%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT089-1 : 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 : n008.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 11:47:49 AM UTC 2026
% Result : Unsatisfiable 0.38s 0.52s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).
fof(f5,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f6,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_2) ).
fof(f14,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f4,f3]) ).
fof(f21,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[],[f2,f4]) ).
fof(f27,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f5,f4]) ).
fof(f28,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f37,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f28,f1]) ).
fof(f38,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,meet(X1,X0)),meet(X1,X0)),
inference(superposition,[],[f28,f3]) ).
fof(f57,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[],[f37,f28]) ).
fof(f66,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f57,f28]) ).
fof(f69,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(superposition,[],[f21,f66]) ).
fof(f79,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f4,f66]) ).
fof(f83,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f4,f69]) ).
fof(f99,plain,
! [X0] : join(X0,X0) = join(join(X0,join(X0,X0)),join(X0,X0)),
inference(superposition,[],[f27,f79]) ).
fof(f104,plain,
! [X0] : join(X0,X0) = join(X0,join(X0,X0)),
inference(forward_demodulation,[],[f99,f69]) ).
fof(f108,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f104,f69]) ).
fof(f119,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(superposition,[],[f2,f108]) ).
fof(f122,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f119,f66]) ).
fof(f265,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(join(meet(X0,X1),meet(X1,meet(X0,X1))),meet(X1,meet(X0,X1))),
inference(superposition,[],[f27,f38]) ).
fof(f277,plain,
! [X0,X1] : meet(X1,meet(X0,X1)) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[],[f265,f122]) ).
fof(f287,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[],[f277,f122]) ).
fof(f300,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X1,meet(X0,X1)))) = X1,
inference(superposition,[],[f1,f287]) ).
fof(f317,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X1)) = X1,
inference(forward_demodulation,[],[f300,f122]) ).
fof(f319,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f317,f66]) ).
fof(f337,plain,
! [X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X0),meet(meet(X1,X0),X0)),
inference(superposition,[],[f1,f319]) ).
fof(f338,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f337,f108]) ).
fof(f352,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f338,f28]) ).
fof(f390,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f352,f27]) ).
fof(f835,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f83,f390]) ).
fof(f891,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(join(meet(X0,X1),X0),join(join(meet(X0,X1),X0),X0))),
inference(superposition,[],[f1,f835]) ).
fof(f917,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(join(meet(X0,X1),X0),X0)),
inference(forward_demodulation,[],[f891,f27]) ).
fof(f924,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f917,f122]) ).
fof(f947,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(superposition,[],[f1,f924]) ).
fof(f962,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f947,f108]) ).
fof(f1099,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f122,f962]) ).
fof(f3369,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f14,f1099]) ).
fof(f3544,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f962,f3369]) ).
fof(f3809,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f3544,f3369]) ).
fof(f4093,plain,
meet(b,a) != meet(b,a),
inference(superposition,[],[f6,f3809]) ).
fof(f4094,plain,
$false,
inference(trivial_inequality_removal,[],[f4093]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:01:25 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.38/0.52 % (1241962)Will run a generic schedule for satisfiability detection.
% 0.38/0.52 % (1241973)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3919312489:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.38/0.52 % (1241968)% WARNING: option uhcvi not known.
% 0.38/0.52 % (1241970)dis+10_1_sil=32000:sp=arity:random_seed=2396555464:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.38/0.52 % (1241968)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2756205287:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.38/0.52 % (1241969)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2752660226:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.38/0.52 % (1241971)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3432744872:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.38/0.52 % (1241972)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2936633531:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.38/0.52 % (1241967)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4143865651_3000 on theBenchmark for (3000ds/0Mi)
% 0.38/0.52 % TRYING [1]
% 0.38/0.52 % TRYING [2]
% 0.38/0.52 % TRYING [3]
% 0.38/0.52 % TRYING [4]
% 0.38/0.52 % TRYING [5]
% 0.38/0.52 % TRYING [6]
% 0.38/0.52 % (1241973)Instruction limit reached!
% 0.38/0.52 % (1241973)------------------------------
% 0.38/0.52 % (1241973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.52 % (1241973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.52 % (1241973)CaDiCaL version: 2.1.3
% 0.38/0.52 % (1241973)Termination reason: Instruction limit
% 0.38/0.52 % (1241973)Termination phase: Saturation
% 0.38/0.52 % (1241973)Time elapsed: 0.052 s
% 0.38/0.52 % (1241973)Peak memory usage: 12 MB
% 0.38/0.52 % (1241973)Instructions burned: 162 (million)
% 0.38/0.52 % (1241981)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1094468248:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.38/0.52 % TRYING [1]
% 0.38/0.52 % TRYING [2]
% 0.38/0.52 % TRYING [3]
% 0.38/0.52 % TRYING [4]
% 0.38/0.52 % (1241970)Instruction limit reached!
% 0.38/0.52 % (1241970)------------------------------
% 0.38/0.52 % (1241970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.52 % (1241970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.52 % (1241970)CaDiCaL version: 2.1.3
% 0.38/0.52 % (1241970)Termination reason: Instruction limit
% 0.38/0.52 % (1241970)Termination phase: Saturation
% 0.38/0.52 % (1241970)Time elapsed: 0.059 s
% 0.38/0.52 % (1241970)Peak memory usage: 12 MB
% 0.38/0.52 % (1241970)Instructions burned: 103 (million)
% 0.38/0.52 % TRYING [5]
% 0.38/0.52 % (1241971)Instruction limit reached!
% 0.38/0.52 % (1241971)------------------------------
% 0.38/0.52 % (1241971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.52 % (1241971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.52 % (1241971)CaDiCaL version: 2.1.3
% 0.38/0.52 % (1241971)Termination reason: Instruction limit
% 0.38/0.52 % (1241971)Termination phase: Saturation
% 0.38/0.52 % (1241971)Time elapsed: 0.070 s
% 0.38/0.52 % (1241971)Peak memory usage: 12 MB
% 0.38/0.52 % (1241971)Instructions burned: 117 (million)
% 0.38/0.52 % (1241969) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1241962-1241969"...
% 0.38/0.52 % (1241969)...printing done.
% 0.38/0.52 % (1241969)Refutation found. Thanks to Tanya!
% 0.38/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.38/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.52 % (1241969)------------------------------
% 0.38/0.52 % (1241969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.52 % (1241969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.52 % (1241969)CaDiCaL version: 2.1.3
% 0.38/0.52 % (1241969)Termination reason: Refutation
% 0.38/0.52 % (1241969)Time elapsed: 0.072 s
% 0.38/0.52 % (1241969)Peak memory usage: 12 MB
% 0.38/0.52 % (1241969)Instructions burned: 129 (million)
% 0.38/0.52 % (1241962)Success in time 0.095 s
% 0.38/0.52 % Vampire exiting
%------------------------------------------------------------------------------