%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL093-1 : 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 : n001.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 116.18s 16.48s
% Output : CNFRefutation 116.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 3
% Syntax : Number of formulae : 108 ( 53 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 126 ( 64 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 409 ( 0 sgn 409 !; 0 ?; 402 :)
% 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(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).
tcf(c_52,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_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[c_52,c_53]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(resolution,[status(thm)],[c_78,c_53]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3))) ),
inference(resolution,[status(thm)],[c_84,c_52]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))),
inference(resolution,[status(thm)],[c_84,c_78]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(resolution,[status(thm)],[c_88,c_84]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_98,c_52]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(resolution,[status(thm)],[c_104,c_53]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(resolution,[status(thm)],[c_127,c_78]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(resolution,[status(thm)],[c_141,c_88]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_197,c_52]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(resolution,[status(thm)],[c_225,c_53]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(resolution,[status(thm)],[c_247,c_78]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))),implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))),
inference(resolution,[status(thm)],[c_90,c_78]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( is_a_theorem(implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5)))) ),
inference(resolution,[status(thm)],[c_288,c_52]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))),implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2))))))),
inference(resolution,[status(thm)],[c_288,c_78]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)) ),
inference(resolution,[status(thm)],[c_270,c_52]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
inference(resolution,[status(thm)],[c_412,c_270]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_447,c_52]) ).
tcf(c_539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(resolution,[status(thm)],[c_472,c_53]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X0))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_539,c_52]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X0)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_557,c_52]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_587,c_53]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_634,c_52]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_634,c_78]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_659,c_53]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X0,X2))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_687,c_78]) ).
tcf(c_773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
inference(resolution,[status(thm)],[c_362,c_53]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( is_a_theorem(implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2))))))
| ~ is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2))))) ),
inference(resolution,[status(thm)],[c_365,c_52]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_773,c_52]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))),
inference(resolution,[status(thm)],[c_809,c_53]) ).
tcf(c_1189,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(resolution,[status(thm)],[c_718,c_52]) ).
tcf(c_1673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))),
inference(resolution,[status(thm)],[c_843,c_53]) ).
tcf(c_1758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_1165,c_52]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_1673,c_52]) ).
tcf(c_1905,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[c_1845,c_53]) ).
tcf(c_1951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X3,implies(X1,implies(X2,X1))))),
inference(resolution,[status(thm)],[c_1905,c_78]) ).
tcf(c_2696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X1,implies(X2,X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c_1951,c_52]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))),
inference(resolution,[status(thm)],[c_1758,c_53]) ).
tcf(c_2875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_2816,c_52]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),X2)),X3),implies(X4,implies(implies(implies(X2,X5),X2),X3)))),
inference(resolution,[status(thm)],[c_2816,c_78]) ).
tcf(c_4754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(implies(X3,X0),X0)))),
inference(resolution,[status(thm)],[c_2875,c_53]) ).
tcf(c_4818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(implies(X3,X0),X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[c_4754,c_52]) ).
tcf(c_4956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3))))),
inference(resolution,[status(thm)],[c_4818,c_270]) ).
tcf(c_5210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_4956,c_52]) ).
tcf(c_5661,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),implies(X1,implies(X2,X2)))),
inference(resolution,[status(thm)],[c_5210,c_53]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[c_5661,c_52]) ).
tcf(c_5730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1)))),
inference(resolution,[status(thm)],[c_5661,c_78]) ).
tcf(c_6631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[c_5730,c_52]) ).
tcf(c_7322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(resolution,[status(thm)],[c_6631,c_5661]) ).
tcf(c_7446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_7322,c_52]) ).
tcf(c_7510,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[status(thm)],[c_7446,c_53]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(backward_subsumption_resolution,[status(thm)],[c_5725,c_7510]) ).
tcf(c_7774,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_7682,c_52]) ).
tcf(c_7872,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_7774,c_53]) ).
tcf(c_7972,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[c_7872,c_2696]) ).
tcf(c_8110,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_7972,c_52]) ).
tcf(c_8113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X1,X2)))),
inference(resolution,[status(thm)],[c_7972,c_78]) ).
tcf(c_8268,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_8110,c_53]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0)))),
inference(resolution,[status(thm)],[c_8268,c_78]) ).
tcf(c_9311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_8113,c_52]) ).
tcf(c_9343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[c_8364,c_52]) ).
tcf(c_13304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))),
inference(resolution,[status(thm)],[c_2880,c_9343]) ).
tcf(c_13349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_13304,c_52]) ).
tcf(c_13434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(resolution,[status(thm)],[c_13349,c_53]) ).
tcf(c_13584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_13434,c_52]) ).
tcf(c_13686,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[status(thm)],[c_13584,c_53]) ).
tcf(c_13854,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_13686,c_52]) ).
