TSTP Solution File: LAT237-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT237-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Mon May 20 23:37:48 EDT 2024
% Result : Unsatisfiable 59.06s 8.78s
% Output : Refutation 59.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 54 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330451,plain,
$false,
inference(subsumption_resolution,[],[f330450,f6404]) ).
fof(f6404,plain,
zero != meet(a,join(complement(b),complement(a))),
inference(unit_resulting_resolution,[],[f14,f1751,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| complement(X0) = X1
| meet(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f1751,plain,
! [X0,X1] : one = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1628,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f1628,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1572,f33]) ).
fof(f33,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f25,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f25,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f16]) ).
fof(f16,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f1572,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f14,axiom,
complement(a) != join(complement(b),complement(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f330450,plain,
zero = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f330449,f10]) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f330449,plain,
meet(a,complement(a)) = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[],[f330448,f6]) ).
fof(f330448,plain,
meet(a,complement(a)) = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[],[f330447,f43]) ).
fof(f43,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f20]) ).
fof(f20,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f330447,plain,
meet(a,join(complement(a),complement(b))) = meet(a,join(zero,complement(a))),
inference(forward_demodulation,[],[f329944,f182304]) ).
fof(f182304,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f181847,f4277]) ).
fof(f4277,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f47,f1588]) ).
fof(f1588,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f8,f82]) ).
fof(f82,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f27,f3]) ).
fof(f27,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f47,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f181847,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f112392,f4277]) ).
fof(f112392,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[],[f35511,f437]) ).
fof(f437,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f7,f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f35511,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f416,f7]) ).
fof(f416,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
inference(superposition,[],[f7,f5]) ).
fof(f329944,plain,
meet(a,join(complement(a),complement(b))) = meet(a,join(complement(a),zero)),
inference(superposition,[],[f16956,f21785]) ).
fof(f21785,plain,
! [X0] : zero = meet(complement(b),join(a,meet(b,X0))),
inference(superposition,[],[f3359,f4]) ).
fof(f3359,plain,
! [X0] : zero = meet(complement(join(b,X0)),join(a,X0)),
inference(superposition,[],[f588,f1584]) ).
fof(f1584,plain,
! [X0] : join(b,X0) = join(b,join(a,X0)),
inference(superposition,[],[f8,f17]) ).
fof(f17,plain,
b = join(b,a),
inference(superposition,[],[f4,f13]) ).
fof(f13,axiom,
a = meet(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f588,plain,
! [X0,X1] : zero = meet(complement(join(X0,X1)),X1),
inference(superposition,[],[f534,f246]) ).
fof(f246,plain,
! [X0,X1] : meet(join(X1,X0),X0) = X0,
inference(superposition,[],[f168,f47]) ).
fof(f168,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f96,f5]) ).
fof(f96,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f47,f27]) ).
fof(f534,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[],[f525,f55]) ).
fof(f55,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f43,f4]) ).
fof(f525,plain,
! [X0,X1] : meet(zero,X1) = meet(complement(X0),meet(X0,X1)),
inference(superposition,[],[f7,f496]) ).
fof(f496,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(superposition,[],[f468,f168]) ).
fof(f468,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f422,f55]) ).
fof(f422,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f16956,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f16955,f47]) ).
fof(f16955,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,X1)))),
inference(forward_demodulation,[],[f16710,f16]) ).
fof(f16710,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,meet(X1,one))))),
inference(superposition,[],[f12,f9]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H40) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LAT237-1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sun May 19 19:33:53 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (18184)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (18186)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.33 % (18185)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.34 % (18188)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (18189)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)
% 0.10/0.34 % (18190)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)
% 0.10/0.34 % (18191)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)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 % (18187)WARNING: value z3 for option sas not known
% 0.10/0.34 TRYING [3]
% 0.10/0.34 % (18187)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)
% 0.10/0.35 TRYING [3]
% 0.10/0.36 TRYING [4]
% 0.10/0.38 TRYING [4]
% 0.17/0.42 TRYING [5]
% 0.17/0.51 TRYING [5]
% 2.22/0.64 TRYING [6]
% 3.21/0.84 TRYING [6]
% 6.31/1.21 TRYING [7]
% 7.50/1.43 TRYING [1]
% 7.50/1.43 TRYING [2]
% 7.50/1.43 TRYING [3]
% 7.98/1.46 TRYING [4]
% 8.39/1.53 TRYING [5]
% 9.60/1.75 TRYING [6]
% 10.71/1.89 TRYING [7]
% 14.83/2.49 TRYING [7]
% 17.38/2.81 TRYING [8]
% 26.39/4.12 TRYING [8]
% 29.53/4.58 TRYING [8]
% 40.01/6.09 TRYING [9]
% 57.50/8.61 TRYING [9]
% 58.40/8.76 % (18191)First to succeed.
% 59.06/8.77 % (18191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18184"
% 59.06/8.78 % (18191)Refutation found. Thanks to Tanya!
% 59.06/8.78 % SZS status Unsatisfiable for theBenchmark
% 59.06/8.78 % SZS output start Proof for theBenchmark
% See solution above
% 59.06/8.78 % (18191)------------------------------
% 59.06/8.78 % (18191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 59.06/8.78 % (18191)Termination reason: Refutation
% 59.06/8.78
% 59.06/8.78 % (18191)Memory used [KB]: 67295
% 59.06/8.78 % (18191)Time elapsed: 8.423 s
% 59.06/8.78 % (18191)Instructions burned: 25034 (million)
% 59.06/8.78 % (18184)Success in time 8.426 s
%------------------------------------------------------------------------------