TSTP Solution File: REL013+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL013+1 : 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 : n003.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 08:52:57 EDT 2024
% Result : Theorem 2.61s 0.72s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 15
% Syntax : Number of formulae : 185 ( 178 unt; 0 def)
% Number of atoms : 194 ( 193 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 6 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 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 : 208 ( 206 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12994,plain,
$false,
inference(trivial_inequality_removal,[],[f12993]) ).
fof(f12993,plain,
zero != zero,
inference(superposition,[],[f12628,f12444]) ).
fof(f12444,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f11888,f453]) ).
fof(f453,plain,
! [X0] : join(X0,zero) = X0,
inference(backward_demodulation,[],[f177,f426]) ).
fof(f426,plain,
! [X0] : meet(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f350,f290]) ).
fof(f290,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f177,f24]) ).
fof(f24,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(f350,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f234,f164]) ).
fof(f164,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f148,f27]) ).
fof(f27,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(f148,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f33,f23]) ).
fof(f23,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(f33,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f29,f27]) ).
fof(f29,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(f234,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f214,f49]) ).
fof(f49,plain,
zero = complement(top),
inference(forward_demodulation,[],[f44,f23]) ).
fof(f44,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f27,f22]) ).
fof(f22,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(f214,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f188,f209]) ).
fof(f209,plain,
top = join(top,top),
inference(forward_demodulation,[],[f202,f22]) ).
fof(f202,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f196,f24]) ).
fof(f196,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f195,f49]) ).
fof(f195,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f190,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f189,f62]) ).
fof(f62,plain,
top = join(zero,top),
inference(superposition,[],[f53,f24]) ).
fof(f53,plain,
top = join(top,zero),
inference(superposition,[],[f22,f49]) ).
fof(f189,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f187,f24]) ).
fof(f187,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f107,f175]) ).
fof(f175,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f174,f119]) ).
fof(f119,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f107,f22]) ).
fof(f174,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f153,f24]) ).
fof(f153,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f33,f101]) ).
fof(f101,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f92,f49]) ).
fof(f92,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f54,f22]) ).
fof(f54,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f50,f24]) ).
fof(f50,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f27,f49]) ).
fof(f107,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f31,f53]) ).
fof(f31,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(f194,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f193,f24]) ).
fof(f193,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f33,f185]) ).
fof(f185,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f54,f175]) ).
fof(f188,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f31,f175]) ).
fof(f177,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f159,f49]) ).
fof(f159,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f33,f22]) ).
fof(f11888,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(backward_demodulation,[],[f9679,f11828]) ).
fof(f11828,plain,
zero = composition(top,zero),
inference(superposition,[],[f11765,f453]) ).
fof(f11765,plain,
zero = join(composition(top,zero),zero),
inference(forward_demodulation,[],[f11764,f2073]) ).
fof(f2073,plain,
top = converse(top),
inference(backward_demodulation,[],[f1354,f2070]) ).
fof(f2070,plain,
! [X0] : top = join(X0,converse(top)),
inference(backward_demodulation,[],[f1845,f2043]) ).
fof(f2043,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f2020,f24]) ).
fof(f2020,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1842,f1860]) ).
fof(f1860,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1838,f22]) ).
fof(f1838,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f102,f799]) ).
fof(f799,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f764,f580]) ).
fof(f580,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f561,f426]) ).
fof(f561,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X0,X1))),
inference(backward_demodulation,[],[f27,f560]) ).
fof(f560,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f334,f559]) ).
fof(f559,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f555,f24]) ).
fof(f555,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f33,f548]) ).
fof(f548,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f541,f49]) ).
fof(f541,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f27,f400]) ).
fof(f400,plain,
! [X0] : top = join(complement(complement(X0)),complement(X0)),
inference(backward_demodulation,[],[f360,f393]) ).
fof(f393,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f93,f365]) ).
fof(f365,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f51,f350]) ).
fof(f51,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f27,f49]) ).
fof(f93,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f54,f51]) ).
fof(f360,plain,
! [X0] : top = join(meet(X0,top),complement(X0)),
inference(backward_demodulation,[],[f173,f350]) ).
fof(f173,plain,
! [X0] : top = join(meet(X0,top),complement(join(zero,X0))),
inference(forward_demodulation,[],[f152,f49]) ).
fof(f152,plain,
! [X0] : top = join(meet(X0,top),complement(join(complement(top),X0))),
inference(superposition,[],[f33,f93]) ).
fof(f334,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f328,f42]) ).
