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 : n014.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 14:48:15 EDT 2024
% Result : Theorem 17.87s 3.00s
% Output : Refutation 17.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 17
% Syntax : Number of formulae : 321 ( 316 unt; 0 def)
% Number of atoms : 328 ( 327 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 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 : 351 ( 349 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88002,plain,
$false,
inference(trivial_inequality_removal,[],[f87920]) ).
fof(f87920,plain,
one != one,
inference(superposition,[],[f42,f87875]) ).
fof(f87875,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f87696,f18622]) ).
fof(f18622,plain,
! [X0] : join(X0,zero) = X0,
inference(backward_demodulation,[],[f17832,f18614]) ).
fof(f18614,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[],[f18524,f3585]) ).
fof(f3585,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f3584,f1105]) ).
fof(f1105,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f332,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(f332,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f309,f60]) ).
fof(f60,plain,
zero = complement(top),
inference(forward_demodulation,[],[f54,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(f54,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(f309,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(f3584,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f3559,f2725]) ).
fof(f2725,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f55,f31]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f31,f28]) ).
fof(f3559,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(superposition,[],[f312,f2747]) ).
fof(f2747,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f2722,f60]) ).
fof(f2722,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f55,f26]) ).
fof(f312,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f40,f31]) ).
fof(f18524,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f62,f18523]) ).
fof(f18523,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f18522,f17695]) ).
fof(f17695,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),zero) = X0,
inference(superposition,[],[f15782,f28]) ).
fof(f15782,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),zero) = X0,
inference(forward_demodulation,[],[f15544,f60]) ).
fof(f15544,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(top)) = X0,
inference(backward_demodulation,[],[f3591,f15508]) ).
fof(f15508,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f15236,f15225]) ).
fof(f15225,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[],[f7946,f15222]) ).
fof(f15222,plain,
! [X0,X1] : top = join(top,meet(X1,X0)),
inference(backward_demodulation,[],[f5284,f15221]) ).
fof(f15221,plain,
! [X0,X1] : top = join(meet(X0,X1),top),
inference(forward_demodulation,[],[f15095,f26]) ).
fof(f15095,plain,
! [X0,X1] : top = join(meet(X0,X1),join(meet(X1,meet(X0,X1)),complement(meet(X1,meet(X0,X1))))),
inference(superposition,[],[f111,f2901]) ).
fof(f2901,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[],[f2900,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(f2900,plain,
! [X0,X1] : meet(X1,meet(X0,composition(X1,one))) = join(meet(X0,X1),meet(X1,meet(X0,composition(X1,one)))),
inference(forward_demodulation,[],[f2882,f2725]) ).
fof(f2882,plain,
! [X0,X1] : meet(meet(X0,composition(X1,one)),X1) = join(meet(X0,X1),meet(meet(X0,composition(X1,one)),X1)),
inference(backward_demodulation,[],[f741,f2856]) ).
fof(f2856,plain,
one = converse(one),
inference(superposition,[],[f2550,f25]) ).
fof(f2550,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f2525,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(f2525,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f51,f25]) ).
fof(f51,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(f741,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,[],[f720,f25]) ).
fof(f720,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(f111,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f34,f26]) ).
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(f5284,plain,
! [X0,X1] : join(top,meet(X1,X0)) = join(meet(X0,X1),top),
inference(superposition,[],[f104,f3652]) ).
fof(f3652,plain,
! [X0,X1] : top = join(complement(meet(X1,X0)),meet(X0,X1)),
inference(backward_demodulation,[],[f58,f3621]) ).
fof(f3621,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(superposition,[],[f3585,f55]) ).
fof(f58,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(superposition,[],[f26,f31]) ).
fof(f104,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f34,f26]) ).
fof(f7946,plain,
! [X0] : join(X0,top) = join(top,meet(X0,X0)),
inference(superposition,[],[f6243,f315]) ).
fof(f315,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f289,f31]) ).
fof(f289,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f40,f27]) ).
fof(f6243,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f6242,f2094]) ).
fof(f2094,plain,
! [X0] : join(top,X0) = join(sK0,join(X0,top)),
inference(backward_demodulation,[],[f1160,f2047]) ).
fof(f2047,plain,
top = join(sK0,top),
inference(forward_demodulation,[],[f2046,f452]) ).
fof(f452,plain,
top = join(top,top),
inference(forward_demodulation,[],[f446,f26]) ).
fof(f446,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f410,f28]) ).
fof(f410,plain,
join(complement(zero),zero) = join(top,top),
inference(forward_demodulation,[],[f409,f60]) ).
fof(f409,plain,
join(complement(zero),complement(top)) = join(top,top),
inference(forward_demodulation,[],[f408,f400]) ).
fof(f400,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f399,f67]) ).
fof(f67,plain,
top = join(zero,top),
inference(superposition,[],[f64,f28]) ).
