TSTP Solution File: REL002-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL002-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 May 21 02:35:15 EDT 2024
% Result : Unsatisfiable 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 89 ( 89 unt; 0 def)
% Number of atoms : 89 ( 88 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1677,plain,
$false,
inference(trivial_inequality_removal,[],[f1676]) ).
fof(f1676,plain,
top != top,
inference(superposition,[],[f14,f1654]) ).
fof(f1654,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1653,f1633]) ).
fof(f1633,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1626,f1274]) ).
fof(f1274,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f783,f1228]) ).
fof(f1228,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f1084,f559]) ).
fof(f559,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f535,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_4) ).
fof(f535,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f15,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f15,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3,f4]) ).
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_3) ).
fof(f1084,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f654,f559]) ).
fof(f654,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f624,f25]) ).
fof(f25,plain,
zero = complement(top),
inference(forward_demodulation,[],[f20,f13]) ).
fof(f20,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f624,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f605,f618]) ).
fof(f618,plain,
top = join(top,top),
inference(forward_demodulation,[],[f617,f355]) ).
fof(f355,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f323,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f323,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f312,f12]) ).
fof(f312,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f311,f8]) ).
fof(f311,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(X1,converse(converse(X0))),
inference(forward_demodulation,[],[f275,f31]) ).
fof(f31,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f275,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f238,f9]) ).
fof(f238,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f33,f9]) ).
fof(f33,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f617,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f616,f25]) ).
fof(f616,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f615,f607]) ).
fof(f607,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f606,f29]) ).
fof(f29,plain,
top = join(top,zero),
inference(superposition,[],[f12,f25]) ).
fof(f606,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f602,f1]) ).
fof(f602,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f363,f572]) ).
fof(f572,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f571,f180]) ).
fof(f180,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f167,f12]) ).
fof(f167,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f29]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f571,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f542,f1]) ).
fof(f542,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f15,f65]) ).
fof(f65,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f56,f25]) ).
fof(f56,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f30,f12]) ).
fof(f30,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f26,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f25]) ).
fof(f363,plain,
! [X0] : join(top,X0) = join(join(zero,X0),top),
inference(forward_demodulation,[],[f334,f8]) ).
fof(f334,plain,
! [X0] : join(join(zero,X0),top) = converse(converse(join(top,X0))),
inference(superposition,[],[f312,f167]) ).
fof(f615,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f612,f1]) ).
fof(f612,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f15,f600]) ).
fof(f600,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f30,f572]) ).
fof(f605,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f572]) ).
fof(f783,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f21,f779]) ).
fof(f779,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f778,f566]) ).
fof(f566,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f539,f1]) ).
fof(f539,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f15,f94]) ).
fof(f94,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f82,f25]) ).
fof(f82,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f21,f12]) ).
fof(f778,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f777,f1]) ).
fof(f777,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[],[f776,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f776,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f765,f85]) ).
fof(f85,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f21,f4]) ).
fof(f765,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(superposition,[],[f718,f4]) ).
fof(f718,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f578,f1]) ).
fof(f578,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f551,f25]) ).
fof(f551,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f15,f12]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f1626,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1619,f12]) ).
fof(f1619,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f158,f1564]) ).
fof(f1564,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1444,f1274]) ).
fof(f1444,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1433,f1442]) ).
fof(f1442,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f1419,f1430]) ).
fof(f1430,plain,
one = converse(one),
inference(superposition,[],[f1419,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f1419,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f1396,f8]) ).
fof(f1396,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f69,f6]) ).
fof(f69,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f1433,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f11,f1419]) ).
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_11) ).
fof(f158,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1653,plain,
! [X0,X1] : join(X0,top) = join(top,join(X0,X1)),
inference(forward_demodulation,[],[f1642,f1084]) ).
fof(f1642,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(zero,join(X0,top)),
inference(backward_demodulation,[],[f1073,f1633]) ).
fof(f1073,plain,
! [X0,X1] : join(top,join(X0,X1)) = join(zero,join(X0,join(top,X1))),
inference(forward_demodulation,[],[f1072,f2]) ).
fof(f1072,plain,
! [X0,X1] : join(join(top,X0),X1) = join(zero,join(X0,join(top,X1))),
inference(forward_demodulation,[],[f1063,f2]) ).
fof(f1063,plain,
! [X0,X1] : join(join(top,X0),X1) = join(zero,join(join(X0,top),X1)),
inference(superposition,[],[f2,f522]) ).
fof(f522,plain,
! [X0] : join(top,X0) = join(zero,join(X0,top)),
inference(superposition,[],[f363,f2]) ).
fof(f14,axiom,
top != join(sk1,top),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : REL002-1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 20 08:14:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (25942)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (25945)WARNING: value z3 for option sas not known
% 0.15/0.32 % (25943)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (25944)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (25945)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)
% 0.15/0.32 % (25946)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (25947)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)
% 0.15/0.32 % (25948)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)
% 0.15/0.32 % (25949)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [3]
% 0.15/0.35 TRYING [4]
% 0.15/0.35 % (25948)First to succeed.
% 0.15/0.35 % (25948)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25942"
% 0.15/0.35 % (25948)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (25948)------------------------------
% 0.15/0.36 % (25948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36 % (25948)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (25948)Memory used [KB]: 1424
% 0.15/0.36 % (25948)Time elapsed: 0.035 s
% 0.15/0.36 % (25948)Instructions burned: 105 (million)
% 0.15/0.36 % (25942)Success in time 0.027 s
%------------------------------------------------------------------------------