TSTP Solution File: REL013-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL013-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:37:24 EDT 2024
% Result : Unsatisfiable 7.90s 1.39s
% Output : CNFRefutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 16
% Syntax : Number of formulae : 150 ( 139 unt; 0 def)
% Number of atoms : 161 ( 146 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 206 ( 206 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( composition(sk1,zero) != zero
| composition(zero,sk1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
( composition(sk1,zero) != zero
| composition(zero,sk1) != zero ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
( spl0_0
<=> composition(sk1,zero) = zero ),
introduced(split_symbol_definition) ).
fof(f31,plain,
( composition(sk1,zero) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,plain,
( spl0_1
<=> composition(zero,sk1) = zero ),
introduced(split_symbol_definition) ).
fof(f34,plain,
( composition(zero,sk1) != zero
| spl0_1 ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f28,f29,f32]) ).
fof(f36,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f37,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f25]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f36]) ).
fof(f39,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f38]) ).
fof(f263,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f20,f19]) ).
fof(f392,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f393,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f413,plain,
! [X0,X1,X2,X3] : join(composition(X0,X1),join(composition(X2,X1),X3)) = join(composition(join(X0,X2),X1),X3),
inference(paramodulation,[status(thm)],[f21,f16]) ).
fof(f415,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f416,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f16,f415]) ).
fof(f422,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f423,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f422]) ).
fof(f424,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f425,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f424]) ).
fof(f440,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f423,f26]) ).
fof(f446,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f447,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f454,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f671,plain,
! [X0] : join(X0,top) = join(top,join(X0,zero)),
inference(paramodulation,[status(thm)],[f440,f416]) ).
fof(f804,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f423,f37]) ).
fof(f805,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f423,f804]) ).
fof(f811,plain,
! [X0,X1,X2] : join(complement(X0),composition(converse(composition(X1,X2)),complement(composition(X1,composition(X2,X0))))) = complement(X0),
inference(paramodulation,[status(thm)],[f19,f37]) ).
fof(f823,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f27,f39]) ).
fof(f824,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f18,f823]) ).
fof(f827,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f39]) ).
fof(f828,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f15,f827]) ).
fof(f838,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f839,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f838]) ).
fof(f840,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f423,f839]) ).
fof(f1134,plain,
! [X0,X1,X2] : join(composition(X0,X1),top) = join(composition(join(X0,X2),X1),complement(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f26,f413]) ).
fof(f1135,plain,
! [X0,X1,X2] : join(top,composition(X0,X1)) = join(composition(join(X0,X2),X1),complement(composition(X2,X1))),
inference(forward_demodulation,[status(thm)],[f15,f1134]) ).
fof(f1136,plain,
! [X0,X1,X2] : join(top,composition(X0,X1)) = join(complement(composition(X2,X1)),composition(join(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f15,f1135]) ).
fof(f1755,plain,
! [X0,X1,X2] : join(top,composition(X0,X1)) = join(complement(composition(join(X2,complement(join(X0,X2))),X1)),composition(top,X1)),
inference(paramodulation,[status(thm)],[f392,f1136]) ).
fof(f1756,plain,
! [X0,X1,X2] : join(top,composition(X0,X1)) = join(composition(top,X1),complement(composition(join(X2,complement(join(X0,X2))),X1))),
inference(forward_demodulation,[status(thm)],[f15,f1755]) ).
fof(f1763,plain,
! [X0,X1,X2] : join(top,composition(X0,X1)) = join(complement(composition(X2,X1)),composition(join(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f15,f1136]) ).
fof(f1952,plain,
! [X0,X1] : join(top,composition(complement(X0),X1)) = join(complement(composition(X0,X1)),composition(top,X1)),
inference(paramodulation,[status(thm)],[f26,f1763]) ).
fof(f1953,plain,
! [X0,X1] : join(top,composition(complement(X0),X1)) = join(composition(top,X1),complement(composition(X0,X1))),
inference(forward_demodulation,[status(thm)],[f15,f1952]) ).
fof(f1977,plain,
! [X0,X1,X2] : join(top,composition(X0,X1)) = join(top,composition(complement(join(X2,complement(join(X0,X2)))),X1)),
inference(backward_demodulation,[status(thm)],[f1953,f1756]) ).
fof(f2537,plain,
! [X0,X1] : join(top,composition(X0,one)) = join(top,complement(join(X1,complement(join(X0,X1))))),
inference(paramodulation,[status(thm)],[f20,f1977]) ).
