%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL084-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 02:00:53 PM UTC 2026
% Result : Unsatisfiable 240.94s 30.94s
% Output : Proof 240.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 5
% Syntax : Number of formulae : 110 ( 106 unt; 0 def)
% Number of atoms : 118 ( 89 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 : 359 ( 130 sgn 18 !; 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(f2,axiom,
is_a_theorem(implies(X,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_1) ).
fof(f2_nnf,plain,
! [X] : is_a_theorem(implies(X,X)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : is_a_theorem(implies(X,X)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
is_a_theorem(implies(X0,X0)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
is_a_theorem(implies(X0,X0)) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h0,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),implies(V2,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi2]) ).
cnf(h3,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,h0]) ).
cnf(h31,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,h3]) ).
cnf(f3,axiom,
is_a_theorem(implies(implies(implies(X,Y),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_3) ).
fof(f3_nnf,plain,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),X),X)),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),X),X)),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,axiom,
is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h1,plain,
is_a_theorem(implies(implies(V0,implies(V0,V1)),implies(V2,implies(V0,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi3]) ).
cnf(h9,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V1),implies(V3,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h1]) ).
cnf(h8,plain,
is_a_theorem(implies(V0,implies(implies(V1,implies(V1,V2)),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1,h1]) ).
cnf(h2,plain,
is_a_theorem(implies(V0,implies(V1,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,h0]) ).
cnf(h4,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),implies(V2,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h2]) ).
cnf(h10,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V1),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1,h4]) ).
cnf(h12,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h10,h10]) ).
cnf(h20,plain,
is_a_theorem(implies(implies(V0,implies(V0,V1)),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h12,h8]) ).
cnf(h23,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h9]) ).
cnf(h25,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,h23]) ).
cnf(h85,plain,
is_a_theorem(implies(implies(V0,implies(V1,implies(V0,V2))),implies(V1,implies(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h25]) ).
cnf(h89,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V1,V2),V0),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h85,hi1]) ).
cnf(h107,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,h89,hi1]) ).
cnf(h139,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h107,h31]) ).
cnf(h147,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h139,hi1]) ).
cnf(h150,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V0),V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h139,h147]) ).
cnf(h155,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,h147]) ).
cnf(h176,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V2),implies(V3,V2)),V0),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h155]) ).
cnf(h200,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,h89,h9]) ).
cnf(h291,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,h200,h176]) ).
cnf(h6,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V2),V1),implies(V3,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h4,hi1]) ).
cnf(h15,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,h6]) ).
cnf(h81,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),V0),implies(V2,V0)),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h15]) ).
cnf(h91,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,h81,h89]) ).
cnf(h439,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,h91,h291]) ).
cnf(h152,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,h89,h147]) ).
cnf(h625,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V0,V2),V0),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h152,h439]) ).
cnf(h149,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,h147,h147]) ).
cnf(h174,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V0,V1),implies(V2,V1))),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h149]) ).
cnf(h634,plain,
is_a_theorem(implies(implies(implies(V0,V1),V0),implies(implies(V0,V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h174,h625]) ).
cnf(h29,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V1,V2)),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h3]) ).
cnf(h32,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,h29]) ).
cnf(h48,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h0,h32]) ).
cnf(h66,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h48]) ).
cnf(h70,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h66]) ).
cnf(h92,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V2),V1),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h70,h89]) ).
cnf(h108,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h92,h32]) ).
cnf(h110,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,h89,h108]) ).
cnf(h657,plain,
is_a_theorem(implies(V0,implies(V1,implies(implies(V0,V2),implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h110,h634]) ).
cnf(h652,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,h625,hi1]) ).
cnf(h202,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,h89,h1]) ).
cnf(h671,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(V2,V0),V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h202,h652]) ).
cnf(h891,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,h671,h176]) ).
cnf(h901,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,h891,h657]) ).
cnf(h929,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,h901,h150]) ).
cnf(h655,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h202,h634]) ).
cnf(h915,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,h174,h901]) ).
cnf(h952,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(V0,V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h915,h655]) ).
cnf(h1318,plain,
is_a_theorem(implies(implies(V0,implies(implies(implies(V1,implies(V0,V2)),V3),implies(V4,V3))),implies(implies(implies(V1,implies(V0,V2)),V3),implies(V4,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h952,h929]) ).
cnf(h650,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,h625,h150]) ).
cnf(h923,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,h901,h650]) ).
cnf(h990,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,h923,h901]) ).
cnf(h1022,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V2,V1)),V3),implies(V0,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h152,h990]) ).
cnf(h1014,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V2)),V3),implies(implies(V1,V3),V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h929,h655]) ).
cnf(h1481,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V1),V2),implies(V0,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h152,h1014]) ).
cnf(h1711,plain,
is_a_theorem(implies(implies(V0,V1),implies(V0,implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1481,h1022]) ).
cnf(h1769,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),implies(V2,implies(V3,V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1022,h1711]) ).
cnf(h1897,plain,
is_a_theorem(implies(implies(implies(V0,V1),implies(V2,implies(V3,V4))),implies(implies(V0,V4),implies(V2,implies(V3,V4))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h915,h1769]) ).
cnf(h1967,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V2,implies(V0,V3)),V1),implies(V4,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1897,h1318]) ).
cnf(h2039,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V0,V2)),V1),implies(V3,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h891,h1967]) ).
cnf(h5274,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V0,V2)),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h2039]) ).
cnf(h660,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,V0),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h202,h650]) ).
cnf(h951,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(implies(V3,V0),V2),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h915,h660]) ).
cnf(h5286,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V1,V2),implies(V1,V3))),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h951,h5274]) ).
cnf(h1908,plain,
is_a_theorem(implies(implies(implies(implies(implies(V0,V1),implies(V2,implies(V3,V1))),V4),V0),implies(implies(V0,V1),implies(V2,implies(V3,V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h89,h1769]) ).
cnf(h6304,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(V2,V0),implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1908,h5286]) ).
cnf(h1959,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V0,V2),V1),implies(V3,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h174,h1897]) ).
cnf(h2001,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V0,V1),V2)),V1),implies(V3,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1318,h1959]) ).
cnf(h5217,plain,
is_a_theorem(implies(implies(implies(V0,implies(implies(V0,V1),V2)),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h2001]) ).
cnf(h5236,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,implies(implies(V1,V2),V3))),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h951,h5217]) ).
cnf(h5332,plain,
is_a_theorem(implies(implies(V0,V1),implies(V2,implies(implies(V2,V0),V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1908,h5236]) ).
cnf(h1775,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V0,implies(V2,V1))),V3),V3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h655,h1711]) ).
cnf(h5351,plain,
is_a_theorem(implies(V0,implies(implies(V0,implies(V1,V2)),implies(V1,implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1775,h5332]) ).
cnf(h87,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,h25]) ).
cnf(h119,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,implies(V2,V3))),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h20,h87]) ).
cnf(h213,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,h119]) ).
cnf(h411,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,h20,h213]) ).
cnf(h7240,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(V1,implies(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h411,h5351]) ).
cnf(t3,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h7240,h6304]) ).
cnf(t261,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(f4,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) ).
fof(f4_nnf,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[status(esa)],[f4_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)],[c4]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t261]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL084-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n001.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 21:58:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 240.94/30.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 240.94/30.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------