fof(f64,plain,
top = join(top,zero),
inference(superposition,[],[f26,f60]) ).
fof(f399,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f394,f28]) ).
fof(f394,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f109,f328]) ).
fof(f328,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f327,f272]) ).
fof(f272,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f109,f26]) ).
fof(f327,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f301,f28]) ).
fof(f301,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f40,f246]) ).
fof(f246,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f224,f60]) ).
fof(f224,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f66,f26]) ).
fof(f66,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f61,f28]) ).
fof(f61,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f31,f60]) ).
fof(f109,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f34,f64]) ).
fof(f408,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f404,f28]) ).
fof(f404,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f40,f390]) ).
fof(f390,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f66,f328]) ).
fof(f2046,plain,
join(top,top) = join(sK0,top),
inference(forward_demodulation,[],[f2045,f28]) ).
fof(f2045,plain,
join(top,top) = join(top,sK0),
inference(forward_demodulation,[],[f2044,f1554]) ).
fof(f1554,plain,
! [X0] : join(top,X0) = join(top,join(X0,top)),
inference(backward_demodulation,[],[f984,f1553]) ).
fof(f1553,plain,
! [X0] : join(top,X0) = join(sK0,join(top,join(complement(meet(sK0,join(sK0,top))),X0))),
inference(forward_demodulation,[],[f1550,f34]) ).
fof(f1550,plain,
! [X0] : join(top,X0) = join(sK0,join(join(top,complement(meet(sK0,join(sK0,top)))),X0)),
inference(superposition,[],[f34,f1516]) ).
fof(f1516,plain,
top = join(sK0,join(top,complement(meet(sK0,join(sK0,top))))),
inference(forward_demodulation,[],[f1515,f104]) ).
fof(f1515,plain,
top = join(sK0,join(top,join(complement(top),complement(meet(sK0,join(sK0,top)))))),
inference(forward_demodulation,[],[f1514,f452]) ).
fof(f1514,plain,
top = join(sK0,join(top,join(complement(join(top,top)),complement(meet(sK0,join(sK0,top)))))),
inference(forward_demodulation,[],[f1483,f28]) ).
fof(f1483,plain,
top = join(sK0,join(top,join(complement(meet(sK0,join(sK0,top))),complement(join(top,top))))),
inference(superposition,[],[f1134,f605]) ).
fof(f605,plain,
! [X0] : join(top,X0) = join(sK0,join(complement(meet(sK0,join(sK0,top))),X0)),
inference(superposition,[],[f34,f601]) ).
fof(f601,plain,
top = join(sK0,complement(meet(sK0,join(sK0,top)))),
inference(forward_demodulation,[],[f593,f67]) ).
fof(f593,plain,
join(zero,top) = join(sK0,complement(meet(sK0,join(sK0,top)))),
inference(superposition,[],[f581,f26]) ).
fof(f581,plain,
! [X0] : join(sK0,X0) = join(zero,join(meet(sK0,join(sK0,top)),X0)),
inference(backward_demodulation,[],[f356,f577]) ).
fof(f577,plain,
complement(join(complement(sK0),composition(sK0,complement(one)))) = meet(sK0,join(sK0,top)),
inference(superposition,[],[f31,f369]) ).
fof(f369,plain,
join(complement(sK0),composition(sK0,complement(one))) = join(complement(sK0),complement(join(sK0,top))),
inference(forward_demodulation,[],[f368,f360]) ).
fof(f360,plain,
join(top,complement(join(complement(sK0),composition(sK0,complement(one))))) = join(sK0,top),
inference(forward_demodulation,[],[f355,f28]) ).
fof(f355,plain,
join(top,complement(join(complement(sK0),composition(sK0,complement(one))))) = join(top,sK0),
inference(superposition,[],[f109,f292]) ).
fof(f292,plain,
sK0 = join(zero,complement(join(complement(sK0),composition(sK0,complement(one))))),
inference(superposition,[],[f40,f41]) ).
fof(f41,plain,
zero = meet(sK0,composition(sK0,complement(one))),
inference(superposition,[],[f22,f25]) ).
fof(f22,plain,
! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( one != join(composition(converse(sK0),sK0),one)
& ! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f20,plain,
( ? [X0] :
( one != join(composition(converse(X0),X0),one)
& ! [X1] : zero = meet(composition(X0,X1),composition(X0,complement(X1))) )
=> ( one != join(composition(converse(sK0),sK0),one)
& ! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0] :
( one != join(composition(converse(X0),X0),one)
& ! [X1] : zero = meet(composition(X0,X1),composition(X0,complement(X1))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( ! [X1] : zero = meet(composition(X0,X1),composition(X0,complement(X1)))
=> one = join(composition(converse(X0),X0),one) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0] :
( ! [X1] : zero = meet(composition(X0,X1),composition(X0,complement(X1)))
=> one = join(composition(converse(X0),X0),one) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f368,plain,
join(complement(sK0),composition(sK0,complement(one))) = join(complement(sK0),complement(join(top,complement(join(complement(sK0),composition(sK0,complement(one))))))),
inference(forward_demodulation,[],[f364,f28]) ).