fof(f2538,plain,
! [X0,X1] : join(top,X0) = join(top,complement(join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f20,f2537]) ).
fof(f2672,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,join(X0,complement(X1)))),
inference(paramodulation,[status(thm)],[f18,f2538]) ).
fof(f2677,plain,
! [X0,X1] : join(top,meet(X0,X1)) = join(top,complement(join(complement(join(complement(X0),X1)),complement(X0)))),
inference(paramodulation,[status(thm)],[f39,f2538]) ).
fof(f2678,plain,
! [X0,X1] : join(top,meet(X0,X1)) = join(top,meet(join(complement(X0),X1),X0)),
inference(forward_demodulation,[status(thm)],[f18,f2677]) ).
fof(f2679,plain,
! [X0,X1] : join(top,meet(X0,X1)) = join(top,meet(X0,join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f425,f2678]) ).
fof(f2730,plain,
! [X0,X1] : join(top,X0) = join(top,complement(join(X1,complement(join(X1,X0))))),
inference(paramodulation,[status(thm)],[f15,f2538]) ).
fof(f2789,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,join(complement(X1),X0))),
inference(paramodulation,[status(thm)],[f18,f2730]) ).
fof(f2790,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f2679,f2789]) ).
fof(f2884,plain,
! [X0,X1] : join(top,X0) = join(top,join(X0,complement(X1))),
inference(backward_demodulation,[status(thm)],[f2790,f2672]) ).
fof(f3011,plain,
! [X0,X1] : join(top,join(meet(X0,X1),complement(join(top,X1)))) = top,
inference(paramodulation,[status(thm)],[f2790,f392]) ).
fof(f3012,plain,
! [X0,X1] : join(top,meet(X0,X1)) = top,
inference(forward_demodulation,[status(thm)],[f2884,f3011]) ).
fof(f3013,plain,
! [X0] : join(top,X0) = top,
inference(forward_demodulation,[status(thm)],[f2790,f3012]) ).
fof(f3091,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f3013,f671]) ).
fof(f3148,plain,
! [X0] : X0 = join(meet(X0,top),complement(top)),
inference(paramodulation,[status(thm)],[f3091,f39]) ).
fof(f3149,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f15,f3148]) ).
fof(f3150,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f423,f3149]) ).
fof(f3179,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f425,f3150]) ).
fof(f3191,plain,
complement(top) = join(zero,zero),
inference(paramodulation,[status(thm)],[f27,f3179]) ).
fof(f3192,plain,
zero = join(zero,zero),
inference(forward_demodulation,[status(thm)],[f423,f3191]) ).
fof(f3207,plain,
! [X0] : join(zero,join(zero,X0)) = join(X0,zero),
inference(paramodulation,[status(thm)],[f3192,f393]) ).
fof(f3366,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f425,f828]) ).
fof(f3479,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f27,f3366]) ).
fof(f3480,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f15,f3479]) ).
fof(f3481,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f425,f3480]) ).
fof(f3482,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f840,f3481]) ).
fof(f3511,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f18,f3482]) ).
fof(f3581,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f3091,f446]) ).
fof(f3616,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f3013,f3581]) ).
fof(f3710,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(paramodulation,[status(thm)],[f3616,f24]) ).
fof(f3779,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f454]) ).
fof(f3780,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f3779]) ).
fof(f3820,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f263,f3780]) ).
fof(f3821,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f3780,f3820]) ).
fof(f3822,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f3780]) ).
fof(f3823,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f3780,f37]) ).
fof(f3824,plain,
! [X0] : complement(meet(X0,composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f3511,f3823]) ).
fof(f3825,plain,
! [X0] : complement(meet(X0,X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f3821,f3824]) ).
fof(f4038,plain,
! [X0,X1] : composition(join(X0,converse(one)),X1) = join(composition(X0,X1),X1),
inference(paramodulation,[status(thm)],[f3780,f21]) ).
fof(f4039,plain,
! [X0,X1] : composition(join(X0,one),X1) = join(composition(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f3822,f4038]) ).
fof(f4040,plain,
! [X0,X1] : composition(join(X0,one),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f4039]) ).
fof(f4616,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f3825,f3482]) ).
fof(f4617,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f3482,f4616]) ).
fof(f4641,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f4617,f824]) ).
