%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL038-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 02:00:44 PM UTC 2026
% Result : Unsatisfiable 224.19s 28.73s
% Output : Proof 224.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 3
% Syntax : Number of formulae : 129 ( 125 unt; 0 def)
% Number of atoms : 137 ( 116 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 465 ( 178 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f0_nnf,plain,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(f1,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f1_nnf,plain,
! [X,Y,Z,U] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z,U] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h0,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V2,V1)),implies(V1,V3)),implies(V4,implies(V1,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi1]) ).
cnf(h1,plain,
is_a_theorem(implies(V0,implies(implies(V1,V2),implies(V2,implies(V1,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,h0]) ).
cnf(h3,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V1,implies(V0,V1))),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h1]) ).
cnf(h13,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,implies(V2,V1)),V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h3,hi1]) ).
cnf(h14,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,implies(V1,V0)),V1),implies(V2,V1)),V3),implies(V4,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h13]) ).
cnf(h294,plain,
is_a_theorem(implies(V0,implies(implies(V1,V2),implies(V3,implies(V1,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,h14]) ).
cnf(h300,plain,
is_a_theorem(implies(implies(V0,V1),implies(V2,implies(V0,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h294,h294]) ).
cnf(h310,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V1),implies(V3,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h300]) ).
cnf(h342,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,implies(V1,V3))),implies(V4,implies(V2,implies(V1,V3))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h310]) ).
cnf(h397,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h342,h300]) ).
cnf(h399,plain,
is_a_theorem(implies(V0,implies(V1,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h397,h397]) ).
cnf(h402,plain,
is_a_theorem(implies(V0,V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h399,h399]) ).
cnf(h404,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),implies(V2,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h402]) ).
cnf(h414,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V1,V2)),implies(V3,implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h404]) ).
cnf(h424,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),implies(V3,V1)),implies(V4,implies(V3,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h414]) ).
cnf(h425,plain,
is_a_theorem(implies(V0,implies(implies(implies(implies(V1,V2),V3),V2),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h424,hi1]) ).
cnf(h426,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V2),V1),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h425,h425]) ).
cnf(h429,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(implies(V0,V1),V2)),implies(V3,implies(implies(V0,V1),V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h426]) ).
cnf(h452,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,implies(V2,V3)),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h429,h310]) ).
cnf(h401,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V1)),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h397]) ).
cnf(h447,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,implies(V2,V2)),V3),V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h429,h401]) ).
cnf(h403,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),implies(V2,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h399]) ).
cnf(h408,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,h403]) ).
cnf(h413,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h408]) ).
cnf(h443,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,implies(V2,V1)),V3),V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h429,h413]) ).
cnf(h446,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V1),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h429,h403]) ).
cnf(h445,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V2),V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h429,h404]) ).
cnf(h457,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h445,h445]) ).
cnf(h460,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h457,h446]) ).
cnf(h466,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h460,h443]) ).
cnf(h469,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V1)),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h466,h447]) ).
cnf(h472,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h469,h452]) ).
cnf(h475,plain,
is_a_theorem(implies(implies(V0,implies(V1,implies(V0,V2))),implies(V3,implies(V1,implies(V0,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h472]) ).
cnf(h459,plain,
is_a_theorem(implies(implies(V0,implies(V0,V1)),implies(V2,implies(V0,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h457]) ).
cnf(h476,plain,
is_a_theorem(implies(V0,implies(implies(V1,implies(V1,V2)),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h459,h459]) ).
cnf(h478,plain,
is_a_theorem(implies(implies(V0,implies(V0,V1)),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h476,h476]) ).
cnf(h544,plain,
is_a_theorem(implies(implies(V0,implies(V1,implies(V0,V2))),implies(V1,implies(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h475]) ).
cnf(h548,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V1,V2),V0),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h544,hi1]) ).
cnf(h598,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),implies(V2,V1)),V3),implies(implies(V1,V4),V0)),implies(implies(V0,V1),implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h548,hi1]) ).
cnf(h599,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h598,h424]) ).
cnf(h610,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h599,hi1]) ).
cnf(h620,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V2),implies(V3,V2)),V0),implies(V4,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h610]) ).
