TSTP Solution File: REL042-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL042-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 08:53:08 EDT 2024
% Result : Unsatisfiable 14.83s 2.51s
% Output : Refutation 14.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 16
% Syntax : Number of formulae : 167 ( 167 unt; 0 def)
% Number of atoms : 167 ( 166 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 179 ( 179 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124526,plain,
$false,
inference(subsumption_resolution,[],[f124525,f18]) ).
fof(f18,axiom,
one != join(composition(converse(sk1),sk1),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f124525,plain,
one = join(composition(converse(sk1),sk1),one),
inference(forward_demodulation,[],[f124524,f1320]) ).
fof(f1320,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1294,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f1294,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f884,f768]) ).
fof(f768,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f738,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f738,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f680,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f680,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3,f4]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f884,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f874]) ).
fof(f874,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f863,f30]) ).
fof(f30,plain,
zero = complement(top),
inference(forward_demodulation,[],[f24,f13]) ).
fof(f24,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f863,plain,
zero = join(zero,complement(top)),
inference(superposition,[],[f781,f860]) ).
fof(f860,plain,
top = join(top,top),
inference(forward_demodulation,[],[f859,f407]) ).
fof(f407,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f374,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f374,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f313,f12]) ).
fof(f313,plain,
! [X0,X1] : join(X0,X1) = converse(converse(join(X1,X0))),
inference(superposition,[],[f8,f268]) ).
fof(f268,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f39,f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f39,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f859,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f858,f806]) ).
fof(f806,plain,
complement(zero) = meet(top,join(top,top)),
inference(superposition,[],[f32,f781]) ).
fof(f32,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f4,f30]) ).
fof(f858,plain,
join(top,top) = join(meet(top,join(top,top)),zero),
inference(forward_demodulation,[],[f857,f65]) ).
fof(f65,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f36,f32]) ).
fof(f36,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f31,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f30]) ).
fof(f857,plain,
join(top,top) = join(meet(join(top,top),top),zero),
inference(forward_demodulation,[],[f848,f30]) ).
fof(f848,plain,
join(top,top) = join(meet(join(top,top),top),complement(top)),
inference(superposition,[],[f680,f829]) ).
fof(f829,plain,
top = join(complement(join(top,top)),top),
inference(forward_demodulation,[],[f827,f8]) ).
fof(f827,plain,
converse(converse(top)) = join(complement(join(top,top)),top),
inference(superposition,[],[f313,f812]) ).
fof(f812,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f811,f35]) ).
fof(f35,plain,
top = join(top,zero),
inference(superposition,[],[f12,f30]) ).
fof(f811,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f807,f1]) ).
fof(f807,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f416,f781]) ).
fof(f416,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f386,f8]) ).
fof(f386,plain,
! [X0] : join(join(zero,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f313,f84]) ).
fof(f84,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f35]) ).
fof(f781,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f780,f95]) ).
fof(f95,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f84,f12]) ).
fof(f780,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f750,f1]) ).
fof(f750,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f680,f73]) ).
fof(f73,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f64,f30]) ).
fof(f64,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f36,f12]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f124524,plain,
join(composition(converse(sk1),sk1),one) = join(one,zero),
inference(forward_demodulation,[],[f124284,f1]) ).
fof(f124284,plain,
join(composition(converse(sk1),sk1),one) = join(zero,one),
inference(superposition,[],[f50579,f45349]) ).
fof(f45349,plain,
zero = meet(complement(one),composition(converse(sk1),sk1)),
inference(forward_demodulation,[],[f45299,f13544]) ).
fof(f13544,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f13495,f8]) ).
fof(f13495,plain,
! [X0,X1] : converse(converse(X0)) = join(meet(X1,X0),X0),
inference(superposition,[],[f313,f13264]) ).
fof(f13264,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f12722,f25]) ).
fof(f25,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f12722,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f12431,f680]) ).
fof(f12431,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f767,f1960]) ).
fof(f1960,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1952,f1858]) ).
fof(f1858,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f1830,f8]) ).
fof(f1830,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f77,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f77,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f1952,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f11,f1898]) ).
fof(f1898,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f1879,f1858]) ).
fof(f1879,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f1858,f158]) ).
