TSTP Solution File: REL050+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL050+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Thu Aug 31 13:46:17 EDT 2023
% Result : Theorem 1.45s 0.61s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 18
% Syntax : Number of formulae : 169 ( 168 unt; 0 def)
% Number of atoms : 170 ( 169 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 149 (; 147 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8713,plain,
$false,
inference(trivial_inequality_removal,[],[f8602]) ).
fof(f8602,plain,
sF2 != sF2,
inference(backward_demodulation,[],[f46,f8600]) ).
fof(f8600,plain,
sF2 = sF3,
inference(forward_demodulation,[],[f8592,f44]) ).
fof(f44,plain,
complement(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f8592,plain,
complement(sF1) = sF3,
inference(superposition,[],[f3488,f8534]) ).
fof(f8534,plain,
sF1 = complement(sF3),
inference(forward_demodulation,[],[f8532,f3593]) ).
fof(f3593,plain,
! [X13] : join(X13,X13) = X13,
inference(superposition,[],[f2335,f3488]) ).
fof(f2335,plain,
! [X22] : complement(X22) = join(complement(X22),complement(X22)),
inference(forward_demodulation,[],[f2334,f252]) ).
fof(f252,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f239,f247]) ).
fof(f247,plain,
one = converse(one),
inference(superposition,[],[f239,f24]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',composition_identity) ).
fof(f239,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f221,f23]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',converse_idempotence) ).
fof(f221,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f91,f24]) ).
fof(f91,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f29,f23]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',converse_multiplicativity) ).
fof(f2334,plain,
! [X22] : complement(X22) = join(complement(X22),complement(composition(one,X22))),
inference(forward_demodulation,[],[f2301,f252]) ).
fof(f2301,plain,
! [X22] : complement(X22) = join(complement(X22),composition(one,complement(composition(one,X22)))),
inference(superposition,[],[f48,f247]) ).
fof(f48,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f31,f27]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',maddux1_join_commutativity) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',converse_cancellativity) ).
fof(f8532,plain,
join(sF1,sF1) = complement(sF3),
inference(backward_demodulation,[],[f6303,f8530]) ).
fof(f8530,plain,
! [X3] : join(X3,sF1) = join(X3,complement(sF3)),
inference(forward_demodulation,[],[f8527,f6363]) ).
fof(f6363,plain,
! [X3] : join(X3,complement(sF3)) = join(sF1,join(X3,complement(sF3))),
inference(superposition,[],[f383,f6303]) ).
fof(f383,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f363,f33]) ).
fof(f33,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',maddux2_join_associativity) ).
fof(f363,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f33,f27]) ).
fof(f8527,plain,
! [X3] : join(X3,sF1) = join(sF1,join(X3,complement(sF3))),
inference(backward_demodulation,[],[f5385,f8526]) ).
fof(f8526,plain,
complement(sF3) = composition(complement(sF3),top),
inference(backward_demodulation,[],[f6170,f8525]) ).
fof(f8525,plain,
! [X35] : composition(X35,top) = join(X35,composition(X35,top)),
inference(forward_demodulation,[],[f8524,f2557]) ).
fof(f2557,plain,
top = converse(top),
inference(forward_demodulation,[],[f2475,f2528]) ).
fof(f2528,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f426,f2450]) ).
fof(f2450,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f2426,f27]) ).
fof(f2426,plain,
! [X6] : top = join(X6,top),
inference(backward_demodulation,[],[f425,f2425]) ).
fof(f2425,plain,
! [X47] : top = join(top,complement(X47)),
inference(forward_demodulation,[],[f2424,f26]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',def_top) ).
fof(f2424,plain,
! [X47] : join(top,complement(X47)) = join(X47,complement(X47)),
inference(backward_demodulation,[],[f2231,f2409]) ).
fof(f2409,plain,
! [X1] : complement(X1) = composition(complement(X1),join(one,one)),
inference(superposition,[],[f2335,f2175]) ).
fof(f2175,plain,
! [X3] : join(X3,X3) = composition(X3,join(one,one)),
inference(forward_demodulation,[],[f2174,f247]) ).
