%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 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 02:06:12 PM UTC 2026
% Result : Unsatisfiable 82.56s 18.44s
% Output : CNFRefutation 82.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 5
% Syntax : Number of formulae : 107 ( 48 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 150 ( 76 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 300 ( 0 sgn 300 !; 0 ?; 292 :)
% 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(not(not(implies(p,p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_not_not_implies) ).
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(not(not(implies(p,p)))),
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_119,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_120,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_121,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_199,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_202,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_120,c_54]) ).
tcf(c_205,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_121]) ).
tcf(c_207,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_121]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(implies(not(X0),X1)),X2))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_207,c_54]) ).
tcf(c_243,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_119]) ).
tcf(c_303,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_199,c_54]) ).
tcf(c_304,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_199,c_121]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_228,c_202]) ).
tcf(c_393,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_304,c_121]) ).
tcf(c_464,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_205,c_54]) ).
tcf(c_510,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_464,c_121]) ).
tcf(c_568,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_510,c_303]) ).
tcf(c_879,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_243,c_54]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_243,c_325]) ).
tcf(c_6829,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_6862,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_121]) ).
tcf(c_6929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(not(X4),X1),X2),X3))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_881,c_303]) ).
tcf(c_6935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(not(implies(implies(X3,X1),X2)),X4)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_57,c_6929]) ).
tcf(c_7214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(not(implies(implies(X3,X1),X2)),X4))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_6935,c_54]) ).
tcf(c_7346,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(implies(implies(X1,X0),X0)),X2))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_56,c_7214]) ).
tcf(c_7381,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7346,c_6829]) ).
tcf(c_7410,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7381,c_121]) ).
tcf(c_7421,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_7410,c_303]) ).
tcf(c_7447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_199,c_7421]) ).
tcf(c_7659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_7447]) ).
tcf(c_7736,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_56,c_7659]) ).
tcf(c_7740,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_6862,c_7659]) ).
tcf(c_7797,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7736,c_7659]) ).
tcf(c_7813,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_7797,c_202]) ).
tcf(c_7833,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_7740,c_202]) ).
tcf(c_8242,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_7813]) ).
tcf(c_8319,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_8242,c_119]) ).
tcf(c_8377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_8319,c_7659]) ).
tcf(c_8510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X2),X4)))))),
inference(superposition,[status(thm)],[c_8377,c_7659]) ).
tcf(c_9257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X2)),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_879,c_7833]) ).
tcf(c_10140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_9257,c_54]) ).
tcf(c_10989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_10140]) ).
tcf(c_13217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X0),X2)))),X3)),
inference(superposition,[status(thm)],[c_8319,c_10989]) ).
tcf(c_80301,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_80328,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_13217,c_80301]) ).
tcf(c_80340,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_121]) ).
tcf(c_80354,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_199,c_121]) ).
tcf(c_80361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(X0),X2))),X3)) ),
inference(superposition,[status(thm)],[c_13217,c_202]) ).
tcf(c_80371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,implies(not(X1),X3)))),X4)) ),
inference(superposition,[status(thm)],[c_8510,c_202]) ).
tcf(c_80472,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_80328,c_303]) ).
tcf(c_80544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(superposition,[status(thm)],[c_55,c_80361]) ).
tcf(c_80568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_55,c_80472]) ).
tcf(c_80717,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_56,c_568]) ).
tcf(c_80720,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_120,c_568]) ).
tcf(c_80913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_80544,c_80720]) ).
tcf(c_81782,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_56,c_80913]) ).
tcf(c_81785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_120,c_80913]) ).
tcf(c_81794,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_80717,c_80913]) ).
tcf(c_81866,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_81782,c_202]) ).
tcf(c_81889,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_81794,c_202]) ).
tcf(c_82019,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_81866]) ).
tcf(c_82148,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_81889]) ).
tcf(c_82223,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_82148,c_119]) ).
tcf(c_82754,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_56,c_81785]) ).
tcf(c_82834,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_82754,c_202]) ).
tcf(c_82844,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_82754,c_80913]) ).
tcf(c_82878,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_82844,c_202]) ).
tcf(c_82984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_80568,c_82834]) ).
tcf(c_83206,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_82878]) ).
