TSTP Solution File: REL011+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL011+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 : n031.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 14:48:02 EDT 2024
% Result : Theorem 16.51s 3.27s
% Output : Refutation 16.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 17
% Syntax : Number of formulae : 255 ( 250 unt; 0 def)
% Number of atoms : 262 ( 261 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 285 ( 279 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71499,plain,
$false,
inference(trivial_inequality_removal,[],[f71415]) ).
fof(f71415,plain,
zero != zero,
inference(superposition,[],[f23,f71315]) ).
fof(f71315,plain,
zero = meet(composition(sK1,sK0),sK2),
inference(forward_demodulation,[],[f71227,f3456]) ).
fof(f3456,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f3455,f929]) ).
fof(f929,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f183,f28]) ).
fof(f28,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/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f183,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f166,f56]) ).
fof(f56,plain,
zero = complement(top),
inference(forward_demodulation,[],[f51,f27]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f51,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f31,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/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f31,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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f166,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f40,f26]) ).
fof(f40,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f33,f31]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f3455,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f3439,f2554]) ).
fof(f2554,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f52,f31]) ).
fof(f52,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f31,f28]) ).
fof(f3439,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(superposition,[],[f169,f2567]) ).
fof(f2567,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f2551,f56]) ).
fof(f2551,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f52,f26]) ).
fof(f169,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f40,f31]) ).
fof(f71227,plain,
meet(composition(sK1,sK0),sK2) = complement(complement(zero)),
inference(superposition,[],[f3503,f69432]) ).
fof(f69432,plain,
zero = meet(sK2,composition(sK1,sK0)),
inference(forward_demodulation,[],[f67873,f19678]) ).
fof(f19678,plain,
! [X0] : zero = meet(X0,zero),
inference(forward_demodulation,[],[f19657,f3456]) ).
fof(f19657,plain,
! [X0] : meet(X0,zero) = complement(complement(zero)),
inference(superposition,[],[f3503,f19604]) ).
fof(f19604,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f19587,f256]) ).
fof(f256,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f248,f56]) ).
fof(f248,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f182,f246]) ).
fof(f246,plain,
top = join(top,top),
inference(forward_demodulation,[],[f239,f26]) ).
fof(f239,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f217,f28]) ).
fof(f217,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f216,f56]) ).
fof(f216,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f215,f211]) ).
fof(f211,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f210,f75]) ).
fof(f75,plain,
top = join(zero,top),
inference(superposition,[],[f73,f28]) ).
fof(f73,plain,
top = join(top,zero),
inference(superposition,[],[f26,f56]) ).
fof(f210,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f208,f28]) ).
fof(f208,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f77,f182]) ).
fof(f77,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f34,f73]) ).
fof(f34,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/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f215,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f214,f28]) ).
fof(f214,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f40,f206]) ).
fof(f206,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f74,f182]) ).
fof(f74,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f70,f28]) ).
fof(f70,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f31,f56]) ).
fof(f182,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f181,f128]) ).
fof(f128,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f77,f26]) ).
fof(f181,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f159,f28]) ).
fof(f159,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f40,f111]) ).
fof(f111,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f100,f56]) ).
fof(f100,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f74,f26]) ).
fof(f19587,plain,
! [X0] : join(zero,zero) = meet(zero,X0),
inference(superposition,[],[f19489,f18726]) ).
fof(f18726,plain,
! [X0] : zero = meet(meet(zero,X0),top),
inference(forward_demodulation,[],[f18708,f56]) ).
fof(f18708,plain,
! [X0] : complement(top) = meet(meet(zero,X0),top),
inference(superposition,[],[f74,f18482]) ).
fof(f18482,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f17177,f3621]) ).
fof(f3621,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(meet(X0,complement(X1)),X2)),
inference(backward_demodulation,[],[f170,f3493]) ).
fof(f3493,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f31,f3456]) ).
fof(f170,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f34,f40]) ).
fof(f17177,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f2842,f17141]) ).