fof(f158,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f5,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f767,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f680]) ).
fof(f45299,plain,
meet(complement(one),composition(converse(sk1),sk1)) = join(meet(meet(complement(one),composition(converse(sk1),sk1)),zero),zero),
inference(superposition,[],[f4430,f20617]) ).
fof(f20617,plain,
zero = join(meet(complement(one),composition(converse(sk1),sk1)),zero),
inference(forward_demodulation,[],[f20616,f127]) ).
fof(f127,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f25,f4]) ).
fof(f20616,plain,
zero = join(meet(composition(converse(sk1),sk1),complement(one)),zero),
inference(forward_demodulation,[],[f20615,f3107]) ).
fof(f3107,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f2906,f2458]) ).
fof(f2458,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f2442,f1328]) ).
fof(f1328,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(superposition,[],[f32,f1294]) ).
fof(f2442,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2434,f1316]) ).
fof(f1316,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f1294,f768]) ).
fof(f2434,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f25,f1960]) ).
fof(f2906,plain,
! [X0] : zero = meet(top,meet(zero,X0)),
inference(forward_demodulation,[],[f2905,f2544]) ).
fof(f2544,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f2532,f1]) ).
fof(f2532,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f2500,f12]) ).
fof(f2500,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f86,f2486]) ).
fof(f2486,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1960,f2442]) ).
fof(f86,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f2905,plain,
! [X0] : zero = meet(join(top,complement(X0)),meet(zero,X0)),
inference(forward_demodulation,[],[f2904,f2459]) ).
fof(f2459,plain,
! [X0] : meet(X0,top) = X0,
inference(superposition,[],[f2442,f1327]) ).
fof(f1327,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(superposition,[],[f36,f1294]) ).
fof(f2904,plain,
! [X0] : zero = meet(join(meet(top,top),complement(X0)),meet(zero,X0)),
inference(forward_demodulation,[],[f2845,f1320]) ).
fof(f2845,plain,
! [X0] : zero = meet(join(meet(top,top),complement(X0)),meet(join(zero,zero),X0)),
inference(superposition,[],[f28,f45]) ).
fof(f45,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f32,f30]) ).
fof(f28,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f13,f4]) ).
fof(f20615,plain,
meet(zero,complement(one)) = join(meet(composition(converse(sk1),sk1),complement(one)),meet(zero,complement(one))),
inference(forward_demodulation,[],[f20614,f127]) ).
fof(f20614,plain,
meet(complement(one),zero) = join(meet(composition(converse(sk1),sk1),complement(one)),meet(complement(one),zero)),
inference(forward_demodulation,[],[f20422,f16729]) ).
fof(f16729,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f16681,f16551]) ).
fof(f16551,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16550,f16426]) ).
fof(f16426,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f16405,f1168]) ).
fof(f1168,plain,
top = converse(top),
inference(forward_demodulation,[],[f1167,f415]) ).
fof(f415,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f385,f8]) ).
fof(f385,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f313,f35]) ).
fof(f1167,plain,
join(zero,top) = converse(top),
inference(forward_demodulation,[],[f1160,f1138]) ).
fof(f1138,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f873,f182]) ).
fof(f182,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f37,f12]) ).
fof(f37,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f873,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f860]) ).
fof(f1160,plain,
join(zero,top) = join(top,converse(top)),
inference(superposition,[],[f561,f1153]) ).
fof(f1153,plain,
top = join(converse(top),top),
inference(forward_demodulation,[],[f1150,f8]) ).
fof(f1150,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f38,f1138]) ).
fof(f38,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f561,plain,
! [X0] : join(top,X0) = join(zero,join(X0,top)),
inference(superposition,[],[f416,f2]) ).
fof(f16405,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(forward_demodulation,[],[f16361,f13544]) ).
fof(f16361,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = join(meet(composition(converse(X0),complement(composition(X0,top))),zero),zero),
inference(superposition,[],[f4430,f16309]) ).
fof(f16309,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(forward_demodulation,[],[f16078,f7425]) ).
fof(f7425,plain,
top = join(complement(sk1),complement(composition(sk1,complement(one)))),
inference(superposition,[],[f4711,f7384]) ).