fof(f364,plain,
join(complement(sK0),composition(sK0,complement(one))) = join(complement(sK0),complement(join(complement(join(complement(sK0),composition(sK0,complement(one)))),top))),
inference(superposition,[],[f40,f351]) ).
fof(f351,plain,
complement(sK0) = meet(join(complement(sK0),composition(sK0,complement(one))),top),
inference(superposition,[],[f66,f292]) ).
fof(f356,plain,
! [X0] : join(zero,join(complement(join(complement(sK0),composition(sK0,complement(one)))),X0)) = join(sK0,X0),
inference(superposition,[],[f34,f292]) ).
fof(f1134,plain,
! [X0] : top = join(sK0,join(top,join(X0,complement(join(sK0,join(X0,top)))))),
inference(superposition,[],[f826,f26]) ).
fof(f826,plain,
! [X0,X1] : join(join(sK0,join(X0,top)),X1) = join(sK0,join(top,join(X0,X1))),
inference(forward_demodulation,[],[f822,f34]) ).
fof(f822,plain,
! [X0,X1] : join(join(sK0,join(X0,top)),X1) = join(sK0,join(join(top,X0),X1)),
inference(superposition,[],[f34,f807]) ).
fof(f807,plain,
! [X0] : join(sK0,join(top,X0)) = join(sK0,join(X0,top)),
inference(superposition,[],[f580,f602]) ).
fof(f602,plain,
! [X0] : join(top,join(meet(sK0,join(sK0,top)),X0)) = join(sK0,join(X0,top)),
inference(forward_demodulation,[],[f596,f112]) ).
fof(f112,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f34,f28]) ).
fof(f596,plain,
! [X0] : join(top,join(meet(sK0,join(sK0,top)),X0)) = join(top,join(sK0,X0)),
inference(superposition,[],[f109,f581]) ).
fof(f580,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(meet(sK0,join(sK0,top)),X0)),
inference(backward_demodulation,[],[f565,f577]) ).
fof(f565,plain,
! [X0] : join(top,join(complement(join(complement(sK0),composition(sK0,complement(one)))),X0)) = join(sK0,join(top,X0)),
inference(forward_demodulation,[],[f564,f34]) ).
fof(f564,plain,
! [X0] : join(top,join(complement(join(complement(sK0),composition(sK0,complement(one)))),X0)) = join(join(sK0,top),X0),
inference(superposition,[],[f34,f360]) ).
fof(f984,plain,
! [X0] : join(top,join(X0,top)) = join(sK0,join(top,join(complement(meet(sK0,join(sK0,top))),X0))),
inference(superposition,[],[f819,f605]) ).
fof(f819,plain,
! [X0,X1] : join(sK0,join(top,join(X0,X1))) = join(sK0,join(X0,join(X1,top))),
inference(superposition,[],[f807,f34]) ).
fof(f2044,plain,
join(top,top) = join(top,join(sK0,top)),
inference(forward_demodulation,[],[f2043,f111]) ).
fof(f2043,plain,
join(top,join(sK0,top)) = join(top,join(sK0,join(top,complement(join(sK0,top))))),
inference(forward_demodulation,[],[f2021,f807]) ).
fof(f2021,plain,
join(top,join(sK0,top)) = join(top,join(sK0,join(complement(join(sK0,top)),top))),
inference(superposition,[],[f1870,f1183]) ).
fof(f1183,plain,
! [X0] : join(X0,join(sK0,top)) = join(sK0,join(X0,top)),
inference(superposition,[],[f1160,f28]) ).
fof(f1870,plain,
! [X0] : join(top,X0) = join(top,join(complement(join(sK0,top)),X0)),
inference(superposition,[],[f34,f1838]) ).
fof(f1838,plain,
top = join(top,complement(join(sK0,top))),
inference(forward_demodulation,[],[f1815,f896]) ).
fof(f896,plain,
top = join(sK0,join(top,join(complement(sK0),composition(sK0,complement(one))))),
inference(forward_demodulation,[],[f895,f452]) ).
fof(f895,plain,
join(top,top) = join(sK0,join(top,join(complement(sK0),composition(sK0,complement(one))))),
inference(forward_demodulation,[],[f890,f28]) ).
fof(f890,plain,
join(top,top) = join(sK0,join(join(complement(sK0),composition(sK0,complement(one))),top)),
inference(superposition,[],[f615,f648]) ).
fof(f648,plain,
top = join(join(complement(sK0),composition(sK0,complement(one))),meet(sK0,join(sK0,top))),
inference(superposition,[],[f26,f577]) ).
