TSTP Solution File: REL023-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL023-2 : 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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:53:01 EDT 2024
% Result : Unsatisfiable 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 8
% Syntax : Number of formulae : 73 ( 73 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3236,plain,
$false,
inference(trivial_inequality_removal,[],[f3235]) ).
fof(f3235,plain,
composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(backward_demodulation,[],[f554,f3221]) ).
fof(f3221,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f2845,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2845,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f1674,f1442]) ).
fof(f1442,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f18,f1424]) ).
fof(f1424,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(backward_demodulation,[],[f865,f1423]) ).
fof(f1423,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f859,f1394]) ).
fof(f1394,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f858,f1392]) ).
fof(f1392,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[],[f1391,f900]) ).
fof(f900,plain,
! [X0] : join(zero,meet(X0,meet(top,X0))) = X0,
inference(backward_demodulation,[],[f513,f858]) ).
fof(f513,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f386,f1]) ).
fof(f386,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f366,f26]) ).
fof(f26,plain,
zero = complement(top),
inference(forward_demodulation,[],[f21,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f21,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(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(f366,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f18,f12]) ).
fof(f1391,plain,
! [X0] : meet(top,X0) = join(zero,meet(X0,meet(top,X0))),
inference(forward_demodulation,[],[f1390,f128]) ).
fof(f128,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f22,f4]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f1390,plain,
! [X0] : meet(top,X0) = join(zero,meet(meet(top,X0),X0)),
inference(forward_demodulation,[],[f1381,f4]) ).
fof(f1381,plain,
! [X0] : meet(top,X0) = join(zero,complement(join(complement(meet(top,X0)),complement(X0)))),
inference(superposition,[],[f18,f875]) ).
fof(f875,plain,
! [X0] : zero = meet(meet(top,X0),complement(X0)),
inference(backward_demodulation,[],[f141,f840]) ).
fof(f840,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f464,f373]) ).
fof(f373,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f352,f4]) ).
fof(f352,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f18,f13]) ).
fof(f464,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f432,f26]) ).
fof(f432,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f404,f427]) ).
fof(f427,plain,
top = join(top,top),
inference(forward_demodulation,[],[f418,f12]) ).
fof(f418,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f413,f1]) ).
fof(f413,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f412,f26]) ).
fof(f412,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f411,f405]) ).
fof(f405,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f403,f30]) ).
fof(f30,plain,
top = join(top,zero),
inference(superposition,[],[f12,f26]) ).
fof(f403,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f84,f385]) ).
fof(f385,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f384,f96]) ).
fof(f96,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f84,f12]) ).
fof(f384,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f359,f1]) ).
fof(f359,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f18,f68]) ).
fof(f68,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f57,f26]) ).
fof(f57,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f31,f12]) ).
fof(f31,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f27,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f26]) ).
fof(f84,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f30]) ).
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(f411,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f408,f1]) ).
fof(f408,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f18,f401]) ).
fof(f401,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f31,f385]) ).
fof(f404,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f385]) ).
fof(f141,plain,
! [X0] : zero = meet(meet(top,X0),join(zero,complement(X0))),
inference(superposition,[],[f137,f28]) ).
fof(f28,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f4,f26]) ).
fof(f137,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f125,f26]) ).
fof(f125,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f22,f12]) ).
fof(f858,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f28,f840]) ).
fof(f859,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f31,f840]) ).
fof(f865,plain,
! [X0,X1] : complement(join(complement(X1),meet(X0,top))) = meet(X1,complement(X0)),
inference(backward_demodulation,[],[f61,f840]) ).
fof(f61,plain,
! [X0,X1] : meet(X1,join(zero,complement(X0))) = complement(join(complement(X1),meet(X0,top))),
inference(superposition,[],[f4,f31]) ).
fof(f18,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(f1674,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f1661]) ).
fof(f1661,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1657,f1394]) ).
fof(f1657,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f1394,f1638]) ).
fof(f1638,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(superposition,[],[f1406,f840]) ).
fof(f1406,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f898,f1392]) ).
fof(f898,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,meet(top,X0)))),
inference(backward_demodulation,[],[f379,f858]) ).
fof(f379,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f356,f1]) ).
fof(f356,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f18,f137]) ).
fof(f554,plain,
composition(sk1,meet(sk2,sk3)) != composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)),
inference(forward_demodulation,[],[f542,f1]) ).
fof(f542,plain,
composition(sk1,meet(sk2,sk3)) != composition(join(meet(sk1,converse(sk2)),sk1),meet(sk2,sk3)),
inference(superposition,[],[f17,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f17,axiom,
composition(sk1,meet(sk2,sk3)) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : REL023-2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n024.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 : Fri May 3 15:38:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (16223)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (16231)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 % (16227)WARNING: value z3 for option sas not known
% 0.14/0.38 % (16224)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (16226)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 % (16227)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 % (16228)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (16229)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)
% 0.14/0.38 % (16230)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.42 TRYING [3]
% 0.22/0.48 TRYING [4]
% 0.22/0.50 % (16230)First to succeed.
% 0.22/0.50 % (16230)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16223"
% 0.22/0.50 % (16230)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (16230)------------------------------
% 0.22/0.50 % (16230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50 % (16230)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (16230)Memory used [KB]: 2098
% 0.22/0.50 % (16230)Time elapsed: 0.118 s
% 0.22/0.50 % (16230)Instructions burned: 209 (million)
% 0.22/0.50 % (16223)Success in time 0.135 s
%------------------------------------------------------------------------------