%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 02:00:54 PM UTC 2026
% Result : Unsatisfiable 8.34s 1.55s
% Output : Proof 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 4
% Syntax : Number of formulae : 114 ( 110 unt; 0 def)
% Number of atoms : 122 ( 101 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 : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 354 ( 157 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox2/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(t1,plain,
ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t5,plain,
ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(f1,axiom,
is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f1_nnf,plain,
! [P,Q,R,S,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [P,Q,R,S,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t2,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(X5,implies(implies(X4,X1),implies(X3,X1))))) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t4,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(X5,implies(implies(X4,X1),implies(X3,X1))))) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t6,plain,
true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X2),implies(X3,X4))),true,is_a_theorem(implies(X5,implies(implies(X4,X1),implies(X3,X1)))),true),true),
inference(cp,[status(thm)],[t5,t4]) ).
cnf(t0,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t3,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t790,plain,
true = ifeq(is_a_theorem(implies(implies(X1,X2),implies(X3,X4))),true,is_a_theorem(implies(X5,implies(implies(X4,X1),implies(X3,X1)))),true),
inference(step,[status(thm)],[t6,t3]) ).
cnf(t9,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),implies(X3,X4))),true,is_a_theorem(implies(X5,implies(implies(X4,X1),implies(X3,X1)))),true) = true,
inference(orient,[status(thm)],[t790]) ).
cnf(t10,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(Y5,implies(X3,X5))))),true),
inference(cp,[status(thm)],[t9,t4]) ).
cnf(t791,plain,
true = is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(Y5,implies(X3,X5))))),
inference(step,[status(thm)],[t10,t3]) ).
cnf(t13,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(Y5,implies(X3,X5))))) = true,
inference(orient,[status(thm)],[t791]) ).
cnf(t14,plain,
true = ifeq(true,true,ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(Y5,implies(X3,X5)))),true),true),
inference(cp,[status(thm)],[t5,t13]) ).
cnf(t792,plain,
true = ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(Y5,implies(X3,X5)))),true),
inference(step,[status(thm)],[t14,t3]) ).
cnf(t20,plain,
ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(Y5,implies(X3,X5)))),true) = true,
inference(orient,[status(thm)],[t792]) ).
cnf(t21,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),true),
inference(cp,[status(thm)],[t20,t4]) ).
cnf(t793,plain,
true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(step,[status(thm)],[t21,t3]) ).
cnf(t25,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) = true,
inference(orient,[status(thm)],[t793]) ).
cnf(t26,plain,
true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true),true),
inference(cp,[status(thm)],[t5,t25]) ).
cnf(t794,plain,
true = ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true),
inference(step,[status(thm)],[t26,t3]) ).
cnf(t29,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4))),true,is_a_theorem(implies(X5,implies(X2,X4))),true) = true,
inference(orient,[status(thm)],[t794]) ).
cnf(t31,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))),true),
inference(cp,[status(thm)],[t29,t25]) ).
cnf(t796,plain,
true = is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))),
inference(step,[status(thm)],[t31,t3]) ).
cnf(t37,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))) = true,
inference(orient,[status(thm)],[t796]) ).
cnf(t38,plain,
true = ifeq(true,true,ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(X2,X3),implies(X3,implies(X2,X3)))),true),true),
inference(cp,[status(thm)],[t5,t37]) ).
cnf(t800,plain,
true = ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(X2,X3),implies(X3,implies(X2,X3)))),true),
inference(step,[status(thm)],[t38,t3]) ).
cnf(t58,plain,
ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(X2,X3),implies(X3,implies(X2,X3)))),true) = true,
inference(orient,[status(thm)],[t800]) ).
cnf(t30,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3))))),true),
inference(cp,[status(thm)],[t29,t4]) ).
cnf(t795,plain,
true = is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3))))),
inference(step,[status(thm)],[t30,t3]) ).
cnf(t33,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,X3))))) = true,
inference(orient,[status(thm)],[t795]) ).
cnf(t34,plain,
true = ifeq(true,true,ifeq(is_a_theorem(X1),true,is_a_theorem(implies(X2,implies(implies(X2,X3),implies(X4,X3)))),true),true),
inference(cp,[status(thm)],[t5,t33]) ).