fof(f7384,plain,
sk1 = meet(sk1,complement(composition(sk1,complement(one)))),
inference(superposition,[],[f2782,f1320]) ).
fof(f2782,plain,
sk1 = join(meet(sk1,complement(composition(sk1,complement(one)))),zero),
inference(superposition,[],[f765,f21]) ).
fof(f21,plain,
zero = meet(sk1,composition(sk1,complement(one))),
inference(superposition,[],[f17,f6]) ).
fof(f17,axiom,
! [X0] : zero = meet(composition(sk1,X0),composition(sk1,complement(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f765,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f680,f4]) ).
fof(f4711,plain,
! [X0,X1] : top = join(complement(meet(X1,X0)),X0),
inference(superposition,[],[f4317,f127]) ).
fof(f4317,plain,
! [X0,X1] : top = join(complement(meet(X0,X1)),X0),
inference(superposition,[],[f3488,f680]) ).
fof(f3488,plain,
! [X0,X1] : top = join(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f3360,f2544]) ).
fof(f3360,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f79,f12]) ).
fof(f79,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f16078,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,join(complement(sk1),complement(composition(sk1,complement(one))))))),zero),
inference(superposition,[],[f585,f21]) ).
fof(f585,plain,
! [X2,X0,X1] : meet(X0,X1) = join(composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1))))),meet(X0,X1)),
inference(superposition,[],[f11,f4]) ).
fof(f16550,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16549,f2532]) ).
fof(f16549,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f16548,f1294]) ).
fof(f16548,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(forward_demodulation,[],[f16527,f1]) ).
fof(f16527,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f7,f16426]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f16681,plain,
! [X0,X1] : zero = composition(X0,composition(X1,complement(composition(top,top)))),
inference(superposition,[],[f16551,f5]) ).
fof(f20422,plain,
meet(complement(one),composition(converse(sk1),zero)) = join(meet(composition(converse(sk1),sk1),complement(one)),meet(complement(one),composition(converse(sk1),zero))),
inference(superposition,[],[f958,f21]) ).
fof(f958,plain,
! [X2,X0,X1] : meet(X1,composition(converse(X0),meet(X2,composition(X0,X1)))) = join(meet(composition(converse(X0),X2),X1),meet(X1,composition(converse(X0),meet(X2,composition(X0,X1))))),
inference(superposition,[],[f845,f8]) ).
fof(f845,plain,
! [X2,X0,X1] : meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),
inference(forward_demodulation,[],[f15,f127]) ).
fof(f15,axiom,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1_15) ).
fof(f4430,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),zero) = X0,
inference(forward_demodulation,[],[f4372,f30]) ).
fof(f4372,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(top)) = X0,
inference(superposition,[],[f680,f3488]) ).
fof(f50579,plain,
! [X0,X1] : join(X0,X1) = join(meet(complement(X1),X0),X1),
inference(superposition,[],[f26540,f127]) ).
fof(f26540,plain,
! [X0,X1] : join(X0,X1) = join(meet(X0,complement(X1)),X1),
inference(superposition,[],[f767,f24454]) ).
fof(f24454,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),X0) = X0,
inference(superposition,[],[f24080,f761]) ).
fof(f761,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f680,f1]) ).
fof(f24080,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f23909,f1]) ).
fof(f23909,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f23908,f2458]) ).
fof(f23908,plain,
! [X0,X1] : join(X0,X1) = join(meet(top,X0),join(X0,X1)),
inference(forward_demodulation,[],[f23907,f19729]) ).
fof(f19729,plain,
! [X0] : meet(X0,composition(top,X0)) = X0,
inference(forward_demodulation,[],[f17921,f17842]) ).
fof(f17842,plain,
! [X0] : composition(top,X0) = composition(top,composition(top,X0)),
inference(superposition,[],[f5,f17791]) ).
fof(f17791,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f17790,f2459]) ).
fof(f17790,plain,
meet(top,top) = composition(top,top),
inference(forward_demodulation,[],[f17789,f45]) ).
fof(f17789,plain,
complement(join(zero,zero)) = composition(top,top),
inference(forward_demodulation,[],[f17711,f2458]) ).
