TSTP Solution File: LAT092-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT092-1 : TPTP v8.1.2. Released v2.6.0.
% 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 13:20:42 EDT 2024
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 103 ( 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2128,plain,
$false,
inference(trivial_inequality_removal,[],[f2127]) ).
fof(f2127,plain,
a != a,
inference(superposition,[],[f2,f2018]) ).
fof(f2018,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1983,f552]) ).
fof(f552,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f464,f389]) ).
fof(f389,plain,
! [X2,X3,X1,X4] : join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1,
inference(superposition,[],[f208,f28]) ).
fof(f28,plain,
! [X0,X1,X7] : join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X7),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X7))) = X1,
inference(superposition,[],[f12,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X1),meet(X1,join(X5,X1))),X6),meet(join(meet(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(X5,join(join(meet(X1,X7),meet(X8,X1)),X1)))),join(join(meet(X5,X1),meet(X1,join(X5,X1))),X6))) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X8,X7] : join(meet(X0,X1),meet(X1,join(X0,X1))) = join(meet(join(meet(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X8),meet(join(meet(X7,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))),meet(X1,join(X7,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X3,join(meet(X0,X1),meet(X1,join(X0,X1))))),join(meet(X0,X1),meet(X1,join(X0,X1))))))),join(join(meet(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(X7,join(meet(X0,X1),meet(X1,join(X0,X1)))))),X8))),
inference(superposition,[],[f1,f1]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f207,f51]) ).
fof(f51,plain,
! [X2,X1] : join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(superposition,[],[f28,f28]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X7,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X7),meet(X1,join(X1,X7))),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X7,X4] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X7),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X7))),
inference(superposition,[],[f55,f1]) ).
fof(f55,plain,
! [X2,X3,X1,X4,X5] : join(meet(join(meet(X2,X1),meet(X1,join(X2,X1))),X3),meet(join(meet(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)),meet(X1,join(X2,join(join(meet(X1,X4),meet(X5,X1)),X1)))),join(join(meet(X2,X1),meet(X1,join(X2,X1))),X3))) = X1,
inference(superposition,[],[f5,f28]) ).
fof(f464,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[],[f389,f1]) ).
fof(f1983,plain,
! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
inference(superposition,[],[f1148,f552]) ).
fof(f1148,plain,
! [X2,X1] : meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)),
inference(forward_demodulation,[],[f1091,f464]) ).
fof(f1091,plain,
! [X2,X0,X1] : meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2) = meet(meet(X1,meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2)),meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2)),
inference(superposition,[],[f945,f1]) ).
fof(f945,plain,
! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[],[f552,f824]) ).
fof(f824,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f658,f211]) ).
fof(f211,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(X1,join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f210,f208]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = X1,
inference(forward_demodulation,[],[f209,f51]) ).
fof(f209,plain,
! [X2,X3,X10,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(X1,X10),meet(X1,join(X1,X10))),
inference(forward_demodulation,[],[f167,f12]) ).
fof(f167,plain,
! [X2,X3,X10,X0,X1,X6,X7,X4,X5] : join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))) = join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X10),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))),meet(join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X1,X2),meet(X3,X1)),X1)),meet(join(meet(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)),meet(X7,join(X1,meet(meet(join(X1,X5),join(X6,X1)),X1)))),join(X4,join(join(meet(X1,X5),meet(X6,X1)),X1)))),join(X0,join(join(meet(X1,X2),meet(X3,X1)),X1))))))),X10))),
inference(superposition,[],[f55,f12]) ).
fof(f658,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(superposition,[],[f389,f552]) ).
fof(f2,axiom,
a != meet(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT092-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Apr 29 21:15:34 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (19104)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (19110)WARNING: value z3 for option sas not known
% 0.16/0.38 % (19111)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (19108)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (19109)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (19112)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)
% 0.16/0.38 % (19110)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)
% 0.16/0.38 % (19114)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)
% 0.16/0.38 % (19113)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.42 TRYING [3]
% 0.22/0.50 % (19114)First to succeed.
% 0.22/0.51 % (19114)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (19114)------------------------------
% 0.22/0.51 % (19114)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.51 % (19114)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (19114)Memory used [KB]: 3249
% 0.22/0.51 % (19114)Time elapsed: 0.126 s
% 0.22/0.51 % (19114)Instructions burned: 314 (million)
% 0.22/0.51 % (19114)------------------------------
% 0.22/0.51 % (19114)------------------------------
% 0.22/0.51 % (19104)Success in time 0.142 s
%------------------------------------------------------------------------------