c_80,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1152) ).
cnf(c_118,negated_conjecture,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1190) ).
cnf(c_610,negated_conjecture,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_118,c_610]) ).
cnf(c_884,negated_conjecture,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_80,c_610]) ).
cnf(c_1115,negated_conjecture,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_884]) ).
cnf(c_2177,negated_conjecture,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1115]) ).
cnf(c_2468,negated_conjecture,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2177]) ).
cnf(c_2656,negated_conjecture,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2468]) ).
cnf(c_3282,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2656]) ).
cnf(c_17322,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_17280,c_3282]) ).
cnf(c_17329,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_17322]) ).
cnf(c_248,negated_conjecture,
( qq(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1320) ).
cnf(c_1451,negated_conjecture,
( qq(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_248]) ).
cnf(c_2128,negated_conjecture,
( qq(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1451]) ).
cnf(c_2517,negated_conjecture,
( qq(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2128]) ).
cnf(c_2822,negated_conjecture,
( qq(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2517]) ).
cnf(c_3614,negated_conjecture,
( qq(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2822]) ).
cnf(c_129,negated_conjecture,
( ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1201) ).
cnf(c_141,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1213) ).
cnf(c_572,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_141,c_572]) ).
cnf(c_837,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_129,c_572]) ).
cnf(c_1213,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_837]) ).
cnf(c_2162,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1213]) ).
cnf(c_2483,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2162]) ).
cnf(c_2636,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2483]) ).
cnf(c_3242,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2636]) ).
cnf(c_63,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1135) ).
cnf(c_91,negated_conjecture,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1163) ).
cnf(c_655,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_91,c_655]) ).
cnf(c_900,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_63,c_655]) ).
cnf(c_1081,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_900]) ).
cnf(c_2195,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_1081]) ).
cnf(c_2450,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2195]) ).
cnf(c_2675,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2450]) ).
cnf(c_3320,negated_conjecture,
( rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2675]) ).
cnf(c_3321,plain,
( ~ q(X0)
| ~ p(s(X0))
| p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_3320]) ).
cnf(c_18687,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17329,c_3492,c_3614,c_3242,c_3321,c_3275]) ).
cnf(c_18688,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_18687]) ).
cnf(c_18710,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_18688,c_3374]) ).
cnf(c_18711,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_18710]) ).
cnf(c_19104,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18711,c_3532]) ).
cnf(c_19105,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19104]) ).
cnf(c_81,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1153) ).
cnf(c_670,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_81,c_670]) ).
cnf(c_883,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_81,c_670]) ).
cnf(c_1117,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_883]) ).
cnf(c_2202,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1117]) ).
cnf(c_2443,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2202]) ).
cnf(c_2682,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2443]) ).
cnf(c_3334,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2682]) ).
cnf(c_3335,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3334]) ).
cnf(c_19119,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_19105,c_3335]) ).
cnf(c_19138,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19119]) ).
cnf(c_168,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1240) ).
cnf(c_1291,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_168]) ).
cnf(c_2048,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_1291]) ).
cnf(c_2597,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2048]) ).
cnf(c_2705,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2597]) ).
cnf(c_3380,plain,
( pp(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2705]) ).
cnf(c_19215,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_19138,c_3380]) ).
cnf(c_19216,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19215]) ).
cnf(c_19340,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19216,c_3536]) ).
cnf(c_19341,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19340]) ).
cnf(c_19358,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19341,c_3234]) ).
cnf(c_19359,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19358]) ).
cnf(c_19398,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19359,c_3404]) ).
cnf(c_19399,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19398]) ).
cnf(c_164,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1236) ).
cnf(c_1283,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_164]) ).
cnf(c_2044,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_1283]) ).
cnf(c_2601,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2044]) ).
cnf(c_2699,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2601]) ).
cnf(c_3368,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2699]) ).
cnf(c_19446,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19399,c_3368]) ).
cnf(c_19447,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19446]) ).
cnf(c_19477,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19447,c_3532]) ).
cnf(c_19478,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19477]) ).
cnf(c_19506,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19478,c_3366]) ).
cnf(c_19507,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19506]) ).
cnf(c_19536,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19507,c_3622,c_3538]) ).
cnf(c_19537,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_19536]) ).
cnf(c_158,negated_conjecture,
( r(X0)
| q(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1230) ).
cnf(c_161,negated_conjecture,
( r(X0)
| q(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1233) ).
cnf(c_526,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_161,c_526]) ).
cnf(c_808,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_158,c_526]) ).
cnf(c_1271,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_808]) ).
cnf(c_2148,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1271]) ).
cnf(c_2497,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2148]) ).
cnf(c_2618,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2497]) ).
cnf(c_3206,negated_conjecture,
( q(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2618]) ).
cnf(c_3207,plain,
( r(X0)
| q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3206]) ).
cnf(c_19560,plain,
( ~ pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_19537,c_3207]) ).
cnf(c_19565,plain,
( ~ pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_19560]) ).
cnf(c_247,negated_conjecture,
( r(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1319) ).
cnf(c_1449,negated_conjecture,
( r(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_247]) ).
cnf(c_2127,negated_conjecture,
( r(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1449]) ).
cnf(c_2518,negated_conjecture,
( r(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2127]) ).
cnf(c_2820,negated_conjecture,
( r(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2518]) ).
cnf(c_3610,negated_conjecture,
( r(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2820]) ).
cnf(c_19859,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19565,c_3610,c_3221]) ).
cnf(c_19860,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19859]) ).
cnf(c_19879,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_19860,c_3380]) ).
cnf(c_19880,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19879]) ).
cnf(c_19900,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19880,c_3538]) ).
cnf(c_19901,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19900]) ).
cnf(c_19915,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19901,c_3234]) ).
cnf(c_19916,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19915]) ).
cnf(c_20079,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19916,c_3408]) ).
cnf(c_20080,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20079]) ).
cnf(c_20116,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20080,c_3368]) ).
cnf(c_20117,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20116]) ).
cnf(c_20146,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20117,c_3536]) ).
cnf(c_20147,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20146]) ).
cnf(c_7,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1079) ).
cnf(c_794,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_7,c_794]) ).
cnf(c_948,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_7,c_794]) ).
cnf(c_969,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_948]) ).
cnf(c_2254,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_969]) ).
cnf(c_2391,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2254]) ).
cnf(c_2818,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2391]) ).
cnf(c_3606,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2818]) ).
cnf(c_3607,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3606]) ).
cnf(c_20165,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20147,c_3607]) ).
cnf(c_20184,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20165]) ).
cnf(c_1,negated_conjecture,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1073) ).
cnf(c_800,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_1,c_800]) ).
cnf(c_802,negated_conjecture,
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_800,c_802]) ).
cnf(c_1493,negated_conjecture,
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_802]) ).
cnf(c_2256,negated_conjecture,
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1493]) ).
cnf(c_2389,negated_conjecture,
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2256]) ).
cnf(c_2825,negated_conjecture,
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2389]) ).
cnf(c_3620,negated_conjecture,
( ~ qq(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2825]) ).
cnf(c_3621,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3620]) ).
cnf(c_57676,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20184,c_3492,c_3362,c_3621]) ).
cnf(c_57677,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_57676]) ).
cnf(c_92,negated_conjecture,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1164) ).
cnf(c_653,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_92,c_653]) ).
cnf(c_874,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_92,c_653]) ).
cnf(c_1139,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_874]) ).
cnf(c_2194,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_1139]) ).
cnf(c_2451,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_2194]) ).
cnf(c_2674,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_2451]) ).
cnf(c_3318,negated_conjecture,
( ~ q(X0)
| r(X0)
| ~ r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_2674]) ).
cnf(c_3319,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(rewriting,[status(thm)],[c_3318]) ).
cnf(c_57704,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_57677,c_3319]) ).
cnf(c_57713,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_57704]) ).
cnf(c_58172,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57713,c_3610]) ).
cnf(c_58173,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58172]) ).
cnf(c_54,negated_conjecture,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1126) ).
cnf(c_707,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_54,c_707]) ).
cnf(c_906,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_54,c_707]) ).
cnf(c_1063,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_906]) ).
cnf(c_2216,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1063]) ).
cnf(c_2429,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2216]) ).
cnf(c_2697,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2429]) ).
cnf(c_3364,negated_conjecture,
( ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2697]) ).
cnf(c_3365,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3364]) ).
cnf(c_58194,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_58173,c_3365]) ).
cnf(c_58211,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58194]) ).
cnf(c_58252,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58211,c_3234]) ).
cnf(c_58253,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58252]) ).
cnf(c_64276,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58253,c_3402]) ).
cnf(c_64277,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_64276]) ).
cnf(c_128,negated_conjecture,
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1200) ).
cnf(c_140,negated_conjecture,
( r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1212) ).
cnf(c_574,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_140,c_574]) ).
cnf(c_838,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_128,c_574]) ).
cnf(c_1211,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_838]) ).
cnf(c_2163,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1211]) ).
cnf(c_2482,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2163]) ).
cnf(c_2638,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2482]) ).
cnf(c_3246,negated_conjecture,
( ~ q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2638]) ).
cnf(c_64328,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_64277,c_3246]) ).
cnf(c_64333,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_64328]) ).
cnf(c_200,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1272) ).
cnf(c_1355,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_200]) ).
cnf(c_2080,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1355]) ).
cnf(c_2565,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2080]) ).
cnf(c_2753,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2565]) ).
cnf(c_3476,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2753]) ).
cnf(c_64935,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64333,c_3492,c_3476,c_3242]) ).
cnf(c_64936,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_64935]) ).
cnf(c_64974,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_64936,c_3396]) ).
cnf(c_64975,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_64974]) ).
cnf(c_65013,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64975,c_3532]) ).
cnf(c_65014,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65013]) ).
cnf(c_34,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1106) ).
cnf(c_1023,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_34]) ).
cnf(c_2034,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_1023]) ).
cnf(c_2611,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_2034]) ).
cnf(c_2627,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_2611]) ).
cnf(c_3224,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_2627]) ).
cnf(c_6615,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_4311,c_3224]) ).
cnf(c_6618,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_6615]) ).
cnf(c_218,negated_conjecture,
( ~ q(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1290) ).
cnf(c_1391,negated_conjecture,
( ~ q(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_218]) ).
cnf(c_2098,negated_conjecture,
( ~ q(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1391]) ).
cnf(c_2547,negated_conjecture,
( ~ q(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2098]) ).
cnf(c_2778,negated_conjecture,
( ~ q(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2547]) ).
cnf(c_3526,negated_conjecture,
( ~ q(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2778]) ).
cnf(c_7223,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6618,c_3526,c_3668]) ).
cnf(c_7224,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0) ),
inference(rewriting,[status(thm)],[c_7223]) ).
cnf(c_147,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1219) ).
cnf(c_561,negated_conjecture,
( rq(X0)
| ~ rq(s(X0))
| rpq3(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_147,c_561]) ).
cnf(c_563,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_561,c_563]) ).
cnf(c_819,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_147,c_563]) ).
cnf(c_1249,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(copy,[status(esa)],[c_819]) ).
cnf(c_2159,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(copy,[status(esa)],[c_1249]) ).
cnf(c_2486,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(copy,[status(esa)],[c_2159]) ).
cnf(c_2633,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(copy,[status(esa)],[c_2486]) ).
cnf(c_3236,negated_conjecture,
( ~ rq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(copy,[status(esa)],[c_2633]) ).
cnf(c_7237,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_7224,c_3236]) ).
cnf(c_7238,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_7237]) ).
cnf(c_189,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1261) ).
cnf(c_1333,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_189]) ).
cnf(c_2069,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_1333]) ).
cnf(c_2576,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2069]) ).
cnf(c_2737,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2576]) ).
cnf(c_3444,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2737]) ).
cnf(c_233,negated_conjecture,
( p(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1305) ).
cnf(c_1421,negated_conjecture,
( p(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_233]) ).
cnf(c_2113,negated_conjecture,
( p(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_1421]) ).
cnf(c_2532,negated_conjecture,
( p(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2113]) ).
cnf(c_2800,negated_conjecture,
( p(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2532]) ).
cnf(c_3570,negated_conjecture,
( p(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2800]) ).
cnf(c_7253,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7238,c_3444,c_3570]) ).
cnf(c_7254,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_7253]) ).
cnf(c_7266,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7254,c_3232]) ).
cnf(c_7267,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_7266]) ).
cnf(c_7937,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7267,c_3236]) ).
cnf(c_7938,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_7937]) ).
cnf(c_8430,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7938,c_3404]) ).
cnf(c_8431,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8430]) ).
cnf(c_8465,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8431,c_3368]) ).
cnf(c_8466,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8465]) ).
cnf(c_238,negated_conjecture,
( rr(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1310) ).
cnf(c_1431,negated_conjecture,
( rr(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_238]) ).
cnf(c_2118,negated_conjecture,
( rr(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_1431]) ).
cnf(c_2527,negated_conjecture,
( rr(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2118]) ).
cnf(c_2807,negated_conjecture,
( rr(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2527]) ).
cnf(c_3584,negated_conjecture,
( rr(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2807]) ).
cnf(c_234,negated_conjecture,
( rr(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1306) ).
cnf(c_1423,negated_conjecture,
( rr(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_234]) ).
cnf(c_2114,negated_conjecture,
( rr(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_1423]) ).
cnf(c_2531,negated_conjecture,
( rr(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2114]) ).
cnf(c_2802,negated_conjecture,
( rr(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2531]) ).
cnf(c_3574,negated_conjecture,
( rr(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2802]) ).
cnf(c_8636,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8466,c_3584,c_3574,c_3532]) ).
cnf(c_8637,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8636]) ).
cnf(c_8658,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8637,c_3366]) ).
cnf(c_8659,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8658]) ).
cnf(c_8681,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8659,c_3668,c_3538]) ).
cnf(c_8682,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8681]) ).
cnf(c_8700,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8682,c_3207]) ).
cnf(c_8705,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8700]) ).
cnf(c_265,negated_conjecture,
( r(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1337) ).
cnf(c_1485,negated_conjecture,
( r(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_265]) ).
cnf(c_2145,negated_conjecture,
( r(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1485]) ).
cnf(c_2500,negated_conjecture,
( r(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2145]) ).
cnf(c_2853,negated_conjecture,
( r(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2500]) ).
cnf(c_3676,negated_conjecture,
( r(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2853]) ).
cnf(c_8889,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8705,c_3676,c_3221]) ).
cnf(c_8890,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_8889]) ).
cnf(c_165,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1237) ).
cnf(c_1285,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_165]) ).
cnf(c_2045,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_1285]) ).
cnf(c_2600,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2045]) ).
cnf(c_2701,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2600]) ).
cnf(c_3372,plain,
( ~ r(s(X0))
| r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2701]) ).
cnf(c_8908,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ar(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_8890,c_3372]) ).
cnf(c_8909,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ar(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_8908]) ).
cnf(c_8927,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8909,c_3532]) ).
cnf(c_8928,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_8927]) ).
cnf(c_8944,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_8928,c_3380]) ).
cnf(c_8945,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_8944]) ).
cnf(c_8962,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8945,c_3538]) ).
cnf(c_8963,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_8962]) ).
cnf(c_8973,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8963,c_3232]) ).
cnf(c_8974,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8973]) ).
cnf(c_6,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1078) ).
cnf(c_967,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_6]) ).
cnf(c_2030,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_967]) ).
cnf(c_2615,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_2030]) ).
cnf(c_2616,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_2615]) ).
cnf(c_3202,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(s(X0)) ),
inference(copy,[status(esa)],[c_2616]) ).
cnf(c_9093,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8974,c_3202]) ).
cnf(c_9098,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_9093]) ).
cnf(c_219,negated_conjecture,
( ~ p(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1291) ).
cnf(c_1393,negated_conjecture,
( ~ p(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_219]) ).
cnf(c_2099,negated_conjecture,
( ~ p(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1393]) ).
cnf(c_2546,negated_conjecture,
( ~ p(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2099]) ).
cnf(c_2780,negated_conjecture,
( ~ p(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2546]) ).
cnf(c_3530,negated_conjecture,
( ~ p(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2780]) ).
cnf(c_169,negated_conjecture,
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1241) ).
cnf(c_1293,negated_conjecture,
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_169]) ).
cnf(c_2049,negated_conjecture,
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_1293]) ).
cnf(c_2596,negated_conjecture,
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2049]) ).
cnf(c_2707,negated_conjecture,
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2596]) ).
cnf(c_3384,negated_conjecture,
( p(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(copy,[status(esa)],[c_2707]) ).
cnf(c_36,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1108) ).
cnf(c_740,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_36,c_740]) ).
cnf(c_924,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_36,c_740]) ).
cnf(c_1027,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(copy,[status(esa)],[c_924]) ).
cnf(c_2231,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(copy,[status(esa)],[c_1027]) ).
cnf(c_2414,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(copy,[status(esa)],[c_2231]) ).
cnf(c_2742,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(copy,[status(esa)],[c_2414]) ).
cnf(c_3454,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(copy,[status(esa)],[c_2742]) ).
cnf(c_3455,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3454]) ).
cnf(c_99,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1171) ).
cnf(c_113,negated_conjecture,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1185) ).
cnf(c_620,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_113,c_620]) ).
cnf(c_867,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_99,c_620]) ).
cnf(c_1153,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_867]) ).
cnf(c_2182,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_1153]) ).
cnf(c_2463,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2182]) ).
cnf(c_2662,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2463]) ).
cnf(c_3294,negated_conjecture,
( rr(X0)
| ~ p(X0)
| p(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2662]) ).
cnf(c_3295,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_3294]) ).
cnf(c_97,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1169) ).
cnf(c_111,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1183) ).
cnf(c_624,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_111,c_624]) ).
cnf(c_869,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_97,c_624]) ).
cnf(c_1149,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_869]) ).
cnf(c_2184,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_1149]) ).
cnf(c_2461,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_2184]) ).
cnf(c_2664,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_2461]) ).
cnf(c_3298,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| qq(X0) ),
inference(copy,[status(esa)],[c_2664]) ).
cnf(c_3299,plain,
( r(X0)
| qq(X0)
| p(s(X0))
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_3298]) ).
cnf(c_19,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1091) ).
cnf(c_770,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_19,c_770]) ).
cnf(c_937,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_19,c_770]) ).
cnf(c_993,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_937]) ).
cnf(c_2244,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_993]) ).
cnf(c_2401,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_2244]) ).
cnf(c_2785,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_2401]) ).
cnf(c_3540,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_2785]) ).
cnf(c_3541,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(rewriting,[status(thm)],[c_3540]) ).
cnf(c_69,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1141) ).
cnf(c_688,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_69,c_688]) ).
cnf(c_894,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_69,c_688]) ).
cnf(c_1093,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_894]) ).
cnf(c_2209,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_1093]) ).
cnf(c_2436,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_2209]) ).
cnf(c_2689,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_2436]) ).
cnf(c_3348,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_2689]) ).
cnf(c_3349,plain,
( ~ pp(X0)
| r(X0)
| p(s(X0))
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_3348]) ).
cnf(c_24611,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9098,c_3530,c_3384,c_3455,c_3295,c_3299,c_3541,c_3349,c_3365]) ).
cnf(c_24612,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24611]) ).
cnf(c_24622,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_24612,c_3408]) ).
cnf(c_24623,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24622]) ).
cnf(c_24631,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24623,c_3384]) ).
cnf(c_24632,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24631]) ).
cnf(c_24661,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_24632,c_3368]) ).
cnf(c_24662,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24661]) ).
cnf(c_24692,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24662,c_3455]) ).
cnf(c_24693,plain,
( r(X0)
| p(s(X0))
| ~ p(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24692]) ).
cnf(c_24716,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_24693,c_3607]) ).
cnf(c_24735,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24716]) ).
cnf(c_27437,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24735,c_3518,c_3536]) ).
cnf(c_27438,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_27437]) ).
cnf(c_27449,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_27438,c_3232]) ).
cnf(c_27450,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_27449]) ).
cnf(c_27598,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_27450,c_3402]) ).
cnf(c_27599,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_27598]) ).
cnf(c_27643,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_27599,c_3246]) ).
cnf(c_27648,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_27643]) ).
cnf(c_27683,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27648,c_3526,c_3242]) ).
cnf(c_27684,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_27683]) ).
cnf(c_27724,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_27684,c_3384]) ).
cnf(c_27725,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_27724]) ).
cnf(c_27765,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27725,c_3536]) ).
cnf(c_27766,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_27765]) ).
cnf(c_27792,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_27766,c_3396]) ).
cnf(c_27793,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_27792]) ).
cnf(c_27819,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27793,c_3532]) ).
cnf(c_27820,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_27819]) ).
cnf(c_27858,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_27820,c_3392]) ).
cnf(c_27859,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_27858]) ).
cnf(c_27898,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27859,c_3518,c_3532]) ).
cnf(c_27899,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_27898]) ).
cnf(c_27923,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_27899,c_3362]) ).
cnf(c_27924,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_27923]) ).
cnf(c_27949,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27924,c_3536]) ).
cnf(c_27950,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_27949]) ).
cnf(c_35,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1107) ).
cnf(c_1025,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_2035,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_1025]) ).
cnf(c_2610,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_2035]) ).
cnf(c_2629,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_2610]) ).
cnf(c_3228,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ pr(s(X0)) ),
inference(copy,[status(esa)],[c_2629]) ).
cnf(c_27958,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_27950,c_3228]) ).
cnf(c_27961,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_27958]) ).
cnf(c_68,negated_conjecture,
( r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1140) ).
cnf(c_94,negated_conjecture,
( r(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1166) ).
cnf(c_649,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_94,c_649]) ).
cnf(c_895,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_68,c_649]) ).
cnf(c_1091,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(copy,[status(esa)],[c_895]) ).
cnf(c_2192,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(copy,[status(esa)],[c_1091]) ).
cnf(c_2453,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(copy,[status(esa)],[c_2192]) ).
cnf(c_2672,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(copy,[status(esa)],[c_2453]) ).
cnf(c_3314,negated_conjecture,
( rr(X0)
| ~ p(X0)
| q(X0)
| ~ q(s(X0)) ),
inference(copy,[status(esa)],[c_2672]) ).
cnf(c_3315,plain,
( ~ q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_3314]) ).
cnf(c_51,negated_conjecture,
( r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1123) ).
cnf(c_712,negated_conjecture,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_51,c_712]) ).
cnf(c_909,negated_conjecture,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_51,c_712]) ).
cnf(c_1057,negated_conjecture,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_909]) ).
cnf(c_2218,negated_conjecture,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_1057]) ).
cnf(c_2427,negated_conjecture,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2218]) ).
cnf(c_2703,negated_conjecture,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2427]) ).
cnf(c_3376,plain,
( ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2703]) ).
cnf(c_24,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1096) ).
cnf(c_760,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_24,c_760]) ).
cnf(c_933,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_24,c_760]) ).
cnf(c_1003,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_933]) ).
cnf(c_2240,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_1003]) ).
cnf(c_2405,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2240]) ).
cnf(c_2771,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2405]) ).
cnf(c_3512,negated_conjecture,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2771]) ).
cnf(c_3513,plain,
( ~ r(X0)
| ~ q(s(X0))
| q(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3512]) ).
cnf(c_26,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1098) ).
cnf(c_754,negated_conjecture,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_26,c_754]) ).
cnf(c_931,negated_conjecture,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_26,c_754]) ).
cnf(c_1007,negated_conjecture,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_931]) ).
cnf(c_2238,negated_conjecture,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_1007]) ).
cnf(c_2407,negated_conjecture,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2238]) ).
cnf(c_2763,negated_conjecture,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2407]) ).
cnf(c_3496,plain,
( ~ pp(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2763]) ).
cnf(c_32631,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27961,c_3378,c_3404,c_3315,c_3376,c_3513,c_3496]) ).
cnf(c_32632,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_32631]) ).
cnf(c_32669,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_32632,c_3384]) ).
cnf(c_32670,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_32669]) ).
cnf(c_86,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1158) ).
cnf(c_663,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_86,c_663]) ).
cnf(c_879,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_86,c_663]) ).
cnf(c_1127,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_879]) ).
cnf(c_2199,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1127]) ).
cnf(c_2446,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2199]) ).
cnf(c_2679,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2446]) ).
cnf(c_3328,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2679]) ).
cnf(c_32724,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_32670,c_3328]) ).
cnf(c_32739,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_32724]) ).
cnf(c_50,negated_conjecture,
( r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1122) ).
cnf(c_714,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_50,c_714]) ).
cnf(c_910,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_50,c_714]) ).
cnf(c_1055,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_910]) ).
cnf(c_2219,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1055]) ).
cnf(c_2426,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2219]) ).
cnf(c_2706,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2426]) ).
cnf(c_3382,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2706]) ).
cnf(c_130,negated_conjecture,
( ~ r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1202) ).
cnf(c_142,negated_conjecture,
( ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1214) ).
cnf(c_570,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_142,c_570]) ).
cnf(c_836,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_130,c_570]) ).
cnf(c_1215,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_836]) ).
cnf(c_2161,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1215]) ).
cnf(c_2484,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2161]) ).
cnf(c_2635,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2484]) ).
cnf(c_3240,negated_conjecture,
( ~ qq(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2635]) ).
cnf(c_3241,plain,
( ~ r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3240]) ).
cnf(c_32761,plain,
( ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32739,c_3538,c_3382,c_3241,c_3522,c_3362]) ).
cnf(c_32762,plain,
( ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_32761]) ).
cnf(c_85,negated_conjecture,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1157) ).
cnf(c_665,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_85,c_665]) ).
cnf(c_880,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_85,c_665]) ).
cnf(c_1125,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_880]) ).
cnf(c_2200,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1125]) ).
cnf(c_2445,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2200]) ).
cnf(c_2680,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2445]) ).
cnf(c_3330,negated_conjecture,
( ~ p(X0)
| pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2680]) ).
cnf(c_3331,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3330]) ).
cnf(c_32797,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_32762,c_3331]) ).
cnf(c_32806,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_32797]) ).
cnf(c_32966,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_32806,c_3408]) ).
cnf(c_32967,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_32966]) ).
cnf(c_33140,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_32967,c_3386]) ).
cnf(c_33141,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_33140]) ).
cnf(c_33193,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33141,c_3536]) ).
cnf(c_33194,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_33193]) ).
cnf(c_156,negated_conjecture,
( r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1228) ).
cnf(c_159,negated_conjecture,
( r(X0)
| q(X0)
| p(s(X0))
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1231) ).
cnf(c_530,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_159,c_530]) ).
cnf(c_810,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_156,c_530]) ).
cnf(c_1267,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_810]) ).
cnf(c_2150,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1267]) ).
cnf(c_2495,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2150]) ).
cnf(c_2620,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2495]) ).
cnf(c_3210,negated_conjecture,
( p(s(X0))
| q(X0)
| r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2620]) ).
cnf(c_3211,plain,
( r(X0)
| q(X0)
| p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3210]) ).
cnf(c_33231,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_33194,c_3211]) ).
cnf(c_33234,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_33231]) ).
cnf(c_71,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1143) ).
cnf(c_101,negated_conjecture,
( pp(X0)
| r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1173) ).
cnf(c_639,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_101,c_639]) ).
cnf(c_892,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_71,c_639]) ).
cnf(c_1097,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(copy,[status(esa)],[c_892]) ).
cnf(c_2189,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(copy,[status(esa)],[c_1097]) ).
cnf(c_2456,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(copy,[status(esa)],[c_2189]) ).
cnf(c_2669,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(copy,[status(esa)],[c_2456]) ).
cnf(c_3308,negated_conjecture,
( ~ rr(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(copy,[status(esa)],[c_2669]) ).
cnf(c_3309,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3308]) ).
cnf(c_144,negated_conjecture,
( ~ pp(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1216) ).
cnf(c_150,negated_conjecture,
( ~ pp(s(X0))
| r(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1222) ).
cnf(c_551,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_150,c_551]) ).
cnf(c_822,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_144,c_551]) ).
cnf(c_1243,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_822]) ).
cnf(c_2156,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1243]) ).
cnf(c_2489,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2156]) ).
cnf(c_2630,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2489]) ).
cnf(c_3230,negated_conjecture,
( q(X0)
| r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2630]) ).
cnf(c_3231,plain,
( ~ pp(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3230]) ).
cnf(c_34893,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33234,c_3309,c_3231]) ).
cnf(c_34894,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_34893]) ).
cnf(c_34919,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_34894,c_3378]) ).
cnf(c_34920,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_34919]) ).
cnf(c_34945,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34920,c_3538]) ).
cnf(c_34946,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_34945]) ).
cnf(c_34969,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_34946,c_3374]) ).
cnf(c_34970,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_34969]) ).
cnf(c_34994,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34970,c_3538]) ).
cnf(c_34995,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_34994]) ).
cnf(c_35021,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_34995,c_3372]) ).
cnf(c_35022,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_35021]) ).
cnf(c_35049,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35022,c_3536]) ).
cnf(c_35050,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_35049]) ).
cnf(c_35071,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_35050,c_3402]) ).
cnf(c_35072,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35071]) ).
cnf(c_114,negated_conjecture,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1186) ).
cnf(c_618,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_114,c_618]) ).
cnf(c_852,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_114,c_618]) ).
cnf(c_1183,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_852]) ).
cnf(c_2181,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1183]) ).
cnf(c_2464,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2181]) ).
cnf(c_2661,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2464]) ).
cnf(c_3292,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2661]) ).
cnf(c_3293,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3292]) ).
cnf(c_35233,plain,
( r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_35072,c_3293]) ).
cnf(c_35246,plain,
( r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35233]) ).
cnf(c_93,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1165) ).
cnf(c_651,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_93,c_651]) ).
cnf(c_873,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_93,c_651]) ).
cnf(c_1141,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_873]) ).
cnf(c_2193,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_1141]) ).
cnf(c_2452,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2193]) ).
cnf(c_2673,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2452]) ).
cnf(c_3316,negated_conjecture,
( qq(X0)
| r(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2673]) ).
cnf(c_3317,plain,
( ~ r(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_3316]) ).
cnf(c_41323,plain,
( r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35246,c_3317]) ).
cnf(c_41324,plain,
( r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_41323]) ).
cnf(c_41352,plain,
( r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_41324,c_3378]) ).
cnf(c_41353,plain,
( r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_41352]) ).
cnf(c_41381,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41353,c_3532,c_3374]) ).
cnf(c_41382,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_41381]) ).
cnf(c_41410,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41382,c_3404]) ).
cnf(c_41411,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41410]) ).
cnf(c_41790,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41411,c_3384]) ).
cnf(c_41791,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41790]) ).
cnf(c_41944,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41791,c_3538]) ).
cnf(c_41945,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41944]) ).
cnf(c_41971,plain,
( r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41945,c_3376]) ).
cnf(c_41976,plain,
( r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41971]) ).
cnf(c_42391,plain,
( r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41976,c_3392]) ).
cnf(c_42392,plain,
( r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_42391]) ).
cnf(c_42404,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_42392,c_32762]) ).
cnf(c_42435,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42404]) ).
cnf(c_27959,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_27950,c_3232]) ).
cnf(c_27960,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_27959]) ).
cnf(c_28009,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_27960,c_3404]) ).
cnf(c_28010,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_28009]) ).
cnf(c_28071,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_28010,c_3384]) ).
cnf(c_28072,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_28071]) ).
cnf(c_28112,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28072,c_3530,c_3538]) ).
cnf(c_28113,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_28112]) ).
cnf(c_28131,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_28113,c_3328]) ).
cnf(c_28146,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_28131]) ).
cnf(c_213,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1285) ).
cnf(c_1381,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_213]) ).
cnf(c_2093,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1381]) ).
cnf(c_2552,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2093]) ).
cnf(c_2772,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2552]) ).
cnf(c_3514,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2772]) ).
cnf(c_28247,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28146,c_3514,c_3374,c_3241,c_3522]) ).
cnf(c_28248,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_28247]) ).
cnf(c_28281,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_28248,c_3331]) ).
cnf(c_28290,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_28281]) ).
cnf(c_28430,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_28290,c_3362]) ).
cnf(c_28431,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_28430]) ).
cnf(c_28509,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28431,c_3538]) ).
cnf(c_28510,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_28509]) ).
cnf(c_28522,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_28510,c_3232]) ).
cnf(c_28523,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_28522]) ).
cnf(c_28601,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_28523,c_3408]) ).
cnf(c_28602,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_28601]) ).
cnf(c_28661,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_28602,c_3386]) ).
cnf(c_28662,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_28661]) ).
cnf(c_216,negated_conjecture,
( ~ rr(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1288) ).
cnf(c_1387,negated_conjecture,
( ~ rr(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_216]) ).
cnf(c_2096,negated_conjecture,
( ~ rr(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1387]) ).
cnf(c_2549,negated_conjecture,
( ~ rr(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2096]) ).
cnf(c_2775,negated_conjecture,
( ~ rr(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2549]) ).
cnf(c_3520,negated_conjecture,
( ~ rr(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2775]) ).
cnf(c_28713,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28662,c_3520,c_3514,c_3536]) ).
cnf(c_28714,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_28713]) ).
cnf(c_28751,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_28714,c_3211]) ).
cnf(c_28754,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_28751]) ).
cnf(c_29381,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28754,c_3309,c_3231]) ).
cnf(c_29382,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_29381]) ).
cnf(c_29404,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_29382,c_3374]) ).
cnf(c_29405,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_29404]) ).
cnf(c_29428,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29405,c_3538]) ).
cnf(c_29429,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_29428]) ).
cnf(c_29456,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_29429,c_3372]) ).
cnf(c_29457,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_29456]) ).
cnf(c_29485,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29457,c_3536]) ).
cnf(c_29486,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_29485]) ).
cnf(c_174,negated_conjecture,
( ~ rq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1246) ).
cnf(c_1303,negated_conjecture,
( ~ rq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(copy,[status(esa)],[c_174]) ).
cnf(c_2054,negated_conjecture,
( ~ rq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(copy,[status(esa)],[c_1303]) ).
cnf(c_2591,negated_conjecture,
( ~ rq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(copy,[status(esa)],[c_2054]) ).
cnf(c_2714,negated_conjecture,
( ~ rq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(copy,[status(esa)],[c_2591]) ).
cnf(c_3398,plain,
( ~ rq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(copy,[status(esa)],[c_2714]) ).
cnf(c_29506,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_29486,c_3398]) ).
cnf(c_29507,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_29506]) ).
cnf(c_10064,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10054,c_3232]) ).
cnf(c_10065,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10064]) ).
cnf(c_10177,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10065,c_3234]) ).
cnf(c_10178,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10177]) ).
cnf(c_10255,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10178,c_3404]) ).
cnf(c_10256,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10255]) ).
cnf(c_10290,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10256,c_3366]) ).
cnf(c_10291,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10290]) ).
cnf(c_10378,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10291,c_3668,c_3622,c_3538]) ).
cnf(c_10379,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10378]) ).
cnf(c_10395,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10379,c_3534]) ).
cnf(c_10404,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10395]) ).
cnf(c_10423,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10404,c_3520,c_3614,c_3374,c_3221,c_3522]) ).
cnf(c_10424,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10423]) ).
cnf(c_10438,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_10424,c_3359]) ).
cnf(c_10451,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10438]) ).
cnf(c_10692,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_10451,c_3362]) ).
cnf(c_10693,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10692]) ).
cnf(c_10754,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10693,c_3538]) ).
cnf(c_10755,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10754]) ).
cnf(c_10766,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10755,c_3232]) ).
cnf(c_10767,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10766]) ).
cnf(c_10807,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10767,c_3234]) ).
cnf(c_10808,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10807]) ).
cnf(c_10846,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10808,c_3408]) ).
cnf(c_10847,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10846]) ).
cnf(c_10887,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10847,c_3386]) ).
cnf(c_10888,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10887]) ).
cnf(c_10917,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10888,c_3520,c_3514,c_3486,c_3480,c_3536]) ).
cnf(c_10918,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10917]) ).
cnf(c_127,negated_conjecture,
( ~ r(X0)
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1199) ).
cnf(c_139,negated_conjecture,
( ~ r(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1211) ).
cnf(c_576,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_139,c_576]) ).
cnf(c_839,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_127,c_576]) ).
cnf(c_1209,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_839]) ).
cnf(c_2164,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1209]) ).
cnf(c_2481,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2164]) ).
cnf(c_2640,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2481]) ).
cnf(c_3250,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2640]) ).
cnf(c_3251,plain,
( ~ r(X0)
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3250]) ).
cnf(c_10930,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_10918,c_3251]) ).
cnf(c_10945,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_10930]) ).
cnf(c_47,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1119) ).
cnf(c_66,negated_conjecture,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1138) ).
cnf(c_693,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_66,c_693]) ).
cnf(c_913,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_47,c_693]) ).
cnf(c_1049,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(copy,[status(esa)],[c_913]) ).
cnf(c_2211,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(copy,[status(esa)],[c_1049]) ).
cnf(c_2434,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2211]) ).
cnf(c_2691,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2434]) ).
cnf(c_3352,negated_conjecture,
( ~ rr(X0)
| ~ r(s(X0))
| r(X0)
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2691]) ).
cnf(c_3353,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3352]) ).
cnf(c_126,negated_conjecture,
( ~ pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1198) ).
cnf(c_138,negated_conjecture,
( ~ pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1210) ).
cnf(c_578,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_138,c_578]) ).
cnf(c_840,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_126,c_578]) ).
cnf(c_1207,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_840]) ).
cnf(c_2165,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1207]) ).
cnf(c_2480,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2165]) ).
cnf(c_2641,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2480]) ).
cnf(c_3252,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ pp(s(X0))
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2641]) ).
cnf(c_3253,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3252]) ).
cnf(c_11904,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10945,c_3353,c_3253]) ).
cnf(c_11905,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11904]) ).
cnf(c_11922,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_11905,c_3374]) ).
cnf(c_11923,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11922]) ).
cnf(c_11941,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11923,c_3538]) ).
cnf(c_11942,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11941]) ).
cnf(c_171,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1243) ).
cnf(c_1297,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_171]) ).
cnf(c_2051,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_1297]) ).
cnf(c_2594,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2051]) ).
cnf(c_2710,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2594]) ).
cnf(c_3390,plain,
( r(s(X0))
| ~ r(X0)
| ar(X0) ),
inference(copy,[status(esa)],[c_2710]) ).
cnf(c_11961,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_11942,c_3390]) ).
cnf(c_11962,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11961]) ).
cnf(c_11982,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11962,c_3536]) ).
cnf(c_11983,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11982]) ).
cnf(c_11993,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_11983,c_3232]) ).
cnf(c_11994,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_11993]) ).
cnf(c_12032,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_11994,c_3234]) ).
cnf(c_12033,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12032]) ).
cnf(c_12067,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_12033,c_3402]) ).
cnf(c_12068,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12067]) ).
cnf(c_12104,plain,
( ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_12068,c_3282]) ).
cnf(c_12111,plain,
( ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12104]) ).
cnf(c_12274,plain,
( ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12111,c_3526,c_3492,c_3614,c_3242,c_3275]) ).
cnf(c_12275,plain,
( ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_12274]) ).
cnf(c_12294,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_12275,c_3374]) ).
cnf(c_12295,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_12294]) ).
cnf(c_12314,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12295,c_3532]) ).
cnf(c_12315,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_12314]) ).
cnf(c_12326,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_12315,c_3335]) ).
cnf(c_12345,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_12326]) ).
cnf(c_12618,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12345,c_3668]) ).
cnf(c_12619,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_12618]) ).
cnf(c_12630,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_12619,c_3232]) ).
cnf(c_12631,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12630]) ).
cnf(c_12770,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_12631,c_3234]) ).
cnf(c_12771,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12770]) ).
cnf(c_12891,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_12771,c_3404]) ).
cnf(c_12892,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12891]) ).
cnf(c_12932,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_12892,c_3368]) ).
cnf(c_12933,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12932]) ).
cnf(c_13060,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12933,c_3532]) ).
cnf(c_13061,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13060]) ).
cnf(c_13085,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13061,c_3366]) ).
cnf(c_13086,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13085]) ).
cnf(c_13111,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13086,c_3668,c_3622,c_3538]) ).
cnf(c_13112,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13111]) ).
cnf(c_13132,plain,
( ~ pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13112,c_3207]) ).
cnf(c_13137,plain,
( ~ pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13132]) ).
cnf(c_13283,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13137,c_3676,c_3610,c_3221]) ).
cnf(c_13284,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_13283]) ).
cnf(c_13303,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_13284,c_3380]) ).
cnf(c_13304,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_13303]) ).
cnf(c_13357,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13304,c_3538]) ).
cnf(c_13358,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_13357]) ).
cnf(c_13368,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13358,c_3232]) ).
cnf(c_13369,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13368]) ).
cnf(c_13445,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13369,c_3234]) ).
cnf(c_13446,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13445]) ).
cnf(c_13554,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13446,c_3408]) ).
cnf(c_13555,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13554]) ).
cnf(c_13591,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13555,c_3368]) ).
cnf(c_13592,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13591]) ).
cnf(c_13618,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13592,c_3536]) ).
cnf(c_13619,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13618]) ).
cnf(c_10,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1082) ).
cnf(c_789,negated_conjecture,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_10,c_789]) ).
cnf(c_945,negated_conjecture,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_10,c_789]) ).
cnf(c_975,negated_conjecture,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_945]) ).
cnf(c_2252,negated_conjecture,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_975]) ).
cnf(c_2393,negated_conjecture,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2252]) ).
cnf(c_2812,negated_conjecture,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2393]) ).
cnf(c_3594,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(copy,[status(esa)],[c_2812]) ).
cnf(c_13640,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_13619,c_3594]) ).
cnf(c_13645,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_13640]) ).
cnf(c_13956,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13645,c_3526,c_3518,c_3492,c_3621]) ).
cnf(c_13957,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_13956]) ).
cnf(c_13981,plain,
( ~ pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_13957,c_3372]) ).
cnf(c_13982,plain,
( ~ pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_13981]) ).
cnf(c_14007,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13982,c_3536,c_3253]) ).
cnf(c_14008,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_14007]) ).
cnf(c_108,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1180) ).
cnf(c_133,negated_conjecture,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1205) ).
cnf(c_588,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_133,c_588]) ).
cnf(c_858,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_108,c_588]) ).
cnf(c_1171,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_858]) ).
cnf(c_2170,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1171]) ).
cnf(c_2475,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2170]) ).
cnf(c_2647,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2475]) ).
cnf(c_3264,negated_conjecture,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2647]) ).
cnf(c_14026,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_14008,c_3264]) ).
cnf(c_14029,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_14026]) ).
cnf(c_14048,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14029,c_3610]) ).
cnf(c_14049,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14048]) ).
cnf(c_6652,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_6617,c_3202]) ).
cnf(c_6657,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_6652]) ).
cnf(c_7805,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6657,c_3680,c_3518,c_3492,c_3476]) ).
cnf(c_7806,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_7805]) ).
cnf(c_14054,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14049,c_7806]) ).
cnf(c_14059,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14054]) ).
cnf(c_14386,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14059,c_3232]) ).
cnf(c_14387,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14386]) ).
cnf(c_14470,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14387,c_3234]) ).
cnf(c_14471,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14470]) ).
cnf(c_14507,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14471,c_3402]) ).
cnf(c_14508,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14507]) ).
cnf(c_14544,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14508,c_3246]) ).
cnf(c_14549,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14544]) ).
cnf(c_14574,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14549,c_3526,c_3492,c_3476,c_3242]) ).
cnf(c_14575,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_14574]) ).
cnf(c_14596,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_14575,c_3396]) ).
cnf(c_14597,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_14596]) ).
cnf(c_14618,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14597,c_3532]) ).
cnf(c_14619,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_14618]) ).
cnf(c_14649,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_14619,c_3392]) ).
cnf(c_14650,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_14649]) ).
cnf(c_14681,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14650,c_3518,c_3532]) ).
cnf(c_14682,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14681]) ).
cnf(c_14703,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_14682,c_3362]) ).
cnf(c_14704,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14703]) ).
cnf(c_14726,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14704,c_3536]) ).
cnf(c_14727,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14726]) ).
cnf(c_14736,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| qp(s(X0)) ),
inference(resolution,[status(thm)],[c_14727,c_3228]) ).
cnf(c_14739,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_14736]) ).
cnf(c_18996,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| qp(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14739,c_3378,c_3404,c_3315,c_3376,c_3513,c_3496]) ).
cnf(c_18997,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_18996]) ).
cnf(c_19012,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_18997,c_3234]) ).
cnf(c_19013,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19012]) ).
cnf(c_19034,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19013,c_3476]) ).
cnf(c_19035,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19034]) ).
cnf(c_19064,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19035,c_3299]) ).
cnf(c_19075,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19064]) ).
cnf(c_19288,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19075,c_3376]) ).
cnf(c_19289,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19288]) ).
cnf(c_19307,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_19289,c_3328]) ).
cnf(c_19322,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_19307]) ).
cnf(c_19639,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19322,c_3486,c_3382,c_3241,c_3522]) ).
cnf(c_19640,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19639]) ).
cnf(c_19668,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_19640,c_3331]) ).
cnf(c_19677,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_19668]) ).
cnf(c_20006,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_19677,c_3362]) ).
cnf(c_20007,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_20006]) ).
cnf(c_20031,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20007,c_3538]) ).
cnf(c_20032,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_20031]) ).
cnf(c_20048,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20032,c_3234]) ).
cnf(c_20049,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20048]) ).
cnf(c_20845,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20049,c_3408]) ).
cnf(c_20846,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20845]) ).
cnf(c_20899,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20846,c_3386]) ).
cnf(c_20900,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20899]) ).
cnf(c_20944,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20900,c_3486,c_3480,c_3536]) ).
cnf(c_20945,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_20944]) ).
cnf(c_20981,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_20945,c_3211]) ).
cnf(c_20984,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_20981]) ).
cnf(c_23570,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20984,c_3309,c_3231]) ).
cnf(c_23571,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23570]) ).
cnf(c_23595,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_23571,c_3378]) ).
cnf(c_23596,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23595]) ).
cnf(c_23620,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23596,c_3538]) ).
cnf(c_23621,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23620]) ).
cnf(c_23642,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_23621,c_3374]) ).
cnf(c_23643,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23642]) ).
cnf(c_23665,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23643,c_3538]) ).
cnf(c_23666,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23665]) ).
cnf(c_23689,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_23666,c_3372]) ).
cnf(c_23690,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23689]) ).
cnf(c_23714,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23690,c_3536]) ).
cnf(c_23715,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_23714]) ).
cnf(c_30191,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29507,c_23715]) ).
cnf(c_30192,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_30191]) ).
cnf(c_153,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0)
| rpq2(X0)
| rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1225) ).
cnf(c_237,negated_conjecture,
( q(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1309) ).
cnf(c_236,negated_conjecture,
( ap(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1308) ).
cnf(c_191,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1263) ).
cnf(c_190,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1262) ).
cnf(c_188,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1260) ).
cnf(c_77,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1149) ).
cnf(c_543,negated_conjecture,
( rpq3(X0)
| rpq4(X0)
| ~ rq(X0)
| rq(s(X0))
| rpq1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_153,c_238,c_237,c_236,c_191,c_190,c_189,c_188,c_77,c_543]) ).
cnf(c_545,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_543,c_545]) ).
cnf(c_813,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_153,c_545]) ).
cnf(c_1261,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(copy,[status(esa)],[c_813]) ).
cnf(c_2153,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(copy,[status(esa)],[c_1261]) ).
cnf(c_2492,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(copy,[status(esa)],[c_2153]) ).
cnf(c_2624,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(copy,[status(esa)],[c_2492]) ).
cnf(c_3218,negated_conjecture,
( rq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(copy,[status(esa)],[c_2624]) ).
cnf(c_30211,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_30192,c_3218]) ).
cnf(c_30212,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30211]) ).
cnf(c_30280,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_30212,c_3402]) ).
cnf(c_30281,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30280]) ).
cnf(c_83,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1155) ).
cnf(c_116,negated_conjecture,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1188) ).
cnf(c_614,negated_conjecture,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_116,c_614]) ).
cnf(c_882,negated_conjecture,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_83,c_614]) ).
cnf(c_1121,negated_conjecture,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_882]) ).
cnf(c_2179,negated_conjecture,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1121]) ).
cnf(c_2466,negated_conjecture,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2179]) ).
cnf(c_2659,negated_conjecture,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2466]) ).
cnf(c_3288,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2659]) ).
cnf(c_30335,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_30281,c_3288]) ).
cnf(c_30344,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30335]) ).
cnf(c_227,negated_conjecture,
( q(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1299) ).
cnf(c_1409,negated_conjecture,
( q(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_227]) ).
cnf(c_2107,negated_conjecture,
( q(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1409]) ).
cnf(c_2538,negated_conjecture,
( q(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2107]) ).
cnf(c_2791,negated_conjecture,
( q(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2538]) ).
cnf(c_3552,negated_conjecture,
( q(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2791]) ).
cnf(c_30392,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30344,c_3552,c_3208,c_3315]) ).
cnf(c_30393,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30392]) ).
cnf(c_30418,plain,
( pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_30393,c_3374]) ).
cnf(c_30419,plain,
( pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30418]) ).
cnf(c_84,negated_conjecture,
( pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1156) ).
cnf(c_667,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_84,c_667]) ).
cnf(c_881,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_84,c_667]) ).
cnf(c_1123,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_881]) ).
cnf(c_2201,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1123]) ).
cnf(c_2444,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2201]) ).
cnf(c_2681,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2444]) ).
cnf(c_3332,negated_conjecture,
( q(X0)
| ~ qq(X0)
| pp(X0)
| r(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2681]) ).
cnf(c_3333,plain,
( pp(X0)
| r(s(X0))
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3332]) ).
cnf(c_30445,plain,
( pp(X0)
| r(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30419,c_3532,c_3333]) ).
cnf(c_30446,plain,
( pp(X0)
| r(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30445]) ).
cnf(c_30471,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_30446,c_3317]) ).
cnf(c_30478,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_30471]) ).
cnf(c_183,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1255) ).
cnf(c_1321,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_183]) ).
cnf(c_2063,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1321]) ).
cnf(c_2582,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2063]) ).
cnf(c_2728,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2582]) ).
cnf(c_3426,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2728]) ).
cnf(c_31088,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30478,c_3426]) ).
cnf(c_31089,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_31088]) ).
cnf(c_155,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0)
| pqr2(X0)
| pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1227) ).
cnf(c_264,negated_conjecture,
( aq(X0)
| ~ pqr1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1336) ).
cnf(c_87,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1159) ).
cnf(c_535,negated_conjecture,
( pqr3(X0)
| pqr4(X0)
| ~ pr(X0)
| pr(s(X0))
| pqr1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_155,c_266,c_265,c_264,c_219,c_218,c_217,c_216,c_87,c_535]) ).
cnf(c_537,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_535,c_537]) ).
cnf(c_811,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_155,c_537]) ).
cnf(c_1265,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(copy,[status(esa)],[c_811]) ).
cnf(c_2151,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(copy,[status(esa)],[c_1265]) ).
cnf(c_2494,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(copy,[status(esa)],[c_2151]) ).
cnf(c_2622,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(copy,[status(esa)],[c_2494]) ).
cnf(c_3214,negated_conjecture,
( pr(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(copy,[status(esa)],[c_2622]) ).
cnf(c_4282,plain,
( ~ rq(s(X0))
| ~ qp(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_3214,c_3398]) ).
cnf(c_4283,plain,
( ~ rq(s(X0))
| ~ qp(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_4282]) ).
cnf(c_82,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1154) ).
cnf(c_1119,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_82]) ).
cnf(c_2040,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_1119]) ).
cnf(c_2605,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_2040]) ).
cnf(c_2654,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_2605]) ).
cnf(c_3278,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_2654]) ).
cnf(c_6632,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_4283,c_3278]) ).
cnf(c_6635,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_6632]) ).
cnf(c_258,negated_conjecture,
( rr(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1330) ).
cnf(c_1471,negated_conjecture,
( rr(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_258]) ).
cnf(c_2138,negated_conjecture,
( rr(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1471]) ).
cnf(c_2507,negated_conjecture,
( rr(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2138]) ).
cnf(c_2839,negated_conjecture,
( rr(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2507]) ).
cnf(c_3648,negated_conjecture,
( rr(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2839]) ).
cnf(c_208,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1280) ).
cnf(c_1371,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_208]) ).
cnf(c_2088,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1371]) ).
cnf(c_2557,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2088]) ).
cnf(c_2765,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2557]) ).
cnf(c_3500,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2765]) ).
cnf(c_7471,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6635,c_3648,c_3500]) ).
cnf(c_7472,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_7471]) ).
cnf(c_7489,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_7472,c_3218]) ).
cnf(c_7490,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_7489]) ).
cnf(c_7509,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7490,c_3426,c_3552]) ).
cnf(c_7510,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_7509]) ).
cnf(c_31093,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_31089,c_7510]) ).
cnf(c_31099,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_31093]) ).
cnf(c_31142,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_31099,c_3214]) ).
cnf(c_31143,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_31142]) ).
cnf(c_31800,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_31143,c_3218]) ).
cnf(c_31801,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_31800]) ).
cnf(c_31896,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_31801,c_3404]) ).
cnf(c_31897,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_31896]) ).
cnf(c_31966,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_31897,c_3368]) ).
cnf(c_31967,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_31966]) ).
cnf(c_254,negated_conjecture,
( rr(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1326) ).
cnf(c_1463,negated_conjecture,
( rr(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_254]) ).
cnf(c_2134,negated_conjecture,
( rr(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1463]) ).
cnf(c_2511,negated_conjecture,
( rr(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2134]) ).
cnf(c_2831,negated_conjecture,
( rr(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2511]) ).
cnf(c_3632,negated_conjecture,
( rr(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2831]) ).
cnf(c_32010,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31967,c_3648,c_3632,c_3532]) ).
cnf(c_32011,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_32010]) ).
cnf(c_37,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1109) ).
cnf(c_738,negated_conjecture,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_37,c_738]) ).
cnf(c_923,negated_conjecture,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_37,c_738]) ).
cnf(c_1029,negated_conjecture,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_923]) ).
cnf(c_2230,negated_conjecture,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_1029]) ).
cnf(c_2415,negated_conjecture,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2230]) ).
cnf(c_2739,negated_conjecture,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2415]) ).
cnf(c_3448,plain,
( ~ qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2739]) ).
cnf(c_32049,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_32011,c_3448]) ).
cnf(c_32056,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_32049]) ).
cnf(c_32402,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32056,c_3426,c_3552,c_3315]) ).
cnf(c_32403,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_32402]) ).
cnf(c_42503,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_42435,c_32403]) ).
cnf(c_42505,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_42503]) ).
cnf(c_46371,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_42505,c_3372]) ).
cnf(c_46372,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_46371]) ).
cnf(c_46686,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46372,c_3532]) ).
cnf(c_46687,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_46686]) ).
cnf(c_46716,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_46687,c_3362]) ).
cnf(c_46717,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_46716]) ).
cnf(c_46747,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46717,c_3538]) ).
cnf(c_46748,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_46747]) ).
cnf(c_46759,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_46748,c_3214]) ).
cnf(c_46760,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_46759]) ).
cnf(c_47142,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_46760,c_3218]) ).
cnf(c_47143,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47142]) ).
cnf(c_47386,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47143,c_3408]) ).
cnf(c_47387,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47386]) ).
cnf(c_47445,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47387,c_3448]) ).
cnf(c_47452,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47445]) ).
cnf(c_210,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1282) ).
cnf(c_1375,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_210]) ).
cnf(c_2090,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1375]) ).
cnf(c_2555,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2090]) ).
cnf(c_2767,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2555]) ).
cnf(c_3504,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2767]) ).
cnf(c_47613,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47452,c_3504,c_3500,c_3426,c_3552,c_3376,c_42392]) ).
cnf(c_47614,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_47613]) ).
cnf(c_47645,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_47614,c_3372]) ).
cnf(c_47646,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_47645]) ).
cnf(c_47678,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47646,c_3536,c_3231]) ).
cnf(c_47679,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_47678]) ).
cnf(c_47689,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47679,c_3214]) ).
cnf(c_47690,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47689]) ).
cnf(c_47754,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47690,c_3218]) ).
cnf(c_47755,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47754]) ).
cnf(c_47790,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47755,c_3402]) ).
cnf(c_47791,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47790]) ).
cnf(c_47851,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47791,c_3384]) ).
cnf(c_47852,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47851]) ).
cnf(c_47901,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47852,c_3500,c_3426,c_3536]) ).
cnf(c_47902,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47901]) ).
cnf(c_47933,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47902,c_3378]) ).
cnf(c_47934,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47933]) ).
cnf(c_47966,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47934,c_3552,c_3532,c_3208]) ).
cnf(c_47967,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47966]) ).
cnf(c_48013,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47967,c_3392]) ).
cnf(c_48014,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_48013]) ).
cnf(c_48061,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48014,c_3504,c_3532]) ).
cnf(c_48062,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48061]) ).
cnf(c_17,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1089) ).
cnf(c_776,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_17,c_776]) ).
cnf(c_939,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_17,c_776]) ).
cnf(c_989,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_939]) ).
cnf(c_2246,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_989]) ).
cnf(c_2399,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2246]) ).
cnf(c_2793,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2399]) ).
cnf(c_3556,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2793]) ).
cnf(c_48090,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_48062,c_3556]) ).
cnf(c_48093,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48090]) ).
cnf(c_48183,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48093,c_41382]) ).
cnf(c_48184,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48183]) ).
cnf(c_61,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1133) ).
cnf(c_1077,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_2038,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_1077]) ).
cnf(c_2607,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_2038]) ).
cnf(c_2642,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_2607]) ).
cnf(c_3254,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_2642]) ).
cnf(c_48196,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(resolution,[status(thm)],[c_48184,c_3254]) ).
cnf(c_48201,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_48196]) ).
cnf(c_74,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1146) ).
cnf(c_107,negated_conjecture,
( pp(X0)
| r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1179) ).
cnf(c_630,negated_conjecture,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_107,c_630]) ).
cnf(c_889,negated_conjecture,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_74,c_630]) ).
cnf(c_1103,negated_conjecture,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_889]) ).
cnf(c_2186,negated_conjecture,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_1103]) ).
cnf(c_2459,negated_conjecture,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2186]) ).
cnf(c_2666,negated_conjecture,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2459]) ).
cnf(c_3302,plain,
( r(X0)
| ~ qq(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2666]) ).
cnf(c_125,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1197) ).
cnf(c_598,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_125,c_598]) ).
cnf(c_841,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_125,c_598]) ).
cnf(c_1205,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_841]) ).
cnf(c_2172,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_1205]) ).
cnf(c_2473,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2172]) ).
cnf(c_2649,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2473]) ).
cnf(c_3268,negated_conjecture,
( r(X0)
| pp(X0)
| q(s(X0))
| ~ q(X0) ),
inference(copy,[status(esa)],[c_2649]) ).
cnf(c_3269,plain,
( pp(X0)
| r(X0)
| q(s(X0))
| ~ q(X0) ),
inference(rewriting,[status(thm)],[c_3268]) ).
cnf(c_49,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1121) ).
cnf(c_65,negated_conjecture,
( ~ r(s(X0))
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1137) ).
cnf(c_695,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_65,c_695]) ).
cnf(c_911,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_49,c_695]) ).
cnf(c_1053,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_911]) ).
cnf(c_2212,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_1053]) ).
cnf(c_2433,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_2212]) ).
cnf(c_2692,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_2433]) ).
cnf(c_3354,negated_conjecture,
( ~ rr(X0)
| ~ p(X0)
| r(X0)
| ~ r(s(X0)) ),
inference(copy,[status(esa)],[c_2692]) ).
cnf(c_3355,plain,
( ~ r(s(X0))
| r(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3354]) ).
cnf(c_48085,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_48062,c_3355]) ).
cnf(c_48098,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48085]) ).
cnf(c_48242,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48098,c_41382]) ).
cnf(c_48243,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48242]) ).
cnf(c_48251,plain,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(resolution,[status(thm)],[c_48243,c_3254]) ).
cnf(c_48256,plain,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_48251]) ).
cnf(c_48705,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ rq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48256,c_3396,c_3404,c_3425,c_3207,c_3302,c_3317,c_3269]) ).
cnf(c_48706,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_48705]) ).
cnf(c_31140,plain,
( pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(resolution,[status(thm)],[c_31099,c_3254]) ).
cnf(c_31145,plain,
( pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_31140]) ).
cnf(c_37042,plain,
( pp(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31145,c_3396,c_3404,c_3425,c_3207,c_3302,c_3317,c_3269]) ).
cnf(c_37043,plain,
( pp(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_37042]) ).
cnf(c_48712,plain,
( pp(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_48706,c_37043]) ).
cnf(c_48714,plain,
( pp(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_48712]) ).
cnf(c_49988,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48201,c_3396,c_3404,c_3425,c_3207,c_3302,c_3317,c_3269,c_48714]) ).