fof(f4651,plain,
! [X0] : join(zero,X0) = join(X0,zero),
inference(backward_demodulation,[status(thm)],[f4641,f3207]) ).
fof(f4652,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f4641,f4651]) ).
fof(f4662,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f4641,f805]) ).
fof(f4711,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(paramodulation,[status(thm)],[f4641,f447]) ).
fof(f4712,plain,
! [X0] : X0 = join(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f22,f4711]) ).
fof(f5084,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f4652,f4712]) ).
fof(f5676,plain,
! [X0] : converse(join(top,composition(X0,top))) = composition(top,converse(join(X0,one))),
inference(paramodulation,[status(thm)],[f4040,f3710]) ).
fof(f5677,plain,
! [X0] : converse(top) = composition(top,converse(join(X0,one))),
inference(forward_demodulation,[status(thm)],[f3013,f5676]) ).
fof(f5678,plain,
! [X0] : top = composition(top,converse(join(X0,one))),
inference(forward_demodulation,[status(thm)],[f3616,f5677]) ).
fof(f6161,plain,
! [X0] : converse(join(X0,one)) = join(converse(X0),one),
inference(paramodulation,[status(thm)],[f3822,f447]) ).
fof(f6162,plain,
! [X0] : converse(join(X0,one)) = join(one,converse(X0)),
inference(forward_demodulation,[status(thm)],[f15,f6161]) ).
fof(f6191,plain,
! [X0] : top = composition(top,join(one,converse(X0))),
inference(backward_demodulation,[status(thm)],[f6162,f5678]) ).
fof(f6821,plain,
top = composition(top,join(one,top)),
inference(paramodulation,[status(thm)],[f3616,f6191]) ).
fof(f6822,plain,
top = composition(top,top),
inference(forward_demodulation,[status(thm)],[f3091,f6821]) ).
fof(f6961,plain,
! [X0] : join(complement(top),composition(converse(composition(X0,top)),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f6822,f811]) ).
fof(f6962,plain,
! [X0] : join(zero,composition(converse(composition(X0,top)),complement(composition(X0,top)))) = complement(top),
inference(forward_demodulation,[status(thm)],[f423,f6961]) ).
fof(f6963,plain,
! [X0] : composition(converse(composition(X0,top)),complement(composition(X0,top))) = complement(top),
inference(forward_demodulation,[status(thm)],[f4641,f6962]) ).
fof(f6964,plain,
! [X0] : composition(composition(top,converse(X0)),complement(composition(X0,top))) = complement(top),
inference(forward_demodulation,[status(thm)],[f3710,f6963]) ).
fof(f6965,plain,
! [X0] : composition(top,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(forward_demodulation,[status(thm)],[f19,f6964]) ).
fof(f6966,plain,
composition(top,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f4662,f6965]) ).
fof(f6967,plain,
composition(top,zero) = zero,
inference(forward_demodulation,[status(thm)],[f423,f6966]) ).
fof(f7217,plain,
! [X0] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
inference(paramodulation,[status(thm)],[f6967,f21]) ).
fof(f7218,plain,
! [X0] : composition(top,zero) = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f3091,f7217]) ).
fof(f7219,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(forward_demodulation,[status(thm)],[f6967,f7218]) ).
fof(f7220,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[status(thm)],[f4652,f7219]) ).
fof(f7239,plain,
( zero != zero
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f7220,f31]) ).
fof(f7240,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f7239]) ).
fof(f7241,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f7240]) ).
fof(f7290,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(paramodulation,[status(thm)],[f7220,f454]) ).
fof(f7291,plain,
! [X0] : zero = composition(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f5084,f7290]) ).
fof(f7292,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[status(thm)],[f5084,f7291]) ).
fof(f7462,plain,
( zero != zero
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f7292,f34]) ).
fof(f7463,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f7462]) ).
fof(f7464,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f7463]) ).
fof(f7465,plain,
$false,
inference(sat_refutation,[status(thm)],[f35,f7241,f7464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL013-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:02:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 7.90/1.39 % Refutation found
% 7.90/1.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.90/1.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.90/1.45 % Elapsed time: 1.076898 seconds
% 7.90/1.45 % CPU time: 8.288765 seconds
% 7.90/1.45 % Total memory used: 159.992 MB
% 7.90/1.45 % Net memory used: 158.107 MB
%------------------------------------------------------------------------------