%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN784-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : 300s
% DateTime : Tue May 5 05:40:53 PM UTC 2026
% Result : Unsatisfiable 1.72s 1.85s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 32
% Syntax : Number of clauses : 409 ( 9 unt; 223 nHn; 388 RR)
% Number of literals : 1947 ( 0 equ;1260 neg)
% Maximal clause size : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 645 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause42,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause1,negated_conjecture,
ssRr(skf3(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause5,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause39,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv2(X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause40,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause7,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause16,negated_conjecture,
( ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
cnf(clause17,negated_conjecture,
( ssPv4(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(clause2,negated_conjecture,
ssRr(X1,skf2(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause19,negated_conjecture,
( ssPv2(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
cnf(clause6,negated_conjecture,
( ssPv1(X2)
| ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause3,negated_conjecture,
( ssPv4(X1)
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause24,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
cnf(clause18,negated_conjecture,
( ssPv3(X3)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
cnf(clause12,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause15,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(clause10,negated_conjecture,
( ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause38,negated_conjecture,
( ssPv2(X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause14,negated_conjecture,
( ssPv4(X3)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(clause4,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause27,negated_conjecture,
( ssPv1(X1)
| ssPv4(X3)
| ssPv2(X4)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause34,negated_conjecture,
( ssPv4(X3)
| ssPv3(X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause23,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
cnf(clause21,negated_conjecture,
( ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
cnf(clause41,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause20,negated_conjecture,
( ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause22,negated_conjecture,
( ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause9,negated_conjecture,
( ssPv2(X1)
| ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause8,negated_conjecture,
( ssPv4(X2)
| ssPv3(X3)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause13,negated_conjecture,
( ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(clause28,negated_conjecture,
( ssPv4(X1)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv4(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
cnf(clause32,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
cnf(c_0_32,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ~ ssPv1(X2) ),
clause42 ).
cnf(c_0_33,negated_conjecture,
ssRr(skf3(X1),X1),
clause1 ).
cnf(c_0_34,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause5 ).
cnf(c_0_35,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv2(X4)
| ~ ssPv1(X2) ),
clause39 ).
cnf(c_0_38,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv3(X2) ),
clause40 ).
cnf(c_0_39,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
clause7 ).
cnf(c_0_40,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( ssPv4(X1)
| ~ ssPv1(skf3(X2))
| ~ ssPv2(X2)
| ~ ssPv4(X3)
| ~ ssRr(skf3(X2),X3)
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1) ),
clause16 ).
cnf(c_0_43,negated_conjecture,
( ssPv4(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
clause17 ).
cnf(c_0_44,negated_conjecture,
ssRr(X1,skf2(X1)),
clause2 ).
cnf(c_0_45,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_47,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_48,negated_conjecture,
( ssPv4(X1)
| ~ ssPv1(skf3(X2))
| ~ ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_49,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( ssPv2(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3) ),
clause19 ).
cnf(c_0_52,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( ssPv1(X2)
| ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
clause6 ).
cnf(c_0_54,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf3(skf3(X1)))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_47,c_0_33]) ).
cnf(c_0_55,negated_conjecture,
( ssPv4(skf3(skf3(X1)))
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf2(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_49,c_0_44]) ).
cnf(c_0_57,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(skf2(skf3(X1)))
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_58,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_33]) ).
cnf(c_0_59,negated_conjecture,
( ssPv4(X1)
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2) ),
clause3 ).
cnf(c_0_60,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_61,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_62,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X1) ),
clause24 ).
cnf(c_0_64,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf3(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_33]) ).
cnf(c_0_66,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf3(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_33]) ).
cnf(c_0_67,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(skf2(X2))
| ~ ssPv3(X3)
| ~ ssRr(skf2(X2),X1)
| ~ ssRr(X3,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_68,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_33]) ).
cnf(c_0_70,negated_conjecture,
( ssPv1(X1)
| ssPv2(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_46]) ).
cnf(c_0_71,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_72,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_46]) ).
cnf(c_0_73,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ~ ssPv1(skf2(skf2(X1)))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_44]) ).
cnf(c_0_75,negated_conjecture,
( ssPv3(X3)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
clause18 ).
cnf(c_0_76,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause12 ).
cnf(c_0_77,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_33]) ).
cnf(c_0_78,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_33]) ).
cnf(c_0_80,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_61]) ).
cnf(c_0_82,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_33]) ).
cnf(c_0_83,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
clause15 ).
