TSTP Solution File: REL047-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL047-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:37:36 EDT 2024
% Result : Unsatisfiable 107.97s 14.04s
% Output : CNFRefutation 109.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 9
% Syntax : Number of formulae : 171 ( 171 unt; 0 def)
% Number of atoms : 171 ( 170 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 336 ( 336 !; 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(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(f14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(sk1,sk3) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
join(sk1,sk3) = sk3,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f17,f19]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f20,f33]) ).
fof(f36,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f17,f35]) ).
fof(f37,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f28,f18]) ).
fof(f38,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f43,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f28,f18]) ).
fof(f44,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f45,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f18,f44]) ).
fof(f51,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f28,f20]) ).
fof(f52,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f29,f51]) ).
fof(f53,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f17,f20]) ).
fof(f54,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f20,f53]) ).
fof(f68,plain,
zero = meet(top,zero),
inference(paramodulation,[status(thm)],[f52,f29]) ).
fof(f69,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f52,f28]) ).
fof(f111,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f38]) ).
fof(f137,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(paramodulation,[status(thm)],[f17,f43]) ).
fof(f157,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f38,f45]) ).
fof(f2421,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f36]) ).
fof(f2422,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f17,f2421]) ).
fof(f2425,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))),
inference(paramodulation,[status(thm)],[f43,f36]) ).
fof(f2426,plain,
! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f17,f2425]) ).
fof(f2431,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(complement(X0)))),complement(join(top,X1))),
inference(paramodulation,[status(thm)],[f137,f36]) ).
fof(f2432,plain,
! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f17,f2431]) ).
fof(f2441,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f28,f36]) ).
fof(f2442,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f17,f2441]) ).
fof(f2443,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f52,f2442]) ).
fof(f2457,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f36,f137]) ).
fof(f2458,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f2457]) ).
fof(f2459,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f111,f2458]) ).
fof(f2460,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f137,f2459]) ).
fof(f2511,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f54,f2422]) ).
fof(f2515,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f54,f2422]) ).
fof(f2575,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f54,f2460]) ).
fof(f2576,plain,
! [X0,X1] : join(top,X0) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f2460,f2575]) ).
fof(f2609,plain,
! [X0] : top = join(top,X0),
inference(paramodulation,[status(thm)],[f69,f2576]) ).
fof(f2985,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(complement(X0))))),
inference(backward_demodulation,[status(thm)],[f2609,f2432]) ).
fof(f2986,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f52,f2985]) ).
fof(f2987,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(backward_demodulation,[status(thm)],[f2609,f2426]) ).
fof(f2988,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f52,f2987]) ).
fof(f3093,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(join(complement(X0),X1)))),complement(top)),
inference(paramodulation,[status(thm)],[f37,f36]) ).
fof(f3094,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(join(complement(X0),X1))))),
inference(forward_demodulation,[status(thm)],[f17,f3093]) ).
fof(f3095,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(join(complement(X0),X1))))),
inference(forward_demodulation,[status(thm)],[f52,f3094]) ).
fof(f3221,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f54,f2511]) ).
fof(f3259,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f29,f2515]) ).
fof(f3260,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f17,f3259]) ).
fof(f3261,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f54,f3260]) ).
fof(f3262,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2443,f3261]) ).
fof(f3297,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X0,X1))),
inference(backward_demodulation,[status(thm)],[f3262,f2988]) ).
fof(f3298,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,X0))),
inference(backward_demodulation,[status(thm)],[f3262,f2986]) ).
fof(f3307,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f20,f3262]) ).
fof(f3320,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f3262,f20]) ).
fof(f3341,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,meet(X0,complement(X1))))),
inference(backward_demodulation,[status(thm)],[f3320,f3095]) ).
fof(f3446,plain,
sk1 = join(zero,meet(sk1,sk3)),
inference(paramodulation,[status(thm)],[f31,f3297]) ).
fof(f3447,plain,
sk1 = join(zero,meet(sk1,sk2)),
inference(paramodulation,[status(thm)],[f30,f3297]) ).
fof(f3452,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(paramodulation,[status(thm)],[f37,f3297]) ).