fof(f17141,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f16759,f16733]) ).
fof(f16733,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[],[f4939,f16729]) ).
fof(f16729,plain,
! [X0,X1] : top = join(top,meet(X1,X0)),
inference(backward_demodulation,[],[f4351,f16728]) ).
fof(f16728,plain,
! [X0,X1] : top = join(meet(X0,X1),top),
inference(forward_demodulation,[],[f16712,f26]) ).
fof(f16712,plain,
! [X0,X1] : top = join(meet(X0,X1),join(meet(X1,meet(X0,X1)),complement(meet(X1,meet(X0,X1))))),
inference(superposition,[],[f62,f2709]) ).
fof(f2709,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[],[f2708,f25]) ).
fof(f25,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f2708,plain,
! [X0,X1] : meet(X1,meet(X0,composition(X1,one))) = join(meet(X0,X1),meet(X1,meet(X0,composition(X1,one)))),
inference(forward_demodulation,[],[f2697,f2554]) ).
fof(f2697,plain,
! [X0,X1] : meet(meet(X0,composition(X1,one)),X1) = join(meet(X0,X1),meet(meet(X0,composition(X1,one)),X1)),
inference(backward_demodulation,[],[f475,f2671]) ).
fof(f2671,plain,
one = converse(one),
inference(superposition,[],[f2416,f25]) ).
fof(f2416,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f2391,f24]) ).
fof(f24,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f2391,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f48,f25]) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f24]) ).
fof(f30,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/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f475,plain,
! [X0,X1] : meet(meet(X0,composition(X1,converse(one))),X1) = join(meet(X0,X1),meet(meet(X0,composition(X1,converse(one))),X1)),
inference(forward_demodulation,[],[f462,f25]) ).
fof(f462,plain,
! [X0,X1] : meet(composition(meet(X0,composition(X1,converse(one))),one),X1) = join(meet(X0,X1),meet(composition(meet(X0,composition(X1,converse(one))),one),X1)),
inference(superposition,[],[f38,f25]) ).
fof(f38,plain,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_2) ).
fof(f62,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f34,f26]) ).
fof(f4351,plain,
! [X0,X1] : join(top,meet(X1,X0)) = join(meet(X0,X1),top),
inference(superposition,[],[f57,f3508]) ).
fof(f3508,plain,
! [X0,X1] : top = join(complement(meet(X1,X0)),meet(X0,X1)),
inference(backward_demodulation,[],[f55,f3485]) ).
fof(f3485,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(superposition,[],[f3456,f52]) ).
fof(f55,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f26,f31]) ).
fof(f57,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f34,f26]) ).
fof(f4939,plain,
! [X0] : join(X0,top) = join(top,meet(X0,X0)),
inference(superposition,[],[f4615,f171]) ).
fof(f171,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f154,f31]) ).
fof(f154,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f40,f27]) ).
fof(f4615,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f4614,f1877]) ).
fof(f1877,plain,
! [X0] : join(top,X0) = join(sK0,join(X0,top)),
inference(backward_demodulation,[],[f817,f1838]) ).
fof(f1838,plain,
top = join(sK0,top),
inference(forward_demodulation,[],[f1837,f246]) ).
fof(f1837,plain,
join(top,top) = join(sK0,top),
inference(forward_demodulation,[],[f1836,f28]) ).
fof(f1836,plain,
join(top,top) = join(top,sK0),
inference(forward_demodulation,[],[f1835,f1222]) ).
fof(f1222,plain,
! [X0] : join(top,X0) = join(top,join(X0,top)),
inference(backward_demodulation,[],[f664,f1221]) ).
fof(f1221,plain,
! [X0] : join(top,X0) = join(sK0,join(top,join(complement(meet(sK0,join(sK0,top))),X0))),
inference(forward_demodulation,[],[f1218,f34]) ).
