TSTP Solution File: REL004+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL004+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 : n026.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 14:47:58 EDT 2024
% Result : Theorem 35.22s 5.37s
% Output : Refutation 35.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 16
% Syntax : Number of formulae : 192 ( 191 unt; 0 def)
% Number of atoms : 193 ( 192 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 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 : 259 ( 257 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155596,plain,
$false,
inference(trivial_inequality_removal,[],[f155461]) ).
fof(f155461,plain,
converse(complement(sK0)) != converse(complement(sK0)),
inference(superposition,[],[f22,f153679]) ).
fof(f153679,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(backward_demodulation,[],[f54596,f153202]) ).
fof(f153202,plain,
! [X0] : converse(complement(X0)) = join(zero,meet(converse(complement(X0)),complement(converse(X0)))),
inference(superposition,[],[f2603,f152880]) ).
fof(f152880,plain,
! [X0] : zero = meet(converse(X0),converse(complement(X0))),
inference(superposition,[],[f121131,f439]) ).
fof(f439,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f382,f27]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f382,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f262,f190]) ).
fof(f190,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f173,f30]) ).
fof(f30,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f173,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f39,f25]) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f39,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f32,f30]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f262,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f242,f55]) ).
fof(f55,plain,
zero = complement(top),
inference(forward_demodulation,[],[f50,f25]) ).
fof(f50,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f30,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(f242,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f218,f237]) ).
fof(f237,plain,
top = join(top,top),
inference(forward_demodulation,[],[f230,f26]) ).
fof(f230,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f225,f27]) ).
fof(f225,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f224,f55]) ).
fof(f224,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f223,f219]) ).
fof(f219,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f217,f58]) ).
fof(f58,plain,
top = join(top,zero),
inference(superposition,[],[f26,f55]) ).
fof(f217,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f74,f201]) ).
fof(f201,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f200,f108]) ).
fof(f108,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f74,f26]) ).
fof(f200,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f178,f27]) ).
fof(f178,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f39,f105]) ).
fof(f105,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f94,f55]) ).
fof(f94,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f60,f26]) ).
fof(f60,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f56,f27]) ).
fof(f56,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f30,f55]) ).
fof(f74,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f33,f58]) ).
fof(f33,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f223,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f222,f27]) ).
fof(f222,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f39,f215]) ).
fof(f215,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f60,f201]) ).
fof(f218,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f33,f201]) ).
fof(f121131,plain,
! [X0] : zero = join(meet(converse(X0),converse(complement(X0))),zero),
inference(backward_demodulation,[],[f56961,f120850]) ).
fof(f120850,plain,
! [X2] : zero = composition(zero,X2),
inference(forward_demodulation,[],[f120814,f120804]) ).
fof(f120804,plain,
! [X0,X1] : zero = composition(converse(X1),composition(zero,X0)),
inference(backward_demodulation,[],[f2046,f120801]) ).
fof(f120801,plain,
! [X0,X1] : zero = converse(composition(X0,composition(zero,X1))),
inference(forward_demodulation,[],[f120748,f119853]) ).
fof(f119853,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f119852,f119819]) ).
fof(f119819,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f119818,f119476]) ).
fof(f119476,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f119219,f1260]) ).
fof(f1260,plain,
top = converse(top),
inference(backward_demodulation,[],[f1246,f1254]) ).
fof(f1254,plain,
top = join(top,converse(top)),
inference(superposition,[],[f1253,f27]) ).
fof(f1253,plain,
top = join(converse(top),top),
inference(forward_demodulation,[],[f1251,f23]) ).
fof(f23,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(f1251,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f41,f1246]) ).
fof(f41,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f28,f23]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f1246,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f289,f145]) ).
fof(f145,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f40,f26]) ).
fof(f40,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f28,f23]) ).
fof(f289,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f33,f237]) ).
fof(f119219,plain,
! [X0] : zero = composition(X0,complement(composition(converse(X0),top))),
inference(superposition,[],[f7688,f439]) ).
fof(f7688,plain,
! [X0] : zero = join(composition(X0,complement(composition(converse(X0),top))),zero),
inference(superposition,[],[f272,f55]) ).
fof(f272,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f31,f23]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f119818,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f119817,f2775]) ).
fof(f2775,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f2659,f2674]) ).
fof(f2674,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f2655,f26]) ).
fof(f2655,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f61,f2482]) ).
fof(f2482,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f2112,f2233]) ).
fof(f2233,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2229,f436]) ).
fof(f436,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f382,f190]) ).
fof(f2229,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f30,f2112]) ).
fof(f2112,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f2070,f2093]) ).
fof(f2093,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f2050,f2067]) ).
fof(f2067,plain,
one = converse(one),
inference(superposition,[],[f2050,f24]) ).
fof(f24,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(f2050,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f2022,f23]) ).