fof(f3488,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f54,f3452]) ).
fof(f3514,plain,
zero = join(zero,zero),
inference(paramodulation,[status(thm)],[f68,f3488]) ).
fof(f3576,plain,
! [X0] : join(zero,join(zero,X0)) = join(X0,zero),
inference(paramodulation,[status(thm)],[f3514,f111]) ).
fof(f3755,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f3262,f3307]) ).
fof(f3763,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f3262,f3307]) ).
fof(f3770,plain,
! [X0,X1] : complement(X0) = join(zero,meet(complement(X0),complement(meet(X1,X0)))),
inference(paramodulation,[status(thm)],[f3307,f3298]) ).
fof(f3787,plain,
! [X0,X1,X2] : join(complement(X0),join(X1,complement(X2))) = join(X1,complement(meet(X0,X2))),
inference(paramodulation,[status(thm)],[f3307,f45]) ).
fof(f4084,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f3262,f3320]) ).
fof(f4106,plain,
! [X0,X1] : complement(X0) = join(zero,complement(join(X0,meet(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f4084,f3770]) ).
fof(f4241,plain,
! [X0] : join(zero,X0) = join(meet(top,X0),zero),
inference(paramodulation,[status(thm)],[f3488,f3576]) ).
fof(f4242,plain,
! [X0] : join(zero,X0) = join(zero,meet(top,X0)),
inference(forward_demodulation,[status(thm)],[f17,f4241]) ).
fof(f4243,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f3488,f4242]) ).
fof(f4374,plain,
! [X0] : X0 = meet(top,X0),
inference(backward_demodulation,[status(thm)],[f4243,f3488]) ).
fof(f4377,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f4243,f3297]) ).
fof(f4419,plain,
sk1 = meet(sk1,sk2),
inference(backward_demodulation,[status(thm)],[f4243,f3447]) ).
fof(f4420,plain,
sk1 = meet(sk1,sk3),
inference(backward_demodulation,[status(thm)],[f4243,f3446]) ).
fof(f4423,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(X0,complement(X1)))),
inference(backward_demodulation,[status(thm)],[f4243,f3341]) ).
fof(f4433,plain,
! [X0,X1] : complement(X0) = complement(join(X0,meet(X1,X0))),
inference(backward_demodulation,[status(thm)],[f4243,f4106]) ).
fof(f5268,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f4433,f3262]) ).
fof(f5269,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3262,f5268]) ).
fof(f5296,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f4374,f5269]) ).
fof(f5313,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f54,f5269]) ).
fof(f5338,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X1,X2)) = join(X2,X1),
inference(paramodulation,[status(thm)],[f5269,f111]) ).
fof(f5339,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),X2)) = join(X2,X0),
inference(forward_demodulation,[status(thm)],[f45,f5338]) ).
fof(f5342,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f5269,f45]) ).
fof(f5452,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f5296,f111]) ).
fof(f5956,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X0,X2)) = join(X2,X0),
inference(paramodulation,[status(thm)],[f5313,f111]) ).
fof(f5957,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),X2)) = join(X2,X0),
inference(forward_demodulation,[status(thm)],[f45,f5956]) ).
fof(f6445,plain,
! [X0,X1] : join(X0,meet(complement(X1),complement(X0))) = join(meet(X1,join(X0,meet(complement(X1),complement(X0)))),complement(X1)),
inference(paramodulation,[status(thm)],[f4423,f3221]) ).
fof(f6446,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(meet(X1,join(X0,meet(complement(X1),complement(X0)))),complement(X1)),
inference(forward_demodulation,[status(thm)],[f4084,f6445]) ).
fof(f6447,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(complement(X1),meet(X1,join(X0,meet(complement(X1),complement(X0))))),
inference(forward_demodulation,[status(thm)],[f17,f6446]) ).
fof(f6448,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(complement(X1),meet(X1,join(X0,complement(join(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f4084,f6447]) ).
fof(f6455,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(join(X0,meet(X1,complement(X0))),X1),
inference(paramodulation,[status(thm)],[f4423,f5269]) ).