fof(f1218,plain,
! [X0] : join(top,X0) = join(sK0,join(join(top,complement(meet(sK0,join(sK0,top)))),X0)),
inference(superposition,[],[f34,f1182]) ).
fof(f1182,plain,
top = join(sK0,join(top,complement(meet(sK0,join(sK0,top))))),
inference(forward_demodulation,[],[f1181,f57]) ).
fof(f1181,plain,
top = join(sK0,join(top,join(complement(top),complement(meet(sK0,join(sK0,top)))))),
inference(forward_demodulation,[],[f1180,f246]) ).
fof(f1180,plain,
top = join(sK0,join(top,join(complement(join(top,top)),complement(meet(sK0,join(sK0,top)))))),
inference(forward_demodulation,[],[f1149,f28]) ).
fof(f1149,plain,
top = join(sK0,join(top,join(complement(meet(sK0,join(sK0,top))),complement(join(top,top))))),
inference(superposition,[],[f790,f359]) ).
fof(f359,plain,
! [X0] : join(top,X0) = join(sK0,join(complement(meet(sK0,join(sK0,top))),X0)),
inference(superposition,[],[f34,f355]) ).
fof(f355,plain,
top = join(sK0,complement(meet(sK0,join(sK0,top)))),
inference(forward_demodulation,[],[f348,f75]) ).
fof(f348,plain,
join(zero,top) = join(sK0,complement(meet(sK0,join(sK0,top)))),
inference(superposition,[],[f336,f26]) ).
fof(f336,plain,
! [X0] : join(sK0,X0) = join(zero,join(meet(sK0,join(sK0,top)),X0)),
inference(backward_demodulation,[],[f193,f332]) ).
fof(f332,plain,
complement(join(complement(sK0),composition(converse(sK1),sK2))) = meet(sK0,join(sK0,top)),
inference(superposition,[],[f31,f199]) ).
fof(f199,plain,
join(complement(sK0),composition(converse(sK1),sK2)) = join(complement(sK0),complement(join(sK0,top))),
inference(forward_demodulation,[],[f198,f194]) ).
fof(f194,plain,
join(top,complement(join(complement(sK0),composition(converse(sK1),sK2)))) = join(sK0,top),
inference(forward_demodulation,[],[f192,f28]) ).
fof(f192,plain,
join(top,complement(join(complement(sK0),composition(converse(sK1),sK2)))) = join(top,sK0),
inference(superposition,[],[f77,f160]) ).
fof(f160,plain,
sK0 = join(zero,complement(join(complement(sK0),composition(converse(sK1),sK2)))),
inference(superposition,[],[f40,f22]) ).
fof(f22,plain,
zero = meet(sK0,composition(converse(sK1),sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( zero != meet(composition(sK1,sK0),sK2)
& zero = meet(sK0,composition(converse(sK1),sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1,X2] :
( zero != meet(composition(X1,X0),X2)
& zero = meet(X0,composition(converse(X1),X2)) )
=> ( zero != meet(composition(sK1,sK0),sK2)
& zero = meet(sK0,composition(converse(sK1),sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != meet(composition(X1,X0),X2)
& zero = meet(X0,composition(converse(X1),X2)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( zero = meet(X0,composition(converse(X1),X2))
=> zero = meet(composition(X1,X0),X2) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( zero = meet(X0,composition(converse(X1),X2))
=> zero = meet(composition(X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f198,plain,
join(complement(sK0),composition(converse(sK1),sK2)) = join(complement(sK0),complement(join(top,complement(join(complement(sK0),composition(converse(sK1),sK2)))))),
inference(forward_demodulation,[],[f197,f28]) ).
fof(f197,plain,
join(complement(sK0),composition(converse(sK1),sK2)) = join(complement(sK0),complement(join(complement(join(complement(sK0),composition(converse(sK1),sK2))),top))),
inference(superposition,[],[f40,f190]) ).
fof(f190,plain,
complement(sK0) = meet(join(complement(sK0),composition(converse(sK1),sK2)),top),
inference(superposition,[],[f74,f160]) ).
