TSTP Solution File: REL005-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL005-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:37:19 EDT 2024
% Result : Unsatisfiable 46.68s 6.28s
% Output : CNFRefutation 48.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 12
% Syntax : Number of formulae : 150 ( 150 unt; 0 def)
% Number of atoms : 150 ( 149 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 254 ( 254 !; 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(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(f14,negated_conjecture,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
file('/export/starexec/sandbox/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(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
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,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f30,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f25]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f29]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f31]) ).
fof(f33,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f34,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f35,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f38,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f39,plain,
! [X0,X1,X2] : join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f18,f30]) ).
fof(f40,plain,
! [X0,X1,X2] : join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f39]) ).
fof(f42,plain,
! [X0,X1] : join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(paramodulation,[status(thm)],[f24,f30]) ).
fof(f43,plain,
! [X0,X1] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(forward_demodulation,[status(thm)],[f22,f42]) ).
fof(f78,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f32]) ).
fof(f79,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f15,f78]) ).
fof(f80,plain,
! [X0,X1] : X0 = join(meet(X0,composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f30,f32]) ).
fof(f81,plain,
! [X0,X1] : X0 = join(complement(complement(X0)),meet(X0,composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f15,f80]) ).
fof(f243,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f38]) ).
fof(f244,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f243]) ).
fof(f254,plain,
! [X0,X1] : meet(top,X0) = complement(join(meet(X1,complement(X1)),complement(X0))),
inference(paramodulation,[status(thm)],[f26,f33]) ).
fof(f255,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f27,f254]) ).
fof(f260,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f261,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f27,f260]) ).
fof(f262,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f26,f32]) ).
fof(f263,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f262]) ).
fof(f264,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f261,f263]) ).
fof(f313,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f244]) ).
fof(f321,plain,
! [X0,X1] : join(meet(X0,X1),composition(converse(converse(one)),complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f244,f40]) ).
fof(f322,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f321]) ).
fof(f323,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,meet(X0,X1))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f322]) ).
fof(f334,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,composition(converse(converse(one)),complement(X0)))),
inference(paramodulation,[status(thm)],[f244,f81]) ).
fof(f335,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,composition(one,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f22,f334]) ).
fof(f338,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f313,f244]) ).
fof(f339,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f338,f323]) ).
fof(f342,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(backward_demodulation,[status(thm)],[f338,f335]) ).
fof(f343,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f27,f342]) ).
fof(f344,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f343]) ).
fof(f407,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f18,f344]) ).
fof(f497,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f498,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f497]) ).
fof(f499,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f32]) ).
fof(f528,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f498,f79]) ).
fof(f551,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f498,f528]) ).
fof(f557,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f27,f528]) ).
fof(f558,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f15,f557]) ).
fof(f559,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f498,f558]) ).
fof(f560,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f264,f559]) ).
fof(f573,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f560,f344]) ).
fof(f592,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f573,f407]) ).
fof(f603,plain,
! [X0] : meet(top,X0) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f573,f255]) ).
fof(f604,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[status(thm)],[f560,f603]) ).
fof(f616,plain,
! [X0,X1,X2] : meet(complement(meet(X0,X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(backward_demodulation,[status(thm)],[f592,f33]) ).
fof(f617,plain,
! [X0,X1,X2] : meet(X0,complement(meet(X1,X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(backward_demodulation,[status(thm)],[f592,f34]) ).
fof(f665,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f666,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f16,f665]) ).
fof(f749,plain,
! [X0] : meet(X0,top) = X0,
inference(paramodulation,[status(thm)],[f498,f604]) ).
fof(f966,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f560,f592]) ).
fof(f990,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f604,f339]) ).
fof(f991,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f604,f990]) ).
fof(f992,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f604,f991]) ).
fof(f1041,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f992,f16]) ).
fof(f1149,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(paramodulation,[status(thm)],[f32,f499]) ).
fof(f1150,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f15,f1149]) ).
fof(f1151,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f498,f1150]) ).
fof(f1187,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f551,f1041]) ).
fof(f1188,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f15,f1187]) ).
fof(f1189,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f551,f1188]) ).
fof(f1227,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f26,f1041]) ).
fof(f1228,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f26,f1227]) ).
fof(f1229,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f15,f1041]) ).
fof(f1268,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f15,f1228]) ).
fof(f1323,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(paramodulation,[status(thm)],[f1268,f36]) ).
fof(f1371,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f1228,f1323]) ).
fof(f1482,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),X1) = join(complement(join(X0,complement(X1))),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f499,f1229]) ).
fof(f1483,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = join(complement(join(X1,complement(X0))),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f1482]) ).
fof(f1484,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f1483]) ).
fof(f1485,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f499,f1484]) ).
fof(f1530,plain,
! [X0,X1] : complement(meet(X0,join(X1,complement(complement(X0))))) = complement(X0),
inference(paramodulation,[status(thm)],[f592,f1485]) ).
fof(f1531,plain,
! [X0,X1] : complement(meet(X0,join(X1,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f560,f1530]) ).
fof(f1768,plain,
! [X0,X1] : complement(complement(X0)) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f1531,f560]) ).
fof(f1769,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f560,f1768]) ).
fof(f1813,plain,
! [X0,X1,X2] : X0 = meet(X0,join(X1,join(X2,X0))),
inference(paramodulation,[status(thm)],[f16,f1769]) ).
fof(f1835,plain,
! [X0,X1] : converse(X0) = meet(converse(X0),converse(join(X1,X0))),
inference(paramodulation,[status(thm)],[f23,f1769]) ).