cnf(c_49989,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_49988]) ).
cnf(c_50006,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_49989,c_3218]) ).
cnf(c_50007,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50006]) ).
cnf(c_181,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1253) ).
cnf(c_1317,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_181]) ).
cnf(c_2061,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1317]) ).
cnf(c_2584,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2061]) ).
cnf(c_2725,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2584]) ).
cnf(c_3420,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2725]) ).
cnf(c_50026,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50007,c_3420]) ).
cnf(c_50027,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_50026]) ).
cnf(c_50070,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_50027,c_3384]) ).
cnf(c_50071,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_50070]) ).
cnf(c_225,negated_conjecture,
( ap(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1297) ).
cnf(c_1405,negated_conjecture,
( ap(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_225]) ).
cnf(c_2105,negated_conjecture,
( ap(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1405]) ).
cnf(c_2540,negated_conjecture,
( ap(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2105]) ).
cnf(c_2788,negated_conjecture,
( ap(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2540]) ).
cnf(c_3546,negated_conjecture,
( ap(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2788]) ).
cnf(c_50115,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50071,c_3546]) ).
cnf(c_50116,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50115]) ).
cnf(c_22,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1094) ).
cnf(c_766,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_22,c_766]) ).
cnf(c_935,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_22,c_766]) ).
cnf(c_999,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_935]) ).
cnf(c_2242,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_999]) ).
cnf(c_2403,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2242]) ).
cnf(c_2779,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2403]) ).
cnf(c_3528,negated_conjecture,
( ~ q(s(X0))
| qq(X0)
| ~ pp(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2779]) ).
cnf(c_3529,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3528]) ).
cnf(c_50135,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_50116,c_3529]) ).
cnf(c_50154,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50135]) ).
cnf(c_12031,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_11994,c_3224]) ).
cnf(c_12034,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_12031]) ).
cnf(c_24944,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| ~ rr(s(X0))
| rr(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12034,c_3676,c_3668,c_3368,c_3402,c_3226,c_3275,c_3541,c_3319]) ).
cnf(c_24945,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| ~ rr(s(X0))
| rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_24944]) ).
cnf(c_24988,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_24945,c_3282]) ).
cnf(c_24995,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_24988]) ).
cnf(c_25861,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| ~ q(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24995,c_3372,c_3353,c_3242,c_3541]) ).
cnf(c_25862,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| ~ q(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_25861]) ).
cnf(c_25881,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_25862,c_3221]) ).
cnf(c_25884,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_25881]) ).
cnf(c_25882,plain,
( ~ r(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_25862,c_3374]) ).
cnf(c_25883,plain,
( ~ r(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_25882]) ).
cnf(c_25904,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25883,c_3541]) ).
cnf(c_25905,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_25904]) ).
cnf(c_25957,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25884,c_25905]) ).
cnf(c_25958,plain,
( ~ r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_25957]) ).
cnf(c_25974,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_25958,c_3335]) ).
cnf(c_25993,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_25974]) ).
cnf(c_40864,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_25993,c_3232]) ).
cnf(c_40865,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_40864]) ).
cnf(c_40929,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_40865,c_3404]) ).
cnf(c_40930,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_40929]) ).
cnf(c_40999,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_40930,c_3368]) ).
cnf(c_41000,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_40999]) ).
cnf(c_41040,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41000,c_3532]) ).
cnf(c_41041,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_41040]) ).
cnf(c_41090,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_41041,c_3366]) ).
cnf(c_41091,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_41090]) ).
cnf(c_41201,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41091,c_3668,c_3538]) ).
cnf(c_41202,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_41201]) ).
cnf(c_41231,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_41202,c_3207]) ).
cnf(c_41236,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_41231]) ).
cnf(c_42875,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41236,c_3676,c_3221]) ).
cnf(c_42876,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42875]) ).
cnf(c_42904,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_42876,c_3372]) ).
cnf(c_42905,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42904]) ).
cnf(c_42933,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42905,c_3532]) ).
cnf(c_42934,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42933]) ).
cnf(c_42961,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_42934,c_3380]) ).
cnf(c_42962,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42961]) ).
cnf(c_42990,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42962,c_3538]) ).
cnf(c_42991,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42990]) ).
cnf(c_43013,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_42991,c_3398]) ).
cnf(c_43014,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_43013]) ).
cnf(c_43061,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43014,c_19901]) ).
cnf(c_43062,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_43061]) ).
cnf(c_50545,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50154,c_3538,c_43062]) ).
cnf(c_50546,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50545]) ).
cnf(c_50565,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50546,c_3218]) ).
cnf(c_50566,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50565]) ).
cnf(c_50598,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50566,c_3408]) ).
cnf(c_50599,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50598]) ).
cnf(c_50648,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50599,c_3368]) ).
cnf(c_50649,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50648]) ).
cnf(c_50688,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50649,c_3536]) ).
cnf(c_50689,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50688]) ).
cnf(c_50725,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50689,c_3396]) ).
cnf(c_50726,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50725]) ).
cnf(c_50763,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50726,c_3420,c_3538]) ).
cnf(c_50764,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_50763]) ).
cnf(c_50793,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_50764,c_3374]) ).
cnf(c_50794,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_50793]) ).
cnf(c_226,negated_conjecture,
( qq(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1298) ).
cnf(c_1407,negated_conjecture,
( qq(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_226]) ).
cnf(c_2106,negated_conjecture,
( qq(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1407]) ).
cnf(c_2539,negated_conjecture,
( qq(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2106]) ).
cnf(c_2789,negated_conjecture,
( qq(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2539]) ).
cnf(c_3548,negated_conjecture,
( qq(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2789]) ).
cnf(c_50824,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50794,c_3548,c_3538]) ).
cnf(c_50825,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50824]) ).
cnf(c_50855,plain,
( ~ pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_50825,c_3372]) ).
cnf(c_50856,plain,
( ~ pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50855]) ).
cnf(c_50887,plain,
( ~ pp(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50856,c_3536,c_3253]) ).
cnf(c_50888,plain,
( ~ pp(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50887]) ).
cnf(c_96,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1168) ).
cnf(c_110,negated_conjecture,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1182) ).
cnf(c_626,negated_conjecture,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_110,c_626]) ).
cnf(c_870,negated_conjecture,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_96,c_626]) ).
cnf(c_1147,negated_conjecture,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_870]) ).
cnf(c_2185,negated_conjecture,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1147]) ).
cnf(c_2460,negated_conjecture,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2185]) ).
cnf(c_2665,negated_conjecture,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2460]) ).
cnf(c_3300,plain,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2665]) ).
cnf(c_50910,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_50888,c_3300]) ).
cnf(c_50923,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50910]) ).
cnf(c_43001,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_42991,c_3232]) ).
cnf(c_43002,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_43001]) ).
cnf(c_43111,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_43002,c_3408]) ).
cnf(c_43112,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_43111]) ).
cnf(c_43158,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_43112,c_3368]) ).
cnf(c_43159,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_43158]) ).
cnf(c_43196,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43159,c_3536]) ).
cnf(c_43197,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_43196]) ).
cnf(c_43240,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_43197,c_3321]) ).
cnf(c_43247,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_43240]) ).
cnf(c_46403,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43247,c_3526,c_3668]) ).
cnf(c_46404,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_46403]) ).
cnf(c_46433,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_46404,c_3372]) ).
cnf(c_46434,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_46433]) ).
cnf(c_46464,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46434,c_3536,c_3264]) ).
cnf(c_46465,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_46464]) ).
cnf(c_46487,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_46465,c_3398]) ).
cnf(c_46488,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_46487]) ).
cnf(c_20171,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20147,c_3321]) ).
cnf(c_20178,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20171]) ).
cnf(c_21368,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20178,c_3492]) ).
cnf(c_21369,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_21368]) ).
cnf(c_21394,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_21369,c_3372]) ).
cnf(c_21395,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_21394]) ).
cnf(c_21421,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21395,c_3610,c_3536,c_3264]) ).
cnf(c_21422,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21421]) ).
cnf(c_46543,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46488,c_21422]) ).
cnf(c_46544,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_46543]) ).
cnf(c_50944,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50923,c_46544]) ).
cnf(c_50945,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_50944]) ).
cnf(c_50965,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50945,c_3218]) ).
cnf(c_50966,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50965]) ).
cnf(c_50995,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50966,c_3402]) ).
cnf(c_50996,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_50995]) ).
cnf(c_51042,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_50996,c_3246]) ).
cnf(c_51047,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_51042]) ).
cnf(c_51083,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51047,c_3420,c_3242]) ).
cnf(c_51084,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51083]) ).
cnf(c_51118,plain,
( qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_51084,c_3396]) ).
cnf(c_51119,plain,
( qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51118]) ).
cnf(c_51153,plain,
( qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51119,c_3532]) ).
cnf(c_51154,plain,
( qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51153]) ).
cnf(c_65039,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_65014,c_51154]) ).
cnf(c_65108,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_65039]) ).
cnf(c_27459,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_27438,c_3398]) ).
cnf(c_27460,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_27459]) ).
cnf(c_154,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0)
| qrp2(X0)
| qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1226) ).
cnf(c_252,negated_conjecture,
( qq(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1324) ).
cnf(c_250,negated_conjecture,
( ar(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1322) ).
cnf(c_204,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1276) ).
cnf(c_202,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1274) ).
cnf(c_539,negated_conjecture,
( qrp3(X0)
| qrp4(X0)
| ~ qp(X0)
| qp(s(X0))
| qrp1(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_154,c_252,c_251,c_250,c_205,c_204,c_203,c_202,c_82,c_539]) ).
cnf(c_541,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_539,c_541]) ).
cnf(c_812,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_154,c_541]) ).
cnf(c_1263,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(copy,[status(esa)],[c_812]) ).
cnf(c_2152,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(copy,[status(esa)],[c_1263]) ).
cnf(c_2493,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(copy,[status(esa)],[c_2152]) ).
cnf(c_2623,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(copy,[status(esa)],[c_2493]) ).
cnf(c_3216,negated_conjecture,
( qp(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(copy,[status(esa)],[c_2623]) ).
cnf(c_38989,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_27460,c_3216]) ).
cnf(c_38990,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_38989]) ).
cnf(c_39410,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_38990,c_3218]) ).
cnf(c_39411,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_39410]) ).
cnf(c_39450,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_39411,c_3402]) ).
cnf(c_39451,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_39450]) ).
cnf(c_39504,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_39451,c_3246]) ).
cnf(c_39509,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_39504]) ).
cnf(c_195,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1267) ).
cnf(c_1345,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_195]) ).
cnf(c_2075,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_1345]) ).
cnf(c_2570,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2075]) ).
cnf(c_2746,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2570]) ).
cnf(c_3462,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2746]) ).
cnf(c_39549,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39509,c_3462,c_3426,c_32632,c_3242]) ).
cnf(c_39550,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_39549]) ).
cnf(c_39593,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_39550,c_3384]) ).
cnf(c_39594,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_39593]) ).
cnf(c_39637,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39594,c_3536]) ).
cnf(c_39638,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_39637]) ).
cnf(c_39668,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_39638,c_3396]) ).
cnf(c_39669,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_39668]) ).
cnf(c_194,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1266) ).
cnf(c_1343,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_194]) ).
cnf(c_2074,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1343]) ).
cnf(c_2571,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2074]) ).
cnf(c_2744,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2571]) ).
cnf(c_3458,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2744]) ).
cnf(c_39700,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39669,c_3458,c_3532]) ).
cnf(c_39701,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_39700]) ).
cnf(c_51156,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51154,c_39701]) ).
cnf(c_51164,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51156]) ).
cnf(c_65990,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65108,c_51164]) ).
cnf(c_65991,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_65990]) ).
cnf(c_66028,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_65991,c_3362]) ).
cnf(c_66029,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_66028]) ).
cnf(c_66119,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66029,c_3536]) ).
cnf(c_66120,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_66119]) ).
cnf(c_66133,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_66120,c_3546]) ).
cnf(c_66134,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_66133]) ).
cnf(c_66147,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66134,c_3536]) ).
cnf(c_66148,plain,
( pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_66147]) ).
cnf(c_66164,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_66148,c_3218]) ).
cnf(c_66165,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_66164]) ).
cnf(c_66204,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_66165,c_3404]) ).
cnf(c_66205,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_66204]) ).
cnf(c_66278,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_66205,c_3384]) ).
cnf(c_66279,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_66278]) ).
cnf(c_66330,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66279,c_3426,c_3538]) ).
cnf(c_66331,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_66330]) ).
cnf(c_66362,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_66331,c_3328]) ).
cnf(c_66377,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_66362]) ).
cnf(c_51184,plain,
( qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_51154,c_3374]) ).
cnf(c_51185,plain,
( qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51184]) ).
cnf(c_51212,plain,
( qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51185,c_3548,c_3532]) ).
cnf(c_51213,plain,
( qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_51212]) ).
cnf(c_51236,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_51213,c_3218]) ).
cnf(c_51237,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_51236]) ).
cnf(c_51343,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_51237,c_3404]) ).
cnf(c_51344,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_51343]) ).
cnf(c_51413,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_51344,c_3384]) ).
cnf(c_51414,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_51413]) ).
cnf(c_51459,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51414,c_3426,c_3538]) ).
cnf(c_51460,plain,
( qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51459]) ).
cnf(c_51476,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_51460,c_41945]) ).
cnf(c_51513,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51476]) ).
cnf(c_52075,plain,
( ~ pp(X0)
| r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_51513,c_3522]) ).
cnf(c_52088,plain,
( ~ pp(X0)
| r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_52075]) ).
cnf(c_179,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1251) ).
cnf(c_1313,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_179]) ).
cnf(c_2059,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1313]) ).
cnf(c_2586,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2059]) ).
cnf(c_2722,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2586]) ).
cnf(c_3414,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2722]) ).
cnf(c_52345,plain,
( ~ pp(X0)
| r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52088,c_3414]) ).
cnf(c_52346,plain,
( ~ pp(X0)
| r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_52345]) ).
cnf(c_52374,plain,
( ~ pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_52346,c_3556]) ).
cnf(c_52377,plain,
( ~ pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_52374]) ).
cnf(c_52955,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_52377,c_3218]) ).
cnf(c_52956,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_52955]) ).
cnf(c_53214,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_52956,c_3408]) ).
cnf(c_53215,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_53214]) ).
cnf(c_53289,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_53215,c_3386]) ).
cnf(c_53290,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_53289]) ).
cnf(c_184,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1256) ).
cnf(c_1323,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_184]) ).
cnf(c_2064,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1323]) ).
cnf(c_2581,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2064]) ).
cnf(c_2729,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2581]) ).
cnf(c_3428,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2729]) ).
cnf(c_53460,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53290,c_3428,c_3414,c_3536]) ).
cnf(c_53461,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_53460]) ).
cnf(c_79,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1151) ).
cnf(c_673,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_79,c_673]) ).
cnf(c_885,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_79,c_673]) ).
cnf(c_1113,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_885]) ).
cnf(c_2203,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1113]) ).
cnf(c_2442,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2203]) ).
cnf(c_2683,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2442]) ).
cnf(c_3336,negated_conjecture,
( p(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2683]) ).
cnf(c_3337,plain,
( pp(X0)
| r(X0)
| qq(X0)
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3336]) ).
cnf(c_53499,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_53461,c_3337]) ).
cnf(c_53516,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_53499]) ).
cnf(c_54598,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53516,c_3362,c_3621]) ).
cnf(c_54599,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_54598]) ).
cnf(c_54623,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_54599,c_3355]) ).
cnf(c_54636,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_54623]) ).
cnf(c_66409,plain,
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66377,c_3548,c_52377,c_54636]) ).
cnf(c_66410,plain,
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_66409]) ).
cnf(c_1109,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_2039,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_1109]) ).
cnf(c_2606,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_2039]) ).
cnf(c_2651,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_2606]) ).
cnf(c_3272,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_2651]) ).
cnf(c_35057,negated_conjecture,
( pp(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_35050,c_3272]) ).
cnf(c_35068,plain,
( pp(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_35057]) ).
cnf(c_66423,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(resolution,[status(thm)],[c_66410,c_35068]) ).
cnf(c_66436,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_66423]) ).
cnf(c_12,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1084) ).
cnf(c_783,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_12,c_783]) ).
cnf(c_943,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_12,c_783]) ).
cnf(c_979,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(copy,[status(esa)],[c_943]) ).
cnf(c_2250,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(copy,[status(esa)],[c_979]) ).
cnf(c_2395,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(copy,[status(esa)],[c_2250]) ).
cnf(c_2804,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(copy,[status(esa)],[c_2395]) ).
cnf(c_3578,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(copy,[status(esa)],[c_2804]) ).
cnf(c_3579,plain,
( ~ r(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3578]) ).
cnf(c_88310,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ aq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66436,c_3366,c_3579]) ).
cnf(c_88311,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_88310]) ).
cnf(c_88323,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_88311,c_3408]) ).
cnf(c_88324,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_88323]) ).
cnf(c_88334,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88324,c_3366]) ).
cnf(c_88335,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_88334]) ).
cnf(c_88412,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_88335,c_3386]) ).
cnf(c_88413,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_88412]) ).
cnf(c_88545,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_88413,c_3337]) ).
cnf(c_88562,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_88545]) ).
cnf(c_151764,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88562,c_3536,c_3372]) ).
cnf(c_151765,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_151764]) ).
cnf(c_151816,plain,
( pp(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_151765,c_3374]) ).
cnf(c_151817,plain,
( pp(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_151816]) ).
cnf(c_151868,plain,
( pp(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151817,c_3538]) ).
cnf(c_151869,plain,
( pp(X0)
| r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_151868]) ).
cnf(c_151881,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_151869,c_3402]) ).
cnf(c_151882,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_151881]) ).
cnf(c_41967,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41945,c_3315]) ).
cnf(c_41980,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41967]) ).
cnf(c_13,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1085) ).
cnf(c_981,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_13]) ).
cnf(c_2031,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_981]) ).
cnf(c_2614,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_2031]) ).
cnf(c_2617,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_2614]) ).
cnf(c_3204,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(s(X0)) ),
inference(copy,[status(esa)],[c_2617]) ).
cnf(c_6614,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_4311,c_3204]) ).
cnf(c_6619,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_6614]) ).
cnf(c_214,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1286) ).
cnf(c_1383,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_214]) ).
cnf(c_2094,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1383]) ).
cnf(c_2551,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2094]) ).
cnf(c_2773,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2551]) ).
cnf(c_3516,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2773]) ).
cnf(c_7347,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6619,c_3530,c_3516]) ).
cnf(c_7348,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(s(X0))
| pr(X0) ),
inference(rewriting,[status(thm)],[c_7347]) ).
cnf(c_7361,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_7348,c_3236]) ).
cnf(c_7362,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_7361]) ).
cnf(c_7377,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7362,c_3444,c_3574]) ).
cnf(c_7378,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_7377]) ).
cnf(c_7390,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7378,c_3232]) ).
cnf(c_7391,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_7390]) ).
cnf(c_8051,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_7391,c_3236]) ).
cnf(c_8052,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_8051]) ).
cnf(c_10529,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_8052,c_3404]) ).
cnf(c_10530,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10529]) ).
cnf(c_10566,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_10530,c_3368]) ).
cnf(c_10567,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_10566]) ).
cnf(c_11455,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10567,c_3584,c_3574,c_3532]) ).
cnf(c_11456,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_11455]) ).
cnf(c_11482,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_11456,c_3384]) ).
cnf(c_11483,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_11482]) ).
cnf(c_11510,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11483,c_3530,c_3538]) ).
cnf(c_11511,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_11510]) ).
cnf(c_11529,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_11511,c_3496]) ).
cnf(c_11536,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_11529]) ).
cnf(c_261,negated_conjecture,
( q(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1333) ).
cnf(c_1477,negated_conjecture,
( q(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_261]) ).
cnf(c_2141,negated_conjecture,
( q(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1477]) ).
cnf(c_2504,negated_conjecture,
( q(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2141]) ).
cnf(c_2845,negated_conjecture,
( q(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2504]) ).
cnf(c_3660,negated_conjecture,
( q(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2845]) ).
cnf(c_11597,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11536,c_3660]) ).
cnf(c_11598,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11597]) ).
cnf(c_42338,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_41980,c_11598]) ).
cnf(c_42344,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42338]) ).
cnf(c_44637,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_42344,c_3241]) ).
cnf(c_44648,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_44637]) ).
cnf(c_46089,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_44648,c_3380]) ).
cnf(c_46090,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_46089]) ).
cnf(c_46120,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46090,c_3538]) ).
cnf(c_46121,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_46120]) ).
cnf(c_46131,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46121,c_3232]) ).
cnf(c_46132,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46131]) ).
cnf(c_46195,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46132,c_3222]) ).
cnf(c_46198,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46195]) ).
cnf(c_38,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1110) ).
cnf(c_736,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_38,c_736]) ).
cnf(c_922,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_38,c_736]) ).
cnf(c_1031,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_922]) ).
cnf(c_2229,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_1031]) ).
cnf(c_2416,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_2229]) ).
cnf(c_2736,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_2416]) ).
cnf(c_3442,negated_conjecture,
( q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_2736]) ).
cnf(c_3443,plain,
( r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0) ),
inference(rewriting,[status(thm)],[c_3442]) ).
cnf(c_43,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1115) ).
cnf(c_726,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_43,c_726]) ).
cnf(c_917,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_43,c_726]) ).
cnf(c_1041,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_917]) ).
cnf(c_2224,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_1041]) ).
cnf(c_2421,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_2224]) ).
cnf(c_2721,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_2421]) ).
cnf(c_3412,negated_conjecture,
( p(X0)
| ~ p(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(copy,[status(esa)],[c_2721]) ).
cnf(c_3413,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(s(X0))
| p(X0) ),
inference(rewriting,[status(thm)],[c_3412]) ).
cnf(c_75,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1147) ).
cnf(c_679,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_75,c_679]) ).
cnf(c_888,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_75,c_679]) ).
cnf(c_1105,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_888]) ).
cnf(c_2206,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1105]) ).
cnf(c_2439,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2206]) ).
cnf(c_2686,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2439]) ).
cnf(c_3342,negated_conjecture,
( q(X0)
| pp(s(X0))
| pp(X0)
| ~ r(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2686]) ).
cnf(c_3343,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3342]) ).
cnf(c_49119,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46198,c_3668,c_3366,c_3579,c_3275,c_3323,c_3443,c_3413,c_3343]) ).
cnf(c_49120,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49119]) ).
cnf(c_49131,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_49120,c_3408]) ).
cnf(c_49132,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49131]) ).
cnf(c_49141,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49132,c_3366]) ).
cnf(c_49142,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(s(X0))
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49141]) ).
cnf(c_49180,plain,
( ~ r(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_49142,c_3226]) ).
cnf(c_49183,plain,
( ~ r(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49180]) ).
cnf(c_49181,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(X0)
| ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_49142,c_3368]) ).
cnf(c_49182,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| rr(X0)
| ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49181]) ).
cnf(c_49220,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49182,c_3579]) ).
cnf(c_49221,plain,
( ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49220]) ).
cnf(c_49311,plain,
( ~ r(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| p(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49183,c_49221]) ).
cnf(c_49312,plain,
( ~ r(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| p(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49311]) ).
cnf(c_76,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1148) ).
cnf(c_677,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_76,c_677]) ).
cnf(c_887,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_76,c_677]) ).
cnf(c_1107,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_887]) ).
cnf(c_2205,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1107]) ).
cnf(c_2440,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2205]) ).
cnf(c_2685,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2440]) ).
cnf(c_3340,negated_conjecture,
( p(s(X0))
| q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2685]) ).
cnf(c_3341,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3340]) ).
cnf(c_49347,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_49312,c_3341]) ).
cnf(c_49366,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_49347]) ).
cnf(c_95,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1167) ).
cnf(c_647,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_95,c_647]) ).
cnf(c_871,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_95,c_647]) ).
cnf(c_1145,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_871]) ).
cnf(c_2191,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_1145]) ).
cnf(c_2454,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2191]) ).
cnf(c_2671,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2454]) ).
cnf(c_3312,negated_conjecture,
( ~ r(X0)
| pp(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2671]) ).
cnf(c_3313,plain,
( pp(X0)
| ~ r(X0)
| ~ q(s(X0))
| q(X0) ),
inference(rewriting,[status(thm)],[c_3312]) ).
cnf(c_51531,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49366,c_3680,c_3313]) ).
cnf(c_51532,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_51531]) ).
cnf(c_51542,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_51532,c_3232]) ).
cnf(c_51543,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51542]) ).
cnf(c_51586,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_51543,c_3402]) ).
cnf(c_51587,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51586]) ).
cnf(c_51638,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_51587,c_3226]) ).
cnf(c_51641,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51638]) ).
cnf(c_51680,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51641,c_3668,c_3208]) ).
cnf(c_51681,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51680]) ).
cnf(c_51738,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_51681,c_3366]) ).
cnf(c_51739,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51738]) ).
cnf(c_51796,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51739,c_3536]) ).
cnf(c_51797,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51796]) ).
cnf(c_51828,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_51797,c_3378]) ).
cnf(c_51829,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51828]) ).
cnf(c_51860,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51829,c_3532]) ).
cnf(c_51861,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51860]) ).
cnf(c_51909,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_51861,c_3392]) ).
cnf(c_51910,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_51909]) ).
cnf(c_51959,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51910,c_3524,c_3532]) ).
cnf(c_51960,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_51959]) ).
cnf(c_51988,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_51960,c_3362]) ).
cnf(c_51989,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_51988]) ).
cnf(c_52018,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51989,c_3536]) ).
cnf(c_52019,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_52018]) ).
cnf(c_52026,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_52019,c_3212]) ).
cnf(c_52029,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_52026]) ).
cnf(c_52654,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52029,c_3396,c_3404,c_3275,c_3344,c_3425,c_3430]) ).
cnf(c_52655,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0) ),
inference(rewriting,[status(thm)],[c_52654]) ).
cnf(c_52705,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(resolution,[status(thm)],[c_52655,c_3323]) ).
cnf(c_52714,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(rewriting,[status(thm)],[c_52705]) ).
cnf(c_52975,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52714,c_3344]) ).
cnf(c_52976,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(rewriting,[status(thm)],[c_52975]) ).
cnf(c_53001,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_52976,c_3534]) ).
cnf(c_53010,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_53001]) ).
cnf(c_53102,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53010,c_3466,c_3221,c_3522]) ).
cnf(c_53103,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_53102]) ).
cnf(c_53146,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_53103,c_3359]) ).
cnf(c_53159,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_53146]) ).
cnf(c_56521,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_53159,c_3362]) ).
cnf(c_56522,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_56521]) ).
cnf(c_56616,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56522,c_3538]) ).
cnf(c_56617,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_56616]) ).
cnf(c_56627,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_56617,c_3408]) ).
cnf(c_56628,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_56627]) ).
cnf(c_56700,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_56628,c_3386]) ).
cnf(c_56701,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_56700]) ).
cnf(c_56767,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56701,c_3536]) ).
cnf(c_56768,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_56767]) ).
cnf(c_56818,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_56768,c_3251]) ).
cnf(c_56833,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_56818]) ).
cnf(c_60289,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56833,c_3353,c_3253]) ).
cnf(c_60290,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_60289]) ).
cnf(c_60327,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_60290,c_3396]) ).
cnf(c_60328,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_60327]) ).
cnf(c_60365,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60328,c_3538]) ).
cnf(c_60366,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_60365]) ).
cnf(c_60394,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_60366,c_3374]) ).
cnf(c_60395,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_60394]) ).
cnf(c_60424,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60395,c_3538]) ).
cnf(c_60425,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_60424]) ).
cnf(c_60466,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_60425,c_3390]) ).
cnf(c_60467,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_60466]) ).
cnf(c_60509,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60467,c_3536]) ).
cnf(c_60510,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_60509]) ).
cnf(c_60517,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_60510,c_3402]) ).
cnf(c_60518,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_60517]) ).
cnf(c_102,negated_conjecture,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1174) ).
cnf(c_637,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_102,c_637]) ).
cnf(c_864,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_102,c_637]) ).
cnf(c_1159,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_864]) ).
cnf(c_2188,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1159]) ).
cnf(c_2457,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2188]) ).
cnf(c_2668,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2457]) ).
cnf(c_3306,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| qq(X0)
| ~ r(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2668]) ).
cnf(c_3307,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3306]) ).
cnf(c_60593,plain,
( ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_60518,c_3307]) ).
cnf(c_60606,plain,
( ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_60593]) ).
cnf(c_60668,plain,
( ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60606,c_3281]) ).
cnf(c_60669,plain,
( ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_60668]) ).
cnf(c_60707,plain,
( ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_60669,c_3396]) ).
cnf(c_60708,plain,
( ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_60707]) ).
cnf(c_60746,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60708,c_3532,c_3374]) ).
cnf(c_60747,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_60746]) ).
cnf(c_60785,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_60747,c_3404]) ).
cnf(c_60786,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_60785]) ).
cnf(c_60966,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_60786,c_3366]) ).
cnf(c_60967,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_60966]) ).
cnf(c_61023,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60967,c_3538]) ).
cnf(c_61024,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61023]) ).
cnf(c_61057,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_61024,c_3344]) ).
cnf(c_61068,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61057]) ).
cnf(c_62177,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61068,c_3392]) ).
cnf(c_62178,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0) ),
inference(rewriting,[status(thm)],[c_62177]) ).
cnf(c_62205,plain,
( ~ r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_62178,c_3466]) ).
cnf(c_62212,plain,
( ~ r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_62205]) ).
cnf(c_72,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1144) ).
cnf(c_103,negated_conjecture,
( r(s(X0))
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1175) ).
cnf(c_635,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_103,c_635]) ).
cnf(c_891,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(global_propositional_subsumption,[status(thm)],[c_72,c_635]) ).
cnf(c_1099,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_891]) ).
cnf(c_2187,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_1099]) ).
cnf(c_2458,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_2187]) ).
cnf(c_2667,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_2458]) ).
cnf(c_3304,negated_conjecture,
( ~ rr(X0)
| p(X0)
| ~ r(X0)
| r(s(X0)) ),
inference(copy,[status(esa)],[c_2667]) ).
cnf(c_3305,plain,
( r(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_3304]) ).
cnf(c_62332,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_62212,c_3305]) ).
cnf(c_62343,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_62332]) ).
cnf(c_120941,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_62343,c_3408]) ).
cnf(c_120942,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_120941]) ).
cnf(c_121709,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_120942,c_3386]) ).
cnf(c_121710,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_121709]) ).
cnf(c_121797,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121710,c_3536]) ).
cnf(c_121798,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_121797]) ).
cnf(c_121889,plain,
( ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_121798,c_3251]) ).
cnf(c_121904,plain,
( ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_121889]) ).
cnf(c_121994,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121904,c_60366,c_3353]) ).
cnf(c_121995,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_121994]) ).
cnf(c_122059,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_121995,c_3396]) ).
cnf(c_122060,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_122059]) ).
cnf(c_122124,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122060,c_3538]) ).
cnf(c_122125,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_122124]) ).
cnf(c_122197,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_122125,c_3390]) ).
cnf(c_122198,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_122197]) ).
cnf(c_122395,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122198,c_3536]) ).
cnf(c_122396,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_122395]) ).
cnf(c_122408,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_122396,c_3402]) ).
cnf(c_122409,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_122408]) ).
cnf(c_122505,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_122409,c_3282]) ).
cnf(c_122512,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_122505]) ).
cnf(c_131875,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122512,c_3242,c_3275]) ).
cnf(c_131876,plain,
( ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_131875]) ).
cnf(c_131936,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_131876,c_3335]) ).
cnf(c_131953,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_131936]) ).
cnf(c_132235,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_131953,c_3404]) ).
cnf(c_132236,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132235]) ).
cnf(c_132311,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_132236,c_3368]) ).
cnf(c_132312,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132311]) ).
cnf(c_132365,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132312,c_3532]) ).
cnf(c_132366,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132365]) ).
cnf(c_132463,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_132366,c_3366]) ).
cnf(c_132464,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132463]) ).
cnf(c_132560,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132464,c_3538]) ).
cnf(c_132561,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132560]) ).
cnf(c_132624,plain,
( ~ pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_132561,c_3207]) ).
cnf(c_132629,plain,
( ~ pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132624]) ).
cnf(c_132690,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132629,c_3221]) ).
cnf(c_132691,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132690]) ).
cnf(c_132747,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_132691,c_3380]) ).
cnf(c_132748,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_132747]) ).
cnf(c_133043,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132748,c_3538]) ).
cnf(c_133044,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_133043]) ).
cnf(c_133068,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_133044,c_3408]) ).
cnf(c_133069,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_133068]) ).
cnf(c_133253,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_133069,c_3368]) ).
cnf(c_133254,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_133253]) ).
cnf(c_133586,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133254,c_3536]) ).
cnf(c_133587,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_133586]) ).
cnf(c_133680,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_133587,c_3321]) ).
cnf(c_133687,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_133680]) ).
cnf(c_134509,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_133687,c_3372]) ).
cnf(c_134510,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_134509]) ).
cnf(c_134911,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134510,c_3536,c_3264]) ).
cnf(c_134912,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_134911]) ).
cnf(c_134921,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_134912,c_3402]) ).
cnf(c_134922,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_134921]) ).
cnf(c_152010,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_151882,c_134922]) ).
cnf(c_152125,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152010]) ).
cnf(c_152561,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_152125,c_3366]) ).
cnf(c_152562,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152561]) ).
cnf(c_152658,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152562,c_3536]) ).
cnf(c_152659,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152658]) ).
cnf(c_152722,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_152659,c_3396]) ).
cnf(c_152723,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_152722]) ).
cnf(c_152787,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152723,c_3532,c_3208]) ).
cnf(c_152788,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152787]) ).
cnf(c_152837,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_152788,c_3374]) ).
cnf(c_152838,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_152837]) ).
cnf(c_152898,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152838,c_3532]) ).
cnf(c_152899,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152898]) ).
cnf(c_152940,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_152899,c_3319]) ).
cnf(c_152949,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152940]) ).
cnf(c_153344,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152949,c_60747]) ).
cnf(c_153345,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_153344]) ).
cnf(c_153393,plain,
( pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_153345,c_3362]) ).
cnf(c_153394,plain,
( pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_153393]) ).
cnf(c_153442,plain,
( pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153394,c_3536]) ).
cnf(c_153443,plain,
( pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_153442]) ).
cnf(c_153468,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_153443,c_3404]) ).
cnf(c_153469,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153468]) ).
cnf(c_156147,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_153469,c_3366]) ).
cnf(c_156148,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156147]) ).
cnf(c_156239,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156148,c_3538]) ).
cnf(c_156240,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156239]) ).
cnf(c_156296,plain,
( pp(s(X0))
| ~ pp(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_156240,c_3430]) ).
cnf(c_156309,plain,
( pp(s(X0))
| ~ pp(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156296]) ).
cnf(c_156300,plain,
( pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_156240,c_3207]) ).
cnf(c_156305,plain,
( pp(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156300]) ).
cnf(c_156719,plain,
( pp(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156305,c_3221]) ).
cnf(c_156720,plain,
( pp(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156719]) ).
cnf(c_156773,plain,
( pp(X0)
| r(X0)
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_156720,c_3362]) ).
cnf(c_156774,plain,
( pp(X0)
| r(X0)
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156773]) ).
cnf(c_156820,plain,
( pp(X0)
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156774,c_3538]) ).
cnf(c_156821,plain,
( pp(X0)
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156820]) ).
cnf(c_61056,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_61024,c_3430]) ).
cnf(c_61069,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61056]) ).
cnf(c_62260,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_61069,c_3522]) ).
cnf(c_62273,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_62260]) ).
cnf(c_39,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1111) ).
cnf(c_734,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_39,c_734]) ).
cnf(c_921,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_39,c_734]) ).
cnf(c_1033,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_921]) ).
cnf(c_2228,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_1033]) ).
cnf(c_2417,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2228]) ).
cnf(c_2733,negated_conjecture,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2417]) ).
cnf(c_3436,plain,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| p(X0) ),
inference(copy,[status(esa)],[c_2733]) ).
cnf(c_62468,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_62273,c_3436]) ).
cnf(c_62475,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_62468]) ).
cnf(c_224,negated_conjecture,
( ap(X0)
| ar(X0)
| aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1296) ).
cnf(c_1403,negated_conjecture,
( ap(X0)
| ar(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_224]) ).
cnf(c_2104,negated_conjecture,
( ap(X0)
| ar(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_1403]) ).
cnf(c_2541,negated_conjecture,
( ap(X0)
| ar(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2104]) ).
cnf(c_2787,negated_conjecture,
( ap(X0)
| ar(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2541]) ).
cnf(c_3544,plain,
( ap(X0)
| ar(X0)
| aq(X0) ),
inference(copy,[status(esa)],[c_2787]) ).
cnf(c_122601,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_62475,c_3544]) ).
cnf(c_122602,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_122601]) ).
cnf(c_123934,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122602,c_122396]) ).
cnf(c_123935,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_123934]) ).
cnf(c_123942,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0) ),
inference(resolution,[status(thm)],[c_123935,c_60747]) ).
cnf(c_123947,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_123942]) ).
cnf(c_56625,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_56617,c_3544]) ).
cnf(c_56626,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_56625]) ).
cnf(c_56819,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_56768,c_3579]) ).
cnf(c_56832,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_56819]) ).
cnf(c_57433,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56832,c_3305]) ).
cnf(c_57434,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_57433]) ).
cnf(c_57471,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_57434,c_3396]) ).
cnf(c_57472,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_57471]) ).
cnf(c_57510,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57472,c_3538,c_3253]) ).
cnf(c_57511,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_57510]) ).
cnf(c_57538,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_57511,c_3374]) ).
cnf(c_57539,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_57538]) ).
cnf(c_57567,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57539,c_3538]) ).
cnf(c_57568,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_57567]) ).
cnf(c_57599,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56626,c_57568]) ).
cnf(c_57600,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_57599]) ).
cnf(c_60760,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_60747,c_57600]) ).
cnf(c_60768,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_60760]) ).
cnf(c_124054,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123947,c_60768]) ).
cnf(c_124055,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_124054]) ).
cnf(c_124058,plain,
( ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_124055,c_62343]) ).
cnf(c_124066,plain,
( ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_124058]) ).
cnf(c_104,negated_conjecture,
( ~ r(X0)
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1176) ).
cnf(c_122,negated_conjecture,
( ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1194) ).
cnf(c_604,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_122,c_604]) ).
cnf(c_862,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_104,c_604]) ).
cnf(c_1163,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_862]) ).
cnf(c_2175,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1163]) ).
cnf(c_2470,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2175]) ).
cnf(c_2653,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2470]) ).
cnf(c_3276,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2653]) ).
cnf(c_3277,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3276]) ).
cnf(c_124552,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_124066,c_3277]) ).
cnf(c_124555,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_124552]) ).
cnf(c_120,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1192) ).
cnf(c_137,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1209) ).
cnf(c_580,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_137,c_580]) ).
cnf(c_846,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_120,c_580]) ).
cnf(c_1195,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_846]) ).
cnf(c_2166,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1195]) ).
cnf(c_2479,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2166]) ).
cnf(c_2643,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2479]) ).
cnf(c_3256,negated_conjecture,
( qq(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2643]) ).
cnf(c_3257,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3256]) ).
cnf(c_124569,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_124555,c_3257]) ).
cnf(c_124572,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_124569]) ).
cnf(c_156841,plain,
( pp(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_124572]) ).
cnf(c_156861,plain,
( pp(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156841]) ).
cnf(c_166669,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156309,c_156861]) ).
cnf(c_166670,plain,
( pp(s(X0))
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_166669]) ).
cnf(c_166673,plain,
( pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_166670,c_53103]) ).
cnf(c_166677,plain,
( pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_166673]) ).
cnf(c_166806,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_166677,c_3362]) ).
cnf(c_166807,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_166806]) ).
cnf(c_166976,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_166807,c_3538]) ).
cnf(c_166977,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_166976]) ).
cnf(c_166987,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_166977,c_3408]) ).
cnf(c_166988,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_166987]) ).
cnf(c_167054,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_166988,c_3386]) ).
cnf(c_167055,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_167054]) ).
cnf(c_167143,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167055,c_3536]) ).
cnf(c_167144,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_167143]) ).
cnf(c_167223,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_167144,c_3594]) ).
cnf(c_167228,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_167223]) ).
cnf(c_191762,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167228,c_3344,c_3621]) ).
cnf(c_191763,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_191762]) ).
cnf(c_191776,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_191763,c_3402]) ).
cnf(c_191777,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_191776]) ).
cnf(c_191825,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_191777,c_134922]) ).
cnf(c_191900,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_191825]) ).
cnf(c_192286,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_191900,c_3366]) ).
cnf(c_192287,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192286]) ).
cnf(c_192357,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192287,c_3536]) ).
cnf(c_192358,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192357]) ).
cnf(c_192420,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_192358,c_3396]) ).
cnf(c_192421,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_192420]) ).
cnf(c_192480,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192421,c_3532,c_3208]) ).
cnf(c_192481,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192480]) ).
cnf(c_192550,plain,
( r(s(X0))
| ~ qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_192481,c_3392]) ).
cnf(c_192551,plain,
( r(s(X0))
| ~ qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_192550]) ).
cnf(c_192735,plain,
( r(s(X0))
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192551,c_3532]) ).
cnf(c_192736,plain,
( r(s(X0))
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192735]) ).
cnf(c_59,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1131) ).
cnf(c_134,negated_conjecture,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1206) ).
cnf(c_586,negated_conjecture,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_134,c_586]) ).
cnf(c_903,negated_conjecture,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_59,c_586]) ).
cnf(c_1073,negated_conjecture,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_903]) ).
cnf(c_2169,negated_conjecture,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1073]) ).
cnf(c_2476,negated_conjecture,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2169]) ).
cnf(c_2646,negated_conjecture,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2476]) ).
cnf(c_3262,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2646]) ).
cnf(c_122506,plain,
( pp(X0)
| ~ r(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_122409,c_3262]) ).
cnf(c_122511,plain,
( pp(X0)
| ~ r(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_122506]) ).
cnf(c_131623,plain,
( pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122511,c_3242,c_3275]) ).
cnf(c_131624,plain,
( pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_131623]) ).
cnf(c_192751,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_192736,c_131624]) ).
cnf(c_192802,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192751]) ).
cnf(c_193288,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192802,c_153443]) ).
cnf(c_193289,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_193288]) ).
cnf(c_193321,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_193289,c_3404]) ).
cnf(c_193322,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_193321]) ).
cnf(c_193959,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_193322,c_3368]) ).
cnf(c_193960,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_193959]) ).
cnf(c_194179,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193960,c_3532]) ).
cnf(c_194180,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_194179]) ).
cnf(c_194248,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_194180,c_3366]) ).
cnf(c_194249,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_194248]) ).
cnf(c_194318,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194249,c_3538]) ).
cnf(c_194319,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_194318]) ).
cnf(c_194372,plain,
( pp(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_194319,c_3275]) ).
cnf(c_194381,plain,
( pp(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_194372]) ).
cnf(c_194949,plain,
( pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194381,c_166677]) ).
cnf(c_194950,plain,
( pp(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_194949]) ).
cnf(c_195018,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_194950,c_3362]) ).
cnf(c_195019,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_195018]) ).
cnf(c_597138,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195019,c_3538]) ).
cnf(c_597139,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_597138]) ).
cnf(c_597156,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_597139,c_3408]) ).
cnf(c_597157,plain,
( pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_597156]) ).
cnf(c_597640,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_597157,c_3251]) ).
cnf(c_597655,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_597640]) ).
cnf(c_597858,plain,
( ~ r(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_597655,c_3253]) ).
cnf(c_597859,plain,
( ~ r(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_597858]) ).
cnf(c_597931,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_597859,c_3396]) ).
cnf(c_597932,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_597931]) ).
cnf(c_598575,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_597932,c_3538]) ).
cnf(c_598576,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_598575]) ).
cnf(c_133674,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_133587,c_3607]) ).
cnf(c_133693,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_133674]) ).
cnf(c_133813,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133693,c_3362,c_3621]) ).
cnf(c_133814,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0) ),
inference(rewriting,[status(thm)],[c_133813]) ).
cnf(c_133857,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(resolution,[status(thm)],[c_133814,c_3319]) ).
cnf(c_133866,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0) ),
inference(rewriting,[status(thm)],[c_133857]) ).
cnf(c_134404,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_133866,c_3365]) ).
cnf(c_134421,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_134404]) ).
cnf(c_598580,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598576,c_134421]) ).
cnf(c_598595,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_598580]) ).
cnf(c_216849,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_134421,c_3402]) ).
cnf(c_216850,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_216849]) ).
cnf(c_216949,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_216850,c_3246]) ).
cnf(c_216954,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_216949]) ).
cnf(c_52027,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_52019,c_3232]) ).
cnf(c_52028,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_52027]) ).
cnf(c_52478,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_52028,c_3404]) ).
cnf(c_52479,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_52478]) ).
cnf(c_52879,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_52479,c_3366]) ).
cnf(c_52880,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_52879]) ).
cnf(c_53038,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52880,c_3668,c_3538]) ).
cnf(c_53039,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_53038]) ).
cnf(c_53062,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_53039,c_3513]) ).
cnf(c_53077,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_53062]) ).
cnf(c_28130,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_28113,c_3425]) ).
cnf(c_28147,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_28130]) ).
cnf(c_55042,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28147,c_3514,c_32762,c_3241]) ).
cnf(c_55043,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_55042]) ).
cnf(c_113778,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53077,c_3520,c_55043,c_53103,c_3221]) ).
cnf(c_113779,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_113778]) ).
cnf(c_124676,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_124572,c_113779]) ).
cnf(c_124747,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_124676]) ).
cnf(c_124979,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_124747,c_3362]) ).
cnf(c_124980,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_124979]) ).
cnf(c_125131,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124980,c_3538]) ).
cnf(c_125132,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_125131]) ).
cnf(c_125164,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_125132,c_3398]) ).
cnf(c_125165,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_125164]) ).
cnf(c_70,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1142) ).
cnf(c_686,negated_conjecture,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_70,c_686]) ).
cnf(c_893,negated_conjecture,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_70,c_686]) ).
cnf(c_1095,negated_conjecture,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_893]) ).
cnf(c_2208,negated_conjecture,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_1095]) ).
cnf(c_2437,negated_conjecture,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2208]) ).
cnf(c_2688,negated_conjecture,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2437]) ).
cnf(c_3346,plain,
( ~ pp(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(copy,[status(esa)],[c_2688]) ).
cnf(c_20980,plain,
( pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_20945,c_3346]) ).
cnf(c_20985,plain,
( pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_20980]) ).
cnf(c_28,negated_conjecture,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1100) ).
cnf(c_750,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_28,c_750]) ).
cnf(c_929,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_28,c_750]) ).
cnf(c_1011,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_929]) ).
cnf(c_2236,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1011]) ).
cnf(c_2409,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2236]) ).
cnf(c_2757,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2409]) ).
cnf(c_3484,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2757]) ).
cnf(c_3485,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3484]) ).
cnf(c_21022,plain,
( ~ pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20985,c_3496,c_3485]) ).
cnf(c_21023,plain,
( ~ pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21022]) ).
cnf(c_21046,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_21023,c_3374]) ).
cnf(c_21047,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21046]) ).
cnf(c_21071,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21047,c_3538]) ).
cnf(c_21072,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21071]) ).
cnf(c_21096,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_21072,c_3556]) ).
cnf(c_21099,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21096]) ).
cnf(c_21138,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21099,c_3234]) ).
cnf(c_21139,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21138]) ).
cnf(c_21221,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21139,c_3402]) ).
cnf(c_21222,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21221]) ).
cnf(c_57,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1129) ).
cnf(c_135,negated_conjecture,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1207) ).
cnf(c_584,negated_conjecture,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_135,c_584]) ).
cnf(c_904,negated_conjecture,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_57,c_584]) ).
cnf(c_1069,negated_conjecture,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_904]) ).
cnf(c_2168,negated_conjecture,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1069]) ).
cnf(c_2477,negated_conjecture,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2168]) ).
cnf(c_2645,negated_conjecture,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2477]) ).
cnf(c_3260,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2645]) ).
cnf(c_21274,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21222,c_3260]) ).
cnf(c_21277,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21274]) ).
cnf(c_1459,negated_conjecture,
( qq(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_252]) ).
cnf(c_2132,negated_conjecture,
( qq(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1459]) ).
cnf(c_2513,negated_conjecture,
( qq(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2132]) ).
cnf(c_2827,negated_conjecture,
( qq(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2513]) ).
cnf(c_3624,negated_conjecture,
( qq(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2827]) ).
cnf(c_21597,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21277,c_3624,c_3614,c_3208,c_3295,c_3315]) ).
cnf(c_21598,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21597]) ).
cnf(c_21621,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_21598,c_3374]) ).
cnf(c_21622,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21621]) ).
cnf(c_21645,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21622,c_3532]) ).
cnf(c_21646,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21645]) ).
cnf(c_14,negated_conjecture,
( ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1086) ).
cnf(c_781,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_14,c_781]) ).
cnf(c_942,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_14,c_781]) ).
cnf(c_983,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_942]) ).
cnf(c_2249,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_983]) ).
cnf(c_2396,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2249]) ).
cnf(c_2801,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2396]) ).
cnf(c_3572,negated_conjecture,
( qq(X0)
| ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2801]) ).
cnf(c_3573,plain,
( ~ pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3572]) ).
cnf(c_21661,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_21646,c_3573]) ).
cnf(c_21680,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_21661]) ).
cnf(c_22028,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_21680,c_3380]) ).
cnf(c_22029,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_22028]) ).
cnf(c_22050,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22029,c_3536]) ).
cnf(c_22051,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_22050]) ).
cnf(c_22068,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22051,c_3234]) ).
cnf(c_22069,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22068]) ).
cnf(c_22110,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22069,c_3404]) ).
cnf(c_22111,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22110]) ).
cnf(c_22162,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22111,c_3368]) ).
cnf(c_22163,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22162]) ).
cnf(c_22195,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22163,c_3532]) ).
cnf(c_22196,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22195]) ).
cnf(c_22233,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22196,c_3384]) ).
cnf(c_22234,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22233]) ).
cnf(c_22272,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22234,c_3476,c_3538]) ).
cnf(c_22273,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22272]) ).
cnf(c_131,negated_conjecture,
( ~ r(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1203) ).
cnf(c_143,negated_conjecture,
( ~ r(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1215) ).
cnf(c_568,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_143,c_568]) ).
cnf(c_835,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_131,c_568]) ).
cnf(c_1217,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_835]) ).
cnf(c_2160,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1217]) ).
cnf(c_2485,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2160]) ).
cnf(c_2634,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2485]) ).
cnf(c_3238,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2634]) ).
cnf(c_3239,plain,
( ~ r(X0)
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3238]) ).
cnf(c_22290,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22273,c_3239]) ).
cnf(c_22307,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22290]) ).
cnf(c_1363,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_204]) ).
cnf(c_2084,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1363]) ).
cnf(c_2561,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2084]) ).
cnf(c_2759,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2561]) ).
cnf(c_3488,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2759]) ).
cnf(c_22454,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22307,c_3488,c_3241]) ).
cnf(c_22455,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_22454]) ).
cnf(c_22474,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_22455,c_3380]) ).
cnf(c_22475,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_22474]) ).
cnf(c_22495,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22475,c_3538]) ).
cnf(c_22496,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_22495]) ).
cnf(c_22510,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22496,c_3234]) ).
cnf(c_22511,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22510]) ).
cnf(c_22541,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22511,c_3408]) ).
cnf(c_22542,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22541]) ).
cnf(c_22580,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22542,c_3368]) ).
cnf(c_22581,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22580]) ).
cnf(c_22612,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22581,c_3536]) ).
cnf(c_22613,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22612]) ).
cnf(c_22640,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22613,c_3341]) ).
cnf(c_22659,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22640]) ).
cnf(c_57806,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22659,c_3616,c_3362,c_3621]) ).
cnf(c_57807,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_57806]) ).
cnf(c_117,negated_conjecture,
( pp(X0)
| r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1189) ).
cnf(c_612,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_117,c_612]) ).
cnf(c_849,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_117,c_612]) ).
cnf(c_1189,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_849]) ).
cnf(c_2178,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_1189]) ).
cnf(c_2467,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_2178]) ).
cnf(c_2657,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_2467]) ).
cnf(c_3284,negated_conjecture,
( q(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0) ),
inference(copy,[status(esa)],[c_2657]) ).
cnf(c_3285,plain,
( pp(X0)
| r(s(X0))
| ~ r(X0)
| q(X0) ),
inference(rewriting,[status(thm)],[c_3284]) ).
cnf(c_57844,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_57807,c_3285]) ).
cnf(c_57853,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_57844]) ).
cnf(c_58287,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57853,c_3488]) ).
cnf(c_58288,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58287]) ).
cnf(c_58310,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_58288,c_3343]) ).
cnf(c_58325,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58310]) ).
cnf(c_58367,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58325,c_3234]) ).
cnf(c_58368,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58367]) ).
cnf(c_58414,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58368,c_3402]) ).
cnf(c_58415,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58414]) ).
cnf(c_58467,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58415,c_3226]) ).
cnf(c_58470,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58467]) ).
cnf(c_58511,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58470,c_3622,c_3616,c_3208]) ).
cnf(c_58512,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58511]) ).
cnf(c_58544,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_58512,c_3378]) ).
cnf(c_58545,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58544]) ).
cnf(c_58577,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58545,c_3532]) ).
cnf(c_58578,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58577]) ).
cnf(c_58630,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_58578,c_3392]) ).
cnf(c_58631,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58630]) ).
cnf(c_58684,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58631,c_3532]) ).
cnf(c_58685,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58684]) ).
cnf(c_58719,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_58685,c_3362]) ).
cnf(c_58720,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58719]) ).
cnf(c_58755,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58720,c_3536]) ).
cnf(c_58756,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_58755]) ).
cnf(c_58779,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58756,c_3234]) ).
cnf(c_58780,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58779]) ).
cnf(c_58840,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58780,c_3404]) ).
cnf(c_58841,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58840]) ).
cnf(c_58924,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_58841,c_3366]) ).
cnf(c_58925,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_58924]) ).
cnf(c_58984,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58925,c_3622,c_3538]) ).
cnf(c_58985,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_58984]) ).
cnf(c_59010,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_58985,c_3513]) ).
cnf(c_59025,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_59010]) ).
cnf(c_116115,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59025,c_3480,c_53103,c_3221]) ).
cnf(c_116116,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_116115]) ).
cnf(c_124672,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_124572,c_116116]) ).
cnf(c_124751,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_124672]) ).
cnf(c_59013,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_58985,c_3534]) ).
cnf(c_59022,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_59013]) ).
cnf(c_59053,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59022,c_3614,c_3374,c_3221,c_3522]) ).
cnf(c_59054,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_59053]) ).
cnf(c_59102,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_59054,c_3359]) ).
cnf(c_59115,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_59102]) ).
cnf(c_64049,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_59115,c_3362]) ).
cnf(c_64050,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_64049]) ).
cnf(c_64158,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64050,c_3538]) ).
cnf(c_64159,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_64158]) ).
cnf(c_64181,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_64159,c_3234]) ).
cnf(c_64182,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_64181]) ).
cnf(c_64381,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_64182,c_3408]) ).
cnf(c_64382,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_64381]) ).
cnf(c_64461,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_64382,c_3386]) ).
cnf(c_64462,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_64461]) ).
cnf(c_64533,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64462,c_3486,c_3480,c_3536]) ).
cnf(c_64534,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_64533]) ).
cnf(c_64590,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_64534,c_3413]) ).
cnf(c_64601,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_64590]) ).
cnf(c_69979,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ rr(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64601,c_3380,c_3305]) ).
cnf(c_69980,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ rr(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_69979]) ).
cnf(c_70005,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_69980,c_3522]) ).
cnf(c_70018,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_70005]) ).
cnf(c_125030,plain,
( pp(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124751,c_70018]) ).
cnf(c_125031,plain,
( pp(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_125030]) ).
cnf(c_125080,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_125031,c_3362]) ).
cnf(c_125081,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_125080]) ).
cnf(c_125196,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125081,c_3538]) ).
cnf(c_125197,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_125196]) ).
cnf(c_126037,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125165,c_125197]) ).
cnf(c_126038,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_126037]) ).
cnf(c_55,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1127) ).
cnf(c_1065,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_55]) ).
cnf(c_2036,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_1065]) ).
cnf(c_2609,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_2036]) ).
cnf(c_2637,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_2609]) ).
cnf(c_3244,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(copy,[status(esa)],[c_2637]) ).
cnf(c_35052,negated_conjecture,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_35050,c_3244]) ).
cnf(c_35065,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_35052]) ).
cnf(c_126052,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(resolution,[status(thm)],[c_126038,c_35065]) ).
cnf(c_126063,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_126052]) ).
cnf(c_126927,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ aq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126063,c_3384,c_3295,c_3448,c_34995,c_3346]) ).
cnf(c_126928,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_126927]) ).
cnf(c_126937,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_126928,c_3408]) ).
cnf(c_126938,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_126937]) ).
cnf(c_126945,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126938,c_3384]) ).
cnf(c_126946,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0)) ),
inference(rewriting,[status(thm)],[c_126945]) ).
cnf(c_100,negated_conjecture,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1172) ).
cnf(c_641,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_100,c_641]) ).
cnf(c_866,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_100,c_641]) ).
cnf(c_1155,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_866]) ).
cnf(c_2190,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1155]) ).
cnf(c_2455,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2190]) ).
cnf(c_2670,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2455]) ).
cnf(c_3310,negated_conjecture,
( rr(s(X0))
| ~ p(X0)
| q(X0)
| ~ r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2670]) ).
cnf(c_3311,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3310]) ).
cnf(c_127022,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_126946,c_3311]) ).
cnf(c_127035,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_127022]) ).
cnf(c_127028,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_126946,c_3386]) ).
cnf(c_127029,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_127028]) ).
cnf(c_127112,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127029,c_3295]) ).
cnf(c_127113,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_127112]) ).
cnf(c_127796,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127035,c_127113,c_3346]) ).
cnf(c_127797,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_127796]) ).
cnf(c_127869,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_127797,c_32632]) ).
cnf(c_127916,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_127869]) ).
cnf(c_32664,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_32632,c_3299]) ).
cnf(c_32675,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_32664]) ).
cnf(c_32975,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32675,c_3376]) ).
cnf(c_32976,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_32975]) ).
cnf(c_127989,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127916,c_32976]) ).
cnf(c_127990,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_127989]) ).
cnf(c_223069,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216954,c_127990,c_3242]) ).
cnf(c_223070,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_223069]) ).
cnf(c_223141,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_223070,c_3396]) ).
cnf(c_223142,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_223141]) ).
cnf(c_223210,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223142,c_3532]) ).
cnf(c_223211,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_223210]) ).
cnf(c_223274,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_223211,c_3392]) ).
cnf(c_223275,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_223274]) ).
cnf(c_223339,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223275,c_3532]) ).
cnf(c_223340,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_223339]) ).
cnf(c_133859,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_133814,c_3242]) ).
cnf(c_133864,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_133859]) ).
cnf(c_223342,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_223340,c_133864]) ).
cnf(c_223347,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_223342]) ).
cnf(c_223473,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_223347,c_3404]) ).
cnf(c_223474,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223473]) ).
cnf(c_223607,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_223474,c_3384]) ).
cnf(c_223608,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223607]) ).
cnf(c_223718,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223608,c_3538]) ).
cnf(c_223719,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223718]) ).
cnf(c_223785,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_223719,c_3302]) ).
cnf(c_223788,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223785]) ).
cnf(c_224906,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223788,c_194950,c_3241]) ).
cnf(c_224907,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_224906]) ).
cnf(c_106,negated_conjecture,
( pp(X0)
| r(X0)
| qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1178) ).
cnf(c_124,negated_conjecture,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1196) ).
cnf(c_600,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_124,c_600]) ).
cnf(c_860,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_106,c_600]) ).
cnf(c_1167,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_860]) ).
cnf(c_2173,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1167]) ).
cnf(c_2472,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2173]) ).
cnf(c_2650,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2472]) ).
cnf(c_3270,negated_conjecture,
( qq(s(X0))
| r(X0)
| pp(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2650]) ).
cnf(c_3271,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3270]) ).
cnf(c_156853,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_3271]) ).
cnf(c_156883,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156853]) ).
cnf(c_224930,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_224907,c_156883]) ).
cnf(c_225011,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_224930]) ).
cnf(c_225313,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225011,c_133866]) ).
cnf(c_225314,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_225313]) ).
cnf(c_225322,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_225314,c_3408]) ).
cnf(c_225323,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_225322]) ).
cnf(c_520057,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_225323,c_3396]) ).
cnf(c_520058,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_520057]) ).
cnf(c_520138,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_520058,c_3538]) ).