fof(f2174,plain,
! [X3] : join(X3,X3) = composition(X3,join(one,converse(one))),
inference(forward_demodulation,[],[f2173,f265]) ).
fof(f265,plain,
! [X1] : converse(join(X1,one)) = join(one,converse(X1)),
inference(forward_demodulation,[],[f257,f27]) ).
fof(f257,plain,
! [X1] : converse(join(X1,one)) = join(converse(X1),one),
inference(superposition,[],[f28,f247]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',converse_additivity) ).
fof(f2173,plain,
! [X3] : join(X3,X3) = composition(X3,converse(join(one,one))),
inference(forward_demodulation,[],[f2172,f23]) ).
fof(f2172,plain,
! [X3] : composition(X3,converse(join(one,one))) = join(X3,converse(converse(X3))),
inference(forward_demodulation,[],[f2136,f54]) ).
fof(f54,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f28,f23]) ).
fof(f2136,plain,
! [X3] : composition(X3,converse(join(one,one))) = converse(join(converse(X3),converse(X3))),
inference(superposition,[],[f88,f2073]) ).
fof(f2073,plain,
! [X16] : composition(join(one,one),X16) = join(X16,X16),
inference(superposition,[],[f1730,f252]) ).
fof(f1730,plain,
! [X6,X7] : composition(join(one,X7),X6) = join(X6,composition(X7,X6)),
inference(superposition,[],[f35,f252]) ).
fof(f35,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',composition_distributivity) ).
fof(f88,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[],[f29,f23]) ).
fof(f2231,plain,
! [X47] : join(top,complement(X47)) = join(X47,composition(complement(X47),join(one,one))),
inference(superposition,[],[f422,f2175]) ).
fof(f422,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f362,f27]) ).
fof(f362,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f33,f26]) ).
fof(f425,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f362,f26]) ).
fof(f426,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f362,f103]) ).
fof(f103,plain,
! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
inference(superposition,[],[f54,f26]) ).
fof(f2475,plain,
converse(top) = join(one,converse(top)),
inference(superposition,[],[f256,f2426]) ).
fof(f256,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f28,f247]) ).
fof(f8524,plain,
! [X35] : composition(X35,converse(top)) = join(X35,composition(X35,converse(top))),
inference(forward_demodulation,[],[f8498,f88]) ).
fof(f8498,plain,
! [X35] : converse(composition(top,converse(X35))) = join(X35,converse(composition(top,converse(X35)))),
inference(superposition,[],[f54,f2474]) ).
fof(f2474,plain,
! [X33] : composition(top,X33) = join(X33,composition(top,X33)),
inference(superposition,[],[f1730,f2426]) ).
fof(f6170,plain,
complement(sF3) = join(complement(sF3),composition(complement(sF3),top)),
inference(forward_demodulation,[],[f6169,f23]) ).
fof(f6169,plain,
complement(sF3) = join(complement(sF3),composition(converse(converse(complement(sF3))),top)),
inference(forward_demodulation,[],[f6142,f3584]) ).
fof(f3584,plain,
top = complement(zero),
inference(superposition,[],[f3488,f47]) ).
fof(f47,plain,
zero = complement(top),
inference(backward_demodulation,[],[f39,f26]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f25,f30]) ).
fof(f30,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',maddux4_definiton_of_meet) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',def_zero) ).
fof(f6142,plain,
complement(sF3) = join(complement(sF3),composition(converse(converse(complement(sF3))),complement(zero))),
inference(superposition,[],[f48,f6052]) ).
fof(f6052,plain,
zero = composition(converse(complement(sF3)),sF3),
inference(forward_demodulation,[],[f6026,f4202]) ).
fof(f4202,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f4184,f47]) ).
fof(f4184,plain,
complement(top) = converse(zero),
inference(superposition,[],[f3488,f4028]) ).
fof(f4028,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f4016,f2557]) ).
fof(f4016,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f23,f3904]) ).
fof(f3904,plain,
top = converse(complement(converse(zero))),
inference(superposition,[],[f3853,f2558]) ).
fof(f2558,plain,
! [X2] : top = join(X2,converse(complement(converse(X2)))),
inference(backward_demodulation,[],[f103,f2557]) ).