fof(f42,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f27,f27]) ).
fof(f328,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f290,f27]) ).
fof(f764,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f753,f762]) ).
fof(f762,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f739,f750]) ).
fof(f750,plain,
one = converse(one),
inference(superposition,[],[f739,f21]) ).
fof(f21,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(f739,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f724,f20]) ).
fof(f20,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(f724,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f35,f21]) ).
fof(f35,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f25,f20]) ).
fof(f25,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(f753,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f28,f739]) ).
fof(f28,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(f102,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f31,f22]) ).
fof(f1842,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f102,f22]) ).
fof(f1845,plain,
! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
inference(superposition,[],[f102,f890]) ).
fof(f890,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f36,f22]) ).
fof(f36,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f20]) ).
fof(f26,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(f1354,plain,
converse(top) = join(one,converse(top)),
inference(superposition,[],[f775,f1343]) ).
fof(f1343,plain,
top = join(one,top),
inference(forward_demodulation,[],[f1335,f22]) ).
fof(f1335,plain,
join(one,complement(one)) = join(one,top),
inference(superposition,[],[f1241,f634]) ).
fof(f634,plain,
! [X0] : top = join(complement(X0),X0),
inference(superposition,[],[f22,f580]) ).
fof(f1241,plain,
! [X0] : join(one,X0) = join(one,join(X0,one)),
inference(forward_demodulation,[],[f1240,f750]) ).
fof(f1240,plain,
! [X0] : join(converse(one),X0) = join(one,join(X0,one)),
inference(forward_demodulation,[],[f1239,f37]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f20]) ).
fof(f1239,plain,
! [X0] : converse(join(one,converse(X0))) = join(one,join(X0,one)),
inference(forward_demodulation,[],[f1206,f808]) ).
fof(f808,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f31,f799]) ).
fof(f1206,plain,
! [X0] : converse(join(one,join(one,converse(X0)))) = join(one,join(X0,one)),
inference(superposition,[],[f865,f782]) ).
fof(f782,plain,
! [X0] : join(one,converse(X0)) = converse(join(X0,one)),
inference(forward_demodulation,[],[f776,f24]) ).
fof(f776,plain,
! [X0] : converse(join(X0,one)) = join(converse(X0),one),
inference(superposition,[],[f26,f750]) ).
fof(f865,plain,
! [X0] : join(one,X0) = converse(join(one,converse(X0))),
inference(superposition,[],[f20,f775]) ).
fof(f775,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f26,f750]) ).
fof(f11764,plain,
zero = join(composition(converse(top),zero),zero),
inference(forward_demodulation,[],[f11755,f49]) ).
fof(f11755,plain,
complement(top) = join(composition(converse(top),complement(top)),complement(top)),
inference(superposition,[],[f28,f11694]) ).
fof(f11694,plain,
top = composition(top,top),
inference(superposition,[],[f11644,f3692]) ).
fof(f3692,plain,
! [X0] : top = join(one,join(X0,converse(complement(one)))),
inference(superposition,[],[f2353,f36]) ).
fof(f2353,plain,
! [X0] : top = join(one,converse(join(X0,complement(one)))),
inference(forward_demodulation,[],[f2342,f2073]) ).
fof(f2342,plain,
! [X0] : converse(top) = join(one,converse(join(X0,complement(one)))),
inference(superposition,[],[f775,f2062]) ).
fof(f2062,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1839,f2043]) ).
fof(f1839,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f102,f24]) ).
fof(f11644,plain,
! [X0] : top = composition(top,join(one,X0)),
inference(forward_demodulation,[],[f11643,f2073]) ).
fof(f11643,plain,
! [X0] : converse(top) = composition(top,join(one,X0)),
inference(forward_demodulation,[],[f11642,f2043]) ).
fof(f11642,plain,
! [X0] : composition(top,join(one,X0)) = converse(join(top,composition(converse(X0),top))),
inference(forward_demodulation,[],[f11584,f766]) ).
fof(f766,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f756,f750]) ).
fof(f756,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f32,f739]) ).
fof(f32,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(f11584,plain,
! [X0] : composition(top,join(one,X0)) = converse(composition(join(one,converse(X0)),top)),
inference(superposition,[],[f9689,f775]) ).
fof(f9689,plain,
! [X0] : composition(top,X0) = converse(composition(converse(X0),top)),
inference(superposition,[],[f20,f2125]) ).
fof(f2125,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[],[f25,f2073]) ).