fof(f193,plain,
! [X0] : join(zero,join(complement(join(complement(sK0),composition(converse(sK1),sK2))),X0)) = join(sK0,X0),
inference(superposition,[],[f34,f160]) ).
fof(f790,plain,
! [X0] : top = join(sK0,join(top,join(X0,complement(join(sK0,join(X0,top)))))),
inference(superposition,[],[f549,f26]) ).
fof(f549,plain,
! [X0,X1] : join(join(sK0,join(X0,top)),X1) = join(sK0,join(top,join(X0,X1))),
inference(forward_demodulation,[],[f545,f34]) ).
fof(f545,plain,
! [X0,X1] : join(join(sK0,join(X0,top)),X1) = join(sK0,join(join(top,X0),X1)),
inference(superposition,[],[f34,f522]) ).
fof(f522,plain,
! [X0] : join(sK0,join(top,X0)) = join(sK0,join(X0,top)),
inference(superposition,[],[f335,f356]) ).
fof(f356,plain,
! [X0] : join(top,join(meet(sK0,join(sK0,top)),X0)) = join(sK0,join(X0,top)),
inference(forward_demodulation,[],[f351,f63]) ).
fof(f63,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f34,f28]) ).
fof(f351,plain,
! [X0] : join(top,join(meet(sK0,join(sK0,top)),X0)) = join(top,join(sK0,X0)),
inference(superposition,[],[f77,f336]) ).
fof(f335,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(meet(sK0,join(sK0,top)),X0)),
inference(backward_demodulation,[],[f331,f332]) ).
fof(f331,plain,
! [X0] : join(top,join(complement(join(complement(sK0),composition(converse(sK1),sK2))),X0)) = join(sK0,join(top,X0)),
inference(forward_demodulation,[],[f330,f34]) ).
fof(f330,plain,
! [X0] : join(top,join(complement(join(complement(sK0),composition(converse(sK1),sK2))),X0)) = join(join(sK0,top),X0),
inference(superposition,[],[f34,f194]) ).
fof(f664,plain,
! [X0] : join(top,join(X0,top)) = join(sK0,join(top,join(complement(meet(sK0,join(sK0,top))),X0))),
inference(superposition,[],[f542,f359]) ).
fof(f542,plain,
! [X0,X1] : join(sK0,join(top,join(X0,X1))) = join(sK0,join(X0,join(X1,top))),
inference(superposition,[],[f522,f34]) ).
fof(f1835,plain,
join(top,top) = join(top,join(sK0,top)),
inference(forward_demodulation,[],[f1834,f62]) ).
fof(f1834,plain,
join(top,join(sK0,top)) = join(top,join(sK0,join(top,complement(join(sK0,top))))),
inference(forward_demodulation,[],[f1810,f522]) ).
fof(f1810,plain,
join(top,join(sK0,top)) = join(top,join(sK0,join(complement(join(sK0,top)),top))),
inference(superposition,[],[f1689,f841]) ).
fof(f841,plain,
! [X0] : join(X0,join(sK0,top)) = join(sK0,join(X0,top)),
inference(superposition,[],[f817,f28]) ).
fof(f1689,plain,
! [X0] : join(top,X0) = join(top,join(complement(join(sK0,top)),X0)),
inference(superposition,[],[f34,f1622]) ).
fof(f1622,plain,
top = join(top,complement(join(sK0,top))),
inference(forward_demodulation,[],[f1598,f565]) ).
fof(f565,plain,
top = join(sK0,join(top,join(complement(sK0),composition(converse(sK1),sK2)))),
inference(forward_demodulation,[],[f564,f246]) ).
fof(f564,plain,
join(top,top) = join(sK0,join(top,join(complement(sK0),composition(converse(sK1),sK2)))),
inference(forward_demodulation,[],[f559,f28]) ).
fof(f559,plain,
join(top,top) = join(sK0,join(join(complement(sK0),composition(converse(sK1),sK2)),top)),
inference(superposition,[],[f369,f403]) ).