fof(f3853,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f3453,f3488]) ).
fof(f3453,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f2847,f2834]) ).
fof(f2834,plain,
! [X2] : join(zero,complement(complement(X2))) = X2,
inference(forward_demodulation,[],[f2833,f47]) ).
fof(f2833,plain,
! [X2] : join(complement(top),complement(complement(X2))) = X2,
inference(forward_demodulation,[],[f2832,f27]) ).
fof(f2832,plain,
! [X2] : join(complement(complement(X2)),complement(top)) = X2,
inference(forward_demodulation,[],[f2793,f26]) ).
fof(f2793,plain,
! [X2] : join(complement(complement(X2)),complement(join(complement(X2),complement(complement(X2))))) = X2,
inference(superposition,[],[f49,f2335]) ).
fof(f49,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f32,f27]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',maddux3_a_kind_of_de_Morgan) ).
fof(f2847,plain,
! [X42] : join(zero,complement(join(zero,complement(X42)))) = X42,
inference(forward_demodulation,[],[f2846,f27]) ).
fof(f2846,plain,
! [X42] : join(zero,complement(join(complement(X42),zero))) = X42,
inference(forward_demodulation,[],[f2811,f47]) ).
fof(f2811,plain,
! [X42] : join(complement(top),complement(join(complement(X42),complement(top)))) = X42,
inference(superposition,[],[f49,f2426]) ).
fof(f6026,plain,
converse(zero) = composition(converse(complement(sF3)),sF3),
inference(superposition,[],[f91,f5703]) ).
fof(f5703,plain,
zero = composition(converse(sF3),complement(sF3)),
inference(superposition,[],[f3875,f5636]) ).
fof(f5636,plain,
sF3 = composition(sF3,top),
inference(forward_demodulation,[],[f5626,f45]) ).
fof(f45,plain,
composition(sF2,top) = sF3,
introduced(function_definition,[]) ).
fof(f5626,plain,
composition(sF2,top) = composition(sF3,top),
inference(superposition,[],[f644,f5487]) ).
fof(f5487,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f5486,f3853]) ).
fof(f5486,plain,
top = join(zero,composition(top,top)),
inference(forward_demodulation,[],[f5451,f27]) ).
fof(f5451,plain,
top = join(composition(top,top),zero),
inference(superposition,[],[f26,f5442]) ).
fof(f5442,plain,
zero = complement(composition(top,top)),
inference(forward_demodulation,[],[f5441,f5415]) ).
fof(f5415,plain,
! [X1] : zero = composition(X1,complement(composition(top,top))),
inference(forward_demodulation,[],[f5414,f4889]) ).
fof(f4889,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f3875,f2557]) ).
fof(f5414,plain,
! [X1] : composition(top,complement(composition(top,top))) = composition(X1,complement(composition(top,top))),
inference(forward_demodulation,[],[f5413,f2426]) ).
fof(f5413,plain,
! [X1] : composition(join(X1,top),complement(composition(top,top))) = composition(X1,complement(composition(top,top))),
inference(forward_demodulation,[],[f5412,f3853]) ).
fof(f5412,plain,
! [X1] : composition(join(X1,top),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
inference(forward_demodulation,[],[f5402,f27]) ).
fof(f5402,plain,
! [X1] : composition(join(X1,top),complement(composition(top,top))) = join(composition(X1,complement(composition(top,top))),zero),
inference(superposition,[],[f35,f4889]) ).
fof(f5441,plain,
complement(composition(top,top)) = composition(join(one,top),complement(composition(top,top))),
inference(forward_demodulation,[],[f5440,f3853]) ).
fof(f5440,plain,
composition(join(one,top),complement(composition(top,top))) = join(zero,complement(composition(top,top))),
inference(forward_demodulation,[],[f5408,f27]) ).
fof(f5408,plain,
composition(join(one,top),complement(composition(top,top))) = join(complement(composition(top,top)),zero),
inference(superposition,[],[f1730,f4889]) ).
fof(f644,plain,
! [X12] : composition(sF2,composition(top,X12)) = composition(sF3,X12),
inference(superposition,[],[f34,f45]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',composition_associativity) ).