cnf(t797,plain,
true = ifeq(is_a_theorem(X1),true,is_a_theorem(implies(X2,implies(implies(X2,X3),implies(X4,X3)))),true),
inference(step,[status(thm)],[t34,t3]) ).
cnf(t41,plain,
ifeq(is_a_theorem(X1),true,is_a_theorem(implies(X2,implies(implies(X2,X3),implies(X4,X3)))),true) = true,
inference(orient,[status(thm)],[t797]) ).
cnf(t42,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),true),
inference(cp,[status(thm)],[t41,t4]) ).
cnf(t798,plain,
true = is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))),
inference(step,[status(thm)],[t42,t3]) ).
cnf(t47,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) = true,
inference(orient,[status(thm)],[t798]) ).
cnf(t59,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))),true),
inference(cp,[status(thm)],[t58,t47]) ).
cnf(t801,plain,
true = is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))),
inference(step,[status(thm)],[t59,t3]) ).
cnf(t65,plain,
is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) = true,
inference(orient,[status(thm)],[t801]) ).
cnf(t69,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X3,X2)))),true),
inference(cp,[status(thm)],[t9,t65]) ).
cnf(t802,plain,
true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X3,X2)))),
inference(step,[status(thm)],[t69,t3]) ).
cnf(t70,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X3,X2)))) = true,
inference(orient,[status(thm)],[t802]) ).
cnf(t71,plain,
true = ifeq(true,true,ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(implies(X2,X3),X2),implies(X3,X2))),true),true),
inference(cp,[status(thm)],[t5,t70]) ).
cnf(t804,plain,
true = ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(implies(X2,X3),X2),implies(X3,X2))),true),
inference(step,[status(thm)],[t71,t3]) ).
cnf(t81,plain,
ifeq(is_a_theorem(X1),true,is_a_theorem(implies(implies(implies(X2,X3),X2),implies(X3,X2))),true) = true,
inference(orient,[status(thm)],[t804]) ).
cnf(t82,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))),true),
inference(cp,[status(thm)],[t81,t65]) ).
cnf(t805,plain,
true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))),
inference(step,[status(thm)],[t82,t3]) ).
cnf(t90,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) = true,
inference(orient,[status(thm)],[t805]) ).
cnf(t94,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),true),
inference(cp,[status(thm)],[t29,t90]) ).
cnf(t806,plain,
true = is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(step,[status(thm)],[t94,t3]) ).
cnf(t96,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) = true,
inference(orient,[status(thm)],[t806]) ).
cnf(t97,plain,
true = ifeq(true,true,ifeq(is_a_theorem(X1),true,is_a_theorem(implies(X2,implies(X3,X2))),true),true),
inference(cp,[status(thm)],[t5,t96]) ).
cnf(t807,plain,
true = ifeq(is_a_theorem(X1),true,is_a_theorem(implies(X2,implies(X3,X2))),true),
inference(step,[status(thm)],[t97,t3]) ).
cnf(t102,plain,
ifeq(is_a_theorem(X1),true,is_a_theorem(implies(X2,implies(X3,X2))),true) = true,
inference(orient,[status(thm)],[t807]) ).
cnf(t103,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,X1))),true),
inference(cp,[status(thm)],[t102,t47]) ).
cnf(t808,plain,
true = is_a_theorem(implies(X1,implies(X2,X1))),
inference(step,[status(thm)],[t103,t3]) ).
cnf(t111,plain,
is_a_theorem(implies(X1,implies(X2,X1))) = true,
inference(orient,[status(thm)],[t808]) ).
cnf(t113,plain,
true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,X1)),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true),
inference(cp,[status(thm)],[t5,t111]) ).
cnf(t817,plain,
true = ifeq(is_a_theorem(implies(implies(X1,implies(X2,X1)),X3)),true,is_a_theorem(X3),true),
inference(step,[status(thm)],[t113,t3]) ).
cnf(t158,plain,
ifeq(is_a_theorem(implies(implies(X1,implies(X2,X1)),X3)),true,is_a_theorem(X3),true) = true,
inference(orient,[status(thm)],[t817]) ).
cnf(t116,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),true),
inference(cp,[status(thm)],[t9,t111]) ).
cnf(t814,plain,
true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(step,[status(thm)],[t116,t3]) ).