fof(f2022,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f47,f24]) ).
fof(f47,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f23]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f2070,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f31,f2050]) ).
fof(f61,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f33,f26]) ).
fof(f2659,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f61,f26]) ).
fof(f119817,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f119760,f439]) ).
fof(f119760,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f35,f119476]) ).
fof(f35,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f119852,plain,
! [X0,X1] : composition(X0,zero) = composition(join(composition(X0,X1),top),complement(composition(top,top))),
inference(forward_demodulation,[],[f119851,f119819]) ).
fof(f119851,plain,
! [X0,X1] : composition(join(composition(X0,X1),top),complement(composition(top,top))) = composition(X0,composition(X1,complement(composition(top,top)))),
inference(forward_demodulation,[],[f119772,f439]) ).
fof(f119772,plain,
! [X0,X1] : composition(join(composition(X0,X1),top),complement(composition(top,top))) = join(composition(X0,composition(X1,complement(composition(top,top)))),zero),
inference(superposition,[],[f333,f119476]) ).
fof(f333,plain,
! [X2,X3,X0,X1] : composition(join(composition(X0,X1),X3),X2) = join(composition(X0,composition(X1,X2)),composition(X3,X2)),
inference(superposition,[],[f35,f34]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f120748,plain,
! [X0,X1] : composition(converse(X1),zero) = converse(composition(X0,composition(zero,X1))),
inference(backward_demodulation,[],[f7647,f120747]) ).
fof(f120747,plain,
! [X0] : zero = composition(zero,converse(X0)),
inference(forward_demodulation,[],[f119854,f513]) ).
fof(f513,plain,
zero = converse(zero),
inference(superposition,[],[f508,f382]) ).
fof(f508,plain,
! [X0] : join(X0,converse(zero)) = X0,
inference(forward_demodulation,[],[f506,f23]) ).
fof(f506,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(superposition,[],[f40,f439]) ).
fof(f119854,plain,
! [X0] : converse(zero) = composition(zero,converse(X0)),
inference(backward_demodulation,[],[f537,f119853]) ).
fof(f537,plain,
! [X0] : converse(composition(X0,zero)) = composition(zero,converse(X0)),
inference(superposition,[],[f29,f513]) ).
fof(f7647,plain,
! [X0,X1] : converse(composition(X0,composition(zero,X1))) = composition(converse(X1),composition(zero,converse(X0))),
inference(forward_demodulation,[],[f7620,f34]) ).
fof(f7620,plain,
! [X0,X1] : converse(composition(composition(X0,zero),X1)) = composition(converse(X1),composition(zero,converse(X0))),
inference(superposition,[],[f29,f537]) ).
fof(f2046,plain,
! [X0,X1] : composition(converse(X1),composition(zero,X0)) = converse(composition(converse(X0),composition(zero,X1))),
inference(forward_demodulation,[],[f2014,f34]) ).
fof(f2014,plain,
! [X0,X1] : composition(converse(X1),composition(zero,X0)) = converse(composition(composition(converse(X0),zero),X1)),
inference(superposition,[],[f47,f536]) ).
fof(f536,plain,
! [X0] : converse(composition(zero,X0)) = composition(converse(X0),zero),
inference(superposition,[],[f29,f513]) ).
fof(f120814,plain,
! [X2,X0,X1] : composition(zero,X2) = composition(converse(X1),composition(zero,composition(X0,X2))),
inference(backward_demodulation,[],[f10248,f120804]) ).
fof(f10248,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(composition(converse(X1),composition(zero,X0)),X2),
inference(forward_demodulation,[],[f10247,f34]) ).
fof(f10247,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(composition(composition(converse(X1),zero),X0),X2),
inference(forward_demodulation,[],[f10246,f536]) ).
fof(f10246,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(composition(converse(composition(zero,X1)),X0),X2),
inference(forward_demodulation,[],[f10245,f47]) ).
fof(f10245,plain,
! [X2,X0,X1] : composition(converse(X1),composition(zero,composition(X0,X2))) = composition(converse(composition(converse(X0),composition(zero,X1))),X2),
inference(forward_demodulation,[],[f10244,f34]) ).
fof(f10244,plain,
! [X2,X0,X1] : composition(converse(composition(composition(converse(X0),zero),X1)),X2) = composition(converse(X1),composition(zero,composition(X0,X2))),
inference(forward_demodulation,[],[f10153,f34]) ).
fof(f10153,plain,
! [X2,X0,X1] : composition(converse(composition(composition(converse(X0),zero),X1)),X2) = composition(converse(X1),composition(composition(zero,X0),X2)),
inference(superposition,[],[f115,f1945]) ).
fof(f1945,plain,
! [X0] : composition(zero,X0) = converse(composition(converse(X0),zero)),
inference(superposition,[],[f23,f536]) ).