cnf(c_520139,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_520138]) ).
cnf(c_520195,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_520139,c_3392]) ).
cnf(c_520196,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_520195]) ).
cnf(c_520253,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_520196,c_3538]) ).
cnf(c_520254,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_520253]) ).
cnf(c_520297,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_520254,c_3541]) ).
cnf(c_520312,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_520297]) ).
cnf(c_598584,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598576,c_520312]) ).
cnf(c_598591,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_598584]) ).
cnf(c_598579,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598576,c_134912]) ).
cnf(c_598596,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_598579]) ).
cnf(c_600588,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598596,c_191763]) ).
cnf(c_600593,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_600588]) ).
cnf(c_27,negated_conjecture,
( ~ pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1099) ).
cnf(c_752,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_27,c_752]) ).
cnf(c_930,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_27,c_752]) ).
cnf(c_1009,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_930]) ).
cnf(c_2237,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1009]) ).
cnf(c_2408,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2237]) ).
cnf(c_2760,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2408]) ).
cnf(c_3490,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2760]) ).
cnf(c_3491,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3490]) ).
cnf(c_601291,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_600593,c_3491]) ).
cnf(c_601294,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_601291]) ).
cnf(c_601869,plain,
( ~ pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598591,c_601294]) ).
cnf(c_601873,plain,
( ~ pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_601869]) ).
cnf(c_603023,plain,
( ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_598595,c_601873]) ).
cnf(c_603024,plain,
( ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_603023]) ).
cnf(c_603043,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_603024,c_3402]) ).
cnf(c_603044,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_603043]) ).
cnf(c_156894,plain,
( pp(s(X0))
| r(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_156821,c_3408]) ).
cnf(c_156895,plain,
( pp(s(X0))
| r(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_156894]) ).
cnf(c_53064,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_53039,c_3313]) ).
cnf(c_53075,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_53064]) ).
cnf(c_96278,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53075,c_3680,c_3221]) ).
cnf(c_96279,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_96278]) ).
cnf(c_96353,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_96279,c_3257]) ).
cnf(c_96356,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_96353]) ).
cnf(c_96473,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_96356,c_3362]) ).
cnf(c_96474,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_96473]) ).
cnf(c_96518,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96474,c_3538]) ).
cnf(c_96519,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_96518]) ).
cnf(c_96526,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_96519,c_3232]) ).
cnf(c_96527,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_96526]) ).
cnf(c_96588,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_96527,c_3408]) ).
cnf(c_96589,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_96588]) ).
cnf(c_156902,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_96589]) ).
cnf(c_156930,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_156902]) ).
cnf(c_157864,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_156930,c_3413]) ).
cnf(c_157875,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_157864]) ).
cnf(c_214371,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157875,c_3668,c_3380]) ).
cnf(c_214372,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214371]) ).
cnf(c_214463,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_214372,c_3378]) ).
cnf(c_214464,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214463]) ).
cnf(c_1483,negated_conjecture,
( aq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_264]) ).
cnf(c_2144,negated_conjecture,
( aq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_1483]) ).
cnf(c_2501,negated_conjecture,
( aq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2144]) ).
cnf(c_2851,negated_conjecture,
( aq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2501]) ).
cnf(c_3672,negated_conjecture,
( aq(X0)
| ~ pqr1(X0) ),
inference(copy,[status(esa)],[c_2851]) ).
cnf(c_214556,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214464,c_3672]) ).
cnf(c_214557,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_214556]) ).
cnf(c_42,negated_conjecture,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1114) ).
cnf(c_728,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_42,c_728]) ).
cnf(c_918,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_42,c_728]) ).
cnf(c_1039,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_918]) ).
cnf(c_2225,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1039]) ).
cnf(c_2420,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2225]) ).
cnf(c_2724,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2420]) ).
cnf(c_3418,negated_conjecture,
( ~ pp(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2724]) ).
cnf(c_3419,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3418]) ).
cnf(c_214604,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_214557,c_3419]) ).
cnf(c_214613,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_214604]) ).
cnf(c_125139,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_125132,c_3232]) ).
cnf(c_125140,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_125139]) ).
cnf(c_125266,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_125140,c_3408]) ).
cnf(c_125267,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_125266]) ).
cnf(c_125362,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_125267,c_3386]) ).
cnf(c_125363,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_125362]) ).
cnf(c_125645,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125363,c_3520,c_3514,c_3536]) ).
cnf(c_125646,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_125645]) ).
cnf(c_125736,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_125646,c_3579]) ).
cnf(c_125749,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_125736]) ).
cnf(c_126078,plain,
( pp(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125749,c_3305]) ).
cnf(c_126079,plain,
( pp(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_126078]) ).
cnf(c_126125,plain,
( ~ r(X0)
| ~ qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_126079,c_3621]) ).
cnf(c_126132,plain,
( ~ r(X0)
| ~ qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_126125]) ).
cnf(c_126182,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_126132,c_51532]) ).
cnf(c_126185,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_126182]) ).
cnf(c_214661,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214613,c_3538,c_126185]) ).
cnf(c_214662,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_214661]) ).
cnf(c_214671,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_214662,c_3232]) ).
cnf(c_214672,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214671]) ).
cnf(c_214734,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_214672,c_3402]) ).
cnf(c_214735,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214734]) ).
cnf(c_214821,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_214735,c_3366]) ).
cnf(c_214822,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214821]) ).
cnf(c_214894,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214822,c_3668,c_3536,c_192481]) ).
cnf(c_214895,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214894]) ).
cnf(c_214985,plain,
( ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_214895,c_3378]) ).
cnf(c_214986,plain,
( ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214985]) ).
cnf(c_215077,plain,
( ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214986,c_3532]) ).
cnf(c_215078,plain,
( ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_215077]) ).
cnf(c_215142,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_215078,c_3392]) ).
cnf(c_215143,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_215142]) ).
cnf(c_215444,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215143,c_3524,c_3532]) ).
cnf(c_215445,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_215444]) ).
cnf(c_215469,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_215445,c_3398]) ).
cnf(c_215470,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_215469]) ).
cnf(c_1129,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_87]) ).
cnf(c_2041,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_1129]) ).
cnf(c_2604,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_2041]) ).
cnf(c_2658,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_2604]) ).
cnf(c_3286,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(copy,[status(esa)],[c_2658]) ).
cnf(c_5090,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(s(X0)) ),
inference(resolution,[status(thm)],[c_3286,c_3398]) ).
cnf(c_5091,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_5090]) ).
cnf(c_7070,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_5091,c_3216]) ).
cnf(c_7071,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_7070]) ).
cnf(c_245,negated_conjecture,
( q(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1317) ).
cnf(c_1445,negated_conjecture,
( q(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_245]) ).
cnf(c_2125,negated_conjecture,
( q(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_1445]) ).
cnf(c_2520,negated_conjecture,
( q(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2125]) ).
cnf(c_2817,negated_conjecture,
( q(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2520]) ).
cnf(c_3604,negated_conjecture,
( q(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2817]) ).
cnf(c_241,negated_conjecture,
( p(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1313) ).
cnf(c_1437,negated_conjecture,
( p(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_241]) ).
cnf(c_2121,negated_conjecture,
( p(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1437]) ).
cnf(c_2524,negated_conjecture,
( p(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2121]) ).
cnf(c_2811,negated_conjecture,
( p(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2524]) ).
cnf(c_3592,negated_conjecture,
( p(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2811]) ).
cnf(c_7543,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7071,c_3604,c_3592]) ).
cnf(c_7544,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_7543]) ).
cnf(c_7561,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_7544,c_3218]) ).
cnf(c_7562,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_7561]) ).
cnf(c_182,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1254) ).
cnf(c_1319,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_182]) ).
cnf(c_2062,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1319]) ).
cnf(c_2583,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2062]) ).
cnf(c_2726,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2583]) ).
cnf(c_3422,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2726]) ).
cnf(c_228,negated_conjecture,
( p(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1300) ).
cnf(c_1411,negated_conjecture,
( p(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_228]) ).
cnf(c_2108,negated_conjecture,
( p(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1411]) ).
cnf(c_2537,negated_conjecture,
( p(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2108]) ).
cnf(c_2792,negated_conjecture,
( p(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2537]) ).
cnf(c_3554,negated_conjecture,
( p(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2792]) ).
cnf(c_7581,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7562,c_3422,c_3554]) ).
cnf(c_7582,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_7581]) ).
cnf(c_43065,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_43062,c_7582]) ).
cnf(c_43071,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_43065]) ).
cnf(c_43912,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_43071,c_3216]) ).
cnf(c_43913,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_43912]) ).
cnf(c_44320,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_43913,c_3218]) ).
cnf(c_44321,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_44320]) ).
cnf(c_44357,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_44321,c_3408]) ).
cnf(c_44358,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_44357]) ).
cnf(c_44412,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_44358,c_3368]) ).
cnf(c_44413,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_44412]) ).
cnf(c_44454,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44413,c_3536]) ).
cnf(c_44455,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_44454]) ).
cnf(c_44500,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_44455,c_3323]) ).
cnf(c_44509,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_44500]) ).
cnf(c_197,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1269) ).
cnf(c_1349,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_197]) ).
cnf(c_2077,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_1349]) ).
cnf(c_2568,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2077]) ).
cnf(c_2749,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2568]) ).
cnf(c_3468,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2749]) ).
cnf(c_230,negated_conjecture,
( qq(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1302) ).
cnf(c_1415,negated_conjecture,
( qq(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_230]) ).
cnf(c_2110,negated_conjecture,
( qq(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1415]) ).
cnf(c_2535,negated_conjecture,
( qq(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2110]) ).
cnf(c_2795,negated_conjecture,
( qq(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2535]) ).
cnf(c_3560,negated_conjecture,
( qq(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2795]) ).
cnf(c_99893,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44509,c_3468,c_3592,c_3560,c_3554]) ).
cnf(c_99894,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_99893]) ).
cnf(c_99962,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_99894,c_3378]) ).
cnf(c_99963,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_99962]) ).
cnf(c_109,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1181) ).
cnf(c_132,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1204) ).
cnf(c_590,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_132,c_590]) ).
cnf(c_857,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_109,c_590]) ).
cnf(c_1173,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_857]) ).
cnf(c_2171,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1173]) ).
cnf(c_2474,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2171]) ).
cnf(c_2648,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2474]) ).
cnf(c_3266,plain,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2648]) ).
cnf(c_100257,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99963,c_3538,c_3374,c_3266]) ).
cnf(c_100258,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_100257]) ).
cnf(c_100277,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_100258,c_3216]) ).
cnf(c_100278,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_100277]) ).
cnf(c_102739,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_100278,c_3218]) ).
cnf(c_102740,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_102739]) ).
cnf(c_102777,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_102740,c_3402]) ).
cnf(c_102778,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_102777]) ).
cnf(c_102847,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_102778,c_3226]) ).
cnf(c_102850,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_102847]) ).
cnf(c_102901,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102850,c_3604,c_3592,c_3554,c_3208]) ).
cnf(c_102902,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_102901]) ).
cnf(c_102990,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_102902,c_3366]) ).
cnf(c_102991,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_102990]) ).
cnf(c_103079,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102991,c_3536]) ).
cnf(c_103080,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_103079]) ).
cnf(c_103148,plain,
( qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_103080,c_3378]) ).
cnf(c_103149,plain,
( qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_103148]) ).
cnf(c_103217,plain,
( qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103149,c_3532]) ).
cnf(c_103218,plain,
( qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_103217]) ).
cnf(c_103257,plain,
( qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_103218,c_3374]) ).
cnf(c_103258,plain,
( qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_103257]) ).
cnf(c_103671,plain,
( qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103258,c_3560,c_3532]) ).
cnf(c_103672,plain,
( qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_103671]) ).
cnf(c_215493,plain,
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215470,c_103672]) ).
cnf(c_215494,plain,
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_215493]) ).
cnf(c_215511,plain,
( q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_215494,c_3216]) ).
cnf(c_215512,plain,
( q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_215511]) ).
cnf(c_215654,plain,
( q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_215512,c_3218]) ).
cnf(c_215655,plain,
( q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_215654]) ).
cnf(c_215713,plain,
( q(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_215655,c_3404]) ).
cnf(c_215714,plain,
( q(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_215713]) ).
cnf(c_222806,plain,
( q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_215714,c_3366]) ).
cnf(c_222807,plain,
( q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_222806]) ).
cnf(c_222879,plain,
( q(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222807,c_3592,c_3554,c_3538]) ).
cnf(c_222880,plain,
( q(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_222879]) ).
cnf(c_222959,plain,
( ~ r(s(X0))
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_222880,c_61024]) ).
cnf(c_222990,plain,
( ~ r(s(X0))
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_222959]) ).
cnf(c_152910,plain,
( pp(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_152899,c_131876]) ).
cnf(c_152979,plain,
( pp(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_152910]) ).
cnf(c_153038,plain,
( pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_152979,c_3362]) ).
cnf(c_153039,plain,
( pp(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_153038]) ).
cnf(c_153088,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153039,c_3536,c_131953]) ).
cnf(c_153089,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_153088]) ).
cnf(c_153118,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_153089,c_3404]) ).
cnf(c_153119,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153118]) ).
cnf(c_153291,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_153119,c_3368]) ).
cnf(c_153292,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153291]) ).
cnf(c_153487,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153292,c_3532]) ).
cnf(c_153488,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153487]) ).
cnf(c_153582,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_153488,c_3366]) ).
cnf(c_153583,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153582]) ).
cnf(c_153678,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153583,c_3538]) ).
cnf(c_153679,plain,
( qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153678]) ).
cnf(c_153739,plain,
( r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_153679,c_3207]) ).
cnf(c_153744,plain,
( r(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153739]) ).
cnf(c_153804,plain,
( r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153744,c_3221]) ).
cnf(c_153805,plain,
( r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153804]) ).
cnf(c_48186,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_48184,c_31099]) ).
cnf(c_48194,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48186]) ).
cnf(c_50174,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48194,c_48243]) ).
cnf(c_50175,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_50174]) ).
cnf(c_50184,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_50175,c_3214]) ).
cnf(c_50185,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50184]) ).
cnf(c_50247,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_50185,c_3218]) ).
cnf(c_50248,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50247]) ).
cnf(c_50298,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_50248,c_3404]) ).
cnf(c_50299,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50298]) ).
cnf(c_50374,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_50299,c_3384]) ).
cnf(c_50375,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50374]) ).
cnf(c_50423,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50375,c_3500,c_3426,c_3538]) ).
cnf(c_50424,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50423]) ).
cnf(c_50448,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_50424,c_3315]) ).
cnf(c_50461,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50448]) ).
cnf(c_41970,plain,
( ~ pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41945,c_3496]) ).
cnf(c_41977,plain,
( ~ pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41970]) ).
cnf(c_42465,plain,
( ~ pp(X0)
| r(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41977,c_3522]) ).
cnf(c_42478,plain,
( ~ pp(X0)
| r(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42465]) ).
cnf(c_41969,plain,
( pp(X0)
| r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41945,c_3534]) ).
cnf(c_41978,plain,
( pp(X0)
| r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41969]) ).
cnf(c_42003,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41978,c_3331]) ).
cnf(c_42004,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42003]) ).
cnf(c_42016,plain,
( pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_42004,c_32762]) ).
cnf(c_42047,plain,
( pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42016]) ).
cnf(c_42555,plain,
( pp(X0)
| r(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42047,c_42435]) ).
cnf(c_42556,plain,
( pp(X0)
| r(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42555]) ).
cnf(c_42613,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42478,c_42556]) ).
cnf(c_42614,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42613]) ).
cnf(c_92923,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50461,c_3552,c_42614]) ).
cnf(c_92924,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_92923]) ).
cnf(c_92971,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_92924,c_3372]) ).
cnf(c_92972,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_92971]) ).
cnf(c_93020,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92972,c_3532]) ).
cnf(c_93021,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_93020]) ).
cnf(c_93031,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_93021,c_3504]) ).
cnf(c_93040,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_93031]) ).
cnf(c_50065,plain,
( r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_50027,c_3299]) ).
cnf(c_50076,plain,
( r(X0)
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_50065]) ).
cnf(c_50484,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50076,c_3302]) ).
cnf(c_50485,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_50484]) ).
cnf(c_66347,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_66331,c_50485]) ).
cnf(c_66392,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_66347]) ).
cnf(c_67008,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_66392,c_3362]) ).
cnf(c_67009,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_67008]) ).
cnf(c_67175,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67009,c_3538]) ).
cnf(c_67176,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_67175]) ).
cnf(c_67190,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_67176,c_3546]) ).
cnf(c_67191,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_67190]) ).
cnf(c_67205,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67191,c_3538]) ).
cnf(c_67206,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_67205]) ).
cnf(c_51469,plain,
( r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_51460,c_50485]) ).
cnf(c_51520,plain,
( r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_51469]) ).
cnf(c_32,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1104) ).
cnf(c_742,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_32,c_742]) ).
cnf(c_925,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_32,c_742]) ).
cnf(c_1019,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_925]) ).
cnf(c_2232,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1019]) ).
cnf(c_2413,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2232]) ).
cnf(c_2745,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2413]) ).
cnf(c_3460,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2745]) ).
cnf(c_52195,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_51520,c_3460]) ).
cnf(c_52204,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_52195]) ).
cnf(c_178,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1250) ).
cnf(c_1311,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_178]) ).
cnf(c_2058,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1311]) ).
cnf(c_2587,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2058]) ).
cnf(c_2720,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2587]) ).
cnf(c_3410,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2720]) ).
cnf(c_52504,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52204,c_3410]) ).
cnf(c_52505,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_52504]) ).
cnf(c_67208,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67206,c_52505]) ).
cnf(c_67216,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_67208]) ).
cnf(c_93106,plain,
( r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93040,c_67216]) ).
cnf(c_93107,plain,
( r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_93106]) ).
cnf(c_93118,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_93107,c_3214]) ).
cnf(c_93119,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_93118]) ).
cnf(c_50445,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_50424,c_3529]) ).
cnf(c_50464,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_50445]) ).
cnf(c_212,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1284) ).
cnf(c_1379,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_212]) ).
cnf(c_2092,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1379]) ).
cnf(c_2553,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2092]) ).
cnf(c_2770,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2553]) ).
cnf(c_3510,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2770]) ).
cnf(c_59999,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50464,c_3510,c_3548,c_52346]) ).
cnf(c_60000,plain,
( ~ pp(X0)
| r(s(X0))
| qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_59999]) ).
cnf(c_60031,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_60000,c_3556]) ).
cnf(c_60034,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_60031]) ).
cnf(c_62390,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_60034,c_3214]) ).
cnf(c_62391,plain,
( ~ pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_62390]) ).
cnf(c_93168,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_93119,c_62391]) ).
cnf(c_93175,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_93168]) ).
cnf(c_32047,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_32011,c_3299]) ).
cnf(c_32058,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_32047]) ).
cnf(c_68080,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67216,c_46687]) ).
cnf(c_68084,plain,
( pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_68080]) ).
cnf(c_81785,plain,
( pp(s(X0))
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32058,c_3426,c_66331,c_68084,c_3317]) ).
cnf(c_81786,plain,
( pp(s(X0))
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_81785]) ).
cnf(c_81829,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_81786,c_3362]) ).
cnf(c_81830,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_81829]) ).
cnf(c_81874,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81830,c_3538]) ).
cnf(c_81875,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_81874]) ).
cnf(c_81890,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_81875,c_3546]) ).
cnf(c_81891,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_81890]) ).
cnf(c_81906,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81891,c_3538]) ).
cnf(c_81907,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_81906]) ).
cnf(c_81917,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_81907,c_3214]) ).
cnf(c_81918,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_81917]) ).
cnf(c_93859,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_93175,c_81918]) ).
cnf(c_93867,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_93859]) ).
cnf(c_94077,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_93867,c_3218]) ).
cnf(c_94078,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_94077]) ).
cnf(c_153814,plain,
( r(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_153805,c_94078]) ).
cnf(c_153828,plain,
( r(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_153814]) ).
cnf(c_155449,plain,
( r(s(X0))
| rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_153828,c_3544]) ).
cnf(c_155450,plain,
( r(s(X0))
| rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_155449]) ).
cnf(c_67228,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_67206,c_3218]) ).
cnf(c_67229,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_67228]) ).
cnf(c_67259,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_67229,c_3408]) ).
cnf(c_67260,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_67259]) ).
cnf(c_156914,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_67260]) ).
cnf(c_156936,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_156914]) ).
cnf(c_159808,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_156936,c_3396]) ).
cnf(c_159809,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_159808]) ).
cnf(c_159875,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159809,c_3420,c_3538]) ).
cnf(c_159876,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_159875]) ).
cnf(c_159923,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_159876,c_3372]) ).
cnf(c_159924,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_159923]) ).
cnf(c_173390,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159924,c_3536]) ).
cnf(c_173391,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_173390]) ).
cnf(c_173433,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_173391,c_3491]) ).
cnf(c_173448,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_173433]) ).
cnf(c_173492,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173448,c_3410]) ).
cnf(c_173493,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_173492]) ).
cnf(c_173509,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_173493,c_3218]) ).
cnf(c_173510,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_173509]) ).
cnf(c_173541,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_173510,c_3402]) ).
cnf(c_173542,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_173541]) ).
cnf(c_173996,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_173542,c_3384]) ).
cnf(c_173997,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_173996]) ).
cnf(c_174087,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173997,c_3426,c_3536]) ).
cnf(c_174088,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_174087]) ).
cnf(c_174153,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_174088,c_3396]) ).
cnf(c_174154,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_174153]) ).
cnf(c_174220,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174154,c_3532,c_51154,c_3242,c_65991]) ).
cnf(c_174221,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_174220]) ).
cnf(c_174233,plain,
( ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_174221,c_3546]) ).
cnf(c_174234,plain,
( ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_174233]) ).
cnf(c_174246,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174234,c_3536]) ).
cnf(c_174247,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_174246]) ).
cnf(c_174272,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_174247,c_3218]) ).
cnf(c_174273,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_174272]) ).
cnf(c_174289,plain,
( r(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174273,c_50248]) ).
cnf(c_174298,plain,
( r(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_174289]) ).
cnf(c_252494,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_155450,c_174298]) ).
cnf(c_252559,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_252494]) ).
cnf(c_59012,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_58985,c_3313]) ).
cnf(c_59023,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_59012]) ).
cnf(c_98093,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59023,c_3616,c_3221]) ).
cnf(c_98094,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_98093]) ).
cnf(c_98169,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_98094,c_3257]) ).
cnf(c_98172,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_98169]) ).
cnf(c_98291,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_98172,c_3362]) ).
cnf(c_98292,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_98291]) ).
cnf(c_98337,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98292,c_3538]) ).
cnf(c_98338,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_98337]) ).
cnf(c_98360,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_98338,c_3234]) ).
cnf(c_98361,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_98360]) ).
cnf(c_101922,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_98361,c_3408]) ).
cnf(c_101923,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_101922]) ).
cnf(c_156908,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_101923]) ).
cnf(c_156924,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_156908]) ).
cnf(c_157700,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_156924,c_3413]) ).
cnf(c_157711,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_157700]) ).
cnf(c_1359,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_202]) ).
cnf(c_2082,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1359]) ).
cnf(c_2563,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2082]) ).
cnf(c_2756,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2563]) ).
cnf(c_3482,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2756]) ).
cnf(c_199,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1271) ).
cnf(c_1353,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_199]) ).
cnf(c_2079,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1353]) ).
cnf(c_2566,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2079]) ).
cnf(c_2752,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2566]) ).
cnf(c_3474,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2752]) ).
cnf(c_212418,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157711,c_3482,c_3474,c_3380]) ).
cnf(c_212419,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_212418]) ).
cnf(c_212509,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_212419,c_3378]) ).
cnf(c_212510,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_212509]) ).
cnf(c_212647,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_212510,c_3419]) ).
cnf(c_212656,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_212647]) ).
cnf(c_212704,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212656,c_3538]) ).
cnf(c_212705,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_212704]) ).
cnf(c_212725,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_212705,c_3234]) ).
cnf(c_212726,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_212725]) ).
cnf(c_212776,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_212726,c_3402]) ).
cnf(c_212777,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_212776]) ).
cnf(c_212865,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_212777,c_3366]) ).
cnf(c_212866,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_212865]) ).
cnf(c_212939,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212866,c_3622,c_3536,c_192481]) ).
cnf(c_212940,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_212939]) ).
cnf(c_213031,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_212940,c_3378]) ).
cnf(c_213032,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_213031]) ).
cnf(c_213124,plain,
( ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213032,c_3616,c_3532,c_58578]) ).
cnf(c_213125,plain,
( ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_213124]) ).
cnf(c_213190,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_213125,c_3392]) ).
cnf(c_213191,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_213190]) ).
cnf(c_213255,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213191,c_3532]) ).
cnf(c_213256,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_213255]) ).
cnf(c_213273,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_213256,c_4283]) ).
cnf(c_213276,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_213273]) ).
cnf(c_159893,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_159876,c_122125]) ).
cnf(c_159954,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_159893]) ).
cnf(c_170973,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159954,c_3414]) ).
cnf(c_170974,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_170973]) ).
cnf(c_171019,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_170974,c_3621]) ).
cnf(c_171026,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_171019]) ).
cnf(c_171087,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_171026,c_3218]) ).
cnf(c_171088,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_171087]) ).
cnf(c_171269,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_171088,c_3402]) ).
cnf(c_171270,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_171269]) ).
cnf(c_115,negated_conjecture,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1187) ).
cnf(c_616,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_115,c_616]) ).
cnf(c_851,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_115,c_616]) ).
cnf(c_1185,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_851]) ).
cnf(c_2180,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1185]) ).
cnf(c_2465,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2180]) ).
cnf(c_2660,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2465]) ).
cnf(c_3290,negated_conjecture,
( rr(s(X0))
| p(X0)
| ~ q(X0)
| r(X0)
| pp(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2660]) ).
cnf(c_3291,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3290]) ).
cnf(c_171390,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_171270,c_3291]) ).
cnf(c_171399,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_171390]) ).
cnf(c_46475,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46465,c_3232]) ).
cnf(c_46476,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46475]) ).
cnf(c_46598,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46476,c_3402]) ).
cnf(c_46599,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46598]) ).
cnf(c_46,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1118) ).
cnf(c_720,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_46,c_720]) ).
cnf(c_914,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_46,c_720]) ).
cnf(c_1047,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_914]) ).
cnf(c_2221,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1047]) ).
cnf(c_2424,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2221]) ).
cnf(c_2712,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2424]) ).
cnf(c_3394,negated_conjecture,
( r(X0)
| ~ pp(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2712]) ).
cnf(c_3395,plain,
( ~ pp(X0)
| r(X0)
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3394]) ).
cnf(c_46644,plain,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46599,c_3395]) ).
cnf(c_46653,plain,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46644]) ).
cnf(c_18,negated_conjecture,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1090) ).
cnf(c_772,negated_conjecture,
( rr(X0)
| ~ rr(s(X0))
| p(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_18,c_772]) ).
cnf(c_774,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_772,c_774]) ).
cnf(c_1529,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(copy,[status(esa)],[c_774]) ).
cnf(c_2245,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(copy,[status(esa)],[c_1529]) ).
cnf(c_2400,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(copy,[status(esa)],[c_2245]) ).
cnf(c_2790,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(copy,[status(esa)],[c_2400]) ).
cnf(c_3550,negated_conjecture,
( ~ rr(s(X0))
| rr(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(copy,[status(esa)],[c_2790]) ).
cnf(c_3551,plain,
( ~ pp(X0)
| ~ qq(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(rewriting,[status(thm)],[c_3550]) ).
cnf(c_46645,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46599,c_3551]) ).
cnf(c_46652,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46645]) ).
cnf(c_71664,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46652,c_3524,c_3518]) ).
cnf(c_71665,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_71664]) ).
cnf(c_71729,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_71665,c_3366]) ).
cnf(c_71730,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_71729]) ).
cnf(c_72126,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71730,c_3536,c_3335]) ).
cnf(c_72127,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_72126]) ).
cnf(c_72164,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_72127,c_3396]) ).
cnf(c_72165,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_72164]) ).
cnf(c_72203,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72165,c_3532,c_3208]) ).
cnf(c_72204,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_72203]) ).
cnf(c_77025,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46653,c_3668,c_72204,c_3305]) ).
cnf(c_77026,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_77025]) ).
cnf(c_77091,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_77026,c_3366]) ).
cnf(c_77092,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_77091]) ).
cnf(c_77157,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77092,c_3536]) ).
cnf(c_77158,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_77157]) ).
cnf(c_77196,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_77158,c_3396]) ).
cnf(c_77197,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_77196]) ).
cnf(c_77236,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77197,c_3532,c_3208]) ).
cnf(c_77237,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_77236]) ).
cnf(c_77266,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_77237,c_25905]) ).
cnf(c_77295,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_77266]) ).
cnf(c_77326,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77295,c_3526,c_3532]) ).
cnf(c_77327,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_77326]) ).
cnf(c_77348,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_77327,c_3398]) ).
cnf(c_77349,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_77348]) ).
cnf(c_21436,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21422,c_3234]) ).
cnf(c_21437,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21436]) ).
cnf(c_21465,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21437,c_3402]) ).
cnf(c_21466,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21465]) ).
cnf(c_21500,plain,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21466,c_3395]) ).
cnf(c_21509,plain,
( ~ pp(X0)
| r(s(X0))
| r(X0)
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21500]) ).
cnf(c_21501,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_21466,c_3551]) ).
cnf(c_21508,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_21501]) ).
cnf(c_63402,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21508,c_3482,c_3474]) ).
cnf(c_63403,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_63402]) ).
cnf(c_63462,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_63403,c_3366]) ).
cnf(c_63463,plain,
( ~ pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_63462]) ).
cnf(c_63589,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63463,c_3536,c_3335]) ).
cnf(c_63590,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_63589]) ).
cnf(c_63628,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_63590,c_3396]) ).
cnf(c_63629,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_63628]) ).
cnf(c_63668,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63629,c_3532,c_3208]) ).
cnf(c_63669,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_63668]) ).
cnf(c_76631,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21509,c_3482,c_3474,c_63669,c_3305]) ).
cnf(c_76632,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76631]) ).
cnf(c_76696,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_76632,c_3366]) ).
cnf(c_76697,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76696]) ).
cnf(c_76761,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76697,c_3536]) ).
cnf(c_76762,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76761]) ).
cnf(c_76799,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_76762,c_3396]) ).
cnf(c_76800,plain,
( ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76799]) ).
cnf(c_76838,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76800,c_3532,c_3208]) ).
cnf(c_76839,plain,
( ~ pp(X0)
| r(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76838]) ).
cnf(c_76876,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_76839,c_3353]) ).
cnf(c_76887,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76876]) ).
cnf(c_63695,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_63669,c_3541]) ).
cnf(c_63710,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_63695]) ).
cnf(c_67124,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63710,c_19341]) ).
cnf(c_67125,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_67124]) ).
cnf(c_76926,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76887,c_67125]) ).
cnf(c_76927,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_76926]) ).
cnf(c_77369,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77349,c_76927]) ).
cnf(c_77370,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_77369]) ).
cnf(c_171459,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171399,c_3420,c_3554,c_77370]) ).
cnf(c_171460,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_171459]) ).
cnf(c_171525,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_171460,c_3396]) ).
cnf(c_171526,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_171525]) ).
cnf(c_171591,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171526,c_3532]) ).
cnf(c_171592,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_171591]) ).
cnf(c_66429,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_66410,c_3218]) ).
cnf(c_66430,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_66429]) ).
cnf(c_66459,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_66430,c_3408]) ).
cnf(c_66460,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_66459]) ).
cnf(c_66538,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_66460,c_3386]) ).
cnf(c_66539,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_66538]) ).
cnf(c_66610,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66539,c_3428,c_3414,c_3536]) ).
cnf(c_66611,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_66610]) ).
cnf(c_66651,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_66611,c_3337]) ).
cnf(c_66668,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_66651]) ).
cnf(c_74241,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_66668,c_3374]) ).
cnf(c_74242,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_74241]) ).
cnf(c_74360,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74242,c_3538]) ).
cnf(c_74361,plain,
( pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_74360]) ).
cnf(c_74402,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_74361,c_3372]) ).
cnf(c_74403,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_74402]) ).
cnf(c_74444,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74403,c_3536]) ).
cnf(c_74445,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_74444]) ).
cnf(c_74463,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_74445,c_3218]) ).
cnf(c_74464,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_74463]) ).
cnf(c_74601,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_74464,c_3402]) ).
cnf(c_74602,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_74601]) ).
cnf(c_74678,plain,
( pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_74602,c_3291]) ).
cnf(c_74689,plain,
( pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_74678]) ).
cnf(c_43082,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_43062,c_3218]) ).
cnf(c_43083,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_43082]) ).
cnf(c_43300,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_43083,c_3408]) ).
cnf(c_43301,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_43300]) ).
cnf(c_43347,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_43301,c_3368]) ).
cnf(c_43348,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_43347]) ).
cnf(c_43385,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43348,c_3536]) ).
cnf(c_43386,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_43385]) ).
cnf(c_43423,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_43386,c_3607]) ).
cnf(c_43442,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_43423]) ).
cnf(c_71490,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ q(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43442,c_3420,c_3362,c_50888]) ).
cnf(c_71491,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ q(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_71490]) ).
cnf(c_71525,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_71491,c_3319]) ).
cnf(c_71534,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_71525]) ).
cnf(c_54625,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_54599,c_3319]) ).
cnf(c_54634,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_54625]) ).
cnf(c_71793,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71534,c_54634]) ).
cnf(c_71794,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_71793]) ).
cnf(c_75944,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74689,c_3420,c_66148,c_3319,c_71794]) ).
cnf(c_75945,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_75944]) ).
cnf(c_171637,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_171592,c_75945]) ).
cnf(c_171686,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_171637]) ).
cnf(c_172694,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171686,c_3554,c_77370]) ).
cnf(c_172695,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_172694]) ).
cnf(c_172713,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_172695,c_3218]) ).
cnf(c_172714,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_172713]) ).
cnf(c_174292,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174273,c_172714]) ).
cnf(c_174299,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_174292]) ).
cnf(c_174371,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_174299,c_3404]) ).
cnf(c_174372,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_174371]) ).
cnf(c_175486,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_174372,c_3207]) ).
cnf(c_175491,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_175486]) ).
cnf(c_231,negated_conjecture,
( r(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1303) ).
cnf(c_1417,negated_conjecture,
( r(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_231]) ).
cnf(c_2111,negated_conjecture,
( r(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1417]) ).
cnf(c_2534,negated_conjecture,
( r(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2111]) ).
cnf(c_2797,negated_conjecture,
( r(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2534]) ).
cnf(c_3564,negated_conjecture,
( r(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2797]) ).
cnf(c_61060,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_61024,c_3207]) ).
cnf(c_61065,plain,
( ~ r(s(X0))
| r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61060]) ).
cnf(c_61206,plain,
( ~ r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61065,c_3221]) ).
cnf(c_61207,plain,
( ~ r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61206]) ).
cnf(c_175822,plain,
( r(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175491,c_3564,c_3554,c_61207]) ).
cnf(c_175823,plain,
( r(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_175822]) ).
cnf(c_175835,plain,
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175823,c_66410]) ).
cnf(c_175838,plain,
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_175835]) ).
cnf(c_156848,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_67206]) ).
cnf(c_156888,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_156848]) ).
cnf(c_160647,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156888,c_50546]) ).
cnf(c_160652,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_160647]) ).
cnf(c_176709,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175838,c_160652]) ).
cnf(c_176712,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_176709]) ).
cnf(c_175833,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175823,c_67216]) ).
cnf(c_175840,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_175833]) ).
cnf(c_176916,plain,
( r(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176712,c_175840]) ).
cnf(c_176917,plain,
( r(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_176916]) ).
cnf(c_176936,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_176917,c_3218]) ).
cnf(c_176937,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_176936]) ).
cnf(c_176960,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_176937,c_3408]) ).
cnf(c_176961,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_176960]) ).
cnf(c_177029,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_176961,c_3396]) ).
cnf(c_177030,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_177029]) ).
cnf(c_177093,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177030,c_3420,c_3538]) ).
cnf(c_177094,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_177093]) ).
cnf(c_177106,plain,
( ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_177094,c_122125]) ).
cnf(c_177157,plain,
( ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_177106]) ).
cnf(c_177435,plain,
( ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177157,c_3414]) ).
cnf(c_177436,plain,
( ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_177435]) ).
cnf(c_177455,plain,
( ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_177436,c_3218]) ).
cnf(c_177456,plain,
( ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_177455]) ).
cnf(c_177747,plain,
( ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_177456,c_3402]) ).
cnf(c_177748,plain,
( ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_177747]) ).
cnf(c_177759,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_177748,c_50996]) ).
cnf(c_177764,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_177759]) ).
cnf(c_178213,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_177764,c_3396]) ).
cnf(c_178214,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_178213]) ).
cnf(c_178277,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178214,c_3420,c_3532]) ).
cnf(c_178278,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_178277]) ).
cnf(c_192493,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_192481,c_178278]) ).
cnf(c_192608,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_192493]) ).
cnf(c_194017,plain,
( r(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192608,c_3554,c_3208]) ).
cnf(c_194018,plain,
( r(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_194017]) ).
cnf(c_61055,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_61024,c_3328]) ).
cnf(c_61070,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61055]) ).
cnf(c_61135,plain,
( pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61070,c_3359]) ).
cnf(c_61136,plain,
( pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61135]) ).
cnf(c_61149,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_61136,c_53103]) ).
cnf(c_61184,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_61149]) ).
cnf(c_81210,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61184,c_62212,c_62273]) ).
cnf(c_81211,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_81210]) ).
cnf(c_52039,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_52019,c_3398]) ).
cnf(c_52040,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_52039]) ).
cnf(c_58764,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58756,c_52040]) ).
cnf(c_58766,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_58764]) ).
cnf(c_59180,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_58766,c_3218]) ).
cnf(c_59181,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_59180]) ).
cnf(c_59332,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_59181,c_3404]) ).
cnf(c_59333,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_59332]) ).
cnf(c_59416,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_59333,c_3366]) ).
cnf(c_59417,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_59416]) ).
cnf(c_59476,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59417,c_3554,c_3538]) ).
cnf(c_59477,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_59476]) ).
cnf(c_58,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1130) ).
cnf(c_1071,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_2037,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_1071]) ).
cnf(c_2608,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_2037]) ).
cnf(c_2639,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_2608]) ).
cnf(c_3248,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(copy,[status(esa)],[c_2639]) ).
cnf(c_6631,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_4283,c_3248]) ).
cnf(c_6636,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_6631]) ).
cnf(c_206,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1278) ).
cnf(c_1367,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_206]) ).
cnf(c_2086,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1367]) ).
cnf(c_2559,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2086]) ).
cnf(c_2762,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2559]) ).
cnf(c_3494,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2762]) ).
cnf(c_7619,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6636,c_3648,c_3494]) ).
cnf(c_7620,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_7619]) ).
cnf(c_7637,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_7620,c_3218]) ).
cnf(c_7638,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_7637]) ).
cnf(c_7657,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7638,c_3420,c_3554]) ).
cnf(c_7658,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_7657]) ).
cnf(c_7670,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_7658,c_3214]) ).
cnf(c_7671,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_7670]) ).
cnf(c_8303,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_7671,c_3218]) ).
cnf(c_8304,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_8303]) ).
cnf(c_15956,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_8304,c_3404]) ).
cnf(c_15957,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_15956]) ).
cnf(c_18815,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_15957,c_3368]) ).
cnf(c_18816,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_18815]) ).
cnf(c_19712,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18816,c_3648,c_3632,c_3532]) ).
cnf(c_19713,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_19712]) ).
cnf(c_19743,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_19713,c_3366]) ).
cnf(c_19744,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_19743]) ).
cnf(c_19775,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19744,c_3554,c_3538]) ).
cnf(c_19776,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_19775]) ).
cnf(c_59481,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59477,c_19776]) ).
cnf(c_59486,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_59481]) ).
cnf(c_62886,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_59486,c_3277]) ).
cnf(c_62903,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_62886]) ).
cnf(c_75750,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62903,c_3420,c_61207]) ).
cnf(c_75751,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_75750]) ).
cnf(c_81217,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81211,c_75751]) ).
cnf(c_81219,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_81217]) ).
cnf(c_82016,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_81219,c_3390]) ).
cnf(c_82017,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_82016]) ).
cnf(c_148935,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82017,c_3532]) ).
cnf(c_148936,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_148935]) ).
cnf(c_148985,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_148936,c_3362]) ).
cnf(c_148986,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_148985]) ).
cnf(c_7669,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(resolution,[status(thm)],[c_7658,c_3286]) ).
cnf(c_7672,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_7669]) ).
cnf(c_38297,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ rq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7672,c_3378,c_3404,c_3295,c_3221,c_3281,c_3313]) ).
cnf(c_38298,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_38297]) ).
cnf(c_38319,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_38298,c_3218]) ).
cnf(c_38320,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_38319]) ).
cnf(c_38343,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38320,c_3560,c_3548]) ).
cnf(c_38344,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_38343]) ).
cnf(c_38380,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_38344,c_3226]) ).
cnf(c_38383,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_38380]) ).
cnf(c_38381,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_38344,c_3368]) ).
cnf(c_38382,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_38381]) ).
cnf(c_38573,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38383,c_38382,c_3295]) ).
cnf(c_38574,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_38573]) ).
cnf(c_38615,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_38574,c_3323]) ).
cnf(c_38624,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_38615]) ).
cnf(c_53,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1125) ).
cnf(c_67,negated_conjecture,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1139) ).
cnf(c_691,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_67,c_691]) ).
cnf(c_907,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_53,c_691]) ).
cnf(c_1061,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_907]) ).
cnf(c_2210,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_1061]) ).
cnf(c_2435,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2210]) ).
cnf(c_2690,negated_conjecture,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2435]) ).
cnf(c_3350,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(copy,[status(esa)],[c_2690]) ).
cnf(c_55279,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38624,c_3513,c_3315,c_3350]) ).
cnf(c_55280,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| q(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_55279]) ).
cnf(c_59489,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_59477,c_55280]) ).
cnf(c_59532,plain,
( pp(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_59489]) ).
cnf(c_79484,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59532,c_3221]) ).
cnf(c_79485,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_79484]) ).
cnf(c_79551,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_79485,c_3257]) ).
cnf(c_79554,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_79551]) ).
cnf(c_79663,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_79554,c_3362]) ).
cnf(c_79664,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_79663]) ).
cnf(c_79707,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79664,c_3538]) ).
cnf(c_79708,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_79707]) ).
cnf(c_229,negated_conjecture,
( ap(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1301) ).
cnf(c_1413,negated_conjecture,
( ap(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_229]) ).
cnf(c_2109,negated_conjecture,
( ap(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_1413]) ).
cnf(c_2536,negated_conjecture,
( ap(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2109]) ).
cnf(c_2794,negated_conjecture,
( ap(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2536]) ).
cnf(c_3558,negated_conjecture,
( ap(X0)
| ~ rpq3(X0) ),
inference(copy,[status(esa)],[c_2794]) ).
cnf(c_79722,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_79708,c_3558]) ).
cnf(c_79723,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_79722]) ).
cnf(c_79737,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79723,c_3538]) ).
cnf(c_79738,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_79737]) ).
cnf(c_149036,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148986,c_3538,c_79738]) ).
cnf(c_149037,plain,
( pp(X0)
| ~ r(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_149036]) ).
cnf(c_149046,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_149037,c_3214]) ).
cnf(c_149047,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_149046]) ).
cnf(c_149112,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_149047,c_3218]) ).
cnf(c_149113,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_149112]) ).
cnf(c_149146,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_149113,c_3408]) ).
cnf(c_149147,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_149146]) ).
cnf(c_149249,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_149147,c_3251]) ).
cnf(c_149264,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_149249]) ).
cnf(c_211,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1283) ).
cnf(c_1377,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_211]) ).
cnf(c_2091,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1377]) ).
cnf(c_2554,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2091]) ).
cnf(c_2769,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2554]) ).
cnf(c_3508,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2769]) ).
cnf(c_180,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1252) ).
cnf(c_1315,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_180]) ).
cnf(c_2060,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_1315]) ).
cnf(c_2585,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2060]) ).
cnf(c_2723,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2585]) ).
cnf(c_3416,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
inference(copy,[status(esa)],[c_2723]) ).
cnf(c_149457,plain,
( ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149264,c_3508,c_3420,c_3416,c_3253]) ).
cnf(c_149458,plain,
( ~ r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_149457]) ).
cnf(c_149522,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_149458,c_3390]) ).
cnf(c_149523,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_149522]) ).
cnf(c_151911,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149523,c_3536]) ).
cnf(c_151912,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_151911]) ).
cnf(c_253,negated_conjecture,
( aq(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1325) ).
cnf(c_1461,negated_conjecture,
( aq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_253]) ).
cnf(c_2133,negated_conjecture,
( aq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1461]) ).
cnf(c_2512,negated_conjecture,
( aq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2133]) ).
cnf(c_2829,negated_conjecture,
( aq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2512]) ).
cnf(c_3628,negated_conjecture,
( aq(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2829]) ).
cnf(c_151925,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_151912,c_3628]) ).
cnf(c_151926,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_151925]) ).
cnf(c_151939,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151926,c_3538]) ).
cnf(c_151940,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_151939]) ).
cnf(c_151948,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_151940,c_3214]) ).
cnf(c_151949,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_151948]) ).
cnf(c_152157,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_151949,c_3218]) ).
cnf(c_152158,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_152157]) ).
cnf(c_152191,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_152158,c_3402]) ).
cnf(c_152192,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_152191]) ).
cnf(c_152270,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_152192,c_3396]) ).
cnf(c_152271,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_152270]) ).
cnf(c_152338,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152271,c_3508,c_3420,c_3532]) ).
cnf(c_152339,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_152338]) ).
cnf(c_194035,plain,
( ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_194018,c_152339]) ).
cnf(c_194094,plain,
( ~ q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_194035]) ).
cnf(c_200534,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194094,c_174247]) ).
cnf(c_200535,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_200534]) ).
cnf(c_200548,plain,
( ~ q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_200535,c_3628]) ).
cnf(c_200549,plain,
( ~ q(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_200548]) ).
cnf(c_200695,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200549,c_3532]) ).
cnf(c_200696,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_200695]) ).
cnf(c_200710,plain,
( ~ q(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_200696,c_3546]) ).
cnf(c_200711,plain,
( ~ q(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_200710]) ).
cnf(c_200723,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200711,c_3536]) ).
cnf(c_200724,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_200723]) ).
cnf(c_200737,plain,
( ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_200724,c_3214]) ).
cnf(c_200738,plain,
( ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_200737]) ).
cnf(c_239289,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213276,c_200738]) ).
cnf(c_239290,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_239289]) ).
cnf(c_239306,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_239290,c_3218]) ).
cnf(c_239307,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_239306]) ).
cnf(c_240964,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_239307,c_3404]) ).
cnf(c_240965,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_240964]) ).
cnf(c_243734,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_240965,c_3366]) ).
cnf(c_243735,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_243734]) ).
cnf(c_259,negated_conjecture,
( p(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1331) ).
cnf(c_1473,negated_conjecture,
( p(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_259]) ).
cnf(c_2139,negated_conjecture,
( p(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1473]) ).
cnf(c_2506,negated_conjecture,
( p(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2139]) ).
cnf(c_2841,negated_conjecture,
( p(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2506]) ).
cnf(c_3652,negated_conjecture,
( p(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2841]) ).
cnf(c_243812,plain,
( ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243735,c_3652,c_3554,c_3538]) ).
cnf(c_243813,plain,
( ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_243812]) ).
cnf(c_243857,plain,
( ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_243813,c_124555]) ).
cnf(c_243908,plain,
( ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_243857]) ).
cnf(c_243953,plain,
( ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243908,c_3420,c_175823]) ).
cnf(c_243954,plain,
( ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_243953]) ).
cnf(c_243966,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_243954,c_3632]) ).
cnf(c_243969,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_243966]) ).
cnf(c_176958,plain,
( r(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_176937,c_3544]) ).
cnf(c_176959,plain,
( r(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_176958]) ).
cnf(c_188623,plain,
( r(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176959,c_174299]) ).
cnf(c_188624,plain,
( r(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_188623]) ).
cnf(c_177131,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_177094,c_3372]) ).
cnf(c_177132,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_177131]) ).
cnf(c_174255,plain,
( r(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174247,c_172695]) ).
cnf(c_174263,plain,
( r(X0)
| ~ q(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_174255]) ).
cnf(c_177501,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177132,c_174263]) ).
cnf(c_177502,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_177501]) ).
cnf(c_177510,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_177502,c_3410]) ).
cnf(c_177519,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_177510]) ).
cnf(c_177719,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_177519,c_3218]) ).
cnf(c_177720,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_177719]) ).
cnf(c_188629,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_188624,c_177720]) ).
cnf(c_188633,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_188629]) ).
cnf(c_189112,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_188633,c_3430]) ).
cnf(c_189125,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_189112]) ).
cnf(c_207143,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189125,c_3420,c_3554]) ).
cnf(c_207144,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_207143]) ).
cnf(c_166979,plain,
( ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_166977,c_62273]) ).
cnf(c_166984,plain,
( ~ r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_166979]) ).
cnf(c_207153,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_207144,c_166984]) ).
cnf(c_207212,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_207153]) ).
cnf(c_207222,plain,
( ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207212,c_166977,c_194950]) ).
cnf(c_207223,plain,
( ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_207222]) ).
cnf(c_244463,plain,
( ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243969,c_207223]) ).
cnf(c_244464,plain,
( ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_244463]) ).
cnf(c_244474,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244464,c_3214]) ).
cnf(c_244475,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244474]) ).
cnf(c_244737,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244475,c_3218]) ).
cnf(c_244738,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244737]) ).
cnf(c_244922,plain,
( ~ q(s(X0))
| p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244738,c_3544]) ).
cnf(c_244923,plain,
( ~ q(s(X0))
| p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244922]) ).
cnf(c_200809,plain,
( ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_200738,c_3218]) ).
cnf(c_200810,plain,
( ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_200809]) ).
cnf(c_281698,plain,
( ~ q(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244923,c_200810]) ).
cnf(c_281699,plain,
( ~ q(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_281698]) ).
cnf(c_281750,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_281699,c_152158]) ).
cnf(c_281807,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_281750]) ).
cnf(c_175856,plain,
( r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_175823,c_3218]) ).
cnf(c_175857,plain,
( r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_175856]) ).
cnf(c_175892,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_175857,c_3408]) ).
cnf(c_175893,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_175892]) ).
cnf(c_175907,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175893,c_66460]) ).
cnf(c_175912,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_175907]) ).
cnf(c_153834,plain,
( r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_153805,c_3408]) ).
cnf(c_153835,plain,
( r(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_153834]) ).
cnf(c_94110,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_94078,c_3408]) ).
cnf(c_94111,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_94110]) ).
cnf(c_153942,plain,
( r(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_153835,c_94111]) ).
cnf(c_153945,plain,
( r(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_153942]) ).
cnf(c_176146,plain,
( r(s(X0))
| qq(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_175912,c_153945]) ).
cnf(c_176245,plain,
( r(s(X0))
| qq(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_176146]) ).
cnf(c_93185,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_93119,c_3218]) ).
cnf(c_93186,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_93185]) ).
cnf(c_93256,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_93186,c_3408]) ).
cnf(c_93257,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_93256]) ).
cnf(c_175903,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175893,c_93257]) ).
cnf(c_175916,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_175903]) ).
cnf(c_217851,plain,
( r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176245,c_175916]) ).
cnf(c_217852,plain,
( r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_217851]) ).
cnf(c_217894,plain,
( r(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_217852,c_3372]) ).
cnf(c_217895,plain,
( r(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_217894]) ).
cnf(c_255,negated_conjecture,
( r(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1327) ).
cnf(c_1465,negated_conjecture,
( r(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_255]) ).
cnf(c_2135,negated_conjecture,
( r(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1465]) ).
cnf(c_2510,negated_conjecture,
( r(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2135]) ).
cnf(c_2833,negated_conjecture,
( r(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2510]) ).
cnf(c_3636,negated_conjecture,
( r(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2833]) ).
cnf(c_217938,plain,
( r(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217895,c_3636,c_3564,c_3536]) ).
cnf(c_217939,plain,
( r(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_217938]) ).
cnf(c_257,negated_conjecture,
( aq(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1329) ).
cnf(c_1469,negated_conjecture,
( aq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_257]) ).
cnf(c_2137,negated_conjecture,
( aq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1469]) ).
cnf(c_2508,negated_conjecture,
( aq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2137]) ).
cnf(c_2837,negated_conjecture,
( aq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2508]) ).
cnf(c_3644,negated_conjecture,
( aq(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2837]) ).
cnf(c_217952,plain,
( r(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_217939,c_3644]) ).
cnf(c_217953,plain,
( r(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_217952]) ).
cnf(c_217966,plain,
( r(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217953,c_3538]) ).
cnf(c_217967,plain,
( r(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_217966]) ).
cnf(c_217976,plain,
( r(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_217967,c_3554]) ).
cnf(c_217983,plain,
( r(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_217976]) ).
cnf(c_217999,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_217983,c_3214]) ).
cnf(c_218000,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_217999]) ).
cnf(c_218213,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_218000,c_3218]) ).
cnf(c_218214,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_218213]) ).
cnf(c_218310,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_218214,c_188624]) ).
cnf(c_218321,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_218310]) ).
cnf(c_232420,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_218321,c_3366]) ).
cnf(c_232421,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_232420]) ).
cnf(c_232494,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232421,c_3652,c_3554,c_217852]) ).
cnf(c_232495,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_232494]) ).
cnf(c_232565,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_232495,c_3396]) ).
cnf(c_232566,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_232565]) ).
cnf(c_232637,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232566,c_3628,c_3420]) ).
cnf(c_232638,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_232637]) ).
cnf(c_232677,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_232638,c_3372]) ).
cnf(c_232678,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_232677]) ).
cnf(c_176935,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_176917,c_6617]) ).
cnf(c_176938,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_176935]) ).
cnf(c_219215,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_176938,c_3408]) ).
cnf(c_219216,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219215]) ).
cnf(c_219294,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_219216,c_3396]) ).
cnf(c_219295,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219294]) ).
cnf(c_219365,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219295,c_3526,c_3492,c_3538]) ).
cnf(c_219366,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_219365]) ).
cnf(c_219407,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_219366,c_3372]) ).
cnf(c_219408,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_219407]) ).
cnf(c_219450,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219408,c_3610,c_3536]) ).
cnf(c_219451,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_219450]) ).
cnf(c_260,negated_conjecture,
( aq(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1332) ).
cnf(c_1475,negated_conjecture,
( aq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_260]) ).
cnf(c_2140,negated_conjecture,
( aq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1475]) ).
cnf(c_2505,negated_conjecture,
( aq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2140]) ).
cnf(c_2843,negated_conjecture,
( aq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2505]) ).
cnf(c_3656,negated_conjecture,
( aq(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2843]) ).
cnf(c_219464,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_219451,c_3656]) ).
cnf(c_219465,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_219464]) ).
cnf(c_219478,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219465,c_3538]) ).
cnf(c_219479,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_219478]) ).
cnf(c_219485,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_219479,c_3232]) ).
cnf(c_219486,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219485]) ).
cnf(c_207234,plain,
( pp(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(resolution,[status(thm)],[c_207223,c_35065]) ).
cnf(c_207241,plain,
( pp(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_207234]) ).
cnf(c_207853,plain,
( ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ aq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207241,c_3384,c_3295,c_3448,c_3346]) ).
cnf(c_207854,plain,
( ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_207853]) ).
cnf(c_207863,plain,
( ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_207854,c_3408]) ).
cnf(c_207864,plain,
( ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_207863]) ).
cnf(c_207871,plain,
( ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207864,c_3384]) ).
cnf(c_207872,plain,
( ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(s(X0)) ),
inference(rewriting,[status(thm)],[c_207871]) ).
cnf(c_207921,plain,
( r(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_207872,c_24632]) ).
cnf(c_207940,plain,
( r(X0)
| ~ q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_207921]) ).
cnf(c_24659,plain,
( r(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_24632,c_3246]) ).
cnf(c_24664,plain,
( r(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24659]) ).
cnf(c_24759,plain,
( r(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24664,c_24693]) ).
cnf(c_24760,plain,
( r(X0)
| ~ q(X0)
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_24759]) ).
cnf(c_208248,plain,
( r(X0)
| ~ q(s(X0))
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207940,c_24760]) ).
cnf(c_208249,plain,
( r(X0)
| ~ q(s(X0))
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_208248]) ).
cnf(c_208308,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_208249,c_3607]) ).
cnf(c_208327,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_208308]) ).
cnf(c_28135,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_28113,c_3269]) ).
cnf(c_28142,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_28135]) ).
cnf(c_262,negated_conjecture,
( pp(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1334) ).
cnf(c_1479,negated_conjecture,
( pp(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_262]) ).
cnf(c_2142,negated_conjecture,
( pp(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_1479]) ).
cnf(c_2503,negated_conjecture,
( pp(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2142]) ).
cnf(c_2847,negated_conjecture,
( pp(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2503]) ).
cnf(c_3664,negated_conjecture,
( pp(X0)
| ~ pqr2(X0) ),
inference(copy,[status(esa)],[c_2847]) ).
cnf(c_39035,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28142,c_3664,c_3241]) ).
cnf(c_39036,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_39035]) ).
cnf(c_39074,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_39036,c_3271]) ).
cnf(c_39089,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_39074]) ).
cnf(c_39151,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_39089,c_3362]) ).
cnf(c_39152,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_39151]) ).
cnf(c_39177,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39152,c_3538]) ).
cnf(c_39178,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_39177]) ).
cnf(c_39188,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_39178,c_3232]) ).
cnf(c_39189,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_39188]) ).
cnf(c_39229,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_39189,c_3408]) ).
cnf(c_39230,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_39229]) ).
cnf(c_156913,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_39230]) ).
cnf(c_156937,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_156913]) ).
cnf(c_158926,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_156937,c_3396]) ).
cnf(c_158927,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_158926]) ).
cnf(c_158993,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158927,c_3526,c_3538]) ).
cnf(c_158994,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_158993]) ).
cnf(c_159008,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_158994,c_122125]) ).
cnf(c_159073,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_159008]) ).
cnf(c_164174,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159073,c_3514]) ).
cnf(c_164175,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_164174]) ).
cnf(c_164220,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_164175,c_3621]) ).
cnf(c_164227,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_164220]) ).
cnf(c_164275,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_164227,c_3232]) ).
cnf(c_164276,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_164275]) ).
cnf(c_164616,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_164276,c_3402]) ).
cnf(c_164617,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_164616]) ).
cnf(c_164691,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_164617,c_3291]) ).
cnf(c_164700,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_164691]) ).
cnf(c_165968,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164700,c_3526,c_3668,c_77327]) ).
cnf(c_165969,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_165968]) ).
cnf(c_166035,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_165969,c_3396]) ).
cnf(c_166036,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_166035]) ).
cnf(c_166102,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_166036,c_3532]) ).
cnf(c_166103,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_166102]) ).
cnf(c_166122,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_166103,c_152788]) ).
cnf(c_166219,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_166122]) ).
cnf(c_164218,plain,
( ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_164175,c_3407]) ).
cnf(c_164229,plain,
( ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_164218]) ).
cnf(c_164385,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_164229,c_3232]) ).
cnf(c_164386,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_164385]) ).
cnf(c_164930,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_164386,c_3402]) ).
cnf(c_164931,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_164930]) ).
cnf(c_165003,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_164931,c_3291]) ).
cnf(c_165012,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_165003]) ).
cnf(c_52948,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(resolution,[status(thm)],[c_52377,c_35068]) ).
cnf(c_52963,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_52948]) ).
cnf(c_90955,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ aq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52963,c_3366,c_3621,c_3579]) ).
cnf(c_90956,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_90955]) ).
cnf(c_90967,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_90956,c_3408]) ).
cnf(c_90968,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_90967]) ).
cnf(c_90977,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90968,c_3366]) ).
cnf(c_90978,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(s(X0))
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_90977]) ).
cnf(c_91049,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_90978,c_3291]) ).
cnf(c_91060,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_91049]) ).
cnf(c_91265,plain,
( ~ pp(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91060,c_3321,c_3579,c_3353,c_3400]) ).
cnf(c_91266,plain,
( ~ pp(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_91265]) ).
cnf(c_169205,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165012,c_3526,c_3668,c_91266,c_77327]) ).
cnf(c_169206,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_169205]) ).
cnf(c_169272,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_169206,c_3396]) ).
cnf(c_169273,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_169272]) ).
cnf(c_169339,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169273,c_3532]) ).
cnf(c_169340,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_169339]) ).
cnf(c_182914,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_166219,c_25958,c_169340]) ).
