TSTP Solution File: LAT028-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT028-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 13:20:28 EDT 2024
% Result : Unsatisfiable 2.81s 0.76s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19718,plain,
$false,
inference(subsumption_resolution,[],[f19707,f3]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f19707,plain,
meet(a,b) != meet(b,a),
inference(superposition,[],[f11,f19388]) ).
fof(f19388,plain,
! [X0,X1] : meet(X1,X0) = meet2(X0,X1),
inference(forward_demodulation,[],[f19238,f15724]) ).
fof(f15724,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet2(X0,X1)),
inference(superposition,[],[f758,f15451]) ).
fof(f15451,plain,
! [X0,X1] : meet(X0,X1) = meet2(meet2(X1,X0),meet(X0,X1)),
inference(superposition,[],[f427,f136]) ).
fof(f136,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f106,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f106,plain,
! [X0,X1] : join(meet(X1,X0),X1) = X1,
inference(superposition,[],[f82,f3]) ).
fof(f82,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_2) ).
fof(f427,plain,
! [X2,X0,X1] : meet(X1,X0) = meet2(meet2(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f9,f114]) ).
fof(f114,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f82,f4]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet2(meet2(join(X0,X1),join(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_1_2) ).
fof(f758,plain,
! [X0,X1] : meet2(X0,X1) = meet(meet2(X0,X1),X0),
inference(superposition,[],[f36,f694]) ).
fof(f694,plain,
! [X0,X1] : join(meet2(X1,X0),X1) = X1,
inference(superposition,[],[f655,f8]) ).
fof(f8,axiom,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet2) ).
fof(f655,plain,
! [X0,X1] : join(meet2(X0,X1),X1) = X1,
inference(superposition,[],[f10,f2]) ).
fof(f10,axiom,
! [X2,X0,X1] : join(join(meet2(X0,X1),meet2(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_2_2) ).
fof(f36,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f27,f3]) ).
fof(f27,plain,
! [X0,X1] : meet(join(X1,X0),X1) = X1,
inference(superposition,[],[f18,f4]) ).
fof(f18,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_1) ).
fof(f19238,plain,
! [X0,X1] : meet2(X0,X1) = meet(meet(X1,X0),meet2(X0,X1)),
inference(superposition,[],[f786,f745]) ).
fof(f745,plain,
! [X0,X1] : join(X0,meet2(X0,X1)) = X0,
inference(superposition,[],[f694,f4]) ).
fof(f786,plain,
! [X2,X0,X1] : meet2(X1,X0) = meet(meet(X0,join(X2,meet2(X1,X0))),meet2(X1,X0)),
inference(superposition,[],[f5,f706]) ).
fof(f706,plain,
! [X0,X1] : join(X1,meet2(X0,X1)) = X1,
inference(superposition,[],[f655,f4]) ).
fof(f11,axiom,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',name) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT028-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n014.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 : Mon Apr 29 21:32:34 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (5301)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (5304)WARNING: value z3 for option sas not known
% 0.12/0.36 % (5305)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (5304)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 % (5307)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 % (5308)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 % (5303)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 TRYING [1]
% 0.12/0.36 % (5302)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 [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 % (5306)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 TRYING [1]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [5]
% 0.12/0.38 TRYING [4]
% 0.12/0.39 TRYING [6]
% 0.12/0.42 TRYING [5]
% 0.17/0.42 TRYING [7]
% 0.17/0.49 TRYING [8]
% 0.17/0.49 TRYING [6]
% 1.70/0.60 TRYING [9]
% 2.18/0.70 TRYING [7]
% 2.81/0.76 % (5308)First to succeed.
% 2.81/0.76 % (5308)Refutation found. Thanks to Tanya!
% 2.81/0.76 % SZS status Unsatisfiable for theBenchmark
% 2.81/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.81/0.76 % (5308)------------------------------
% 2.81/0.76 % (5308)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.81/0.76 % (5308)Termination reason: Refutation
% 2.81/0.76
% 2.81/0.76 % (5308)Memory used [KB]: 4341
% 2.81/0.76 % (5308)Time elapsed: 0.380 s
% 2.81/0.76 % (5308)Instructions burned: 806 (million)
% 2.81/0.76 % (5308)------------------------------
% 2.81/0.76 % (5308)------------------------------
% 2.81/0.76 % (5301)Success in time 0.412 s
%------------------------------------------------------------------------------