%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT092-1 : 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 : n014.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 1.29s 0.72s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 87 ( 87 !; 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,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_axioms_1) ).
fof(f3,plain,
a != meet(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(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(f1249,plain,
a != a,
inference(superposition,[],[f3,f1166]) ).
fof(f1250,plain,
$false,
inference(trivial_inequality_removal,[],[f1249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT092-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 14:00:16 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 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
% 1.29/0.72 % (837582)Will run a generic schedule for satisfiability detection.
% 1.29/0.72 % (837591)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2978181400:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.29/0.72 % (837588)% WARNING: option uhcvi not known.
% 1.29/0.72 % (837587)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=254547692_3000 on theBenchmark for (3000ds/0Mi)
% 1.29/0.72 % (837588)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2794644854:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.29/0.72 % (837589)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3796542597:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.29/0.72 % (837590)dis+10_1_sil=32000:sp=arity:random_seed=2010672650:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.29/0.72 % (837593)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2197469415:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.29/0.72 % (837592)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3496619272:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.29/0.72 % TRYING [1]
% 1.29/0.72 % TRYING [2]
% 1.29/0.72 % TRYING [3]
% 1.29/0.72 % (837591)Instruction limit reached!
% 1.29/0.72 % (837591)------------------------------
% 1.29/0.72 % (837591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.72 % (837591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.72 % (837591)CaDiCaL version: 2.1.3
% 1.29/0.72 % (837591)Termination reason: Instruction limit
% 1.29/0.72 % (837591)Termination phase: Saturation
% 1.29/0.72 % (837591)Time elapsed: 0.048 s
% 1.29/0.72 % (837591)Peak memory usage: 17 MB
% 1.29/0.72 % (837591)Instructions burned: 116 (million)
% 1.29/0.72 % (837601)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2552306929:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.29/0.72 % TRYING [1]
% 1.29/0.72 % TRYING [2]
% 1.29/0.72 % TRYING [3]
% 1.29/0.72 % (837590)Instruction limit reached!
% 1.29/0.72 % (837590)------------------------------
% 1.29/0.72 % (837590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.72 % (837590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.72 % (837590)CaDiCaL version: 2.1.3
% 1.29/0.72 % (837590)Termination reason: Instruction limit
% 1.29/0.72 % (837590)Termination phase: Saturation
% 1.29/0.72 % (837590)Time elapsed: 0.084 s
% 1.29/0.72 % (837590)Peak memory usage: 14 MB
% 1.29/0.72 % (837590)Instructions burned: 103 (million)
% 1.29/0.72 % (837592)Instruction limit reached!
% 1.29/0.72 % (837592)------------------------------
% 1.29/0.72 % (837592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.72 % (837592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.72 % (837592)CaDiCaL version: 2.1.3
% 1.29/0.72 % (837592)Termination reason: Instruction limit
% 1.29/0.72 % (837592)Termination phase: Saturation
% 1.29/0.72 % (837592)Time elapsed: 0.111 s
% 1.29/0.72 % (837592)Peak memory usage: 17 MB
% 1.29/0.72 % (837592)Instructions burned: 132 (million)
% 1.29/0.72 % (837603)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=385328332:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.29/0.72 % (837604)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=1496739920:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.29/0.72 % (837593)Instruction limit reached!
% 1.29/0.72 % (837593)------------------------------
% 1.29/0.72 % (837593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.72 % (837593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.72 % (837593)CaDiCaL version: 2.1.3
% 1.29/0.72 % (837593)Termination reason: Instruction limit
% 1.29/0.72 % (837593)Termination phase: Saturation
% 1.29/0.72 % (837593)Time elapsed: 0.138 s
% 1.29/0.72 % (837593)Peak memory usage: 15 MB
% 1.29/0.72 % (837593)Instructions burned: 160 (million)
% 1.29/0.72 % (837589) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-837582-837589"...
% 1.29/0.72 % (837589)...printing done.
% 1.29/0.72 % (837589)Refutation found. Thanks to Tanya!
% 1.29/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.73 % (837589)------------------------------
% 1.29/0.73 % (837589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.73 % (837589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.73 % (837589)CaDiCaL version: 2.1.3
% 1.29/0.73 % (837589)Termination reason: Refutation
% 1.29/0.73 % (837589)Time elapsed: 0.166 s
% 1.29/0.73 % (837589)Peak memory usage: 13 MB
% 1.29/0.73 % (837589)Instructions burned: 196 (million)
% 1.29/0.73 % (837582)Success in time 0.205 s
% 1.29/0.73 % Vampire exiting
%------------------------------------------------------------------------------