%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:41:32 PM UTC 2026
% Result : Unsatisfiable 2.99s 1.29s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 45
% Syntax : Number of formulae : 324 ( 10 unt; 0 def)
% Number of atoms : 1592 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 2273 (1005 ~;1268 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 730 ( 0 sgn 730 !; 0 ?; 594 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ssRr(X0,skf1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ssPv4(X0)
| ssPv1(X2)
| ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X2,X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ssPv4(X0)
| ssPv2(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ssPv2(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ssPv4(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ssPv2(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( ssPv1(X0)
| ssPv2(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ssPv1(X0)
| ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ssPv1(X0)
| ssPv4(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
! [X2,X0,X1] :
( ssPv1(X0)
| ssPv4(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
! [X2,X0,X1] :
( ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
! [X2,X0,X1] :
( ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
! [X2,X0,X1] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X0)
| ssPv1(X3)
| ssPv3(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X0)
| ssPv1(X3)
| ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv2(X0)
| ssPv2(X3)
| ssPv3(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv2(X0)
| ssPv1(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv2(X3)
| ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv3(X3)
| ssPv4(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X3)
| ~ ssPv1(X0)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( ssPv4(X3)
| ~ ssPv3(X0)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssPv3(X0)
| ~ ssPv1(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
tcf(c_100,negated_conjecture,
! [X0: $i] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv4(X0)
| ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X1)
| ssPv3(X0)
| ssPv2(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_110,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv1(X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_129,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_131,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv1(X3)
| ~ ssPv2(X1)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ssPv1(X3)
| ~ ssPv2(X1)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv2(X3)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv2(X0)
| ssPv1(X3)
| ~ ssPv4(X1)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_141,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv2(X3)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_142,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X2)
| ssPv3(X3)
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X3)
| ~ ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_149,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv4(X3)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_150,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_113,c_102,c_113,c_117]) ).
tcf(c_170,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_169]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_119,c_119,c_170]) ).
tcf(c_172,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_171]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_117,c_170]) ).
tcf(c_174,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_173]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_135,c_104,c_123,c_135,c_132]) ).
tcf(c_176,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_175]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_131,c_129,c_172]) ).
tcf(c_178,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_177]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_129,c_178]) ).
tcf(c_180,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_179]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_138,c_172]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_181]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_127,c_176]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_126,c_176]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111,c_123]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_1313,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1311]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(X2)
| ssPv2(X3)
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1321]) ).
tcf(c_1349,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X1))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1345]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_1367,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1355]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_1373,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1384,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1313]) ).
tcf(c_1387,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_1388,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_1389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv1(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_1391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ssPv1(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_1392,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_1398,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(X1))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1367]) ).
tcf(c_1409,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1373]) ).
tcf(c_1416,plain,
! [X0: $i] : ssRr(skf1(X0),skf1(skf1(X0))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_1420,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1387]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1389]) ).
tcf(c_1435,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1394]) ).
tcf(c_1439,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1398]) ).
tcf(c_1474,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1424]) ).
tcf(c_1477,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1474]) ).
tcf(c_1480,plain,
! [X0: $i,X1: $i] :
( ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_1503,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(X1))
| ~ ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1349]) ).
tcf(c_1506,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1435]) ).
tcf(c_1508,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1384]) ).
tcf(c_1515,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1480]) ).
tcf(c_1524,plain,
! [X0: $i] : ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))),
inference(instantiation,[status(thm)],[c_1416]) ).
tcf(c_1537,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1503]) ).
tcf(c_1582,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_101]) ).
tcf(c_1584,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_102]) ).
tcf(c_1586,negated_conjecture,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_100,c_1392,c_1435,c_1474,c_1584]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_182]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_363]) ).
tcf(c_1622,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_106]) ).
tcf(c_1630,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X1)
| ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_107]) ).
tcf(c_1637,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv1(X1)
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_108]) ).
tcf(c_1638,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv3(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_176]) ).
tcf(c_1696,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1409]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_180]) ).
tcf(c_1703,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_110,c_100,c_1371,c_1586,c_1618]) ).
tcf(c_1704,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_1703]) ).