cnf(c_182915,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_182914]) ).
cnf(c_182921,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_182915,c_3232]) ).
cnf(c_182922,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_182921]) ).
cnf(c_182997,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_182922,c_3404]) ).
cnf(c_182998,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_182997]) ).
cnf(c_184617,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_182998,c_3366]) ).
cnf(c_184618,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184617]) ).
cnf(c_184693,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184618,c_3668,c_3538]) ).
cnf(c_184694,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184693]) ).
cnf(c_184750,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_184694,c_3207]) ).
cnf(c_184755,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184750]) ).
cnf(c_184811,plain,
( r(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184755,c_3676,c_61207]) ).
cnf(c_184812,plain,
( r(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_184811]) ).
cnf(c_184817,plain,
( r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_184812,c_3232]) ).
cnf(c_184818,plain,
( r(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184817]) ).
cnf(c_184869,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_184818,c_3408]) ).
cnf(c_184870,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184869]) ).
cnf(c_184947,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_184870,c_3594]) ).
cnf(c_184952,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184947]) ).
cnf(c_191151,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184952,c_3526,c_3518]) ).
cnf(c_191152,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_191151]) ).
cnf(c_191183,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_191152,c_3541]) ).
cnf(c_191198,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_191183]) ).
cnf(c_159040,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_158994,c_3372]) ).
cnf(c_159041,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_159040]) ).
cnf(c_169944,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159041,c_3536]) ).
cnf(c_169945,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_169944]) ).
cnf(c_43242,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_43197,c_3400]) ).
cnf(c_43245,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_43242]) ).
cnf(c_43481,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43245,c_3526,c_3668,c_3407]) ).
cnf(c_43482,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_43481]) ).
cnf(c_43510,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_43482,c_3372]) ).
cnf(c_43511,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_43510]) ).
cnf(c_43540,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43511,c_3536,c_3253]) ).
cnf(c_43541,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_43540]) ).
cnf(c_169981,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_169945,c_43541]) ).
cnf(c_170008,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_169981]) ).
cnf(c_172508,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170008,c_3668]) ).
cnf(c_172509,plain,
( ~ pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_172508]) ).
cnf(c_169987,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_169945,c_3491]) ).
cnf(c_170002,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_169987]) ).
cnf(c_170070,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170002,c_3518]) ).
cnf(c_170071,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_170070]) ).
cnf(c_172514,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_172509,c_170071]) ).
cnf(c_172517,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_172514]) ).
cnf(c_208390,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208327,c_3518,c_164227,c_191198,c_3302,c_172517]) ).
cnf(c_208391,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_208390]) ).
cnf(c_208415,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_208391,c_3398]) ).
cnf(c_208416,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_208415]) ).
cnf(c_177440,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_177436,c_50945]) ).
cnf(c_177445,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_177440]) ).
cnf(c_177485,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_177445,c_3218]) ).
cnf(c_177486,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_177485]) ).
cnf(c_188628,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_188624,c_177486]) ).
cnf(c_188634,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_188628]) ).
cnf(c_188800,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_188634,c_3396]) ).
cnf(c_188801,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_188800]) ).
cnf(c_188860,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188801,c_3420]) ).
cnf(c_188861,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_188860]) ).
cnf(c_188906,plain,
( r(s(X0))
| qq(X0)
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_188861,c_3374]) ).
cnf(c_188907,plain,
( r(s(X0))
| qq(X0)
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_188906]) ).
cnf(c_188952,plain,
( r(s(X0))
| qq(X0)
| ~ q(X0)
| aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188907,c_3548]) ).
cnf(c_188953,plain,
( r(s(X0))
| qq(X0)
| ~ q(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_188952]) ).
cnf(c_188990,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_188953,c_3372]) ).
cnf(c_188991,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_188990]) ).
cnf(c_189029,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188991,c_176917,c_174263]) ).
cnf(c_189030,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189029]) ).
cnf(c_208576,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208416,c_189030]) ).
cnf(c_208577,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_208576]) ).
cnf(c_208596,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_208577,c_3216]) ).
cnf(c_208597,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208596]) ).
cnf(c_208673,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_208597,c_3218]) ).
cnf(c_208674,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208673]) ).
cnf(c_208692,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208674,c_188624]) ).
cnf(c_208693,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208692]) ).
cnf(c_208756,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_208693,c_3396]) ).
cnf(c_208757,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208756]) ).
cnf(c_208821,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208757,c_3458,c_3420]) ).
cnf(c_208822,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208821]) ).
cnf(c_208861,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_208822,c_3372]) ).
cnf(c_208862,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208861]) ).
cnf(c_208902,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208862,c_176917,c_174263]) ).
cnf(c_208903,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_208902]) ).
cnf(c_243,negated_conjecture,
( ar(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1315) ).
cnf(c_1441,negated_conjecture,
( ar(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_243]) ).
cnf(c_2123,negated_conjecture,
( ar(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_1441]) ).
cnf(c_2522,negated_conjecture,
( ar(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2123]) ).
cnf(c_2814,negated_conjecture,
( ar(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2522]) ).
cnf(c_3598,negated_conjecture,
( ar(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2814]) ).
cnf(c_208916,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_208903,c_3598]) ).
cnf(c_208917,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_208916]) ).
cnf(c_208930,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208917,c_174263]) ).
cnf(c_208931,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_208930]) ).
cnf(c_208943,plain,
( r(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_208931,c_3546]) ).
cnf(c_208944,plain,
( r(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_208943]) ).
cnf(c_208956,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208944,c_208577]) ).
cnf(c_208957,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_208956]) ).
cnf(c_219563,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_219486,c_208957]) ).
cnf(c_219566,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219563]) ).
cnf(c_219767,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_219566,c_3218]) ).
cnf(c_219768,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219767]) ).
cnf(c_219786,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219768,c_188624]) ).
cnf(c_219787,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219786]) ).
cnf(c_219855,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_219787,c_3396]) ).
cnf(c_219856,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219855]) ).
cnf(c_219925,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219856,c_3526,c_3656,c_3420]) ).
cnf(c_219926,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_219925]) ).
cnf(c_219966,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_219926,c_3372]) ).
cnf(c_219967,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_219966]) ).
cnf(c_220008,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219967,c_176917,c_174263]) ).
cnf(c_220009,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_220008]) ).
cnf(c_220018,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_220009,c_3554]) ).
cnf(c_220025,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_220018]) ).
cnf(c_232718,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232678,c_220025,c_175823,c_200724]) ).
cnf(c_232719,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_232718]) ).
cnf(c_232738,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_232719,c_3218]) ).
cnf(c_232739,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_232738]) ).
cnf(c_283235,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281807,c_232739]) ).
cnf(c_283236,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_283235]) ).
cnf(c_283307,plain,
( ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_283236,c_3321]) ).
cnf(c_283314,plain,
( ~ q(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_283307]) ).
cnf(c_283990,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283314,c_3648,c_3632,c_3420,c_3554,c_3275]) ).
cnf(c_283991,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_283990]) ).
cnf(c_284001,plain,
( ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_283991,c_3214]) ).
cnf(c_284002,plain,
( ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_284001]) ).
cnf(c_22645,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_22613,c_3295]) ).
cnf(c_22654,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_22645]) ).
cnf(c_27173,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22654,c_3476]) ).
cnf(c_27174,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27173]) ).
cnf(c_27202,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_27174,c_3390]) ).
cnf(c_27203,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27202]) ).
cnf(c_98,negated_conjecture,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1170) ).
cnf(c_112,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1184) ).
cnf(c_622,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_112,c_622]) ).
cnf(c_868,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_98,c_622]) ).
cnf(c_1151,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_868]) ).
cnf(c_2183,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1151]) ).
cnf(c_2462,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2183]) ).
cnf(c_2663,negated_conjecture,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2462]) ).
cnf(c_3296,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2663]) ).
cnf(c_27232,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27203,c_3488,c_3536,c_3296]) ).
cnf(c_27233,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_27232]) ).
cnf(c_27248,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_27233,c_3234]) ).
cnf(c_27249,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27248]) ).
cnf(c_27278,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_27249,c_3402]) ).
cnf(c_27279,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27278]) ).
cnf(c_29,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1101) ).
cnf(c_748,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_29,c_748]) ).
cnf(c_928,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_29,c_748]) ).
cnf(c_1013,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_928]) ).
cnf(c_2235,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_1013]) ).
cnf(c_2410,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2235]) ).
cnf(c_2754,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2410]) ).
cnf(c_3478,negated_conjecture,
( ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(copy,[status(esa)],[c_2754]) ).
cnf(c_3479,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_3478]) ).
cnf(c_27314,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_27279,c_3479]) ).
cnf(c_27329,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27314]) ).
cnf(c_27317,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_27279,c_3395]) ).
cnf(c_27326,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27317]) ).
cnf(c_79363,plain,
( ~ pp(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27326,c_3482,c_3480,c_3579,c_76839]) ).
cnf(c_79364,plain,
( ~ pp(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_79363]) ).
cnf(c_87073,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27329,c_3482,c_3480,c_79364,c_3355]) ).
cnf(c_87074,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87073]) ).
cnf(c_87139,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_87074,c_3384]) ).
cnf(c_87140,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87139]) ).
cnf(c_27318,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_27279,c_3551]) ).
cnf(c_27325,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_27318]) ).
cnf(c_74758,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27325,c_3482,c_3474]) ).
cnf(c_74759,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_74758]) ).
cnf(c_74816,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_74759,c_3384]) ).
cnf(c_74817,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_74816]) ).
cnf(c_74875,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74817,c_3536,c_3573]) ).
cnf(c_74876,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_74875]) ).
cnf(c_74917,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_74876,c_3378]) ).
cnf(c_74918,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_74917]) ).
cnf(c_74960,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74918,c_3532,c_3242]) ).
cnf(c_74961,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_74960]) ).
cnf(c_87204,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87140,c_3536,c_74961]) ).
cnf(c_87205,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87204]) ).
cnf(c_87259,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_87205,c_3378]) ).
cnf(c_87260,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87259]) ).
cnf(c_87315,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87260,c_3532,c_3242]) ).
cnf(c_87316,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87315]) ).
cnf(c_82094,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_81918,c_3218]) ).
cnf(c_82095,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_82094]) ).
cnf(c_82129,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_82095,c_3408]) ).
cnf(c_82130,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_82129]) ).
cnf(c_82191,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_82130,c_3368]) ).
cnf(c_82192,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_82191]) ).
cnf(c_82239,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82192,c_3648,c_3632,c_3536]) ).
cnf(c_82240,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_82239]) ).
cnf(c_82297,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_82240,c_3299]) ).
cnf(c_82308,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_82297]) ).
cnf(c_53502,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_53461,c_3299]) ).
cnf(c_53513,plain,
( ~ pp(s(X0))
| r(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_53502]) ).
cnf(c_56237,plain,
( ~ pp(s(X0))
| r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53513,c_3621,c_3355]) ).
cnf(c_56238,plain,
( ~ pp(s(X0))
| r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_56237]) ).
cnf(c_56260,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_56238,c_3300]) ).
cnf(c_56273,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_56260]) ).
cnf(c_56296,plain,
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56273,c_35050]) ).
cnf(c_56297,plain,
( r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_56296]) ).
cnf(c_83050,plain,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82308,c_3426,c_3548,c_56297,c_3317]) ).
cnf(c_83051,plain,
( pp(s(X0))
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_83050]) ).
cnf(c_83092,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_83051,c_3231]) ).
cnf(c_83095,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_83092]) ).
cnf(c_83458,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83095,c_47679]) ).
cnf(c_83459,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_83458]) ).
cnf(c_83468,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_83459,c_3214]) ).
cnf(c_83469,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83468]) ).
cnf(c_83529,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_83469,c_3218]) ).
cnf(c_83530,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83529]) ).
cnf(c_83561,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_83530,c_3402]) ).
cnf(c_83562,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83561]) ).
cnf(c_83637,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_83562,c_3384]) ).
cnf(c_83638,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83637]) ).
cnf(c_83703,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83638,c_3500,c_3426,c_3536]) ).
cnf(c_83704,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83703]) ).
cnf(c_83753,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_83704,c_3378]) ).
cnf(c_83754,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83753]) ).
cnf(c_83804,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83754,c_3552,c_3532,c_3208]) ).
cnf(c_83805,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_83804]) ).
cnf(c_87327,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_87316,c_83805]) ).
cnf(c_87430,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_87327]) ).
cnf(c_87895,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87430,c_3510,c_3398]) ).
cnf(c_87896,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_87895]) ).
cnf(c_87905,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_87896,c_3214]) ).
cnf(c_87906,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_87905]) ).
cnf(c_88104,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_87906,c_3218]) ).
cnf(c_88105,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_88104]) ).
cnf(c_174290,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174273,c_88105]) ).
cnf(c_174297,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_174290]) ).
cnf(c_174511,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_174297,c_3404]) ).
cnf(c_174512,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_174511]) ).
cnf(c_237524,plain,
( ~ pp(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_174512,c_3384]) ).
cnf(c_237525,plain,
( ~ pp(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_237524]) ).
cnf(c_241319,plain,
( ~ pp(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237525,c_3500,c_3426,c_3538]) ).
cnf(c_241320,plain,
( ~ pp(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_241319]) ).
cnf(c_241379,plain,
( ~ pp(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_241320,c_3380]) ).
cnf(c_241380,plain,
( ~ pp(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_241379]) ).
cnf(c_279722,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241380,c_3510,c_3410,c_3538]) ).
cnf(c_279723,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_279722]) ).
cnf(c_279731,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_279723,c_3214]) ).
cnf(c_279732,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_279731]) ).
cnf(c_279828,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_279732,c_3218]) ).
cnf(c_279829,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_279828]) ).
cnf(c_279859,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_279829,c_3408]) ).
cnf(c_279860,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_279859]) ).
cnf(c_88,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1160) ).
cnf(c_661,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_88,c_661]) ).
cnf(c_878,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_88,c_661]) ).
cnf(c_1131,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_878]) ).
cnf(c_2198,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1131]) ).
cnf(c_2447,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2198]) ).
cnf(c_2678,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2447]) ).
cnf(c_3326,negated_conjecture,
( qq(X0)
| qq(s(X0))
| ~ r(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2678]) ).
cnf(c_3327,plain,
( ~ r(X0)
| qq(s(X0))
| qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3326]) ).
cnf(c_153809,plain,
( qq(s(X0))
| qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_153805,c_3327]) ).
cnf(c_153821,plain,
( qq(s(X0))
| qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153809]) ).
cnf(c_243847,plain,
( qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_243813,c_153821]) ).
cnf(c_243918,plain,
( qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_243847]) ).
cnf(c_244632,plain,
( qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243918,c_3632,c_3560]) ).
cnf(c_244633,plain,
( qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_244632]) ).
cnf(c_244642,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244633,c_3214]) ).
cnf(c_244643,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244642]) ).
cnf(c_244773,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244643,c_3218]) ).
cnf(c_244774,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244773]) ).
cnf(c_245100,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244774,c_3408]) ).
cnf(c_245101,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_245100]) ).
cnf(c_245913,plain,
( qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_245101,c_3368]) ).
cnf(c_245914,plain,
( qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_245913]) ).
cnf(c_246844,plain,
( qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245914,c_3648,c_3632,c_3536]) ).
cnf(c_246845,plain,
( qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_246844]) ).
cnf(c_279893,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_279860,c_246845]) ).
cnf(c_280080,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_279893]) ).
cnf(c_280650,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280080,c_3648,c_3632]) ).
cnf(c_280651,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_280650]) ).
cnf(c_280727,plain,
( ~ pp(s(X0))
| qq(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_280651,c_3374]) ).
cnf(c_280728,plain,
( ~ pp(s(X0))
| qq(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_280727]) ).
cnf(c_280805,plain,
( ~ pp(s(X0))
| qq(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280728,c_3560,c_3548,c_3538]) ).
cnf(c_280806,plain,
( ~ pp(s(X0))
| qq(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_280805]) ).
cnf(c_280870,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_280806,c_3266]) ).
cnf(c_280873,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_280870]) ).
cnf(c_67211,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67206,c_46760]) ).
cnf(c_67218,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_67211]) ).
cnf(c_78832,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_67218,c_3218]) ).
cnf(c_78833,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_78832]) ).
cnf(c_78867,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_78833,c_3408]) ).
cnf(c_78868,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_78867]) ).
cnf(c_78941,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_78868,c_3211]) ).
cnf(c_78944,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_78941]) ).
cnf(c_256,negated_conjecture,
( q(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1328) ).
cnf(c_1467,negated_conjecture,
( q(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_256]) ).
cnf(c_2136,negated_conjecture,
( q(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1467]) ).
cnf(c_2509,negated_conjecture,
( q(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2136]) ).
cnf(c_2835,negated_conjecture,
( q(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2509]) ).
cnf(c_3640,negated_conjecture,
( q(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2835]) ).
cnf(c_23727,plain,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_23715,c_3204]) ).
cnf(c_23732,plain,
( ~ pp(X0)
| r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_23727]) ).
cnf(c_23965,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23732,c_3368,c_3402,c_3246,c_3315,c_3443,c_3285]) ).
cnf(c_23966,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(rewriting,[status(thm)],[c_23965]) ).
cnf(c_24008,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_23966,c_3260]) ).
cnf(c_24011,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_24008]) ).
cnf(c_24470,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24011,c_3390,c_3309,c_3208,c_3443]) ).
cnf(c_24471,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| q(X0) ),
inference(rewriting,[status(thm)],[c_24470]) ).
cnf(c_47994,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_47967,c_24471]) ).
cnf(c_48033,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_47994]) ).
cnf(c_209,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1281) ).
cnf(c_1373,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_209]) ).
cnf(c_2089,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_1373]) ).
cnf(c_2556,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2089]) ).
cnf(c_2766,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2556]) ).
cnf(c_3502,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
inference(copy,[status(esa)],[c_2766]) ).
cnf(c_48122,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48033,c_3502,c_3390]) ).
cnf(c_48123,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_48122]) ).
cnf(c_86122,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78944,c_3640,c_3552,c_48123,c_3231]) ).
cnf(c_86123,plain,
( r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86122]) ).
cnf(c_86173,plain,
( r(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_86123,c_34946]) ).
cnf(c_86214,plain,
( r(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86173]) ).
cnf(c_82301,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_82240,c_3211]) ).
cnf(c_82304,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_82301]) ).
cnf(c_82522,plain,
( r(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82304,c_3552,c_48123,c_3231]) ).
cnf(c_82523,plain,
( r(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_82522]) ).
cnf(c_86502,plain,
( r(s(X0))
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86214,c_82523]) ).
cnf(c_86503,plain,
( r(s(X0))
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86502]) ).
cnf(c_86550,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_86503,c_3372]) ).
cnf(c_86551,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86550]) ).
cnf(c_86695,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86551,c_3564,c_3536]) ).
cnf(c_86696,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86695]) ).
cnf(c_86709,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_86696,c_3644]) ).
cnf(c_86710,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_86709]) ).
cnf(c_86723,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86710,c_3538]) ).
cnf(c_86724,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_86723]) ).
cnf(c_280939,plain,
( qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280873,c_86724]) ).
cnf(c_280940,plain,
( qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_280939]) ).
cnf(c_280950,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_280940,c_3214]) ).
cnf(c_280951,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_280950]) ).
cnf(c_284083,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_284002,c_280951]) ).
cnf(c_284090,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_284083]) ).
cnf(c_284136,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_284090,c_3218]) ).
cnf(c_284137,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_284136]) ).
cnf(c_284181,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_284137,c_3402]) ).
cnf(c_284182,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_284181]) ).
cnf(c_285473,plain,
( qq(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_284182,c_3226]) ).
cnf(c_285476,plain,
( qq(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_285473]) ).
cnf(c_285547,plain,
( qq(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285476,c_3652,c_3554,c_200724]) ).
cnf(c_285548,plain,
( qq(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_285547]) ).
cnf(c_285622,plain,
( qq(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_285548,c_3366]) ).
cnf(c_285623,plain,
( qq(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_285622]) ).
cnf(c_285697,plain,
( qq(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285623,c_3536]) ).
cnf(c_285698,plain,
( qq(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_285697]) ).
cnf(c_285775,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_285698,c_3374]) ).
cnf(c_285776,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_285775]) ).
cnf(c_286232,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285776,c_3560,c_3532]) ).
cnf(c_286233,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_286232]) ).
cnf(c_286246,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_286233,c_3628]) ).
cnf(c_286247,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_286246]) ).
cnf(c_286260,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286247,c_3532]) ).
cnf(c_286261,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_286260]) ).
cnf(c_286273,plain,
( qq(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_286261,c_3214]) ).
cnf(c_286274,plain,
( qq(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_286273]) ).
cnf(c_286354,plain,
( p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286274,c_239290]) ).
cnf(c_286355,plain,
( p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_286354]) ).
cnf(c_286375,plain,
( p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_286355,c_3218]) ).
cnf(c_286376,plain,
( p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_286375]) ).
cnf(c_286449,plain,
( p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_286376,c_3404]) ).
cnf(c_286450,plain,
( p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_286449]) ).
cnf(c_288090,plain,
( p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_286450,c_3366]) ).
cnf(c_288091,plain,
( p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288090]) ).
cnf(c_288164,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288091,c_3652,c_3554,c_3538]) ).
cnf(c_288165,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_288164]) ).
cnf(c_288175,plain,
( q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_288165,c_3640]) ).
cnf(c_288182,plain,
( q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_288175]) ).
cnf(c_283309,plain,
( ~ pp(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_283236,c_3400]) ).
cnf(c_283312,plain,
( ~ pp(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_283309]) ).
cnf(c_283306,plain,
( ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_283236,c_3323]) ).
cnf(c_283315,plain,
( ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_283306]) ).
cnf(c_284205,plain,
( ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283315,c_3652,c_3560,c_3554]) ).
cnf(c_284206,plain,
( ~ r(X0)
| qq(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_284205]) ).
cnf(c_284289,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_284206,c_3396]) ).
cnf(c_284290,plain,
( ~ r(X0)
| qq(X0)
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_284289]) ).
cnf(c_284374,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284290,c_244464,c_232719]) ).
cnf(c_284375,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_284374]) ).
cnf(c_284388,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_284375,c_3628]) ).
cnf(c_284389,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_284388]) ).
cnf(c_284490,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284389,c_244464]) ).
cnf(c_284491,plain,
( qq(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_284490]) ).
cnf(c_283310,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_283236,c_3366]) ).
cnf(c_283311,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_283310]) ).
cnf(c_283386,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283311,c_3652,c_3558,c_3554]) ).
cnf(c_283387,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_283386]) ).
cnf(c_283469,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_283387,c_3396]) ).
cnf(c_283470,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_283469]) ).
cnf(c_283553,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283470,c_244464]) ).
cnf(c_283554,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_283553]) ).
cnf(c_283567,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_283554,c_3628]) ).
cnf(c_283568,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_283567]) ).
cnf(c_283581,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283568,c_244464]) ).
cnf(c_283582,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_283581]) ).
cnf(c_243963,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_243954,c_3494]) ).
cnf(c_243972,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_243963]) ).
cnf(c_243989,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_243972,c_3214]) ).
cnf(c_243990,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_243989]) ).
cnf(c_244086,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_243990,c_3218]) ).
cnf(c_244087,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244086]) ).
cnf(c_244119,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244087,c_3408]) ).
cnf(c_244120,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244119]) ).
cnf(c_244198,plain,
( pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_244120,c_3607]) ).
cnf(c_244217,plain,
( pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_244198]) ).
cnf(c_244288,plain,
( pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244217,c_3508,c_3494,c_3420,c_177436]) ).
cnf(c_244289,plain,
( pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_244288]) ).
cnf(c_244363,plain,
( pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_244289,c_3396]) ).
cnf(c_244364,plain,
( pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_244363]) ).
cnf(c_244793,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244364,c_3538,c_3392]) ).
cnf(c_244794,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_244793]) ).
cnf(c_244805,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_244794,c_3554]) ).
cnf(c_244812,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_244805]) ).
cnf(c_283586,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_283582,c_244812]) ).
cnf(c_283593,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_283586]) ).
cnf(c_284493,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_284491,c_283593]) ).
cnf(c_284500,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_284493]) ).
cnf(c_284743,plain,
( ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283312,c_3508,c_3420,c_3554,c_284500]) ).
cnf(c_284744,plain,
( ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_284743]) ).
cnf(c_284826,plain,
( ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_284744,c_3396]) ).
cnf(c_284827,plain,
( ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_284826]) ).
cnf(c_284909,plain,
( ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284827,c_244464]) ).
cnf(c_284910,plain,
( ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_284909]) ).
cnf(c_284922,plain,
( ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_284910,c_3628]) ).
cnf(c_284923,plain,
( ~ q(X0)
| p(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_284922]) ).
cnf(c_284935,plain,
( ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284923,c_244464]) ).
cnf(c_284936,plain,
( ~ q(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_284935]) ).
cnf(c_288218,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288182,c_284936]) ).
cnf(c_288219,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_288218]) ).
cnf(c_288233,plain,
( p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_288219,c_3558]) ).
cnf(c_288234,plain,
( p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_288233]) ).
cnf(c_288246,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288234,c_3538]) ).
cnf(c_288247,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_288246]) ).
cnf(c_288266,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288247,c_3214]) ).
cnf(c_288267,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288266]) ).
cnf(c_288363,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288267,c_3218]) ).
cnf(c_288364,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288363]) ).
cnf(c_288854,plain,
( p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288364,c_3544]) ).
cnf(c_288855,plain,
( p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288854]) ).
cnf(c_290826,plain,
( p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288855,c_286376]) ).
cnf(c_290827,plain,
( p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290826]) ).
cnf(c_290830,plain,
( r(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_290827,c_218214]) ).
cnf(c_290839,plain,
( r(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290830]) ).
cnf(c_297636,plain,
( r(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252559,c_290839]) ).
cnf(c_297637,plain,
( r(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_297636]) ).
cnf(c_86732,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_86724,c_3214]) ).
cnf(c_86733,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86732]) ).
cnf(c_86791,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_86733,c_3218]) ).
cnf(c_86792,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_86791]) ).
cnf(c_297697,plain,
( r(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_297637,c_86792]) ).
cnf(c_297732,plain,
( r(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_297697]) ).
cnf(c_298466,plain,
( r(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_297732,c_3368]) ).
cnf(c_298467,plain,
( r(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_298466]) ).
cnf(c_200726,plain,
( r(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_200724,c_83805]) ).
cnf(c_200734,plain,
( r(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_200726]) ).
cnf(c_298540,plain,
( r(s(X0))
| q(s(X0))
| rr(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_298467,c_3648,c_3632,c_200734]) ).
cnf(c_298541,plain,
( r(s(X0))
| q(s(X0))
| rr(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_298540]) ).
cnf(c_298651,plain,
( r(s(X0))
| q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_298541,c_3378]) ).
cnf(c_298652,plain,
( r(s(X0))
| q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_298651]) ).
cnf(c_298763,plain,
( r(s(X0))
| q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_298652,c_3552]) ).
cnf(c_298764,plain,
( r(s(X0))
| q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_298763]) ).
cnf(c_298807,plain,
( r(X0)
| q(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_298764,c_3372]) ).
cnf(c_298808,plain,
( r(X0)
| q(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_298807]) ).
cnf(c_223778,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_223719,c_3425]) ).
cnf(c_223795,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223778]) ).
cnf(c_272068,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223795,c_32762,c_3241]) ).
cnf(c_272069,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_272068]) ).
cnf(c_188650,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_188624,c_177456]) ).
cnf(c_188731,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_188650]) ).
cnf(c_189315,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_188731,c_3386]) ).
cnf(c_189316,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_189315]) ).
cnf(c_189375,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189316,c_3428,c_3414]) ).
cnf(c_189376,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189375]) ).
cnf(c_189426,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_189376,c_41945]) ).
cnf(c_189449,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189426]) ).
cnf(c_231824,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189449,c_3532]) ).
cnf(c_231825,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_231824]) ).
cnf(c_272089,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_272069,c_231825]) ).
cnf(c_272198,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_272089]) ).
cnf(c_79754,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_79738,c_3218]) ).
cnf(c_79755,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_79754]) ).
cnf(c_79783,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_79755,c_3408]) ).
cnf(c_79784,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_79783]) ).
cnf(c_156903,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_79784]) ).
cnf(c_156929,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_156903]) ).
cnf(c_180682,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_156929,c_3413]) ).
cnf(c_180693,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_180682]) ).
cnf(c_229493,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180693,c_3422,c_3554,c_3380]) ).
cnf(c_229494,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_229493]) ).
cnf(c_229553,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_229494,c_156240]) ).
cnf(c_229624,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_229553]) ).
cnf(c_245147,plain,
( pp(s(X0))
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229624,c_175823,c_156861]) ).
cnf(c_245148,plain,
( pp(s(X0))
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_245147]) ).
cnf(c_245213,plain,
( pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_245148,c_3522]) ).
cnf(c_245226,plain,
( pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_245213]) ).
cnf(c_156832,plain,
( pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_126038]) ).
cnf(c_156870,plain,
( pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_156832]) ).
cnf(c_245619,plain,
( pp(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245226,c_156870]) ).
cnf(c_245620,plain,
( pp(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_245619]) ).
cnf(c_272989,plain,
( pp(s(X0))
| r(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272198,c_245620]) ).
cnf(c_272990,plain,
( pp(s(X0))
| r(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_272989]) ).
cnf(c_273034,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_272990,c_3372]) ).
cnf(c_273035,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_273034]) ).
cnf(c_273160,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273035,c_3532]) ).
cnf(c_273161,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_273160]) ).
cnf(c_273216,plain,
( pp(X0)
| r(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_273161,c_3362]) ).
cnf(c_273217,plain,
( pp(X0)
| r(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_273216]) ).
cnf(c_175828,plain,
( ~ pp(X0)
| r(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175823,c_52377]) ).
cnf(c_175845,plain,
( ~ pp(X0)
| r(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_175828]) ).
cnf(c_273273,plain,
( r(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273217,c_3538,c_175845]) ).
cnf(c_273274,plain,
( r(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_273273]) ).
cnf(c_93034,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_93021,c_3648]) ).
cnf(c_93037,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_93034]) ).
cnf(c_153815,plain,
( r(X0)
| q(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_153805,c_93037]) ).
cnf(c_153827,plain,
( r(X0)
| q(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_153815]) ).
cnf(c_176920,plain,
( r(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_176917,c_153827]) ).
cnf(c_176927,plain,
( r(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_176920]) ).
cnf(c_273277,plain,
( r(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_273274,c_176927]) ).
cnf(c_273284,plain,
( r(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_273277]) ).
cnf(c_285746,plain,
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_285698,c_213125]) ).
cnf(c_285805,plain,
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_285746]) ).
cnf(c_287278,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285805,c_3398,c_200724]) ).
cnf(c_287279,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_287278]) ).
cnf(c_287292,plain,
( p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_287279,c_3628]) ).
cnf(c_287293,plain,
( p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_287292]) ).
cnf(c_287306,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287293,c_3532]) ).
cnf(c_287307,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_287306]) ).
cnf(c_287319,plain,
( p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_287307,c_3558]) ).
cnf(c_287320,plain,
( p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_287319]) ).
cnf(c_287332,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287320,c_3536]) ).
cnf(c_287333,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_287332]) ).
cnf(c_174250,plain,
( r(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_174247,c_50175]) ).
cnf(c_174261,plain,
( r(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_174250]) ).
cnf(c_287335,plain,
( r(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_287333,c_174261]) ).
cnf(c_287342,plain,
( r(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_287335]) ).
cnf(c_298852,plain,
( r(X0)
| q(X0)
| rr(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_298808,c_3564,c_273284,c_287342]) ).
cnf(c_298853,plain,
( r(X0)
| q(X0)
| rr(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_298852]) ).
cnf(c_298876,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_298853,c_215445]) ).
cnf(c_298923,plain,
( r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_298876]) ).
cnf(c_298942,plain,
( r(X0)
| ~ qq(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_298923,c_232719]) ).
cnf(c_298943,plain,
( r(X0)
| ~ qq(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_298942]) ).
cnf(c_298960,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_298943,c_3218]) ).
cnf(c_298961,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_298960]) ).
cnf(c_299063,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_298961,c_3404]) ).
cnf(c_299064,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_299063]) ).
cnf(c_299873,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_299064,c_3368]) ).
cnf(c_299874,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_299873]) ).
cnf(c_299945,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299874,c_3532]) ).
cnf(c_299946,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_299945]) ).
cnf(c_300012,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_299946,c_3366]) ).
cnf(c_300013,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_300012]) ).
cnf(c_288856,plain,
( p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288364,c_3408]) ).
cnf(c_288857,plain,
( p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288856]) ).
cnf(c_288931,plain,
( ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288857,c_3579]) ).
cnf(c_288944,plain,
( ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288931]) ).
cnf(c_291038,plain,
( r(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_290839,c_3366]) ).
cnf(c_291039,plain,
( r(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_291038]) ).
cnf(c_273294,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_273274,c_3218]) ).
cnf(c_273295,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_273294]) ).
cnf(c_273467,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_273295,c_3408]) ).
cnf(c_273468,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_273467]) ).
cnf(c_273538,plain,
( r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_273468,c_3386]) ).
cnf(c_273539,plain,
( r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_273538]) ).
cnf(c_273602,plain,
( r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273539,c_3428,c_3414,c_3536]) ).
cnf(c_273603,plain,
( r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_273602]) ).
cnf(c_153994,plain,
( r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_153835,c_3368]) ).
cnf(c_153995,plain,
( r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_153994]) ).
cnf(c_154045,plain,
( r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153995,c_3536]) ).
cnf(c_154046,plain,
( r(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_154045]) ).
cnf(c_94172,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_94111,c_3368]) ).
cnf(c_94173,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_94172]) ).
cnf(c_94221,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94173,c_3648,c_3632,c_3536]) ).
cnf(c_94222,plain,
( r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_94221]) ).
cnf(c_154050,plain,
( r(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_154046,c_94222]) ).
cnf(c_154054,plain,
( r(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_154050]) ).
cnf(c_273607,plain,
( r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_273603,c_154054]) ).
cnf(c_273614,plain,
( r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_273607]) ).
cnf(c_291107,plain,
( r(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291039,c_3652,c_3554,c_273614]) ).
cnf(c_291108,plain,
( r(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_291107]) ).
cnf(c_291150,plain,
( r(X0)
| p(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_291108,c_3372]) ).
cnf(c_291151,plain,
( r(X0)
| p(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_291150]) ).
cnf(c_291338,plain,
( r(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291151,c_3636,c_3564,c_287333]) ).
cnf(c_291339,plain,
( r(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_291338]) ).
cnf(c_295736,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288944,c_3652,c_3428,c_3554,c_291339]) ).
cnf(c_295737,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_295736]) ).
cnf(c_295750,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_295737,c_3628]) ).
cnf(c_295751,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_295750]) ).
cnf(c_295764,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295751,c_3538]) ).
cnf(c_295765,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_295764]) ).
cnf(c_295773,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_295765,c_3214]) ).
cnf(c_295774,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_295773]) ).
cnf(c_295871,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_295774,c_3218]) ).
cnf(c_295872,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_295871]) ).
cnf(c_295892,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295872,c_290827]) ).
cnf(c_295893,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_295892]) ).
cnf(c_295952,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_295893,c_3386]) ).
cnf(c_295953,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_295952]) ).
cnf(c_296011,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295953,c_3428,c_3414]) ).
cnf(c_296012,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_296011]) ).
cnf(c_296078,plain,
( p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_296012,c_3366]) ).
cnf(c_296079,plain,
( p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_296078]) ).
cnf(c_296146,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296079,c_3652,c_287333,c_295765]) ).
cnf(c_296147,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_296146]) ).
cnf(c_296159,plain,
( p(X0)
| ~ rr(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_296147,c_3628]) ).
cnf(c_296160,plain,
( p(X0)
| ~ rr(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_296159]) ).
cnf(c_296172,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296160,c_288247]) ).
cnf(c_296173,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_296172]) ).
cnf(c_296199,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_296173,c_215445]) ).
cnf(c_296246,plain,
( ~ qq(X0)
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_296199]) ).
cnf(c_296580,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_296246,c_3218]) ).
cnf(c_296581,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_296580]) ).
cnf(c_296647,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_296581,c_3404]) ).
cnf(c_296648,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_296647]) ).
cnf(c_296919,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_296648,c_3386]) ).
cnf(c_296920,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_296919]) ).
cnf(c_296977,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296920,c_3428,c_3414,c_3532]) ).
cnf(c_296978,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_296977]) ).
cnf(c_297043,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_296978,c_3366]) ).
cnf(c_297044,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_297043]) ).
cnf(c_297110,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_297044,c_3538]) ).
cnf(c_297111,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_297110]) ).
cnf(c_297213,plain,
( ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_297111,c_3513]) ).
cnf(c_297228,plain,
( ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_297213]) ).
cnf(c_297491,plain,
( ~ qq(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_297228,c_207223,c_273274]) ).
cnf(c_297492,plain,
( ~ qq(s(X0))
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_297491]) ).
cnf(c_300080,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_300013,c_3554,c_3538,c_297492]) ).
cnf(c_300081,plain,
( r(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_300080]) ).
cnf(c_300151,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_300081,c_24471]) ).
cnf(c_300154,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_300151]) ).
cnf(c_233209,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_232739,c_3366]) ).
cnf(c_233210,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_233209]) ).
cnf(c_260393,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233210,c_3554,c_176961]) ).
cnf(c_260394,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_260393]) ).
cnf(c_260462,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_260394,c_3275]) ).
cnf(c_260471,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_260462]) ).
cnf(c_52709,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_52655,c_3366]) ).
cnf(c_52710,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_52709]) ).
cnf(c_189422,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_189376,c_52710]) ).
cnf(c_189453,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189422]) ).
cnf(c_192485,plain,
( pp(s(X0))
| r(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_192481,c_152788]) ).
cnf(c_192488,plain,
( pp(s(X0))
| r(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192485]) ).
cnf(c_238178,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189453,c_192488,c_177436]) ).
cnf(c_238179,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_238178]) ).
cnf(c_238197,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_238179,c_188861]) ).
cnf(c_238300,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_238197]) ).
cnf(c_189118,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_188633,c_3396]) ).
cnf(c_189119,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_189118]) ).
cnf(c_189178,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189119,c_3420]) ).
cnf(c_189179,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_189178]) ).
cnf(c_242928,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238300,c_3554,c_207223,c_189179]) ).
cnf(c_242929,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_242928]) ).
cnf(c_260619,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260471,c_3420,c_242929]) ).
cnf(c_260620,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_260619]) ).
cnf(c_300312,plain,
( r(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_300154,c_260620,c_175823]) ).
cnf(c_300313,plain,
( r(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_300312]) ).
cnf(c_324771,plain,
( qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222990,c_300313]) ).
cnf(c_324772,plain,
( qq(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_324771]) ).
cnf(c_324844,plain,
( ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_324772,c_3522]) ).
cnf(c_324857,plain,
( ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_324844]) ).
cnf(c_196,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1268) ).
cnf(c_1347,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_196]) ).
cnf(c_2076,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_1347]) ).
cnf(c_2569,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2076]) ).
cnf(c_2747,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2569]) ).
cnf(c_3464,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2747]) ).
cnf(c_324930,plain,
( p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_324857,c_3464,c_3428,c_156870]) ).
cnf(c_324931,plain,
( p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_324930]) ).
cnf(c_324960,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_324931,c_3216]) ).
cnf(c_324961,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_324960]) ).
cnf(c_222934,plain,
( qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_222880,c_153679]) ).
cnf(c_223015,plain,
( qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_222934]) ).
cnf(c_52,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1124) ).
cnf(c_710,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_52,c_710]) ).
cnf(c_908,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_52,c_710]) ).
cnf(c_1059,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_908]) ).
cnf(c_2217,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1059]) ).
cnf(c_2428,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2217]) ).
cnf(c_2700,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2428]) ).
cnf(c_3370,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2700]) ).
cnf(c_239521,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_223015,c_3370]) ).
cnf(c_239526,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_239521]) ).
cnf(c_133050,negated_conjecture,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_133044,c_3286]) ).
cnf(c_133061,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(rewriting,[status(thm)],[c_133050]) ).
cnf(c_200736,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(resolution,[status(thm)],[c_200724,c_133061]) ).
cnf(c_200739,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_200736]) ).
cnf(c_89,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1161) ).
cnf(c_659,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_89,c_659]) ).
cnf(c_877,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_89,c_659]) ).
cnf(c_1133,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_877]) ).
cnf(c_2197,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1133]) ).
cnf(c_2448,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2197]) ).
cnf(c_2677,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2448]) ).
cnf(c_3324,negated_conjecture,
( q(s(X0))
| qq(X0)
| ~ pp(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2677]) ).
cnf(c_3325,plain,
( ~ pp(X0)
| qq(X0)
| q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3324]) ).
cnf(c_201152,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200739,c_3404,c_3325]) ).
cnf(c_201153,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_201152]) ).
cnf(c_201169,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_201153,c_3218]) ).
cnf(c_201170,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_201169]) ).
cnf(c_156830,plain,
( pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_79738]) ).
cnf(c_156872,plain,
( pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_156830]) ).
cnf(c_201637,plain,
( qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201170,c_3560,c_3554,c_156872]) ).
cnf(c_201638,plain,
( qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_201637]) ).
cnf(c_240998,plain,
( q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239526,c_3604,c_201638,c_156872]) ).
cnf(c_240999,plain,
( q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_240998]) ).
cnf(c_241013,plain,
( q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_240999,c_3558]) ).
cnf(c_241014,plain,
( q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_241013]) ).
cnf(c_241028,plain,
( q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241014,c_3538]) ).
cnf(c_241029,plain,
( q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_241028]) ).
cnf(c_241048,plain,
( q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_241029,c_3216]) ).
cnf(c_241049,plain,
( q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_241048]) ).
cnf(c_325044,plain,
( q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_324961,c_241049]) ).
cnf(c_325050,plain,
( q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325044]) ).
cnf(c_325628,plain,
( pp(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_325050,c_35065]) ).
cnf(c_325635,plain,
( pp(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325628]) ).
cnf(c_326423,plain,
( q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325635,c_3604,c_3384,c_3295,c_3448,c_3346]) ).
cnf(c_326424,plain,
( q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_326423]) ).
cnf(c_326434,plain,
( q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_326424,c_3408]) ).
cnf(c_326435,plain,
( q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_326434]) ).
cnf(c_326443,plain,
( q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_326435,c_3384]) ).
cnf(c_326444,plain,
( q(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_326443]) ).
cnf(c_8,negated_conjecture,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1080) ).
cnf(c_792,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_8,c_792]) ).
cnf(c_947,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_8,c_792]) ).
cnf(c_971,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_947]) ).
cnf(c_2253,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_971]) ).
cnf(c_2392,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2253]) ).
cnf(c_2815,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2392]) ).
cnf(c_3600,negated_conjecture,
( ~ p(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2815]) ).
cnf(c_3601,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_3600]) ).
cnf(c_326509,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_326444,c_3601]) ).
cnf(c_326526,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_326509]) ).
cnf(c_192,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1264) ).
cnf(c_1339,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_192]) ).
cnf(c_2072,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1339]) ).
cnf(c_2573,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2072]) ).
cnf(c_2741,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2573]) ).
cnf(c_3452,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2741]) ).
cnf(c_32964,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_32806,c_3544]) ).
cnf(c_32965,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_32964]) ).
cnf(c_35062,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_35050,c_32965]) ).
cnf(c_35069,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_35062]) ).
cnf(c_41388,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_41382,c_35069]) ).
cnf(c_41389,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_41388]) ).
cnf(c_326595,plain,
( pp(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_326526,c_3452,c_41389]) ).
cnf(c_326596,plain,
( pp(X0)
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_326595]) ).
cnf(c_326712,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_326596,c_3378]) ).
cnf(c_326713,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_326712]) ).
cnf(c_326829,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_326713,c_3538]) ).
cnf(c_326830,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_326829]) ).
cnf(c_326861,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_326830,c_3216]) ).
cnf(c_326862,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_326861]) ).
cnf(c_327217,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_326862,c_3402]) ).
cnf(c_327218,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_327217]) ).
cnf(c_337942,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_327218,c_3311]) ).
cnf(c_337949,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_337942]) ).
cnf(c_240,negated_conjecture,
( pp(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1312) ).
cnf(c_1435,negated_conjecture,
( pp(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_240]) ).
cnf(c_2120,negated_conjecture,
( pp(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1435]) ).
cnf(c_2525,negated_conjecture,
( pp(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2120]) ).
cnf(c_2810,negated_conjecture,
( pp(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2525]) ).
cnf(c_3590,negated_conjecture,
( pp(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2810]) ).
cnf(c_338003,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337949,c_3604,c_3590,c_127797,c_3313]) ).
cnf(c_338004,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_338003]) ).
cnf(c_338083,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_338004,c_3374]) ).
cnf(c_338084,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_338083]) ).
cnf(c_338531,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338084,c_3532,c_41382]) ).
cnf(c_338532,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_338531]) ).
cnf(c_338595,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_338532,c_3362]) ).
cnf(c_338596,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_338595]) ).
cnf(c_338790,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338596,c_3536]) ).
cnf(c_338791,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_338790]) ).
cnf(c_338819,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_338791,c_3216]) ).
cnf(c_338820,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_338819]) ).
cnf(c_339278,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_338820,c_3404]) ).
cnf(c_339279,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_339278]) ).
cnf(c_339703,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_339279,c_3384]) ).
cnf(c_339704,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_339703]) ).
cnf(c_339836,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_339704,c_3462,c_3538]) ).
cnf(c_339837,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_339836]) ).
cnf(c_339946,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_339837,c_3239]) ).
cnf(c_339963,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_339946]) ).
cnf(c_341279,plain,
( pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_339963,c_3241]) ).
cnf(c_341280,plain,
( pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_341279]) ).
cnf(c_341342,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_341280,c_3362]) ).
cnf(c_341343,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_341342]) ).
cnf(c_343050,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_341343,c_3590,c_3538]) ).
cnf(c_343051,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_343050]) ).
cnf(c_343078,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_343051,c_3216]) ).
cnf(c_343079,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_343078]) ).
cnf(c_343750,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_343079,c_3408]) ).
cnf(c_343751,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_343750]) ).
cnf(c_343851,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_343751,c_127113]) ).
cnf(c_343924,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_343851]) ).
cnf(c_346419,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_343924,c_3604,c_3536]) ).
cnf(c_346420,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_346419]) ).
cnf(c_346534,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_346420,c_3285]) ).
cnf(c_346541,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_346534]) ).
cnf(c_423652,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346541,c_3590]) ).
cnf(c_423653,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_423652]) ).
cnf(c_423719,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_423653,c_3621]) ).
cnf(c_423726,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_423719]) ).
cnf(c_126057,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_126038,c_3218]) ).
cnf(c_126058,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_126057]) ).
cnf(c_126254,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_126058,c_3408]) ).
cnf(c_126255,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_126254]) ).
cnf(c_126349,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_126255,c_3386]) ).
cnf(c_126350,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_126349]) ).
cnf(c_128558,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126350,c_3428,c_3414,c_3536]) ).
cnf(c_128559,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_128558]) ).
cnf(c_156911,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_128559]) ).
cnf(c_156921,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_156911]) ).
cnf(c_343836,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_343751,c_156921]) ).
cnf(c_343939,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_343836]) ).
cnf(c_345667,plain,
( pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_343939,c_3464,c_3452,c_273603]) ).
cnf(c_345668,plain,
( pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_345667]) ).
cnf(c_345724,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_345668,c_3485]) ).
cnf(c_345735,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_345724]) ).
cnf(c_325064,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_324961,c_3218]) ).
cnf(c_325065,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325064]) ).
cnf(c_325112,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_325065,c_3408]) ).
cnf(c_325113,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325112]) ).
cnf(c_325185,plain,
( p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_325113,c_3386]) ).
cnf(c_325186,plain,
( p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325185]) ).
cnf(c_325246,plain,
( p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325186,c_3464,c_3452,c_3428,c_3414,c_3536]) ).
cnf(c_325247,plain,
( p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_325246]) ).
cnf(c_325317,plain,
( ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_325247,c_3579]) ).
cnf(c_325330,plain,
( ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_325317]) ).
cnf(c_273650,plain,
( r(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_273603,c_3372]) ).
cnf(c_273651,plain,
( r(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_273650]) ).
cnf(c_274124,plain,
( r(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273651,c_3536]) ).
cnf(c_274125,plain,
( r(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_274124]) ).
cnf(c_325932,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325330,c_274125]) ).
cnf(c_325933,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_325932]) ).
cnf(c_345726,plain,
( ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_345668,c_3621]) ).
cnf(c_345733,plain,
( ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_345726]) ).
cnf(c_325315,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_325247,c_3601]) ).
cnf(c_325332,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_325315]) ).
cnf(c_325398,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325332,c_274125]) ).
cnf(c_325399,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_325398]) ).
cnf(c_346816,plain,
( pp(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_345733,c_325399]) ).
cnf(c_346821,plain,
( pp(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_346816]) ).
cnf(c_360878,plain,
( ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_345735,c_325933,c_177436,c_346821]) ).
cnf(c_360879,plain,
( ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_360878]) ).
cnf(c_35235,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_35072,c_3288]) ).
cnf(c_35244,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35235]) ).
cnf(c_35305,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35244,c_3208,c_3315]) ).
cnf(c_35306,plain,
( pp(X0)
| r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35305]) ).
cnf(c_35330,plain,
( pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_35306,c_3374]) ).
cnf(c_35331,plain,
( pp(X0)
| r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_35330]) ).
cnf(c_35356,plain,
( pp(X0)
| r(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35331,c_3532,c_3333]) ).
cnf(c_35357,plain,
( pp(X0)
| r(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35356]) ).
cnf(c_35380,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_35357,c_3317]) ).
cnf(c_35387,plain,
( pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35380]) ).
cnf(c_35767,negated_conjecture,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_35387,c_3278]) ).
cnf(c_35775,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_35767]) ).
cnf(c_360899,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0)
| ~ rq(s(X0)) ),
inference(resolution,[status(thm)],[c_360879,c_35775]) ).
cnf(c_360912,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_360899]) ).
cnf(c_361085,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ rq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_360912,c_3368,c_3402,c_3246]) ).
cnf(c_361086,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_361085]) ).
cnf(c_361103,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_361086,c_3218]) ).
cnf(c_361104,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_361103]) ).
cnf(c_361133,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361104,c_3426]) ).
cnf(c_361134,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_361133]) ).
cnf(c_361189,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_361134,c_3288]) ).
cnf(c_361194,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_361189]) ).
cnf(c_172576,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_172517,c_3232]) ).
cnf(c_172577,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_172576]) ).
cnf(c_46469,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_46465,c_27438]) ).
cnf(c_46473,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_46469]) ).
cnf(c_46513,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46473,c_3232]) ).
cnf(c_46514,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46513]) ).
cnf(c_164605,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_164276,c_46514]) ).
cnf(c_164610,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_164605]) ).
cnf(c_172949,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172577,c_164610]) ).
cnf(c_172950,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_172949]) ).
cnf(c_172962,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_172950,c_3402]) ).
cnf(c_172963,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_172962]) ).
cnf(c_173037,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_172963,c_3396]) ).
cnf(c_173038,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_173037]) ).
cnf(c_173104,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173038,c_3526,c_3532]) ).
cnf(c_173105,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_173104]) ).
cnf(c_173127,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_173105,c_152788]) ).
cnf(c_173220,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_173127]) ).
cnf(c_186991,plain,
( pp(s(X0))
| r(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173220,c_3668,c_3208]) ).
cnf(c_186992,plain,
( pp(s(X0))
| r(s(X0))
| p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_186991]) ).
cnf(c_187007,plain,
( pp(s(X0))
| pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_186992,c_131624]) ).
cnf(c_187058,plain,
( pp(s(X0))
| pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_187007]) ).
cnf(c_187609,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_187058,c_3362]) ).
cnf(c_187610,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_187609]) ).
cnf(c_187658,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187610,c_3536]) ).
cnf(c_187659,plain,
( pp(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_187658]) ).
cnf(c_60755,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_60747,c_7620]) ).
cnf(c_60767,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_60755]) ).
cnf(c_187666,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_187659,c_60767]) ).
cnf(c_187667,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(s(X0)) ),
inference(rewriting,[status(thm)],[c_187666]) ).
cnf(c_187948,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_187667,c_3218]) ).
cnf(c_187949,plain,
( pp(X0)
| ~ r(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_187948]) ).
cnf(c_187967,plain,
( pp(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187949,c_3420,c_174247,c_174263]) ).
cnf(c_187968,plain,
( pp(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_187967]) ).
cnf(c_187981,plain,
( pp(X0)
| ~ q(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_187968,c_3546]) ).
cnf(c_187982,plain,
( pp(X0)
| ~ q(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_187981]) ).
cnf(c_187995,plain,
( pp(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187982,c_3536]) ).
cnf(c_187996,plain,
( pp(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_187995]) ).
cnf(c_362012,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361194,c_187996]) ).
cnf(c_362013,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_362012]) ).
cnf(c_362027,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_362013,c_3546]) ).
cnf(c_362028,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_362027]) ).
cnf(c_362042,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362028,c_3536]) ).
cnf(c_362043,plain,
( pp(X0)
| r(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_362042]) ).
cnf(c_362060,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_362043,c_3218]) ).
cnf(c_362061,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362060]) ).
cnf(c_362143,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_362061,c_3404]) ).
cnf(c_362144,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362143]) ).
cnf(c_362598,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_362144,c_3368]) ).
cnf(c_362599,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362598]) ).
cnf(c_362684,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362599,c_3532,c_272990]) ).
cnf(c_362685,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362684]) ).
cnf(c_362810,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_362685,c_3384]) ).
cnf(c_362811,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362810]) ).
cnf(c_362937,plain,
( pp(s(X0))
| r(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_362811,c_3538,c_300313]) ).
cnf(c_362938,plain,
( pp(s(X0))
| r(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362937]) ).
cnf(c_362999,plain,
( pp(s(X0))
| r(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_362938,c_3372]) ).
cnf(c_363000,plain,
( pp(s(X0))
| r(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_362999]) ).
cnf(c_363357,plain,
( pp(s(X0))
| r(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363000,c_3564,c_3532]) ).
cnf(c_363358,plain,
( pp(s(X0))
| r(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_363357]) ).
cnf(c_363420,plain,
( pp(X0)
| r(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_363358,c_3362]) ).
cnf(c_363421,plain,
( pp(X0)
| r(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_363420]) ).
cnf(c_363484,plain,
( pp(X0)
| r(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363421,c_3538]) ).
cnf(c_363485,plain,
( pp(X0)
| r(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_363484]) ).
cnf(c_363497,plain,
( pp(X0)
| r(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_363485,c_3546]) ).
cnf(c_363498,plain,
( pp(X0)
| r(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_363497]) ).
cnf(c_363510,plain,
( pp(X0)
| r(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363498,c_3538]) ).
cnf(c_363511,plain,
( pp(X0)
| r(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_363510]) ).
cnf(c_363526,plain,
( pp(s(X0))
| r(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_363511,c_3218]) ).
cnf(c_363527,plain,
( pp(s(X0))
| r(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_363526]) ).
cnf(c_363562,plain,
( pp(s(X0))
| r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_363527,c_3408]) ).
cnf(c_363563,plain,
( pp(s(X0))
| r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_363562]) ).
cnf(c_363630,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_363563,c_3372]) ).
cnf(c_363631,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_363630]) ).
cnf(c_363693,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363631,c_3564,c_3536]) ).
cnf(c_363694,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_363693]) ).
cnf(c_363755,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_363694,c_3231]) ).
cnf(c_363758,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_363755]) ).
cnf(c_225320,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_225314,c_3544]) ).
cnf(c_225321,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_225320]) ).
cnf(c_65073,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_65014,c_3392]) ).
cnf(c_65074,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65073]) ).
cnf(c_65134,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65074,c_3532]) ).
cnf(c_65135,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65134]) ).
cnf(c_65172,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_65135,c_3362]) ).
cnf(c_65173,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65172]) ).
cnf(c_65211,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65173,c_3536]) ).
cnf(c_65212,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65211]) ).
cnf(c_65232,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_65212,c_3234]) ).
cnf(c_65233,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_65232]) ).
cnf(c_65285,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_65233,c_3404]) ).
cnf(c_65286,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_65285]) ).
cnf(c_65359,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_65286,c_3384]) ).
cnf(c_65360,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_65359]) ).
cnf(c_65412,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65360,c_3476,c_3538]) ).
cnf(c_65413,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_65412]) ).
cnf(c_65448,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_65413,c_3269]) ).
cnf(c_65455,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_65448]) ).
cnf(c_118971,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65455,c_3492,c_3241]) ).
cnf(c_118972,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_118971]) ).
cnf(c_119052,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_118972,c_3271]) ).
cnf(c_119067,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_119052]) ).
cnf(c_119195,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_119067,c_3362]) ).
cnf(c_119196,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_119195]) ).
cnf(c_119245,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119196,c_3538]) ).
cnf(c_119246,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_119245]) ).
cnf(c_119268,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_119246,c_3234]) ).
cnf(c_119269,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_119268]) ).
cnf(c_119315,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_119269,c_3408]) ).
cnf(c_119316,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_119315]) ).
cnf(c_156918,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_119316]) ).
cnf(c_156932,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_156918]) ).
cnf(c_158700,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_156932,c_3396]) ).
cnf(c_158701,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_158700]) ).
cnf(c_158767,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158701,c_3492,c_3538]) ).
cnf(c_158768,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_158767]) ).
cnf(c_158814,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_158768,c_3372]) ).
cnf(c_158815,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_158814]) ).
cnf(c_168172,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158815,c_3610,c_3536]) ).
cnf(c_168173,plain,
( pp(s(X0))
| r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_168172]) ).
cnf(c_168212,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_168173,c_3491]) ).
cnf(c_168227,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_168212]) ).
cnf(c_20172,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_20147,c_3594]) ).
cnf(c_20177,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_20172]) ).
cnf(c_20379,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20177,c_3492,c_3621]) ).
cnf(c_20380,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_20379]) ).
cnf(c_20405,plain,
( ~ pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_20380,c_3372]) ).
cnf(c_20406,plain,
( ~ pp(s(X0))
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_20405]) ).
cnf(c_20432,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20406,c_3536,c_3253]) ).
cnf(c_20433,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_20432]) ).
cnf(c_168209,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_168173,c_20433]) ).
cnf(c_168230,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_168209]) ).
cnf(c_172075,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_168230,c_3610]) ).
cnf(c_172076,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_172075]) ).
cnf(c_180762,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_168227,c_172076]) ).
cnf(c_180763,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_180762]) ).
cnf(c_180784,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_180763,c_3234]) ).
cnf(c_180785,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_180784]) ).
cnf(c_158782,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_158768,c_122125]) ).
cnf(c_158847,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_158782]) ).
cnf(c_163468,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158847,c_3480]) ).
cnf(c_163469,plain,
( pp(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_163468]) ).
cnf(c_163514,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_163469,c_3621]) ).
cnf(c_163521,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_163514]) ).
cnf(c_164140,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_163521,c_3234]) ).
cnf(c_164141,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164140]) ).
cnf(c_164439,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_164141,c_58253]) ).
cnf(c_164444,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164439]) ).
cnf(c_180818,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180785,c_164444]) ).
cnf(c_180819,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_180818]) ).
cnf(c_180831,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_180819,c_3402]) ).
cnf(c_180832,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_180831]) ).
cnf(c_180902,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_180832,c_3396]) ).
cnf(c_180903,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_180902]) ).
cnf(c_180965,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180903,c_3492,c_3532]) ).
cnf(c_180966,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_180965]) ).
cnf(c_181034,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_180966,c_3392]) ).
cnf(c_181035,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_181034]) ).
cnf(c_183018,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181035,c_3532]) ).
cnf(c_183019,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_183018]) ).
cnf(c_183049,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_183019,c_3541]) ).
cnf(c_183064,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_183049]) ).
cnf(c_183868,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183064,c_3610]) ).
cnf(c_183869,plain,
( r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_183868]) ).
cnf(c_183888,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_183869,c_3234]) ).
cnf(c_183889,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_183888]) ).
cnf(c_225363,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_225321,c_183889]) ).
cnf(c_225446,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_225363]) ).
cnf(c_225935,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225446,c_180819]) ).
cnf(c_225936,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_225935]) ).
cnf(c_226005,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_225936,c_3396]) ).
cnf(c_226006,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_226005]) ).
cnf(c_226076,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226006,c_3492]) ).
cnf(c_226077,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_226076]) ).
cnf(c_226091,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_226077,c_188861]) ).
cnf(c_226196,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_226091]) ).
cnf(c_27970,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_27950,c_3398]) ).
cnf(c_27971,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_27970]) ).
cnf(c_28352,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_27971,c_3216]) ).