fof(f115,plain,
! [X2,X0,X1] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(superposition,[],[f34,f29]) ).
fof(f56961,plain,
! [X0] : composition(zero,meet(converse(X0),converse(complement(X0)))) = join(meet(converse(X0),converse(complement(X0))),composition(zero,meet(converse(X0),converse(complement(X0))))),
inference(forward_demodulation,[],[f56960,f2093]) ).
fof(f56960,plain,
! [X0] : composition(zero,meet(converse(X0),converse(complement(X0)))) = join(meet(converse(X0),composition(one,converse(complement(X0)))),composition(zero,meet(converse(X0),converse(complement(X0))))),
inference(forward_demodulation,[],[f56959,f2578]) ).
fof(f2578,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f2344,f2233]) ).
fof(f2344,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f51,f2342]) ).
fof(f2342,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f2341,f382]) ).
fof(f2341,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f2339,f436]) ).
fof(f2339,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),complement(meet(X0,X1)))),
inference(backward_demodulation,[],[f353,f2337]) ).
fof(f2337,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = meet(complement(meet(X0,X1)),X2),
inference(backward_demodulation,[],[f48,f2282]) ).
fof(f2282,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f402,f2236]) ).
fof(f2236,plain,
! [X0] : meet(top,X0) = X0,
inference(backward_demodulation,[],[f95,f2234]) ).
fof(f2234,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f399,f2233]) ).
fof(f399,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f60,f382]) ).
fof(f95,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f60,f57]) ).
fof(f57,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f30,f55]) ).
fof(f402,plain,
! [X0,X1] : complement(join(meet(top,X0),complement(X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f80,f382]) ).
fof(f80,plain,
! [X0,X1] : meet(join(zero,complement(X0)),X1) = complement(join(meet(top,X0),complement(X1))),
inference(superposition,[],[f30,f57]) ).
fof(f48,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f30,f30]) ).
fof(f353,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f317,f30]) ).
fof(f317,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f202,f27]) ).
fof(f202,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f184,f55]) ).
fof(f184,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f39,f26]) ).
fof(f51,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f30,f27]) ).
fof(f56959,plain,
! [X0] : composition(zero,meet(converse(X0),converse(complement(X0)))) = join(meet(composition(one,converse(complement(X0))),converse(X0)),composition(zero,meet(converse(X0),converse(complement(X0))))),
inference(forward_demodulation,[],[f56958,f2578]) ).
fof(f56958,plain,
! [X0] : composition(zero,meet(converse(complement(X0)),converse(X0))) = join(meet(composition(one,converse(complement(X0))),converse(X0)),composition(zero,meet(converse(complement(X0)),converse(X0)))),
inference(forward_demodulation,[],[f56957,f24]) ).
fof(f56957,plain,
! [X0] : composition(zero,meet(converse(complement(X0)),converse(composition(X0,one)))) = join(meet(composition(one,converse(complement(X0))),converse(X0)),composition(zero,meet(converse(complement(X0)),converse(composition(X0,one))))),
inference(forward_demodulation,[],[f56721,f29]) ).
fof(f56721,plain,
! [X0] : composition(zero,meet(converse(complement(X0)),composition(converse(one),converse(X0)))) = join(meet(composition(one,converse(complement(X0))),converse(X0)),composition(zero,meet(converse(complement(X0)),composition(converse(one),converse(X0))))),
inference(superposition,[],[f807,f14066]) ).
fof(f14066,plain,
! [X0] : zero = meet(one,composition(converse(X0),complement(X0))),
inference(forward_demodulation,[],[f13941,f2233]) ).
fof(f13941,plain,
! [X0] : zero = meet(complement(complement(one)),composition(converse(X0),complement(X0))),
inference(superposition,[],[f13423,f274]) ).
fof(f274,plain,
! [X0] : complement(one) = join(composition(converse(X0),complement(X0)),complement(one)),
inference(superposition,[],[f31,f24]) ).
fof(f13423,plain,
! [X0,X1] : zero = meet(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f13320,f2233]) ).
fof(f13320,plain,
! [X0,X1] : complement(complement(zero)) = meet(complement(join(X0,X1)),X0),
inference(superposition,[],[f2344,f12959]) ).
fof(f12959,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f12883,f55]) ).
fof(f12883,plain,
! [X0,X1] : complement(top) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f2281,f2787]) ).
fof(f2787,plain,
! [X0,X1] : top = join(complement(X0),join(X0,X1)),
inference(backward_demodulation,[],[f1597,f2782]) ).
fof(f2782,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f2776,f2482]) ).
fof(f2776,plain,
! [X0] : join(top,X0) = join(top,top),
inference(backward_demodulation,[],[f1928,f2775]) ).
fof(f1928,plain,
! [X0] : join(top,X0) = join(top,join(X0,top)),
inference(superposition,[],[f1575,f33]) ).