cnf(c_0_84,negated_conjecture,
( ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
clause10 ).
cnf(c_0_85,negated_conjecture,
( ssPv2(X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X2) ),
clause38 ).
cnf(c_0_86,negated_conjecture,
( ssPv2(X1)
| ssPv4(X2)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_44]) ).
cnf(c_0_87,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_33]) ).
cnf(c_0_90,negated_conjecture,
( ssPv3(skf3(skf2(X1)))
| ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_44]) ).
cnf(c_0_91,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_44]) ).
cnf(c_0_92,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X2)
| ssPv2(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_44]) ).
cnf(c_0_93,negated_conjecture,
( ssPv4(X3)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
clause14 ).
cnf(c_0_94,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_44]) ).
cnf(c_0_95,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_44]) ).
cnf(c_0_96,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_98,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_91,c_0_33]) ).
cnf(c_0_100,negated_conjecture,
( ssPv3(skf3(skf2(X1)))
| ssPv3(skf2(X1))
| ssPv2(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_33]) ).
cnf(c_0_101,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2) ),
clause4 ).
cnf(c_0_102,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_44]) ).
cnf(c_0_103,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_44]) ).
cnf(c_0_104,negated_conjecture,
( ssPv1(X1)
| ssPv4(X3)
| ssPv2(X4)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4) ),
clause27 ).
cnf(c_0_105,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_44]) ).
cnf(c_0_109,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_44]) ).
cnf(c_0_110,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_103,c_0_44]) ).
cnf(c_0_111,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_44]) ).
cnf(c_0_112,negated_conjecture,
( ssPv1(X1)
| ssPv3(X2)
| ssPv2(skf2(X2))
| ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_44]) ).
cnf(c_0_113,negated_conjecture,
( ssPv4(X3)
| ssPv3(X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2) ),
clause34 ).
cnf(c_0_114,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_115,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause23 ).
cnf(c_0_119,negated_conjecture,
( ssPv1(X1)
| ssPv3(X2)
| ssPv2(skf2(X2))
| ssPv4(skf2(X2))
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_44]) ).
cnf(c_0_120,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X2)
| ~ ssPv2(X3)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_44]) ).
cnf(c_0_121,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_44]) ).
cnf(c_0_124,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_103,c_0_33]) ).
cnf(c_0_125,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv3(X1)
| ssPv2(skf2(X1))
| ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_33]) ).
cnf(c_0_126,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_44]) ).
cnf(c_0_127,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(X2)
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_33]) ).
cnf(c_0_128,negated_conjecture,
( ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
clause21 ).
cnf(c_0_129,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_130,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_33]) ).
cnf(c_0_131,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
cnf(c_0_132,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_33]) ).
cnf(c_0_134,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_33]) ).
cnf(c_0_135,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_44]) ).
cnf(c_0_136,negated_conjecture,
( ssPv1(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_44]) ).
cnf(c_0_137,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv1(X2) ),
clause41 ).
cnf(c_0_138,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_44]) ).
cnf(c_0_139,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_140,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_141,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_142,negated_conjecture,
( ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2) ),
clause20 ).
cnf(c_0_143,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_44]) ).
cnf(c_0_144,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_136]) ).
cnf(c_0_145,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_44]) ).
cnf(c_0_146,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_138,c_0_44]) ).
cnf(c_0_147,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_149,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_44]) ).
cnf(c_0_150,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_151,negated_conjecture,
( ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
clause22 ).
cnf(c_0_152,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_153,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_118,c_0_33]) ).
cnf(c_0_155,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(skf2(X2))
| ~ ssPv3(skf2(X2))
| ~ ssPv2(skf2(X2))
| ~ ssPv4(skf2(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv2(skf3(X1))
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_151,c_0_33]) ).
cnf(c_0_157,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(skf3(X2))
| ~ ssPv4(skf3(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_142,c_0_33]) ).
cnf(c_0_158,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(skf2(X1),X2)
| ~ ssRr(X3,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_145,c_0_136]) ).
cnf(c_0_159,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_160,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf2(X1))
| ~ ssPv1(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_44]) ).
cnf(c_0_161,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(skf3(X1)))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_33]) ).
cnf(c_0_162,negated_conjecture,
( ssPv3(X1)
| ssPv3(X2)
| ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_33]) ).
cnf(c_0_163,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_44]) ).
cnf(c_0_164,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_156,c_0_33]) ).
cnf(c_0_165,negated_conjecture,
( ssPv3(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_33]) ).