fof(f615,plain,
! [X0] : join(sK0,join(X0,top)) = join(top,join(X0,meet(sK0,join(sK0,top)))),
inference(forward_demodulation,[],[f613,f112]) ).
fof(f613,plain,
! [X0] : join(top,join(sK0,X0)) = join(top,join(X0,meet(sK0,join(sK0,top)))),
inference(superposition,[],[f109,f594]) ).
fof(f594,plain,
! [X0] : join(sK0,X0) = join(zero,join(X0,meet(sK0,join(sK0,top)))),
inference(superposition,[],[f581,f28]) ).
fof(f1815,plain,
join(sK0,join(top,join(complement(sK0),composition(sK0,complement(one))))) = join(top,complement(join(sK0,top))),
inference(superposition,[],[f1814,f369]) ).
fof(f1814,plain,
! [X0] : join(top,X0) = join(sK0,join(top,join(complement(sK0),X0))),
inference(forward_demodulation,[],[f1808,f34]) ).
fof(f1808,plain,
! [X0] : join(top,X0) = join(sK0,join(join(top,complement(sK0)),X0)),
inference(superposition,[],[f34,f1781]) ).
fof(f1781,plain,
top = join(sK0,join(top,complement(sK0))),
inference(forward_demodulation,[],[f1730,f452]) ).
fof(f1730,plain,
join(top,top) = join(sK0,join(top,complement(sK0))),
inference(superposition,[],[f1701,f26]) ).
fof(f1701,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(sK0,X0)),
inference(forward_demodulation,[],[f1643,f1283]) ).
fof(f1283,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(X0,join(sK0,top))),
inference(superposition,[],[f1173,f1183]) ).
fof(f1173,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(sK0,join(X0,top))),
inference(forward_demodulation,[],[f1172,f510]) ).
fof(f510,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f34,f452]) ).
fof(f1172,plain,
! [X0] : join(top,join(sK0,join(X0,top))) = join(sK0,join(top,join(top,X0))),
inference(forward_demodulation,[],[f1143,f683]) ).
fof(f683,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(sK0,join(X0,join(X1,complement(meet(sK0,join(sK0,top)))))),
inference(superposition,[],[f672,f34]) ).
fof(f672,plain,
! [X0] : join(top,X0) = join(sK0,join(X0,complement(meet(sK0,join(sK0,top))))),
inference(superposition,[],[f605,f28]) ).
fof(f1143,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,[],[f672,f826]) ).
fof(f1643,plain,
! [X0] : join(top,join(sK0,X0)) = join(top,join(X0,join(sK0,top))),
inference(superposition,[],[f1560,f1183]) ).
fof(f1560,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(top,join(X0,join(X1,top))),
inference(superposition,[],[f1554,f34]) ).
fof(f1160,plain,
! [X0] : join(join(sK0,top),X0) = join(sK0,join(X0,top)),
inference(forward_demodulation,[],[f1159,f284]) ).
fof(f284,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f110,f28]) ).
fof(f110,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f34,f67]) ).
fof(f1159,plain,
! [X0] : join(join(sK0,top),X0) = join(sK0,join(zero,join(X0,top))),
inference(forward_demodulation,[],[f1130,f112]) ).
fof(f1130,plain,
! [X0] : join(join(sK0,top),X0) = join(sK0,join(top,join(zero,X0))),
inference(superposition,[],[f826,f67]) ).
fof(f6242,plain,
! [X0] : join(join(zero,X0),top) = join(sK0,join(X0,top)),
inference(forward_demodulation,[],[f6192,f112]) ).
fof(f6192,plain,
! [X0] : join(join(zero,X0),top) = join(top,join(sK0,X0)),
inference(superposition,[],[f6170,f5458]) ).
fof(f5458,plain,
! [X0] : join(sK0,X0) = join(sK0,join(zero,X0)),
inference(superposition,[],[f34,f5397]) ).
fof(f5397,plain,
sK0 = join(sK0,zero),
inference(forward_demodulation,[],[f5372,f2771]) ).
fof(f2771,plain,
sK0 = join(meet(sK0,top),zero),
inference(forward_demodulation,[],[f2762,f60]) ).
fof(f2762,plain,
sK0 = join(meet(sK0,top),complement(top)),
inference(superposition,[],[f40,f2702]) ).
fof(f2702,plain,
top = join(complement(sK0),top),
inference(forward_demodulation,[],[f2688,f452]) ).
fof(f2688,plain,
join(top,top) = join(complement(sK0),top),
inference(superposition,[],[f2495,f2106]) ).
fof(f2106,plain,
! [X0] : join(X0,top) = join(top,join(X0,top)),
inference(backward_demodulation,[],[f1424,f2047]) ).
fof(f1424,plain,
! [X0] : join(X0,join(sK0,top)) = join(top,join(X0,join(sK0,top))),
inference(superposition,[],[f1399,f1183]) ).