tcf(c_1705,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv1(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_1704]) ).
tcf(c_1707,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv1(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_112]) ).
tcf(c_1709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_114,c_100,c_107,c_134,c_275,c_1387,c_1616,c_1618,c_1638]) ).
tcf(c_1710,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_1709]) ).
tcf(c_1711,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_1710]) ).
tcf(c_1713,plain,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_115]) ).
tcf(c_1714,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_116]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_1720,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_118]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_120,c_100,c_107,c_120,c_134,c_275,c_1387,c_1616,c_1618,c_1638]) ).
tcf(c_1731,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_1730]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv2(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_1731]) ).
tcf(c_1734,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_1736,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_1831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_121,c_100,c_121,c_172,c_176,c_1311,c_1582,c_1736]) ).
tcf(c_1832,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_1831]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_1832]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(X1)
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_122]) ).
tcf(c_1856,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_1857,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_1858,plain,
! [X0: $i] :
( ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1856]) ).
tcf(c_1860,plain,
! [X0: $i] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1857]) ).
tcf(c_1864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_1865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv2(X2)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv1(X2)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_1871,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ssPv3(skf1(X1))
| ~ ssPv4(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X1))
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_1919,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1867]) ).
tcf(c_1921,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1870]) ).
tcf(c_1927,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1919]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X2)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_1888]) ).
tcf(c_1931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_1936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_1949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X2))
| ~ ssPv4(X3)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,skf1(X2))
| ~ ssRr(X0,skf1(X1)) ),
inference(instantiation,[status(thm)],[c_1885]) ).
tcf(c_1959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X2)
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_1865]) ).
tcf(c_1960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X0))
| ~ ssPv3(X2)
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(skf1(X0),X2)
| ~ ssRr(skf1(X0),skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_1864]) ).
tcf(c_1962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_1984,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(X1))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1928]) ).
tcf(c_1987,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1931]) ).
tcf(c_1989,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(X1)
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1936]) ).
tcf(c_1997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X2))
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,skf1(X2))
| ~ ssRr(X0,skf1(X1))
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1949]) ).
tcf(c_2055,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1959]) ).
tcf(c_2057,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X1)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1960]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,skf1(skf1(X1))) ),
inference(instantiation,[status(thm)],[c_1962]) ).
tcf(c_2067,plain,
! [X0: $i] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1984]) ).
tcf(c_2070,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1987]) ).
tcf(c_2074,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1989]) ).
tcf(c_2083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(X2))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(X2))
| ~ ssRr(skf1(skf1(X0)),skf1(X1))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1997]) ).
tcf(c_2106,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(X1)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2057]) ).
tcf(c_2108,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2059]) ).
tcf(c_2181,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X1))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(X1))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2083]) ).
tcf(c_2203,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2106]) ).
tcf(c_2284,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2181]) ).
tcf(c_2288,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_1927]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv1(skf1(X1))
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_1871]) ).
tcf(c_2294,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv1(skf1(X1))
| ~ ssRr(skf1(X0),skf1(X1)) ),
inference(instantiation,[status(thm)],[c_1869]) ).
tcf(c_2320,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X1)))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(X1)))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2055]) ).
tcf(c_2341,plain,
! [X0: $i] :
( ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(X0))))
| ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2067]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_2471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssPv2(X2)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),X1)
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1865]) ).
tcf(c_2492,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ssPv2(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2284]) ).
tcf(c_2493,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2203]) ).
tcf(c_2498,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_1618]) ).
tcf(c_2506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_125,c_100,c_106,c_125,c_122,c_130,c_1396,c_1515,c_1720]) ).
tcf(c_2507,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2506]) ).
tcf(c_2508,plain,
! [X0: $i,X1: $i] :
( ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2507]) ).
tcf(c_2512,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2293]) ).
tcf(c_2513,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2294]) ).
tcf(c_2517,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_128,c_100,c_101,c_104,c_1384,c_1409,c_1416,c_1485,c_1537,c_1582,c_1630,c_1638,c_2067,c_2108]) ).
tcf(c_2520,plain,
! [X0: $i] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_2517]) ).
