%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% 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 11:47:40 AM UTC 2026
% Result : Unsatisfiable 1.83s 0.83s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 41 unt; 2 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f10,axiom,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet2) ).
fof(f11,axiom,
! [X0,X1] : meet2(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1_2) ).
fof(f12,axiom,
! [X0,X1] : join(X0,meet2(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2_2) ).
fof(f13,axiom,
! [X2,X0,X1] : meet2(meet2(X0,X1),X2) = meet2(X0,meet2(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet2) ).
fof(f14,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_meets_are_same) ).
fof(f15,definition,
sF0 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
meet(a,b) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = meet2(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
meet2(a,b) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
sF0 != sF1,
inference(definition_folding,[],[f14,f18,f16]) ).
fof(f23,plain,
a = join(a,sF0),
inference(superposition,[],[f4,f16]) ).
fof(f27,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f29,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f33,plain,
! [X0,X1] : meet2(X1,join(X0,X1)) = X1,
inference(superposition,[],[f11,f6]) ).
fof(f37,plain,
! [X0,X1] : join(X1,meet2(X0,X1)) = X1,
inference(superposition,[],[f12,f10]) ).
fof(f39,plain,
a = join(a,sF1),
inference(superposition,[],[f12,f18]) ).
fof(f48,plain,
! [X0] : meet(a,meet(b,X0)) = meet(sF0,X0),
inference(superposition,[],[f7,f16]) ).
fof(f65,plain,
b = join(b,sF0),
inference(superposition,[],[f27,f16]) ).
fof(f102,plain,
! [X0] : meet2(a,meet2(b,X0)) = meet2(sF1,X0),
inference(superposition,[],[f13,f18]) ).
fof(f123,plain,
sF1 = meet(sF1,a),
inference(superposition,[],[f29,f39]) ).
fof(f132,plain,
sF1 = meet(a,sF1),
inference(forward_demodulation,[],[f123,f5]) ).
fof(f144,plain,
sF0 = meet2(sF0,a),
inference(superposition,[],[f33,f23]) ).
fof(f146,plain,
sF0 = meet2(sF0,b),
inference(superposition,[],[f33,f65]) ).
fof(f151,plain,
sF0 = meet2(b,sF0),
inference(forward_demodulation,[],[f146,f10]) ).
fof(f153,plain,
sF0 = meet2(a,sF0),
inference(forward_demodulation,[],[f144,f10]) ).
fof(f165,plain,
b = join(b,sF1),
inference(superposition,[],[f37,f18]) ).
fof(f217,plain,
! [X0] : sF0 = join(sF0,meet(a,meet(b,X0))),
inference(superposition,[],[f4,f48]) ).
fof(f257,plain,
sF1 = meet(sF1,b),
inference(superposition,[],[f29,f165]) ).
fof(f260,plain,
sF1 = meet(b,sF1),
inference(forward_demodulation,[],[f257,f5]) ).
fof(f4630,plain,
sF0 = join(sF0,meet(a,sF1)),
inference(superposition,[],[f217,f260]) ).
fof(f4695,plain,
sF0 = join(sF0,sF1),
inference(forward_demodulation,[],[f4630,f132]) ).
fof(f4707,plain,
sF1 = meet2(sF1,sF0),
inference(superposition,[],[f33,f4695]) ).
fof(f4731,plain,
sF1 = meet2(a,meet2(b,sF0)),
inference(forward_demodulation,[],[f4707,f102]) ).
fof(f4735,plain,
sF1 = meet2(a,sF0),
inference(forward_demodulation,[],[f4731,f151]) ).
fof(f4737,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f4735,f153]) ).
fof(f4739,plain,
$false,
inference(forward_subsumption_resolution,[],[f4737,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.43 % Computer : n005.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 13:56:02 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 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
% 1.83/0.83 % (4002523)Will run a generic schedule for satisfiability detection.
% 1.83/0.83 % (4002532)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4171738516:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.83/0.83 % (4002529)% WARNING: option uhcvi not known.
% 1.83/0.83 % (4002528)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1879319985_2999 on theBenchmark for (2999ds/0Mi)
% 1.83/0.83 % (4002529)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3378297656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.83/0.83 % (4002530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=99499327:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.83/0.83 % (4002531)dis+10_1_sil=32000:sp=arity:random_seed=1818233977:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.83/0.83 % (4002533)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4194393476:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.83/0.83 % (4002534)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1694298159:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.83/0.83 % TRYING [1]
% 1.83/0.83 % TRYING [2]
% 1.83/0.83 % TRYING [3]
% 1.83/0.83 % TRYING [4]
% 1.83/0.83 % TRYING [5]
% 1.83/0.83 % (4002532)Instruction limit reached!