cnf(c_28353,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_28352]) ).
cnf(c_51217,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51213,c_28353]) ).
cnf(c_51222,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_51217]) ).
cnf(c_60095,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_51222,c_3218]) ).
cnf(c_60096,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_60095]) ).
cnf(c_39200,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_39178,c_3398]) ).
cnf(c_39201,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_39200]) ).
cnf(c_39904,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_39201,c_3216]) ).
cnf(c_39905,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_39904]) ).
cnf(c_40040,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_39905,c_3218]) ).
cnf(c_40041,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_40040]) ).
cnf(c_40119,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_40041,c_3544]) ).
cnf(c_40120,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_40119]) ).
cnf(c_60131,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_60096,c_40120]) ).
cnf(c_60164,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_60131]) ).
cnf(c_84583,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_60164,c_39411]) ).
cnf(c_84626,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_84583]) ).
cnf(c_98954,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_84626,c_3368]) ).
cnf(c_98955,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_98954]) ).
cnf(c_239,negated_conjecture,
( ar(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1311) ).
cnf(c_1433,negated_conjecture,
( ar(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_239]) ).
cnf(c_2119,negated_conjecture,
( ar(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1433]) ).
cnf(c_2526,negated_conjecture,
( ar(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2119]) ).
cnf(c_2808,negated_conjecture,
( ar(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2526]) ).
cnf(c_3586,negated_conjecture,
( ar(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2808]) ).
cnf(c_5214,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(s(X0)) ),
inference(resolution,[status(thm)],[c_3254,c_3398]) ).
cnf(c_5215,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_5214]) ).
cnf(c_7205,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_5215,c_3216]) ).
cnf(c_7206,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_7205]) ).
cnf(c_242,negated_conjecture,
( r(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1314) ).
cnf(c_1439,negated_conjecture,
( r(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_242]) ).
cnf(c_2122,negated_conjecture,
( r(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1439]) ).
cnf(c_2523,negated_conjecture,
( r(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2122]) ).
cnf(c_2813,negated_conjecture,
( r(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2523]) ).
cnf(c_3596,negated_conjecture,
( r(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2813]) ).
cnf(c_7727,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7206,c_3462,c_3596]) ).
cnf(c_7728,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(s(X0))
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_7727]) ).
cnf(c_7745,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_7728,c_3218]) ).
cnf(c_7746,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_7745]) ).
cnf(c_7765,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7746,c_3420,c_3548]) ).
cnf(c_7766,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_7765]) ).
cnf(c_39879,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_39201,c_7766]) ).
cnf(c_39886,plain,
( r(X0)
| qq(X0)
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_39879]) ).
cnf(c_39974,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_39886,c_3216]) ).
cnf(c_39975,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_39974]) ).
cnf(c_40084,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_39975,c_3218]) ).
cnf(c_40085,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_40084]) ).
cnf(c_40305,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_40085,c_3544]) ).
cnf(c_40306,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_40305]) ).
cnf(c_51325,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_51237,c_40306]) ).
cnf(c_51362,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_51325]) ).
cnf(c_92389,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51362,c_50966]) ).
cnf(c_92390,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_92389]) ).
cnf(c_92442,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_92390,c_3368]) ).
cnf(c_92443,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_92442]) ).
cnf(c_92492,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92443,c_3598,c_3586]) ).
cnf(c_92493,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_92492]) ).
cnf(c_99285,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98955,c_3598,c_3586,c_92493]) ).
cnf(c_99286,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_99285]) ).
cnf(c_189060,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_188633,c_99286]) ).
cnf(c_189066,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_189060]) ).
cnf(c_216904,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_216850,c_177748]) ).
cnf(c_216999,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_216904]) ).
cnf(c_232126,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216999,c_188634,c_188633]) ).
cnf(c_232127,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_232126]) ).
cnf(c_238033,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189066,c_232127,c_189376,c_232739]) ).
cnf(c_238034,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_238033]) ).
cnf(c_238104,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_238034,c_3396]) ).
cnf(c_238105,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_238104]) ).
cnf(c_240752,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238105,c_3420]) ).
cnf(c_240753,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_240752]) ).
cnf(c_243549,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226196,c_240753,c_189179]) ).
cnf(c_243550,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_243549]) ).
cnf(c_243589,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_243550,c_3372]) ).
cnf(c_243590,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_243589]) ).
cnf(c_243630,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243590,c_3610,c_176917,c_174263]) ).
cnf(c_243631,plain,
( r(X0)
| ~ q(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_243630]) ).
cnf(c_364141,plain,
( r(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363758,c_243631]) ).
cnf(c_364142,plain,
( r(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_364141]) ).
cnf(c_364151,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_364142,c_3552]) ).
cnf(c_364156,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_364151]) ).
cnf(c_364231,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_364156,c_3218]) ).
cnf(c_364232,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_364231]) ).
cnf(c_156825,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_79755]) ).
cnf(c_156877,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_156825]) ).
cnf(c_159225,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_156877,c_3544]) ).
cnf(c_159226,plain,
( pp(s(X0))
| q(s(X0))
| p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_159225]) ).
cnf(c_203932,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_159226,c_59181]) ).
cnf(c_203977,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_203932]) ).
cnf(c_364370,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_364232,c_203977]) ).
cnf(c_364389,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_364370]) ).
cnf(c_128648,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_128559,c_3579]) ).
cnf(c_128661,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_128648]) ).
cnf(c_129999,plain,
( pp(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128661,c_3305]) ).
cnf(c_130000,plain,
( pp(s(X0))
| ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_129999]) ).
cnf(c_130046,plain,
( ~ r(X0)
| ~ qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_130000,c_3621]) ).
cnf(c_130053,plain,
( ~ r(X0)
| ~ qq(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_130046]) ).
cnf(c_130525,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_130053,c_3218]) ).
cnf(c_130526,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_130525]) ).
cnf(c_51554,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_51532,c_3398]) ).
cnf(c_51555,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_51554]) ).
cnf(c_94552,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51555,c_58325]) ).
cnf(c_94553,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_94552]) ).
cnf(c_94571,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_94553,c_3218]) ).
cnf(c_94572,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_94571]) ).
cnf(c_130551,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_130526,c_94572]) ).
cnf(c_130556,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_130551]) ).
cnf(c_221022,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_203977,c_130556]) ).
cnf(c_221026,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_221022]) ).
cnf(c_371970,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364389,c_221026]) ).
cnf(c_371971,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_371970]) ).
cnf(c_372056,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_371971,c_3366]) ).
cnf(c_372057,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_372056]) ).
cnf(c_372143,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_372057,c_3558,c_3554]) ).
cnf(c_372144,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_372143]) ).
cnf(c_372208,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_372144,c_194319]) ).
cnf(c_372307,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_372208]) ).
cnf(c_373082,plain,
( pp(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_372307,c_3538,c_245620,c_245148]) ).
cnf(c_373083,plain,
( pp(s(X0))
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_373082]) ).
cnf(c_373142,plain,
( pp(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_373083,c_3362]) ).
cnf(c_373143,plain,
( pp(X0)
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_373142]) ).
cnf(c_373465,plain,
( pp(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_373143,c_3538]) ).
cnf(c_373466,plain,
( pp(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_373465]) ).
cnf(c_373482,plain,
( pp(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_373466,c_3218]) ).
cnf(c_373483,plain,
( pp(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_373482]) ).
cnf(c_373867,plain,
( pp(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_373483,c_3408]) ).
cnf(c_373868,plain,
( pp(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_373867]) ).
cnf(c_373953,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_373868,c_3413]) ).
cnf(c_373964,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_373953]) ).
cnf(c_379370,plain,
( pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_373964,c_3422,c_3554,c_3380,c_364142]) ).
cnf(c_379371,plain,
( pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_379370]) ).
cnf(c_379431,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_379371,c_3419]) ).
cnf(c_379440,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_379431]) ).
cnf(c_373951,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_373868,c_3251]) ).
cnf(c_373966,plain,
( pp(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_373951]) ).
cnf(c_374093,plain,
( ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_373966,c_3420,c_243631,c_3253]) ).
cnf(c_374094,plain,
( ~ q(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_374093]) ).
cnf(c_374101,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_374094,c_3410]) ).
cnf(c_374110,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_374101]) ).
cnf(c_379594,plain,
( ~ pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_379440,c_374110]) ).
cnf(c_379595,plain,
( ~ pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_379594]) ).
cnf(c_374102,plain,
( ~ q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_374094,c_3554]) ).
cnf(c_374109,plain,
( ~ q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_374102]) ).
cnf(c_364150,plain,
( r(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_364142,c_3554]) ).
cnf(c_364157,plain,
( r(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_364150]) ).
cnf(c_201653,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_201638,c_3218]) ).
cnf(c_201654,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_201653]) ).
cnf(c_201681,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_201654,c_3408]) ).
cnf(c_201682,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_201681]) ).
cnf(c_201753,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_201682,c_3368]) ).
cnf(c_201754,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_201753]) ).
cnf(c_201814,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201754,c_3536]) ).
cnf(c_201815,plain,
( qq(s(X0))
| q(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_201814]) ).
cnf(c_201879,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_201815,c_3413]) ).
cnf(c_201890,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_201879]) ).
cnf(c_257976,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201890,c_3422,c_3554]) ).
cnf(c_257977,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_257976]) ).
cnf(c_364258,plain,
( ~ pp(X0)
| qq(s(X0))
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_364157,c_257977]) ).
cnf(c_364262,plain,
( ~ pp(X0)
| qq(s(X0))
| q(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_364258]) ).
cnf(c_365666,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_364262,c_3378]) ).
cnf(c_365667,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_365666]) ).
cnf(c_366421,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365667,c_3538]) ).
cnf(c_366422,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_366421]) ).
cnf(c_374169,plain,
( ~ pp(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_374109,c_366422]) ).
cnf(c_374174,plain,
( ~ pp(X0)
| qq(s(X0))
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_374169]) ).
cnf(c_374750,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_374174,c_3374]) ).
cnf(c_374751,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_374750]) ).
cnf(c_378347,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_374751,c_3538]) ).
cnf(c_378348,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_378347]) ).
cnf(c_379598,plain,
( ~ pp(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_379595,c_378348]) ).
cnf(c_379604,plain,
( ~ pp(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_379598]) ).
cnf(c_379656,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_379604,c_3218]) ).
cnf(c_379657,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_379656]) ).
cnf(c_379864,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_379657,c_3402]) ).
cnf(c_379865,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_379864]) ).
cnf(c_380024,plain,
( ~ pp(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_379865,c_3226]) ).
cnf(c_380027,plain,
( ~ pp(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_380024]) ).
cnf(c_374186,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_374109,c_3218]) ).
cnf(c_374187,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_374186]) ).
cnf(c_374340,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_374187,c_3402]) ).
cnf(c_374341,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_374340]) ).
cnf(c_376108,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_374341,c_3366]) ).
cnf(c_376109,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_376108]) ).
cnf(c_376193,plain,
( ~ q(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_376109,c_3554,c_3536]) ).
cnf(c_376194,plain,
( ~ q(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_376193]) ).
cnf(c_376287,plain,
( ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_376194,c_3396]) ).
cnf(c_376288,plain,
( ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_376287]) ).
cnf(c_376404,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_376288,c_3420,c_3532,c_174247]) ).
cnf(c_376405,plain,
( ~ q(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_376404]) ).
cnf(c_380102,plain,
( ~ pp(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_380027,c_3554,c_376405]) ).
cnf(c_380103,plain,
( ~ pp(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_380102]) ).
cnf(c_380185,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_380103,c_3366]) ).
cnf(c_380186,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_380185]) ).
cnf(c_380268,plain,
( ~ pp(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_380186,c_3536]) ).
cnf(c_380269,plain,
( ~ pp(s(X0))
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_380268]) ).
cnf(c_380279,plain,
( ~ pp(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_380269,c_379371]) ).
cnf(c_380406,plain,
( ~ pp(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_380279]) ).
cnf(c_380907,plain,
( ~ pp(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_380406,c_3422]) ).
cnf(c_380908,plain,
( ~ pp(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_380907]) ).
cnf(c_380924,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_380908,c_3218]) ).
cnf(c_380925,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_380924]) ).
cnf(c_381201,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_380925,c_3404]) ).
cnf(c_381202,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_381201]) ).
cnf(c_381402,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_381202,c_3366]) ).
cnf(c_381403,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_381402]) ).
cnf(c_381486,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_381403,c_3554,c_3538,c_373083]) ).
cnf(c_381487,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_381486]) ).
cnf(c_381498,plain,
( p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_381487,c_3558]) ).
cnf(c_381499,plain,
( p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_381498]) ).
cnf(c_382119,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_381499,c_3538]) ).
cnf(c_382120,plain,
( p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_382119]) ).
cnf(c_382151,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_382120,c_3218]) ).
cnf(c_382152,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_382151]) ).
cnf(c_382498,plain,
( p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_382152,c_3544]) ).
cnf(c_382499,plain,
( p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_382498]) ).
cnf(c_384116,plain,
( ~ pp(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_382499,c_380925]) ).
cnf(c_384231,plain,
( ~ pp(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_384116]) ).
cnf(c_385693,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_384231,c_379657]) ).
cnf(c_385697,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_385693]) ).
cnf(c_385909,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_385697,c_3368]) ).
cnf(c_385910,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_385909]) ).
cnf(c_183054,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_183019,c_3242]) ).
cnf(c_183059,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_183054]) ).
cnf(c_183919,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183059,c_3476]) ).
cnf(c_183920,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_183919]) ).
cnf(c_87371,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_87316,c_3443]) ).
cnf(c_87386,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87371]) ).
cnf(c_183923,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_183920,c_87386]) ).
cnf(c_183927,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_183923]) ).
cnf(c_184067,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_183927,c_3234]) ).
cnf(c_184068,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_184067]) ).
cnf(c_35238,plain,
( r(s(X0))
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_35072,c_3260]) ).
cnf(c_35241,plain,
( r(s(X0))
| qq(s(X0))
| qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_35238]) ).
cnf(c_143105,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35241,c_3208,c_3315,c_42392]) ).
cnf(c_143106,plain,
( r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_143105]) ).
cnf(c_143154,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_143106,c_3374]) ).
cnf(c_143155,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_143154]) ).
cnf(c_143204,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143155,c_3532]) ).
cnf(c_143205,plain,
( r(s(X0))
| qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_143204]) ).
cnf(c_143242,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_143205,c_3573]) ).
cnf(c_143259,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_143242]) ).
cnf(c_143321,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_143259,c_3404]) ).
cnf(c_143322,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143321]) ).
cnf(c_143395,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_143322,c_3368]) ).
cnf(c_143396,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143395]) ).
cnf(c_143448,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143396,c_3532]) ).
cnf(c_143449,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143448]) ).
cnf(c_143534,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_143449,c_3384]) ).
cnf(c_143535,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143534]) ).
cnf(c_143619,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143535,c_3538]) ).
cnf(c_143620,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143619]) ).
cnf(c_143685,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_143620,c_3239]) ).
cnf(c_143702,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143685]) ).
cnf(c_143765,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143702,c_3241]) ).
cnf(c_143766,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143765]) ).
cnf(c_143817,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_143766,c_3380]) ).
cnf(c_143818,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143817]) ).
cnf(c_143969,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143818,c_3538]) ).
cnf(c_143970,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_143969]) ).
cnf(c_143984,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_143970,c_3544]) ).
cnf(c_143985,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_143984]) ).
cnf(c_184217,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_184068,c_143985]) ).
cnf(c_184222,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_184217]) ).
cnf(c_314572,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_184222,c_27249]) ).
cnf(c_314593,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_314572]) ).
cnf(c_144104,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_143985,c_143259]) ).
cnf(c_144117,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_144104]) ).
cnf(c_146258,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_144117,c_27249]) ).
cnf(c_146291,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_146258]) ).
cnf(c_321691,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_314593,c_146291]) ).
cnf(c_321692,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_321691]) ).
cnf(c_321774,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_321692,c_3368]) ).
cnf(c_321775,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_321774]) ).
cnf(c_1455,negated_conjecture,
( ar(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_250]) ).
cnf(c_2130,negated_conjecture,
( ar(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_1455]) ).
cnf(c_2515,negated_conjecture,
( ar(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2130]) ).
cnf(c_2824,negated_conjecture,
( ar(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2515]) ).
cnf(c_3618,negated_conjecture,
( ar(X0)
| ~ qrp1(X0) ),
inference(copy,[status(esa)],[c_2824]) ).
cnf(c_246,negated_conjecture,
( ar(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1318) ).
cnf(c_1447,negated_conjecture,
( ar(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_246]) ).
cnf(c_2126,negated_conjecture,
( ar(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_1447]) ).
cnf(c_2519,negated_conjecture,
( ar(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2126]) ).
cnf(c_2819,negated_conjecture,
( ar(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2519]) ).
cnf(c_3608,negated_conjecture,
( ar(X0)
| ~ qrp2(X0) ),
inference(copy,[status(esa)],[c_2819]) ).
cnf(c_321850,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_321775,c_3618,c_3608]) ).
cnf(c_321851,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_321850]) ).
cnf(c_386014,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_385910,c_321851]) ).
cnf(c_386113,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_386014]) ).
cnf(c_417043,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_386113,c_3378]) ).
cnf(c_417044,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_417043]) ).
cnf(c_321975,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_321851,c_3384]) ).
cnf(c_321976,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_321975]) ).
cnf(c_174323,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_174273,c_3404]) ).
cnf(c_174324,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_174323]) ).
cnf(c_180184,plain,
( ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_174324,c_3384]) ).
cnf(c_180185,plain,
( ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_180184]) ).
cnf(c_180272,plain,
( ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180185,c_3426,c_3538]) ).
cnf(c_180273,plain,
( ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_180272]) ).
cnf(c_322176,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_321976,c_180273]) ).
cnf(c_322255,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_322176]) ).
cnf(c_324098,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_322255,c_3532,c_3538]) ).
cnf(c_324099,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_324098]) ).
cnf(c_382125,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_382120,c_324099]) ).
cnf(c_382137,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_382125]) ).
cnf(c_417157,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_417044,c_3552,c_382137]) ).
cnf(c_417158,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_417157]) ).
cnf(c_417274,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_417158,c_3390]) ).
cnf(c_417275,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_417274]) ).
cnf(c_418653,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_417275,c_3343]) ).
cnf(c_418664,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_418653]) ).
cnf(c_418735,plain,
( pp(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_418664,c_3536,c_364156]) ).
cnf(c_418736,plain,
( pp(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_418735]) ).
cnf(c_418749,plain,
( pp(X0)
| qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_418736,c_3560]) ).
cnf(c_418752,plain,
( pp(X0)
| qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_418749]) ).
cnf(c_382500,plain,
( p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_382152,c_3408]) ).
cnf(c_382501,plain,
( p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_382500]) ).
cnf(c_382577,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_382501,c_3601]) ).
cnf(c_382594,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_382577]) ).
cnf(c_382936,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_382594,c_3428,c_3548,c_364142]) ).
cnf(c_382937,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_382936]) ).
cnf(c_374104,plain,
( qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_374094,c_3548]) ).
cnf(c_374107,plain,
( qq(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_374104]) ).
cnf(c_418765,plain,
( pp(X0)
| qq(X0)
| ~ ap(X0)
| ~ rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_418752,c_382937,c_374107]) ).
cnf(c_418766,plain,
( pp(X0)
| qq(X0)
| ~ ap(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_418765]) ).
cnf(c_418781,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_418766,c_3234]) ).
cnf(c_418782,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_418781]) ).
cnf(c_418884,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_418782,c_3218]) ).
cnf(c_418885,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_418884]) ).
cnf(c_418947,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_418885,c_3402]) ).
cnf(c_418948,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_418947]) ).
cnf(c_423555,plain,
( pp(s(X0))
| qq(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_418948,c_3374]) ).
cnf(c_423556,plain,
( pp(s(X0))
| qq(X0)
| ~ ar(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_423555]) ).
cnf(c_428146,plain,
( pp(s(X0))
| qq(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_423556,c_3624,c_3614,c_3560,c_3548,c_3532]) ).
cnf(c_428147,plain,
( pp(s(X0))
| qq(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_428146]) ).
cnf(c_428214,plain,
( pp(X0)
| qq(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_428147,c_3362]) ).
cnf(c_428215,plain,
( pp(X0)
| qq(X0)
| ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_428214]) ).
cnf(c_428283,plain,
( pp(X0)
| qq(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_428215,c_3536]) ).
cnf(c_428284,plain,
( pp(X0)
| qq(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_428283]) ).
cnf(c_428319,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_428284,c_338791]) ).
cnf(c_428324,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_428319]) ).
cnf(c_381497,plain,
( qq(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_381487,c_3560]) ).
cnf(c_381500,plain,
( qq(X0)
| p(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_381497]) ).
cnf(c_381525,plain,
( qq(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_381500,c_3218]) ).
cnf(c_381526,plain,
( qq(s(X0))
| p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_381525]) ).
cnf(c_381608,plain,
( qq(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_381526,c_3408]) ).
cnf(c_381609,plain,
( qq(s(X0))
| p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_381608]) ).
cnf(c_381691,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_381609,c_3413]) ).
cnf(c_381702,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_381691]) ).
cnf(c_389661,plain,
( ~ pp(X0)
| qq(s(X0))
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_381702,c_3422,c_3554,c_364142]) ).
cnf(c_389662,plain,
( ~ pp(X0)
| qq(s(X0))
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_389661]) ).
cnf(c_389733,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_389662,c_3374]) ).
cnf(c_389734,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_389733]) ).
cnf(c_389806,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389734,c_3538]) ).
cnf(c_389807,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_389806]) ).
cnf(c_389821,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_389807,c_3218]) ).
cnf(c_389822,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_389821]) ).
cnf(c_376432,plain,
( ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_376405,c_3218]) ).
cnf(c_376433,plain,
( ~ q(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_376432]) ).
cnf(c_384121,plain,
( ~ q(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_382499,c_376433]) ).
cnf(c_384226,plain,
( ~ q(s(X0))
| p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_384121]) ).
cnf(c_384431,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_384226,c_374187]) ).
cnf(c_384432,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_384431]) ).
cnf(c_384434,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_384432,c_371971]) ).
cnf(c_384441,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_384434]) ).
cnf(c_379614,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_379595,c_3218]) ).
cnf(c_379615,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_379614]) ).
cnf(c_384773,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_384441,c_379615]) ).
cnf(c_384779,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_384773]) ).
cnf(c_385718,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_384231,c_384779]) ).
cnf(c_385829,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_385718]) ).
cnf(c_387678,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_385829,c_384441]) ).
cnf(c_387679,plain,
( ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_387678]) ).
cnf(c_389850,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389822,c_384231,c_387679]) ).
cnf(c_389851,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_389850]) ).
cnf(c_389923,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_389851,c_3413]) ).
cnf(c_389934,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_389923]) ).
cnf(c_391921,plain,
( ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389934,c_3422,c_3554,c_379371]) ).
cnf(c_391922,plain,
( ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_391921]) ).
cnf(c_391934,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_391922,c_6617]) ).
cnf(c_391937,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_391934]) ).
cnf(c_407177,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_391937,c_3366]) ).
cnf(c_407178,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_407177]) ).
cnf(c_382150,plain,
( p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_382120,c_6617]) ).
cnf(c_382153,plain,
( p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_382150]) ).
cnf(c_388463,plain,
( p(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_382153,c_3408]) ).
cnf(c_388464,plain,
( p(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_388463]) ).
cnf(c_343883,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_343751,c_3295]) ).
cnf(c_343892,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_343883]) ).
cnf(c_143986,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_143970,c_3408]) ).
cnf(c_143987,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_143986]) ).
cnf(c_144046,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_143987,c_3368]) ).
cnf(c_144047,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_144046]) ).
cnf(c_144378,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144047,c_3536]) ).
cnf(c_144379,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_144378]) ).
cnf(c_144459,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_144379,c_3295]) ).
cnf(c_144468,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_144459]) ).
cnf(c_345957,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_343892,c_3604,c_144468]) ).
cnf(c_345958,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_345957]) ).
cnf(c_24490,plain,
( r(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_24471,c_3374]) ).
cnf(c_24491,plain,
( r(s(X0))
| ~ r(X0)
| qq(X0)
| q(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_24490]) ).
cnf(c_24511,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24491,c_3443]) ).
cnf(c_24512,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_24511]) ).
cnf(c_346068,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_345958,c_24512]) ).
cnf(c_346083,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_346068]) ).
cnf(c_346194,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346083,c_27233,c_3538]) ).
cnf(c_346195,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_346194]) ).
cnf(c_346208,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_346195,c_3586]) ).
cnf(c_346209,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_346208]) ).
cnf(c_346924,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346209,c_3536]) ).
cnf(c_346925,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_346924]) ).
cnf(c_346953,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_346925,c_3402]) ).
cnf(c_346954,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_346953]) ).
cnf(c_347257,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_346954,c_3479]) ).
cnf(c_347272,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_347257]) ).
cnf(c_347260,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_346954,c_3395]) ).
cnf(c_347269,plain,
( ~ pp(X0)
| ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_347260]) ).
cnf(c_167224,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_167144,c_3400]) ).
cnf(c_167227,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_167224]) ).
cnf(c_249902,plain,
( ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167227,c_3430,c_3407]) ).
cnf(c_249903,plain,
( ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_249902]) ).
cnf(c_249921,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_249903,c_3402]) ).
cnf(c_249922,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_249921]) ).
cnf(c_249985,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_249922,c_134922]) ).
cnf(c_250052,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_249985]) ).
cnf(c_192218,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_191900,c_152125]) ).
cnf(c_192222,plain,
( pp(s(X0))
| r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_192218]) ).
cnf(c_250214,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250052,c_192222]) ).
cnf(c_250215,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_250214]) ).
cnf(c_250292,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_250215,c_3366]) ).
cnf(c_250293,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_250292]) ).
cnf(c_250365,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250293,c_3536]) ).
cnf(c_250366,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_250365]) ).
cnf(c_250438,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_250366,c_3396]) ).
cnf(c_250439,plain,
( r(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_250438]) ).
cnf(c_250508,plain,
( r(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250439,c_3532,c_3208]) ).
cnf(c_250509,plain,
( r(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_250508]) ).
cnf(c_348997,plain,
( ~ pp(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_347269,c_3579,c_250509]) ).
cnf(c_348998,plain,
( ~ pp(X0)
| q(s(X0))
| ~ p(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_348997]) ).
cnf(c_350201,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_347272,c_348998,c_3355]) ).
cnf(c_350202,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350201]) ).
cnf(c_350329,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_350202,c_3384]) ).
cnf(c_350330,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350329]) ).
cnf(c_347261,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_346954,c_3551]) ).
cnf(c_347268,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_347261]) ).
cnf(c_348341,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_347268,c_3384]) ).
cnf(c_348342,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_348341]) ).
cnf(c_348470,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_348342,c_3536,c_3573]) ).
cnf(c_348471,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_348470]) ).
cnf(c_348588,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_348471,c_3496]) ).
cnf(c_348595,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_348588]) ).
cnf(c_348710,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_348595,c_3242]) ).
cnf(c_348711,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_348710]) ).
cnf(c_350456,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350330,c_3536,c_348711]) ).
cnf(c_350457,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350456]) ).
cnf(c_350571,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_350457,c_3496]) ).
cnf(c_350578,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350571]) ).
cnf(c_350692,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350578,c_3242]) ).
cnf(c_350693,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350692]) ).
cnf(c_350802,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_350693,c_3309]) ).
cnf(c_350813,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350802]) ).
cnf(c_350975,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_350813,c_3404]) ).
cnf(c_350976,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_350975]) ).
cnf(c_353403,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_350976,c_3386]) ).
cnf(c_353404,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_353403]) ).
cnf(c_353456,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353404,c_3532]) ).
cnf(c_353457,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_353456]) ).
cnf(c_353582,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_353457,c_3384]) ).
cnf(c_353583,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_353582]) ).
cnf(c_353709,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353583,c_3538]) ).
cnf(c_353710,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_353709]) ).
cnf(c_353820,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_353710,c_3239]) ).
cnf(c_353837,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_353820]) ).
cnf(c_41965,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_41945,c_3239]) ).
cnf(c_41982,plain,
( r(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_41965]) ).
cnf(c_42229,plain,
( r(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41982,c_3241]) ).
cnf(c_42230,plain,
( r(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42229]) ).
cnf(c_365780,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353837,c_143766,c_42230]) ).
cnf(c_365781,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_365780]) ).
cnf(c_365784,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_365781,c_341280]) ).
cnf(c_365788,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_365784]) ).
cnf(c_367476,plain,
( ~ r(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_365788,c_3586]) ).
cnf(c_367477,plain,
( ~ r(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_367476]) ).
cnf(c_367925,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367477,c_3532]) ).
cnf(c_367926,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_367925]) ).
cnf(c_87372,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_87316,c_3309]) ).
cnf(c_87385,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_87372]) ).
cnf(c_87476,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_87385,c_3234]) ).
cnf(c_87477,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_87476]) ).
cnf(c_87579,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_87477,c_3404]) ).
cnf(c_87580,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_87579]) ).
cnf(c_306358,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_87580,c_143322]) ).
cnf(c_306411,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_306358]) ).
cnf(c_313760,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306411,c_41411]) ).
cnf(c_313761,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_313760]) ).
cnf(c_313886,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_313761,c_3384]) ).
cnf(c_313887,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_313886]) ).
cnf(c_314013,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_313887,c_3476,c_3538]) ).
cnf(c_314014,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_314013]) ).
cnf(c_314116,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_314014,c_3239]) ).
cnf(c_314133,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_314116]) ).
cnf(c_314386,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_314133,c_3488,c_3241]) ).
cnf(c_314387,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_314386]) ).
cnf(c_314446,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_314387,c_3380]) ).
cnf(c_314447,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_314446]) ).
cnf(c_314894,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_314447,c_3538]) ).
cnf(c_314895,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_314894]) ).
cnf(c_367931,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_367926,c_314895]) ).
cnf(c_367932,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_367931]) ).
cnf(c_369022,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_367932,c_3408]) ).
cnf(c_369023,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_369022]) ).
cnf(c_388484,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_388464,c_369023]) ).
cnf(c_388629,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_388484]) ).
cnf(c_407260,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407178,c_3668,c_3622,c_388629]) ).
cnf(c_407261,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_407260]) ).
cnf(c_407373,plain,
( ~ pp(s(X0))
| ~ r(X0)
| p(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_407261,c_3390]) ).
cnf(c_407374,plain,
( ~ pp(s(X0))
| ~ r(X0)
| p(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_407373]) ).
cnf(c_386063,plain,
( ~ pp(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_385910,c_3366]) ).
cnf(c_386064,plain,
( ~ pp(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_386063]) ).
cnf(c_386146,plain,
( ~ pp(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_386064,c_3558,c_3554,c_380269]) ).
cnf(c_386147,plain,
( ~ pp(s(X0))
| p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_386146]) ).
cnf(c_386211,plain,
( ~ pp(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_386147,c_3380]) ).
cnf(c_386212,plain,
( ~ pp(X0)
| p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_386211]) ).
cnf(c_386440,plain,
( ~ pp(X0)
| p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_386212,c_379604]) ).
cnf(c_386441,plain,
( ~ pp(X0)
| p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_386440]) ).
cnf(c_386457,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_386441,c_6617]) ).
cnf(c_386460,plain,
( ~ pp(s(X0))
| p(s(X0))
| rr(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_386457]) ).
cnf(c_395415,plain,
( ~ pp(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_386460,c_3226]) ).
cnf(c_395418,plain,
( ~ pp(s(X0))
| q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_395415]) ).
cnf(c_384515,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_384432,c_3366]) ).
cnf(c_384516,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_384515]) ).
cnf(c_384596,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_384516,c_3558,c_3554]) ).
cnf(c_384597,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_384596]) ).
cnf(c_384690,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_384597,c_3396]) ).
cnf(c_384691,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_384690]) ).
cnf(c_385625,plain,
( ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_384691,c_382120,c_374109]) ).
cnf(c_385626,plain,
( ~ q(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_385625]) ).
cnf(c_385653,plain,
( ~ q(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_385626,c_6617]) ).
cnf(c_385656,plain,
( ~ q(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_385653]) ).
cnf(c_390219,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_385656,c_3366]) ).
cnf(c_390220,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_390219]) ).
cnf(c_390300,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390220,c_3668,c_3622]) ).
cnf(c_390301,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_390300]) ).
cnf(c_213274,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_213256,c_3234]) ).
cnf(c_213275,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_213274]) ).
cnf(c_213343,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_213275,c_3404]) ).
cnf(c_213344,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_213343]) ).
cnf(c_213440,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_213344,c_3366]) ).
cnf(c_213441,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_213440]) ).
cnf(c_213512,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213441,c_3622,c_3538]) ).
cnf(c_213513,plain,
( ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_213512]) ).
cnf(c_390345,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_390301,c_213513]) ).
cnf(c_390418,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_390345]) ).
cnf(c_393500,plain,
( ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390418,c_3538]) ).
cnf(c_393501,plain,
( ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_393500]) ).
cnf(c_393566,plain,
( ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_393501,c_124555]) ).
cnf(c_393593,plain,
( ~ r(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_393566]) ).
cnf(c_390381,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_390301,c_3396]) ).
cnf(c_390382,plain,
( ~ q(X0)
| p(X0)
| ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_390381]) ).
cnf(c_388549,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_388464,c_3251]) ).
cnf(c_388564,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_388549]) ).
cnf(c_288360,plain,
( pp(X0)
| qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288267,c_35065]) ).
cnf(c_288367,plain,
( pp(X0)
| qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288360]) ).
cnf(c_290462,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| ~ aq(s(X0))
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288367,c_3500,c_3384,c_3295,c_3448,c_3346]) ).
cnf(c_290463,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| ~ aq(s(X0))
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290462]) ).
cnf(c_290472,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_290463,c_3408]) ).
cnf(c_290473,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290472]) ).
cnf(c_290480,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290473,c_3384]) ).
cnf(c_290481,plain,
( q(X0)
| p(s(X0))
| ~ p(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290480]) ).
cnf(c_290540,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_290481,c_3601]) ).
cnf(c_290557,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290540]) ).
cnf(c_290618,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290557,c_41389]) ).
cnf(c_290619,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290618]) ).
cnf(c_290634,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_290619,c_3644]) ).
cnf(c_290635,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_290634]) ).
cnf(c_290650,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290635,c_3538]) ).
cnf(c_290651,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_290650]) ).
cnf(c_290699,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_290651,c_3542]) ).
cnf(c_290700,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_290699]) ).
cnf(c_326838,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_326830,c_290700]) ).
cnf(c_326839,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_326838]) ).
cnf(c_327010,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_326839,c_3236]) ).
cnf(c_327011,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_327010]) ).
cnf(c_327161,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_327011,c_3402]) ).
cnf(c_327162,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_327161]) ).
cnf(c_328537,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_327162,c_3311]) ).
cnf(c_328544,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_328537]) ).
cnf(c_1429,negated_conjecture,
( q(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_237]) ).
cnf(c_2117,negated_conjecture,
( q(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_1429]) ).
cnf(c_2528,negated_conjecture,
( q(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2117]) ).
cnf(c_2806,negated_conjecture,
( q(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2528]) ).
cnf(c_3582,negated_conjecture,
( q(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2806]) ).
cnf(c_328777,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_328544,c_3582,c_127797,c_3313]) ).
cnf(c_328778,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_328777]) ).
cnf(c_328858,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_328778,c_3374]) ).
cnf(c_328859,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_328858]) ).
cnf(c_328940,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_328859,c_3532,c_41382]) ).
cnf(c_328941,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_328940]) ).
cnf(c_329005,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_328941,c_3362]) ).
cnf(c_329006,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_329005]) ).
cnf(c_329884,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329006,c_3536]) ).
cnf(c_329885,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_329884]) ).
cnf(c_232,negated_conjecture,
( ap(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1304) ).
cnf(c_1419,negated_conjecture,
( ap(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_232]) ).
cnf(c_2112,negated_conjecture,
( ap(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_1419]) ).
cnf(c_2533,negated_conjecture,
( ap(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2112]) ).
cnf(c_2799,negated_conjecture,
( ap(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2533]) ).
cnf(c_3568,negated_conjecture,
( ap(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2799]) ).
cnf(c_329899,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_329885,c_3568]) ).
cnf(c_329900,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_329899]) ).
cnf(c_329914,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329900,c_3536]) ).
cnf(c_329915,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_329914]) ).
cnf(c_329985,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_329915,c_3236]) ).
cnf(c_329986,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_329985]) ).
cnf(c_330390,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_329986,c_3404]) ).
cnf(c_330391,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_330390]) ).
cnf(c_330866,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_330391,c_3384]) ).
cnf(c_330867,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_330866]) ).
cnf(c_1335,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_190]) ).
cnf(c_2070,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_1335]) ).
cnf(c_2575,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2070]) ).
cnf(c_2738,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2575]) ).
cnf(c_3446,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2738]) ).
cnf(c_331378,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330867,c_3446,c_3538]) ).
cnf(c_331379,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_331378]) ).
cnf(c_331487,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_331379,c_3239]) ).
cnf(c_331504,plain,
( pp(s(X0))
| ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_331487]) ).
cnf(c_332497,plain,
( pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_331504,c_3241]) ).
cnf(c_332498,plain,
( pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_332497]) ).
cnf(c_332560,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_332498,c_3362]) ).
cnf(c_332561,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_332560]) ).
cnf(c_332817,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332561,c_3538]) ).
cnf(c_332818,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_332817]) ).
cnf(c_332831,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_332818,c_3568]) ).
cnf(c_332832,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_332831]) ).
cnf(c_332845,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332832,c_3538]) ).
cnf(c_332846,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_332845]) ).
cnf(c_332916,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_332846,c_3236]) ).
cnf(c_332917,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_332916]) ).
cnf(c_333228,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_332917,c_3408]) ).
cnf(c_333229,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_333228]) ).
cnf(c_333363,plain,
( pp(s(X0))
| ~ r(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_333229,c_3211]) ).
cnf(c_333366,plain,
( pp(s(X0))
| ~ r(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_333363]) ).
cnf(c_235,negated_conjecture,
( r(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1307) ).
cnf(c_1425,negated_conjecture,
( r(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_235]) ).
cnf(c_2115,negated_conjecture,
( r(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_1425]) ).
cnf(c_2530,negated_conjecture,
( r(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2115]) ).
cnf(c_2803,negated_conjecture,
( r(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2530]) ).
cnf(c_3576,negated_conjecture,
( r(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2803]) ).
cnf(c_333983,plain,
( ~ r(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333366,c_3582,c_3576,c_3231]) ).
cnf(c_333984,plain,
( ~ r(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_333983]) ).
cnf(c_364216,plain,
( ~ r(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_364156,c_333984]) ).
cnf(c_364220,plain,
( ~ r(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_364216]) ).
cnf(c_363525,plain,
( pp(s(X0))
| r(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_363511,c_6617]) ).
cnf(c_363528,plain,
( pp(s(X0))
| r(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_363525]) ).
cnf(c_364006,plain,
( pp(s(X0))
| r(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_363528,c_3408]) ).
cnf(c_364007,plain,
( pp(s(X0))
| r(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_364006]) ).
cnf(c_364463,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_364220,c_364007]) ).
cnf(c_364688,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_364463]) ).
cnf(c_50005,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_49989,c_6617]) ).
cnf(c_50008,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_50005]) ).
cnf(c_226709,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50008,c_3526,c_3492,c_3610]) ).
cnf(c_226710,plain,
( r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_226709]) ).
cnf(c_226726,plain,
( r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_226710,c_213344]) ).
cnf(c_226915,plain,
( r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_226726]) ).
cnf(c_240021,plain,
( r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226915,c_3492,c_3610,c_3396]) ).
cnf(c_240022,plain,
( r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_240021]) ).
cnf(c_170079,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_170071,c_3232]) ).
cnf(c_170080,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_170079]) ).
cnf(c_170134,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170080,c_164610]) ).
cnf(c_170135,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_170134]) ).
cnf(c_170148,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_170135,c_3402]) ).
cnf(c_170149,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_170148]) ).
cnf(c_170250,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_170149,c_3384]) ).
cnf(c_170251,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_170250]) ).
cnf(c_170341,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170251,c_3530,c_3536]) ).
cnf(c_170342,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_170341]) ).
cnf(c_170410,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_170342,c_3396]) ).
cnf(c_170411,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_170410]) ).
cnf(c_170478,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170411,c_3532,c_3242]) ).
cnf(c_170479,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_170478]) ).
cnf(c_170547,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_170479,c_3392]) ).
cnf(c_170548,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_170547]) ).
cnf(c_179238,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170548,c_3518,c_3532]) ).
cnf(c_179239,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_179238]) ).
cnf(c_179249,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_179239,c_3232]) ).
cnf(c_179250,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_179249]) ).
cnf(c_179328,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_179250,c_3404]) ).
cnf(c_179329,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_179328]) ).
cnf(c_195762,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_179329,c_3384]) ).
cnf(c_195763,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_195762]) ).
cnf(c_195865,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195763,c_3530,c_3538]) ).
cnf(c_195866,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_195865]) ).
cnf(c_240060,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_240022,c_195866]) ).
cnf(c_240183,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_240060]) ).
cnf(c_279545,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240183,c_3241]) ).
cnf(c_279546,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_279545]) ).
cnf(c_6633,plain,
( ~ rq(s(X0))
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_4283,c_3216]) ).
cnf(c_6634,plain,
( ~ rq(s(X0))
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_6633]) ).
cnf(c_6673,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_6634,c_3244]) ).
cnf(c_6678,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_6673]) ).
cnf(c_7881,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6678,c_3502,c_3500,c_3464,c_3452]) ).
cnf(c_7882,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_7881]) ).
cnf(c_7894,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_7882,c_3214]) ).
cnf(c_7895,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_7894]) ).
cnf(c_8391,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_7895,c_3216]) ).
cnf(c_8392,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_8391]) ).
cnf(c_16019,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_8392,c_3402]) ).
cnf(c_16020,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_16019]) ).
cnf(c_18949,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_16020,c_3288]) ).
cnf(c_18958,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_18949]) ).
cnf(c_244,negated_conjecture,
( pp(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1316) ).
cnf(c_1443,negated_conjecture,
( pp(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_244]) ).
cnf(c_2124,negated_conjecture,
( pp(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_1443]) ).
cnf(c_2521,negated_conjecture,
( pp(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2124]) ).
cnf(c_2816,negated_conjecture,
( pp(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2521]) ).
cnf(c_3602,negated_conjecture,
( pp(X0)
| ~ qrp3(X0) ),
inference(copy,[status(esa)],[c_2816]) ).
cnf(c_26496,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18958,c_3648,c_3500,c_3602,c_3590,c_3242,c_3315]) ).
cnf(c_26497,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_26496]) ).
cnf(c_26538,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_26497,c_3384]) ).
cnf(c_26539,plain,
( pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_26538]) ).
cnf(c_26580,plain,
( pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26539,c_3536,c_3362]) ).
cnf(c_26581,plain,
( pp(X0)
| ~ r(s(X0))
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_26580]) ).
cnf(c_26604,plain,
( pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_26581,c_3374]) ).
cnf(c_26605,plain,
( pp(X0)
| ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_26604]) ).
cnf(c_26629,plain,
( ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26605,c_3532,c_3573]) ).
cnf(c_26630,plain,
( ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_26629]) ).
cnf(c_24484,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_24471,c_3241]) ).
cnf(c_24497,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_24484]) ).
cnf(c_24556,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24497,c_24512]) ).
cnf(c_24557,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_24556]) ).
cnf(c_26640,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_26630,c_24557]) ).
cnf(c_26675,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_26640]) ).
cnf(c_141798,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26675,c_41382]) ).
cnf(c_141799,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ qp(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_141798]) ).
cnf(c_133055,negated_conjecture,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_133044,c_3254]) ).
cnf(c_133063,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| ~ q(X0)
| rr(X0)
| ~ aq(X0)
| pr(s(X0)) ),
inference(rewriting,[status(thm)],[c_133055]) ).
cnf(c_141807,plain,
( ~ pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ qp(s(X0)) ),
inference(resolution,[status(thm)],[c_141799,c_133063]) ).
cnf(c_141812,plain,
( ~ pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| rr(X0)
| ~ ar(s(X0))
| ~ aq(X0)
| ~ qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_141807]) ).
cnf(c_141991,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ qp(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141812,c_3396,c_3404,c_3425,c_3302,c_3269]) ).
cnf(c_141992,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ qp(s(X0)) ),
inference(rewriting,[status(thm)],[c_141991]) ).
cnf(c_142011,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_141992,c_4311]) ).
cnf(c_142014,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_142011]) ).
cnf(c_263730,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142014,c_3526,c_49989]) ).
cnf(c_263731,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_263730]) ).
cnf(c_263801,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_263731,c_3368]) ).
cnf(c_263802,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_263801]) ).
cnf(c_263869,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263802,c_3425]) ).
cnf(c_263870,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_263869]) ).
cnf(c_263980,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_263870,c_3384]) ).
cnf(c_263981,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_263980]) ).
cnf(c_14737,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14727,c_3232]) ).
cnf(c_14738,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14737]) ).
cnf(c_14776,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14738,c_3234]) ).
cnf(c_14777,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14776]) ).
cnf(c_14815,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14777,c_3404]) ).
cnf(c_14816,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14815]) ).
cnf(c_14864,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_14816,c_3384]) ).
cnf(c_14865,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_14864]) ).
cnf(c_14899,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14865,c_3530,c_3476,c_3538]) ).
cnf(c_14900,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_14899]) ).
cnf(c_14920,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_14900,c_3302]) ).
cnf(c_14923,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_14920]) ).
cnf(c_14945,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14923,c_3518,c_3492,c_3241]) ).
cnf(c_14946,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14945]) ).
cnf(c_14969,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_14946,c_3271]) ).
cnf(c_14984,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_14969]) ).
cnf(c_15140,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_14984,c_3362]) ).
cnf(c_15141,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_15140]) ).
cnf(c_15199,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15141,c_3538]) ).
cnf(c_15200,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_15199]) ).
cnf(c_15211,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_15200,c_3232]) ).
cnf(c_15212,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_15211]) ).
cnf(c_15292,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_15212,c_3234]) ).
cnf(c_15293,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_15292]) ).
cnf(c_15359,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_15293,c_3408]) ).
cnf(c_15360,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_15359]) ).
cnf(c_16669,plain,
( pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_15360,c_3349]) ).
cnf(c_16682,plain,
( pp(s(X0))
| ~ pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_16669]) ).
cnf(c_101799,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16682,c_3530,c_3482,c_3476,c_3380,c_3556]) ).
cnf(c_101800,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_101799]) ).
cnf(c_101856,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_101800,c_3396]) ).
cnf(c_101857,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_101856]) ).
cnf(c_102445,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101857,c_3656]) ).
cnf(c_102446,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_102445]) ).
cnf(c_102525,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_102446,c_3392]) ).
cnf(c_102526,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_102525]) ).
cnf(c_109611,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_102526,c_3491]) ).
cnf(c_109626,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_109611]) ).
cnf(c_109751,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109626,c_3538]) ).
cnf(c_109752,plain,
( ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_109751]) ).
cnf(c_109761,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_109752,c_3232]) ).
cnf(c_109762,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_109761]) ).
cnf(c_109846,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_109762,c_3234]) ).
cnf(c_109847,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_109846]) ).
cnf(c_109902,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_109847,c_3402]) ).
cnf(c_109903,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_109902]) ).
cnf(c_110002,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_109903,c_3384]) ).
cnf(c_110003,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_110002]) ).
cnf(c_110088,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110003,c_3530,c_3476,c_3536]) ).
cnf(c_110089,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_110088]) ).
cnf(c_110153,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_110089,c_3396]) ).
cnf(c_110154,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_110153]) ).
cnf(c_110219,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110154,c_3492,c_3532,c_3242,c_65014]) ).
cnf(c_110220,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_110219]) ).
cnf(c_110268,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_110220,c_51154]) ).
cnf(c_110335,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_110268]) ).
cnf(c_110640,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110335,c_3542]) ).
cnf(c_110641,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_110640]) ).
cnf(c_110655,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_110641,c_3656]) ).
cnf(c_110656,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_110655]) ).
cnf(c_110670,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110656,c_3532]) ).
cnf(c_110671,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_110670]) ).
cnf(c_110684,plain,
( ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_110671,c_3546]) ).
cnf(c_110685,plain,
( ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_110684]) ).
cnf(c_110698,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110685,c_3536]) ).
cnf(c_110699,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_110698]) ).
cnf(c_110705,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_110699,c_3232]) ).
cnf(c_110706,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_110705]) ).
cnf(c_110784,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_110706,c_3234]) ).
cnf(c_110785,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_110784]) ).
cnf(c_110844,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_110785,c_3404]) ).
cnf(c_110845,plain,
( ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_110844]) ).
cnf(c_211505,plain,
( ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_110845,c_3384]) ).
cnf(c_211506,plain,
( ~ q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_211505]) ).
cnf(c_211616,plain,
( ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211506,c_3530,c_3476,c_3538]) ).
cnf(c_211617,plain,
( ~ q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_211616]) ).
cnf(c_264133,plain,
( r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_263981,c_211617]) ).
cnf(c_264270,plain,
( r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_264133]) ).
cnf(c_220021,plain,
( r(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_220009,c_3546]) ).
cnf(c_220022,plain,
( r(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_220021]) ).
cnf(c_220039,plain,
( r(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_220022,c_3232]) ).
cnf(c_220040,plain,
( r(s(X0))
| ~ q(s(X0))
| ap(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_220039]) ).
cnf(c_220132,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220040,c_219566]) ).
cnf(c_220133,plain,
( r(s(X0))
| ~ q(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_220132]) ).
cnf(c_220147,plain,
( r(s(X0))
| ~ q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_220133,c_6617]) ).
cnf(c_220150,plain,
( r(s(X0))
| ~ q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_220147]) ).
cnf(c_220233,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_220150,c_3396]) ).
cnf(c_220234,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_220233]) ).
cnf(c_220303,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220234,c_3526,c_3656,c_3492]) ).
cnf(c_220304,plain,
( r(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_220303]) ).
cnf(c_220344,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_220304,c_3372]) ).
cnf(c_220345,plain,
( r(X0)
| ~ q(X0)
| ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_220344]) ).
cnf(c_189042,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_189030,c_6617]) ).
cnf(c_189045,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_189042]) ).
cnf(c_205588,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_189045,c_3396]) ).
cnf(c_205589,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_205588]) ).
cnf(c_205654,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205589,c_3526,c_3656,c_3492]) ).
cnf(c_205655,plain,
( r(s(X0))
| qq(s(X0))
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_205654]) ).
cnf(c_205675,plain,
( r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_205655,c_180966]) ).
cnf(c_205736,plain,
( r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_205675]) ).
cnf(c_206525,plain,
( r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205736,c_3532]) ).
cnf(c_206526,plain,
( r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_206525]) ).
cnf(c_206555,plain,
( r(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_206526,c_25905]) ).
cnf(c_206574,plain,
( r(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_206555]) ).
cnf(c_207272,plain,
( r(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206574,c_3610,c_3532]) ).
cnf(c_207273,plain,
( r(X0)
| ~ q(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_207272]) ).
cnf(c_220386,plain,
( r(X0)
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220345,c_3610,c_207273]) ).
cnf(c_220387,plain,
( r(X0)
| ~ q(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_220386]) ).
cnf(c_164450,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_164141,c_3402]) ).
cnf(c_164451,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164450]) ).
cnf(c_164529,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_164451,c_3291]) ).
cnf(c_164538,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164529]) ).
cnf(c_165403,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164538,c_3492,c_3610,c_76927]) ).
cnf(c_165404,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_165403]) ).
cnf(c_165470,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_165404,c_3396]) ).
cnf(c_165471,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_165470]) ).
cnf(c_165537,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165471,c_3532]) ).
cnf(c_165538,plain,
( r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_165537]) ).
cnf(c_165554,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_165538,c_152788]) ).
cnf(c_165659,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_165554]) ).
cnf(c_163512,plain,
( ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_163469,c_3407]) ).
cnf(c_163523,plain,
( ~ pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_163512]) ).
cnf(c_164345,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_163523,c_3234]) ).
cnf(c_164346,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164345]) ).
cnf(c_164774,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_164346,c_3402]) ).
cnf(c_164775,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164774]) ).
cnf(c_164848,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_164775,c_3291]) ).
cnf(c_164857,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_164848]) ).
cnf(c_168557,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164857,c_3492,c_3610,c_91266,c_76927]) ).
cnf(c_168558,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_168557]) ).
cnf(c_168624,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_168558,c_3396]) ).
cnf(c_168625,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_168624]) ).
cnf(c_168691,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_168625,c_3532]) ).
cnf(c_168692,plain,
( ~ pp(s(X0))
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_168691]) ).
cnf(c_182573,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165659,c_3208,c_168692]) ).
cnf(c_182574,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_182573]) ).
cnf(c_182606,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_182574,c_3319]) ).
cnf(c_182615,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_182606]) ).
cnf(c_182648,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182615,c_76927]) ).
cnf(c_182649,plain,
( r(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_182648]) ).
cnf(c_182673,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_182649,c_3234]) ).
cnf(c_182674,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_182673]) ).
cnf(c_182736,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_182674,c_3404]) ).
cnf(c_182737,plain,
( r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_182736]) ).
cnf(c_183382,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_182737,c_3366]) ).
cnf(c_183383,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_183382]) ).
cnf(c_183458,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183383,c_3622,c_3538]) ).
cnf(c_183459,plain,
( r(s(X0))
| ~ q(s(X0))
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_183458]) ).
cnf(c_183515,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_183459,c_3207]) ).
cnf(c_183520,plain,
( r(s(X0))
| r(X0)
| p(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_183515]) ).
cnf(c_183576,plain,
( r(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183520,c_3610,c_61207]) ).
cnf(c_183577,plain,
( r(X0)
| p(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_183576]) ).
cnf(c_265689,plain,
( r(X0)
| qq(s(X0))
| ~ q(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264270,c_3492,c_220387,c_3532,c_3538,c_183577]) ).
cnf(c_265690,plain,
( r(X0)
| qq(s(X0))
| ~ q(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_265689]) ).
cnf(c_279555,plain,
( r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_279546,c_265690]) ).
cnf(c_279684,plain,
( r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_279555]) ).
cnf(c_279693,plain,
( r(X0)
| ~ q(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279684,c_220387,c_183577]) ).
cnf(c_279694,plain,
( r(X0)
| ~ q(X0)
| qp(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_279693]) ).
cnf(c_370499,plain,
( r(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364688,c_3676,c_3610,c_279694,c_3231]) ).
cnf(c_370500,plain,
( r(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_370499]) ).
cnf(c_370513,plain,
( r(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_370500,c_3656]) ).
cnf(c_370514,plain,
( r(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_370513]) ).
cnf(c_370527,plain,
( r(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_370514,c_3538]) ).
cnf(c_370528,plain,
( r(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_370527]) ).
cnf(c_370540,plain,
( r(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_370528,c_3618]) ).
cnf(c_370541,plain,
( r(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_370540]) ).
cnf(c_370553,plain,
( r(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_370541,c_3536]) ).
cnf(c_370554,plain,
( r(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_370553]) ).
cnf(c_388640,plain,
( ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_388564,c_3526,c_3492,c_370554]) ).
cnf(c_388641,plain,
( ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_388640]) ).
cnf(c_388654,plain,
( ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_388641,c_3656]) ).
cnf(c_388655,plain,
( ~ q(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_388654]) ).
cnf(c_388668,plain,
( ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_388655,c_3538]) ).
cnf(c_388669,plain,
( ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_388668]) ).
cnf(c_388681,plain,
( ~ q(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_388669,c_3608]) ).
cnf(c_388682,plain,
( ~ q(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_388681]) ).
cnf(c_388694,plain,
( ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_388682,c_3536]) ).
cnf(c_388695,plain,
( ~ q(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_388694]) ).
cnf(c_390463,plain,
( ~ q(X0)
| p(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_390382,c_3526,c_388695]) ).
cnf(c_390464,plain,
( ~ q(X0)
| p(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_390463]) ).
cnf(c_393801,plain,
( ~ q(X0)
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_393593,c_3526,c_390464,c_183577]) ).
cnf(c_393802,plain,
( ~ q(X0)
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_393801]) ).
cnf(c_395787,plain,
( ~ pp(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395418,c_3668,c_3622,c_393802]) ).
cnf(c_395788,plain,
( ~ pp(s(X0))
| p(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_395787]) ).
cnf(c_395866,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_395788,c_3366]) ).
cnf(c_395867,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_395866]) ).
cnf(c_395945,plain,
( ~ pp(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395867,c_3536]) ).
cnf(c_395946,plain,
( ~ pp(s(X0))
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_395945]) ).
cnf(c_409560,plain,
( ~ pp(s(X0))
| ~ r(X0)
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407374,c_395946]) ).
cnf(c_409561,plain,
( ~ pp(s(X0))
| ~ r(X0)
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_409560]) ).
cnf(c_409629,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_409561,c_3343]) ).
cnf(c_409640,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_409629]) ).
cnf(c_314059,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_314014,c_211617]) ).
cnf(c_314190,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_314059]) ).
cnf(c_315014,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_314190,c_3522]) ).
cnf(c_315027,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_315014]) ).
cnf(c_315366,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_315027,c_3514,c_3482]) ).
cnf(c_315367,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_315366]) ).
cnf(c_315428,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_315367,c_3380]) ).
cnf(c_315429,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_315428]) ).
cnf(c_316600,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_315429,c_3538]) ).
cnf(c_316601,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_316600]) ).
cnf(c_316608,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_316601,c_3232]) ).
cnf(c_316609,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_316608]) ).
cnf(c_316762,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_316609,c_3234]) ).
cnf(c_316763,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_316762]) ).
cnf(c_316809,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_316763,c_3408]) ).
cnf(c_316810,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_316809]) ).
cnf(c_388474,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_388464,c_316810]) ).
cnf(c_388482,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_388474]) ).
cnf(c_388908,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_388482,c_3386]) ).
cnf(c_388909,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_388908]) ).
cnf(c_388960,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_388909,c_3520,c_3514,c_3486,c_3480,c_3536]) ).
cnf(c_388961,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_388960]) ).
cnf(c_389016,plain,
( ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_388961,c_126079]) ).
cnf(c_389035,plain,
( ~ r(X0)
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_389016]) ).
cnf(c_389292,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389035,c_370554]) ).
cnf(c_389293,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_389292]) ).
cnf(c_409711,plain,
( pp(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409640,c_3680,c_389293,c_388695,c_370554]) ).
cnf(c_409712,plain,
( pp(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_409711]) ).
cnf(c_409725,plain,
( pp(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_409712,c_3608]) ).
cnf(c_409726,plain,
( pp(X0)
| p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_409725]) ).
cnf(c_409739,plain,
( pp(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409726,c_3536]) ).
cnf(c_409740,plain,
( pp(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_409739]) ).
cnf(c_409746,plain,
( pp(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_409740,c_3232]) ).
cnf(c_409747,plain,
( pp(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_409746]) ).
cnf(c_409809,plain,
( pp(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_409747,c_3234]) ).
cnf(c_409810,plain,
( pp(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_409809]) ).
cnf(c_409878,plain,
( pp(s(X0))
| p(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_409810,c_3402]) ).
cnf(c_409879,plain,
( pp(s(X0))
| p(s(X0))
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_409878]) ).
cnf(c_409986,plain,
( pp(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_409879,c_3366]) ).
cnf(c_409987,plain,
( pp(s(X0))
| p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_409986]) ).
cnf(c_410070,plain,
( p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_409987,c_3668,c_3622,c_3536,c_395946]) ).
cnf(c_410071,plain,
( p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_410070]) ).
cnf(c_410084,plain,
( p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_410071,c_3672]) ).
cnf(c_410085,plain,
( p(X0)
| ~ ar(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_410084]) ).
cnf(c_410098,plain,
( p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_410085,c_3532]) ).
cnf(c_410099,plain,
( p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_410098]) ).
cnf(c_410109,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_410099,c_3614]) ).
cnf(c_410114,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_410109]) ).
cnf(c_410198,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_410114,c_287333]) ).
cnf(c_410205,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_410198]) ).
cnf(c_376411,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_376405,c_215494]) ).
cnf(c_376417,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_376411]) ).
cnf(c_376407,plain,
( pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_376405,c_58766]) ).
cnf(c_376421,plain,
( pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_376407]) ).
cnf(c_380910,plain,
( ~ qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_380908,c_376421]) ).
cnf(c_380914,plain,
( ~ qq(X0)
| p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_380910]) ).
cnf(c_410713,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_410205,c_376417,c_380914]) ).
cnf(c_410714,plain,
( p(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_410713]) ).
cnf(c_428953,plain,
( pp(X0)
| qq(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_428324,c_410714,c_376405]) ).