tcf(c_84235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X2,implies(X0,X3)))),
inference(superposition,[status(thm)],[c_82984,c_119]) ).
tcf(c_90565,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_82223,c_54]) ).
tcf(c_90813,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_90565]) ).
tcf(c_91368,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_82019,c_90813]) ).
tcf(c_91372,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_80340,c_90813]) ).
tcf(c_91437,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),
inference(superposition,[status(thm)],[c_83206,c_90813]) ).
tcf(c_91849,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_91372,c_202]) ).
tcf(c_91901,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(implies(implies(X0,X0),X1),X1),X2)) ),
inference(superposition,[status(thm)],[c_91437,c_202]) ).
tcf(c_93078,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(superposition,[status(thm)],[c_91368,c_80371]) ).
tcf(c_93093,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_93078,c_119]) ).
tcf(c_93617,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_199,c_91849]) ).
tcf(c_94688,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_80354,c_93617]) ).
tcf(c_94833,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X0,X2))),
inference(superposition,[status(thm)],[c_84235,c_93617]) ).
tcf(c_94904,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_93093,c_93617]) ).
tcf(c_95431,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),not(implies(X1,X1))),X0)),
inference(superposition,[status(thm)],[c_94833,c_93617]) ).
tcf(c_95454,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),not(implies(X1,X1)))) ),
inference(superposition,[status(thm)],[c_95431,c_54]) ).
tcf(c_99231,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_879,c_91901]) ).
tcf(c_104001,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_91372,c_99231]) ).
tcf(c_104256,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_104001,c_119]) ).
tcf(c_104352,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_104256,c_80472]) ).
tcf(c_104372,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_104352,c_303]) ).
tcf(c_105057,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_94904,c_104372]) ).
tcf(c_105422,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_105057,c_94688]) ).
tcf(c_106840,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_105422,c_393]) ).
tcf(c_106910,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_106840,c_93617]) ).
tcf(c_106945,plain,
! [X0: $i] : is_a_theorem(not(not(implies(X0,X0)))),
inference(superposition,[status(thm)],[c_106910,c_95454]) ).
tcf(c_106947,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_106945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n018.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 22:40:37 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 82.56/18.44 % SZS status Started for theBenchmark.p
% 82.56/18.44 % SZS status Unsatisfiable for theBenchmark.p
% 82.56/18.44
% 82.56/18.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 82.56/18.44
% 82.56/18.44 % ------ iProver source info
% 82.56/18.44
% 82.56/18.44 % git: date: 2026-07-19 20:42:38 +0200
% 82.56/18.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 82.56/18.44 % git: non_committed_changes: false
% 82.56/18.44
% 82.56/18.44 % ------ Parsing...% successful
% 82.56/18.44
% 82.56/18.44
% 82.56/18.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 82.56/18.44
% 82.56/18.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 82.56/18.44
% 82.56/18.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 82.56/18.44 % ------ Proving...
% 82.56/18.44 % ------ Problem Properties
% 82.56/18.44
% 82.56/18.44 %
% 82.56/18.44 % clauses 5
% 82.56/18.44 % conjectures 1
% 82.56/18.44 % EPR 0
% 82.56/18.44 % Horn 5
% 82.56/18.44 % unary 4
% 82.56/18.44 % binary 0
% 82.56/18.44 % lits 7
% 82.56/18.44 % lits eq 0
% 82.56/18.44 % fd_pure 0
% 82.56/18.44 % fd_pseudo 0
% 82.56/18.44 % fd_cond 0
% 82.56/18.44 % fd_pseudo_cond 0
% 82.56/18.44 % AC symbols 0
% 82.56/18.44
% 82.56/18.44 % ------ Input Options Time Limit: Unbounded
% 82.56/18.44
% 82.56/18.44
% 82.56/18.44 % ------
% 82.56/18.44 % Current options:
% 82.56/18.44 % ------
% 82.56/18.44
% 82.56/18.44
% 82.56/18.44 %
% 82.56/18.44
% 82.56/18.44 % ------ Proving...
% 82.56/18.44 %
% 82.56/18.44
% 82.56/18.44 % SZS status Unsatisfiable for theBenchmark.p
% 82.56/18.44
% 82.56/18.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 82.56/18.44
% 82.56/18.44
%------------------------------------------------------------------------------