%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 02:05:31 PM UTC 2026
% Result : Unsatisfiable 67.55s 27.92s
% Output : CNFRefutation 67.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 103 ( 47 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 141 ( 72 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 298 ( 0 sgn 298 !; 0 ?; 290 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_37) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_54]) ).
tcf(c_116,plain,
~ is_a_theorem(implies(not(a),implies(a,b))),
inference(superposition,[status(thm)],[c_111,c_58]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_55,c_115]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_115]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_162,c_54]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_163]) ).
tcf(c_230,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_163]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_57,c_163]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_141,c_163]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_115]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_229,c_54]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(not(X0),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_459,c_371]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_506,c_115]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_55,c_161]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(not(X0),X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_506,c_161]) ).
tcf(c_16642,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(not(X0),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_759,c_371]) ).
tcf(c_16731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_749,c_54]) ).
tcf(c_16864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_16731,c_161]) ).
tcf(c_16872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X3),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_16864,c_54]) ).
tcf(c_16951,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_56,c_16872]) ).
tcf(c_16952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_57,c_16872]) ).
tcf(c_17001,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_231,c_16951]) ).
tcf(c_17006,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16642,c_16951]) ).
tcf(c_17045,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_17001,c_161]) ).
tcf(c_17055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_17006,c_161]) ).
tcf(c_17095,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_17045,c_371]) ).
tcf(c_17185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_16952,c_54]) ).
tcf(c_17282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(not(implies(not(X1),X2)),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_57,c_17185]) ).
tcf(c_17287,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_230,c_17185]) ).
tcf(c_17318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(not(X1),X2)),X3))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_17282,c_54]) ).
tcf(c_17576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_17055,c_54]) ).
tcf(c_17603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(not(X2),X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_17287,c_371]) ).
tcf(c_18195,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(implies(not(X0),X1)),X2))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_17318]) ).
tcf(c_18419,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_56,c_17576]) ).
tcf(c_18489,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_57,c_18419]) ).
tcf(c_18524,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_17095,c_18419]) ).
tcf(c_18548,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_18489,c_115]) ).
tcf(c_18558,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_18489,c_17603]) ).
tcf(c_18741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(not(implies(X0,implies(not(X0),X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_18524,c_18195]) ).
tcf(c_18843,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_18558,c_18419]) ).
tcf(c_18872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),
inference(superposition,[status(thm)],[c_18843,c_17603]) ).
tcf(c_21159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,X2)),X3)))),
inference(superposition,[status(thm)],[c_17095,c_18548]) ).
tcf(c_21448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_18872,c_18419]) ).
tcf(c_21481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,implies(X3,X3)))),X4))),
inference(superposition,[status(thm)],[c_21448,c_17603]) ).
tcf(c_23652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(not(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3)),X4)),
inference(superposition,[status(thm)],[c_21159,c_18195]) ).
tcf(c_82872,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_82875,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_82921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X0,X3)))
| ~ is_a_theorem(implies(X0,not(implies(not(X1),X2)))) ),
inference(superposition,[status(thm)],[c_232,c_371]) ).
tcf(c_82933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3),X4)) ),
inference(superposition,[status(thm)],[c_23652,c_211]) ).
tcf(c_83159,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(superposition,[status(thm)],[c_18741,c_82872]) ).
tcf(c_83166,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)) ),
inference(superposition,[status(thm)],[c_83159,c_211]) ).
tcf(c_83253,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_55,c_83166]) ).
tcf(c_83267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(not(X0),X3),X1),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_83253,c_115]) ).
tcf(c_83467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,implies(X2,X2)))),X3)),
inference(superposition,[status(thm)],[c_21481,c_82933]) ).
tcf(c_83474,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_83467,c_82872]) ).
tcf(c_83485,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_83474,c_211]) ).
tcf(c_83527,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_55,c_83485]) ).
tcf(c_83554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X3,X3),X1),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_83527,c_115]) ).
tcf(c_83595,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_83527,c_161]) ).
tcf(c_83609,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_83595,c_371]) ).
tcf(c_83637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_83609,c_115]) ).