fof(f403,plain,
top = join(join(complement(sK0),composition(converse(sK1),sK2)),meet(sK0,join(sK0,top))),
inference(superposition,[],[f26,f332]) ).
fof(f369,plain,
! [X0] : join(sK0,join(X0,top)) = join(top,join(X0,meet(sK0,join(sK0,top)))),
inference(forward_demodulation,[],[f367,f63]) ).
fof(f367,plain,
! [X0] : join(top,join(sK0,X0)) = join(top,join(X0,meet(sK0,join(sK0,top)))),
inference(superposition,[],[f77,f349]) ).
fof(f349,plain,
! [X0] : join(sK0,X0) = join(zero,join(X0,meet(sK0,join(sK0,top)))),
inference(superposition,[],[f336,f28]) ).
fof(f1598,plain,
join(sK0,join(top,join(complement(sK0),composition(converse(sK1),sK2)))) = join(top,complement(join(sK0,top))),
inference(superposition,[],[f1464,f199]) ).
fof(f1464,plain,
! [X0] : join(top,X0) = join(sK0,join(top,join(complement(sK0),X0))),
inference(forward_demodulation,[],[f1458,f34]) ).
fof(f1458,plain,
! [X0] : join(top,X0) = join(sK0,join(join(top,complement(sK0)),X0)),
inference(superposition,[],[f34,f1425]) ).
fof(f1425,plain,
top = join(sK0,join(top,complement(sK0))),
inference(forward_demodulation,[],[f1372,f246]) ).
fof(f1372,plain,
join(top,top) = join(sK0,join(top,complement(sK0))),
inference(superposition,[],[f1343,f26]) ).
fof(f1343,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(sK0,X0)),
inference(forward_demodulation,[],[f1286,f943]) ).
fof(f943,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(X0,join(sK0,top))),
inference(superposition,[],[f830,f841]) ).
fof(f830,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(sK0,join(X0,top))),
inference(forward_demodulation,[],[f829,f285]) ).
fof(f285,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f34,f246]) ).
fof(f829,plain,
! [X0] : join(top,join(sK0,join(X0,top))) = join(sK0,join(top,join(top,X0))),
inference(forward_demodulation,[],[f799,f417]) ).
fof(f417,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(sK0,join(X0,join(X1,complement(meet(sK0,join(sK0,top)))))),
inference(superposition,[],[f394,f34]) ).
fof(f394,plain,
! [X0] : join(top,X0) = join(sK0,join(X0,complement(meet(sK0,join(sK0,top))))),
inference(superposition,[],[f359,f28]) ).
fof(f799,plain,
! [X0] : join(top,join(sK0,join(X0,top))) = join(sK0,join(sK0,join(top,join(X0,complement(meet(sK0,join(sK0,top))))))),
inference(superposition,[],[f394,f549]) ).
fof(f1286,plain,
! [X0] : join(top,join(sK0,X0)) = join(top,join(X0,join(sK0,top))),
inference(superposition,[],[f1228,f841]) ).
fof(f1228,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X0,join(X1,top))),
inference(superposition,[],[f1222,f34]) ).
fof(f817,plain,
! [X0] : join(join(sK0,top),X0) = join(sK0,join(X0,top)),
inference(forward_demodulation,[],[f816,f140]) ).
fof(f140,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f80,f28]) ).
fof(f80,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f34,f75]) ).
fof(f816,plain,
! [X0] : join(join(sK0,top),X0) = join(sK0,join(zero,join(X0,top))),
inference(forward_demodulation,[],[f786,f63]) ).
fof(f786,plain,
! [X0] : join(join(sK0,top),X0) = join(sK0,join(top,join(zero,X0))),
inference(superposition,[],[f549,f75]) ).
fof(f4614,plain,
! [X0] : join(join(zero,X0),top) = join(sK0,join(X0,top)),
inference(forward_demodulation,[],[f4613,f63]) ).