fof(f17711,plain,
complement(join(zero,zero)) = meet(top,composition(top,top)),
inference(superposition,[],[f32,f16682]) ).
fof(f16682,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f16551,f1898]) ).
fof(f17921,plain,
! [X0] : meet(X0,composition(top,composition(top,X0))) = X0,
inference(forward_demodulation,[],[f17920,f13265]) ).
fof(f13265,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f12722,f4]) ).
fof(f17920,plain,
! [X0] : meet(X0,composition(top,composition(top,X0))) = join(X0,meet(X0,composition(top,composition(top,X0)))),
inference(forward_demodulation,[],[f17919,f2458]) ).
fof(f17919,plain,
! [X0] : meet(X0,composition(top,composition(top,X0))) = join(meet(top,X0),meet(X0,composition(top,composition(top,X0)))),
inference(forward_demodulation,[],[f17918,f1168]) ).
fof(f17918,plain,
! [X0] : meet(X0,composition(top,composition(converse(top),X0))) = join(meet(top,X0),meet(X0,composition(top,composition(converse(top),X0)))),
inference(forward_demodulation,[],[f17862,f2458]) ).
fof(f17862,plain,
! [X0] : meet(X0,composition(top,meet(top,composition(converse(top),X0)))) = join(meet(top,X0),meet(X0,composition(top,meet(top,composition(converse(top),X0))))),
inference(superposition,[],[f845,f17791]) ).
fof(f23907,plain,
! [X0,X1] : join(meet(X0,composition(top,X0)),X1) = join(meet(top,X0),join(meet(X0,composition(top,X0)),X1)),
inference(forward_demodulation,[],[f23906,f17842]) ).
fof(f23906,plain,
! [X0,X1] : join(meet(X0,composition(top,composition(top,X0))),X1) = join(meet(top,X0),join(meet(X0,composition(top,composition(top,X0))),X1)),
inference(forward_demodulation,[],[f23905,f1168]) ).
fof(f23905,plain,
! [X0,X1] : join(meet(X0,composition(top,composition(converse(top),X0))),X1) = join(meet(top,X0),join(meet(X0,composition(top,composition(converse(top),X0))),X1)),
inference(forward_demodulation,[],[f23711,f2458]) ).
fof(f23711,plain,
! [X0,X1] : join(meet(X0,composition(top,meet(top,composition(converse(top),X0)))),X1) = join(meet(top,X0),join(meet(X0,composition(top,meet(top,composition(converse(top),X0)))),X1)),
inference(superposition,[],[f972,f17791]) ).
fof(f972,plain,
! [X2,X3,X0,X1] : join(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),X3) = join(meet(composition(X0,X1),X2),join(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),X3)),
inference(superposition,[],[f2,f845]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL042-2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.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 : Fri May 3 15:39:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (9876)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (9879)WARNING: value z3 for option sas not known
% 0.14/0.38 % (9877)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (9881)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (9878)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (9879)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (9882)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (9883)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (9880)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.47 TRYING [4]
% 1.23/0.52 TRYING [4]
% 2.43/0.71 TRYING [5]
% 6.52/1.31 TRYING [5]
% 7.81/1.48 TRYING [1]
% 7.81/1.48 TRYING [2]
% 7.81/1.48 TRYING [3]
% 7.81/1.52 TRYING [4]
% 8.59/1.60 TRYING [6]
% 9.33/1.69 TRYING [5]
% 14.47/2.43 TRYING [6]
% 14.83/2.50 % (9879)First to succeed.
% 14.83/2.50 % (9879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9876"
% 14.83/2.51 % (9879)Refutation found. Thanks to Tanya!
% 14.83/2.51 % SZS status Unsatisfiable for theBenchmark
% 14.83/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 14.83/2.51 % (9879)------------------------------
% 14.83/2.51 % (9879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 14.83/2.51 % (9879)Termination reason: Refutation
% 14.83/2.51
% 14.83/2.51 % (9879)Memory used [KB]: 34502
% 14.83/2.51 % (9879)Time elapsed: 2.128 s
% 14.83/2.51 % (9879)Instructions burned: 7301 (million)
% 14.83/2.51 % (9876)Success in time 2.118 s
%------------------------------------------------------------------------------