cnf(c_428954,plain,
( pp(X0)
| qq(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_428953]) ).
cnf(c_428969,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428954,c_3218]) ).
cnf(c_428970,plain,
( pp(s(X0))
| qq(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428969]) ).
cnf(c_429723,plain,
( pp(s(X0))
| qq(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428970,c_3404]) ).
cnf(c_429724,plain,
( pp(s(X0))
| qq(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_429723]) ).
cnf(c_430694,plain,
( pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_429724,c_3241]) ).
cnf(c_430705,plain,
( pp(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_430694]) ).
cnf(c_432538,plain,
( ~ r(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_430705,c_3416,c_382120,c_365781]) ).
cnf(c_432539,plain,
( ~ r(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432538]) ).
cnf(c_432550,plain,
( ~ r(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_432539,c_3558]) ).
cnf(c_432551,plain,
( ~ r(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_432550]) ).
cnf(c_432562,plain,
( ~ r(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432551,c_3538]) ).
cnf(c_432563,plain,
( ~ r(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_432562]) ).
cnf(c_432591,plain,
( ~ r(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_432563,c_3218]) ).
cnf(c_432592,plain,
( ~ r(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432591]) ).
cnf(c_432631,plain,
( ~ r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_432592,c_3408]) ).
cnf(c_432632,plain,
( ~ r(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432631]) ).
cnf(c_432642,plain,
( ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432632,c_273468]) ).
cnf(c_432647,plain,
( ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432642]) ).
cnf(c_432931,plain,
( ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_432647,c_3386]) ).
cnf(c_432932,plain,
( ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432931]) ).
cnf(c_433269,plain,
( ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432932,c_3428,c_3414,c_3536]) ).
cnf(c_433270,plain,
( ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_433269]) ).
cnf(c_365783,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_365781,c_332498]) ).
cnf(c_365789,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_365783]) ).
cnf(c_365936,plain,
( ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_365789,c_3568]) ).
cnf(c_365937,plain,
( ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_365936]) ).
cnf(c_365949,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_365937,c_3538]) ).
cnf(c_365950,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_365949]) ).
cnf(c_366020,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_365950,c_3236]) ).
cnf(c_366021,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_366020]) ).
cnf(c_366163,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_366021,c_3408]) ).
cnf(c_366164,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_366163]) ).
cnf(c_366292,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_366164,c_3346]) ).
cnf(c_366297,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_366292]) ).
cnf(c_187,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1259) ).
cnf(c_1329,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_187]) ).
cnf(c_2067,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_1329]) ).
cnf(c_2578,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2067]) ).
cnf(c_2734,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2578]) ).
cnf(c_3438,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2734]) ).
cnf(c_367224,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366297,c_3444,c_3438]) ).
cnf(c_367225,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_367224]) ).
cnf(c_367336,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_367225,c_34995]) ).
cnf(c_367355,plain,
( ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_367336]) ).
cnf(c_367509,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367355,c_326839]) ).
cnf(c_367510,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_367509]) ).
cnf(c_433294,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433270,c_367510]) ).
cnf(c_433305,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_433294]) ).
cnf(c_367582,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_367510,c_3236]) ).
cnf(c_367583,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_367582]) ).
cnf(c_368318,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_367583,c_3402]) ).
cnf(c_368319,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_368318]) ).
cnf(c_401339,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_368319,c_346954]) ).
cnf(c_401414,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_401339]) ).
cnf(c_407878,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_401414,c_3384]) ).
cnf(c_407879,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_407878]) ).
cnf(c_408003,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_407879,c_3446,c_3536]) ).
cnf(c_408004,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408003]) ).
cnf(c_408114,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_408004,c_3378]) ).
cnf(c_408115,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408114]) ).
cnf(c_408226,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_408115,c_3532,c_3242]) ).
cnf(c_408227,plain,
( ~ r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408226]) ).
cnf(c_408303,plain,
( ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_408227,c_3374]) ).
cnf(c_408304,plain,
( ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408303]) ).
cnf(c_408381,plain,
( ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_408304,c_3532]) ).
cnf(c_408382,plain,
( ~ r(s(X0))
| qq(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408381]) ).
cnf(c_408486,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_408382,c_24512]) ).
cnf(c_408501,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408486]) ).
cnf(c_411416,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_408501,c_3532,c_41382]) ).
cnf(c_411417,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_411416]) ).
cnf(c_411430,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_411417,c_3568]) ).
cnf(c_411431,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_411430]) ).
cnf(c_411444,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_411431,c_3536]) ).
cnf(c_411445,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_411444]) ).
cnf(c_411503,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_411445,c_3236]) ).
cnf(c_411504,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_411503]) ).
cnf(c_411664,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_411504,c_3404]) ).
cnf(c_411665,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_411664]) ).
cnf(c_411889,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_411665,c_3384]) ).
cnf(c_411890,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_411889]) ).
cnf(c_412013,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_411890,c_3446,c_3538]) ).
cnf(c_412014,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_412013]) ).
cnf(c_412120,plain,
( qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_412014,c_3376]) ).
cnf(c_412125,plain,
( qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_412120]) ).
cnf(c_185,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1257) ).
cnf(c_1325,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_185]) ).
cnf(c_2065,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_1325]) ).
cnf(c_2580,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2065]) ).
cnf(c_2731,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2580]) ).
cnf(c_3432,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
inference(copy,[status(esa)],[c_2731]) ).
cnf(c_412703,plain,
( qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_412125,c_3432,c_3392]) ).
cnf(c_412704,plain,
( qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_412703]) ).
cnf(c_412770,plain,
( ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_412704,c_32762]) ).
cnf(c_412785,plain,
( ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_412770]) ).
cnf(c_412910,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_412785,c_3236]) ).
cnf(c_412911,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_412910]) ).
cnf(c_413191,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_412911,c_3408]) ).
cnf(c_413192,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_413191]) ).
cnf(c_413253,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_413192,c_3386]) ).
cnf(c_413254,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_413253]) ).
cnf(c_413304,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_413254,c_3536]) ).
cnf(c_413305,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_413304]) ).
cnf(c_413429,plain,
( r(X0)
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_413305,c_3211]) ).
cnf(c_413432,plain,
( r(X0)
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_413429]) ).
cnf(c_333226,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_332917,c_3544]) ).
cnf(c_333227,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_333226]) ).
cnf(c_336462,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_333227,c_329986]) ).
cnf(c_336583,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_336462]) ).
cnf(c_337775,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_336583,c_327011]) ).
cnf(c_337878,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_337775]) ).
cnf(c_340365,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337878,c_41389]) ).
cnf(c_340366,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_340365]) ).
cnf(c_340421,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_340366,c_3386]) ).
cnf(c_340422,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_340421]) ).
cnf(c_340605,plain,
( pp(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_340422,c_3211]) ).
cnf(c_340608,plain,
( pp(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_340605]) ).
cnf(c_342347,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_340608,c_3576,c_274125,c_3536,c_3425,c_3231]) ).
cnf(c_342348,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_342347]) ).
cnf(c_342464,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_342348,c_3378]) ).
cnf(c_342465,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_342464]) ).
cnf(c_342582,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_342465,c_3582,c_3538]) ).
cnf(c_342583,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_342582]) ).
cnf(c_413557,plain,
( r(X0)
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_413432,c_3576,c_274125,c_3425,c_342583]) ).
cnf(c_413558,plain,
( r(X0)
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_413557]) ).
cnf(c_413665,plain,
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_413558,c_3378]) ).
cnf(c_413666,plain,
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_413665]) ).
cnf(c_413774,plain,
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_413666,c_3582,c_3538]) ).
cnf(c_413775,plain,
( r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_413774]) ).
cnf(c_432752,plain,
( ~ r(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_432632,c_3390]) ).
cnf(c_432753,plain,
( ~ r(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432752]) ).
cnf(c_437458,plain,
( ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432753,c_3536,c_364142]) ).
cnf(c_437459,plain,
( ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_437458]) ).
cnf(c_437466,plain,
( ~ pp(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_437459,c_3422]) ).
cnf(c_437475,plain,
( ~ pp(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_437466]) ).
cnf(c_437511,plain,
( ~ pp(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437475,c_3410]) ).
cnf(c_437512,plain,
( ~ pp(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_437511]) ).
cnf(c_366291,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_366164,c_3448]) ).
cnf(c_366298,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_366291]) ).
cnf(c_368391,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366298,c_3582,c_3432]) ).
cnf(c_368392,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_368391]) ).
cnf(c_368506,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_368392,c_3443]) ).
cnf(c_368519,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_368506]) ).
cnf(c_437547,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_437512,c_368519]) ).
cnf(c_437548,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_437547]) ).
cnf(c_437465,plain,
( ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_437459,c_3426]) ).
cnf(c_437476,plain,
( ~ p(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_437465]) ).
cnf(c_437558,plain,
( ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_437476,c_3416]) ).
cnf(c_437571,plain,
( ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_437558]) ).
cnf(c_437809,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_437571,c_3218]) ).
cnf(c_437810,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_437809]) ).
cnf(c_389928,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_389851,c_3366]) ).
cnf(c_389929,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_389928]) ).
cnf(c_390007,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_389929,c_3558,c_3554]) ).
cnf(c_390008,plain,
( ~ pp(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_390007]) ).
cnf(c_390071,plain,
( ~ pp(X0)
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_390008,c_3380]) ).
cnf(c_390072,plain,
( ~ pp(X0)
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_390071]) ).
cnf(c_390545,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_390072,c_389807]) ).
cnf(c_390547,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_390545]) ).
cnf(c_390594,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_390547,c_6617]) ).
cnf(c_390597,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_390594]) ).
cnf(c_399353,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_390597,c_3366]) ).
cnf(c_399354,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_399353]) ).
cnf(c_399434,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_399354,c_3668,c_3622]) ).
cnf(c_399435,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_399434]) ).
cnf(c_399508,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_399435,c_3522]) ).
cnf(c_399521,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_399508]) ).
cnf(c_156834,plain,
( pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_125132]) ).
cnf(c_156868,plain,
( pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_156834]) ).
cnf(c_214421,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_214372,c_156240]) ).
cnf(c_214506,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214421]) ).
cnf(c_194359,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_194319,c_53039]) ).
cnf(c_194394,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_194359]) ).
cnf(c_200563,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194394,c_113779]) ).
cnf(c_200564,plain,
( pp(s(X0))
| ~ qq(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_200563]) ).
cnf(c_269957,plain,
( pp(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214506,c_200564,c_184812,c_156861]) ).
cnf(c_269958,plain,
( pp(s(X0))
| p(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_269957]) ).
cnf(c_399596,plain,
( p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_399521,c_3520,c_3480,c_3538,c_156868,c_269958]) ).
cnf(c_399597,plain,
( p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_399596]) ).
cnf(c_399599,plain,
( ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_399597,c_316601]) ).
cnf(c_399605,plain,
( ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_399599]) ).
cnf(c_288249,plain,
( ~ pp(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_288247,c_279723]) ).
cnf(c_288263,plain,
( ~ pp(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_288249]) ).
cnf(c_400031,plain,
( ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_399605,c_288263]) ).
cnf(c_400044,plain,
( ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_400031]) ).
cnf(c_400427,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_400044,c_3234]) ).
cnf(c_400428,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_400427]) ).
cnf(c_400480,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_400428,c_3218]) ).
cnf(c_400481,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_400480]) ).
cnf(c_400522,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_400481,c_3408]) ).
cnf(c_400523,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_400522]) ).
cnf(c_400585,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_400523,c_3386]) ).
cnf(c_400586,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_400585]) ).
cnf(c_400636,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_400586,c_3486,c_3480,c_3428,c_3414,c_360879,c_3536]) ).
cnf(c_400637,plain,
( ~ pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_400636]) ).
cnf(c_274128,plain,
( pp(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_274125,c_130000]) ).
cnf(c_274134,plain,
( pp(s(X0))
| p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_274128]) ).
cnf(c_400640,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_400637,c_274134]) ).
cnf(c_400647,plain,
( p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_400640]) ).
cnf(c_400792,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_400647,c_3218]) ).
cnf(c_400793,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_400792]) ).
cnf(c_386059,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_385910,c_3323]) ).
cnf(c_386068,plain,
( ~ pp(s(X0))
| ~ r(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_386059]) ).
cnf(c_364273,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_364157,c_3218]) ).
cnf(c_364274,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_364273]) ).
cnf(c_385729,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_384231,c_364274]) ).
cnf(c_385818,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_385729]) ).
cnf(c_387151,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_385818,c_3366]) ).
cnf(c_387152,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_387151]) ).
cnf(c_387233,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_387152,c_3558,c_3554]) ).
cnf(c_387234,plain,
( ~ pp(s(X0))
| r(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_387233]) ).
cnf(c_387296,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_387234,c_3372]) ).
cnf(c_387297,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_387296]) ).
cnf(c_388156,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_387297,c_364157]) ).
cnf(c_388157,plain,
( ~ pp(s(X0))
| r(X0)
| p(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_388156]) ).
cnf(c_394943,plain,
( ~ pp(s(X0))
| qq(X0)
| p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_386068,c_3560,c_3554,c_380269,c_388157]) ).
cnf(c_394944,plain,
( ~ pp(s(X0))
| qq(X0)
| p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_394943]) ).
cnf(c_395008,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_394944,c_3266]) ).
cnf(c_395011,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_395008]) ).
cnf(c_396081,plain,
( qq(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_395011,c_385626,c_364157]) ).
cnf(c_396082,plain,
( qq(X0)
| p(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_396081]) ).
cnf(c_396096,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_396082,c_3218]) ).
cnf(c_396097,plain,
( qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_396096]) ).
cnf(c_396297,plain,
( p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_396097,c_387679]) ).
cnf(c_396298,plain,
( p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_396297]) ).
cnf(c_400820,plain,
( p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_400793,c_396298]) ).
cnf(c_400821,plain,
( p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_400820]) ).
cnf(c_437874,plain,
( ~ r(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437810,c_400821]) ).
cnf(c_437875,plain,
( ~ r(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_437874]) ).
cnf(c_437903,plain,
( ~ r(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_437875,c_3402]) ).
cnf(c_437904,plain,
( ~ r(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_437903]) ).
cnf(c_364379,plain,
( r(s(X0))
| q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_364232,c_3402]) ).
cnf(c_364380,plain,
( r(s(X0))
| q(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_364379]) ).
cnf(c_365189,plain,
( r(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364380,c_232127]) ).
cnf(c_365190,plain,
( r(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_365189]) ).
cnf(c_438967,plain,
( ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437904,c_365190]) ).
cnf(c_438968,plain,
( ~ ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_438967]) ).
cnf(c_438981,plain,
( ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_438968,c_3558]) ).
cnf(c_438982,plain,
( ap(X0)
| ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_438981]) ).
cnf(c_438993,plain,
( ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_438982,c_3536]) ).
cnf(c_438994,plain,
( ~ ar(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_438993]) ).
cnf(c_439004,plain,
( ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_438994,c_3546]) ).
cnf(c_439005,plain,
( ap(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_439004]) ).
cnf(c_439015,plain,
( ~ ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_439005,c_3536]) ).
cnf(c_439016,plain,
( ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_439015]) ).
cnf(c_439043,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_439016,c_411445]) ).
cnf(c_439067,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_439043]) ).
cnf(c_369020,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_367932,c_3544]) ).
cnf(c_369021,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_369020]) ).
cnf(c_439484,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_439067,c_369021]) ).
cnf(c_439495,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_439484]) ).
cnf(c_350801,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_350693,c_3443]) ).
cnf(c_350814,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_350801]) ).
cnf(c_369486,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_369021,c_350814]) ).
cnf(c_369511,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_369486]) ).
cnf(c_440294,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_439495,c_369511]) ).
cnf(c_440295,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_440294]) ).
cnf(c_451921,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437548,c_440295]) ).
cnf(c_451922,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_451921]) ).
cnf(c_531906,plain,
( q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_423726,c_433305,c_413775,c_451922]) ).
cnf(c_531907,plain,
( q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_531906]) ).
cnf(c_531914,plain,
( pp(X0)
| r(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_531907,c_35775]) ).
cnf(c_531925,plain,
( pp(X0)
| r(X0)
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_531914]) ).
cnf(c_531981,plain,
( pp(X0)
| r(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_531925,c_3368,c_3402,c_3246,c_3315]) ).
cnf(c_531982,plain,
( pp(X0)
| r(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(rewriting,[status(thm)],[c_531981]) ).
cnf(c_605111,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_603044,c_531982]) ).
cnf(c_605154,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_605111]) ).
cnf(c_607130,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_605154,c_3384]) ).
cnf(c_607131,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_607130]) ).
cnf(c_611135,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_607131,c_3536]) ).
cnf(c_611136,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_611135]) ).
cnf(c_611196,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_611136,c_3269]) ).
cnf(c_611203,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_611196]) ).
cnf(c_369101,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_368519,c_3236]) ).
cnf(c_369102,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_369101]) ).
cnf(c_369457,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_369102,c_3402]) ).
cnf(c_369458,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_369457]) ).
cnf(c_273465,plain,
( r(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_273295,c_3544]) ).
cnf(c_273466,plain,
( r(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_273465]) ).
cnf(c_274032,plain,
( r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_273466,c_174298]) ).
cnf(c_274095,plain,
( r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_274032]) ).
cnf(c_312702,plain,
( r(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274095,c_297637,c_290839]) ).
cnf(c_312703,plain,
( r(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_312702]) ).
cnf(c_312706,plain,
( r(s(X0))
| q(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_312703,c_86792]) ).
cnf(c_312717,plain,
( r(s(X0))
| q(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_312706]) ).
cnf(c_313110,plain,
( r(s(X0))
| q(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_312717,c_3378]) ).
cnf(c_313111,plain,
( r(s(X0))
| q(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_313110]) ).
cnf(c_288252,plain,
( r(s(X0))
| q(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_288247,c_92924]) ).
cnf(c_288260,plain,
( r(s(X0))
| q(X0)
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288252]) ).
cnf(c_313223,plain,
( r(s(X0))
| q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_313111,c_3640,c_3552,c_288260]) ).
cnf(c_313224,plain,
( r(s(X0))
| q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_313223]) ).
cnf(c_313267,plain,
( r(X0)
| q(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_313224,c_3372]) ).
cnf(c_313268,plain,
( r(X0)
| q(X0)
| ar(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_313267]) ).
cnf(c_313523,plain,
( r(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_313268,c_3564,c_287342]) ).
cnf(c_313524,plain,
( r(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_313523]) ).
cnf(c_313536,plain,
( r(X0)
| q(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_313524,c_3644]) ).
cnf(c_313537,plain,
( r(X0)
| q(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_313536]) ).
cnf(c_313549,plain,
( r(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_313537,c_273284]) ).
cnf(c_313550,plain,
( r(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_313549]) ).
cnf(c_313552,plain,
( r(s(X0))
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_313550,c_48123]) ).
cnf(c_313556,plain,
( r(s(X0))
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_313552]) ).
cnf(c_144454,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_144379,c_3341]) ).
cnf(c_144473,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_144454]) ).
cnf(c_144765,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144473,c_3362,c_3621]) ).
cnf(c_144766,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(rewriting,[status(thm)],[c_144765]) ).
cnf(c_313653,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_313556,c_144766]) ).
cnf(c_313702,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_313653]) ).
cnf(c_154133,plain,
( pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_154046,c_3607]) ).
cnf(c_154152,plain,
( pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_154133]) ).
cnf(c_52524,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_52505,c_3218]) ).
cnf(c_52525,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_52524]) ).
cnf(c_53566,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_52525,c_3408]) ).
cnf(c_53567,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_53566]) ).
cnf(c_67270,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67260,c_53567]) ).
cnf(c_67278,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_67270]) ).
cnf(c_69915,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_67278,c_3341]) ).
cnf(c_69934,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_69915]) ).
cnf(c_80334,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69934,c_3552]) ).
cnf(c_80335,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_80334]) ).
cnf(c_155195,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_154152,c_80335]) ).
cnf(c_155206,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_155195]) ).
cnf(c_273608,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_273603,c_155206]) ).
cnf(c_273613,plain,
( pp(X0)
| r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_273608]) ).
cnf(c_156904,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_125646]) ).
cnf(c_156928,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_156904]) ).
cnf(c_343837,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_343751,c_156928]) ).
cnf(c_343938,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_343837]) ).
cnf(c_345303,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_343938,c_3464,c_3452]) ).
cnf(c_345304,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_345303]) ).
cnf(c_345413,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_345304,c_24512]) ).
cnf(c_345428,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_345413]) ).
cnf(c_345539,plain,
( pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_345428,c_3538,c_164175]) ).
cnf(c_345540,plain,
( pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_345539]) ).
cnf(c_345599,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_345540,c_3621]) ).
cnf(c_345606,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_345599]) ).
cnf(c_349255,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_345606,c_3232]) ).
cnf(c_349256,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_349255]) ).
cnf(c_349344,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_349256,c_35775]) ).
cnf(c_349357,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(s(X0))
| rr(X0)
| ~ ap(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_349344]) ).
cnf(c_352108,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_349357,c_3530,c_3372,c_3402,c_3355,c_3246,c_350693]) ).
cnf(c_352109,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| ~ rr(s(X0))
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_352108]) ).
cnf(c_352121,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_352109,c_346954]) ).
cnf(c_352210,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_352121]) ).
cnf(c_126186,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_126132,c_3232]) ).
cnf(c_126187,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_126186]) ).
cnf(c_128374,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_126187,c_3402]) ).
cnf(c_128375,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_128374]) ).
cnf(c_128442,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_128375,c_24632]) ).
cnf(c_128503,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_128442]) ).
cnf(c_236656,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128503,c_3530,c_3372]) ).
cnf(c_236657,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| p(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_236656]) ).
cnf(c_491470,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_352210,c_3372,c_236657]) ).
cnf(c_491471,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_491470]) ).
cnf(c_491550,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_491471,c_3378]) ).
cnf(c_491551,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_491550]) ).
cnf(c_491631,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491551,c_3656,c_25905]) ).
cnf(c_491632,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_491631]) ).
cnf(c_491698,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_491632,c_3392]) ).
cnf(c_491699,plain,
( ~ r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_491698]) ).
cnf(c_491765,plain,
( ~ r(s(X0))
| r(X0)
| ~ p(X0)
| aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491699,c_3317]) ).
cnf(c_491766,plain,
( ~ r(s(X0))
| r(X0)
| ~ p(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_491765]) ).
cnf(c_125219,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_125197,c_3234]) ).
cnf(c_125220,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_125219]) ).
cnf(c_125460,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_125220,c_3408]) ).
cnf(c_125461,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_125460]) ).
cnf(c_125556,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_125461,c_3386]) ).
cnf(c_125557,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_125556]) ).
cnf(c_125842,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125557,c_3486,c_3480,c_3536]) ).
cnf(c_125843,plain,
( pp(s(X0))
| ~ r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_125842]) ).
cnf(c_156909,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156895,c_125843]) ).
cnf(c_156923,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_156909]) ).
cnf(c_333314,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_333229,c_156923]) ).
cnf(c_333415,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_333314]) ).
cnf(c_338273,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_333415,c_24512]) ).
cnf(c_338288,plain,
( pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_338273]) ).
cnf(c_1337,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_191]) ).
cnf(c_2071,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_1337]) ).
cnf(c_2574,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2071]) ).
cnf(c_2740,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2574]) ).
cnf(c_3450,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2740]) ).
cnf(c_338662,plain,
( pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338288,c_3450,c_3538,c_163469]) ).
cnf(c_338663,plain,
( pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_338662]) ).
cnf(c_338723,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_338663,c_3621]) ).
cnf(c_338730,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_338723]) ).
cnf(c_338899,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338730,c_3432]) ).
cnf(c_338900,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_338899]) ).
cnf(c_433295,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433270,c_338900]) ).
cnf(c_433304,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_433295]) ).
cnf(c_436772,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433304,c_349256]) ).
cnf(c_436774,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_436772]) ).
cnf(c_11530,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_11511,c_3376]) ).
cnf(c_11535,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_11530]) ).
cnf(c_11555,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11535,c_3518,c_3392]) ).
cnf(c_11556,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_11555]) ).
cnf(c_42394,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_42392,c_11556]) ).
cnf(c_42399,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42394]) ).
cnf(c_42720,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_42399,c_3241]) ).
cnf(c_42731,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_42720]) ).
cnf(c_44701,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_42731,c_3380]) ).
cnf(c_44702,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_44701]) ).
cnf(c_44733,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44702,c_3538]) ).
cnf(c_44734,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_44733]) ).
cnf(c_44745,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_44734,c_3232]) ).
cnf(c_44746,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_44745]) ).
cnf(c_44812,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_44746,c_3236]) ).
cnf(c_44813,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_44812]) ).
cnf(c_44868,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_44813,c_3408]) ).
cnf(c_44869,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_44868]) ).
cnf(c_44925,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_44869,c_3368]) ).
cnf(c_44926,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_44925]) ).
cnf(c_44968,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44926,c_3584,c_3574,c_3536]) ).
cnf(c_44969,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_44968]) ).
cnf(c_45015,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_44969,c_3448]) ).
cnf(c_45022,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_45015]) ).
cnf(c_45242,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45022,c_3530,c_3518,c_3621,c_3315,c_42399]) ).
cnf(c_45243,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_45242]) ).
cnf(c_45269,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_45243,c_3443]) ).
cnf(c_45284,plain,
( ~ pp(s(X0))
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_45269]) ).
cnf(c_45419,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45284,c_3231]) ).
cnf(c_45420,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_45419]) ).
cnf(c_45443,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_45420,c_3296]) ).
cnf(c_45454,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_45443]) ).
cnf(c_45487,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_45454,c_3232]) ).
cnf(c_45488,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_45487]) ).
cnf(c_214719,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_214672,c_45488]) ).
cnf(c_214724,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_214719]) ).
cnf(c_437000,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_436774,c_214724]) ).
cnf(c_437005,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_437000]) ).
cnf(c_473050,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_437005,c_437571]) ).
cnf(c_473069,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_473050]) ).
cnf(c_477450,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_473069,c_214672]) ).
cnf(c_477451,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_477450]) ).
cnf(c_477474,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_477451,c_3402]) ).
cnf(c_477475,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_477474]) ).
cnf(c_477579,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_477475,c_3378]) ).
cnf(c_477580,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_477579]) ).
cnf(c_477667,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_477580,c_3660,c_3532]) ).
cnf(c_477668,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_477667]) ).
cnf(c_477734,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_477668,c_3392]) ).
cnf(c_477735,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_477734]) ).
cnf(c_477802,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_477735,c_3524,c_3532]) ).
cnf(c_477803,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_477802]) ).
cnf(c_477861,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_477803,c_35357]) ).
cnf(c_477882,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_477861]) ).
cnf(c_173173,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_173105,c_3392]) ).
cnf(c_173174,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_173173]) ).
cnf(c_179920,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173174,c_3518,c_3532]) ).
cnf(c_179921,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_179920]) ).
cnf(c_179932,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_179921,c_131624]) ).
cnf(c_179985,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_179932]) ).
cnf(c_477967,plain,
( pp(X0)
| ~ qq(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_477882,c_179985]) ).
cnf(c_477968,plain,
( pp(X0)
| ~ qq(X0)
| rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_477967]) ).
cnf(c_477974,plain,
( pp(s(X0))
| ~ qq(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_477968,c_3232]) ).
cnf(c_477975,plain,
( pp(s(X0))
| ~ qq(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_477974]) ).
cnf(c_478035,plain,
( pp(s(X0))
| ~ qq(s(X0))
| rr(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_477975,c_3404]) ).
cnf(c_478036,plain,
( pp(s(X0))
| ~ qq(s(X0))
| rr(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_478035]) ).
cnf(c_478188,plain,
( pp(s(X0))
| ~ qq(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_478036,c_3368]) ).
cnf(c_478189,plain,
( pp(s(X0))
| ~ qq(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_478188]) ).
cnf(c_478250,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_478189,c_3532,c_113779]) ).
cnf(c_478251,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_478250]) ).
cnf(c_121,negated_conjecture,
( r(X0)
| qq(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1193) ).
cnf(c_136,negated_conjecture,
( r(X0)
| qq(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1208) ).
cnf(c_582,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_136,c_582]) ).
cnf(c_845,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_121,c_582]) ).
cnf(c_1197,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_845]) ).
cnf(c_2167,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_1197]) ).
cnf(c_2478,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2167]) ).
cnf(c_2644,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2478]) ).
cnf(c_3258,negated_conjecture,
( qq(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(copy,[status(esa)],[c_2644]) ).
cnf(c_3259,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_3258]) ).
cnf(c_153816,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_153805,c_3259]) ).
cnf(c_153826,plain,
( r(X0)
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_153816]) ).
cnf(c_478302,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_478251,c_153826]) ).
cnf(c_478333,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_478302]) ).
cnf(c_478386,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_478333,c_3676,c_3660]) ).
cnf(c_478387,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_478386]) ).
cnf(c_478441,plain,
( pp(X0)
| r(X0)
| q(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_478387,c_3362]) ).
cnf(c_478442,plain,
( pp(X0)
| r(X0)
| q(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_478441]) ).
cnf(c_156845,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_39178]) ).
cnf(c_156891,plain,
( pp(X0)
| r(X0)
| ~ q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_156845]) ).
cnf(c_479231,plain,
( pp(X0)
| r(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_478442,c_3538,c_156891]) ).
cnf(c_479232,plain,
( pp(X0)
| r(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_479231]) ).
cnf(c_479240,plain,
( pp(s(X0))
| r(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_479232,c_3232]) ).
cnf(c_479241,plain,
( pp(s(X0))
| r(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479240]) ).
cnf(c_479300,plain,
( pp(s(X0))
| r(s(X0))
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_479241,c_3408]) ).
cnf(c_479301,plain,
( pp(s(X0))
| r(s(X0))
| rr(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479300]) ).
cnf(c_479373,plain,
( pp(s(X0))
| r(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_479301,c_3368]) ).
cnf(c_479374,plain,
( pp(s(X0))
| r(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479373]) ).
cnf(c_479452,plain,
( pp(s(X0))
| r(s(X0))
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_479374,c_3536]) ).
cnf(c_479453,plain,
( pp(s(X0))
| r(s(X0))
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479452]) ).
cnf(c_479522,plain,
( pp(s(X0))
| r(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_479453,c_3372]) ).
cnf(c_479523,plain,
( pp(s(X0))
| r(X0)
| rr(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479522]) ).
cnf(c_432566,plain,
( pp(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432563,c_363511]) ).
cnf(c_432582,plain,
( pp(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_432566]) ).
cnf(c_339950,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_339837,c_3534]) ).
cnf(c_339959,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_339950]) ).
cnf(c_223779,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_223719,c_3328]) ).
cnf(c_223794,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223779]) ).
cnf(c_223857,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223794,c_3374,c_3241,c_3522]) ).
cnf(c_223858,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_223857]) ).
cnf(c_156854,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_3331]) ).
cnf(c_156882,plain,
( pp(X0)
| r(X0)
| qq(s(X0))
| qq(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_156854]) ).
cnf(c_340075,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_339959,c_3452,c_223858,c_156882]) ).
cnf(c_340076,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_340075]) ).
cnf(c_340139,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_340076,c_3362]) ).
cnf(c_340140,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_340139]) ).
cnf(c_340976,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_340140,c_3538]) ).
cnf(c_340977,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_340976]) ).
cnf(c_331491,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_331379,c_3534]) ).
cnf(c_331500,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_331491]) ).
cnf(c_331615,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_331500,c_223858,c_156882]) ).
cnf(c_331616,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_331615]) ).
cnf(c_306384,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_87580,c_3386]) ).
cnf(c_306385,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ aq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_306384]) ).
cnf(c_306447,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306385,c_3486,c_3480,c_3532]) ).
cnf(c_306448,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_306447]) ).
cnf(c_306571,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_306448,c_3384]) ).
cnf(c_306572,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_306571]) ).
cnf(c_306696,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306572,c_3538]) ).
cnf(c_306697,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_306696]) ).
cnf(c_306803,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_306697,c_3534]) ).
cnf(c_306812,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_306803]) ).
cnf(c_156842,plain,
( pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_125197]) ).
cnf(c_156860,plain,
( pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_156842]) ).
cnf(c_65444,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_65413,c_3328]) ).
cnf(c_65459,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_65444]) ).
cnf(c_65493,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ rr(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65459,c_3486,c_3374,c_59054,c_3241,c_3522]) ).
cnf(c_65494,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ rr(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65493]) ).
cnf(c_65548,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_65494,c_3331]) ).
cnf(c_65557,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_65548]) ).
cnf(c_68199,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_65557,c_3362]) ).
cnf(c_68200,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_68199]) ).
cnf(c_68239,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68200,c_3538]) ).
cnf(c_68240,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_68239]) ).
cnf(c_156856,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_68240]) ).
cnf(c_156880,plain,
( pp(X0)
| r(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_156856]) ).
cnf(c_306920,plain,
( ~ pp(s(X0))
| pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306812,c_156860,c_156880,c_42230]) ).
cnf(c_306921,plain,
( ~ pp(s(X0))
| pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_306920]) ).
cnf(c_331630,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_331616,c_306921]) ).
cnf(c_331731,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_331630]) ).
cnf(c_331904,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_331731,c_156860]) ).
cnf(c_331905,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_331904]) ).
cnf(c_331919,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_331905,c_3568]) ).
cnf(c_331920,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_331919]) ).
cnf(c_331934,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_331920,c_3538]) ).
cnf(c_331935,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_331934]) ).
cnf(c_341029,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_340977,c_331935]) ).
cnf(c_341078,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_341029]) ).
cnf(c_432995,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432582,c_341078]) ).
cnf(c_433010,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_432995]) ).
cnf(c_433828,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_433010,c_3408]) ).
cnf(c_433829,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_433828]) ).
cnf(c_479334,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_479301,c_433829]) ).
cnf(c_479413,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479334]) ).
cnf(c_432575,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432563,c_365950]) ).
cnf(c_432584,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_432575]) ).
cnf(c_433261,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_432584,c_3408]) ).
cnf(c_433262,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_433261]) ).
cnf(c_479855,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_479413,c_433262]) ).
cnf(c_479856,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479855]) ).
cnf(c_479942,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_479856,c_3349]) ).
cnf(c_479955,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_479942]) ).
cnf(c_481162,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| qq(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_479955,c_3530,c_3380]) ).
cnf(c_481163,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| qq(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_481162]) ).
cnf(c_481238,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_481163,c_3460]) ).
cnf(c_481247,plain,
( pp(s(X0))
| ~ pp(X0)
| r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_481238]) ).
cnf(c_481436,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481247,c_3518,c_194950,c_432584,c_156891]) ).
cnf(c_481437,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_481436]) ).
cnf(c_481496,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_481437,c_3362]) ).
cnf(c_481497,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_481496]) ).
cnf(c_481883,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481497,c_3538]) ).
cnf(c_481884,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_481883]) ).
cnf(c_481890,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_481884,c_3232]) ).
cnf(c_481891,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_481890]) ).
cnf(c_482060,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_481891,c_3408]) ).
cnf(c_482061,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_482060]) ).
cnf(c_482091,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_482061,c_413558]) ).
cnf(c_482208,plain,
( pp(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_482091]) ).
cnf(c_433017,plain,
( pp(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_432582,c_6617]) ).
cnf(c_433020,plain,
( pp(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_433017]) ).
cnf(c_458188,plain,
( pp(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_433020,c_3408]) ).
cnf(c_458189,plain,
( pp(s(X0))
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_458188]) ).
cnf(c_458220,plain,
( ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_458189,c_388961]) ).
cnf(c_458293,plain,
( ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_458220]) ).
cnf(c_459179,plain,
( ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_458293,c_3520,c_3514,c_3486,c_3480]) ).
cnf(c_459180,plain,
( ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_459179]) ).
cnf(c_459185,plain,
( pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_459180,c_345540]) ).
cnf(c_459187,plain,
( pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_459185]) ).
cnf(c_482872,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_482208,c_3520,c_3514,c_459187]) ).
cnf(c_482873,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_482872]) ).
cnf(c_482942,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_482873,c_3392]) ).
cnf(c_482943,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_482942]) ).
cnf(c_1331,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_188]) ).
cnf(c_2068,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_1331]) ).
cnf(c_2577,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2068]) ).
cnf(c_2735,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2577]) ).
cnf(c_3440,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
inference(copy,[status(esa)],[c_2735]) ).
cnf(c_483013,plain,
( ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_482943,c_3440,c_3538,c_3621]) ).
cnf(c_483014,plain,
( ~ qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_483013]) ).
cnf(c_432629,plain,
( ~ r(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_432592,c_3544]) ).
cnf(c_432630,plain,
( ~ r(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432629]) ).
cnf(c_439077,plain,
( ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_439016,c_3218]) ).
cnf(c_439078,plain,
( ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_439077]) ).
cnf(c_443007,plain,
( ~ r(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432630,c_439078,c_437875]) ).
cnf(c_443008,plain,
( ~ r(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443007]) ).
cnf(c_410110,plain,
( r(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_410099,c_3610]) ).
cnf(c_410113,plain,
( r(X0)
| p(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_410110]) ).
cnf(c_410129,plain,
( r(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_410113,c_3232]) ).
cnf(c_410130,plain,
( r(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_410129]) ).
cnf(c_410344,plain,
( r(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_410130,c_3234]) ).
cnf(c_410345,plain,
( r(s(X0))
| p(s(X0))
| ~ ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_410344]) ).
cnf(c_273293,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_273274,c_6617]) ).
cnf(c_273296,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_273293]) ).
cnf(c_274794,plain,
( r(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_273296,c_3544]) ).
cnf(c_274795,plain,
( r(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_274794]) ).
cnf(c_274144,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_274125,c_6617]) ).
cnf(c_274147,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_274144]) ).
cnf(c_277158,plain,
( r(s(X0))
| ~ rr(s(X0))
| ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274795,c_274147]) ).
cnf(c_277159,plain,
( r(s(X0))
| ~ rr(s(X0))
| ar(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_277158]) ).
cnf(c_410576,plain,
( r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_410345,c_277159]) ).
cnf(c_410615,plain,
( r(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_410576]) ).
cnf(c_414195,plain,
( r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_410615,c_3386]) ).
cnf(c_414196,plain,
( r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_414195]) ).
cnf(c_414246,plain,
( r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_414196,c_3520,c_3514,c_3618,c_3480]) ).
cnf(c_414247,plain,
( r(s(X0))
| p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_414246]) ).
cnf(c_414324,plain,
( r(s(X0))
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_414247,c_3366]) ).
cnf(c_414325,plain,
( r(s(X0))
| p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_414324]) ).
cnf(c_414495,plain,
( r(s(X0))
| p(X0)
| ~ rr(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_414325,c_250509,c_389293]) ).
cnf(c_414496,plain,
( r(s(X0))
| p(X0)
| ~ rr(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_414495]) ).
cnf(c_443058,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_443008,c_414496]) ).
cnf(c_443199,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443058]) ).
cnf(c_448463,plain,
( p(X0)
| ~ rr(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443199,c_3428,c_3554,c_3542]) ).
cnf(c_448464,plain,
( p(X0)
| ~ rr(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_448463]) ).
cnf(c_448479,plain,
( p(s(X0))
| ~ rr(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_448464,c_3232]) ).
cnf(c_448480,plain,
( p(s(X0))
| ~ rr(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_448479]) ).
cnf(c_448523,plain,
( p(s(X0))
| ~ rr(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_448480,c_3234]) ).
cnf(c_448524,plain,
( p(s(X0))
| ~ rr(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_448523]) ).
cnf(c_448594,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_448524,c_3386]) ).
cnf(c_448595,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_448594]) ).
cnf(c_448640,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_448595,c_3520,c_3514,c_3618,c_3480]) ).
cnf(c_448641,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_448640]) ).
cnf(c_433883,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_433829,c_3386]) ).
cnf(c_433884,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_433883]) ).
cnf(c_433930,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_433884,c_3536]) ).
cnf(c_433931,plain,
( pp(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_433930]) ).
cnf(c_448654,plain,
( pp(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_448641,c_433931]) ).
cnf(c_448769,plain,
( pp(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_448654]) ).
cnf(c_454899,plain,
( qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_448769,c_3536,c_388961]) ).
cnf(c_454900,plain,
( qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_454899]) ).
cnf(c_454970,plain,
( qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_454900,c_3374]) ).
cnf(c_454971,plain,
( qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_454970]) ).
cnf(c_455042,plain,
( qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_454971,c_3538]) ).
cnf(c_455043,plain,
( qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_455042]) ).
cnf(c_345411,plain,
( pp(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_345304,c_34995]) ).
cnf(c_345430,plain,
( pp(s(X0))
| qq(X0)
| q(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_345411]) ).
cnf(c_352448,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_345430,c_164175]) ).
cnf(c_352449,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_352448]) ).
cnf(c_455048,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_455043,c_352449]) ).
cnf(c_455050,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_455048]) ).
cnf(c_483016,plain,
( pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_483014,c_455050]) ).
cnf(c_483027,plain,
( pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_483016]) ).
cnf(c_487255,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_479523,c_3676,c_3536,c_483027]) ).
cnf(c_487256,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_487255]) ).
cnf(c_487304,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_487256,c_3231]) ).
cnf(c_487307,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_487304]) ).
cnf(c_487906,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_487307,c_3660]) ).
cnf(c_487907,plain,
( r(X0)
| q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_487906]) ).
cnf(c_487918,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_487907,c_3232]) ).
cnf(c_487919,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_487918]) ).
cnf(c_488294,plain,
( r(s(X0))
| q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_487919,c_3402]) ).
cnf(c_488295,plain,
( r(s(X0))
| q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_488294]) ).
cnf(c_488393,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_488295,c_3378]) ).
cnf(c_488394,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_488393]) ).
cnf(c_488475,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_488394,c_3660,c_3532]) ).
cnf(c_488476,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_488475]) ).
cnf(c_491772,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_491766,c_488476]) ).
cnf(c_491893,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_491772]) ).
cnf(c_491901,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491893,c_3530,c_3532]) ).
cnf(c_491902,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_491901]) ).
cnf(c_491912,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_491902,c_3232]) ).
cnf(c_491913,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_491912]) ).
cnf(c_492108,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_491913,c_3404]) ).
cnf(c_492109,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_492108]) ).
cnf(c_492242,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_492109,c_3384]) ).
cnf(c_492243,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_492242]) ).
cnf(c_492334,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_492243,c_3530,c_3538]) ).
cnf(c_492335,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_492334]) ).
cnf(c_492407,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_492335,c_3315]) ).
cnf(c_492420,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_492407]) ).
cnf(c_493046,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_492420,c_3660,c_42614]) ).
cnf(c_493047,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_493046]) ).
cnf(c_493108,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_493047,c_3372]) ).
cnf(c_493109,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_493108]) ).
cnf(c_493171,plain,
( q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493109,c_3532,c_432584]) ).
cnf(c_493172,plain,
( q(X0)
| ~ p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_493171]) ).
cnf(c_156824,plain,
( pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_156821,c_96519]) ).
cnf(c_156878,plain,
( pp(X0)
| q(X0)
| p(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_156824]) ).
cnf(c_493176,plain,
( pp(X0)
| q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_493172,c_156878]) ).
cnf(c_493185,plain,
( pp(X0)
| q(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_493176]) ).
cnf(c_493210,plain,
( pp(X0)
| ~ qq(X0)
| ~ aq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_493185,c_481884]) ).
cnf(c_493213,plain,
( pp(X0)
| ~ qq(X0)
| ~ aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_493210]) ).
cnf(c_493241,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493213,c_3232]) ).
cnf(c_493242,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493241]) ).
cnf(c_493797,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ap(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493242,c_3544]) ).
cnf(c_493798,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ap(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493797]) ).
cnf(c_493187,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493172,c_3232]) ).
cnf(c_493188,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493187]) ).
cnf(c_493607,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493188,c_3408]) ).
cnf(c_493608,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493607]) ).
cnf(c_493692,plain,
( pp(X0)
| ~ qq(X0)
| q(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493608,c_3341]) ).
cnf(c_493711,plain,
( pp(X0)
| ~ qq(X0)
| q(s(X0))
| q(X0)
| rr(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493692]) ).
cnf(c_482149,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_482061,c_3396]) ).
cnf(c_482150,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_482149]) ).
cnf(c_482232,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_482150,c_3526,c_3538]) ).
cnf(c_482233,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_482232]) ).
cnf(c_482303,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_482233,c_3392]) ).
cnf(c_482304,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_482303]) ).
cnf(c_482375,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_482304,c_3518,c_3538]) ).
cnf(c_482376,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_482375]) ).
cnf(c_482430,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_482376,c_3253]) ).
cnf(c_482435,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_482430]) ).
cnf(c_483420,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_482435,c_208391]) ).
cnf(c_483421,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_483420]) ).
cnf(c_494670,plain,
( pp(X0)
| ~ qq(X0)
| q(s(X0))
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493711,c_3680,c_3518,c_483014,c_483421]) ).
cnf(c_494671,plain,
( pp(X0)
| ~ qq(X0)
| q(s(X0))
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_494670]) ).
cnf(c_494747,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_494671,c_3378]) ).
cnf(c_494748,plain,
( pp(X0)
| ~ qq(X0)
| q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_494747]) ).
cnf(c_494825,plain,
( pp(X0)
| ~ qq(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_494748,c_3538,c_483421]) ).
cnf(c_494826,plain,
( pp(X0)
| ~ qq(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_494825]) ).
cnf(c_494833,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_494826,c_3232]) ).
cnf(c_494834,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_494833]) ).
cnf(c_494881,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_494834,c_3402]) ).
cnf(c_494882,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_494881]) ).
cnf(c_495295,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_494882,c_3392]) ).
cnf(c_495296,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_495295]) ).
cnf(c_495482,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_495296,c_3524,c_3518,c_3532]) ).
cnf(c_495483,plain,
( pp(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_495482]) ).
cnf(c_483430,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_483421,c_3232]) ).
cnf(c_483431,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_483430]) ).
cnf(c_483478,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_483431,c_3402]) ).
cnf(c_483479,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_483478]) ).
cnf(c_483826,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_483479,c_3396]) ).
cnf(c_483827,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_483826]) ).
cnf(c_483905,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_483827,c_3526,c_3532]) ).
cnf(c_483906,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_483905]) ).
cnf(c_483974,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_483906,c_3392]) ).
cnf(c_483975,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_483974]) ).
cnf(c_484912,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_483975,c_3518,c_3532]) ).
cnf(c_484913,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_484912]) ).
cnf(c_192363,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_192358,c_170342]) ).
cnf(c_192367,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_192363]) ).
cnf(c_42641,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_42614,c_3556]) ).
cnf(c_42644,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_42641]) ).
cnf(c_120582,plain,
( ~ pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_42644,c_3408]) ).
cnf(c_120583,plain,
( ~ pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_120582]) ).
cnf(c_120675,plain,
( ~ pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_120583,c_3386]) ).
cnf(c_120676,plain,
( ~ pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_120675]) ).
cnf(c_120763,plain,
( ~ pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120676,c_3536]) ).
cnf(c_120764,plain,
( ~ pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_120763]) ).
cnf(c_120841,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_120764,c_3337]) ).
cnf(c_120858,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| qq(X0)
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_120841]) ).
cnf(c_131159,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| q(s(X0))
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120858,c_3362,c_3621]) ).
cnf(c_131160,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| q(s(X0))
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_131159]) ).
cnf(c_192636,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_192367,c_131160]) ).
cnf(c_192717,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_192636]) ).
cnf(c_238526,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192717,c_3514]) ).
cnf(c_238527,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_238526]) ).
cnf(c_238597,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_238527,c_3392]) ).
cnf(c_238598,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_238597]) ).
cnf(c_144815,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_144766,c_35357]) ).
cnf(c_144842,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_144815]) ).
cnf(c_133823,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_133814,c_131624]) ).
cnf(c_133900,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_133823]) ).
cnf(c_145369,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144842,c_133900]) ).
cnf(c_145370,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_145369]) ).
cnf(c_243349,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238598,c_3532,c_145370]) ).
cnf(c_243350,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_243349]) ).
cnf(c_243365,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_243350,c_144766]) ).
cnf(c_243416,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_243365]) ).
cnf(c_144824,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_144766,c_3285]) ).
cnf(c_144833,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0) ),
inference(rewriting,[status(thm)],[c_144824]) ).
cnf(c_243431,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243416,c_144833]) ).
cnf(c_243432,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_243431]) ).
cnf(c_484916,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_484913,c_243432]) ).
cnf(c_484925,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_484916]) ).
cnf(c_495485,plain,
( pp(X0)
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_495483,c_484925]) ).
cnf(c_495490,plain,
( pp(X0)
| ~ qq(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_495485]) ).
cnf(c_495610,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_495490,c_3232]) ).
cnf(c_495611,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_495610]) ).
cnf(c_496235,plain,
( pp(s(X0))
| ~ qq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493798,c_495611,c_494834]) ).
cnf(c_496236,plain,
( pp(s(X0))
| ~ qq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_496235]) ).
cnf(c_346935,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_346925,c_336583]) ).
cnf(c_346972,plain,
( pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_346935]) ).
cnf(c_346932,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_346925,c_144117]) ).
cnf(c_346934,plain,
( ~ pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_346932]) ).
cnf(c_357272,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346972,c_346934]) ).
cnf(c_357273,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_357272]) ).
cnf(c_357363,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_357273,c_3368]) ).
cnf(c_357364,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_357363]) ).
cnf(c_359969,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357364,c_3584,c_3574]) ).
cnf(c_359970,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_359969]) ).
cnf(c_360096,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_359970,c_3384]) ).
cnf(c_360097,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_360096]) ).
cnf(c_360337,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_360097,c_3315]) ).
cnf(c_360350,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_360337]) ).
cnf(c_332536,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_332498,c_143766]) ).
cnf(c_332585,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_332536]) ).
cnf(c_332623,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332585,c_3574]) ).
cnf(c_332624,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_332623]) ).
cnf(c_332694,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_332624,c_3236]) ).
cnf(c_332695,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_332694]) ).
cnf(c_333048,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_332695,c_3408]) ).
cnf(c_333049,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_333048]) ).
cnf(c_333139,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_333049,c_3368]) ).
cnf(c_333140,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_333139]) ).
cnf(c_333494,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333140,c_3584,c_3574,c_3536]) ).
cnf(c_333495,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_333494]) ).
cnf(c_333617,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_333495,c_3295]) ).
cnf(c_333626,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_333617]) ).
cnf(c_361246,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_360350,c_333626]) ).
cnf(c_361247,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_361246]) ).
cnf(c_496272,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_496236,c_361247]) ).
cnf(c_496339,plain,
( pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_496272]) ).
cnf(c_493605,plain,
( q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493188,c_3544]) ).
cnf(c_493606,plain,
( q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493605]) ).
cnf(c_496133,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493606,c_491913]) ).
cnf(c_496226,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_496133]) ).
cnf(c_498501,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_496226,c_487919]) ).
cnf(c_498502,plain,
( r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_498501]) ).
cnf(c_498586,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_498502,c_3384]) ).
cnf(c_498587,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_498586]) ).
cnf(c_493661,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493608,c_184870]) ).
cnf(c_493742,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493661]) ).
cnf(c_498670,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498587,c_3530,c_493742]) ).
cnf(c_498671,plain,
( r(s(X0))
| q(s(X0))
| ~ p(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_498670]) ).
cnf(c_498745,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_498671,c_3378]) ).
cnf(c_498746,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_498745]) ).
cnf(c_498817,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498746,c_3660,c_493172]) ).
cnf(c_498818,plain,
( r(s(X0))
| q(X0)
| ~ p(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_498817]) ).
cnf(c_452034,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_451922,c_3384]) ).
cnf(c_452035,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_452034]) ).
cnf(c_452216,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_452035,c_3315]) ).
cnf(c_452229,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_452216]) ).
cnf(c_360905,plain,
( ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_360879,c_3216]) ).
cnf(c_360906,plain,
( ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_360905]) ).
cnf(c_361000,plain,
( ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_360906,c_3218]) ).
cnf(c_361001,plain,
( ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_361000]) ).
cnf(c_361056,plain,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_361001,c_3402]) ).
cnf(c_361057,plain,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_361056]) ).
cnf(c_361697,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_361057,c_3260]) ).
cnf(c_361700,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_361697]) ).
cnf(c_424831,plain,
( qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_361700,c_3560,c_3548,c_410714,c_376405]) ).
cnf(c_424832,plain,
( qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_424831]) ).
cnf(c_424845,plain,
( pp(X0)
| qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_424832,c_3602]) ).
cnf(c_424848,plain,
( pp(X0)
| qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_424845]) ).
cnf(c_424861,plain,
( pp(X0)
| qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_424848,c_3590]) ).
cnf(c_424862,plain,
( pp(X0)
| qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_424861]) ).
cnf(c_428290,plain,
( pp(X0)
| qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_428284,c_424862]) ).
cnf(c_428291,plain,
( pp(X0)
| qq(X0)
| rr(X0)
| ~ ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_428290]) ).
cnf(c_428349,plain,
( pp(s(X0))
| qq(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428291,c_3218]) ).
cnf(c_428350,plain,
( pp(s(X0))
| qq(s(X0))
| rr(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428349]) ).
cnf(c_428463,plain,
( pp(s(X0))
| qq(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428350,c_3404]) ).
cnf(c_428464,plain,
( pp(s(X0))
| qq(s(X0))
| rr(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428463]) ).
cnf(c_428643,plain,
( pp(s(X0))
| qq(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428464,c_3368]) ).
cnf(c_428644,plain,
( pp(s(X0))
| qq(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428643]) ).
cnf(c_143678,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_143620,c_51460]) ).
cnf(c_143709,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_143678]) ).
cnf(c_382126,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_382120,c_143709]) ).
cnf(c_382136,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_382126]) ).
cnf(c_428718,plain,
( qq(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_428644,c_3532,c_382136]) ).
cnf(c_428719,plain,
( qq(s(X0))
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428718]) ).
cnf(c_428789,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428719,c_3241]) ).
cnf(c_428800,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428789]) ).
cnf(c_428871,plain,
( ~ r(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_428800,c_3416,c_382120]) ).
cnf(c_428872,plain,
( ~ r(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_428871]) ).
cnf(c_428884,plain,
( ~ r(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_428872,c_3558]) ).
cnf(c_428885,plain,
( ~ r(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_428884]) ).
cnf(c_428897,plain,
( ~ r(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_428885,c_3538]) ).
cnf(c_428898,plain,
( ~ r(X0)
| rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_428897]) ).
cnf(c_428924,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_428898,c_365950]) ).
cnf(c_428927,plain,
( ~ r(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_428924]) ).
cnf(c_428945,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_428927,c_3408]) ).
cnf(c_428946,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_428945]) ).
cnf(c_429363,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_428946,c_3368]) ).
cnf(c_429364,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_429363]) ).
cnf(c_429434,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_429364,c_3536]) ).
cnf(c_429435,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_429434]) ).
cnf(c_429554,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_429435,c_3295]) ).
cnf(c_429563,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_429554]) ).
cnf(c_469140,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_452229,c_429563]) ).
cnf(c_469141,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_469140]) ).
cnf(c_469193,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_469141,c_153826]) ).
cnf(c_469224,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_469193]) ).
cnf(c_469208,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_469141,c_3392]) ).
cnf(c_469209,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_469208]) ).
cnf(c_347088,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_346934,c_3368]) ).
cnf(c_347089,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_347088]) ).
cnf(c_386005,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_385910,c_347089]) ).
cnf(c_386122,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_386005]) ).
cnf(c_420737,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_386122,c_3378]) ).
cnf(c_420738,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_420737]) ).
cnf(c_422437,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_420738,c_3552,c_382136]) ).
cnf(c_422438,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_422437]) ).
cnf(c_439029,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_439016,c_422438]) ).
cnf(c_439052,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| qq(s(X0))
| q(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_439029]) ).
cnf(c_437522,plain,
( ~ pp(X0)
| p(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_437512,c_390072]) ).
cnf(c_437532,plain,
( ~ pp(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_437522]) ).
cnf(c_437580,plain,
( ~ pp(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_437532,c_6617]) ).
cnf(c_437583,plain,
( ~ pp(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_437580]) ).
cnf(c_363560,plain,
( pp(s(X0))
| r(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_363527,c_3544]) ).
cnf(c_363561,plain,
( pp(s(X0))
| r(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_363560]) ).
cnf(c_429706,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_428970,c_363561]) ).
cnf(c_429741,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_429706]) ).
cnf(c_364152,plain,
( r(X0)
| qq(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_364142,c_3548]) ).
cnf(c_364155,plain,
( r(X0)
| qq(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_364152]) ).
cnf(c_364183,plain,
( r(s(X0))
| qq(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_364155,c_3218]) ).
cnf(c_364184,plain,
( r(s(X0))
| qq(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_364183]) ).
cnf(c_432246,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_429741,c_364184]) ).
cnf(c_432247,plain,
( pp(s(X0))
| r(s(X0))
| qq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432246]) ).
cnf(c_432322,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_432247,c_3374]) ).
cnf(c_432323,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_432322]) ).
cnf(c_432399,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432323,c_3560,c_3548,c_362938]) ).
cnf(c_432400,plain,
( pp(s(X0))
| r(s(X0))
| qq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_432399]) ).
cnf(c_443053,plain,
( pp(s(X0))
| qq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_443008,c_432400]) ).
cnf(c_443204,plain,
( pp(s(X0))
| qq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443053]) ).
cnf(c_445251,plain,
( pp(s(X0))
| qq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443204,c_3560,c_3548]) ).
cnf(c_445252,plain,
( pp(s(X0))
| qq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_445251]) ).
cnf(c_445269,plain,
( qq(X0)
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_445252,c_390008]) ).
cnf(c_445348,plain,
( qq(X0)
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_445269]) ).
cnf(c_387762,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_387679,c_3366]) ).
cnf(c_387763,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_387762]) ).
cnf(c_387843,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_387763,c_3558,c_3554]) ).
cnf(c_387844,plain,
( ~ qq(s(X0))
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_387843]) ).
cnf(c_387918,plain,
( ~ qq(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_387844,c_3392]) ).
cnf(c_387919,plain,
( ~ qq(X0)
| p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_387918]) ).
cnf(c_387994,plain,
( ~ qq(X0)
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_387919,c_382120]) ).
cnf(c_387995,plain,
( ~ qq(X0)
| p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_387994]) ).
cnf(c_445742,plain,
( p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445348,c_387995]) ).
cnf(c_445743,plain,
( p(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_445742]) ).
cnf(c_445749,plain,
( p(s(X0))
| ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_445743,c_6617]) ).
cnf(c_445752,plain,
( p(s(X0))
| ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_445749]) ).
cnf(c_457073,plain,
( pp(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_445752,c_409810]) ).
cnf(c_457080,plain,
( pp(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_457073]) ).
cnf(c_460252,plain,
( p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437583,c_457080]) ).
cnf(c_460253,plain,
( p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_460252]) ).
cnf(c_460317,plain,
( p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_460253,c_3366]) ).
cnf(c_460318,plain,
( p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_460317]) ).
cnf(c_445746,plain,
( r(X0)
| p(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_445743,c_364157]) ).
cnf(c_445748,plain,
( r(X0)
| p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_445746]) ).
cnf(c_446291,plain,
( r(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_445748,c_6617]) ).
cnf(c_446294,plain,
( r(s(X0))
| p(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_446291]) ).
cnf(c_457379,plain,
( r(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_446294,c_3366]) ).
cnf(c_457380,plain,
( r(s(X0))
| p(X0)
| ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_457379]) ).
cnf(c_184924,plain,
( r(s(X0))
| ~ r(X0)
| q(s(X0))
| q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_184870,c_49312]) ).
cnf(c_184975,plain,
( r(s(X0))
| ~ r(X0)
| q(s(X0))
| q(X0)
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_184924]) ).
cnf(c_154135,plain,
( r(s(X0))
| ~ r(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_154046,c_3251]) ).
cnf(c_154150,plain,
( r(s(X0))
| ~ r(X0)
| ~ q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_154135]) ).
cnf(c_154338,plain,
( r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_154150,c_122396]) ).
cnf(c_154339,plain,
( r(s(X0))
| ~ r(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_154338]) ).
cnf(c_96672,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_96589,c_3251]) ).
cnf(c_96687,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_96672]) ).
cnf(c_96763,plain,
( ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96687,c_3526,c_3516,c_3253]) ).
cnf(c_96764,plain,
( ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_96763]) ).
cnf(c_154342,plain,
( ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_154339,c_96764]) ).
cnf(c_154348,plain,
( ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_154342]) ).
cnf(c_204649,plain,
( r(s(X0))
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184975,c_3668,c_154348]) ).
cnf(c_204650,plain,
( r(s(X0))
| ~ r(X0)
| q(s(X0))
| p(X0)
| ~ ap(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_204649]) ).