fof(f4613,plain,
! [X0] : join(join(zero,X0),top) = join(top,join(sK0,X0)),
inference(forward_demodulation,[],[f4569,f77]) ).
fof(f4569,plain,
! [X0] : join(join(zero,X0),top) = join(top,join(zero,join(sK0,X0))),
inference(superposition,[],[f4501,f1430]) ).
fof(f1430,plain,
! [X0] : join(zero,join(sK0,X0)) = join(sK0,join(zero,X0)),
inference(forward_demodulation,[],[f1428,f56]) ).
fof(f1428,plain,
! [X0] : join(zero,join(sK0,X0)) = join(sK0,join(complement(top),X0)),
inference(backward_demodulation,[],[f373,f1425]) ).
fof(f373,plain,
! [X0] : join(sK0,join(complement(join(sK0,join(top,complement(sK0)))),X0)) = join(zero,join(sK0,X0)),
inference(forward_demodulation,[],[f372,f34]) ).
fof(f372,plain,
! [X0] : join(sK0,join(complement(join(sK0,join(top,complement(sK0)))),X0)) = join(join(zero,sK0),X0),
inference(superposition,[],[f34,f354]) ).
fof(f354,plain,
join(zero,sK0) = join(sK0,complement(join(sK0,join(top,complement(sK0))))),
inference(forward_demodulation,[],[f353,f63]) ).
fof(f353,plain,
join(zero,sK0) = join(sK0,complement(join(top,join(complement(sK0),sK0)))),
inference(forward_demodulation,[],[f347,f63]) ).
fof(f347,plain,
join(sK0,complement(join(complement(sK0),join(sK0,top)))) = join(zero,sK0),
inference(superposition,[],[f336,f40]) ).
fof(f4501,plain,
! [X0] : join(X0,top) = join(top,join(sK0,X0)),
inference(superposition,[],[f2359,f77]) ).
fof(f2359,plain,
! [X0] : join(X0,top) = join(top,join(zero,join(sK0,X0))),
inference(forward_demodulation,[],[f2358,f140]) ).
fof(f2358,plain,
! [X0] : join(zero,join(X0,top)) = join(top,join(zero,join(sK0,X0))),
inference(forward_demodulation,[],[f2340,f63]) ).
fof(f2340,plain,
! [X0] : join(top,join(zero,X0)) = join(top,join(zero,join(sK0,X0))),
inference(superposition,[],[f1986,f1430]) ).
fof(f1986,plain,
! [X0] : join(top,X0) = join(top,join(sK0,X0)),
inference(backward_demodulation,[],[f1343,f1961]) ).
fof(f1961,plain,
! [X0] : join(top,X0) = join(sK0,join(top,X0)),
inference(backward_demodulation,[],[f522,f1877]) ).
fof(f16759,plain,
! [X0] : join(top,X0) = join(top,top),
inference(backward_demodulation,[],[f1222,f16733]) ).
fof(f2842,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f57,f28]) ).
fof(f19489,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(superposition,[],[f17519,f62]) ).
fof(f17519,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),zero) = X0,
inference(forward_demodulation,[],[f17181,f56]) ).
fof(f17181,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(top)) = X0,
inference(backward_demodulation,[],[f3463,f17141]) ).
fof(f3463,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(join(top,X1))) = X0,
inference(backward_demodulation,[],[f2858,f3456]) ).
fof(f2858,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))) = X0,
inference(superposition,[],[f40,f57]) ).
fof(f67873,plain,
meet(sK2,composition(sK1,sK0)) = meet(meet(sK2,composition(sK1,sK0)),zero),
inference(backward_demodulation,[],[f20969,f67609]) ).
fof(f67609,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f67608,f67578]) ).
fof(f67578,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f67577,f67013]) ).
fof(f67013,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f66637,f18256]) ).
fof(f18256,plain,
top = converse(top),
inference(superposition,[],[f17956,f62]) ).
