TSTP Solution File: REL048-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL048-1 : 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 : n017.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 08:53:11 EDT 2024
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 13
% Syntax : Number of formulae : 93 ( 90 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 3 |; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 102 ( 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3334,plain,
$false,
inference(trivial_inequality_removal,[],[f3331]) ).
fof(f3331,plain,
sk3 != sk3,
inference(superposition,[],[f3308,f3306]) ).
fof(f3306,plain,
sk3 = join(sk1,sk3),
inference(backward_demodulation,[],[f170,f3302]) ).
fof(f3302,plain,
sk3 = join(sk3,sk2),
inference(forward_demodulation,[],[f3301,f3281]) ).
fof(f3281,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),zero) = X0,
inference(forward_demodulation,[],[f3268,f30]) ).
fof(f30,plain,
zero = complement(top),
inference(forward_demodulation,[],[f25,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f25,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(f3268,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(top)) = X0,
inference(superposition,[],[f16,f2875]) ).
fof(f2875,plain,
! [X0,X1] : top = join(complement(X1),join(X1,X0)),
inference(superposition,[],[f2688,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2688,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(superposition,[],[f2516,f2]) ).
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(f2516,plain,
! [X0,X1] : top = join(join(complement(X0),X1),X0),
inference(superposition,[],[f2132,f16]) ).
fof(f2132,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1791,f2106]) ).
fof(f2106,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f2057,f2105]) ).
fof(f2105,plain,
! [X0] : top = join(sk3,join(complement(sk2),X0)),
inference(forward_demodulation,[],[f2104,f1986]) ).
fof(f1986,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1794,f1850]) ).
fof(f1850,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1789,f12]) ).
fof(f1789,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f145,f1507]) ).
fof(f1507,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1496,f1505]) ).
fof(f1505,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f1482,f1493]) ).
fof(f1493,plain,
one = converse(one),
inference(superposition,[],[f1482,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f1482,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f1462,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f1462,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f74,f6]) ).
fof(f74,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(f1496,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f11,f1482]) ).
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(f145,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1794,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f145,f12]) ).
fof(f2104,plain,
! [X0] : join(sk3,top) = join(sk3,join(complement(sk2),X0)),
inference(forward_demodulation,[],[f2008,f1986]) ).
fof(f2008,plain,
! [X0] : join(sk3,join(sk1,top)) = join(sk3,join(complement(sk2),X0)),
inference(backward_demodulation,[],[f1179,f1986]) ).
fof(f1179,plain,
! [X0] : join(sk3,join(complement(sk2),X0)) = join(sk3,join(sk1,join(X0,top))),
inference(superposition,[],[f233,f1]) ).
fof(f233,plain,
! [X0] : join(sk3,join(complement(sk2),X0)) = join(sk3,join(sk1,join(top,X0))),
inference(forward_demodulation,[],[f232,f2]) ).
fof(f232,plain,
! [X0] : join(sk3,join(join(sk1,top),X0)) = join(sk3,join(complement(sk2),X0)),
inference(forward_demodulation,[],[f231,f2]) ).
fof(f231,plain,
! [X0] : join(sk3,join(join(sk1,top),X0)) = join(join(sk3,complement(sk2)),X0),
inference(superposition,[],[f2,f221]) ).
fof(f221,plain,
join(sk3,complement(sk2)) = join(sk3,join(sk1,top)),
inference(superposition,[],[f169,f12]) ).
fof(f169,plain,
! [X0] : join(sk3,X0) = join(sk3,join(sk1,join(sk2,X0))),
inference(forward_demodulation,[],[f154,f2]) ).
fof(f154,plain,
! [X0] : join(sk3,X0) = join(sk3,join(join(sk1,sk2),X0)),
inference(superposition,[],[f2,f17]) ).
fof(f17,plain,
sk3 = join(sk3,join(sk1,sk2)),
inference(superposition,[],[f1,f14]) ).
fof(f14,axiom,
sk3 = join(join(sk1,sk2),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f2057,plain,
! [X0] : join(top,X0) = join(sk3,join(complement(sk2),X0)),
inference(backward_demodulation,[],[f1189,f2055]) ).