cnf(c_0_166,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(skf2(X1)))
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_158,c_0_44]) ).
cnf(c_0_167,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_44]) ).
cnf(c_0_168,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_44]) ).
cnf(c_0_169,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_55]) ).
cnf(c_0_170,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_171,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_33]) ).
cnf(c_0_172,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_33]) ).
cnf(c_0_173,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_96]) ).
cnf(c_0_174,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_44]) ).
cnf(c_0_175,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_176,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf3(X1))
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_33]) ).
cnf(c_0_177,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_166,c_0_144]) ).
cnf(c_0_178,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_179,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_180,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_171]) ).
cnf(c_0_181,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_33]) ).
cnf(c_0_182,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_168]) ).
cnf(c_0_183,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_174,c_0_108]) ).
cnf(c_0_184,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_36]) ).
cnf(c_0_185,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_186,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_176]) ).
cnf(c_0_187,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_44]) ).
cnf(c_0_188,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_153]) ).
cnf(c_0_189,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_190,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_180]) ).
cnf(c_0_191,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_184]) ).
cnf(c_0_193,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_194,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_186]) ).
cnf(c_0_195,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(skf2(X2))
| ~ ssPv3(skf2(X2))
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_149,c_0_187]) ).
cnf(c_0_196,negated_conjecture,
( ssPv3(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_188,c_0_44]) ).
cnf(c_0_197,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_198,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_199,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_200,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_44]) ).
cnf(c_0_201,negated_conjecture,
( ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_202,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_203,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_146]) ).
cnf(c_0_204,negated_conjecture,
( ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_205,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_206,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_136]) ).
cnf(c_0_207,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_153]) ).
cnf(c_0_208,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_44]) ).
cnf(c_0_209,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_44]) ).
cnf(c_0_210,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_207,c_0_197]) ).
cnf(c_0_211,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_212,negated_conjecture,
( ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_202]) ).
cnf(c_0_213,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_202]) ).
cnf(c_0_214,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_73]) ).
cnf(c_0_215,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_216,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf3(skf2(X1)))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_213]) ).
cnf(c_0_217,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv4(skf3(skf2(X1)))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_214]) ).
cnf(c_0_218,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_187]) ).
cnf(c_0_219,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_220,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_221,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_220,c_0_212]) ).
cnf(c_0_222,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_33]) ).
cnf(c_0_223,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_150]) ).
cnf(c_0_224,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_90]) ).
cnf(c_0_225,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_223,c_0_96]) ).
cnf(c_0_226,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_224,c_0_98]) ).
cnf(c_0_227,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_44]) ).
cnf(c_0_228,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_229,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_230,negated_conjecture,
( ssPv2(X1)
| ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
clause9 ).
cnf(c_0_231,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_232,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_227,c_0_44]) ).
cnf(c_0_233,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_228]) ).
cnf(c_0_234,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_227,c_0_33]) ).
cnf(c_0_235,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_33]) ).
cnf(c_0_236,negated_conjecture,
( ssPv4(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X2)
| ~ ssPv4(skf3(X1))
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_33]) ).
cnf(c_0_237,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X2))
| ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_230,c_0_44]) ).
cnf(c_0_238,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_33]) ).
cnf(c_0_239,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_212]) ).
cnf(c_0_240,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_143,c_0_232]) ).
cnf(c_0_241,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_242,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_46]) ).
cnf(c_0_243,negated_conjecture,
( ssPv4(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_236,c_0_33]) ).
cnf(c_0_244,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_237,c_0_33]) ).
cnf(c_0_245,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_238,c_0_33]) ).
cnf(c_0_246,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X3)
| ~ ssRr(skf2(X1),X2)
| ~ ssRr(X3,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_44]) ).
cnf(c_0_247,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_248,negated_conjecture,
( ssPv1(X1)
| ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_249,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_91,c_0_44]) ).
cnf(c_0_250,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_251,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_46]) ).
cnf(c_0_252,negated_conjecture,
( ssPv4(X2)
| ssPv3(X3)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3) ),
clause8 ).
cnf(c_0_253,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(skf2(X1)))
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_44]) ).
cnf(c_0_254,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_247,c_0_96]) ).
cnf(c_0_255,negated_conjecture,
( ssPv1(X1)
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_256,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_257,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(X2)
| ssPv4(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_252,c_0_44]) ).
cnf(c_0_258,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_253,c_0_117]) ).
cnf(c_0_259,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_110]) ).