fof(f17956,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f42,f17141]) ).
fof(f42,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f24]) ).
fof(f29,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/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f66637,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f20223,f20139]) ).
fof(f20139,plain,
! [X0] : join(X0,zero) = X0,
inference(backward_demodulation,[],[f19605,f20137]) ).
fof(f20137,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[],[f20077,f3456]) ).
fof(f20077,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f71,f20076]) ).
fof(f20076,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f20075,f19487]) ).
fof(f19487,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),zero) = X0,
inference(superposition,[],[f17519,f28]) ).
fof(f20075,plain,
! [X0] : join(zero,complement(X0)) = join(meet(complement(X0),join(zero,complement(X0))),zero),
inference(forward_demodulation,[],[f20049,f2554]) ).
fof(f20049,plain,
! [X0] : join(zero,complement(X0)) = join(meet(join(zero,complement(X0)),complement(X0)),zero),
inference(superposition,[],[f169,f19864]) ).
fof(f19864,plain,
! [X0] : zero = meet(join(zero,complement(X0)),X0),
inference(forward_demodulation,[],[f19863,f56]) ).
fof(f19863,plain,
! [X0] : complement(top) = meet(join(zero,complement(X0)),X0),
inference(forward_demodulation,[],[f19845,f3487]) ).
fof(f3487,plain,
! [X0] : join(zero,complement(X0)) = complement(meet(X0,top)),
inference(superposition,[],[f3456,f74]) ).
fof(f19845,plain,
! [X0] : complement(top) = meet(complement(meet(X0,top)),X0),
inference(superposition,[],[f3504,f19808]) ).
fof(f19808,plain,
! [X0] : top = join(meet(top,X0),complement(X0)),
inference(forward_demodulation,[],[f19807,f16733]) ).
fof(f19807,plain,
! [X0] : join(zero,top) = join(meet(top,X0),complement(X0)),
inference(forward_demodulation,[],[f19795,f28]) ).
fof(f19795,plain,
! [X0] : join(top,zero) = join(meet(top,X0),complement(X0)),
inference(superposition,[],[f3621,f19605]) ).
fof(f3504,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(complement(meet(X1,X0)),X2),
inference(backward_demodulation,[],[f49,f3485]) ).
fof(f49,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f31,f31]) ).
fof(f71,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f31,f56]) ).
fof(f19605,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(backward_demodulation,[],[f3618,f19604]) ).
fof(f3618,plain,
! [X0] : join(meet(top,X0),meet(zero,X0)) = X0,
inference(forward_demodulation,[],[f3617,f56]) ).
fof(f3617,plain,
! [X0] : join(meet(top,X0),meet(complement(top),X0)) = X0,
inference(backward_demodulation,[],[f175,f3492]) ).
fof(f3492,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f31,f3456]) ).
fof(f175,plain,
! [X0] : join(meet(top,X0),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f155,f28]) ).
fof(f155,plain,
! [X0] : join(meet(top,X0),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f40,f101]) ).
fof(f101,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f74,f71]) ).
fof(f20223,plain,
! [X0,X1] : join(composition(converse(X1),complement(composition(X1,top))),X0) = X0,
inference(backward_demodulation,[],[f19091,f20185]) ).
fof(f20185,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f5940,f20139]) ).
fof(f5940,plain,
! [X0] : join(X0,zero) = join(zero,join(X0,zero)),
inference(superposition,[],[f63,f256]) ).
fof(f19091,plain,
! [X0,X1] : join(zero,X0) = join(composition(converse(X1),complement(composition(X1,top))),join(zero,X0)),
inference(superposition,[],[f233,f56]) ).
fof(f233,plain,
! [X2,X0,X1] : join(complement(X1),X2) = join(composition(converse(X0),complement(composition(X0,X1))),join(complement(X1),X2)),
inference(superposition,[],[f34,f32]) ).
fof(f32,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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f67577,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f67576,f16733]) ).