cnf(t146,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))) = true,
inference(orient,[status(thm)],[t814]) ).
cnf(t160,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),true),
inference(cp,[status(thm)],[t158,t146]) ).
cnf(t820,plain,
true = is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(step,[status(thm)],[t160,t3]) ).
cnf(t174,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) = true,
inference(orient,[status(thm)],[t820]) ).
cnf(t175,plain,
true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X1,X2),X1)),true,is_a_theorem(implies(X3,X1)),true),true),
inference(cp,[status(thm)],[t5,t174]) ).
cnf(t829,plain,
true = ifeq(is_a_theorem(implies(implies(X1,X2),X1)),true,is_a_theorem(implies(X3,X1)),true),
inference(step,[status(thm)],[t175,t3]) ).
cnf(t243,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),X1)),true,is_a_theorem(implies(X3,X1)),true) = true,
inference(orient,[status(thm)],[t829]) ).
cnf(t101,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),true),
inference(cp,[status(thm)],[t9,t96]) ).
cnf(t811,plain,
true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),
inference(step,[status(thm)],[t101,t3]) ).
cnf(t128,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))) = true,
inference(orient,[status(thm)],[t811]) ).
cnf(t159,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),true),
inference(cp,[status(thm)],[t158,t128]) ).
cnf(t818,plain,
true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(step,[status(thm)],[t159,t3]) ).
cnf(t162,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) = true,
inference(orient,[status(thm)],[t818]) ).
cnf(t244,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,X2))),true),
inference(cp,[status(thm)],[t243,t162]) ).
cnf(t830,plain,
true = is_a_theorem(implies(X1,implies(X2,X2))),
inference(step,[status(thm)],[t244,t3]) ).
cnf(t247,plain,
is_a_theorem(implies(X1,implies(X2,X2))) = true,
inference(orient,[status(thm)],[t830]) ).
cnf(t253,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,X1)),true),
inference(cp,[status(thm)],[t158,t247]) ).
cnf(t831,plain,
true = is_a_theorem(implies(X1,X1)),
inference(step,[status(thm)],[t253,t3]) ).
cnf(t254,plain,
is_a_theorem(implies(X1,X1)) = true,
inference(orient,[status(thm)],[t831]) ).
cnf(t256,plain,
true = ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(cp,[status(thm)],[t5,t254]) ).
cnf(t837,plain,
true = ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true),
inference(step,[status(thm)],[t256,t3]) ).
cnf(t288,plain,
ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(X2),true) = true,
inference(orient,[status(thm)],[t837]) ).
cnf(t178,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))))),true),
inference(cp,[status(thm)],[t9,t174]) ).
cnf(t853,plain,
true = is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))))),
inference(step,[status(thm)],[t178,t3]) ).
cnf(t415,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))))) = true,
inference(orient,[status(thm)],[t853]) ).
cnf(t419,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),true),
inference(cp,[status(thm)],[t288,t415]) ).
cnf(t854,plain,
true = is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(step,[status(thm)],[t419,t3]) ).
cnf(t427,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) = true,
inference(orient,[status(thm)],[t854]) ).
cnf(t428,plain,
true = ifeq(true,true,ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true),true),
inference(cp,[status(thm)],[t5,t427]) ).
cnf(t879,plain,
true = ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true),
inference(step,[status(thm)],[t428,t3]) ).
cnf(t727,plain,
ifeq(is_a_theorem(implies(X1,implies(X1,X2))),true,is_a_theorem(implies(X3,implies(X1,X2))),true) = true,
inference(orient,[status(thm)],[t879]) ).
cnf(t735,plain,
true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),true),
inference(cp,[status(thm)],[t727,t174]) ).
cnf(t882,plain,
true = is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(step,[status(thm)],[t735,t3]) ).
cnf(t764,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) = true,
inference(orient,[status(thm)],[t882]) ).
cnf(t768,plain,
true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),true),
inference(cp,[status(thm)],[t288,t764]) ).
cnf(t883,plain,
true = is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(step,[status(thm)],[t768,t3]) ).
cnf(t781,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) = true,
inference(orient,[status(thm)],[t883]) ).
cnf(f2,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
fof(f2_nnf,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(implies(implies(implies(a,b),a),a)) != true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t781]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 21:53:12 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.34/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.34/1.55 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------