fof(f9679,plain,
! [X0] : composition(top,zero) = join(composition(X0,zero),composition(top,zero)),
inference(forward_demodulation,[],[f9669,f9677]) ).
fof(f9677,plain,
! [X0] : composition(top,zero) = composition(join(complement(one),X0),zero),
inference(forward_demodulation,[],[f9676,f2043]) ).
fof(f9676,plain,
! [X0] : composition(join(complement(one),X0),zero) = composition(join(top,X0),zero),
inference(forward_demodulation,[],[f9667,f32]) ).
fof(f9667,plain,
! [X0] : composition(join(complement(one),X0),zero) = join(composition(top,zero),composition(X0,zero)),
inference(superposition,[],[f32,f9651]) ).
fof(f9651,plain,
composition(top,zero) = composition(complement(one),zero),
inference(forward_demodulation,[],[f9650,f922]) ).
fof(f922,plain,
zero = converse(zero),
inference(superposition,[],[f911,f350]) ).
fof(f911,plain,
! [X0] : join(X0,converse(zero)) = X0,
inference(forward_demodulation,[],[f893,f20]) ).
fof(f893,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(superposition,[],[f36,f453]) ).
fof(f9650,plain,
composition(top,converse(zero)) = composition(complement(one),zero),
inference(forward_demodulation,[],[f9639,f2126]) ).
fof(f2126,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f25,f2073]) ).
fof(f9639,plain,
converse(composition(zero,top)) = composition(complement(one),zero),
inference(superposition,[],[f1705,f7733]) ).
fof(f7733,plain,
composition(zero,top) = composition(zero,converse(complement(one))),
inference(superposition,[],[f5873,f2074]) ).
fof(f2074,plain,
top = join(one,converse(complement(one))),
inference(backward_demodulation,[],[f861,f2073]) ).
fof(f861,plain,
join(one,converse(complement(one))) = converse(top),
inference(superposition,[],[f775,f22]) ).
fof(f5873,plain,
! [X0] : composition(zero,X0) = composition(zero,join(one,X0)),
inference(forward_demodulation,[],[f5872,f922]) ).
fof(f5872,plain,
! [X0] : composition(converse(zero),X0) = composition(zero,join(one,X0)),
inference(forward_demodulation,[],[f5871,f35]) ).
fof(f5871,plain,
! [X0] : converse(composition(converse(X0),zero)) = composition(zero,join(one,X0)),
inference(forward_demodulation,[],[f5870,f350]) ).
fof(f5870,plain,
! [X0] : composition(zero,join(one,X0)) = converse(join(zero,composition(converse(X0),zero))),
inference(forward_demodulation,[],[f5829,f766]) ).
fof(f5829,plain,
! [X0] : composition(zero,join(one,X0)) = converse(composition(join(one,converse(X0)),zero)),
inference(superposition,[],[f1370,f775]) ).
fof(f1370,plain,
! [X0] : composition(zero,X0) = converse(composition(converse(X0),zero)),
inference(superposition,[],[f20,f954]) ).
fof(f954,plain,
! [X0] : converse(composition(zero,X0)) = composition(converse(X0),zero),
inference(superposition,[],[f25,f922]) ).
fof(f1705,plain,
! [X0] : composition(X0,zero) = converse(composition(zero,converse(X0))),
inference(superposition,[],[f20,f955]) ).
fof(f955,plain,
! [X0] : converse(composition(X0,zero)) = composition(zero,converse(X0)),
inference(superposition,[],[f25,f922]) ).
fof(f9669,plain,
! [X0] : join(composition(X0,zero),composition(top,zero)) = composition(join(complement(one),X0),zero),
inference(superposition,[],[f315,f9651]) ).
fof(f315,plain,
! [X2,X0,X1] : composition(join(X0,X2),X1) = join(composition(X2,X1),composition(X0,X1)),
inference(superposition,[],[f32,f24]) ).
fof(f12628,plain,
zero != composition(sK0,zero),
inference(trivial_inequality_removal,[],[f12627]) ).
fof(f12627,plain,
( zero != zero
| zero != composition(sK0,zero) ),
inference(backward_demodulation,[],[f19,f12586]) ).
fof(f12586,plain,
! [X2] : zero = composition(zero,X2),
inference(forward_demodulation,[],[f12576,f12575]) ).
fof(f12575,plain,
! [X0,X1] : zero = composition(converse(X1),composition(zero,X0)),
inference(backward_demodulation,[],[f1395,f12573]) ).
