%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT083-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:48 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 18 ( 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 : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_4) ).
fof(f3,plain,
a != join(a,a),
inference(reorient_equations,[],[f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X2,X0),meet(X0,join(X2,X0))) = join(meet(join(meet(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),join(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))))),X3),meet(join(meet(X1,join(join(meet(X4,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X5)),join(meet(X2,X0),meet(X0,join(X2,X0))))),meet(X0,join(X1,join(join(meet(X4,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X5)),join(meet(X2,X0),meet(X0,join(X2,X0))))))),join(join(meet(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),join(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : join(meet(join(meet(X6,X0),meet(X0,join(X6,X0))),X7),meet(join(meet(X6,join(join(meet(X8,X0),meet(X0,X9)),X0)),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(X6,join(join(meet(X8,X0),meet(X0,X9)),X0)))),join(join(meet(X6,X0),meet(X0,join(X6,X0))),X7))) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f37,plain,
! [X2,X0,X1] : join(meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X0),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X0))),X2),meet(X0,join(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X0),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X0))),X2))) = X0,
inference(superposition,[],[f14,f1]) ).
fof(f61,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f37,f37]) ).
fof(f65,plain,
! [X2,X3,X0,X4,X5] : join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X3),meet(join(meet(X2,join(join(meet(X4,X0),meet(X0,X5)),X0)),meet(X0,join(X2,join(join(meet(X4,X0),meet(X0,X5)),X0)))),join(join(meet(X2,X0),meet(X0,join(X2,X0))),X3))) = X0,
inference(superposition,[],[f6,f37]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X6),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X7,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X8)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X7,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X8)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))))),join(X0,X6))),
inference(superposition,[],[f65,f1]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X4),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X5,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X6)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(X5,join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0))))),meet(join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))),X6)),join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))))))),join(X0,X4))),
inference(superposition,[],[f65,f65]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X4),meet(X0,join(X0,X4))),
inference(forward_demodulation,[],[f167,f65]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = join(meet(X0,X6),meet(X0,join(X0,X6))),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f204,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(X0,join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f195,f61]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X1,join(join(meet(X2,X0),meet(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f197,f61]) ).
fof(f215,plain,
! [X0,X1] : join(meet(X1,join(X0,X0)),meet(X0,join(X1,join(X0,X0)))) = X0,
inference(superposition,[],[f204,f37]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0)))) = X0,
inference(superposition,[],[f206,f37]) ).
fof(f569,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = X0,
inference(superposition,[],[f492,f1]) ).
fof(f659,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,join(X0,X2)),join(X3,X0)),X0) = X0,
inference(superposition,[],[f569,f492]) ).
fof(f791,plain,
! [X0,X4] : join(meet(X0,X0),meet(X4,join(X0,X0))) = X0,
inference(superposition,[],[f492,f659]) ).
fof(f1085,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f791,f215]) ).
fof(f1237,plain,
a != a,
inference(superposition,[],[f3,f1085]) ).
fof(f1238,plain,
$false,
inference(trivial_inequality_removal,[],[f1237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT083-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:02:52 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.52 % (3549903)Will run a generic schedule for satisfiability detection.
% 0.16/0.52 % (3549910)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1720933846:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.52 % (3549909)% WARNING: option uhcvi not known.
% 0.16/0.52 % (3549908)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4104409947_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.52 % (3549909)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3063902210:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.52 % (3549912)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1964931587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.52 % (3549911)dis+10_1_sil=32000:sp=arity:random_seed=2298540987:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.52 % (3549913)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4117096229:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.52 % (3549914)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1646773073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.52 % TRYING [1]
% 0.16/0.52 % TRYING [2]
% 0.16/0.52 % TRYING [3]
% 0.16/0.52 % (3549911)Instruction limit reached!
% 0.16/0.52 % (3549911)------------------------------
% 0.16/0.52 % (3549911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (3549911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (3549911)CaDiCaL version: 2.1.3
% 0.16/0.52 % (3549911)Termination reason: Instruction limit
% 0.16/0.52 % (3549911)Termination phase: Saturation
% 0.16/0.52 % (3549911)Time elapsed: 0.052 s
% 0.16/0.52 % (3549911)Peak memory usage: 14 MB
% 0.16/0.52 % (3549911)Instructions burned: 103 (million)
% 0.16/0.52 % (3549912)Instruction limit reached!
% 0.16/0.52 % (3549912)------------------------------
% 0.16/0.52 % (3549912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (3549912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (3549912)CaDiCaL version: 2.1.3
% 0.16/0.52 % (3549912)Termination reason: Instruction limit
% 0.16/0.52 % (3549912)Termination phase: Saturation
% 0.16/0.52 % (3549912)Time elapsed: 0.058 s
% 0.16/0.52 % (3549912)Peak memory usage: 15 MB
% 0.16/0.52 % (3549912)Instructions burned: 118 (million)
% 0.16/0.52 % (3549910) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3549903-3549910"...
% 0.16/0.52 % (3549910)...printing done.
% 0.16/0.52 % (3549910)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52 % (3549910)------------------------------
% 0.16/0.52 % (3549910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (3549910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (3549910)CaDiCaL version: 2.1.3
% 0.16/0.52 % (3549910)Termination reason: Refutation
% 0.16/0.52 % (3549910)Time elapsed: 0.068 s
% 0.16/0.52 % (3549910)Peak memory usage: 13 MB
% 0.16/0.52 % (3549910)Instructions burned: 254 (million)
% 0.16/0.52 % (3549903)Success in time 0.098 s
% 0.16/0.52 % Vampire exiting
%------------------------------------------------------------------------------