fof(f1399,plain,
! [X0] : join(sK0,join(X0,top)) = join(top,join(sK0,join(X0,top))),
inference(superposition,[],[f1274,f28]) ).
fof(f1274,plain,
! [X0] : join(sK0,join(top,X0)) = join(top,join(sK0,join(top,X0))),
inference(forward_demodulation,[],[f1273,f34]) ).
fof(f1273,plain,
! [X0] : join(join(sK0,top),X0) = join(top,join(join(sK0,top),X0)),
inference(superposition,[],[f34,f1262]) ).
fof(f1262,plain,
join(sK0,top) = join(top,join(sK0,top)),
inference(forward_demodulation,[],[f1261,f67]) ).
fof(f1261,plain,
join(sK0,join(zero,top)) = join(top,join(sK0,top)),
inference(forward_demodulation,[],[f1260,f807]) ).
fof(f1260,plain,
join(sK0,join(top,zero)) = join(top,join(sK0,top)),
inference(forward_demodulation,[],[f1231,f1173]) ).
fof(f1231,plain,
join(top,join(sK0,top)) = join(top,join(sK0,join(zero,top))),
inference(superposition,[],[f109,f1183]) ).
fof(f2495,plain,
! [X0] : join(top,X0) = join(top,join(complement(sK0),X0)),
inference(superposition,[],[f2183,f1814]) ).
fof(f2183,plain,
! [X0] : join(top,X0) = join(sK0,join(top,X0)),
inference(backward_demodulation,[],[f807,f2094]) ).
fof(f5372,plain,
join(sK0,zero) = join(meet(sK0,top),zero),
inference(superposition,[],[f2777,f462]) ).
fof(f462,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f454,f60]) ).
fof(f454,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f328,f452]) ).
fof(f2777,plain,
! [X0] : join(sK0,X0) = join(meet(sK0,top),join(zero,X0)),
inference(superposition,[],[f34,f2771]) ).
fof(f6170,plain,
! [X0] : join(X0,top) = join(top,join(sK0,X0)),
inference(forward_demodulation,[],[f6082,f5756]) ).
fof(f5756,plain,
! [X0] : join(sK0,X0) = join(X0,meet(sK0,top)),
inference(superposition,[],[f5701,f28]) ).
fof(f5701,plain,
! [X0] : join(sK0,X0) = join(meet(sK0,top),X0),
inference(backward_demodulation,[],[f5364,f5674]) ).
fof(f5674,plain,
! [X0] : join(sK0,X0) = join(sK0,meet(X0,X0)),
inference(superposition,[],[f5458,f315]) ).
fof(f5364,plain,
! [X0] : join(sK0,meet(X0,X0)) = join(meet(sK0,top),X0),
inference(superposition,[],[f2777,f315]) ).
fof(f6082,plain,
! [X0] : join(X0,top) = join(top,join(X0,meet(sK0,top))),
inference(superposition,[],[f105,f4961]) ).
fof(f4961,plain,
! [X0] : join(X0,top) = join(join(X0,top),meet(sK0,top)),
inference(superposition,[],[f4718,f2106]) ).
fof(f4718,plain,
! [X0] : join(top,X0) = join(join(top,X0),meet(sK0,top)),
inference(superposition,[],[f2358,f28]) ).
fof(f2358,plain,
! [X0] : join(top,X0) = join(meet(sK0,top),join(top,X0)),
inference(superposition,[],[f34,f2257]) ).
fof(f2257,plain,
top = join(meet(sK0,top),top),
inference(forward_demodulation,[],[f2104,f2047]) ).
fof(f2104,plain,
join(sK0,top) = join(meet(sK0,top),top),
inference(backward_demodulation,[],[f1330,f2047]) ).
fof(f1330,plain,
join(sK0,join(sK0,top)) = join(meet(sK0,join(sK0,top)),join(sK0,top)),
inference(superposition,[],[f1234,f581]) ).
fof(f1234,plain,
! [X0] : join(X0,join(sK0,top)) = join(zero,join(X0,join(sK0,top))),
inference(superposition,[],[f771,f1183]) ).
fof(f771,plain,
! [X0] : join(sK0,join(X0,top)) = join(zero,join(sK0,join(X0,top))),
inference(superposition,[],[f110,f602]) ).
fof(f105,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f34,f28]) ).
fof(f15236,plain,
! [X0] : join(top,X0) = join(top,top),
inference(backward_demodulation,[],[f1554,f15225]) ).
fof(f3591,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(join(top,X1))) = X0,
inference(backward_demodulation,[],[f3053,f3585]) ).
fof(f3053,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))) = X0,
inference(superposition,[],[f40,f104]) ).
fof(f18522,plain,
! [X0] : join(zero,complement(X0)) = join(meet(complement(X0),join(zero,complement(X0))),zero),
inference(forward_demodulation,[],[f18493,f2725]) ).
