%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 02:05:37 PM UTC 2026
% Result : Unsatisfiable 7.74s 2.28s
% Output : CNFRefutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of formulae : 98 ( 55 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 50 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 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; 2 con; 0-2 aty)
% Number of variables : 341 ( 0 sgn 341 !; 0 ?; 334 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf_transformation,[],[f2]) ).
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_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_53,c_107]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_53,c_111]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_137,c_54]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_143,c_54]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_156]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_162]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_218,c_54]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_225,c_54]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_53,c_227]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_53,c_233]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_225,c_233]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_311,c_54]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_320,c_54]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_53,c_457]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_53,c_464]) ).
tcf(c_516,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_501,c_54]) ).
tcf(c_522,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_511,c_54]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X1,implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_516,c_227]) ).
tcf(c_624,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_522,c_54]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_322,c_54]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(X4,implies(X1,implies(X2,X3)))))),
inference(superposition,[status(thm)],[c_218,c_611]) ).
tcf(c_1191,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_53,c_701]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1191,c_111]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1213,c_54]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X4,implies(X1,implies(X2,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1089,c_54]) ).
tcf(c_1502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X0,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_1089,c_1494]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_1520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_53,c_1513]) ).
tcf(c_1528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1520,c_54]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_1528]) ).
tcf(c_1541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_1536,c_54]) ).
tcf(c_1549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_53,c_1541]) ).
tcf(c_1551,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_1536,c_1541]) ).
tcf(c_1553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X1),implies(X3,X1))))),
inference(superposition,[status(thm)],[c_1502,c_1541]) ).
tcf(c_1555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1549,c_54]) ).
tcf(c_1574,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1551,c_54]) ).
tcf(c_1586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1553,c_54]) ).
tcf(c_1606,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1553,c_1555]) ).
tcf(c_1607,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_1606,c_54]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3)))),
inference(superposition,[status(thm)],[c_1606,c_1513]) ).
tcf(c_1615,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_1607,c_54]) ).
tcf(c_1633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(X5,implies(X1,X3))))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_1536,c_1615]) ).
tcf(c_1677,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_1553,c_1574]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1677,c_1513]) ).
tcf(c_1784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1608,c_54]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_1213,c_1484]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X1,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_1807,c_624]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1807,c_233]) ).
tcf(c_1933,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),implies(X2,X0)))),
inference(superposition,[status(thm)],[c_1553,c_1586]) ).
tcf(c_2054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X2,X3),X1),X2))),
inference(superposition,[status(thm)],[c_1553,c_1784]) ).
tcf(c_2057,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1735,c_54]) ).
tcf(c_2823,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1813,c_54]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(superposition,[status(thm)],[c_1813,c_111]) ).
tcf(c_2981,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_1813,c_2823]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_2981,c_111]) ).
tcf(c_3259,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1933,c_54]) ).
tcf(c_3342,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_3259,c_54]) ).
tcf(c_3593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2824,c_54]) ).
tcf(c_3687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2987,c_54]) ).
tcf(c_3932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_1813,c_1810]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_3932,c_1810]) ).
tcf(c_4318,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_1933,c_2057]) ).
tcf(c_4479,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_4318,c_54]) ).
tcf(c_4481,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_4318,c_1541]) ).
tcf(c_4817,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_4160,c_3593]) ).
tcf(c_4856,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_4160,c_3687]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_4856,c_54]) ).
tcf(c_5213,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(X0,X0))),
inference(superposition,[status(thm)],[c_4318,c_4479]) ).
tcf(c_5214,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3259,c_4479]) ).
tcf(c_5608,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,implies(X0,X0)))
| ~ is_a_theorem(implies(X0,X0)) ),
inference(superposition,[status(thm)],[c_5213,c_3342]) ).
tcf(c_5610,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,implies(X0,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_5213,c_1615]) ).
tcf(c_5645,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_4817,c_4920]) ).
tcf(c_5724,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_5645,c_54]) ).
tcf(c_5790,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_4160,c_5724]) ).
tcf(c_6135,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(global_subsumption_just,[status(thm)],[c_5214,c_2981]) ).
tcf(c_6141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_6135,c_1513]) ).
tcf(c_6256,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X1,implies(X0,X0))),
inference(global_subsumption_just,[status(thm)],[c_5610,c_5608,c_5790]) ).
tcf(c_6257,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(renaming,[status(thm)],[c_6256]) ).
tcf(c_6466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_4481,c_1633]) ).
tcf(c_6469,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_6257,c_1633]) ).
tcf(c_8311,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_6469,c_1633]) ).
tcf(c_8367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_6466,c_1633]) ).
tcf(c_8498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),
inference(superposition,[status(thm)],[c_8311,c_1633]) ).
tcf(c_9583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6141,c_54]) ).
tcf(c_10129,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_8367,c_9583]) ).
tcf(c_10471,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_10129,c_54]) ).
tcf(c_14402,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_2054,c_10471]) ).
tcf(c_15086,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_14402,c_54]) ).
tcf(c_15686,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_8498,c_15086]) ).
tcf(c_15692,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_15686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 21:52:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 7.74/2.28 % SZS status Started for theBenchmark.p
% 7.74/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 7.74/2.28
% 7.74/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.74/2.28
% 7.74/2.28 % ------ iProver source info
% 7.74/2.28
% 7.74/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 7.74/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.74/2.28 % git: non_committed_changes: false
% 7.74/2.28
% 7.74/2.28 % ------ Parsing...% successful
% 7.74/2.28
% 7.74/2.28
% 7.74/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.74/2.28
% 7.74/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.74/2.28
% 7.74/2.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.74/2.28 % ------ Proving...
% 7.74/2.28 % ------ Problem Properties
% 7.74/2.28
% 7.74/2.28 %
% 7.74/2.28 % clauses 3
% 7.74/2.28 % conjectures 1
% 7.74/2.28 % EPR 0
% 7.74/2.28 % Horn 3
% 7.74/2.28 % unary 2
% 7.74/2.28 % binary 0
% 7.74/2.28 % lits 5
% 7.74/2.28 % lits eq 0
% 7.74/2.28 % fd_pure 0
% 7.74/2.28 % fd_pseudo 0
% 7.74/2.28 % fd_cond 0
% 7.74/2.28 % fd_pseudo_cond 0
% 7.74/2.28 % AC symbols 0
% 7.74/2.28
% 7.74/2.28 % ------ Schedule dynamic 5 is on
% 7.74/2.28
% 7.74/2.28 % ------ no equalities: superposition off
% 7.74/2.28
% 7.74/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.74/2.28
% 7.74/2.28
% 7.74/2.28 % ------
% 7.74/2.28 % Current options:
% 7.74/2.28 % ------
% 7.74/2.28
% 7.74/2.28
% 7.74/2.28 %
% 7.74/2.28
% 7.74/2.28 % ------ Proving...
% 7.74/2.28 %
% 7.74/2.28
% 7.74/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 7.74/2.28
% 7.74/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.74/2.28
% 7.74/2.28
%------------------------------------------------------------------------------