TSTP Solution File: REL024-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL024-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:37:28 EDT 2024
% Result : Unsatisfiable 9.50s 1.66s
% Output : CNFRefutation 10.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 13
% Syntax : Number of formulae : 148 ( 148 unt; 0 def)
% Number of atoms : 148 ( 147 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 225 ( 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f34,plain,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f21,f20]) ).
fof(f37,plain,
composition(meet(sk1,converse(sk2)),sk3) != join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))),
inference(paramodulation,[status(thm)],[f18,f34]) ).
fof(f46,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f48,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f51,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f52,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f69,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f74,plain,
! [X0,X1] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f99,plain,
! [X0,X1,X2] : join(composition(converse(X0),X1),converse(X2)) = converse(join(composition(converse(X1),X0),X2)),
inference(paramodulation,[status(thm)],[f52,f69]) ).
fof(f148,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f74]) ).
fof(f346,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f27,f24]) ).
fof(f410,plain,
! [X0] : composition(converse(one),X0) = converse(converse(X0)),
inference(paramodulation,[status(thm)],[f23,f52]) ).
fof(f417,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[status(thm)],[f25,f410]) ).
fof(f422,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f23,f417]) ).
fof(f426,plain,
converse(one) = one,
inference(paramodulation,[status(thm)],[f417,f23]) ).
fof(f433,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[status(thm)],[f422,f417]) ).
fof(f500,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(paramodulation,[status(thm)],[f29,f69]) ).
fof(f501,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X1,X0)))) = top,
inference(paramodulation,[status(thm)],[f29,f46]) ).
fof(f503,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f29,f46]) ).
fof(f540,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f542,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f551,plain,
zero = complement(top),
inference(paramodulation,[status(thm)],[f540,f30]) ).
fof(f555,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f551,f21]) ).
fof(f559,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f555]) ).
fof(f626,plain,
! [X0,X1] : join(converse(complement(converse(X0))),join(X0,X1)) = join(converse(top),X1),
inference(paramodulation,[status(thm)],[f500,f46]) ).
fof(f666,plain,
! [X0] : top = join(converse(complement(converse(X0))),join(X0,complement(converse(top)))),
inference(paramodulation,[status(thm)],[f500,f501]) ).
fof(f700,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(paramodulation,[status(thm)],[f433,f28]) ).
fof(f730,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f700]) ).
fof(f731,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(forward_demodulation,[status(thm)],[f426,f730]) ).
fof(f732,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[status(thm)],[f433,f731]) ).
fof(f890,plain,
complement(top) = join(complement(top),zero),
inference(paramodulation,[status(thm)],[f551,f732]) ).
fof(f892,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f732,f21]) ).
fof(f893,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f732,f501]) ).
fof(f900,plain,
zero = join(complement(top),zero),
inference(forward_demodulation,[status(thm)],[f551,f890]) ).
fof(f901,plain,
zero = join(zero,complement(top)),
inference(forward_demodulation,[status(thm)],[f18,f900]) ).
fof(f902,plain,
zero = join(zero,zero),
inference(forward_demodulation,[status(thm)],[f551,f901]) ).
fof(f906,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[status(thm)],[f29,f893]) ).
fof(f907,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f18,f906]) ).
fof(f910,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f902,f19]) ).
fof(f938,plain,
! [X0] : top = join(X0,top),
inference(paramodulation,[status(thm)],[f907,f501]) ).
fof(f946,plain,
! [X0] : top = join(top,X0),
inference(paramodulation,[status(thm)],[f18,f938]) ).
fof(f948,plain,
! [X0] : join(converse(top),X0) = converse(top),
inference(paramodulation,[status(thm)],[f938,f148]) ).
fof(f966,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = top,
inference(backward_demodulation,[status(thm)],[f946,f503]) ).
fof(f968,plain,
! [X0,X1] : join(converse(complement(converse(X0))),join(X0,X1)) = converse(top),
inference(backward_demodulation,[status(thm)],[f948,f626]) ).
fof(f976,plain,
top = converse(top),
inference(backward_demodulation,[status(thm)],[f968,f666]) ).
fof(f979,plain,
! [X0] : join(top,X0) = converse(top),
inference(backward_demodulation,[status(thm)],[f976,f948]) ).
fof(f1008,plain,
! [X0,X1] : join(X0,join(top,X1)) = join(X1,top),
inference(paramodulation,[status(thm)],[f938,f48]) ).
fof(f1035,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f18,f48]) ).
fof(f1070,plain,
! [X0,X1] : join(X0,join(top,X1)) = top,
inference(forward_demodulation,[status(thm)],[f938,f1008]) ).
fof(f1104,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(backward_demodulation,[status(thm)],[f1035,f966]) ).
