%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT092-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:45:59 AM UTC 2026
% Result : Unsatisfiable 6.19s 1.85s
% Output : Refutation 6.19s
% 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox/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(f209,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(f211,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(f243,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,[],[f211,f56]) ).
fof(f245,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,[],[f209,f1]) ).
fof(f254,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,[],[f243,f52]) ).
fof(f256,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,[],[f245,f52]) ).
fof(f510,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,[],[f256,f29]) ).
fof(f604,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,join(X1,X0))) = X0,
inference(superposition,[],[f510,f1]) ).
fof(f716,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f604,f510]) ).
fof(f880,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(superposition,[],[f510,f716]) ).
fof(f1113,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f880,f254]) ).
fof(f1470,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f716,f1113]) ).
fof(f1720,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f1470,f52]) ).
fof(f2112,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[],[f1720,f1470]) ).
fof(f2178,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f2112,f1470]) ).
fof(f2301,plain,
a != a,
inference(superposition,[],[f3,f2178]) ).
fof(f2302,plain,
$false,
inference(trivial_inequality_removal,[],[f2301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT092-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:55:50 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/1.65 % (2571648)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.43/1.65 % (2571658)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3675535316:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.43/1.65 % (2571655)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4068483556:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.43/1.65 % (2571653)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1469443685:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.43/1.65 % (2571656)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=132728814:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.43/1.65 % (2571654)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3864484863:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.43/1.65 % (2571657)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3246794388:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.43/1.65 % (2571659)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3272954262:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.43/1.65 % (2571658)Instruction limit reached!
% 4.43/1.65 % (2571658)------------------------------
% 4.43/1.65 % (2571658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.65 % (2571658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.65 % (2571658)CaDiCaL version: 2.1.3
% 4.43/1.65 % (2571658)Termination reason: Instruction limit
% 4.43/1.65 % (2571658)Termination phase: Saturation
% 4.43/1.65 % (2571658)Time elapsed: 0.064 s
% 4.43/1.65 % (2571658)Peak memory usage: 93 MB
% 4.43/1.65 % (2571658)Instructions burned: 259 (million)
% 4.43/1.65 % (2571656)Instruction limit reached!
% 4.43/1.65 % (2571656)------------------------------
% 4.43/1.65 % (2571656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.65 % (2571656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.65 % (2571656)CaDiCaL version: 2.1.3
% 4.43/1.65 % (2571656)Termination reason: Instruction limit
% 4.43/1.65 % (2571656)Termination phase: Saturation
% 4.43/1.65 % (2571656)Time elapsed: 0.062 s
% 4.43/1.65 % (2571656)Peak memory usage: 90 MB
% 4.43/1.65 % (2571656)Instructions burned: 138 (million)
% 4.43/1.65 % (2571657)Instruction limit reached!
% 4.43/1.65 % (2571657)------------------------------
% 4.43/1.65 % (2571657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.65 % (2571657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.65 % (2571657)CaDiCaL version: 2.1.3
% 4.43/1.65 % (2571657)Termination reason: Instruction limit
% 4.43/1.65 % (2571657)Termination phase: Saturation
% 4.43/1.65 % (2571657)Time elapsed: 0.106 s
% 4.43/1.65 % (2571657)Peak memory usage: 89 MB
% 4.43/1.65 % (2571657)Instructions burned: 183 (million)
% 4.43/1.65 % (2571667)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3474295246:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 4.43/1.65 % (2571668)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3244987678:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.43/1.65 % (2571669)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2053811186:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 4.43/1.65 % (2571659)First to succeed.
% 4.43/1.65 % (2571659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2571648"
% 4.43/1.65 % (2571669)Instruction limit reached!
% 4.43/1.65 % (2571669)------------------------------
% 4.43/1.65 % (2571669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.65 % (2571669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.65 % (2571669)CaDiCaL version: 2.1.3
% 6.19/1.85 % (2571669)Termination reason: Instruction limit
% 6.19/1.85 % (2571669)Termination phase: Saturation
% 6.19/1.85 % (2571669)Time elapsed: 0.142 s
% 6.19/1.85 % (2571669)Peak memory usage: 129 MB
% 6.19/1.85 % (2571669)Instructions burned: 218 (million)
% 6.19/1.85 % (2571673)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1311688611:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 6.19/1.85 % (2571659)Refutation found. Thanks to Tanya!
% 6.19/1.85 % SZS status Unsatisfiable for theBenchmark
% 6.19/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 6.19/1.85 % (2571659)------------------------------
% 6.19/1.85 % (2571659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.85 % (2571659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.85 % (2571659)CaDiCaL version: 2.1.3
% 6.19/1.85 % (2571659)Termination reason: Refutation
% 6.19/1.85 % (2571659)Time elapsed: 0.350 s
% 6.19/1.85 % (2571659)Peak memory usage: 103 MB
% 6.19/1.85 % (2571659)Instructions burned: 732 (million)
% 6.19/1.85 % (2571659)------------------------------
% 6.19/1.85 % (2571659)------------------------------
% 6.19/1.85 % (2571648)Success in time 0.791 s
% 6.19/1.85 % Vampire exiting
%------------------------------------------------------------------------------