tcf(c_13858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(implies(X0,X3),X0),X1)))),
inference(resolution,[status(thm)],[c_13686,c_78]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[status(thm)],[c_13854,c_53]) ).
tcf(c_14126,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[c_13993,c_52]) ).
tcf(c_14141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1))) ),
inference(resolution,[status(thm)],[c_13993,c_1189]) ).
tcf(c_14196,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[c_14126,c_718]) ).
tcf(c_14930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X0,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_14141,c_663]) ).
tcf(c_14992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(resolution,[status(thm)],[c_14141,c_8113]) ).
tcf(c_15006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2)))),
inference(resolution,[status(thm)],[c_14141,c_13858]) ).
tcf(c_15889,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[c_14992,c_14126]) ).
tcf(c_15931,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_15889,c_52]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,implies(X0,X2))))),
inference(resolution,[status(thm)],[c_15931,c_53]) ).
tcf(c_16874,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_14930,c_14126]) ).
tcf(c_16941,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(implies(X0,X2),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_16874,c_14141]) ).
tcf(c_17004,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_16941,c_14126]) ).
tcf(c_21078,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[status(thm)],[c_15006,c_14126]) ).
tcf(c_21281,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),
inference(resolution,[status(thm)],[c_21078,c_14141]) ).
tcf(c_21345,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_21281,c_14126]) ).
tcf(c_21446,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_21345,c_52]) ).
tcf(c_21557,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_21446,c_718]) ).
tcf(c_22879,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[c_21557,c_21446]) ).
tcf(c_23211,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),X2)),
inference(resolution,[status(thm)],[c_22879,c_13686]) ).
tcf(c_24210,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X0),X0),X2)) ),
inference(resolution,[status(thm)],[c_23211,c_52]) ).
tcf(c_25544,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1))) ),
inference(resolution,[status(thm)],[c_24210,c_21557]) ).
tcf(c_25869,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_25544,c_17004]) ).
tcf(c_26813,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1))) ),
inference(resolution,[status(thm)],[c_25869,c_52]) ).
tcf(c_41923,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_26813,c_21557]) ).
tcf(c_53309,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[status(thm)],[c_14196,c_16003]) ).
tcf(c_54697,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_53309,c_52]) ).
tcf(c_54731,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[c_53309,c_14196]) ).
tcf(c_57942,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[status(thm)],[c_54731,c_9311]) ).
tcf(c_58016,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(implies(X0,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[c_57942,c_41923]) ).
tcf(c_64513,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2)) ),
inference(resolution,[status(thm)],[c_58016,c_54697]) ).
tcf(c_66827,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_64513,c_21557]) ).
tcf(c_69700,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[c_66827,c_53309]) ).
tcf(c_72070,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_69700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 21:58:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 116.18/16.48 % SZS status Started for theBenchmark.p
% 116.18/16.48 % SZS status Unsatisfiable for theBenchmark.p
% 116.18/16.48
% 116.18/16.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 116.18/16.48
% 116.18/16.48 % ------ iProver source info
% 116.18/16.48
% 116.18/16.48 % git: date: 2026-07-19 20:42:38 +0200
% 116.18/16.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 116.18/16.48 % git: non_committed_changes: false
% 116.18/16.48
% 116.18/16.48 % ------ Parsing...% successful
% 116.18/16.48
% 116.18/16.48
% 116.18/16.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 116.18/16.48
% 116.18/16.48 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 116.18/16.48
% 116.18/16.48 % ------ Preprocessing...
% 116.18/16.48 % ------ Proving...
% 116.18/16.48 % ------ Problem Properties
% 116.18/16.48
% 116.18/16.48 %
% 116.18/16.48 % clauses 3
% 116.18/16.48 % conjectures 1
% 116.18/16.48 % EPR 0
% 116.18/16.48 % Horn 3
% 116.18/16.48 % unary 2
% 116.18/16.48 % binary 0
% 116.18/16.48 % lits 5
% 116.18/16.48 % lits eq 0
% 116.18/16.48 % fd_pure 0
% 116.18/16.48 % fd_pseudo 0
% 116.18/16.48 % fd_cond 0
% 116.18/16.48 % fd_pseudo_cond 0
% 116.18/16.48 % AC symbols 0
% 116.18/16.48
% 116.18/16.48 % ------ Input Options Time Limit: Unbounded
% 116.18/16.48
% 116.18/16.48
% 116.18/16.48 % ------
% 116.18/16.48 % Current options:
% 116.18/16.48 % ------
% 116.18/16.48
% 116.18/16.48
% 116.18/16.48 %
% 116.18/16.48
% 116.18/16.48 % ------ Proving...
% 116.18/16.48 %
% 116.18/16.48
% 116.18/16.48 % SZS status Unsatisfiable for theBenchmark.p
% 116.18/16.48
% 116.18/16.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 116.18/16.48
% 116.18/16.48
%------------------------------------------------------------------------------