fof(f2026,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f542,f21]) ).
fof(f2616,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f732,f35]) ).
fof(f2621,plain,
! [X0,X1] : X0 = join(meet(X0,join(top,X1)),complement(top)),
inference(paramodulation,[status(thm)],[f1070,f35]) ).
fof(f2653,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f2616]) ).
fof(f2654,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f30,f2653]) ).
fof(f2655,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f2654]) ).
fof(f2666,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(top,X1))),
inference(forward_demodulation,[status(thm)],[f18,f2621]) ).
fof(f2667,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(top,X1))),
inference(forward_demodulation,[status(thm)],[f551,f2666]) ).
fof(f2668,plain,
! [X0] : X0 = join(zero,meet(X0,converse(top))),
inference(forward_demodulation,[status(thm)],[f979,f2667]) ).
fof(f2669,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f976,f2668]) ).
fof(f2832,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f2026,f2669]) ).
fof(f2871,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f542,f2655]) ).
fof(f2874,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f2655,f559]) ).
fof(f2875,plain,
! [X0] : join(zero,complement(complement(X0))) = join(zero,X0),
inference(paramodulation,[status(thm)],[f2655,f910]) ).
fof(f2885,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f2026,f2874]) ).
fof(f2896,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(paramodulation,[status(thm)],[f2885,f2832]) ).
fof(f2903,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f2896,f2655]) ).
fof(f2905,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f2896,f559]) ).
fof(f2906,plain,
! [X0] : complement(complement(X0)) = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f2896,f2875]) ).
fof(f2908,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(backward_demodulation,[status(thm)],[f2896,f2871]) ).
fof(f2942,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[status(thm)],[f2903,f892]) ).
fof(f2970,plain,
! [X0] : meet(X0,top) = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f2906,f2905]) ).
fof(f3077,plain,
! [X0] : X0 = join(X0,complement(join(complement(X0),X0))),
inference(paramodulation,[status(thm)],[f2942,f35]) ).
fof(f3093,plain,
! [X0] : X0 = join(X0,complement(join(X0,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f18,f3077]) ).
fof(f3094,plain,
! [X0] : X0 = join(X0,complement(top)),
inference(forward_demodulation,[status(thm)],[f29,f3093]) ).
fof(f3097,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f551,f3094]) ).
fof(f3221,plain,
top = complement(zero),
inference(paramodulation,[status(thm)],[f551,f2903]) ).
fof(f3236,plain,
! [X0] : zero = join(meet(zero,X0),complement(join(top,X0))),
inference(paramodulation,[status(thm)],[f3221,f35]) ).
fof(f3242,plain,
! [X0] : zero = join(meet(zero,X0),complement(converse(top))),
inference(forward_demodulation,[status(thm)],[f979,f3236]) ).
fof(f3243,plain,
! [X0] : zero = join(complement(converse(top)),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f18,f3242]) ).
fof(f3244,plain,
! [X0] : zero = join(complement(top),meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f976,f3243]) ).
fof(f3245,plain,
! [X0] : zero = join(zero,meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f551,f3244]) ).
fof(f3256,plain,
! [X0] : X0 = join(zero,X0),
inference(paramodulation,[status(thm)],[f18,f3097]) ).
fof(f3282,plain,
! [X0] : zero = meet(zero,X0),
inference(backward_demodulation,[status(thm)],[f3256,f3245]) ).
fof(f3312,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[status(thm)],[f3256,f2970]) ).
fof(f3397,plain,
! [X0] : meet(X0,zero) = zero,
inference(paramodulation,[status(thm)],[f3282,f2026]) ).
fof(f3414,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),zero))),
inference(paramodulation,[status(thm)],[f3397,f35]) ).
fof(f3417,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f3097,f3414]) ).
fof(f3426,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f2903,f3417]) ).
fof(f4646,plain,
! [X0,X1,X2] : join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))) = converse(composition(join(converse(X1),converse(X2)),converse(X0))),
inference(paramodulation,[status(thm)],[f346,f99]) ).
fof(f4722,plain,
! [X0,X1,X2] : join(composition(X0,X1),converse(converse(composition(X0,X2)))) = converse(composition(join(converse(X1),converse(X2)),converse(X0))),
inference(forward_demodulation,[status(thm)],[f25,f4646]) ).
fof(f4723,plain,
! [X0,X1,X2] : join(composition(X0,X1),composition(X0,X2)) = converse(composition(join(converse(X1),converse(X2)),converse(X0))),
inference(forward_demodulation,[status(thm)],[f25,f4722]) ).
fof(f4724,plain,
! [X0,X1,X2] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,converse(join(converse(X1),converse(X2)))),
inference(forward_demodulation,[status(thm)],[f51,f4723]) ).