fof(f18493,plain,
! [X0] : join(zero,complement(X0)) = join(meet(join(zero,complement(X0)),complement(X0)),zero),
inference(superposition,[],[f312,f18213]) ).
fof(f18213,plain,
! [X0] : zero = meet(join(zero,complement(X0)),X0),
inference(forward_demodulation,[],[f18212,f60]) ).
fof(f18212,plain,
! [X0] : complement(top) = meet(join(zero,complement(X0)),X0),
inference(forward_demodulation,[],[f18191,f3623]) ).
fof(f3623,plain,
! [X0] : join(zero,complement(X0)) = complement(meet(X0,top)),
inference(superposition,[],[f3585,f66]) ).
fof(f18191,plain,
! [X0] : complement(top) = meet(complement(meet(X0,top)),X0),
inference(superposition,[],[f3648,f18142]) ).
fof(f18142,plain,
! [X0] : top = join(meet(top,X0),complement(X0)),
inference(forward_demodulation,[],[f18141,f15225]) ).
fof(f18141,plain,
! [X0] : join(zero,top) = join(meet(top,X0),complement(X0)),
inference(forward_demodulation,[],[f18126,f28]) ).
fof(f18126,plain,
! [X0] : join(top,zero) = join(meet(top,X0),complement(X0)),
inference(superposition,[],[f3791,f17832]) ).
fof(f3791,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(meet(X0,complement(X1)),X2)),
inference(backward_demodulation,[],[f313,f3630]) ).
fof(f3630,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f31,f3585]) ).
fof(f313,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f34,f40]) ).
fof(f3648,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(complement(meet(X1,X0)),X2),
inference(backward_demodulation,[],[f52,f3621]) ).
fof(f52,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f31,f31]) ).
fof(f62,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f31,f60]) ).
fof(f17832,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(backward_demodulation,[],[f3788,f17831]) ).
fof(f17831,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f17811,f462]) ).
fof(f17811,plain,
! [X0] : join(zero,zero) = meet(zero,X0),
inference(superposition,[],[f17697,f16890]) ).
fof(f16890,plain,
! [X0] : zero = meet(meet(zero,X0),top),
inference(forward_demodulation,[],[f16858,f60]) ).
fof(f16858,plain,
! [X0] : complement(top) = meet(meet(zero,X0),top),
inference(superposition,[],[f66,f16618]) ).
fof(f16618,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f15540,f3791]) ).
fof(f15540,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f3038,f15508]) ).
fof(f3038,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f104,f28]) ).
fof(f17697,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(superposition,[],[f15782,f111]) ).
fof(f3788,plain,
! [X0] : join(meet(top,X0),meet(zero,X0)) = X0,
inference(forward_demodulation,[],[f3776,f60]) ).
fof(f3776,plain,
! [X0] : join(meet(top,X0),meet(complement(top),X0)) = X0,
inference(backward_demodulation,[],[f329,f3629]) ).
fof(f3629,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f31,f3585]) ).
fof(f329,plain,
! [X0] : join(meet(top,X0),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f302,f28]) ).
fof(f302,plain,
! [X0] : join(meet(top,X0),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f40,f225]) ).
fof(f225,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f66,f62]) ).
fof(f87696,plain,
join(one,composition(converse(sK0),sK0)) = join(one,zero),
inference(superposition,[],[f87507,f80332]) ).
fof(f80332,plain,
zero = meet(complement(one),composition(converse(sK0),sK0)),
inference(superposition,[],[f26516,f18622]) ).
fof(f26516,plain,
zero = join(meet(complement(one),composition(converse(sK0),sK0)),zero),
inference(forward_demodulation,[],[f26515,f2725]) ).
fof(f26515,plain,
zero = join(meet(composition(converse(sK0),sK0),complement(one)),zero),
inference(forward_demodulation,[],[f26514,f17938]) ).
fof(f17938,plain,
! [X0] : zero = meet(X0,zero),
inference(forward_demodulation,[],[f17914,f3585]) ).
fof(f17914,plain,
! [X0] : meet(X0,zero) = complement(complement(zero)),
inference(superposition,[],[f3647,f17831]) ).
fof(f3647,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f31,f3621]) ).
fof(f26514,plain,
meet(complement(one),zero) = join(meet(composition(converse(sK0),sK0),complement(one)),meet(complement(one),zero)),
inference(forward_demodulation,[],[f26513,f23249]) ).
fof(f23249,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f23248,f23181]) ).
fof(f23181,plain,
zero = composition(top,zero),
inference(superposition,[],[f22787,f18693]) ).
fof(f18693,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f6732,f18622]) ).
fof(f6732,plain,
! [X0] : join(X0,zero) = join(zero,join(X0,zero)),
inference(superposition,[],[f112,f462]) ).
fof(f22787,plain,
zero = join(zero,composition(top,zero)),
inference(forward_demodulation,[],[f22786,f16240]) ).
fof(f16240,plain,
top = converse(top),
inference(superposition,[],[f16158,f111]) ).