fof(f12573,plain,
! [X0,X1] : zero = converse(composition(X0,composition(zero,X1))),
inference(forward_demodulation,[],[f12567,f12444]) ).
fof(f12567,plain,
! [X0,X1] : converse(composition(X0,composition(zero,X1))) = composition(converse(X1),zero),
inference(backward_demodulation,[],[f1727,f12566]) ).
fof(f12566,plain,
! [X0] : zero = composition(zero,converse(X0)),
inference(forward_demodulation,[],[f12479,f922]) ).
fof(f12479,plain,
! [X0] : converse(zero) = composition(zero,converse(X0)),
inference(backward_demodulation,[],[f955,f12444]) ).
fof(f1727,plain,
! [X0,X1] : converse(composition(X0,composition(zero,X1))) = composition(converse(X1),composition(zero,converse(X0))),
inference(forward_demodulation,[],[f1706,f30]) ).
fof(f30,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(f1706,plain,
! [X0,X1] : converse(composition(composition(X0,zero),X1)) = composition(converse(X1),composition(zero,converse(X0))),
inference(superposition,[],[f25,f955]) ).
fof(f1395,plain,
! [X0,X1] : composition(converse(X1),composition(zero,X0)) = converse(composition(converse(X0),composition(zero,X1))),
inference(forward_demodulation,[],[f1377,f30]) ).
fof(f1377,plain,
! [X0,X1] : composition(converse(X1),composition(zero,X0)) = converse(composition(composition(converse(X0),zero),X1)),
inference(superposition,[],[f35,f954]) ).
fof(f12576,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(zero,X2),
inference(backward_demodulation,[],[f8077,f12575]) ).
fof(f8077,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(composition(converse(X1),composition(zero,X0)),X2),
inference(forward_demodulation,[],[f8076,f30]) ).
fof(f8076,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(composition(composition(converse(X1),zero),X0),X2),
inference(forward_demodulation,[],[f8075,f954]) ).
fof(f8075,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(composition(converse(composition(zero,X1)),X0),X2),
inference(forward_demodulation,[],[f8074,f35]) ).
fof(f8074,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(converse(composition(converse(X0),composition(zero,X1))),X2),
inference(forward_demodulation,[],[f8073,f30]) ).
fof(f8073,plain,
! [X2,X0,X1] : composition(converse(composition(composition(converse(X0),zero),X1)),X2) = composition(converse(X1),composition(zero,composition(X0,X2))),
inference(forward_demodulation,[],[f8011,f30]) ).
fof(f8011,plain,
! [X2,X0,X1] : composition(converse(composition(composition(converse(X0),zero),X1)),X2) = composition(converse(X1),composition(composition(zero,X0),X2)),
inference(superposition,[],[f56,f1370]) ).
fof(f56,plain,
! [X2,X0,X1] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(superposition,[],[f30,f25]) ).
fof(f19,plain,
( zero != composition(sK0,zero)
| zero != composition(zero,sK0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( zero != composition(zero,sK0)
| zero != composition(sK0,zero) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
( zero != composition(zero,X0)
| zero != composition(X0,zero) )
=> ( zero != composition(zero,sK0)
| zero != composition(sK0,zero) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
( zero != composition(zero,X0)
| zero != composition(X0,zero) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( zero = composition(zero,X0)
& zero = composition(X0,zero) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] :
( zero = composition(zero,X0)
& zero = composition(X0,zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL013+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 15:38:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (2278)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (2281)WARNING: value z3 for option sas not known
% 0.13/0.36 % (2280)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (2281)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)
% 0.13/0.37 % (2284)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)
% 0.13/0.37 % (2282)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (2283)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)
% 0.13/0.37 % (2285)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (2279)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [3]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [4]
% 0.20/0.55 TRYING [6]
% 2.61/0.71 % (2284)First to succeed.
% 2.61/0.71 % (2284)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2278"
% 2.61/0.72 % (2284)Refutation found. Thanks to Tanya!
% 2.61/0.72 % SZS status Theorem for theBenchmark
% 2.61/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/0.72 % (2284)------------------------------
% 2.61/0.72 % (2284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.61/0.72 % (2284)Termination reason: Refutation
% 2.61/0.72
% 2.61/0.72 % (2284)Memory used [KB]: 5184
% 2.61/0.72 % (2284)Time elapsed: 0.351 s
% 2.61/0.72 % (2284)Instructions burned: 698 (million)
% 2.61/0.72 % (2278)Success in time 0.361 s
%------------------------------------------------------------------------------