TSTP Solution File: REL023+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL023+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 : n027.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 14:48:07 EDT 2024
% Result : Theorem 1.45s 0.56s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 73 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 103 ( 97 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8477,plain,
$false,
inference(trivial_inequality_removal,[],[f8476]) ).
fof(f8476,plain,
composition(sK0,meet(sK1,sK2)) != composition(sK0,meet(sK1,sK2)),
inference(backward_demodulation,[],[f467,f8423]) ).
fof(f8423,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f8290,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/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f8290,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f1001,f33]) ).
fof(f33,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f29,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/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
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/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f1001,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f31,f995]) ).
fof(f995,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f352,f915]) ).
fof(f915,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f754,f365]) ).
fof(f365,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f204,f360]) ).
fof(f360,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f27,f352]) ).
fof(f204,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f188,f27]) ).
fof(f188,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f33,f22]) ).
fof(f22,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f754,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f365,f544]) ).
fof(f544,plain,
! [X0] : complement(X0) = complement(complement(complement(X0))),
inference(superposition,[],[f515,f373]) ).
fof(f373,plain,
! [X0] : complement(X0) = meet(complement(X0),top),
inference(superposition,[],[f54,f365]) ).
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(f49,plain,
zero = complement(top),
inference(forward_demodulation,[],[f44,f22]) ).
fof(f44,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f27,f23]) ).
fof(f23,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f515,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X0,X1))),
inference(backward_demodulation,[],[f27,f514]) ).
fof(f514,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f513,f492]) ).
fof(f492,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f489,f24]) ).
fof(f489,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f33,f479]) ).
fof(f479,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f474,f49]) ).
fof(f474,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f27,f416]) ).
fof(f416,plain,
! [X0] : top = join(complement(complement(X0)),complement(X0)),
inference(superposition,[],[f393,f374]) ).
fof(f374,plain,
! [X0] : complement(X0) = meet(top,complement(X0)),
inference(superposition,[],[f51,f365]) ).
fof(f51,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f27,f49]) ).
fof(f393,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[],[f392,f27]) ).
fof(f392,plain,
! [X0] : top = join(complement(X0),complement(join(complement(top),complement(X0)))),
inference(superposition,[],[f33,f374]) ).
fof(f513,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f506,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(f506,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f498,f27]) ).
fof(f498,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f217,f24]) ).
fof(f217,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f199,f49]) ).
fof(f199,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f33,f23]) ).
fof(f352,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f351,f184]) ).
fof(f184,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f167,f176]) ).
fof(f176,plain,
one = converse(one),
inference(superposition,[],[f167,f21]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f167,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f153,f20]) ).
fof(f20,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f153,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/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f351,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f333,f184]) ).
fof(f333,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f28,f176]) ).
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/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
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/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f467,plain,
composition(sK0,meet(sK1,sK2)) != composition(join(sK0,meet(sK0,converse(sK1))),meet(sK1,sK2)),
inference(forward_demodulation,[],[f461,f24]) ).
fof(f461,plain,
composition(sK0,meet(sK1,sK2)) != composition(join(meet(sK0,converse(sK1)),sK0),meet(sK1,sK2)),
inference(superposition,[],[f19,f32]) ).
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/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f19,plain,
composition(sK0,meet(sK1,sK2)) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(sK0,meet(sK1,sK2))),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
composition(sK0,meet(sK1,sK2)) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(sK0,meet(sK1,sK2))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1,X2] : composition(X0,meet(X1,X2)) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2)))
=> composition(sK0,meet(sK1,sK2)) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(sK0,meet(sK1,sK2))) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] : composition(X0,meet(X1,X2)) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : composition(X0,meet(X1,X2)) = join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X2] : composition(X0,meet(X1,X2)) = join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 00:45:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8354)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (8357)WARNING: value z3 for option sas not known
% 0.21/0.38 % (8357)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)
% 0.21/0.38 % (8356)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (8358)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (8355)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (8359)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)
% 0.21/0.38 % (8360)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)
% 0.21/0.38 % (8361)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [4]
% 0.21/0.46 TRYING [5]
% 0.21/0.49 TRYING [4]
% 1.45/0.56 % (8360)First to succeed.
% 1.45/0.56 % (8360)Refutation found. Thanks to Tanya!
% 1.45/0.56 % SZS status Theorem for theBenchmark
% 1.45/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.56 % (8360)------------------------------
% 1.45/0.56 % (8360)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.45/0.56 % (8360)Termination reason: Refutation
% 1.45/0.56
% 1.45/0.56 % (8360)Memory used [KB]: 3476
% 1.45/0.56 % (8360)Time elapsed: 0.184 s
% 1.45/0.56 % (8360)Instructions burned: 443 (million)
% 1.45/0.56 % (8360)------------------------------
% 1.45/0.56 % (8360)------------------------------
% 1.45/0.56 % (8354)Success in time 0.189 s
%------------------------------------------------------------------------------