fof(f16158,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f45,f15508]) ).
fof(f45,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(f22786,plain,
zero = join(zero,composition(converse(top),zero)),
inference(forward_demodulation,[],[f22744,f60]) ).
fof(f22744,plain,
complement(top) = join(complement(top),composition(converse(top),complement(top))),
inference(superposition,[],[f438,f22637]) ).
fof(f22637,plain,
top = composition(top,top),
inference(superposition,[],[f22550,f16681]) ).
fof(f16681,plain,
top = join(one,converse(complement(one))),
inference(superposition,[],[f16273,f2856]) ).
fof(f16273,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[],[f1602,f16240]) ).
fof(f1602,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f44,f26]) ).
fof(f44,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f24]) ).
fof(f22550,plain,
! [X0] : top = composition(join(one,X0),top),
inference(superposition,[],[f19254,f25]) ).
fof(f19254,plain,
! [X0,X1] : top = composition(join(one,composition(X0,X1)),top),
inference(forward_demodulation,[],[f19253,f15508]) ).
fof(f19253,plain,
! [X0,X1] : join(top,composition(X0,composition(X1,top))) = composition(join(one,composition(X0,X1)),top),
inference(forward_demodulation,[],[f19252,f16224]) ).
fof(f16224,plain,
! [X0] : composition(join(one,X0),top) = composition(join(sK0,join(one,X0)),top),
inference(forward_demodulation,[],[f16223,f34]) ).
fof(f16223,plain,
! [X0] : composition(join(join(sK0,one),X0),top) = composition(join(one,X0),top),
inference(forward_demodulation,[],[f16211,f2915]) ).
fof(f2915,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f2868,f2856]) ).
fof(f2868,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f36,f2550]) ).
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(f16211,plain,
! [X0] : composition(join(join(sK0,one),X0),top) = join(top,composition(X0,top)),
inference(superposition,[],[f36,f15234]) ).
fof(f15234,plain,
top = composition(join(sK0,one),top),
inference(backward_demodulation,[],[f3781,f15222]) ).
fof(f3781,plain,
composition(join(sK0,one),top) = join(top,meet(composition(sK0,top),complement(composition(sK0,zero)))),
inference(forward_demodulation,[],[f3769,f2725]) ).
fof(f3769,plain,
composition(join(sK0,one),top) = join(top,meet(complement(composition(sK0,zero)),composition(sK0,top))),
inference(backward_demodulation,[],[f2919,f3629]) ).
fof(f2919,plain,
join(top,complement(join(composition(sK0,zero),complement(composition(sK0,top))))) = composition(join(sK0,one),top),
inference(forward_demodulation,[],[f2917,f28]) ).
fof(f2917,plain,
join(top,complement(join(composition(sK0,zero),complement(composition(sK0,top))))) = composition(join(one,sK0),top),
inference(backward_demodulation,[],[f570,f2915]) ).
fof(f570,plain,
join(top,complement(join(composition(sK0,zero),complement(composition(sK0,top))))) = join(top,composition(sK0,top)),
inference(superposition,[],[f109,f321]) ).
fof(f321,plain,
composition(sK0,top) = join(zero,complement(join(composition(sK0,zero),complement(composition(sK0,top))))),
inference(forward_demodulation,[],[f293,f28]) ).
fof(f293,plain,
composition(sK0,top) = join(zero,complement(join(complement(composition(sK0,top)),composition(sK0,zero)))),
inference(superposition,[],[f40,f65]) ).
fof(f65,plain,
zero = meet(composition(sK0,top),composition(sK0,zero)),
inference(superposition,[],[f22,f60]) ).
fof(f19252,plain,
! [X0,X1] : join(top,composition(X0,composition(X1,top))) = composition(join(sK0,join(one,composition(X0,X1))),top),
inference(forward_demodulation,[],[f19224,f34]) ).
fof(f19224,plain,
! [X0,X1] : join(top,composition(X0,composition(X1,top))) = composition(join(join(sK0,one),composition(X0,X1)),top),
inference(superposition,[],[f551,f15234]) ).
fof(f551,plain,
! [X2,X3,X0,X1] : composition(join(X3,composition(X0,X1)),X2) = join(composition(X3,X2),composition(X0,composition(X1,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(f438,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(superposition,[],[f32,f28]) ).