cnf(h676,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V2),implies(V3,V2)),V0),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h620]) ).
cnf(h596,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V2),implies(implies(V3,implies(V1,V4)),V1)),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h548,h310]) ).
cnf(h740,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,implies(implies(V1,V2),V3)),implies(V1,V2)),V4),V2),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h596,h676]) ).
cnf(h409,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V2),V1),implies(V3,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h403,hi1]) ).
cnf(h421,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V0),implies(V2,V0)),V3),implies(V4,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h409]) ).
cnf(h483,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V0),implies(V2,V0)),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h421]) ).
cnf(h558,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V2),implies(implies(V1,V3),V1)),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h483,h548]) ).
cnf(h928,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(implies(V1,V2),V1),V3)),implies(implies(V1,V2),V1)),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h558,h740]) ).
cnf(h615,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),implies(V2,V1)),V3),V0),implies(implies(V0,V1),implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h548,h610]) ).
cnf(h931,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V0,V2),V0),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h615,h928]) ).
cnf(h613,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V0,V1),implies(V2,V1))),V3),implies(V4,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h610,h610]) ).
cnf(h673,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V0,V1),implies(V2,V1))),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h613]) ).
cnf(h938,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),implies(implies(V0,V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h673,h931]) ).
cnf(h486,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V1,V2)),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h414]) ).
cnf(h496,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,V0)),implies(V3,implies(V2,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h486]) ).
cnf(h511,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h426,h496]) ).
cnf(h515,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,implies(V3,V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h414,h511]) ).
cnf(h520,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,implies(V2,V0))),V3),implies(V4,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h515]) ).
cnf(h531,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,implies(V2,V0))),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h520]) ).
cnf(h552,plain,
is_a_theorem(implies(implies(implies(implies(V0,implies(V1,V2)),V3),V2),implies(V0,implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h531,h548]) ).
cnf(h959,plain,
is_a_theorem(implies(V0,implies(V1,implies(implies(V0,V2),implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h552,h938]) ).
cnf(h591,plain,
is_a_theorem(implies(implies(implies(implies(V0,implies(V1,V2)),V3),implies(V1,implies(V1,V2))),implies(V0,implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h548,h459]) ).
cnf(h958,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h591,h938]) ).
cnf(h614,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V0),V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h599,h610]) ).
cnf(h955,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V2),V3),implies(implies(V0,V1),V2)),implies(implies(V2,V0),implies(V4,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h931,hi1]) ).
cnf(h968,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(V2,V0),V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h591,h955]) ).
cnf(h1171,plain,
is_a_theorem(implies(implies(V0,implies(implies(implies(V0,V1),V2),implies(V3,V2))),implies(implies(implies(V0,V1),V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h968,h676]) ).
cnf(h1185,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,V3)),implies(implies(V0,V3),implies(V2,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1171,h959]) ).
cnf(h1210,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(implies(implies(V3,implies(V0,V4)),V2),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1185,h614]) ).
cnf(h1297,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V3),implies(implies(V1,V3),V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1210,h958]) ).
cnf(h1748,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V1),V2),implies(V0,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h615,h1297]) ).
cnf(h977,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V0,V1),V1)),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h958,h958]) ).
cnf(h1759,plain,
is_a_theorem(implies(V0,implies(implies(implies(implies(V0,V1),V1),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h977,h1748]) ).
cnf(h956,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V0),V2),implies(implies(V0,V1),V0)),implies(implies(V0,V3),implies(V4,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h931,h938]) ).
cnf(h1203,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V0),V2),implies(V3,V4)),implies(implies(V0,V4),implies(V3,V4)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1185,h956]) ).
cnf(h309,plain,
is_a_theorem(implies(V0,implies(V1,implies(implies(V2,V1),implies(V3,V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,h300]) ).
cnf(h337,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V1,V0),implies(V2,V0))),V3),implies(V4,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h309]) ).
cnf(h490,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V1,V0),implies(V2,V0))),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h337]) ).