fof(f3875,plain,
! [X1] : zero = composition(converse(X1),complement(composition(X1,top))),
inference(backward_demodulation,[],[f2292,f3853]) ).
fof(f2292,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(superposition,[],[f48,f47]) ).
fof(f5385,plain,
! [X3] : join(X3,sF1) = join(sF1,join(X3,composition(complement(sF3),top))),
inference(superposition,[],[f383,f5371]) ).
fof(f5371,plain,
sF1 = join(sF1,composition(complement(sF3),top)),
inference(forward_demodulation,[],[f5370,f3486]) ).
fof(f3486,plain,
sF1 = complement(sF2),
inference(backward_demodulation,[],[f2975,f3453]) ).
fof(f2975,plain,
sF1 = join(zero,complement(sF2)),
inference(superposition,[],[f2834,f44]) ).
fof(f5370,plain,
complement(sF2) = join(complement(sF2),composition(complement(sF3),top)),
inference(forward_demodulation,[],[f5369,f23]) ).
fof(f5369,plain,
complement(sF2) = join(complement(sF2),composition(converse(converse(complement(sF3))),top)),
inference(forward_demodulation,[],[f5336,f3584]) ).
fof(f5336,plain,
complement(sF2) = join(complement(sF2),composition(converse(converse(complement(sF3))),complement(zero))),
inference(superposition,[],[f48,f5299]) ).
fof(f5299,plain,
zero = composition(converse(complement(sF3)),sF2),
inference(forward_demodulation,[],[f5273,f4202]) ).
fof(f5273,plain,
converse(zero) = composition(converse(complement(sF3)),sF2),
inference(superposition,[],[f91,f4901]) ).
fof(f4901,plain,
zero = composition(converse(sF2),complement(sF3)),
inference(superposition,[],[f3875,f45]) ).
fof(f6303,plain,
complement(sF3) = join(sF1,complement(sF3)),
inference(forward_demodulation,[],[f6302,f27]) ).
fof(f6302,plain,
complement(sF3) = join(complement(sF3),sF1),
inference(forward_demodulation,[],[f6301,f43]) ).
fof(f43,plain,
composition(sK0,top) = sF1,
introduced(function_definition,[]) ).
fof(f6301,plain,
complement(sF3) = join(complement(sF3),composition(sK0,top)),
inference(forward_demodulation,[],[f6300,f23]) ).
fof(f6300,plain,
complement(sF3) = join(complement(sF3),composition(converse(converse(sK0)),top)),
inference(forward_demodulation,[],[f6273,f3584]) ).
fof(f6273,plain,
complement(sF3) = join(complement(sF3),composition(converse(converse(sK0)),complement(zero))),
inference(superposition,[],[f48,f6200]) ).
fof(f6200,plain,
zero = composition(converse(sK0),sF3),
inference(superposition,[],[f5072,f45]) ).
fof(f5072,plain,
! [X1] : zero = composition(converse(sK0),composition(sF2,X1)),
inference(backward_demodulation,[],[f4536,f5063]) ).
fof(f5063,plain,
! [X4] : zero = composition(zero,X4),
inference(forward_demodulation,[],[f4990,f4202]) ).
fof(f4990,plain,
! [X4] : converse(zero) = composition(converse(zero),X4),
inference(superposition,[],[f91,f4918]) ).
fof(f4918,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f4917,f3853]) ).
fof(f4917,plain,
! [X0] : zero = join(zero,composition(converse(X0),zero)),
inference(forward_demodulation,[],[f4916,f1730]) ).
fof(f4916,plain,
! [X0] : zero = composition(join(one,converse(X0)),zero),
inference(forward_demodulation,[],[f4915,f47]) ).
fof(f4915,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(top)),
inference(forward_demodulation,[],[f4914,f2450]) ).
fof(f4914,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))),
inference(forward_demodulation,[],[f4879,f1730]) ).
fof(f4879,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(composition(join(one,X0),top))),
inference(superposition,[],[f3875,f256]) ).