cnf(c_0_260,negated_conjecture,
( ssPv1(X1)
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_261,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf2(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_44]) ).
cnf(c_0_262,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_263,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf2(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_257,c_0_44]) ).
cnf(c_0_264,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_258,c_0_44]) ).
cnf(c_0_265,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_259,c_0_212]) ).
cnf(c_0_266,negated_conjecture,
( ssPv1(X1)
| ssPv4(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_33]) ).
cnf(c_0_267,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_261,c_0_249]) ).
cnf(c_0_268,negated_conjecture,
( ssPv4(skf2(skf3(X1)))
| ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_33]) ).
cnf(c_0_269,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_270,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_264]) ).
cnf(c_0_271,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_265,c_0_122]) ).
cnf(c_0_272,negated_conjecture,
( ssPv1(X1)
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_266,c_0_242]) ).
cnf(c_0_273,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_274,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_269,c_0_33]) ).
cnf(c_0_275,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_130]) ).
cnf(c_0_276,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_277,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_272]) ).
cnf(c_0_278,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv2(skf3(skf2(X1)))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_162,c_0_44]) ).
cnf(c_0_279,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ssPv4(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_252,c_0_33]) ).
cnf(c_0_280,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_262,c_0_115]) ).
cnf(c_0_281,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_274,c_0_66]) ).
cnf(c_0_282,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_275]) ).
cnf(c_0_283,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf3(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_33]) ).
cnf(c_0_284,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_276,c_0_110]) ).
cnf(c_0_285,negated_conjecture,
( ssPv3(skf2(skf2(X1)))
| ssPv4(skf2(skf2(X1)))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_126,c_0_44]) ).
cnf(c_0_286,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf3(skf2(X1)))
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_287,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_33]) ).
cnf(c_0_288,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_289,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_290,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_244]) ).
cnf(c_0_291,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_292,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf3(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_243,c_0_278]) ).
cnf(c_0_293,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf3(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_294,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_288,c_0_33]) ).
cnf(c_0_295,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_289]) ).
cnf(c_0_296,negated_conjecture,
( ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_44]) ).
cnf(c_0_297,negated_conjecture,
( ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
clause13 ).
cnf(c_0_298,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_290,c_0_44]) ).
cnf(c_0_299,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_291]) ).
cnf(c_0_300,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_301,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_294,c_0_66]) ).
cnf(c_0_302,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_295,c_0_96]) ).
cnf(c_0_303,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(skf2(X1),X2) ),
inference(spm,[status(thm)],[c_0_296,c_0_232]) ).
cnf(c_0_304,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_297,c_0_33]) ).
cnf(c_0_305,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_209]) ).
cnf(c_0_306,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_298,c_0_117]) ).
cnf(c_0_307,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_299,c_0_219]) ).
cnf(c_0_308,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_309,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_302,c_0_106]) ).
cnf(c_0_310,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv2(skf2(skf2(X1)))
| ssPv4(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_119,c_0_44]) ).
cnf(c_0_311,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(skf3(skf2(X1)))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_33]) ).
cnf(c_0_312,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_303,c_0_44]) ).
cnf(c_0_313,negated_conjecture,
( ssPv4(skf3(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_304,c_0_44]) ).
cnf(c_0_314,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_305,c_0_249]) ).
cnf(c_0_315,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_306,c_0_44]) ).
cnf(c_0_316,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_307,c_0_212]) ).
cnf(c_0_317,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_308]) ).
cnf(c_0_318,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_309,c_0_212]) ).
cnf(c_0_319,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_310]) ).
cnf(c_0_320,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_311,c_0_36]) ).
cnf(c_0_321,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_312,c_0_249]) ).
cnf(c_0_322,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_250,c_0_313]) ).
cnf(c_0_323,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_324,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_316,c_0_122]) ).
cnf(c_0_325,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_326,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_327,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_320]) ).
cnf(c_0_328,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_329,negated_conjecture,
( ssPv1(X1)
| ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_323,c_0_61]) ).
cnf(c_0_330,negated_conjecture,
( ssPv4(X1)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv4(X4) ),
clause28 ).
cnf(c_0_331,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_324,c_0_130]) ).
cnf(c_0_332,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_325,c_0_61]) ).
cnf(c_0_333,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_326,c_0_61]) ).
cnf(c_0_334,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_219]) ).
cnf(c_0_335,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_223,c_0_61]) ).
cnf(c_0_336,negated_conjecture,
( ssPv1(X1)
| ssPv2(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_327,c_0_61]) ).