fof(f67576,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f67519,f20139]) ).
fof(f67519,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f36,f67013]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f67608,plain,
! [X0,X1] : composition(X0,zero) = composition(join(composition(X0,top),X1),complement(composition(top,top))),
inference(forward_demodulation,[],[f67607,f20139]) ).
fof(f67607,plain,
! [X0,X1] : composition(join(composition(X0,top),X1),complement(composition(top,top))) = join(composition(X0,zero),zero),
inference(forward_demodulation,[],[f67530,f67578]) ).
fof(f67530,plain,
! [X0,X1] : composition(join(composition(X0,top),X1),complement(composition(top,top))) = join(composition(X0,zero),composition(X1,complement(composition(top,top)))),
inference(superposition,[],[f313,f67013]) ).
fof(f313,plain,
! [X2,X3,X0,X1] : composition(join(composition(X0,X1),X3),X2) = join(composition(X0,composition(X1,X2)),composition(X3,X2)),
inference(superposition,[],[f36,f35]) ).
fof(f35,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/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f20969,plain,
meet(sK2,composition(sK1,sK0)) = meet(meet(sK2,composition(sK1,sK0)),composition(meet(sK1,composition(sK2,converse(sK0))),zero)),
inference(forward_demodulation,[],[f20913,f2554]) ).
fof(f20913,plain,
meet(composition(sK1,sK0),sK2) = meet(meet(composition(sK1,sK0),sK2),composition(meet(sK1,composition(sK2,converse(sK0))),zero)),
inference(superposition,[],[f20553,f586]) ).
fof(f586,plain,
composition(meet(sK1,composition(sK2,converse(sK0))),zero) = join(meet(composition(sK1,sK0),sK2),composition(meet(sK1,composition(sK2,converse(sK0))),zero)),
inference(superposition,[],[f39,f22]) ).
fof(f39,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law) ).
fof(f20553,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f20139,f17519]) ).
fof(f3503,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f31,f3485]) ).
fof(f23,plain,
zero != meet(composition(sK1,sK0),sK2),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:50:13 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (12307)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34 % (12313)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)
% 0.17/0.35 % (12309)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (12308)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 % (12310)WARNING: value z3 for option sas not known
% 0.17/0.36 % (12311)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.36 % (12314)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)
% 0.17/0.36 % (12312)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)
% 0.17/0.36 TRYING [1]
% 0.17/0.36 TRYING [1]
% 0.17/0.37 TRYING [2]
% 0.17/0.37 TRYING [2]
% 0.17/0.37 % (12310)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)
% 0.17/0.39 TRYING [3]
% 0.17/0.41 TRYING [3]
% 0.17/0.51 TRYING [4]
% 0.17/0.54 TRYING [4]
% 3.43/1.01 TRYING [1]
% 3.43/1.01 TRYING [2]
% 3.43/1.03 TRYING [3]
% 3.77/1.09 TRYING [4]
% 3.77/1.14 TRYING [5]
% 6.06/1.48 TRYING [5]
% 8.14/1.85 TRYING [5]
% 11.02/2.36 TRYING [6]
% 14.69/2.94 TRYING [6]
% 16.51/3.25 % (12313)First to succeed.
% 16.51/3.27 % (12313)Refutation found. Thanks to Tanya!
% 16.51/3.27 % SZS status Theorem for theBenchmark
% 16.51/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 16.51/3.27 % (12313)------------------------------
% 16.51/3.27 % (12313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 16.51/3.27 % (12313)Termination reason: Refutation
% 16.51/3.27
% 16.51/3.27 % (12313)Memory used [KB]: 29999
% 16.51/3.27 % (12313)Time elapsed: 2.917 s
% 16.51/3.27 % (12313)Instructions burned: 4738 (million)
% 16.51/3.27 % (12313)------------------------------
% 16.51/3.27 % (12313)------------------------------
% 16.51/3.27 % (12307)Success in time 2.924 s
%------------------------------------------------------------------------------