cnf(c_219245,plain,
( r(s(X0))
| ~ r(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_219216,c_204650]) ).
cnf(c_219344,plain,
( r(s(X0))
| ~ r(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_219245]) ).
cnf(c_225849,plain,
( r(s(X0))
| ~ r(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219344,c_3668,c_3622]) ).
cnf(c_225850,plain,
( r(s(X0))
| ~ r(X0)
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_225849]) ).
cnf(c_370556,plain,
( r(s(X0))
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_370554,c_225850]) ).
cnf(c_370561,plain,
( r(s(X0))
| p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_370556]) ).
cnf(c_457444,plain,
( r(s(X0))
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_457380,c_3668,c_3622,c_370561]) ).
cnf(c_457445,plain,
( r(s(X0))
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_457444]) ).
cnf(c_457447,plain,
( ~ pp(s(X0))
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_457445,c_407261]) ).
cnf(c_457453,plain,
( ~ pp(s(X0))
| p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_457447]) ).
cnf(c_458210,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_458189,c_457453]) ).
cnf(c_458303,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_458210]) ).
cnf(c_458332,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_458303,c_3668,c_3622]) ).
cnf(c_458333,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_458332]) ).
cnf(c_458350,plain,
( p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_458333,c_3672]) ).
cnf(c_458351,plain,
( p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_458350]) ).
cnf(c_458364,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_458351,c_3538]) ).
cnf(c_458365,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_458364]) ).
cnf(c_458379,plain,
( p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_458365,c_3608]) ).
cnf(c_458380,plain,
( p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_458379]) ).
cnf(c_458392,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_458380,c_3536]) ).
cnf(c_458393,plain,
( p(X0)
| ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_458392]) ).
cnf(c_460381,plain,
( p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_460318,c_3668,c_3622,c_458393]) ).
cnf(c_460382,plain,
( p(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_460381]) ).
cnf(c_460394,plain,
( p(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_460382,c_3672]) ).
cnf(c_460395,plain,
( p(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_460394]) ).
cnf(c_460418,plain,
( p(X0)
| ar(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_460395,c_3608]) ).
cnf(c_460419,plain,
( p(X0)
| ar(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_460418]) ).
cnf(c_460469,plain,
( p(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_460419,c_296173]) ).
cnf(c_460472,plain,
( p(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_460469]) ).
cnf(c_376658,plain,
( p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_376433,c_215655]) ).
cnf(c_376664,plain,
( p(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_376658]) ).
cnf(c_325110,plain,
( p(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_325065,c_3544]) ).
cnf(c_325111,plain,
( p(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325110]) ).
cnf(c_325968,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_325933,c_3216]) ).
cnf(c_325969,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_325968]) ).
cnf(c_326072,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_325969,c_3218]) ).
cnf(c_326073,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_326072]) ).
cnf(c_329072,plain,
( p(s(X0))
| ~ rr(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325111,c_326073]) ).
cnf(c_329073,plain,
( p(s(X0))
| ~ rr(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_329072]) ).
cnf(c_377134,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_376664,c_329073]) ).
cnf(c_377142,plain,
( p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_377134]) ).
cnf(c_377321,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_377142,c_3386]) ).
cnf(c_377322,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_377321]) ).
cnf(c_377374,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_377322,c_3464,c_3452,c_3428,c_3414]) ).
cnf(c_377375,plain,
( p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_377374]) ).
cnf(c_377457,plain,
( p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_377375,c_3366]) ).
cnf(c_377458,plain,
( p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_377457]) ).
cnf(c_377541,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_377458,c_376417,c_360879]) ).
cnf(c_377542,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_377541]) ).
cnf(c_432572,plain,
( ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432563,c_273274]) ).
cnf(c_432576,plain,
( ~ rr(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_432572]) ).
cnf(c_461315,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_460472,c_377542,c_432576,c_439016]) ).
cnf(c_461316,plain,
( p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_461315]) ).
cnf(c_175879,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175857,c_66430]) ).
cnf(c_175884,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ aq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_175879]) ).
cnf(c_176365,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_175884,c_3544]) ).
cnf(c_176366,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_176365]) ).
cnf(c_176195,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_175912,c_3386]) ).
cnf(c_176196,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_176195]) ).
cnf(c_176256,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176196,c_3428,c_3414,c_3536]) ).
cnf(c_176257,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_176256]) ).
cnf(c_176306,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_176257,c_3374]) ).
cnf(c_176307,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_176306]) ).
cnf(c_178412,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176307,c_3538]) ).
cnf(c_178413,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_178412]) ).
cnf(c_178450,plain,
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_178413,c_3372]) ).
cnf(c_178451,plain,
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_178450]) ).
cnf(c_178489,plain,
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178451,c_3536]) ).
cnf(c_178490,plain,
( r(X0)
| qq(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_178489]) ).
cnf(c_178504,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_178490,c_3218]) ).
cnf(c_178505,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_178504]) ).
cnf(c_218409,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176366,c_178505]) ).
cnf(c_218410,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_218409]) ).
cnf(c_218425,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_218410,c_41382]) ).
cnf(c_218428,plain,
( r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_218425]) ).
cnf(c_233280,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218428,c_188731]) ).
cnf(c_233281,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_233280]) ).
cnf(c_233344,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_233281,c_3386]) ).
cnf(c_233345,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_233344]) ).
cnf(c_233405,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233345,c_3428,c_3414]) ).
cnf(c_233406,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_233405]) ).
cnf(c_233517,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_233406,c_3384]) ).
cnf(c_233518,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_233517]) ).
cnf(c_233628,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233518,c_176257]) ).
cnf(c_233629,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_233628]) ).
cnf(c_439034,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_439016,c_233629]) ).
cnf(c_439047,plain,
( r(s(X0))
| qq(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_439034]) ).
cnf(c_461318,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_461316,c_439047]) ).
cnf(c_461322,plain,
( r(s(X0))
| qq(s(X0))
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_461318]) ).
cnf(c_461410,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_461322,c_3374]) ).
cnf(c_461411,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_461410]) ).
cnf(c_461479,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_461411,c_432576]) ).
cnf(c_461480,plain,
( r(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_461479]) ).
cnf(c_461488,plain,
( qq(X0)
| ~ rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_461480,c_443008]) ).
cnf(c_461577,plain,
( qq(X0)
| ~ rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_461488]) ).
cnf(c_461586,plain,
( qq(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_461577,c_3428,c_3548]) ).
cnf(c_461587,plain,
( qq(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_461586]) ).
cnf(c_461596,plain,
( qq(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_461587,c_3218]) ).
cnf(c_461597,plain,
( qq(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_461596]) ).
cnf(c_461643,plain,
( qq(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_461597,c_3386]) ).
cnf(c_461644,plain,
( qq(s(X0))
| ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_461643]) ).
cnf(c_461683,plain,
( qq(s(X0))
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_461644,c_3428,c_3414,c_439016]) ).
cnf(c_461684,plain,
( qq(s(X0))
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_461683]) ).
cnf(c_363855,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_363561,c_362061]) ).
cnf(c_363984,plain,
( pp(s(X0))
| r(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_363855]) ).
cnf(c_371264,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_363984,c_364232]) ).
cnf(c_371367,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_371264]) ).
cnf(c_402696,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_371367,c_3368]) ).
cnf(c_402697,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_402696]) ).
cnf(c_402768,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_402697,c_365190]) ).
cnf(c_402769,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_402768]) ).
cnf(c_402891,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_402769,c_3384]) ).
cnf(c_402892,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_402891]) ).
cnf(c_403015,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_402892,c_3426,c_363563]) ).
cnf(c_403016,plain,
( pp(s(X0))
| r(s(X0))
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_403015]) ).
cnf(c_403121,plain,
( pp(s(X0))
| r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_403016,c_3315]) ).
cnf(c_403134,plain,
( pp(s(X0))
| r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_403121]) ).
cnf(c_403632,plain,
( pp(s(X0))
| r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_403134,c_3552]) ).
cnf(c_403633,plain,
( pp(s(X0))
| r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_403632]) ).
cnf(c_443059,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_443008,c_403633]) ).
cnf(c_443198,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443059]) ).
cnf(c_453140,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443198,c_3426,c_3552]) ).
cnf(c_453141,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_453140]) ).
cnf(c_453194,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_453141,c_3362]) ).
cnf(c_453195,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_453194]) ).
cnf(c_453249,plain,
( pp(X0)
| q(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_453195,c_445743]) ).
cnf(c_453250,plain,
( pp(X0)
| q(X0)
| rr(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_453249]) ).
cnf(c_453257,plain,
( pp(s(X0))
| q(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_453250,c_3218]) ).
cnf(c_453258,plain,
( pp(s(X0))
| q(s(X0))
| rr(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_453257]) ).
cnf(c_437877,plain,
( q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_437875,c_364232]) ).
cnf(c_437882,plain,
( q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_437877]) ).
cnf(c_453569,plain,
( pp(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_453258,c_437882]) ).
cnf(c_453570,plain,
( pp(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_453569]) ).
cnf(c_453633,plain,
( pp(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_453570,c_3368]) ).
cnf(c_453634,plain,
( pp(s(X0))
| q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_453633]) ).
cnf(c_453694,plain,
( pp(s(X0))
| q(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_453634,c_439016]) ).
cnf(c_453695,plain,
( pp(s(X0))
| q(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_453694]) ).
cnf(c_453777,plain,
( pp(s(X0))
| q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_453695,c_3378]) ).
cnf(c_453778,plain,
( pp(s(X0))
| q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_453777]) ).
cnf(c_432565,plain,
( pp(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432563,c_363358]) ).
cnf(c_432583,plain,
( pp(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_432565]) ).
cnf(c_453861,plain,
( pp(s(X0))
| q(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_453778,c_3552,c_432583]) ).
cnf(c_453862,plain,
( pp(s(X0))
| q(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_453861]) ).
cnf(c_464051,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_439052,c_461684,c_453862]) ).
cnf(c_464052,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_464051]) ).
cnf(c_464119,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_464052,c_3374]) ).
cnf(c_464120,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_464119]) ).
cnf(c_432568,plain,
( ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432563,c_176917]) ).
cnf(c_432580,plain,
( ~ q(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_432568]) ).
cnf(c_433218,plain,
( r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432580,c_188953]) ).
cnf(c_433222,plain,
( r(s(X0))
| qq(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_433218]) ).
cnf(c_443051,plain,
( qq(X0)
| ~ q(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_443008,c_433222]) ).
cnf(c_443206,plain,
( qq(X0)
| ~ q(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443051]) ).
cnf(c_445363,plain,
( qq(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443206,c_3420,c_3548]) ).
cnf(c_445364,plain,
( qq(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_445363]) ).
cnf(c_464732,plain,
( ~ r(s(X0))
| qq(X0)
| aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_464120,c_3560,c_445364]) ).
cnf(c_464733,plain,
( ~ r(s(X0))
| qq(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_464732]) ).
cnf(c_408471,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_408382,c_143205]) ).
cnf(c_408516,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_408471]) ).
cnf(c_408770,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_408516,c_3574]) ).
cnf(c_408771,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_408770]) ).
cnf(c_361325,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_361247,c_3374]) ).
cnf(c_361326,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_361325]) ).
cnf(c_408777,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0)
| rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_408771,c_361326]) ).
cnf(c_408779,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_408777]) ).
cnf(c_464738,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_464733,c_408779]) ).
cnf(c_464739,plain,
( ~ r(s(X0))
| qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_464738]) ).
cnf(c_469507,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_469209,c_464739]) ).
cnf(c_469508,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_469507]) ).
cnf(c_469778,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_469224,c_469508,c_432584]) ).
cnf(c_469779,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_469778]) ).
cnf(c_507654,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_496339,c_3530,c_3660,c_498818,c_469779]) ).
cnf(c_507655,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_507654]) ).
cnf(c_507662,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ar(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_507655,c_3232]) ).
cnf(c_507663,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ar(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_507662]) ).
cnf(c_494841,plain,
( pp(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_494826,c_3398]) ).
cnf(c_494842,plain,
( pp(X0)
| ~ qq(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_494841]) ).
cnf(c_437469,plain,
( qq(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_437459,c_3560]) ).
cnf(c_437472,plain,
( qq(X0)
| ~ ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_437469]) ).
cnf(c_437482,plain,
( qq(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437472,c_3548]) ).
cnf(c_437483,plain,
( qq(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_437482]) ).
cnf(c_498069,plain,
( ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_494842,c_437483,c_437512]) ).
cnf(c_498070,plain,
( ~ ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_498069]) ).
cnf(c_439127,plain,
( ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_439078,c_3404]) ).
cnf(c_439128,plain,
( ~ aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_439127]) ).
cnf(c_467687,plain,
( ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_439128,c_3558]) ).
cnf(c_467688,plain,
( ap(X0)
| ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_467687]) ).
cnf(c_467699,plain,
( ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_467688,c_3538]) ).
cnf(c_467700,plain,
( ~ aq(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_467699]) ).
cnf(c_467710,plain,
( ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_467700,c_3546]) ).
cnf(c_467711,plain,
( ap(X0)
| ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_467710]) ).
cnf(c_467721,plain,
( ~ aq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_467711,c_3538]) ).
cnf(c_467722,plain,
( ~ aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_467721]) ).
cnf(c_467735,plain,
( ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_467722,c_6617]) ).
cnf(c_467738,plain,
( ~ aq(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_467735]) ).
cnf(c_468037,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_467738,c_3408]) ).
cnf(c_468038,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_468037]) ).
cnf(c_468059,plain,
( ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_468038,c_3672]) ).
cnf(c_468060,plain,
( ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_468059]) ).
cnf(c_468074,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_468060,c_3538]) ).
cnf(c_468075,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_468074]) ).
cnf(c_468088,plain,
( ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_468075,c_3656]) ).
cnf(c_468089,plain,
( ~ ap(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_468088]) ).
cnf(c_468102,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_468089,c_3538]) ).
cnf(c_468103,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_468102]) ).
cnf(c_468115,plain,
( ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_468103,c_3618]) ).
cnf(c_468116,plain,
( ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_468115]) ).
cnf(c_468128,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_468116,c_3536]) ).
cnf(c_468129,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_468128]) ).
cnf(c_468140,plain,
( ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_468129,c_3608]) ).
cnf(c_468141,plain,
( ~ ap(X0)
| ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_468140]) ).
cnf(c_468152,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_468141,c_3536]) ).
cnf(c_468153,plain,
( ~ ap(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_468152]) ).
cnf(c_468167,plain,
( ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_468153,c_3232]) ).
cnf(c_468168,plain,
( ~ ap(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_468167]) ).
cnf(c_498094,plain,
( ~ ap(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_498070,c_468168]) ).
cnf(c_498125,plain,
( ~ ap(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_498094]) ).
cnf(c_507699,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_507663,c_498125]) ).
cnf(c_507758,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_507699]) ).
cnf(c_507948,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507758,c_493606]) ).
cnf(c_507949,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_507948]) ).
cnf(c_507966,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_507949,c_3536]) ).
cnf(c_507967,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_507966]) ).
cnf(c_507957,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_507949,c_439067]) ).
cnf(c_507976,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_507957]) ).
cnf(c_452222,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_452035,c_3378]) ).
cnf(c_452223,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_452222]) ).
cnf(c_464058,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_464052,c_452223]) ).
cnf(c_464181,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_464058]) ).
cnf(c_470817,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_464181,c_3558,c_467722,c_445743]) ).
cnf(c_470818,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_470817]) ).
cnf(c_498834,plain,
( ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_498818,c_470818]) ).
cnf(c_498923,plain,
( ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_498834]) ).
cnf(c_433215,plain,
( r(s(X0))
| ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432580,c_219926]) ).
cnf(c_433225,plain,
( r(s(X0))
| ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_433215]) ).
cnf(c_443050,plain,
( ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_443008,c_433225]) ).
cnf(c_443207,plain,
( ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443050]) ).
cnf(c_445521,plain,
( ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443207,c_3420]) ).
cnf(c_445522,plain,
( ~ q(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_445521]) ).
cnf(c_445535,plain,
( ~ q(X0)
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_445522,c_3546]) ).
cnf(c_445536,plain,
( ~ q(X0)
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_445535]) ).
cnf(c_503596,plain,
( ~ pp(s(X0))
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498923,c_445743,c_445536]) ).
cnf(c_503597,plain,
( ~ pp(s(X0))
| ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_503596]) ).
cnf(c_46196,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46132,c_3236]) ).
cnf(c_46197,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46196]) ).
cnf(c_46250,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46197,c_3408]) ).
cnf(c_46251,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46250]) ).
cnf(c_46305,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_46251,c_3368]) ).
cnf(c_46306,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_46305]) ).
cnf(c_47168,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46306,c_3584,c_3574,c_3536]) ).
cnf(c_47169,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_47168]) ).
cnf(c_47214,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_47169,c_3346]) ).
cnf(c_47219,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_47214]) ).
cnf(c_47266,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47219,c_3530,c_3660,c_3485,c_3315]) ).
cnf(c_47267,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_47266]) ).
cnf(c_47302,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_47267,c_3390]) ).
cnf(c_47303,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_47302]) ).
cnf(c_111824,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47303,c_3536,c_3231]) ).
cnf(c_111825,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_111824]) ).
cnf(c_111879,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_111825,c_3296]) ).
cnf(c_111890,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_111879]) ).
cnf(c_111953,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_111890,c_3232]) ).
cnf(c_111954,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_111953]) ).
cnf(c_112066,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_111954,c_3236]) ).
cnf(c_112067,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_112066]) ).
cnf(c_440354,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_440295,c_112067]) ).
cnf(c_440387,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_440354]) ).
cnf(c_440496,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_440387,c_3551]) ).
cnf(c_440503,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_440496]) ).
cnf(c_440983,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_440503,c_3524,c_3518,c_3444,c_3432]) ).
cnf(c_440984,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_440983]) ).
cnf(c_441092,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_440984,c_3384]) ).
cnf(c_441093,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_441092]) ).
cnf(c_441202,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_441093,c_3380]) ).
cnf(c_441203,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_441202]) ).
cnf(c_441296,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| aq(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_441203,c_3378]) ).
cnf(c_441297,plain,
( ~ pp(X0)
| ~ r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_441296]) ).
cnf(c_441391,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_441297,c_429563,c_408779]) ).
cnf(c_441392,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| aq(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_441391]) ).
cnf(c_493180,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_493172,c_441392]) ).
cnf(c_493186,plain,
( ~ pp(X0)
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_493180]) ).
cnf(c_498820,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_498818,c_493186]) ).
cnf(c_498824,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_498820]) ).
cnf(c_500259,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_498824,c_3232]) ).
cnf(c_500260,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_500259]) ).
cnf(c_500817,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_500260,c_3236]) ).
cnf(c_500818,plain,
( ~ pp(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_500817]) ).
cnf(c_500969,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_500818,c_3551]) ).
cnf(c_500976,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0)
| rpq2(X0)
| rpq1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_500969]) ).
cnf(c_496305,plain,
( pp(s(X0))
| ~ qq(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_496236,c_3392]) ).
cnf(c_496306,plain,
( pp(s(X0))
| ~ qq(X0)
| aq(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_496305]) ).
cnf(c_496428,plain,
( pp(s(X0))
| ~ qq(X0)
| aq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_496306,c_3672,c_3518]) ).
cnf(c_496429,plain,
( pp(s(X0))
| ~ qq(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_496428]) ).
cnf(c_496482,plain,
( pp(X0)
| ~ qq(X0)
| ap(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_496429,c_3362]) ).
cnf(c_496483,plain,
( pp(X0)
| ~ qq(X0)
| ap(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_496482]) ).
cnf(c_497027,plain,
( pp(X0)
| ~ qq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_496483,c_493213,c_494826]) ).
cnf(c_497028,plain,
( pp(X0)
| ~ qq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_497027]) ).
cnf(c_501806,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_500976,c_3524,c_3518,c_3584,c_3432,c_497028]) ).
cnf(c_501807,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_501806]) ).
cnf(c_501883,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_501807,c_3384]) ).
cnf(c_501884,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_501883]) ).
cnf(c_503601,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_503597,c_501884]) ).
cnf(c_503605,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_503601]) ).
cnf(c_504181,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_503605,c_3378]) ).
cnf(c_504182,plain,
( ~ pp(s(X0))
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_504181]) ).
cnf(c_504248,plain,
( ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_504182,c_493172,c_496429]) ).
cnf(c_504249,plain,
( ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_504248]) ).
cnf(c_504256,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_504249,c_3232]) ).
cnf(c_504257,plain,
( ~ qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_504256]) ).
cnf(c_508069,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_507976,c_504257]) ).
cnf(c_508076,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_508069]) ).
cnf(c_509159,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507967,c_508076]) ).
cnf(c_509160,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_509159]) ).
cnf(c_509214,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_509160,c_3551]) ).
cnf(c_509221,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_509214]) ).
cnf(c_509560,plain,
( ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_509221,c_3524,c_3518,c_497028]) ).
cnf(c_509561,plain,
( ~ qq(X0)
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_509560]) ).
cnf(c_509609,plain,
( r(s(X0))
| ~ qq(X0)
| q(s(X0))
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_509561,c_154046]) ).
cnf(c_509662,plain,
( r(s(X0))
| ~ qq(X0)
| q(s(X0))
| rr(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_509609]) ).
cnf(c_510060,plain,
( r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_509662,c_483014]) ).
cnf(c_510061,plain,
( r(s(X0))
| ~ qq(X0)
| q(s(X0))
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510060]) ).
cnf(c_510125,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_510061,c_3378]) ).
cnf(c_510126,plain,
( r(s(X0))
| ~ qq(X0)
| q(X0)
| ~ ap(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510125]) ).
cnf(c_510191,plain,
( r(s(X0))
| ~ qq(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510126,c_3538,c_483421]) ).
cnf(c_510192,plain,
( r(s(X0))
| ~ qq(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510191]) ).
cnf(c_510247,plain,
( r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_510192,c_3372]) ).
cnf(c_510248,plain,
( r(X0)
| ~ qq(X0)
| ~ ap(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510247]) ).
cnf(c_510635,plain,
( r(X0)
| ~ qq(X0)
| ~ ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510248,c_3536]) ).
cnf(c_510636,plain,
( r(X0)
| ~ qq(X0)
| ~ ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510635]) ).
cnf(c_510643,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_510636,c_3232]) ).
cnf(c_510644,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_510643]) ).
cnf(c_483454,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_483431,c_477451]) ).
cnf(c_483460,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_483454]) ).
cnf(c_510785,plain,
( ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510644,c_483460]) ).
cnf(c_510786,plain,
( ~ qq(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_510785]) ).
cnf(c_510802,plain,
( ~ qq(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_510786,c_3402]) ).
cnf(c_510803,plain,
( ~ qq(s(X0))
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_510802]) ).
cnf(c_433826,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_433010,c_3544]) ).
cnf(c_433827,plain,
( pp(X0)
| qq(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_433826]) ).
cnf(c_53065,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_53039,c_3534]) ).
cnf(c_53074,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_53065]) ).
cnf(c_53358,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ rr(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53074,c_3520,c_3374,c_28248,c_3221,c_3522]) ).
cnf(c_53359,plain,
( pp(s(X0))
| ~ qq(s(X0))
| qq(X0)
| ~ rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_53358]) ).
cnf(c_423547,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_418948,c_53359]) ).
cnf(c_423564,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| ~ rq(X0)
| qp(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_423547]) ).
cnf(c_427401,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_423564,c_3486,c_3614,c_3428,c_3548,c_3542]) ).
cnf(c_427402,plain,
( pp(s(X0))
| qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_427401]) ).
cnf(c_427471,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_427402,c_3362]) ).
cnf(c_427472,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_427471]) ).
cnf(c_427646,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_427472,c_3536]) ).
cnf(c_427647,plain,
( pp(X0)
| qq(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_427646]) ).
cnf(c_290661,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_290651,c_3214]) ).
cnf(c_290662,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290661]) ).
cnf(c_290767,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_290662,c_3402]) ).
cnf(c_290768,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_290767]) ).
cnf(c_305973,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_290768,c_3311]) ).
cnf(c_305980,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_305973]) ).
cnf(c_306041,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_305980,c_3502,c_3500,c_290481,c_3313]) ).
cnf(c_306042,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_306041]) ).
cnf(c_306119,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_306042,c_3374]) ).
cnf(c_306120,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_306119]) ).
cnf(c_306196,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306120,c_3532,c_41382]) ).
cnf(c_306197,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_306196]) ).
cnf(c_306258,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_306197,c_3362]) ).
cnf(c_306259,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_306258]) ).
cnf(c_307049,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306259,c_3536]) ).
cnf(c_307050,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_307049]) ).
cnf(c_427662,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_427647,c_307050]) ).
cnf(c_427685,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_427662]) ).
cnf(c_431072,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_427685,c_3234]) ).
cnf(c_431073,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_431072]) ).
cnf(c_437329,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_433827,c_431073]) ).
cnf(c_437450,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_437329]) ).
cnf(c_486328,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_437450,c_433305]) ).
cnf(c_486329,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_486328]) ).
cnf(c_486371,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_486329,c_3311]) ).
cnf(c_486376,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_486371]) ).
cnf(c_338916,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_338900,c_3234]) ).
cnf(c_338917,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_338916]) ).
cnf(c_433285,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433270,c_338917]) ).
cnf(c_433314,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_433285]) ).
cnf(c_435558,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_433314,c_3402]) ).
cnf(c_435559,plain,
( ~ r(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_435558]) ).
cnf(c_466185,plain,
( pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_435559,c_3311]) ).
cnf(c_466190,plain,
( pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_466185]) ).
cnf(c_466231,plain,
( ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_466190,c_3488,c_3616,c_213125,c_24557,c_350693]) ).
cnf(c_466232,plain,
( ~ r(X0)
| ~ qq(s(X0))
| q(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_466231]) ).
cnf(c_367340,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_367225,c_3309]) ).
cnf(c_367351,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_367340]) ).
cnf(c_367718,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367351,c_122396]) ).
cnf(c_367719,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_367718]) ).
cnf(c_433293,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433270,c_367719]) ).
cnf(c_433306,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_433293]) ).
cnf(c_438496,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_433306,c_3402]) ).
cnf(c_438497,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_438496]) ).
cnf(c_462845,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_438497,c_3311]) ).
cnf(c_462850,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_462845]) ).
cnf(c_462889,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_462850,c_24557,c_350693]) ).
cnf(c_462890,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_462889]) ).
cnf(c_462986,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_462890,c_3384]) ).
cnf(c_462987,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_462986]) ).
cnf(c_463083,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_462987,c_3536]) ).
cnf(c_463084,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_463083]) ).
cnf(c_487468,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_486376,c_3488,c_3476,c_3313,c_466232,c_463084]) ).
cnf(c_487469,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(s(X0))
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_487468]) ).
cnf(c_487561,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_487469,c_3384]) ).
cnf(c_487562,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_487561]) ).
cnf(c_487654,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_487562,c_3536,c_440295]) ).
cnf(c_487655,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_487654]) ).
cnf(c_463087,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_463084,c_338004]) ).
cnf(c_463092,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_463087]) ).
cnf(c_487662,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_487655,c_463092]) ).
cnf(c_487664,plain,
( pp(X0)
| ~ r(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_487662]) ).
cnf(c_510824,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_510803,c_487664]) ).
cnf(c_510919,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_510824]) ).
cnf(c_498878,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_498818,c_3372]) ).
cnf(c_498879,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_498878]) ).
cnf(c_499473,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498879,c_491902]) ).
cnf(c_499474,plain,
( r(X0)
| q(X0)
| ~ p(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_499473]) ).
cnf(c_488518,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_488476,c_350693]) ).
cnf(c_488565,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_488518]) ).
cnf(c_489501,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_488565,c_3530]) ).
cnf(c_489502,plain,
( ~ pp(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_489501]) ).
cnf(c_511019,plain,
( q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510919,c_3530,c_3660,c_499474,c_489502]) ).
cnf(c_511020,plain,
( q(X0)
| ~ p(X0)
| ~ ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_511019]) ).
cnf(c_508127,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_507976,c_3368]) ).
cnf(c_508128,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_508127]) ).
cnf(c_508255,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_508128,c_3295]) ).
cnf(c_508264,plain,
( qq(s(X0))
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_508255]) ).
cnf(c_510308,plain,
( qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_508264,c_3530,c_3660,c_3315]) ).
cnf(c_510309,plain,
( qq(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510308]) ).
cnf(c_510389,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_510309,c_3374]) ).
cnf(c_510390,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| aq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510389]) ).
cnf(c_509632,plain,
( ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_509561,c_3448]) ).
cnf(c_509639,plain,
( ~ qq(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_509632]) ).
cnf(c_510031,plain,
( ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_509639,c_3315]) ).
cnf(c_510032,plain,
( ~ qq(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510031]) ).
cnf(c_510471,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510390,c_493172,c_510032]) ).
cnf(c_510472,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_510471]) ).
cnf(c_511026,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_511020,c_510472]) ).
cnf(c_511032,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_511026]) ).
cnf(c_443066,plain,
( q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_443008,c_313556]) ).
cnf(c_443191,plain,
( q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443066]) ).
cnf(c_443239,plain,
( q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443191,c_3552]) ).
cnf(c_443240,plain,
( q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_443239]) ).
cnf(c_443246,plain,
( q(X0)
| ~ p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_443240,c_3426]) ).
cnf(c_443257,plain,
( q(X0)
| ~ p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_443246]) ).
cnf(c_511378,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_511032,c_443257]) ).
cnf(c_511387,plain,
( q(X0)
| ~ p(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_511378]) ).
cnf(c_512068,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_511387,c_3218]) ).
cnf(c_512069,plain,
( q(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512068]) ).
cnf(c_445750,plain,
( p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_445743,c_3218]) ).
cnf(c_445751,plain,
( p(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_445750]) ).
cnf(c_445758,plain,
( p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445751,c_400821]) ).
cnf(c_445759,plain,
( p(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_445758]) ).
cnf(c_512076,plain,
( q(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_512069,c_445759]) ).
cnf(c_512077,plain,
( q(s(X0))
| rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512076]) ).
cnf(c_512133,plain,
( q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_512077,c_3368]) ).
cnf(c_512134,plain,
( q(s(X0))
| rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512133]) ).
cnf(c_512187,plain,
( q(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_512134,c_439016]) ).
cnf(c_512188,plain,
( q(s(X0))
| rr(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512187]) ).
cnf(c_512250,plain,
( q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_512188,c_3378]) ).
cnf(c_512251,plain,
( q(X0)
| rr(X0)
| aq(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512250]) ).
cnf(c_512314,plain,
( q(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_512251,c_3552,c_467722]) ).
cnf(c_512315,plain,
( q(X0)
| rr(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512314]) ).
cnf(c_512325,plain,
( qq(X0)
| q(X0)
| rr(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_512315,c_3560]) ).
cnf(c_512328,plain,
( qq(X0)
| q(X0)
| rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_512325]) ).
cnf(c_512348,plain,
( qq(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_512328,c_461587,c_445364]) ).
cnf(c_512349,plain,
( qq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_512348]) ).
cnf(c_511035,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_511020,c_3232]) ).
cnf(c_511036,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_511035]) ).
cnf(c_511058,plain,
( q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_511036,c_493606]) ).
cnf(c_511062,plain,
( q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_511058]) ).
cnf(c_498109,plain,
( ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_498070,c_3216]) ).
cnf(c_498110,plain,
( ~ ap(s(X0))
| ~ rq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_498109]) ).
cnf(c_498203,plain,
( ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_498110,c_3218]) ).
cnf(c_498204,plain,
( ~ ap(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_498203]) ).
cnf(c_511149,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_511062,c_498204]) ).
cnf(c_511212,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_511149]) ).
cnf(c_517886,plain,
( q(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_511212,c_3398,c_445759]) ).
cnf(c_517887,plain,
( q(s(X0))
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_517886]) ).
cnf(c_517953,plain,
( q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_517887,c_3378]) ).
cnf(c_517954,plain,
( q(X0)
| aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_517953]) ).
cnf(c_445529,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_445522,c_3416]) ).
cnf(c_445542,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_445529]) ).
cnf(c_445646,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_445542,c_3398]) ).
cnf(c_445647,plain,
( ~ r(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_445646]) ).
cnf(c_447871,plain,
( ~ q(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445647,c_208957]) ).
cnf(c_447872,plain,
( ~ q(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_447871]) ).
cnf(c_518021,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_517954,c_467722,c_447872]) ).
cnf(c_518022,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_518021]) ).
cnf(c_518037,plain,
( aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_518022,c_3672]) ).
cnf(c_518038,plain,
( aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_518037]) ).
cnf(c_518053,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518038,c_467722]) ).
cnf(c_518054,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_518053]) ).
cnf(c_518068,plain,
( aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_518054,c_3656]) ).
cnf(c_518069,plain,
( aq(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_518068]) ).
cnf(c_518083,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518069,c_467722]) ).
cnf(c_518084,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_518083]) ).
cnf(c_518097,plain,
( ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_518084,c_3598]) ).
cnf(c_518098,plain,
( ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_518097]) ).
cnf(c_518111,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518098,c_439016]) ).
cnf(c_518112,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_518111]) ).
cnf(c_518124,plain,
( ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_518112,c_3586]) ).
cnf(c_518125,plain,
( ar(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_518124]) ).
cnf(c_518137,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518125,c_439016]) ).
cnf(c_518138,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_518137]) ).
cnf(c_518153,plain,
( ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_518138,c_3558]) ).
cnf(c_518154,plain,
( ap(X0)
| ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_518153]) ).
cnf(c_518165,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518154,c_498070]) ).
cnf(c_518166,plain,
( ~ rq(X0)
| ~ qp(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_518165]) ).
cnf(c_518176,plain,
( ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_518166,c_3546]) ).
cnf(c_518177,plain,
( ap(X0)
| ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_518176]) ).
cnf(c_518187,plain,
( ~ rq(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518177,c_498070]) ).
cnf(c_518188,plain,
( ~ rq(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_518187]) ).
cnf(c_498514,plain,
( r(s(X0))
| q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_498502,c_460253]) ).
cnf(c_498659,plain,
( r(s(X0))
| q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_498514]) ).
cnf(c_445634,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_445542,c_3232]) ).
cnf(c_445635,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_445634]) ).
cnf(c_445696,plain,
( ~ q(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445635,c_220133]) ).
cnf(c_445697,plain,
( ~ q(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_445696]) ).
cnf(c_445703,plain,
( ~ q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_445697,c_6617]) ).
cnf(c_445706,plain,
( ~ q(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_445703]) ).
cnf(c_466303,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ ar(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_466232,c_24471]) ).
cnf(c_466306,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| ~ ar(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_466303]) ).
cnf(c_466796,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_466306,c_3390]) ).
cnf(c_466797,plain,
( r(s(X0))
| ~ r(X0)
| q(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_466796]) ).
cnf(c_466812,plain,
( ~ r(X0)
| q(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_466797,c_443008]) ).
cnf(c_466899,plain,
( ~ r(X0)
| q(X0)
| ~ rq(X0)
| qp(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_466812]) ).
cnf(c_466914,plain,
( ~ r(X0)
| q(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_466899,c_3416]) ).
cnf(c_466915,plain,
( ~ r(X0)
| q(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_466914]) ).
cnf(c_466927,plain,
( ~ r(X0)
| q(X0)
| ap(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_466915,c_3558]) ).
cnf(c_466928,plain,
( ~ r(X0)
| q(X0)
| ap(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_466927]) ).
cnf(c_466951,plain,
( ~ r(s(X0))
| q(s(X0))
| ap(s(X0))
| ~ rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_466928,c_3234]) ).
cnf(c_466952,plain,
( ~ r(s(X0))
| q(s(X0))
| ap(s(X0))
| ~ rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_466951]) ).
cnf(c_467070,plain,
( ~ r(s(X0))
| q(s(X0))
| ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_466952,c_6617]) ).
cnf(c_467073,plain,
( ~ r(s(X0))
| q(s(X0))
| ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_467070]) ).
cnf(c_468364,plain,
( ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_468168,c_3234]) ).
cnf(c_468365,plain,
( ~ ap(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_468364]) ).
cnf(c_470959,plain,
( ~ r(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_467073,c_468365,c_445706]) ).
cnf(c_470960,plain,
( ~ r(s(X0))
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_470959]) ).
cnf(c_499637,plain,
( qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498659,c_445706,c_470960]) ).
cnf(c_499638,plain,
( qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_499637]) ).
cnf(c_499650,plain,
( r(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_499638,c_3676]) ).
cnf(c_499653,plain,
( r(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_499650]) ).
cnf(c_499823,plain,
( r(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_499653,c_3610]) ).
cnf(c_499824,plain,
( r(X0)
| qp(X0)
| pr(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_499823]) ).
cnf(c_499835,plain,
( r(X0)
| q(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_499824,c_3660]) ).
cnf(c_499838,plain,
( r(X0)
| q(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_499835]) ).
cnf(c_499881,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_499838,c_3482]) ).
cnf(c_499888,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_499881]) ).
cnf(c_499834,plain,
( pp(X0)
| r(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_499824,c_3664]) ).
cnf(c_499839,plain,
( pp(X0)
| r(X0)
| qp(X0)
| pr(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_499834]) ).
cnf(c_499906,plain,
( pp(X0)
| r(X0)
| qq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_499839,c_3624]) ).
cnf(c_499911,plain,
( pp(X0)
| r(X0)
| qq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_499906]) ).
cnf(c_500021,plain,
( pp(X0)
| r(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_499911,c_497028]) ).
cnf(c_500022,plain,
( pp(X0)
| r(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_500021]) ).
cnf(c_500048,plain,
( r(X0)
| q(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_499888,c_500022]) ).
cnf(c_500049,plain,
( r(X0)
| q(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_500048]) ).
cnf(c_500069,plain,
( r(X0)
| q(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_500049,c_313550]) ).
cnf(c_500072,plain,
( r(X0)
| q(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_500069]) ).
cnf(c_503203,plain,
( q(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_500072,c_466915]) ).
cnf(c_503211,plain,
( q(X0)
| ~ rq(X0)
| qp(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_503203]) ).
cnf(c_503446,plain,
( ~ pp(X0)
| q(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_503211,c_3422]) ).
cnf(c_503455,plain,
( ~ pp(X0)
| q(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_503446]) ).
cnf(c_445531,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ rq(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_445522,c_3410]) ).
cnf(c_445540,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_445531]) ).
cnf(c_443247,plain,
( ~ pp(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_443240,c_3422]) ).
cnf(c_443256,plain,
( ~ pp(X0)
| q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_443247]) ).
cnf(c_279857,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_279829,c_3544]) ).
cnf(c_279858,plain,
( ~ pp(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_279857]) ).
cnf(c_286396,plain,
( ~ pp(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_286376,c_174297]) ).
cnf(c_286405,plain,
( ~ pp(s(X0))
| ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_286396]) ).
cnf(c_288933,plain,
( ~ r(X0)
| qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_288857,c_3323]) ).
cnf(c_288942,plain,
( ~ r(X0)
| qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288933]) ).
cnf(c_294396,plain,
( qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288942,c_3652,c_3560,c_3554,c_291339]) ).
cnf(c_294397,plain,
( qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_294396]) ).
cnf(c_294410,plain,
( qq(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_294397,c_3628]) ).
cnf(c_294411,plain,
( qq(X0)
| p(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_294410]) ).
cnf(c_294424,plain,
( qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_294411,c_3538]) ).
cnf(c_294425,plain,
( qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_294424]) ).
cnf(c_294433,plain,
( qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_294425,c_3214]) ).
cnf(c_294434,plain,
( qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_294433]) ).
cnf(c_294531,plain,
( qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_294434,c_3218]) ).
cnf(c_294532,plain,
( qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_294531]) ).
cnf(c_294552,plain,
( qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_294532,c_290827]) ).
cnf(c_294553,plain,
( qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_294552]) ).
cnf(c_283305,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_283236,c_3413]) ).
cnf(c_283316,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_283305]) ).
cnf(c_207,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1279) ).
cnf(c_1369,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_207]) ).
cnf(c_2087,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_1369]) ).
cnf(c_2558,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2087]) ).
cnf(c_2764,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2558]) ).
cnf(c_3498,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
inference(copy,[status(esa)],[c_2764]) ).
cnf(c_285059,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283316,c_3510,c_3498,c_3422,c_3554]) ).
cnf(c_285060,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ q(s(X0))
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_285059]) ).
cnf(c_285086,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_285060,c_229494]) ).
cnf(c_285199,plain,
( pp(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_285086]) ).
cnf(c_291341,plain,
( pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_291339,c_285199]) ).
cnf(c_291352,plain,
( pp(s(X0))
| ~ pp(X0)
| p(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_291341]) ).
cnf(c_291491,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_291352,c_3419]) ).
cnf(c_291500,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_291491]) ).
cnf(c_292308,plain,
( ~ pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291500,c_284936]) ).
cnf(c_292309,plain,
( ~ pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_292308]) ).
cnf(c_292318,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_292309,c_3214]) ).
cnf(c_292319,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_292318]) ).
cnf(c_292417,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_292319,c_3218]) ).
cnf(c_292418,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_292417]) ).
cnf(c_292438,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_292418,c_290827]) ).
cnf(c_292439,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_292438]) ).
cnf(c_294555,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_294553,c_292439]) ).
cnf(c_294563,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_294555]) ).
cnf(c_318250,plain,
( ~ pp(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279858,c_286405,c_294563]) ).
cnf(c_318251,plain,
( ~ pp(s(X0))
| ap(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_318250]) ).
cnf(c_318301,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_318251,c_152158]) ).
cnf(c_318346,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_318301]) ).
cnf(c_318381,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_318346,c_188633]) ).
cnf(c_318382,plain,
( ~ pp(s(X0))
| ~ q(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_318381]) ).
cnf(c_318469,plain,
( ~ pp(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_318382,c_3396]) ).
cnf(c_318470,plain,
( ~ pp(s(X0))
| ~ q(X0)
| aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_318469]) ).
cnf(c_288251,plain,
( ~ pp(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_288247,c_241320]) ).
cnf(c_288261,plain,
( ~ pp(s(X0))
| ~ aq(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_288251]) ).
cnf(c_318558,plain,
( ~ pp(s(X0))
| ~ q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_318470,c_3508,c_3420,c_288261]) ).
cnf(c_318559,plain,
( ~ pp(s(X0))
| ~ q(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_318558]) ).
cnf(c_318620,plain,
( ~ pp(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_318559,c_3380]) ).
cnf(c_318621,plain,
( ~ pp(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0)
| pqr4(X0) ),
inference(rewriting,[status(thm)],[c_318620]) ).
cnf(c_318683,plain,
( ~ pp(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_318621,c_3498,c_3546]) ).
cnf(c_318684,plain,
( ~ pp(X0)
| ~ q(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_318683]) ).
cnf(c_374216,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_374110,c_318684]) ).
cnf(c_374220,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_374216]) ).
cnf(c_443519,plain,
( ~ pp(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_443256,c_374220]) ).
cnf(c_443520,plain,
( ~ pp(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_443519]) ).
cnf(c_445579,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445540,c_443520]) ).
cnf(c_445580,plain,
( ~ pp(X0)
| ~ q(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_445579]) ).
cnf(c_503753,plain,
( ~ pp(X0)
| ~ rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503455,c_445580]) ).
cnf(c_503754,plain,
( ~ pp(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_503753]) ).
cnf(c_518192,plain,
( ~ pp(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_518188,c_503754]) ).
cnf(c_518195,plain,
( ~ pp(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_518192]) ).
cnf(c_547825,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273613,c_512349,c_518195]) ).
cnf(c_547826,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_547825]) ).
cnf(c_547914,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_547826,c_3396]) ).
cnf(c_547915,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_547914]) ).
cnf(c_548255,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_547915,c_3420,c_3538]) ).
cnf(c_548256,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548255]) ).
cnf(c_548307,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_548256,c_3392]) ).
cnf(c_548308,plain,
( r(s(X0))
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548307]) ).
cnf(c_548360,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_548308,c_3538,c_512349]) ).
cnf(c_548361,plain,
( r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548360]) ).
cnf(c_548428,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_548361,c_3372]) ).
cnf(c_548429,plain,
( r(X0)
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548428]) ).
cnf(c_374099,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_374094,c_3416]) ).
cnf(c_374112,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_374099]) ).
cnf(c_548497,plain,
( ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_548429,c_439016,c_374112]) ).
cnf(c_548498,plain,
( ~ q(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548497]) ).
cnf(c_548502,plain,
( ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_548498,c_3218]) ).
cnf(c_548503,plain,
( ~ q(s(X0))
| ~ ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_548502]) ).
cnf(c_53564,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_52525,c_3544]) ).
cnf(c_53565,plain,
( ~ pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| ar(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_53564]) ).
cnf(c_499649,plain,
( pp(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_499638,c_3680]) ).
cnf(c_499654,plain,
( pp(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_499649]) ).
cnf(c_500134,plain,
( pp(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_499654,c_3664]) ).
cnf(c_500135,plain,
( pp(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_500134]) ).
cnf(c_500145,plain,
( pp(X0)
| qq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_500135,c_3624]) ).
cnf(c_500150,plain,
( pp(X0)
| qq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_500145]) ).
cnf(c_500160,plain,
( pp(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_500150,c_497028]) ).
cnf(c_500161,plain,
( pp(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_500160]) ).
cnf(c_500170,plain,
( pp(X0)
| qq(X0)
| qp(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_500161,c_3614]) ).
cnf(c_500175,plain,
( pp(X0)
| qq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_500170]) ).
cnf(c_500184,plain,
( pp(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_500175,c_497028]) ).
cnf(c_500185,plain,
( pp(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_500184]) ).
cnf(c_499651,plain,
( aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_499638,c_3672]) ).
cnf(c_499652,plain,
( aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_499651]) ).
cnf(c_499665,plain,
( aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_499652,c_3656]) ).
cnf(c_499666,plain,
( aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_499665]) ).
cnf(c_499675,plain,
( ~ pp(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(resolution,[status(thm)],[c_499666,c_3482]) ).
cnf(c_499682,plain,
( ~ pp(X0)
| aq(X0)
| qp(X0)
| pr(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_499675]) ).
cnf(c_499745,plain,
( ~ pp(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_499682,c_3474]) ).
cnf(c_499746,plain,
( ~ pp(X0)
| aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_499745]) ).
cnf(c_500188,plain,
( aq(X0)
| qp(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_500185,c_499746]) ).
cnf(c_500193,plain,
( aq(X0)
| qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_500188]) ).
cnf(c_500231,plain,
( aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_500193,c_3232]) ).
cnf(c_500232,plain,
( aq(s(X0))
| qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_500231]) ).
cnf(c_518203,plain,
( aq(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_518188,c_500232]) ).
cnf(c_518228,plain,
( aq(s(X0))
| ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_518203]) ).
cnf(c_518441,plain,
( ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518228,c_467722]) ).
cnf(c_518442,plain,
( ~ rq(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_518441]) ).
cnf(c_518449,plain,
( ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_518442,c_3218]) ).
cnf(c_518450,plain,
( ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_518449]) ).
cnf(c_518469,plain,
( aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_518450,c_3672]) ).
cnf(c_518470,plain,
( aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_518469]) ).
cnf(c_518483,plain,
( ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518470,c_467722]) ).
cnf(c_518484,plain,
( ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_518483]) ).
cnf(c_518496,plain,
( aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_518484,c_3656]) ).
cnf(c_518497,plain,
( aq(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_518496]) ).
cnf(c_518509,plain,
( ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518497,c_467722]) ).
cnf(c_518510,plain,
( ~ rq(X0)
| pr(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_518509]) ).
cnf(c_518523,plain,
( ap(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_518510,c_3558]) ).
cnf(c_518524,plain,
( ap(X0)
| ~ rq(X0)
| pr(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_518523]) ).
cnf(c_518535,plain,
( ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518524,c_3546]) ).
cnf(c_518536,plain,
( ap(X0)
| ~ rq(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_518535]) ).
cnf(c_443251,plain,
( q(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_443240,c_3558]) ).
cnf(c_443252,plain,
( q(X0)
| ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_443251]) ).
cnf(c_518540,plain,
( q(X0)
| ap(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_518536,c_443252]) ).
cnf(c_518543,plain,
( q(X0)
| ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_518540]) ).
cnf(c_518604,plain,
( q(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_518543,c_3218]) ).
cnf(c_518605,plain,
( q(s(X0))
| ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_518604]) ).
cnf(c_518729,plain,
( q(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_518605,c_437882]) ).
cnf(c_518730,plain,
( q(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_518729]) ).
cnf(c_512354,plain,
( qq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_512349,c_3218]) ).
cnf(c_512355,plain,
( qq(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_512354]) ).
cnf(c_532937,plain,
( ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53565,c_439078,c_445759,c_518730,c_512355,c_443008,c_225321]) ).
cnf(c_532938,plain,
( ap(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_532937]) ).
cnf(c_548509,plain,
( ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_548503,c_532938,c_518730]) ).
cnf(c_548510,plain,
( ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_548509]) ).
cnf(c_548520,plain,
( ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_548510,c_3558]) ).
cnf(c_548521,plain,
( ap(X0)
| ~ rq(X0)
| rpq4(X0) ),
inference(rewriting,[status(thm)],[c_548520]) ).
cnf(c_548531,plain,
( ap(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_548521,c_3546]) ).
cnf(c_548532,plain,
( ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548531]) ).
cnf(c_548534,plain,
( ~ q(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_548532,c_548498]) ).
cnf(c_548544,plain,
( ~ q(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_548534]) ).
cnf(c_571662,plain,
( ~ pp(s(X0))
| ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_313702,c_548544,c_512349,c_518195]) ).
cnf(c_571663,plain,
( ~ pp(s(X0))
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_571662]) ).
cnf(c_571721,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_571663,c_3343]) ).
cnf(c_571728,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| rr(X0)
| ~ ap(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_571721]) ).
cnf(c_225992,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_225936,c_50116]) ).
cnf(c_226019,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ap(X0)
| ~ rq(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_225992]) ).
cnf(c_521283,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ap(X0)
| ~ rq(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226019,c_3610,c_518188,c_445748,c_518543]) ).
cnf(c_521284,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ qq(s(X0))
| ap(X0)
| ~ rq(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_521283]) ).
cnf(c_521304,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ rr(X0)
| ap(X0)
| ~ rq(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_521284,c_461684]) ).
cnf(c_521379,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ rr(X0)
| ap(X0)
| ~ rq(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_521304]) ).
cnf(c_521420,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521379,c_3486,c_433270]) ).
cnf(c_521421,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_521420]) ).
cnf(c_521472,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_521421,c_3372]) ).
cnf(c_521473,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ar(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_521472]) ).
cnf(c_521524,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521473,c_439016]) ).
cnf(c_521525,plain,
( pp(s(X0))
| r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_521524]) ).
cnf(c_131232,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_131160,c_3378]) ).
cnf(c_131233,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| r(X0)
| q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_131232]) ).
cnf(c_131304,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131233,c_24512]) ).
cnf(c_131305,plain,
( ~ pp(s(X0))
| pp(X0)
| r(s(X0))
| q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_131304]) ).
cnf(c_131355,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_131305,c_3372]) ).
cnf(c_131356,plain,
( ~ pp(s(X0))
| pp(X0)
| r(X0)
| q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_131355]) ).
cnf(c_521554,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_521525,c_131356]) ).
cnf(c_521581,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_521554]) ).
cnf(c_189437,plain,
( r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_189376,c_3396]) ).
cnf(c_189438,plain,
( r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189437]) ).
cnf(c_189533,plain,
( r(X0)
| ~ q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_189438,c_3372]) ).
cnf(c_189534,plain,
( r(X0)
| ~ q(X0)
| ~ rr(X0)
| ar(X0)
| aq(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189533]) ).
cnf(c_189572,plain,
( r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189534,c_176917,c_174263]) ).
cnf(c_189573,plain,
( r(X0)
| ~ q(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_189572]) ).
cnf(c_521613,plain,
( r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521581,c_467722,c_439016,c_189573,c_518195]) ).
cnf(c_521614,plain,
( r(X0)
| ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_521613]) ).
cnf(c_521620,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_521614,c_3218]) ).
cnf(c_521621,plain,
( r(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_521620]) ).
cnf(c_521627,plain,
( ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521621,c_443008]) ).
cnf(c_521628,plain,
( ~ rr(s(X0))
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_521627]) ).
cnf(c_521665,plain,
( ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(resolution,[status(thm)],[c_521628,c_3386]) ).
cnf(c_521666,plain,
( ~ rr(X0)
| ar(X0)
| ~ rq(X0)
| rpq4(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_521665]) ).
cnf(c_521700,plain,
( ~ rr(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521666,c_3428,c_3414,c_439016]) ).
cnf(c_521701,plain,
( ~ rr(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_521700]) ).
cnf(c_548706,plain,
( ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_548544,c_443240]) ).
cnf(c_548708,plain,
( ~ rq(X0)
| ~ pr(X0)
| rpq3(X0) ),
inference(rewriting,[status(thm)],[c_548706]) ).
cnf(c_548909,plain,
( r(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(resolution,[status(thm)],[c_548708,c_3564]) ).
cnf(c_548914,plain,
( r(X0)
| ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_548909]) ).
cnf(c_549024,plain,
( pp(X0)
| r(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_548914,c_500185]) ).
cnf(c_549063,plain,
( pp(X0)
| r(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_549024]) ).
cnf(c_549083,plain,
( r(X0)
| ~ rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_549063,c_518188,c_518195]) ).
cnf(c_549084,plain,
( r(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_549083]) ).
cnf(c_571790,plain,
( ~ rq(X0)
| ~ pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_571728,c_548532,c_521701,c_548544,c_549084,c_518195]) ).
cnf(c_571791,plain,
( ~ rq(X0)
| ~ pr(X0) ),
inference(rewriting,[status(thm)],[c_571790]) ).
cnf(c_571820,plain,
( pp(X0)
| ~ rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_571791,c_500185]) ).
cnf(c_571847,plain,
( pp(X0)
| ~ rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_571820]) ).
cnf(c_571879,plain,
~ rq(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_571847,c_518188,c_518195]) ).
cnf(c_571880,plain,
~ rq(X0),
inference(rewriting,[status(thm)],[c_571879]) ).
cnf(c_439040,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_439016,c_401414]) ).
cnf(c_439070,plain,
( ~ r(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_439040]) ).
cnf(c_573527,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_369458,c_571880,c_439070]) ).
cnf(c_573528,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_573527]) ).
cnf(c_573595,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_573528,c_3384]) ).
cnf(c_573596,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_573595]) ).
cnf(c_573664,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_573596,c_3446,c_3536]) ).
cnf(c_573665,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_573664]) ).
cnf(c_573734,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_573665,c_3378]) ).
cnf(c_573735,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| aq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_573734]) ).
cnf(c_573805,plain,
( ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_573735,c_3532,c_3242]) ).
cnf(c_573806,plain,
( ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_573805]) ).
cnf(c_573859,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_573806,c_24557]) ).
cnf(c_573876,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_573859]) ).
cnf(c_573941,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_573876,c_3568]) ).
cnf(c_573942,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_573941]) ).
cnf(c_573954,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_573942,c_3536]) ).
cnf(c_573955,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_573954]) ).
cnf(c_531996,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_531982,c_346954]) ).
cnf(c_532043,plain,
( pp(X0)
| ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_531996]) ).
cnf(c_532348,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_532043,c_3372,c_3355,c_350693]) ).
cnf(c_532349,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ p(s(X0))
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_532348]) ).
cnf(c_532414,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_532349,c_3295]) ).
cnf(c_532423,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_532414]) ).
cnf(c_532621,plain,
( ~ r(s(X0))
| r(X0)
| q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_532423,c_3355,c_3315]) ).
cnf(c_532622,plain,
( ~ r(s(X0))
| r(X0)
| q(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_532621]) ).
cnf(c_532679,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_532622,c_35357]) ).
cnf(c_532700,plain,
( pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_532679]) ).
cnf(c_573957,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_573955,c_532700]) ).
cnf(c_573964,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_573957]) ).
cnf(c_611263,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_611203,c_573964]) ).
cnf(c_611264,plain,
( pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_611263]) ).
cnf(c_611307,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_611264,c_3392]) ).
cnf(c_611308,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_611307]) ).
cnf(c_612320,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_611308,c_3532]) ).
cnf(c_612321,plain,
( pp(X0)
| r(X0)
| ~ qq(X0)
| ~ p(X0)
| rr(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_612320]) ).
cnf(c_612349,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_612321,c_3404]) ).
cnf(c_612350,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_612349]) ).
cnf(c_612750,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_612350,c_3368]) ).
cnf(c_612751,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_612750]) ).
cnf(c_612790,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_612751,c_3532]) ).
cnf(c_612791,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_612790]) ).
cnf(c_612851,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_612791,c_3384]) ).
cnf(c_612852,plain,
( pp(s(X0))
| r(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| rr(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_612851]) ).
cnf(c_573995,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_573955,c_3404]) ).
cnf(c_573996,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_573995]) ).
cnf(c_575473,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_573996,c_3384]) ).
cnf(c_575474,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_575473]) ).
cnf(c_575540,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_575474,c_3538]) ).
cnf(c_575541,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_575540]) ).
cnf(c_575585,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_575541,c_223719]) ).
cnf(c_575638,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_575585]) ).
cnf(c_614082,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_612852,c_3538,c_272069,c_575638]) ).
cnf(c_614083,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_614082]) ).
cnf(c_614120,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_614083,c_153826]) ).
cnf(c_614135,plain,
( pp(s(X0))
| r(X0)
| q(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_614120]) ).
cnf(c_412119,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(resolution,[status(thm)],[c_412014,c_3496]) ).
cnf(c_412126,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_412119]) ).
cnf(c_413029,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_412126,c_3438]) ).
cnf(c_413030,plain,
( ~ pp(X0)
| qq(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_413029]) ).
cnf(c_413076,plain,
( pp(s(X0))
| ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_413030,c_223858]) ).
cnf(c_413133,plain,
( pp(s(X0))
| ~ pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_413076]) ).
cnf(c_413848,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_413133,c_412785,c_341078]) ).
cnf(c_413849,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0)
| rq(X0) ),
inference(rewriting,[status(thm)],[c_413848]) ).
cnf(c_433047,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432576,c_413849]) ).
cnf(c_433056,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_433047]) ).
cnf(c_614399,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_614135,c_433056,c_432584]) ).
cnf(c_614400,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_614399]) ).
cnf(c_614429,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_614400,c_3362]) ).
cnf(c_614430,plain,
( pp(X0)
| q(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_614429]) ).
cnf(c_433253,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_432584,c_124555]) ).
cnf(c_433257,plain,
( ~ r(X0)
| qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_433253]) ).
cnf(c_433675,plain,
( pp(X0)
| qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433257,c_156883]) ).
cnf(c_433679,plain,
( pp(X0)
| qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_433675]) ).
cnf(c_223783,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_223719,c_3269]) ).
cnf(c_223790,plain,
( pp(s(X0))
| pp(X0)
| r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_223783]) ).
cnf(c_239694,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223790,c_194950,c_3241]) ).
cnf(c_239695,plain,
( pp(s(X0))
| pp(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_239694]) ).
cnf(c_434929,plain,
( pp(s(X0))
| pp(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433679,c_239695]) ).
cnf(c_434932,plain,
( pp(s(X0))
| pp(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_434929]) ).
cnf(c_435131,plain,
( pp(X0)
| ~ q(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_434932,c_3362]) ).
cnf(c_435132,plain,
( pp(X0)
| ~ q(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_435131]) ).
cnf(c_683781,plain,
( pp(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_435132,c_3538]) ).
cnf(c_683782,plain,
( pp(X0)
| ~ q(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_683781]) ).
cnf(c_689043,plain,
( pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_614430,c_3538,c_683782]) ).
cnf(c_689044,plain,
( pp(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_689043]) ).
cnf(c_689054,plain,
( pp(s(X0))
| ~ p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_689044,c_3408]) ).
cnf(c_689055,plain,
( pp(s(X0))
| ~ p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689054]) ).
cnf(c_598613,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_598576,c_3402]) ).
cnf(c_598614,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_598613]) ).
cnf(c_598969,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_598614,c_3396]) ).
cnf(c_598970,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_598969]) ).
cnf(c_599032,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_598970,c_3532]) ).
cnf(c_599033,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_599032]) ).
cnf(c_599082,plain,
( ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_599033,c_250509]) ).
cnf(c_599131,plain,
( ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_599082]) ).
cnf(c_599747,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_599131,c_3404]) ).
cnf(c_599748,plain,
( ~ q(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_599747]) ).
cnf(c_684236,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_599748,c_3366]) ).
cnf(c_684237,plain,
( ~ q(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_684236]) ).
cnf(c_684322,plain,
( ~ q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_684237,c_3538]) ).
cnf(c_684323,plain,
( ~ q(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_684322]) ).