fof(f1850,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f1769]) ).
fof(f1938,plain,
! [X0,X1] : meet(complement(meet(top,X0)),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f604,f616]) ).
fof(f1939,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f604,f1938]) ).
fof(f2035,plain,
! [X0,X1] : meet(X0,complement(meet(top,X1))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f604,f617]) ).
fof(f2036,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f604,f2035]) ).
fof(f2283,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X2,X1)),
inference(paramodulation,[status(thm)],[f1189,f1813]) ).
fof(f2317,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f2283,f1151]) ).
fof(f2654,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f560,f1939]) ).
fof(f3155,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(paramodulation,[status(thm)],[f2654,f2317]) ).
fof(f3156,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f592,f3155]) ).
fof(f3157,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f966,f3156]) ).
fof(f3158,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f592,f3157]) ).
fof(f3159,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f966,f3158]) ).
fof(f3170,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = join(complement(X0),X0),
inference(paramodulation,[status(thm)],[f1850,f2317]) ).
fof(f3171,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(complement(X0),X0),
inference(forward_demodulation,[status(thm)],[f666,f3170]) ).
fof(f3172,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f15,f3171]) ).
fof(f3173,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(forward_demodulation,[status(thm)],[f26,f3172]) ).
fof(f3264,plain,
! [X0,X1] : converse(top) = join(X0,converse(join(complement(converse(X0)),X1))),
inference(paramodulation,[status(thm)],[f3173,f35]) ).
fof(f3265,plain,
! [X0,X1] : top = join(X0,converse(join(complement(converse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f1371,f3264]) ).
fof(f3361,plain,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(meet(X0,X1)),converse(X1)),
inference(paramodulation,[status(thm)],[f1189,f1835]) ).
fof(f3362,plain,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X1),converse(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f498,f3361]) ).
fof(f4350,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f3159,f1939]) ).
fof(f4351,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),X1),
inference(forward_demodulation,[status(thm)],[f1939,f4350]) ).
fof(f8275,plain,
! [X0,X1] : meet(complement(X0),top) = meet(complement(X0),converse(join(complement(converse(X0)),X1))),
inference(paramodulation,[status(thm)],[f3265,f4351]) ).
fof(f8276,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),converse(join(complement(converse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f749,f8275]) ).
fof(f29593,plain,
! [X0] : complement(X0) = meet(complement(X0),converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f43,f8276]) ).
fof(f29827,plain,
! [X0] : complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(paramodulation,[status(thm)],[f22,f29593]) ).
fof(f29885,plain,
! [X0] : converse(meet(complement(X0),converse(complement(converse(X0))))) = meet(converse(converse(complement(converse(X0)))),converse(complement(X0))),
inference(paramodulation,[status(thm)],[f29593,f3362]) ).
fof(f29886,plain,
! [X0] : converse(complement(X0)) = meet(converse(converse(complement(converse(X0)))),converse(complement(X0))),
inference(forward_demodulation,[status(thm)],[f29593,f29885]) ).
fof(f29887,plain,
! [X0] : converse(complement(X0)) = meet(converse(complement(X0)),converse(converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f498,f29886]) ).
fof(f29888,plain,
! [X0] : converse(complement(X0)) = meet(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f22,f29887]) ).
fof(f29889,plain,
! [X0] : converse(complement(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[status(thm)],[f498,f29888]) ).
fof(f29890,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(forward_demodulation,[status(thm)],[f29827,f29889]) ).
fof(f30351,plain,
! [X0,X1] : converse(meet(X0,complement(X1))) = complement(converse(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f2036,f29890]) ).
fof(f30451,plain,
! [X0,X1] : converse(join(X0,complement(converse(X1)))) = join(converse(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f29890,f36]) ).
fof(f60037,plain,
! [X0,X1] : converse(meet(X0,complement(complement(converse(X1))))) = complement(join(converse(complement(X0)),complement(X1))),
inference(paramodulation,[status(thm)],[f30451,f30351]) ).
fof(f60038,plain,
! [X0,X1] : converse(meet(X0,converse(X1))) = complement(join(converse(complement(X0)),complement(X1))),
inference(forward_demodulation,[status(thm)],[f560,f60037]) ).
fof(f60039,plain,
! [X0,X1] : converse(meet(X0,converse(X1))) = meet(complement(converse(complement(X0))),X1),
inference(forward_demodulation,[status(thm)],[f1939,f60038]) ).
fof(f60040,plain,
! [X0,X1] : converse(meet(X0,converse(X1))) = meet(complement(complement(converse(X0))),X1),
inference(forward_demodulation,[status(thm)],[f29890,f60039]) ).
fof(f60041,plain,
! [X0,X1] : converse(meet(X0,converse(X1))) = meet(converse(X0),X1),
inference(forward_demodulation,[status(thm)],[f560,f60040]) ).
fof(f60320,plain,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
inference(paramodulation,[status(thm)],[f22,f60041]) ).
fof(f60494,plain,
converse(meet(sk1,sk2)) != converse(meet(sk1,sk2)),
inference(backward_demodulation,[status(thm)],[f60320,f28]) ).
fof(f60495,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f60494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : REL005-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n009.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
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 21:00:26 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 46.68/6.28 % Refutation found
% 46.68/6.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.68/6.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 48.05/6.48 % Elapsed time: 6.124338 seconds
% 48.05/6.48 % CPU time: 48.097376 seconds
% 48.05/6.48 % Total memory used: 830.939 MB
% 48.05/6.48 % Net memory used: 820.277 MB
%------------------------------------------------------------------------------