cnf(c_0_337,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_338,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ssPv4(X2)
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_330,c_0_33]) ).
cnf(c_0_339,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_331,c_0_139]) ).
cnf(c_0_340,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_341,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_334,c_0_212]) ).
cnf(c_0_342,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_343,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv4(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_337,c_0_285]) ).
cnf(c_0_344,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_254,c_0_234]) ).
cnf(c_0_345,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ssPv4(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_338,c_0_44]) ).
cnf(c_0_346,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_339,c_0_283]) ).
cnf(c_0_347,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_337,c_0_340]) ).
cnf(c_0_348,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_341,c_0_317]) ).
cnf(c_0_349,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_187]) ).
cnf(c_0_350,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_351,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_344,c_0_212]) ).
cnf(c_0_352,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_345,c_0_33]) ).
cnf(c_0_353,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_346]) ).
cnf(c_0_354,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_342,c_0_347]) ).
cnf(c_0_355,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_348,c_0_44]) ).
cnf(c_0_356,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_357,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf2(skf3(X1)))
| ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_44]) ).
cnf(c_0_358,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_351,c_0_212]) ).
cnf(c_0_359,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_352]) ).
cnf(c_0_360,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_361,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_355,c_0_168]) ).
cnf(c_0_362,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_356,c_0_212]) ).
cnf(c_0_363,negated_conjecture,
( ssPv4(skf2(skf3(X1)))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_135,c_0_33]) ).
cnf(c_0_364,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_357]) ).
cnf(c_0_365,negated_conjecture,
( ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_366,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_237,c_0_44]) ).
cnf(c_0_367,negated_conjecture,
( ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_360,c_0_212]) ).
cnf(c_0_368,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_361,c_0_317]) ).
cnf(c_0_369,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_370,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_171]) ).
cnf(c_0_371,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_372,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_367,c_0_366]) ).
cnf(c_0_373,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_368,c_0_33]) ).
cnf(c_0_374,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf3(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_369,c_0_278]) ).
cnf(c_0_375,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf3(skf2(X1)))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_286,c_0_370]) ).
cnf(c_0_376,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_377,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4) ),
clause32 ).
cnf(c_0_378,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_373,c_0_278]) ).
cnf(c_0_379,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_380,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_376,c_0_308]) ).
cnf(c_0_381,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_184]) ).
cnf(c_0_382,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_377,c_0_33]) ).
cnf(c_0_383,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_384,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_367,c_0_380]) ).
cnf(c_0_385,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_367,c_0_381]) ).
cnf(c_0_386,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_382,c_0_44]) ).
cnf(c_0_387,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_388,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_385,c_0_354]) ).
cnf(c_0_389,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_390,negated_conjecture,
( ~ ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_369,c_0_388]) ).
cnf(c_0_391,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_389,c_0_33]) ).
cnf(c_0_392,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_390,c_0_212]) ).
cnf(c_0_393,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_391,c_0_287]) ).
cnf(c_0_394,negated_conjecture,
( ssPv3(X1)
| ssPv4(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_395,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X3,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_137,c_0_33]) ).
cnf(c_0_396,negated_conjecture,
( ssPv3(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_394,c_0_384]) ).
cnf(c_0_397,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_395,c_0_33]) ).
cnf(c_0_398,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_376,c_0_396]) ).
cnf(c_0_399,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf3(skf3(X1)))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_33]) ).
cnf(c_0_400,negated_conjecture,
ssPv2(X1),
inference(spm,[status(thm)],[c_0_367,c_0_398]) ).
cnf(c_0_401,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_392,c_0_88]) ).
cnf(c_0_402,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_400]),c_0_400])]) ).
cnf(c_0_403,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_400])]) ).
cnf(c_0_404,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_405,negated_conjecture,
~ ssPv4(skf3(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_400])]) ).
cnf(c_0_406,negated_conjecture,
~ ssPv1(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_396]),c_0_405]) ).
cnf(c_0_407,negated_conjecture,
~ ssPv3(X1),
inference(spm,[status(thm)],[c_0_406,c_0_403]) ).
cnf(c_0_408,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_387,c_0_407]),c_0_407]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN784-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:45:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.72/1.85 % Version : CSE_E---1.7
% 1.72/1.85 % Problem : theBenchmark.p
% 1.72/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.85 % SZS output start CNFRefutation
% See solution above
% 1.72/1.86 % Total time : 1.371s
%------------------------------------------------------------------------------