%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT094-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 11:47:50 AM UTC 2026
% Result : Unsatisfiable 0.95s 0.57s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 17 ( 2 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 : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_3) ).
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(join(meet(X2,X0),meet(X0,join(X2,X0))),X4),meet(X5,join(meet(X2,X0),meet(X0,join(X2,X0))))),join(meet(X2,X0),meet(X0,join(X2,X0))))),meet(X0,join(X1,join(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X4),meet(X5,join(meet(X2,X0),meet(X0,join(X2,X0))))),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(f13,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X0),meet(X0,join(X5,X0))),X6),meet(join(meet(X5,join(join(meet(X0,X7),meet(X8,X0)),X0)),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(X5,join(join(meet(X0,X7),meet(X8,X0)),X0)))),join(join(meet(X5,X0),meet(X0,join(X5,X0))),X6))) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f29,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,[],[f13,f1]) ).
fof(f52,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f29,f29]) ).
fof(f56,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(X0,X4),meet(X5,X0)),X0)),meet(X0,join(X2,join(join(meet(X0,X4),meet(X5,X0)),X0)))),join(join(meet(X2,X0),meet(X0,join(X2,X0))),X3))) = X0,
inference(superposition,[],[f6,f29]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X5),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X6),meet(X7,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X6),meet(X7,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))))),join(X0,X5))),
inference(superposition,[],[f56,f1]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X6,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X4),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X5),meet(X6,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X5),meet(X6,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))))),join(X0,X4))),
inference(superposition,[],[f56,f56]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X4),meet(X0,join(X0,X4))),
inference(forward_demodulation,[],[f144,f56]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X5),meet(X0,join(X0,X5))),
inference(forward_demodulation,[],[f142,f1]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(X0,join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = X0,
inference(forward_demodulation,[],[f169,f52]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = X0,
inference(forward_demodulation,[],[f171,f52]) ).
fof(f284,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)),meet(X3,join(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)))) = X0,
inference(superposition,[],[f180,f29]) ).
fof(f344,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = X0,
inference(superposition,[],[f284,f1]) ).
fof(f413,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f344,f284]) ).
fof(f507,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(superposition,[],[f284,f413]) ).
fof(f647,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f507,f178]) ).
fof(f711,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f647,f413]) ).
fof(f738,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f413,f647]) ).
fof(f879,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f738,f52]) ).
fof(f1120,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[],[f879,f738]) ).
fof(f1166,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1120,f738]) ).
fof(f1189,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f413,f1166]) ).
fof(f1229,plain,
! [X0] : join(join(X0,X0),X0) = X0,
inference(superposition,[],[f711,f1166]) ).
fof(f1560,plain,
! [X0] : join(meet(join(X0,X0),X0),meet(X0,X0)) = X0,
inference(superposition,[],[f344,f1229]) ).
fof(f1580,plain,
! [X0] : join(meet(join(X0,X0),X0),X0) = X0,
inference(forward_demodulation,[],[f1560,f1166]) ).
fof(f1603,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1580,f1189]) ).
fof(f1702,plain,
a != a,
inference(superposition,[],[f3,f1603]) ).
fof(f1703,plain,
$false,
inference(trivial_inequality_removal,[],[f1702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT094-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:00:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.95/0.57 % (4010555)Will run a generic schedule for satisfiability detection.
% 0.95/0.57 % (4010574)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2972260986:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.57 % (4010570)% WARNING: option uhcvi not known.
% 0.95/0.57 % (4010569)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2877076985_2999 on theBenchmark for (2999ds/0Mi)
% 0.95/0.57 % (4010570)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3529361981:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.95/0.57 % (4010571)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3403573975:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.95/0.57 % (4010572)dis+10_1_sil=32000:sp=arity:random_seed=3225068270:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.95/0.57 % (4010573)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2752838046:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.95/0.57 % (4010575)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4201008412:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.95/0.57 % TRYING [1]
% 0.95/0.57 % TRYING [2]
% 0.95/0.57 % TRYING [3]
% 0.95/0.57 % (4010574)Instruction limit reached!
% 0.95/0.57 % (4010574)------------------------------
% 0.95/0.57 % (4010574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.57 % (4010574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.57 % (4010574)CaDiCaL version: 2.1.3
% 0.95/0.57 % (4010574)Termination reason: Instruction limit
% 0.95/0.57 % (4010574)Termination phase: Saturation
% 0.95/0.57 % (4010574)Time elapsed: 0.042 s
% 0.95/0.57 % (4010574)Peak memory usage: 17 MB
% 0.95/0.57 % (4010574)Instructions burned: 133 (million)
% 0.95/0.57 % (4010596)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1088325742:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.95/0.57 % TRYING [1]
% 0.95/0.57 % TRYING [2]
% 0.95/0.57 % TRYING [3]
% 0.95/0.57 % (4010572)Instruction limit reached!
% 0.95/0.57 % (4010572)------------------------------
% 0.95/0.57 % (4010572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.57 % (4010572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.57 % (4010572)CaDiCaL version: 2.1.3
% 0.95/0.57 % (4010572)Termination reason: Instruction limit
% 0.95/0.57 % (4010572)Termination phase: Saturation
% 0.95/0.57 % (4010572)Time elapsed: 0.054 s
% 0.95/0.57 % (4010572)Peak memory usage: 14 MB
% 0.95/0.57 % (4010572)Instructions burned: 105 (million)
% 0.95/0.57 % (4010573)Instruction limit reached!
% 0.95/0.57 % (4010573)------------------------------
% 0.95/0.57 % (4010573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.57 % (4010573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.57 % (4010573)CaDiCaL version: 2.1.3
% 0.95/0.57 % (4010573)Termination reason: Instruction limit
% 0.95/0.57 % (4010573)Termination phase: Saturation
% 0.95/0.57 % (4010573)Time elapsed: 0.059 s
% 0.95/0.57 % (4010573)Peak memory usage: 17 MB
% 0.95/0.57 % (4010573)Instructions burned: 116 (million)
% 0.95/0.57 % (4010604)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4087077496:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.57 % (4010607)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=374102242:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.95/0.57 % (4010575)Instruction limit reached!
% 0.95/0.57 % (4010575)------------------------------
% 0.95/0.57 % (4010575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.57 % (4010575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.57 % (4010575)CaDiCaL version: 2.1.3
% 0.95/0.57 % (4010575)Termination reason: Instruction limit
% 0.95/0.57 % (4010575)Termination phase: Saturation
% 0.95/0.57 % (4010575)Time elapsed: 0.085 s
% 0.95/0.57 % (4010575)Peak memory usage: 15 MB
% 0.95/0.57 % (4010575)Instructions burned: 160 (million)
% 0.95/0.57 % (4010571) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4010555-4010571"...
% 0.95/0.57 % (4010571)...printing done.
% 0.95/0.57 % (4010616)ott-21_1_sil=16000:fs=off:random_seed=1249566854:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.95/0.57 % (4010571)Refutation found. Thanks to Tanya!
% 0.95/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.95/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.95/0.57 % (4010571)------------------------------
% 0.95/0.57 % (4010571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.57 % (4010571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.57 % (4010571)CaDiCaL version: 2.1.3
% 0.95/0.57 % (4010571)Termination reason: Refutation
% 0.95/0.57 % (4010571)Time elapsed: 0.110 s
% 0.95/0.57 % (4010571)Peak memory usage: 13 MB
% 0.95/0.57 % (4010571)Instructions burned: 219 (million)
% 0.95/0.57 % (4010555)Success in time 0.151 s
% 0.95/0.57 % Vampire exiting
%------------------------------------------------------------------------------