fof(f2055,plain,
! [X0,X1] : join(top,X1) = join(sk3,join(complement(sk2),join(X0,X1))),
inference(forward_demodulation,[],[f2054,f2030]) ).
fof(f2030,plain,
! [X0,X1] : join(top,X1) = join(X0,join(top,X1)),
inference(forward_demodulation,[],[f1993,f199]) ).
fof(f199,plain,
! [X0] : join(top,X0) = join(top,join(sk1,join(sk2,X0))),
inference(forward_demodulation,[],[f198,f2]) ).
fof(f198,plain,
! [X0] : join(top,X0) = join(top,join(join(sk1,sk2),X0)),
inference(superposition,[],[f2,f190]) ).
fof(f190,plain,
top = join(top,join(sk1,sk2)),
inference(superposition,[],[f175,f1]) ).
fof(f175,plain,
top = join(join(sk1,sk2),top),
inference(superposition,[],[f149,f12]) ).
fof(f149,plain,
! [X0] : join(sk3,X0) = join(join(sk1,sk2),join(sk3,X0)),
inference(superposition,[],[f2,f14]) ).
fof(f1993,plain,
! [X0,X1] : join(X0,join(top,X1)) = join(top,join(sk1,join(sk2,X1))),
inference(backward_demodulation,[],[f484,f1986]) ).
fof(f484,plain,
! [X0,X1] : join(X0,join(top,X1)) = join(join(X0,top),join(sk1,join(sk2,X1))),
inference(forward_demodulation,[],[f483,f2]) ).
fof(f483,plain,
! [X0,X1] : join(join(X0,top),X1) = join(join(X0,top),join(sk1,join(sk2,X1))),
inference(forward_demodulation,[],[f480,f2]) ).
fof(f480,plain,
! [X0,X1] : join(join(X0,top),X1) = join(join(X0,top),join(join(sk1,sk2),X1)),
inference(superposition,[],[f2,f435]) ).
fof(f435,plain,
! [X0] : join(X0,top) = join(join(X0,top),join(sk1,sk2)),
inference(superposition,[],[f330,f1]) ).
fof(f330,plain,
! [X0] : join(X0,top) = join(join(sk1,sk2),join(X0,top)),
inference(superposition,[],[f193,f1]) ).
fof(f193,plain,
! [X0] : join(top,X0) = join(join(sk1,sk2),join(top,X0)),
inference(superposition,[],[f2,f175]) ).
fof(f2054,plain,
! [X0,X1] : join(sk3,join(complement(sk2),join(X0,X1))) = join(sk3,join(top,X1)),
inference(forward_demodulation,[],[f2034,f2030]) ).
fof(f2034,plain,
! [X0,X1] : join(sk3,join(complement(sk2),join(X0,X1))) = join(sk3,join(sk1,join(top,X1))),
inference(backward_demodulation,[],[f1345,f2030]) ).
fof(f1345,plain,
! [X0,X1] : join(sk3,join(complement(sk2),join(X0,X1))) = join(sk3,join(sk1,join(X0,join(top,X1)))),
inference(forward_demodulation,[],[f1344,f2]) ).
fof(f1344,plain,
! [X0,X1] : join(sk3,join(join(complement(sk2),X0),X1)) = join(sk3,join(sk1,join(X0,join(top,X1)))),
inference(forward_demodulation,[],[f1343,f2]) ).
fof(f1343,plain,
! [X0,X1] : join(join(sk3,join(complement(sk2),X0)),X1) = join(sk3,join(sk1,join(X0,join(top,X1)))),
inference(forward_demodulation,[],[f1342,f2]) ).
fof(f1342,plain,
! [X0,X1] : join(join(sk3,join(complement(sk2),X0)),X1) = join(sk3,join(sk1,join(join(X0,top),X1))),
inference(forward_demodulation,[],[f1334,f2]) ).