cnf(h1310,plain,
is_a_theorem(implies(implies(V0,implies(V1,implies(implies(implies(V0,V2),V0),V3))),implies(implies(V4,implies(implies(implies(V0,V2),V0),V3)),implies(V1,implies(implies(implies(V0,V2),V0),V3))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h490,h1203]) ).
cnf(h1794,plain,
is_a_theorem(implies(implies(V0,implies(implies(implies(V1,V2),V1),V3)),implies(implies(implies(implies(V1,V4),V4),implies(implies(implies(V1,V2),V1),V3)),implies(implies(implies(V1,V2),V1),V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1310,h1759]) ).
cnf(h623,plain,
is_a_theorem(implies(implies(implies(implies(V0,implies(V1,implies(V0,V2))),implies(V1,implies(V0,V2))),V3),implies(V4,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h610,h544]) ).
cnf(h887,plain,
is_a_theorem(implies(implies(implies(implies(V0,implies(V1,implies(V0,V2))),implies(V1,implies(V0,V2))),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h623]) ).
cnf(h1835,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V1),implies(implies(implies(V0,V2),V0),implies(V3,V4))),implies(implies(implies(V0,V2),V0),implies(V3,V4)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h887,h1794]) ).
cnf(h1840,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),implies(implies(implies(implies(V0,V2),V2),V3),implies(V4,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1835,h959]) ).
cnf(h953,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),implies(implies(implies(V2,V0),V3),implies(V4,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h931,h614]) ).
cnf(h1205,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,V3)),implies(implies(implies(V4,V0),V3),implies(V2,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1185,h953]) ).
cnf(h1270,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,V3)),implies(implies(implies(V1,V4),V3),implies(V2,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h673,h1205]) ).
cnf(h1844,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,V3)),implies(implies(implies(implies(V0,V4),V4),V3),implies(V2,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1270,h1840]) ).
cnf(h1889,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V1),implies(V2,V3)),implies(implies(implies(V0,V4),V3),implies(V2,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h673,h1844]) ).
cnf(h1273,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),implies(V3,V4)),implies(implies(V1,V4),implies(V3,V4)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1205,h1185]) ).
cnf(h1306,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V2,V1)),V3),implies(V0,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h615,h1273]) ).
cnf(h2433,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V0,V2),V1),implies(V3,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1306,h1889]) ).
cnf(h2474,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,V3)),implies(implies(implies(implies(V0,V3),V4),V3),implies(V2,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1889,h2433]) ).
cnf(h1202,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V0,V2),V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1185,h958]) ).
cnf(h1529,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(implies(implies(V2,V0),V3),implies(V4,V3))),implies(implies(implies(V2,V0),V3),implies(V4,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1202,h614]) ).
cnf(h2498,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V0,V2)),V1),implies(V3,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1529,h2474]) ).
cnf(h4539,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V0,V2)),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h2498]) ).
cnf(h962,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V0),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h591,h953]) ).
cnf(h1197,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(implies(implies(V0,V3),V2),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h673,h1185]) ).
cnf(h1240,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(implies(V3,V0),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1197,h962]) ).
cnf(h4548,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V1,V2),implies(V1,V3))),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1240,h4539]) ).
cnf(h4715,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(implies(V1,V0),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h615,h4548]) ).
cnf(h4870,plain,
is_a_theorem(implies(implies(V0,V1),implies(V0,implies(implies(V1,V2),implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h4715,h959]) ).
cnf(h6751,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),implies(implies(V1,V2),implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1748,h4870]) ).
cnf(h517,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,implies(V2,V3))),V2),implies(V4,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h511]) ).
cnf(h528,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,implies(V2,V3))),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h517]) ).
cnf(h530,plain,
is_a_theorem(implies(implies(V0,implies(V1,implies(V2,implies(V0,V3)))),implies(V4,implies(V1,implies(V2,implies(V0,V3)))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h528]) ).
cnf(h813,plain,
is_a_theorem(implies(implies(V0,implies(V1,implies(V2,implies(V0,V3)))),implies(V1,implies(V2,implies(V0,V3))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h478,h530]) ).
cnf(t1,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h813,h6751]) ).
cnf(t259,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(f2,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).
fof(f2_nnf,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) != true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t259]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 21:43:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 224.19/28.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 224.19/28.73 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------