tcf(c_2539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2) ),
inference(global_subsumption_just,[status(thm)],[c_132,c_123,c_132,c_1586]) ).
tcf(c_2540,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2539]) ).
tcf(c_2541,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2540]) ).
tcf(c_2547,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv2(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2320]) ).
tcf(c_2549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_133,c_110,c_133,c_170,c_1384,c_1409,c_1416,c_1537,c_1586,c_1616,c_1637,c_1705,c_1707,c_2067,c_2108,c_2517,c_2540]) ).
tcf(c_2550,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2549]) ).
tcf(c_2551,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2550]) ).
tcf(c_2553,plain,
! [X0: $i] : ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_137,c_100,c_124,c_118,c_1388,c_1391,c_1705,c_2508,c_2551]) ).
tcf(c_2607,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X0)
| ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2606]) ).
tcf(c_2608,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv2(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2607]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_139,c_100,c_110,c_122,c_133,c_170,c_1384,c_1409,c_1416,c_1537,c_1586,c_1616,c_1630,c_1637,c_1649,c_1705,c_1707,c_1731,c_1834,c_1851,c_2067,c_2108,c_2517,c_2540,c_2608]) ).
tcf(c_2620,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X2)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2619]) ).
tcf(c_2621,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv2(X0)
| ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_2620]) ).
tcf(c_2698,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2431]) ).
tcf(c_2700,plain,
! [X0: $i] :
( ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2437]) ).
tcf(c_2701,plain,
! [X0: $i,X1: $i] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2438]) ).
tcf(c_2711,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1711,c_100,c_1313,c_1420,c_1582,c_1860,c_2520]) ).
tcf(c_2748,plain,
! [X0: $i] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_1860]) ).
tcf(c_2774,negated_conjecture,
! [X0: $i] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_100,c_1313,c_1582,c_2520]) ).
tcf(c_2777,negated_conjecture,
! [X0: $i] :
( ssPv3(X0)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2774,c_100,c_1416,c_1435,c_1477,c_1506,c_1858,c_1921,c_2513,c_2520,c_2774]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,skf1(X0)) ),
inference(instantiation,[status(thm)],[c_2471]) ).
tcf(c_2792,negated_conjecture,
! [X0: $i] :
( ssPv4(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_102,c_100,c_1384,c_1409,c_1416,c_1474,c_1537,c_1586,c_1705,c_2067,c_2108,c_2498,c_2700,c_2777]) ).
tcf(c_2805,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_105,c_100,c_105,c_1384,c_1409,c_1416,c_1435,c_1477,c_1508,c_1506,c_1515,c_1524,c_1622,c_1696,c_1700,c_1858,c_1921,c_2067,c_2108,c_2203,c_2284,c_2513,c_2520,c_2547,c_2774]) ).
tcf(c_2834,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_174,c_100]) ).
tcf(c_2845,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_182,c_100]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_100,c_106,c_1396,c_2551,c_2701,c_2777,c_2805]) ).
tcf(c_2847,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2846]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_107,c_100]) ).
tcf(c_2945,plain,
! [X0: $i,X1: $i] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_180,c_100]) ).
tcf(c_2959,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(skf1(X0),skf1(skf1(X0))) ),
inference(instantiation,[status(thm)],[c_2477]) ).
tcf(c_2968,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_105,c_2805]) ).
tcf(c_2970,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0) ),
inference(superposition,[status(thm)],[c_100,c_2968]) ).
tcf(c_2977,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_100,c_106,c_1396,c_2551,c_2701,c_2777,c_2805]) ).
tcf(c_2978,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2977]) ).
tcf(c_2979,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_2978]) ).
tcf(c_2996,plain,
! [X0: $i,X1: $i] :
( ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_114,c_100,c_1384,c_1409,c_1416,c_1435,c_1477,c_1508,c_1506,c_1524,c_1696,c_1713,c_1858,c_1860,c_1921,c_2108,c_2203,c_2284,c_2513,c_2520,c_2547,c_2711,c_2774,c_2845,c_2959]) ).
tcf(c_2997,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_2996]) ).
tcf(c_2999,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_100,c_2997]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_118,c_2792,c_2847]) ).