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(f23248,plain,
! [X0] : composition(X0,zero) = composition(top,zero),
inference(forward_demodulation,[],[f23247,f15225]) ).
fof(f23247,plain,
! [X0] : composition(X0,zero) = composition(join(X0,top),zero),
inference(forward_demodulation,[],[f23224,f18622]) ).
fof(f23224,plain,
! [X0] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
inference(superposition,[],[f36,f23181]) ).
fof(f26513,plain,
meet(complement(one),composition(converse(sK0),zero)) = join(meet(composition(converse(sK0),sK0),complement(one)),meet(complement(one),composition(converse(sK0),zero))),
inference(forward_demodulation,[],[f26406,f2725]) ).
fof(f26406,plain,
meet(composition(converse(sK0),zero),complement(one)) = join(meet(composition(converse(sK0),sK0),complement(one)),meet(composition(converse(sK0),zero),complement(one))),
inference(superposition,[],[f632,f41]) ).
fof(f632,plain,
! [X2,X0,X1] : meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2) = join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2)),
inference(superposition,[],[f37,f24]) ).
fof(f37,plain,
! [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)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] : 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) ).
fof(f87507,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(superposition,[],[f20076,f86893]) ).
fof(f86893,plain,
! [X0,X1] : join(meet(complement(X1),X0),meet(X1,X0)) = X0,
inference(superposition,[],[f20561,f2725]) ).
fof(f20561,plain,
! [X0,X1] : join(meet(complement(X1),X0),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f20469,f18693]) ).
fof(f20469,plain,
! [X0,X1] : join(zero,X0) = join(meet(complement(X1),X0),meet(X0,X1)),
inference(superposition,[],[f18711,f3764]) ).
fof(f3764,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f310,f3629]) ).
fof(f310,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f40,f28]) ).
fof(f18711,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,X0)),
inference(backward_demodulation,[],[f334,f18690]) ).
fof(f18690,plain,
! [X0,X1] : join(X1,X0) = join(meet(X0,X0),X1),
inference(backward_demodulation,[],[f6725,f18622]) ).
fof(f6725,plain,
! [X0,X1] : join(X1,X0) = join(meet(X0,X0),join(X1,zero)),
inference(superposition,[],[f112,f315]) ).
fof(f334,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(meet(X0,X0),X1)),
inference(superposition,[],[f34,f315]) ).
fof(f20076,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(X2,meet(X0,X1))),
inference(backward_demodulation,[],[f14305,f20053]) ).
fof(f20053,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f34,f19876]) ).
fof(f19876,plain,
! [X0,X1] : join(X1,meet(X1,X0)) = X1,
inference(superposition,[],[f19078,f3585]) ).
fof(f19078,plain,
! [X0,X1] : join(X0,meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f19061,f3577]) ).
fof(f3577,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(superposition,[],[f312,f28]) ).
fof(f19061,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = join(X0,meet(X0,complement(X1))),
inference(superposition,[],[f3791,f18974]) ).
fof(f18974,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f18952,f18798]) ).
fof(f18798,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[],[f18525,f3585]) ).
fof(f18525,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f66,f18523]) ).
fof(f18952,plain,
! [X0] : meet(X0,top) = join(meet(X0,top),meet(X0,top)),
inference(superposition,[],[f2901,f18614]) ).
fof(f14305,plain,
! [X2,X0,X1] : join(X0,join(X2,meet(X0,X1))) = join(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f14304,f3585]) ).
fof(f14304,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,complement(complement(X1))),X2)) = join(X0,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f14252,f112]) ).
fof(f14252,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,complement(complement(X1))),X2)) = join(meet(X0,X1),join(X0,X2)),
inference(superposition,[],[f3791,f3791]) ).
fof(f42,plain,
one != join(one,composition(converse(sK0),sK0)),
inference(superposition,[],[f23,f28]) ).
fof(f23,plain,
one != join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL042+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 00:12:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (4770)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (4773)WARNING: value z3 for option sas not known
% 0.14/0.38 % (4777)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 % (4776)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 % (4772)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 % (4774)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (4773)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 % (4775)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)
% 0.14/0.39 % (4771)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.47 TRYING [4]
% 0.21/0.50 TRYING [4]
% 2.61/0.75 TRYING [5]
% 5.84/1.22 TRYING [5]
% 7.75/1.49 TRYING [1]
% 7.75/1.49 TRYING [2]
% 7.93/1.50 TRYING [3]
% 8.17/1.53 TRYING [4]
% 9.28/1.72 TRYING [5]
% 10.27/1.90 TRYING [6]
% 17.12/2.88 TRYING [6]
% 17.87/2.98 % (4776)First to succeed.
% 17.87/3.00 % (4776)Refutation found. Thanks to Tanya!
% 17.87/3.00 % SZS status Theorem for theBenchmark
% 17.87/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 17.87/3.00 % (4776)------------------------------
% 17.87/3.00 % (4776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 17.87/3.00 % (4776)Termination reason: Refutation
% 17.87/3.00
% 17.87/3.00 % (4776)Memory used [KB]: 34937
% 17.87/3.00 % (4776)Time elapsed: 2.598 s
% 17.87/3.00 % (4776)Instructions burned: 5735 (million)
% 17.87/3.00 % (4776)------------------------------
% 17.87/3.00 % (4776)------------------------------
% 17.87/3.00 % (4770)Success in time 2.612 s
%------------------------------------------------------------------------------