fof(f1334,plain,
! [X0,X1] : join(join(sk3,join(complement(sk2),X0)),X1) = join(sk3,join(join(sk1,join(X0,top)),X1)),
inference(superposition,[],[f2,f1179]) ).
fof(f1189,plain,
! [X0] : join(sk3,join(complement(sk2),X0)) = join(sk3,join(complement(sk2),join(converse(join(sk1,sk2)),X0))),
inference(forward_demodulation,[],[f1163,f233]) ).
fof(f1163,plain,
! [X0] : join(sk3,join(sk1,join(top,X0))) = join(sk3,join(complement(sk2),join(converse(join(sk1,sk2)),X0))),
inference(superposition,[],[f233,f220]) ).
fof(f220,plain,
! [X0] : join(top,X0) = join(top,join(converse(join(sk1,sk2)),X0)),
inference(superposition,[],[f2,f211]) ).
fof(f211,plain,
top = join(top,converse(join(sk1,sk2))),
inference(forward_demodulation,[],[f209,f8]) ).
fof(f209,plain,
converse(converse(top)) = join(top,converse(join(sk1,sk2))),
inference(superposition,[],[f31,f201]) ).
fof(f201,plain,
converse(top) = join(converse(top),join(sk1,sk2)),
inference(superposition,[],[f178,f1]) ).
fof(f178,plain,
converse(top) = join(join(sk1,sk2),converse(top)),
inference(superposition,[],[f149,f121]) ).
fof(f121,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f31,f12]) ).
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(f1791,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f145,f1]) ).
fof(f16,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(f3301,plain,
join(sk3,sk2) = join(meet(sk3,join(sk3,sk2)),zero),
inference(forward_demodulation,[],[f3300,f90]) ).
fof(f90,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f26,f4]) ).
fof(f26,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f3300,plain,
join(sk3,sk2) = join(meet(join(sk3,sk2),sk3),zero),
inference(forward_demodulation,[],[f3290,f30]) ).
fof(f3290,plain,
join(sk3,sk2) = join(meet(join(sk3,sk2),sk3),complement(top)),
inference(superposition,[],[f16,f2914]) ).
fof(f2914,plain,
top = join(complement(join(sk3,sk2)),sk3),
inference(superposition,[],[f2688,f170]) ).
fof(f170,plain,
sk3 = join(sk1,join(sk3,sk2)),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f155,plain,
sk3 = join(sk1,join(sk2,sk3)),
inference(superposition,[],[f2,f14]) ).
fof(f3308,plain,
sk3 != join(sk1,sk3),
inference(trivial_inequality_removal,[],[f3307]) ).
fof(f3307,plain,
( sk3 != sk3
| sk3 != join(sk1,sk3) ),
inference(backward_demodulation,[],[f20,f3302]) ).
fof(f20,plain,
( sk3 != join(sk3,sk2)
| sk3 != join(sk1,sk3) ),
inference(superposition,[],[f15,f1]) ).
fof(f15,axiom,
( sk3 != join(sk2,sk3)
| sk3 != join(sk1,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL048-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 15:34:52 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (3325)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (3328)WARNING: value z3 for option sas not known
% 0.12/0.36 % (3328)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)
% 0.12/0.36 % (3332)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)
% 0.12/0.36 % (3330)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)
% 0.12/0.36 % (3331)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)
% 0.12/0.36 % (3327)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (3329)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (3326)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.38 TRYING [4]
% 0.12/0.38 TRYING [3]
% 0.18/0.43 TRYING [4]
% 0.18/0.43 TRYING [5]
% 0.18/0.47 % (3331)First to succeed.
% 0.18/0.47 % (3331)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3325"
% 0.18/0.47 % (3331)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3331)------------------------------
% 0.18/0.47 % (3331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.47 % (3331)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (3331)Memory used [KB]: 2286
% 0.18/0.47 % (3331)Time elapsed: 0.113 s
% 0.18/0.47 % (3331)Instructions burned: 215 (million)
% 0.18/0.47 % (3325)Success in time 0.129 s
%------------------------------------------------------------------------------