tcf(c_3005,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_3004]) ).
tcf(c_3007,plain,
! [X0: $i] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_3005]) ).
tcf(c_3075,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv4(skf1(skf1(skf1(skf1(X0)))))
| ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2288]) ).
tcf(c_3133,plain,
! [X0: $i] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_1834]) ).
tcf(c_3183,plain,
! [X0: $i,X1: $i] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_116,c_100]) ).
tcf(c_3190,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_100,c_1858,c_2970,c_2999]) ).
tcf(c_3191,negated_conjecture,
! [X0: $i] :
( ssPv1(X0)
| ~ ssPv4(X0) ),
inference(renaming,[status(thm)],[c_3190]) ).
tcf(c_3202,plain,
! [X0: $i,X1: $i] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_130,c_100,c_1480,c_2979]) ).
tcf(c_3203,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_3202]) ).
tcf(c_3204,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_100,c_3203]) ).
tcf(c_3206,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_118,c_3005]) ).
tcf(c_3207,negated_conjecture,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_3206]) ).
tcf(c_3229,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_3191]) ).
tcf(c_3230,negated_conjecture,
! [X0: $i] :
( ssPv1(X0)
| ~ ssPv4(X0) ),
inference(renaming,[status(thm)],[c_3229]) ).
tcf(c_3430,plain,
! [X0: $i] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(skf1(X0)))))
| ~ ssRr(skf1(skf1(skf1(X0))),skf1(skf1(skf1(skf1(X0))))) ),
inference(instantiation,[status(thm)],[c_2512]) ).
tcf(c_3575,plain,
! [X0: $i] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(skf1(X0))))
| ~ ssRr(skf1(skf1(X0)),skf1(skf1(skf1(X0)))) ),
inference(instantiation,[status(thm)],[c_2108]) ).
tcf(c_3595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv3(X2)
| ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_141,c_100]) ).
tcf(c_3606,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1622,c_1416,c_1439,c_1508,c_1524,c_1696,c_2067,c_2341,c_2493,c_2492,c_2547,c_2553,c_2748,c_2970,c_2979,c_3075,c_3204,c_3430,c_3575]) ).
tcf(c_3726,plain,
! [X0: $i,X1: $i] :
( ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1651,c_100,c_1734,c_2999]) ).
tcf(c_3906,negated_conjecture,
! [X0: $i] :
( ssPv3(X0)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3207,c_2792,c_3606]) ).
tcf(c_3916,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2880,c_3906]) ).
tcf(c_3921,negated_conjecture,
! [X0: $i] :
( ~ ssPv4(X0)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2847,c_1416,c_1439,c_1508,c_1524,c_1696,c_2067,c_2341,c_2493,c_2492,c_2547,c_2553,c_2748,c_2970,c_2979,c_3075,c_3204,c_3430,c_3575]) ).
tcf(c_3931,plain,
! [X0: $i,X1: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3183,c_3921]) ).
tcf(c_3934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_108,c_108,c_1384,c_1409,c_1416,c_1508,c_1524,c_1696,c_1732,c_1851,c_2108,c_2203,c_2284,c_2507,c_2547,c_2959,c_3133,c_3606]) ).
tcf(c_3935,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssPv4(X1)
| ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_3934]) ).
tcf(c_3956,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_3935,c_100]) ).
tcf(c_3996,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ~ ssRr(X0,X1)
| ssPv1(skf1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3916,c_100,c_1384,c_1409,c_1416,c_1424,c_1474,c_1508,c_1524,c_1696,c_1714,c_1860,c_2070,c_2074,c_2284,c_2547,c_2997,c_3191,c_3575,c_3916,c_3956]) ).
tcf(c_3997,plain,
! [X0: $i,X1: $i] :
( ssPv4(X1)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_3996]) ).
tcf(c_4042,plain,
! [X0: $i] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[c_3997,c_100]) ).
tcf(c_4046,plain,
! [X0: $i] : ssPv1(skf1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_4042,c_3230]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2834,c_100,c_1388,c_1834,c_2541,c_2834,c_3007,c_3726,c_4046]) ).