fof(f4725,plain,
! [X0,X1,X2] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(converse(converse(X2)),X1)),
inference(forward_demodulation,[status(thm)],[f148,f4724]) ).
fof(f4726,plain,
composition(meet(sk1,converse(sk2)),sk3) != composition(meet(sk1,converse(sk2)),join(meet(sk2,sk3),sk3)),
inference(backward_demodulation,[status(thm)],[f4731,f37]) ).
fof(f4731,plain,
! [X0,X1,X2] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f25,f4725]) ).
fof(f4798,plain,
composition(meet(sk1,converse(sk2)),sk3) != composition(meet(sk1,converse(sk2)),join(sk3,meet(sk2,sk3))),
inference(forward_demodulation,[status(thm)],[f18,f4726]) ).
fof(f8082,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f2908,f1104]) ).
fof(f8197,plain,
! [X0,X1] : X0 = join(meet(X0,complement(meet(X1,complement(X0)))),complement(top)),
inference(paramodulation,[status(thm)],[f8082,f35]) ).
fof(f8250,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,complement(meet(X1,complement(X0))))),
inference(forward_demodulation,[status(thm)],[f18,f8197]) ).
fof(f8251,plain,
! [X0,X1] : X0 = join(zero,meet(X0,complement(meet(X1,complement(X0))))),
inference(forward_demodulation,[status(thm)],[f551,f8250]) ).
fof(f8252,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f3426,f8251]) ).
fof(f8318,plain,
! [X0,X1] : top = join(complement(meet(X0,complement(X1))),complement(X1)),
inference(paramodulation,[status(thm)],[f8252,f8082]) ).
fof(f8347,plain,
! [X0,X1] : top = complement(meet(X0,meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f2908,f8318]) ).
fof(f8394,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = join(meet(meet(X0,meet(X1,complement(X0))),X2),complement(join(top,X2))),
inference(paramodulation,[status(thm)],[f8347,f35]) ).
fof(f8399,plain,
! [X0,X1] : zero = meet(meet(X0,meet(X1,complement(X0))),top),
inference(paramodulation,[status(thm)],[f8347,f30]) ).
fof(f8441,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = join(complement(join(top,X2)),meet(meet(X0,meet(X1,complement(X0))),X2)),
inference(forward_demodulation,[status(thm)],[f18,f8394]) ).
fof(f8442,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = join(complement(converse(top)),meet(meet(X0,meet(X1,complement(X0))),X2)),
inference(forward_demodulation,[status(thm)],[f979,f8441]) ).
fof(f8443,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = join(complement(top),meet(meet(X0,meet(X1,complement(X0))),X2)),
inference(forward_demodulation,[status(thm)],[f976,f8442]) ).
fof(f8444,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = join(zero,meet(meet(X0,meet(X1,complement(X0))),X2)),
inference(forward_demodulation,[status(thm)],[f551,f8443]) ).
fof(f8445,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = meet(meet(X0,meet(X1,complement(X0))),X2),
inference(forward_demodulation,[status(thm)],[f3426,f8444]) ).
fof(f8448,plain,
! [X0,X1,X2] : meet(X0,meet(X1,complement(X0))) = meet(zero,X2),
inference(backward_demodulation,[status(thm)],[f8449,f8445]) ).
fof(f8449,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f3312,f8399]) ).
fof(f8451,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f3282,f8448]) ).
fof(f8466,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2903,f8451]) ).
fof(f8568,plain,
! [X0,X1] : complement(X0) = join(zero,complement(join(complement(complement(X0)),meet(X1,X0)))),
inference(paramodulation,[status(thm)],[f8466,f35]) ).
fof(f8634,plain,
! [X0,X1] : complement(X0) = complement(join(complement(complement(X0)),meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f3426,f8568]) ).
fof(f8636,plain,
! [X0,X1] : complement(X0) = complement(join(X0,meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f2903,f8634]) ).
fof(f8858,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f8636,f2903]) ).
fof(f8920,plain,
composition(meet(sk1,converse(sk2)),sk3) != composition(meet(sk1,converse(sk2)),sk3),
inference(backward_demodulation,[status(thm)],[f8941,f4798]) ).
fof(f8941,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2903,f8858]) ).
fof(f8955,plain,
$false,
inference(equality_resolution,[status(esa)],[f8920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : REL024-2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 21:32:02 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.16/0.35 % Drodi V3.6.0
% 9.50/1.66 % Refutation found
% 9.50/1.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.50/1.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.54/1.73 % Elapsed time: 1.372382 seconds
% 10.54/1.73 % CPU time: 10.586294 seconds
% 10.54/1.73 % Total memory used: 178.594 MB
% 10.54/1.73 % Net memory used: 175.892 MB
%------------------------------------------------------------------------------