fof(f1575,plain,
! [X0] : join(top,X0) = join(join(top,X0),top),
inference(forward_demodulation,[],[f1527,f23]) ).
fof(f1527,plain,
! [X0] : join(join(top,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f1489,f289]) ).
fof(f1489,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f1488,f23]) ).
fof(f1488,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(X1,converse(converse(X0))),
inference(forward_demodulation,[],[f1429,f40]) ).
fof(f1429,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f1311,f28]) ).
fof(f1311,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f42,f28]) ).
fof(f42,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f28,f27]) ).
fof(f1597,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f33,f1552]) ).
fof(f1552,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f1503,f23]) ).
fof(f1503,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f1489,f26]) ).
fof(f2281,plain,
! [X0,X1] : meet(X1,complement(X0)) = complement(join(complement(X1),X0)),
inference(backward_demodulation,[],[f401,f2236]) ).
fof(f401,plain,
! [X0,X1] : complement(join(complement(X1),meet(top,X0))) = meet(X1,complement(X0)),
inference(backward_demodulation,[],[f79,f382]) ).
fof(f79,plain,
! [X0,X1] : meet(X1,join(zero,complement(X0))) = complement(join(complement(X1),meet(top,X0))),
inference(superposition,[],[f30,f57]) ).
fof(f807,plain,
! [X2,X0,X1] : composition(meet(X1,composition(X2,X0)),meet(converse(X0),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X0)),X2),composition(meet(X1,composition(X2,X0)),meet(converse(X0),composition(converse(X1),X2)))),
inference(superposition,[],[f38,f23]) ).
fof(f38,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(f2603,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,complement(X1))) = X0,
inference(superposition,[],[f2332,f2578]) ).
fof(f2332,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f39,f2281]) ).
fof(f54596,plain,
! [X0] : complement(converse(X0)) = join(zero,meet(converse(complement(X0)),complement(converse(X0)))),
inference(forward_demodulation,[],[f54510,f2578]) ).
fof(f54510,plain,
! [X0] : complement(converse(X0)) = join(zero,meet(complement(converse(X0)),converse(complement(X0)))),
inference(superposition,[],[f188,f38184]) ).
fof(f38184,plain,
! [X0] : zero = meet(complement(converse(X0)),complement(converse(complement(X0)))),
inference(superposition,[],[f25466,f23]) ).
fof(f25466,plain,
! [X0] : zero = meet(complement(X0),complement(converse(complement(converse(X0))))),
inference(superposition,[],[f13008,f2233]) ).
fof(f13008,plain,
! [X0] : zero = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f12915,f55]) ).
fof(f12915,plain,
! [X0] : complement(top) = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(superposition,[],[f2281,f1261]) ).
fof(f1261,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[],[f145,f1260]) ).
fof(f188,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f39,f30]) ).
fof(f22,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f20,plain,
( ? [X0] : converse(complement(X0)) != complement(converse(X0))
=> converse(complement(sK0)) != complement(converse(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : REL004+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Apr 30 00:36:04 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (26090)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (26093)WARNING: value z3 for option sas not known
% 0.16/0.32 % (26091)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (26094)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (26097)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)
% 0.16/0.32 % (26096)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)
% 0.16/0.32 % (26093)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)
% 0.16/0.32 % (26092)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (26095)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.35 TRYING [3]
% 0.16/0.36 TRYING [3]
% 0.16/0.40 TRYING [4]
% 0.16/0.45 TRYING [4]
% 2.29/0.66 TRYING [5]
% 3.85/0.86 TRYING [5]
% 7.47/1.43 TRYING [1]
% 7.47/1.43 TRYING [2]
% 7.93/1.44 TRYING [3]
% 8.14/1.49 TRYING [4]
% 9.40/1.65 TRYING [6]
% 10.58/1.82 TRYING [5]
% 18.63/3.02 TRYING [6]
% 31.96/4.90 TRYING [6]
% 35.22/5.34 % (26096)First to succeed.
% 35.22/5.37 % (26096)Refutation found. Thanks to Tanya!
% 35.22/5.37 % SZS status Theorem for theBenchmark
% 35.22/5.37 % SZS output start Proof for theBenchmark
% See solution above
% 35.22/5.37 % (26096)------------------------------
% 35.22/5.37 % (26096)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 35.22/5.37 % (26096)Termination reason: Refutation
% 35.22/5.37
% 35.22/5.37 % (26096)Memory used [KB]: 58356
% 35.22/5.37 % (26096)Time elapsed: 5.029 s
% 35.22/5.37 % (26096)Instructions burned: 9524 (million)
% 35.22/5.37 % (26096)------------------------------
% 35.22/5.37 % (26096)------------------------------
% 35.22/5.37 % (26090)Success in time 5.04 s
%------------------------------------------------------------------------------