tcf(c_4054,plain,
! [X0: $i,X1: $i] :
( ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_4053]) ).
tcf(c_4082,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2845,c_100,c_1388,c_1715,c_1834,c_2541,c_2621,c_2698,c_2784,c_2834,c_3007,c_3726,c_4046]) ).
tcf(c_4083,plain,
! [X0: $i,X1: $i] :
( ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_4082]) ).
tcf(c_4096,plain,
! [X0: $i] :
( ssPv2(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[c_4083,c_100]) ).
tcf(c_4103,plain,
! [X0: $i] :
( ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[c_4096,c_3906]) ).
tcf(c_4120,plain,
! [X0: $i,X1: $i] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_3931,c_100,c_2784,c_3906,c_3931,c_4046]) ).
tcf(c_4121,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_4120]) ).
tcf(c_4154,plain,
! [X0: $i] :
( ~ ssPv2(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[c_4121,c_100]) ).
tcf(c_4160,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_4154,c_2792]) ).
tcf(c_4170,plain,
! [X0: $i,X1: $i] :
( ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2945,c_100,c_2698,c_4046,c_4054,c_4083,c_4154]) ).
tcf(c_4182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssPv2(X3)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_141,c_4170]) ).
tcf(c_4183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3595,c_4170]) ).
tcf(c_4188,plain,
! [X0: $i] : ~ ssPv3(skf1(X0)),
inference(resolution,[status(thm)],[c_4170,c_100]) ).
tcf(c_4237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssPv4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_4182,c_4103,c_4160,c_4183,c_4188]) ).
tcf(c_4238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(renaming,[status(thm)],[c_4237]) ).
tcf(c_4256,plain,
! [X0: $i,X1: $i] :
( ~ ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c_4238,c_100]) ).
tcf(c_4263,plain,
! [X0: $i] :
( ~ ssPv4(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[c_4256,c_100]) ).
tcf(c_4269,plain,
! [X0: $i] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c_4263,c_2792]) ).
tcf(c_4271,plain,
! [X0: $i] : ~ ssPv4(X0),
inference(global_subsumption_just,[status(thm)],[c_4269,c_4188,c_4269]) ).
tcf(c_4278,plain,
! [X0: $i] : ssPv3(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_2792,c_4271]) ).
tcf(c_4283,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4188,c_4278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 02:17:55 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 2.99/1.29 % SZS status Started for theBenchmark.p
% 2.99/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/1.29
% 2.99/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.99/1.29
% 2.99/1.29 % ------ iProver source info
% 2.99/1.29
% 2.99/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.99/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.99/1.29 % git: non_committed_changes: false
% 2.99/1.29
% 2.99/1.29 % ------ Parsing...% successful
% 2.99/1.29
% 2.99/1.29
% 2.99/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.99/1.29
% 2.99/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.99/1.29
% 2.99/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.99/1.29 % ------ Proving...
% 2.99/1.29 % ------ Problem Properties
% 2.99/1.29
% 2.99/1.29 %
% 2.99/1.29 % clauses 47
% 2.99/1.29 % conjectures 44
% 2.99/1.29 % EPR 46
% 2.99/1.29 % Horn 17
% 2.99/1.29 % unary 1
% 2.99/1.29 % binary 0
% 2.99/1.29 % lits 278
% 2.99/1.29 % lits eq 0
% 2.99/1.29 % fd_pure 0
% 2.99/1.29 % fd_pseudo 0
% 2.99/1.29 % fd_cond 0
% 2.99/1.29 % fd_pseudo_cond 0
% 2.99/1.29 % AC symbols 0
% 2.99/1.29
% 2.99/1.29 % ------ Input Options Time Limit: Unbounded
% 2.99/1.29
% 2.99/1.29
% 2.99/1.29 % ------
% 2.99/1.29 % Current options:
% 2.99/1.29 % ------
% 2.99/1.29
% 2.99/1.29
% 2.99/1.29 %
% 2.99/1.29
% 2.99/1.29 % ------ Proving...
% 2.99/1.29 %
% 2.99/1.29
% 2.99/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/1.29
% 2.99/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.30
% 3.58/1.30
%------------------------------------------------------------------------------