fof(f6456,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(X0,join(meet(X1,complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f18,f6455]) ).
fof(f6457,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(X0,join(X1,meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f157,f6456]) ).
fof(f6458,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f5313,f6457]) ).
fof(f6664,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f54,f6458]) ).
fof(f6677,plain,
! [X0,X1] : join(complement(X0),meet(X1,X0)) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f3262,f6458]) ).
fof(f6688,plain,
! [X0,X1] : meet(X0,complement(meet(X1,complement(complement(X0))))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f6458,f3320]) ).
fof(f6689,plain,
! [X0,X1] : meet(X0,join(complement(X1),complement(X0))) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f3763,f6688]) ).
fof(f6690,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f3307,f6689]) ).
fof(f6691,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(X0,complement(X1)),
inference(forward_demodulation,[status(thm)],[f3320,f6690]) ).
fof(f6790,plain,
! [X0,X1] : join(complement(X0),meet(X0,X1)) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f3262,f6664]) ).
fof(f6855,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(complement(X1),join(X0,complement(join(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f6790,f6448]) ).
fof(f6856,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(X0,complement(meet(X1,join(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f3787,f6855]) ).
fof(f6857,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(X0,complement(X1)),
inference(forward_demodulation,[status(thm)],[f4377,f6856]) ).
fof(f11009,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(X1),X2)) = join(X2,join(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f6677,f111]) ).
fof(f11010,plain,
! [X0,X1,X2] : join(complement(X0),join(meet(X1,X0),X2)) = join(X2,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f45,f11009]) ).
fof(f11013,plain,
! [X0,X1,X2] : join(complement(X0),join(X1,meet(X2,X0))) = join(X1,join(complement(X0),X2)),
inference(paramodulation,[status(thm)],[f6677,f45]) ).
fof(f11027,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,complement(complement(X1))),
inference(paramodulation,[status(thm)],[f3755,f6691]) ).
fof(f11028,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f3262,f11027]) ).
fof(f11197,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f17,f11028]) ).
fof(f11359,plain,
! [X0,X1,X2] : meet(X0,join(X1,complement(X0))) = meet(X0,join(meet(complement(X0),X2),X1)),
inference(paramodulation,[status(thm)],[f5957,f11197]) ).
fof(f11360,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,join(meet(complement(X0),X2),X1)),
inference(forward_demodulation,[status(thm)],[f11028,f11359]) ).
fof(f11374,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f157,f11197]) ).
fof(f11375,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f11197,f11374]) ).
fof(f11795,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f11375]) ).
fof(f13168,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(X0),X2)) = join(X2,join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f6790,f111]) ).
fof(f13169,plain,
! [X0,X1,X2] : join(complement(X0),join(meet(X0,X1),X2)) = join(X2,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f45,f13168]) ).
fof(f13720,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,complement(X0))) = meet(join(X0,X1),X1),
inference(paramodulation,[status(thm)],[f6857,f11028]) ).
fof(f13721,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,complement(X0))) = meet(X1,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f11795,f13720]) ).
fof(f13722,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,complement(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f4377,f13721]) ).
fof(f13900,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(join(meet(X1,X2),X0),complement(X1))) = join(meet(X1,X2),X0),
inference(paramodulation,[status(thm)],[f5957,f13722]) ).
fof(f13901,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(complement(X1),join(meet(X1,X2),X0))) = join(meet(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f11375,f13900]) ).
fof(f13902,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(complement(X1),X2))) = join(meet(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f13169,f13901]) ).
fof(f13903,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(join(meet(X2,X1),X0),complement(X1))) = join(meet(X2,X1),X0),
inference(paramodulation,[status(thm)],[f5339,f13722]) ).
fof(f13904,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(complement(X1),join(meet(X2,X1),X0))) = join(meet(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f11375,f13903]) ).
fof(f13905,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(complement(X1),X2))) = join(meet(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f11010,f13904]) ).
fof(f13906,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f13902,f13905]) ).
fof(f13911,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(join(X0,meet(X2,X1)),complement(X1))) = join(X0,meet(X2,X1)),
inference(paramodulation,[status(thm)],[f5342,f13722]) ).