fof(f4536,plain,
! [X1] : composition(zero,X1) = composition(converse(sK0),composition(sF2,X1)),
inference(superposition,[],[f34,f4410]) ).
fof(f4410,plain,
zero = composition(converse(sK0),sF2),
inference(superposition,[],[f3874,f3889]) ).
fof(f3889,plain,
! [X1] : join(X1,zero) = X1,
inference(superposition,[],[f3853,f27]) ).
fof(f3874,plain,
! [X0] : join(composition(converse(sK0),sF2),X0) = X0,
inference(backward_demodulation,[],[f3506,f3853]) ).
fof(f3506,plain,
! [X0] : join(zero,X0) = join(composition(converse(sK0),sF2),X0),
inference(backward_demodulation,[],[f2364,f3490]) ).
fof(f3490,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(X2,X3)),
inference(backward_demodulation,[],[f2977,f3488]) ).
fof(f2977,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(complement(complement(X2)),X3)),
inference(superposition,[],[f33,f2834]) ).
fof(f2364,plain,
! [X0] : join(zero,X0) = join(zero,join(composition(converse(sK0),sF2),X0)),
inference(superposition,[],[f33,f2348]) ).
fof(f2348,plain,
zero = join(zero,composition(converse(sK0),sF2)),
inference(forward_demodulation,[],[f2347,f47]) ).
fof(f2347,plain,
complement(top) = join(complement(top),composition(converse(sK0),sF2)),
inference(forward_demodulation,[],[f2316,f44]) ).
fof(f2316,plain,
complement(top) = join(complement(top),composition(converse(sK0),complement(sF1))),
inference(superposition,[],[f48,f43]) ).
fof(f3488,plain,
! [X42] : complement(complement(X42)) = X42,
inference(forward_demodulation,[],[f3469,f3453]) ).
fof(f3469,plain,
! [X42] : join(zero,complement(complement(X42))) = X42,
inference(backward_demodulation,[],[f2847,f3453]) ).
fof(f46,plain,
sF2 != sF3,
inference(definition_folding,[],[f22,f45,f44,f43,f44,f43]) ).
fof(f22,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f20,plain,
( ? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top)
=> complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
file('/export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL050+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 19:22:57 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.fF6uhPCeC2/Vampire---4.8_19192
% 0.15/0.35 % (19300)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (19304)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.41 % (19306)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.41 % (19307)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.41 % (19305)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.41 % (19302)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.41 % (19301)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42 % (19305)Refutation not found, incomplete strategy% (19305)------------------------------
% 0.21/0.42 % (19305)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (19305)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (19305)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (19305)Memory used [KB]: 895
% 0.21/0.42 % (19305)Time elapsed: 0.004 s
% 0.21/0.42 % (19305)------------------------------
% 0.21/0.42 % (19305)------------------------------
% 0.21/0.42 % (19303)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.47 % (19308)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.21/0.47 % (19308)Refutation not found, incomplete strategy% (19308)------------------------------
% 0.21/0.47 % (19308)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (19308)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (19308)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47 % (19308)Memory used [KB]: 895
% 0.21/0.47 % (19308)Time elapsed: 0.003 s
% 0.21/0.47 % (19308)------------------------------
% 0.21/0.47 % (19308)------------------------------
% 0.21/0.51 % (19309)lrs-11_16_av=off:bs=on:bsr=on:drc=off:fsd=off:fsr=off:nm=4:sp=scramble:tgt=ground:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 1.45/0.61 % (19303)First to succeed.
% 1.45/0.61 % (19303)Refutation found. Thanks to Tanya!
% 1.45/0.61 % SZS status Theorem for Vampire---4
% 1.45/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 1.45/0.61 % (19303)------------------------------
% 1.45/0.61 % (19303)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.45/0.61 % (19303)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.45/0.61 % (19303)Termination reason: Refutation
% 1.45/0.61
% 1.45/0.61 % (19303)Memory used [KB]: 7547
% 1.45/0.61 % (19303)Time elapsed: 0.194 s
% 1.45/0.61 % (19303)------------------------------
% 1.45/0.61 % (19303)------------------------------
% 1.45/0.61 % (19300)Success in time 0.255 s
% 1.45/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------