tcf(c_84488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,X2),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_83267,c_54]) ).
tcf(c_87948,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_56,c_610]) ).
tcf(c_88068,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_87948,c_84488]) ).
tcf(c_88752,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_55,c_88068]) ).
tcf(c_88933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_88752,c_161]) ).
tcf(c_93377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_55,c_83554]) ).
tcf(c_93382,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X2,X2),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_370,c_83554]) ).
tcf(c_93895,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_93382,c_54]) ).
tcf(c_93945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_93377,c_54]) ).
tcf(c_110756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_88933,c_54]) ).
tcf(c_111095,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_56,c_110756]) ).
tcf(c_113572,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(superposition,[status(thm)],[c_83253,c_111095]) ).
tcf(c_113578,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_230,c_111095]) ).
tcf(c_116329,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_113578,c_93945]) ).
tcf(c_116330,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_113578,c_93895]) ).
tcf(c_118185,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(superposition,[status(thm)],[c_113572,c_82933]) ).
tcf(c_118876,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_118185,c_161]) ).
tcf(c_120283,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_82875,c_116330]) ).
tcf(c_123020,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_232,c_120283]) ).
tcf(c_123248,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_118876,c_120283]) ).
tcf(c_143516,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_116329,c_120283]) ).
tcf(c_143561,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_143516,c_161]) ).
tcf(c_144138,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_143561,c_83637]) ).
tcf(c_147150,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_144138,c_115]) ).
tcf(c_149212,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_123248,c_147150]) ).
tcf(c_150675,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_149212,c_123020]) ).
tcf(c_154323,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_150675,c_82921]) ).
tcf(c_154359,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_116,c_154323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.38 % Computer : n018.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Wed Sep 23 21:47:14 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.42 Running first-order theorem proving
% 0.15/10.42 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
% 0.15/10.44
% 0.15/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44
% 0.15/10.44 % Detected problem language: tptp
% 0.15/10.45 % Proving...
% 67.55/27.92 % SZS status Started for theBenchmark.p
% 67.55/27.92 % SZS status Unsatisfiable for theBenchmark.p
% 67.55/27.92
% 67.55/27.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 67.55/27.92
% 67.55/27.92 % ------ iProver source info
% 67.55/27.92
% 67.55/27.92 % git: date: 2026-07-19 20:42:38 +0200
% 67.55/27.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 67.55/27.92 % git: non_committed_changes: false
% 67.55/27.92
% 67.55/27.92 % ------ Parsing...% successful
% 67.55/27.92
% 67.55/27.92
% 67.55/27.92 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 67.55/27.92
% 67.55/27.92 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 67.55/27.92
% 67.55/27.92 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 67.55/27.92 % ------ Proving...
% 67.55/27.92 % ------ Problem Properties
% 67.55/27.92
% 67.55/27.92 %
% 67.55/27.92 % clauses 5
% 67.55/27.92 % conjectures 1
% 67.55/27.92 % EPR 0
% 67.55/27.92 % Horn 5
% 67.55/27.92 % unary 4
% 67.55/27.92 % binary 0
% 67.55/27.92 % lits 7
% 67.55/27.92 % lits eq 0
% 67.55/27.92 % fd_pure 0
% 67.55/27.92 % fd_pseudo 0
% 67.55/27.92 % fd_cond 0
% 67.55/27.92 % fd_pseudo_cond 0
% 67.55/27.92 % AC symbols 0
% 67.55/27.92
% 67.55/27.92 % ------ Input Options Time Limit: Unbounded
% 67.55/27.92
% 67.55/27.92
% 67.55/27.92 % ------
% 67.55/27.92 % Current options:
% 67.55/27.92 % ------
% 67.55/27.92
% 67.55/27.92
% 67.55/27.92 %
% 67.55/27.92
% 67.55/27.92 % ------ Proving...
% 67.55/27.92 %
% 67.55/27.92
% 67.55/27.92 % SZS status Unsatisfiable for theBenchmark.p
% 67.55/27.92
% 67.55/27.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.55/27.93
% 67.55/27.93
%------------------------------------------------------------------------------