fof(f13912,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(complement(X1),join(X0,meet(X2,X1)))) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f11375,f13911]) ).
fof(f13913,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(complement(X1),X2))) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f11013,f13912]) ).
fof(f13914,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13902,f13913]) ).
fof(f15339,plain,
! [X0,X1,X2] : meet(X0,X1) = join(meet(X1,X0),meet(X2,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f5269,f13906]) ).
fof(f15347,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X2,X1),join(meet(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f5452,f13906]) ).
fof(f15359,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f5296,f13906]) ).
fof(f15496,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X2),complement(X0))) = meet(X0,meet(X2,X1)),
inference(paramodulation,[status(thm)],[f13906,f11028]) ).
fof(f15497,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f11028,f15496]) ).
fof(f15527,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X1,X0),X2)) = join(X2,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f13906,f5452]) ).
fof(f15528,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f15347,f15527]) ).
fof(f22555,plain,
! [X0,X1,X2] : meet(X0,meet(complement(meet(complement(X0),X1)),X2)) = meet(X0,join(meet(complement(X0),X1),X2)),
inference(paramodulation,[status(thm)],[f6664,f11360]) ).
fof(f22556,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,complement(X1)),X2)) = meet(X0,join(meet(complement(X0),X1),X2)),
inference(forward_demodulation,[status(thm)],[f3755,f22555]) ).
fof(f22557,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,complement(X1)),X2)) = meet(X0,X2),
inference(forward_demodulation,[status(thm)],[f11360,f22556]) ).
fof(f25490,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(paramodulation,[status(thm)],[f3262,f22557]) ).
fof(f25673,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X0,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f15497,f25490]) ).
fof(f25752,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f3221,f25490]) ).
fof(f26092,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X0)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f2515,f25673]) ).
fof(f47219,plain,
! [X0,X1,X2] : meet(X0,X1) = join(meet(X1,X0),meet(meet(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f25752,f15339]) ).
fof(f47306,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X0)) = join(meet(meet(X2,X0),X1),meet(meet(X0,X1),meet(X2,X0))),
inference(paramodulation,[status(thm)],[f25752,f15359]) ).
fof(f47307,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = join(meet(meet(X2,X0),X1),meet(meet(X0,X1),meet(X2,X0))),
inference(forward_demodulation,[status(thm)],[f26092,f47306]) ).
fof(f47308,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f47219,f47307]) ).
fof(f50086,plain,
! [X0,X1,X2] : meet(X0,X1) = join(meet(X0,X1),meet(X1,meet(X2,X0))),
inference(paramodulation,[status(thm)],[f47308,f5313]) ).
fof(f60249,plain,
! [X0] : meet(sk2,X0) = join(meet(sk2,X0),meet(X0,sk1)),
inference(paramodulation,[status(thm)],[f4419,f50086]) ).
fof(f60250,plain,
! [X0] : meet(sk2,X0) = join(meet(sk1,X0),meet(sk2,X0)),
inference(forward_demodulation,[status(thm)],[f13914,f60249]) ).
fof(f60367,plain,
! [X0] : meet(sk2,X0) = join(meet(sk1,X0),meet(X0,sk2)),
inference(paramodulation,[status(thm)],[f15528,f60250]) ).
fof(f61900,plain,
meet(sk2,sk3) = join(sk1,meet(sk3,sk2)),
inference(paramodulation,[status(thm)],[f4420,f60367]) ).
fof(f61901,plain,
meet(sk2,sk3) = join(sk1,meet(sk2,sk3)),
inference(forward_demodulation,[status(thm)],[f15528,f61900]) ).
fof(f61902,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f61901,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL047-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n020.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 21:01:02 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 107.97/14.04 % Refutation found
% 107.97/14.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 107.97/14.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 110.20/14.36 % Elapsed time: 13.963110 seconds
% 110.20/14.36 % CPU time: 109.607437 seconds
% 110.20/14.36 % Total memory used: 754.172 MB
% 110.20/14.36 % Net memory used: 745.354 MB
%------------------------------------------------------------------------------