cnf(c_684325,plain,
( r(X0)
| p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_684323,c_3207]) ).
cnf(c_684328,plain,
( r(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_684325]) ).
cnf(c_684399,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_684328,c_3408]) ).
cnf(c_684400,plain,
( r(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684399]) ).
cnf(c_689261,plain,
( pp(s(X0))
| r(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_689055,c_684400]) ).
cnf(c_689312,plain,
( pp(s(X0))
| r(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689261]) ).
cnf(c_599693,negated_conjecture,
( ~ q(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_599131,c_3246]) ).
cnf(c_599720,plain,
( ~ q(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_599693]) ).
cnf(c_605105,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_603044,c_599720]) ).
cnf(c_605160,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_605105]) ).
cnf(c_615330,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_605160,c_3396]) ).
cnf(c_615331,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_615330]) ).
cnf(c_615392,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_615331,c_3532]) ).
cnf(c_615393,plain,
( ~ qq(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_615392]) ).
cnf(c_615436,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_615393,c_3392]) ).
cnf(c_615437,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_615436]) ).
cnf(c_615508,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_615437,c_3532]) ).
cnf(c_615509,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_615508]) ).
cnf(c_615534,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_615509,c_3404]) ).
cnf(c_615535,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_615534]) ).
cnf(c_616139,plain,
( ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_615535,c_153679]) ).
cnf(c_616151,plain,
( ~ q(s(X0))
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_616139]) ).
cnf(c_616332,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_616151,c_3275]) ).
cnf(c_616341,plain,
( ~ q(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_616332]) ).
cnf(c_684316,plain,
( ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_616341,c_3408]) ).
cnf(c_684317,plain,
( ~ q(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684316]) ).
cnf(c_124059,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_124055,c_120942]) ).
cnf(c_124065,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_124059]) ).
cnf(c_433395,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_433262,c_124065]) ).
cnf(c_433398,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_433395]) ).
cnf(c_684432,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_684317,c_433398]) ).
cnf(c_684453,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684432]) ).
cnf(c_684554,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_684453,c_433262]) ).
cnf(c_684555,plain,
( ~ r(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684554]) ).
cnf(c_684590,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_684555,c_3396]) ).
cnf(c_684591,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_684590]) ).
cnf(c_684625,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_684591,c_3538]) ).
cnf(c_684626,plain,
( ~ r(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684625]) ).
cnf(c_684630,plain,
( ~ r(s(X0))
| r(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_684626,c_364220]) ).
cnf(c_684632,plain,
( ~ r(s(X0))
| r(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684630]) ).
cnf(c_689567,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_689312,c_684632]) ).
cnf(c_689618,plain,
( pp(s(X0))
| r(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689567]) ).
cnf(c_689736,plain,
( r(X0)
| q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_689618,c_3231]) ).
cnf(c_689740,plain,
( r(X0)
| q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689736]) ).
cnf(c_689831,plain,
( r(s(X0))
| q(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_689740,c_3402]) ).
cnf(c_689832,plain,
( r(s(X0))
| q(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_689831]) ).
cnf(c_689884,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_689832,c_3378]) ).
cnf(c_689885,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_689884]) ).
cnf(c_689975,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_689885,c_3532]) ).
cnf(c_689976,plain,
( r(s(X0))
| q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_689975]) ).
cnf(c_369487,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_369021,c_350813]) ).
cnf(c_369510,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_369487]) ).
cnf(c_367791,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_367719,c_3236]) ).
cnf(c_367792,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_367791]) ).
cnf(c_369923,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_369510,c_367792]) ).
cnf(c_370038,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| rq(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_369923]) ).
cnf(c_433259,plain,
( ~ r(X0)
| ~ p(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_432584,c_3544]) ).
cnf(c_433260,plain,
( ~ r(X0)
| ~ p(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_433259]) ).
cnf(c_573968,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_573955,c_433260]) ).
cnf(c_573981,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_573968]) ).
cnf(c_574021,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_573981,c_346925]) ).
cnf(c_574024,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_574021]) ).
cnf(c_578295,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rpq2(X0)
| rpq1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_370038,c_571880,c_574024]) ).
cnf(c_578296,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(s(X0))
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_578295]) ).
cnf(c_578363,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(resolution,[status(thm)],[c_578296,c_3384]) ).
cnf(c_578364,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| rpq2(X0)
| rpq1(X0) ),
inference(rewriting,[status(thm)],[c_578363]) ).
cnf(c_578432,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_578364,c_3446,c_3568]) ).
cnf(c_578433,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_578432]) ).
cnf(c_598918,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_598614,c_578433]) ).
cnf(c_599021,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_598918]) ).
cnf(c_367954,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_367926,c_3216]) ).
cnf(c_367955,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_367954]) ).
cnf(c_368037,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_367955,c_3408]) ).
cnf(c_368038,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_368037]) ).
cnf(c_368070,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_368038,c_290481]) ).
cnf(c_368267,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| ~ pr(X0)
| qrp4(X0)
| qrp3(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_368070]) ).
cnf(c_493639,plain,
( q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0)
| qrp4(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_493608,c_326444]) ).
cnf(c_493764,plain,
( q(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| pr(X0)
| qrp4(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_493639]) ).
cnf(c_571882,plain,
( qp(X0)
| pr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_571880,c_3542]) ).
cnf(c_571909,plain,
( qp(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_571882]) ).
cnf(c_518444,plain,
( qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_518442,c_4311]) ).
cnf(c_518448,plain,
( qp(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_518444]) ).
cnf(c_531913,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_531907,c_518448]) ).
cnf(c_531926,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ ap(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_531913]) ).
cnf(c_532056,plain,
( q(s(X0))
| ~ p(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_531926,c_511062,c_509160]) ).
cnf(c_532057,plain,
( q(s(X0))
| ~ p(s(X0))
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_532056]) ).
cnf(c_532126,plain,
( q(s(X0))
| ~ p(X0)
| ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(resolution,[status(thm)],[c_532057,c_3384]) ).
cnf(c_532127,plain,
( q(s(X0))
| ~ p(X0)
| ap(X0)
| pr(X0)
| pqr2(X0)
| pqr1(X0) ),
inference(rewriting,[status(thm)],[c_532126]) ).
cnf(c_532197,plain,
( q(s(X0))
| ~ p(X0)
| ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_532127,c_3530]) ).
cnf(c_532198,plain,
( q(s(X0))
| ~ p(X0)
| ap(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_532197]) ).
cnf(c_532264,plain,
( q(X0)
| ~ p(X0)
| ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(resolution,[status(thm)],[c_532198,c_3378]) ).
cnf(c_532265,plain,
( q(X0)
| ~ p(X0)
| ap(X0)
| aq(X0)
| pr(X0)
| pqr2(X0) ),
inference(rewriting,[status(thm)],[c_532264]) ).
cnf(c_532332,plain,
( q(X0)
| ~ p(X0)
| ap(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_532265,c_3660,c_493172]) ).
cnf(c_532333,plain,
( q(X0)
| ~ p(X0)
| ap(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_532332]) ).
cnf(c_591576,plain,
( q(s(X0))
| q(X0)
| ~ p(X0)
| pr(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493764,c_3530,c_3660,c_571909,c_532333]) ).
cnf(c_591577,plain,
( q(s(X0))
| q(X0)
| ~ p(X0)
| pr(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_591576]) ).
cnf(c_591645,plain,
( q(X0)
| ~ p(X0)
| aq(X0)
| pr(X0)
| qrp4(X0) ),
inference(resolution,[status(thm)],[c_591577,c_3378]) ).
cnf(c_591646,plain,
( q(X0)
| ~ p(X0)
| aq(X0)
| pr(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_591645]) ).
cnf(c_591714,plain,
( q(X0)
| ~ p(X0)
| pr(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_591646,c_493172]) ).
cnf(c_591715,plain,
( q(X0)
| ~ p(X0)
| pr(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_591714]) ).
cnf(c_591726,plain,
( q(X0)
| ~ p(X0)
| ar(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_591715,c_3586]) ).
cnf(c_591727,plain,
( q(X0)
| ~ p(X0)
| ar(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_591726]) ).
cnf(c_591738,plain,
( q(X0)
| ~ p(X0)
| pr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_591727,c_511020]) ).
cnf(c_591739,plain,
( q(X0)
| ~ p(X0)
| pr(X0) ),
inference(rewriting,[status(thm)],[c_591738]) ).
cnf(c_606382,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_368267,c_3604,c_591739]) ).
cnf(c_606383,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_606382]) ).
cnf(c_606434,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_606383,c_3285]) ).
cnf(c_606441,plain,
( pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ qp(X0)
| qrp4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_606434]) ).
cnf(c_102010,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_101923,c_3251]) ).
cnf(c_102025,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_102010]) ).
cnf(c_103299,plain,
( ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102025,c_3492,c_3253]) ).
cnf(c_103300,plain,
( ~ r(s(X0))
| ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_103299]) ).
cnf(c_154343,plain,
( ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_154339,c_103300]) ).
cnf(c_154347,plain,
( ~ r(X0)
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_154343]) ).
cnf(c_597862,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_597859,c_154347]) ).
cnf(c_597865,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| qp(X0)
| qrp2(X0) ),
inference(rewriting,[status(thm)],[c_597862]) ).
cnf(c_598225,plain,
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_597865,c_3476]) ).
cnf(c_598236,plain,
( ~ r(X0)
| ~ q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_598225]) ).
cnf(c_307097,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_307050,c_3542]) ).
cnf(c_307098,plain,
( pp(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ar(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_307097]) ).
cnf(c_307157,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_307098,c_3234]) ).
cnf(c_307158,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_307157]) ).
cnf(c_307606,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_307158,c_3236]) ).
cnf(c_307607,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ ar(s(X0))
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_307606]) ).
cnf(c_307777,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_307607,c_3404]) ).
cnf(c_307778,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_307777]) ).
cnf(c_319751,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307778,c_313761]) ).
cnf(c_319752,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_319751]) ).
cnf(c_319879,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_319752,c_3384]) ).
cnf(c_319880,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_319879]) ).
cnf(c_320008,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_319880,c_3476,c_3446,c_3538]) ).
cnf(c_320009,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_320008]) ).
cnf(c_320116,plain,
( ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_320009,c_3239]) ).
cnf(c_320133,plain,
( ~ r(X0)
| qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_320116]) ).
cnf(c_320326,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_320133,c_3488,c_3241]) ).
cnf(c_320327,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_320326]) ).
cnf(c_320340,plain,
( ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_320327,c_3568]) ).
cnf(c_320341,plain,
( ~ r(X0)
| ~ p(X0)
| ap(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_320340]) ).
cnf(c_320354,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_320341,c_3538]) ).
cnf(c_320355,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| rq(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_320354]) ).
cnf(c_320370,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_320355,c_3234]) ).
cnf(c_320371,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_320370]) ).
cnf(c_320468,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_320371,c_3236]) ).
cnf(c_320469,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_320468]) ).
cnf(c_320599,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_320469,c_3408]) ).
cnf(c_320600,plain,
( ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| rq(X0)
| qp(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_320599]) ).
cnf(c_320630,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| ~ pr(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_320600,c_290481]) ).
cnf(c_320841,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| rq(X0)
| qp(X0)
| ~ pr(X0)
| rpq2(X0)
| rpq1(X0)
| qrp2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_320630]) ).
cnf(c_437562,plain,
( q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(resolution,[status(thm)],[c_437476,c_3552]) ).
cnf(c_437567,plain,
( q(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_437562]) ).
cnf(c_518597,plain,
( q(X0)
| ~ p(X0)
| ~ rq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_518543,c_437567]) ).
cnf(c_518601,plain,
( q(X0)
| ~ p(X0)
| ~ rq(X0) ),
inference(rewriting,[status(thm)],[c_518597]) ).
cnf(c_523099,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_320841,c_3476,c_3582,c_468153,c_518601]) ).
cnf(c_523100,plain,
( ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_523099]) ).
cnf(c_523171,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_523100,c_3390]) ).
cnf(c_523172,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| ar(X0)
| qp(X0)
| rpq2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_523171]) ).
cnf(c_524123,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| rpq2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523172,c_3502,c_3488,c_3536]) ).
cnf(c_524124,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_524123]) ).
cnf(c_574018,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| qp(X0)
| rpq2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_573981,c_524124]) ).
cnf(c_574027,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| qp(X0)
| rpq2(X0) ),
inference(rewriting,[status(thm)],[c_574018]) ).
cnf(c_574696,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_574027,c_3432]) ).
cnf(c_574705,plain,
( ~ r(X0)
| ~ qq(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_574696]) ).
cnf(c_314910,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_314895,c_3234]) ).
cnf(c_314911,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ aq(s(X0))
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_314910]) ).
cnf(c_315107,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(resolution,[status(thm)],[c_314911,c_3408]) ).
cnf(c_315108,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ap(X0)
| qp(X0)
| qrp2(X0)
| qrp1(X0) ),
inference(rewriting,[status(thm)],[c_315107]) ).
cnf(c_315134,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_315108,c_290481]) ).
cnf(c_315345,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp2(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_315134]) ).
cnf(c_316081,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_315345,c_3476]) ).
cnf(c_316082,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_316081]) ).
cnf(c_316194,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_316082,c_24512]) ).
cnf(c_316209,plain,
( ~ pp(s(X0))
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| aq(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_316194]) ).
cnf(c_317950,plain,
( ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_316209,c_3538,c_3231]) ).
cnf(c_317951,plain,
( ~ pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_317950]) ).
cnf(c_56,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1128) ).
cnf(c_705,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_56,c_705]) ).
cnf(c_905,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(global_propositional_subsumption,[status(thm)],[c_56,c_705]) ).
cnf(c_1067,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_905]) ).
cnf(c_2215,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_1067]) ).
cnf(c_2430,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2215]) ).
cnf(c_2695,negated_conjecture,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2430]) ).
cnf(c_3360,plain,
( pp(s(X0))
| pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(copy,[status(esa)],[c_2695]) ).
cnf(c_318011,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_317951,c_3360]) ).
cnf(c_318018,plain,
( pp(X0)
| ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0)
| ~ pr(X0)
| qrp1(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_318011]) ).
cnf(c_524131,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_524124,c_3438]) ).
cnf(c_524144,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_524131]) ).
cnf(c_524151,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_524144,c_440295]) ).
cnf(c_524152,plain,
( ~ pp(X0)
| ~ r(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_524151]) ).
cnf(c_550157,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_318018,c_3502,c_3488,c_468153,c_524152]) ).
cnf(c_550158,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_550157]) ).
cnf(c_574019,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_573981,c_550158]) ).
cnf(c_574026,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_574019]) ).
cnf(c_574713,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_574705,c_574026]) ).
cnf(c_574714,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_574713]) ).
cnf(c_598279,plain,
( ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_598236,c_574714]) ).
cnf(c_598280,plain,
( ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| qp(X0) ),
inference(rewriting,[status(thm)],[c_598279]) ).
cnf(c_606773,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_606441,c_3502,c_3590,c_598280,c_598576]) ).
cnf(c_606774,plain,
( pp(X0)
| ~ r(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_606773]) ).
cnf(c_606791,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_606774,c_3402]) ).
cnf(c_606792,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_606791]) ).
cnf(c_606890,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_606792,c_3384]) ).
cnf(c_606891,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| ap(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_606890]) ).
cnf(c_610856,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_606891,c_3536]) ).
cnf(c_610857,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_610856]) ).
cnf(c_628871,plain,
( ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_599021,c_3536,c_610857]) ).
cnf(c_628872,plain,
( ~ r(s(X0))
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_628871]) ).
cnf(c_689992,plain,
( q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_689976,c_628872]) ).
cnf(c_690025,plain,
( q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_689992]) ).
cnf(c_690218,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_690025,c_3404]) ).
cnf(c_690219,plain,
( q(s(X0))
| ~ p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_690218]) ).
cnf(c_690965,plain,
( q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_690219,c_3384]) ).
cnf(c_690966,plain,
( q(s(X0))
| ~ p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_690965]) ).
cnf(c_691045,plain,
( q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_690966,c_3538]) ).
cnf(c_691046,plain,
( q(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_691045]) ).
cnf(c_616276,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_616151,c_3529]) ).
cnf(c_616280,plain,
( ~ pp(X0)
| qq(X0)
| ~ q(s(X0))
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_616276]) ).
cnf(c_691069,plain,
( ~ pp(X0)
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_691046,c_616280]) ).
cnf(c_691092,plain,
( ~ pp(X0)
| qq(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_691069]) ).
cnf(c_691115,plain,
( qq(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_691092,c_689044]) ).
cnf(c_691116,plain,
( qq(X0)
| ~ p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_691115]) ).
cnf(c_691125,plain,
( qq(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_691116,c_3408]) ).
cnf(c_691126,plain,
( qq(s(X0))
| ~ p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_691125]) ).
cnf(c_691155,plain,
( qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_691126,c_3368]) ).
cnf(c_691156,plain,
( qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_691155]) ).
cnf(c_691178,plain,
( qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_691156,c_3536]) ).
cnf(c_691179,plain,
( qq(s(X0))
| ~ p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_691178]) ).
cnf(c_616274,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_616151,c_3325]) ).
cnf(c_616279,plain,
( ~ pp(X0)
| qq(X0)
| p(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_616274]) ).
cnf(c_616407,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_616279,c_3408]) ).
cnf(c_616408,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_616407]) ).
cnf(c_616662,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_616408,c_3368]) ).
cnf(c_616663,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_616662]) ).
cnf(c_616699,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_616663,c_3536]) ).
cnf(c_616700,plain,
( ~ pp(s(X0))
| qq(s(X0))
| p(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_616699]) ).
cnf(c_691182,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_691179,c_616700]) ).
cnf(c_691187,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_691182]) ).
cnf(c_691432,plain,
( ~ pp(s(X0))
| qq(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_691187,c_3374]) ).
cnf(c_691433,plain,
( ~ pp(s(X0))
| qq(X0)
| rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_691432]) ).
cnf(c_373479,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(resolution,[status(thm)],[c_373466,c_35065]) ).
cnf(c_373486,plain,
( pp(s(X0))
| pp(X0)
| qq(X0)
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ rr(X0)
| ~ ap(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_373479]) ).
cnf(c_375374,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ aq(s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_373486,c_3384,c_3295,c_3448,c_3346]) ).
cnf(c_375375,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_375374]) ).
cnf(c_375383,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_375375,c_3408]) ).
cnf(c_375384,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_375383]) ).
cnf(c_375390,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_375384,c_3384]) ).
cnf(c_375391,plain,
( pp(s(X0))
| q(X0)
| p(s(X0))
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_375390]) ).
cnf(c_689270,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_689055,c_375391]) ).
cnf(c_689303,plain,
( pp(s(X0))
| q(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689270]) ).
cnf(c_683792,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_683782,c_3408]) ).
cnf(c_683793,plain,
( pp(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_683792]) ).
cnf(c_615515,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_615509,c_433260]) ).
cnf(c_615522,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_615515]) ).
cnf(c_606430,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0)
| qrp4(X0)
| pqr3(X0) ),
inference(resolution,[status(thm)],[c_606383,c_24512]) ).
cnf(c_606445,plain,
( ~ r(X0)
| q(X0)
| ~ p(X0)
| ~ ap(X0)
| aq(X0)
| ~ qp(X0)
| qrp4(X0)
| pqr3(X0) ),
inference(rewriting,[status(thm)],[c_606430]) ).
cnf(c_606953,plain,
( ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| qrp4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_606445,c_3502,c_598280,c_432584,c_598576]) ).
cnf(c_606954,plain,
( ~ r(X0)
| ~ p(X0)
| ~ ap(X0)
| qrp4(X0) ),
inference(rewriting,[status(thm)],[c_606953]) ).
cnf(c_193,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1265) ).
cnf(c_1341,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_193]) ).
cnf(c_2073,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_1341]) ).
cnf(c_2572,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2073]) ).
cnf(c_2743,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2572]) ).
cnf(c_3456,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
inference(copy,[status(esa)],[c_2743]) ).
cnf(c_606960,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_606954,c_3456]) ).
cnf(c_606971,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_606960]) ).
cnf(c_615552,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_615522,c_606971,c_573981]) ).
cnf(c_615553,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ p(X0) ),
inference(rewriting,[status(thm)],[c_615552]) ).
cnf(c_615569,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_615553,c_597157]) ).
cnf(c_615668,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_615569]) ).
cnf(c_658431,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_615668,c_225323]) ).
cnf(c_658432,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_658431]) ).
cnf(c_658482,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_658432,c_3396]) ).
cnf(c_658483,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_658482]) ).
cnf(c_658534,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_658483,c_3538]) ).
cnf(c_658535,plain,
( pp(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_658534]) ).
cnf(c_142012,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_141992,c_3216]) ).
cnf(c_142013,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ qp(X0)
| qrp4(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_142012]) ).
cnf(c_142063,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ qp(X0)
| qrp3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142013,c_3596]) ).
cnf(c_142064,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(s(X0))
| ~ qp(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_142063]) ).
cnf(c_142121,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ qp(X0)
| qrp3(X0) ),
inference(resolution,[status(thm)],[c_142064,c_3368]) ).
cnf(c_142122,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| rr(X0)
| ar(X0)
| ~ qp(X0)
| qrp3(X0) ),
inference(rewriting,[status(thm)],[c_142121]) ).
cnf(c_142176,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ar(X0)
| ~ qp(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142122,c_3598,c_3425]) ).
cnf(c_142177,plain,
( r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_142176]) ).
cnf(c_156942,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ qp(X0) ),
inference(resolution,[status(thm)],[c_156895,c_142177]) ).
cnf(c_157093,plain,
( pp(s(X0))
| r(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0)
| ar(X0)
| ~ qp(X0) ),
inference(rewriting,[status(thm)],[c_156942]) ).
cnf(c_237210,plain,
( pp(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157093,c_168173,c_3536,c_3372]) ).
cnf(c_237211,plain,
( pp(s(X0))
| r(X0)
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_237210]) ).
cnf(c_598583,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598576,c_237211]) ).
cnf(c_598592,plain,
( pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_598583]) ).
cnf(c_658538,plain,
( pp(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_658535,c_598592]) ).
cnf(c_658543,plain,
( pp(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_658538]) ).
cnf(c_684047,plain,
( pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_683793,c_658543]) ).
cnf(c_684050,plain,
( pp(s(X0))
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684047]) ).
cnf(c_689532,plain,
( pp(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_689303,c_684050]) ).
cnf(c_689533,plain,
( pp(s(X0))
| ~ p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689532]) ).
cnf(c_598589,plain,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_598576,c_3266]) ).
cnf(c_598598,plain,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_598589]) ).
cnf(c_689536,plain,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| ~ ap(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_689533,c_598598]) ).
cnf(c_689538,plain,
( pp(s(X0))
| ~ r(X0)
| qq(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689536]) ).
cnf(c_689944,plain,
( pp(s(X0))
| qq(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_689538,c_689618]) ).
cnf(c_689945,plain,
( pp(s(X0))
| qq(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_689944]) ).
cnf(c_691611,plain,
( qq(X0)
| rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_691433,c_3538,c_689945]) ).
cnf(c_691612,plain,
( qq(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_691611]) ).
cnf(c_691628,plain,
( qq(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_691612,c_3402]) ).
cnf(c_691629,plain,
( qq(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_691628]) ).
cnf(c_599685,negated_conjecture,
( p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_599131,c_3226]) ).
cnf(c_599713,plain,
( p(X0)
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_599685]) ).
cnf(c_692055,plain,
( qq(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_691629,c_599713]) ).
cnf(c_692070,plain,
( qq(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_692055]) ).
cnf(c_698455,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_692070,c_3374]) ).
cnf(c_698456,plain,
( qq(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_698455]) ).
cnf(c_698482,plain,
( qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_698456,c_3532]) ).
cnf(c_698483,plain,
( qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_698482]) ).
cnf(c_698492,plain,
( qq(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_698483,c_3404]) ).
cnf(c_698493,plain,
( qq(s(X0))
| p(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_698492]) ).
cnf(c_698660,plain,
( qq(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_698493,c_3366]) ).
cnf(c_698661,plain,
( qq(s(X0))
| p(X0)
| ap(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_698660]) ).
cnf(c_698681,plain,
( qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_698661,c_3538]) ).
cnf(c_698682,plain,
( qq(s(X0))
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_698681]) ).
cnf(c_698706,plain,
( ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_698682,c_3522]) ).
cnf(c_698709,plain,
( ~ pp(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_698706]) ).
cnf(c_698742,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_698709,c_3408]) ).
cnf(c_698743,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_698742]) ).
cnf(c_698766,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_698743,c_3386]) ).
cnf(c_698767,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_698766]) ).
cnf(c_698787,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_698767,c_3536]) ).
cnf(c_698788,plain,
( ~ pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_698787]) ).
cnf(c_574029,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(resolution,[status(thm)],[c_573981,c_433305]) ).
cnf(c_574046,plain,
( ~ r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_574029]) ).
cnf(c_120580,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_42644,c_3544]) ).
cnf(c_120581,plain,
( ~ pp(X0)
| r(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_120580]) ).
cnf(c_123180,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_120581,c_41382]) ).
cnf(c_123183,plain,
( ~ pp(X0)
| r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0)
| ap(X0) ),
inference(rewriting,[status(thm)],[c_123180]) ).
cnf(c_568169,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123183,c_433305,c_41389]) ).
cnf(c_568170,plain,
( r(X0)
| qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_568169]) ).
cnf(c_610369,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_574046,c_568170]) ).
cnf(c_610370,plain,
( qq(X0)
| q(X0)
| ~ p(X0)
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_610369]) ).
cnf(c_610403,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_610370,c_3386]) ).
cnf(c_610404,plain,
( qq(s(X0))
| q(s(X0))
| ~ p(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_610403]) ).
cnf(c_698807,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_698788,c_610404]) ).
cnf(c_698812,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_698807]) ).
cnf(c_699065,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_698812,c_3536,c_691187]) ).
cnf(c_699066,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_699065]) ).
cnf(c_699090,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_699066,c_3378]) ).
cnf(c_699091,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_699090]) ).
cnf(c_699110,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_699091,c_3538]) ).
cnf(c_699111,plain,
( ~ pp(s(X0))
| qq(s(X0))
| q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_699110]) ).
cnf(c_699137,plain,
( ~ pp(s(X0))
| qq(X0)
| q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_699111,c_3374]) ).
cnf(c_699138,plain,
( ~ pp(s(X0))
| qq(X0)
| q(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_699137]) ).
cnf(c_699165,plain,
( qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_699138,c_3538,c_689945]) ).
cnf(c_699166,plain,
( qq(X0)
| q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_699165]) ).
cnf(c_699176,plain,
( qq(s(X0))
| q(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_699166,c_3402]) ).
cnf(c_699177,plain,
( qq(s(X0))
| q(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_699176]) ).
cnf(c_699390,plain,
( qq(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_699177,c_3378]) ).
cnf(c_699391,plain,
( qq(s(X0))
| q(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_699390]) ).
cnf(c_692054,plain,
( qq(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_691629,c_599720]) ).
cnf(c_692071,plain,
( qq(s(X0))
| ~ q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_692054]) ).
cnf(c_692323,plain,
( ~ q(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_692071,c_615393]) ).
cnf(c_692324,plain,
( ~ q(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_692323]) ).
cnf(c_699449,plain,
( qq(s(X0))
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_699391,c_3532,c_692324]) ).
cnf(c_699450,plain,
( qq(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_699449]) ).
cnf(c_699477,plain,
( qq(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_699450,c_3374]) ).
cnf(c_699478,plain,
( qq(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_699477]) ).
cnf(c_699540,plain,
( qq(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_699478,c_3532]) ).
cnf(c_699541,plain,
( qq(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_699540]) ).
cnf(c_684647,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_684626,c_133814]) ).
cnf(c_684670,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_684647]) ).
cnf(c_686031,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_684670,c_601873,c_684050]) ).
cnf(c_686032,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_686031]) ).
cnf(c_686042,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_686032,c_3402]) ).
cnf(c_686043,plain,
( ~ qq(s(X0))
| ~ q(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_686042]) ).
cnf(c_689856,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_689832,c_686043]) ).
cnf(c_689913,plain,
( r(s(X0))
| ~ qq(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_689856]) ).
cnf(c_690061,plain,
( r(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_689913,c_3392]) ).
cnf(c_690062,plain,
( r(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_690061]) ).
cnf(c_690082,plain,
( r(s(X0))
| ~ qq(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_690062,c_3532]) ).
cnf(c_690083,plain,
( r(s(X0))
| ~ qq(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_690082]) ).
cnf(c_690103,plain,
( ~ qq(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_690083,c_628872]) ).
cnf(c_690134,plain,
( ~ qq(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_690103]) ).
cnf(c_145218,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_144833,c_3343]) ).
cnf(c_145231,plain,
( pp(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0)
| rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_145218]) ).
cnf(c_145475,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_145231,c_3402]) ).
cnf(c_145476,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| rr(s(X0))
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_145475]) ).
cnf(c_145559,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_145476,c_3226]) ).
cnf(c_145562,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_145559]) ).
cnf(c_366010,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ aq(s(X0)) ),
inference(resolution,[status(thm)],[c_365950,c_49989]) ).
cnf(c_366031,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ aq(s(X0)) ),
inference(rewriting,[status(thm)],[c_366010]) ).
cnf(c_366593,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_366031,c_3408]) ).
cnf(c_366594,plain,
( ~ r(s(X0))
| r(X0)
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_366593]) ).
cnf(c_366601,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366594,c_3251]) ).
cnf(c_366602,plain,
( ~ r(s(X0))
| q(s(X0))
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_366601]) ).
cnf(c_366707,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_366602,c_52655]) ).
cnf(c_366744,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_366707]) ).
cnf(c_530589,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366744,c_52710,c_520139]) ).
cnf(c_530590,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| ~ q(X0)
| p(X0) ),
inference(rewriting,[status(thm)],[c_530589]) ).
cnf(c_588937,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145562,c_530590,c_250509]) ).
cnf(c_588938,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(s(X0))
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_588937]) ).
cnf(c_589006,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_588938,c_3378]) ).
cnf(c_589007,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_589006]) ).
cnf(c_589076,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589007,c_3532]) ).
cnf(c_589077,plain,
( pp(s(X0))
| ~ qq(s(X0))
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_589076]) ).
cnf(c_589123,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_589077,c_3392]) ).
cnf(c_589124,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_589123]) ).
cnf(c_589299,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589124,c_3532]) ).
cnf(c_589300,plain,
( pp(s(X0))
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_589299]) ).
cnf(c_599688,plain,
( pp(s(X0))
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_599131,c_589300]) ).
cnf(c_599710,plain,
( pp(s(X0))
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_599688]) ).
cnf(c_62334,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_62212,c_3436]) ).
cnf(c_62341,plain,
( ~ pp(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_62334]) ).
cnf(c_119882,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_62341,c_3408]) ).
cnf(c_119883,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_119882]) ).
cnf(c_119977,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_119883,c_3386]) ).
cnf(c_119978,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_119977]) ).
cnf(c_120066,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119978,c_3536]) ).
cnf(c_120067,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_120066]) ).
cnf(c_120155,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_120067,c_3601]) ).
cnf(c_120172,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| qq(X0)
| ~ q(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_120155]) ).
cnf(c_120262,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120172,c_3362,c_3621]) ).
cnf(c_120263,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(s(X0))
| ~ rr(X0) ),
inference(rewriting,[status(thm)],[c_120262]) ).
cnf(c_120329,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_120263,c_3396]) ).
cnf(c_120330,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ r(X0)
| ~ qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_120329]) ).
cnf(c_120397,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120330,c_3353]) ).
cnf(c_120398,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ qq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_120397]) ).
cnf(c_120446,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_120398,c_60366]) ).
cnf(c_120527,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| ~ ap(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_120446]) ).
cnf(c_121254,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120527,c_3362]) ).
cnf(c_121255,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_121254]) ).
cnf(c_250532,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_250509,c_121255]) ).
cnf(c_250575,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ q(X0)
| p(X0)
| ~ rr(X0)
| ~ ar(X0)
| aq(X0) ),
inference(rewriting,[status(thm)],[c_250532]) ).
cnf(c_251523,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250575,c_3532,c_193289]) ).
cnf(c_251524,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_251523]) ).
cnf(c_144827,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(resolution,[status(thm)],[c_144766,c_3208]) ).
cnf(c_144830,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| q(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_144827]) ).
cnf(c_251528,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_251524,c_144830]) ).
cnf(c_251531,plain,
( ~ pp(s(X0))
| pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_251528]) ).
cnf(c_601212,plain,
( pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_599710,c_251531]) ).
cnf(c_601217,plain,
( pp(X0)
| ~ qq(X0)
| p(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_601212]) ).
cnf(c_690246,plain,
( pp(X0)
| ~ qq(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_690134,c_601217]) ).
cnf(c_690248,plain,
( pp(X0)
| ~ qq(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_690246]) ).
cnf(c_699547,plain,
( pp(X0)
| ~ ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_699541,c_690248]) ).
cnf(c_699550,plain,
( pp(X0)
| ~ ar(X0) ),
inference(rewriting,[status(thm)],[c_699547]) ).
cnf(c_699898,plain,
( pp(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_699550,c_3404]) ).
cnf(c_699899,plain,
( pp(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_699898]) ).
cnf(c_699560,plain,
( qq(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_699541,c_3404]) ).
cnf(c_699561,plain,
( qq(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_699560]) ).
cnf(c_699929,negated_conjecture,
( ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_699561,c_3522]) ).
cnf(c_699939,plain,
( ~ pp(X0)
| ~ rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_699929]) ).
cnf(c_691119,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_691116,c_616279]) ).
cnf(c_691122,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_691119]) ).
cnf(c_691368,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_691122,c_3544]) ).
cnf(c_691369,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0)
| ap(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_691368]) ).
cnf(c_691618,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0)
| ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_691612,c_691369]) ).
cnf(c_691621,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_691618]) ).
cnf(c_699549,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_699541,c_691621]) ).
cnf(c_699555,plain,
( ~ pp(X0)
| qq(X0)
| rr(X0) ),
inference(rewriting,[status(thm)],[c_699549]) ).
cnf(c_699581,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_699555,c_3368]) ).
cnf(c_699582,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0)
| ar(X0) ),
inference(rewriting,[status(thm)],[c_699581]) ).
cnf(c_699638,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_699582,c_699450]) ).
cnf(c_699639,plain,
( ~ pp(s(X0))
| qq(s(X0))
| rr(X0) ),
inference(rewriting,[status(thm)],[c_699638]) ).
cnf(c_691070,plain,
( ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_691046,c_615535]) ).
cnf(c_691091,plain,
( ~ qq(s(X0))
| ~ p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_691070]) ).
cnf(c_684355,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_684323,c_3344]) ).
cnf(c_684364,plain,
( ~ qq(X0)
| ~ q(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_684355]) ).
cnf(c_684872,negated_conjecture,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| p(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_684364,c_3370]) ).
cnf(c_684876,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| p(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_684872]) ).
cnf(c_691320,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_691091,c_684876]) ).
cnf(c_691323,plain,
( ~ pp(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_691320]) ).
cnf(c_699647,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| rr(X0)
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_699639,c_691323]) ).
cnf(c_699688,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_699647]) ).
cnf(c_699844,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| rr(X0)
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_699688,c_699555]) ).
cnf(c_699845,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| rr(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_699844]) ).
cnf(c_700019,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_699939,c_699845]) ).
cnf(c_700024,plain,
( ~ pp(s(X0))
| ~ pp(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_700019]) ).
cnf(c_700028,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_699939,c_3408]) ).
cnf(c_700029,plain,
( ~ pp(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_700028]) ).
cnf(c_700036,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_700029,c_699555]) ).
cnf(c_700037,plain,
( ~ pp(s(X0))
| qq(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_700036]) ).
cnf(c_699931,plain,
( ~ pp(X0)
| ~ qq(X0)
| ~ aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_699561,c_691323]) ).
cnf(c_699937,plain,
( ~ pp(X0)
| ~ qq(X0)
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_699931]) ).
cnf(c_700165,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_699937,c_3408]) ).
cnf(c_700166,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_700165]) ).
cnf(c_700370,plain,
( ~ pp(s(X0))
| ~ ap(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_700037,c_700166]) ).
cnf(c_700371,plain,
( ~ pp(s(X0))
| ~ ap(X0) ),
inference(rewriting,[status(thm)],[c_700370]) ).
cnf(c_700383,plain,
( ~ pp(s(X0))
| pp(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_700371,c_3362]) ).
cnf(c_700393,plain,
( ~ pp(s(X0))
| pp(X0) ),
inference(rewriting,[status(thm)],[c_700383]) ).
cnf(c_700742,plain,
( ~ pp(s(X0))
| ~ aq(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_700024,c_700393]) ).
cnf(c_700743,plain,
( ~ pp(s(X0))
| ~ aq(X0) ),
inference(rewriting,[status(thm)],[c_700742]) ).
cnf(c_701782,plain,
~ aq(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_699899,c_700743]) ).
cnf(c_701783,plain,
~ aq(X0),
inference(rewriting,[status(thm)],[c_701782]) ).
cnf(c_701800,negated_conjecture,
~ ap(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_701783,c_3408]) ).
cnf(c_701805,plain,
~ ap(X0),
inference(rewriting,[status(thm)],[c_701800]) ).
cnf(c_267,negated_conjecture,
ap(a),
file('/export/starexec/sandbox/tmp/iprover_modulo_50d7da.p',c_0_1339) ).
cnf(c_1489,negated_conjecture,
ap(a),
inference(copy,[status(esa)],[c_267]) ).
cnf(c_2147,negated_conjecture,
ap(a),
inference(copy,[status(esa)],[c_1489]) ).
cnf(c_2498,negated_conjecture,
ap(a),
inference(copy,[status(esa)],[c_2147]) ).
cnf(c_2857,negated_conjecture,
ap(a),
inference(copy,[status(esa)],[c_2498]) ).
cnf(c_3684,negated_conjecture,
ap(a),
inference(copy,[status(esa)],[c_2857]) ).
cnf(c_701937,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_701805,c_3684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM005-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 19:59:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.42 % Orientation found
% 0.19/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cc2108.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_50d7da.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9059f9 | grep -v "SZS"
% 0.19/0.45
% 0.19/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.45
% 0.19/0.45 %
% 0.19/0.45 % ------ iProver source info
% 0.19/0.45
% 0.19/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.45 % git: non_committed_changes: true
% 0.19/0.45 % git: last_make_outside_of_git: true
% 0.19/0.45
% 0.19/0.45 %
% 0.19/0.45 % ------ Input Options
% 0.19/0.45
% 0.19/0.45 % --out_options all
% 0.19/0.45 % --tptp_safe_out true
% 0.19/0.45 % --problem_path ""
% 0.19/0.45 % --include_path ""
% 0.19/0.45 % --clausifier .//eprover
% 0.19/0.45 % --clausifier_options --tstp-format
% 0.19/0.45 % --stdin false
% 0.19/0.45 % --dbg_backtrace false
% 0.19/0.45 % --dbg_dump_prop_clauses false
% 0.19/0.45 % --dbg_dump_prop_clauses_file -
% 0.19/0.45 % --dbg_out_stat false
% 0.19/0.45
% 0.19/0.45 % ------ General Options
% 0.19/0.45
% 0.19/0.45 % --fof false
% 0.19/0.45 % --time_out_real 150.
% 0.19/0.45 % --time_out_prep_mult 0.2
% 0.19/0.45 % --time_out_virtual -1.
% 0.19/0.45 % --schedule none
% 0.19/0.45 % --ground_splitting input
% 0.19/0.45 % --splitting_nvd 16
% 0.19/0.45 % --non_eq_to_eq false
% 0.19/0.45 % --prep_gs_sim true
% 0.19/0.45 % --prep_unflatten false
% 0.19/0.45 % --prep_res_sim true
% 0.19/0.45 % --prep_upred true
% 0.19/0.45 % --res_sim_input true
% 0.19/0.45 % --clause_weak_htbl true
% 0.19/0.45 % --gc_record_bc_elim false
% 0.19/0.45 % --symbol_type_check false
% 0.19/0.45 % --clausify_out false
% 0.19/0.45 % --large_theory_mode false
% 0.19/0.45 % --prep_sem_filter none
% 0.19/0.45 % --prep_sem_filter_out false
% 0.19/0.45 % --preprocessed_out false
% 0.19/0.45 % --sub_typing false
% 0.19/0.45 % --brand_transform false
% 0.19/0.45 % --pure_diseq_elim true
% 0.19/0.45 % --min_unsat_core false
% 0.19/0.45 % --pred_elim true
% 0.19/0.45 % --add_important_lit false
% 0.19/0.45 % --soft_assumptions false
% 0.19/0.45 % --reset_solvers false
% 0.19/0.45 % --bc_imp_inh []
% 0.19/0.45 % --conj_cone_tolerance 1.5
% 0.19/0.45 % --prolific_symb_bound 500
% 0.19/0.45 % --lt_threshold 2000
% 0.19/0.45
% 0.19/0.45 % ------ SAT Options
% 0.19/0.45
% 0.19/0.45 % --sat_mode false
% 0.19/0.45 % --sat_fm_restart_options ""
% 0.19/0.45 % --sat_gr_def false
% 0.19/0.45 % --sat_epr_types true
% 0.19/0.45 % --sat_non_cyclic_types false
% 0.19/0.45 % --sat_finite_models false
% 0.19/0.45 % --sat_fm_lemmas false
% 0.19/0.45 % --sat_fm_prep false
% 0.19/0.45 % --sat_fm_uc_incr true
% 0.19/0.45 % --sat_out_model small
% 0.19/0.45 % --sat_out_clauses false
% 0.19/0.45
% 0.19/0.45 % ------ QBF Options
% 0.19/0.45
% 0.19/0.45 % --qbf_mode false
% 0.19/0.45 % --qbf_elim_univ true
% 0.19/0.45 % --qbf_sk_in true
% 0.19/0.45 % --qbf_pred_elim true
% 0.19/0.45 % --qbf_split 32
% 0.19/0.45
% 0.19/0.45 % ------ BMC1 Options
% 0.19/0.45
% 0.19/0.45 % --bmc1_incremental false
% 0.19/0.45 % --bmc1_axioms reachable_all
% 0.19/0.45 % --bmc1_min_bound 0
% 0.19/0.45 % --bmc1_max_bound -1
% 0.19/0.45 % --bmc1_max_bound_default -1
% 0.19/0.45 % --bmc1_symbol_reachability true
% 0.19/0.45 % --bmc1_property_lemmas false
% 0.19/0.45 % --bmc1_k_induction false
% 0.19/0.45 % --bmc1_non_equiv_states false
% 0.19/0.45 % --bmc1_deadlock false
% 0.19/0.45 % --bmc1_ucm false
% 0.19/0.45 % --bmc1_add_unsat_core none
% 0.19/0.45 % --bmc1_unsat_core_children false
% 0.19/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.45 % --bmc1_out_stat full
% 0.19/0.45 % --bmc1_ground_init false
% 0.19/0.45 % --bmc1_pre_inst_next_state false
% 0.19/0.45 % --bmc1_pre_inst_state false
% 0.19/0.45 % --bmc1_pre_inst_reach_state false
% 0.19/0.45 % --bmc1_out_unsat_core false
% 0.19/0.45 % --bmc1_aig_witness_out false
% 0.19/0.45 % --bmc1_verbose false
% 0.19/0.45 % --bmc1_dump_clauses_tptp false
% 0.19/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.52 % --bmc1_dump_file -
% 0.19/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.52 % --bmc1_ucm_extend_mode 1
% 0.19/0.52 % --bmc1_ucm_init_mode 2
% 0.19/0.52 % --bmc1_ucm_cone_mode none
% 0.19/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.52 % --bmc1_ucm_relax_model 4
% 0.19/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.52 % --bmc1_ucm_layered_model none
% 0.19/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.52
% 0.19/0.52 % ------ AIG Options
% 0.19/0.52
% 0.19/0.52 % --aig_mode false
% 0.19/0.52
% 0.19/0.52 % ------ Instantiation Options
% 0.19/0.52
% 0.19/0.52 % --instantiation_flag true
% 0.19/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.52 % --inst_solver_per_active 750
% 0.19/0.52 % --inst_solver_calls_frac 0.5
% 0.19/0.52 % --inst_passive_queue_type priority_queues
% 0.19/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.52 % --inst_passive_queues_freq [25;2]
% 0.19/0.52 % --inst_dismatching true
% 0.19/0.52 % --inst_eager_unprocessed_to_passive true
% 0.19/0.52 % --inst_prop_sim_given true
% 0.19/0.52 % --inst_prop_sim_new false
% 0.19/0.52 % --inst_orphan_elimination true
% 0.19/0.52 % --inst_learning_loop_flag true
% 0.19/0.52 % --inst_learning_start 3000
% 0.19/0.52 % --inst_learning_factor 2
% 0.19/0.52 % --inst_start_prop_sim_after_learn 3
% 0.19/0.52 % --inst_sel_renew solver
% 0.19/0.52 % --inst_lit_activity_flag true
% 0.19/0.52 % --inst_out_proof true
% 0.19/0.52
% 0.19/0.52 % ------ Resolution Options
% 0.19/0.52
% 0.19/0.52 % --resolution_flag true
% 0.19/0.52 % --res_lit_sel kbo_max
% 0.19/0.52 % --res_to_prop_solver none
% 0.19/0.52 % --res_prop_simpl_new false
% 0.19/0.52 % --res_prop_simpl_given false
% 0.19/0.52 % --res_passive_queue_type priority_queues
% 0.19/0.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.52 % --res_passive_queues_freq [15;5]
% 0.19/0.52 % --res_forward_subs full
% 0.19/0.52 % --res_backward_subs full
% 0.19/0.52 % --res_forward_subs_resolution true
% 0.19/0.52 % --res_backward_subs_resolution true
% 0.19/0.52 % --res_orphan_elimination false
% 0.19/0.52 % --res_time_limit 1000.
% 0.19/0.52 % --res_out_proof true
% 0.19/0.52 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cc2108.s
% 0.19/0.52 % --modulo true
% 0.19/0.52
% 0.19/0.52 % ------ Combination Options
% 0.19/0.52
% 0.19/0.52 % --comb_res_mult 1000
% 0.19/0.52 % --comb_inst_mult 300
% 0.19/0.52 % ------
% 0.19/0.52
% 0.19/0.52 % ------ Parsing...% successful
% 0.19/0.52
% 0.19/0.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.19/0.52
% 0.19/0.52 % ------ Proving...
% 0.19/0.52 % ------ Problem Properties
% 0.19/0.52
% 0.19/0.52 %
% 0.19/0.52 % EPR false
% 0.19/0.52 % Horn false
% 0.19/0.52 % Has equality false
% 0.19/0.52
% 0.19/0.52 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % % ------ Current options:
% 0.19/0.52
% 0.19/0.52 % ------ Input Options
% 0.19/0.52
% 0.19/0.52 % --out_options all
% 0.19/0.52 % --tptp_safe_out true
% 0.19/0.52 % --problem_path ""
% 0.19/0.52 % --include_path ""
% 0.19/0.52 % --clausifier .//eprover
% 0.19/0.52 % --clausifier_options --tstp-format
% 0.19/0.52 % --stdin false
% 0.19/0.52 % --dbg_backtrace false
% 0.19/0.52 % --dbg_dump_prop_clauses false
% 0.19/0.52 % --dbg_dump_prop_clauses_file -
% 0.19/0.52 % --dbg_out_stat false
% 0.19/0.52
% 0.19/0.52 % ------ General Options
% 0.19/0.52
% 0.19/0.52 % --fof false
% 0.19/0.52 % --time_out_real 150.
% 0.19/0.52 % --time_out_prep_mult 0.2
% 0.19/0.52 % --time_out_virtual -1.
% 0.19/0.52 % --schedule none
% 0.19/0.52 % --ground_splitting input
% 0.19/0.52 % --splitting_nvd 16
% 0.19/0.52 % --non_eq_to_eq false
% 0.19/0.52 % --prep_gs_sim true
% 0.19/0.52 % --prep_unflatten false
% 0.19/0.52 % --prep_res_sim true
% 0.19/0.52 % --prep_upred true
% 0.19/0.52 % --res_sim_input true
% 0.19/0.52 % --clause_weak_htbl true
% 0.19/0.52 % --gc_record_bc_elim false
% 0.19/0.52 % --symbol_type_check false
% 0.19/0.52 % --clausify_out false
% 0.19/0.52 % --large_theory_mode false
% 0.19/0.52 % --prep_sem_filter none
% 0.19/0.52 % --prep_sem_filter_out false
% 0.19/0.52 % --preprocessed_out false
% 0.19/0.52 % --sub_typing false
% 0.19/0.52 % --brand_transform false
% 0.19/0.52 % --pure_diseq_elim true
% 0.19/0.52 % --min_unsat_core false
% 0.19/0.52 % --pred_elim true
% 0.19/0.52 % --add_important_lit false
% 0.19/0.52 % --soft_assumptions false
% 0.19/0.52 % --reset_solvers false
% 0.19/0.52 % --bc_imp_inh []
% 0.19/0.52 % --conj_cone_tolerance 1.5
% 0.19/0.52 % --prolific_symb_bound 500
% 0.19/0.52 % --lt_threshold 2000
% 0.19/0.52
% 0.19/0.52 % ------ SAT Options
% 0.19/0.52
% 0.19/0.52 % --sat_mode false
% 0.19/0.52 % --sat_fm_restart_options ""
% 0.19/0.52 % --sat_gr_def false
% 0.19/0.52 % --sat_epr_types true
% 0.19/0.52 % --sat_non_cyclic_types false
% 0.19/0.52 % --sat_finite_models false
% 0.19/0.52 % --sat_fm_lemmas false
% 0.19/0.52 % --sat_fm_prep false
% 0.19/0.52 % --sat_fm_uc_incr true
% 0.19/0.52 % --sat_out_model small
% 0.19/0.52 % --sat_out_clauses false
% 0.19/0.52
% 0.19/0.52 % ------ QBF Options
% 0.19/0.52
% 0.19/0.52 % --qbf_mode false
% 0.19/0.52 % --qbf_elim_univ true
% 0.19/0.52 % --qbf_sk_in true
% 0.19/0.52 % --qbf_pred_elim true
% 0.19/0.52 % --qbf_split 32
% 0.19/0.52
% 0.19/0.52 % ------ BMC1 Options
% 0.19/0.52
% 0.19/0.52 % --bmc1_incremental false
% 0.19/0.52 % --bmc1_axioms reachable_all
% 0.19/0.52 % --bmc1_min_bound 0
% 0.19/0.52 % --bmc1_max_bound -1
% 0.19/0.52 % --bmc1_max_bound_default -1
% 0.19/0.52 % --bmc1_symbol_reachability true
% 0.19/0.52 % --bmc1_property_lemmas false
% 0.19/0.52 % --bmc1_k_induction false
% 0.19/0.52 % --bmc1_non_equiv_states false
% 0.19/0.52 % --bmc1_deadlock false
% 0.19/0.52 % --bmc1_ucm false
% 0.19/0.52 % --bmc1_add_unsat_core none
% 0.19/0.52 % --bmc1_unsat_core_children false
% 0.19/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.52 % --bmc1_out_stat full
% 0.19/0.52 % --bmc1_ground_init false
% 0.19/0.52 % --bmc1_pre_inst_next_state false
% 0.19/0.52 % --bmc1_pre_inst_state false
% 0.19/0.52 % --bmc1_pre_inst_reach_state false
% 0.19/0.52 % --bmc1_out_unsat_core false
% 0.19/0.52 % --bmc1_aig_witness_out false
% 0.19/0.52 % --bmc1_verbose false
% 0.19/0.52 % --bmc1_dump_clauses_tptp false
% 0.19/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.52 % --bmc1_dump_file -
% 0.19/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.52 % --bmc1_ucm_extend_mode 1
% 0.19/0.52 % --bmc1_ucm_init_mode 2
% 0.19/0.52 % --bmc1_ucm_cone_mode none
% 0.19/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.52 % --bmc1_ucm_relax_model 4
% 0.19/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.52 % --bmc1_ucm_layered_model none
% 0.19/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.52
% 0.19/0.52 % ------ AIG Options
% 0.19/0.52
% 0.19/0.52 % --aig_mode false
% 0.19/0.52
% 0.19/0.52 % ------ Instantiation Options
% 0.19/0.52
% 0.19/0.52 % --instantiation_flag true
% 0.19/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.52 % --inst_solver_per_active 750
% 0.19/0.52 % --inst_solver_calls_frac 0.5
% 0.19/0.52 % --inst_passive_queue_type priority_queues
% 0.19/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.52 % --inst_passive_queues_freq [25;2]
% 0.19/0.52 % --inst_dismatching true
% 0.19/0.52 % --inst_eager_unprocessed_to_passive true
% 0.19/0.52 % --inst_prop_sim_given true
% 15.66/15.88 % --inst_prop_sim_new false
% 15.66/15.88 % --inst_orphan_elimination true
% 15.66/15.88 % --inst_learning_loop_flag true
% 15.66/15.88 % --inst_learning_start 3000
% 15.66/15.88 % --inst_learning_factor 2
% 15.66/15.88 % --inst_start_prop_sim_after_learn 3
% 15.66/15.88 % --inst_sel_renew solver
% 15.66/15.88 % --inst_lit_activity_flag true
% 15.66/15.88 % --inst_out_proof true
% 15.66/15.88
% 15.66/15.88 % ------ Resolution Options
% 15.66/15.88
% 15.66/15.88 % --resolution_flag true
% 15.66/15.88 % --res_lit_sel kbo_max
% 15.66/15.88 % --res_to_prop_solver none
% 15.66/15.88 % --res_prop_simpl_new false
% 15.66/15.88 % --res_prop_simpl_given false
% 15.66/15.88 % --res_passive_queue_type priority_queues
% 15.66/15.88 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 15.66/15.88 % --res_passive_queues_freq [15;5]
% 15.66/15.88 % --res_forward_subs full
% 15.66/15.88 % --res_backward_subs full
% 15.66/15.88 % --res_forward_subs_resolution true
% 15.66/15.88 % --res_backward_subs_resolution true
% 15.66/15.88 % --res_orphan_elimination false
% 15.66/15.88 % --res_time_limit 1000.
% 15.66/15.88 % --res_out_proof true
% 15.66/15.88 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_cc2108.s
% 15.66/15.88 % --modulo true
% 15.66/15.88
% 15.66/15.88 % ------ Combination Options
% 15.66/15.88
% 15.66/15.88 % --comb_res_mult 1000
% 15.66/15.88 % --comb_inst_mult 300
% 15.66/15.88 % ------
% 15.66/15.88
% 15.66/15.88
% 15.66/15.88
% 15.66/15.88 % ------ Proving...
% 15.66/15.88 %
% 15.66/15.88
% 15.66/15.88
% 15.66/15.88 % Resolution empty clause
% 15.66/15.88
% 15.66/15.88 % ------ Statistics
% 15.66/15.88
% 15.66/15.88 % ------ General
% 15.66/15.88
% 15.66/15.88 % num_of_input_clauses: 268
% 15.66/15.88 % num_of_input_neg_conjectures: 268
% 15.66/15.88 % num_of_splits: 0
% 15.66/15.88 % num_of_split_atoms: 0
% 15.66/15.88 % num_of_sem_filtered_clauses: 0
% 15.66/15.88 % num_of_subtypes: 0
% 15.66/15.88 % monotx_restored_types: 0
% 15.66/15.88 % sat_num_of_epr_types: 0
% 15.66/15.88 % sat_num_of_non_cyclic_types: 0
% 15.66/15.88 % sat_guarded_non_collapsed_types: 0
% 15.66/15.88 % is_epr: 0
% 15.66/15.88 % is_horn: 0
% 15.66/15.88 % has_eq: 0
% 15.66/15.88 % num_pure_diseq_elim: 0
% 15.66/15.88 % simp_replaced_by: 38
% 15.66/15.88 % res_preprocessed: 536
% 15.66/15.88 % prep_upred: 0
% 15.66/15.88 % prep_unflattend: 0
% 15.66/15.88 % pred_elim_cands: 0
% 15.66/15.88 % pred_elim: 0
% 15.66/15.88 % pred_elim_cl: 0
% 15.66/15.88 % pred_elim_cycles: 0
% 15.66/15.88 % forced_gc_time: 0
% 15.66/15.88 % gc_basic_clause_elim: 0
% 15.66/15.88 % parsing_time: 0.01
% 15.66/15.88 % sem_filter_time: 0.
% 15.66/15.88 % pred_elim_time: 0.002
% 15.66/15.88 % out_proof_time: 0.197
% 15.66/15.88 % monotx_time: 0.
% 15.66/15.88 % subtype_inf_time: 0.
% 15.66/15.88 % unif_index_cands_time: 0.021
% 15.66/15.88 % unif_index_add_time: 0.018
% 15.66/15.88 % total_time: 15.448
% 15.66/15.88 % num_of_symbols: 51
% 15.66/15.88 % num_of_terms: 2497
% 15.66/15.88
% 15.66/15.88 % ------ Propositional Solver
% 15.66/15.88
% 15.66/15.88 % prop_solver_calls: 60
% 15.66/15.88 % prop_fast_solver_calls: 5097
% 15.66/15.88 % prop_num_of_clauses: 8356
% 15.66/15.88 % prop_preprocess_simplified: 18454
% 15.66/15.88 % prop_fo_subsumed: 648
% 15.66/15.88 % prop_solver_time: 0.015
% 15.66/15.88 % prop_fast_solver_time: 0.014
% 15.66/15.88 % prop_unsat_core_time: 0.
% 15.66/15.88
% 15.66/15.88 % ------ QBF
% 15.66/15.88
% 15.66/15.88 % qbf_q_res: 0
% 15.66/15.88 % qbf_num_tautologies: 0
% 15.66/15.88 % qbf_prep_cycles: 0
% 15.66/15.88
% 15.66/15.88 % ------ BMC1
% 15.66/15.88
% 15.66/15.88 % bmc1_current_bound: -1
% 15.66/15.88 % bmc1_last_solved_bound: -1
% 15.66/15.88 % bmc1_unsat_core_size: -1
% 15.66/15.88 % bmc1_unsat_core_parents_size: -1
% 15.66/15.88 % bmc1_merge_next_fun: 0
% 15.66/15.88 % bmc1_unsat_core_clauses_time: 0.
% 15.66/15.88
% 15.66/15.88 % ------ Instantiation
% 15.66/15.88
% 15.66/15.88 % inst_num_of_clauses: 3468
% 15.66/15.88 % inst_num_in_passive: 364
% 15.66/15.88 % inst_num_in_active: 3009
% 15.66/15.88 % inst_num_in_unprocessed: 95
% 15.66/15.88 % inst_num_of_loops: 5999
% 15.66/15.88 % inst_num_of_learning_restarts: 1
% 15.66/15.88 % inst_num_moves_active_passive: 2953
% 15.66/15.88 % inst_lit_activity: 110
% 15.66/15.88 % inst_lit_activity_moves: 0
% 15.66/15.88 % inst_num_tautologies: 0
% 15.66/15.88 % inst_num_prop_implied: 0
% 15.66/15.88 % inst_num_existing_simplified: 0
% 15.66/15.88 % inst_num_eq_res_simplified: 0
% 15.66/15.88 % inst_num_child_elim: 0
% 15.66/15.88 % inst_num_of_dismatching_blockings: 20971
% 15.66/15.88 % inst_num_of_non_proper_insts: 53802
% 15.66/15.88 % inst_num_of_duplicates: 22487
% 15.66/15.88 % inst_inst_num_from_inst_to_res: 0
% 15.66/15.88 % inst_dismatching_checking_time: 0.011
% 15.66/15.88
% 15.66/15.88 % ------ Resolution
% 15.66/15.88
% 15.66/15.88 % res_num_of_clauses: 8268
% 15.66/15.88 % res_num_in_passive: 11481
% 15.66/15.88 % res_num_in_active: 209
% 15.66/15.88 % res_num_of_loops: 30230
% 15.66/15.88 % res_forward_subset_subsumed: 61987
% 15.66/15.88 % res_backward_subset_subsumed: 6869
% 15.66/15.88 % res_forward_subsumed: 22619
% 15.66/15.88 % res_backward_subsumed: 3885
% 15.66/15.88 % res_forward_subsumption_resolution: 7013
% 15.66/15.88 % res_backward_subsumption_resolution: 2439
% 15.66/15.88 % res_clause_to_clause_subsumption: 109919
% 15.66/15.88 % res_orphan_elimination: 0
% 15.66/15.88 % res_tautology_del: 155102
% 15.66/15.88 % res_num_eq_res_simplified: 0
% 15.66/15.88 % res_num_sel_changes: 0
% 15.66/15.88 % res_moves_from_active_to_pass: 0
% 15.66/15.88
% 15.66/15.88 % Status Unsatisfiable
% 15.66/15.88 % SZS status Unsatisfiable
% 15.66/15.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------