% 1.83/0.83 % (4002532)------------------------------
% 1.83/0.83 % (4002532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002532)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002532)Termination reason: Instruction limit
% 1.83/0.83 % (4002532)Termination phase: Saturation
% 1.83/0.83 % (4002532)Time elapsed: 0.036 s
% 1.83/0.83 % (4002532)Peak memory usage: 12 MB
% 1.83/0.83 % (4002532)Instructions burned: 117 (million)
% 1.83/0.83 % (4002542)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3282330111:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.83/0.83 % TRYING [1]
% 1.83/0.83 % TRYING [2]
% 1.83/0.83 % TRYING [3]
% 1.83/0.83 % TRYING [4]
% 1.83/0.83 % TRYING [5]
% 1.83/0.83 % (4002531)Instruction limit reached!
% 1.83/0.83 % (4002531)------------------------------
% 1.83/0.83 % (4002531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002531)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002531)Termination reason: Instruction limit
% 1.83/0.83 % (4002531)Termination phase: Saturation
% 1.83/0.83 % (4002531)Time elapsed: 0.057 s
% 1.83/0.83 % (4002531)Peak memory usage: 12 MB
% 1.83/0.83 % (4002531)Instructions burned: 104 (million)
% 1.83/0.83 % TRYING [6]
% 1.83/0.83 % TRYING [6]
% 1.83/0.83 % (4002533)Instruction limit reached!
% 1.83/0.83 % (4002533)------------------------------
% 1.83/0.83 % (4002533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002533)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002533)Termination reason: Instruction limit
% 1.83/0.83 % (4002533)Termination phase: Saturation
% 1.83/0.83 % (4002533)Time elapsed: 0.074 s
% 1.83/0.83 % (4002533)Peak memory usage: 12 MB
% 1.83/0.83 % (4002533)Instructions burned: 132 (million)
% 1.83/0.83 % (4002544)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2543634594:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.83/0.83 % (4002534)Instruction limit reached!
% 1.83/0.83 % (4002534)------------------------------
% 1.83/0.83 % (4002534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002534)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002534)Termination reason: Instruction limit
% 1.83/0.83 % (4002534)Termination phase: Saturation
% 1.83/0.83 % (4002534)Time elapsed: 0.093 s
% 1.83/0.83 % (4002534)Peak memory usage: 12 MB
% 1.83/0.83 % (4002534)Instructions burned: 159 (million)
% 1.83/0.83 % (4002546)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=324880418:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.83/0.83 % TRYING [7]
% 1.83/0.83 % (4002547)ott-21_1_sil=16000:fs=off:random_seed=1186540490:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.83/0.83 % (4002544)Instruction limit reached!
% 1.83/0.83 % (4002544)------------------------------
% 1.83/0.83 % (4002544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002544)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002544)Termination reason: Instruction limit
% 1.83/0.83 % (4002544)Termination phase: Saturation
% 1.83/0.83 % (4002544)Time elapsed: 0.081 s
% 1.83/0.83 % (4002544)Peak memory usage: 13 MB
% 1.83/0.83 % (4002544)Instructions burned: 131 (million)
% 1.83/0.83 % TRYING [8]
% 1.83/0.83 % (4002551)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2203329174:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.83/0.83 % TRYING [7]
% 1.83/0.83 % (4002542)Instruction limit reached!
% 1.83/0.83 % (4002542)------------------------------
% 1.83/0.83 % (4002542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002542)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002542)Termination reason: Instruction limit
% 1.83/0.83 % (4002542)Termination phase: Finite model building constraint generation
% 1.83/0.83 % (4002542)Time elapsed: 0.144 s
% 1.83/0.83 % (4002542)Peak memory usage: 32 MB
% 1.83/0.83 % (4002542)Instructions burned: 719 (million)
% 1.83/0.83 % (4002547)Instruction limit reached!
% 1.83/0.83 % (4002547)------------------------------
% 1.83/0.83 % (4002547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002547)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002547)Termination reason: Instruction limit
% 1.83/0.83 % (4002547)Termination phase: Saturation
% 1.83/0.83 % (4002547)Time elapsed: 0.080 s
% 1.83/0.83 % (4002547)Peak memory usage: 11 MB
% 1.83/0.83 % (4002547)Instructions burned: 181 (million)
% 1.83/0.83 % (4002553)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3938755991:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.83/0.83 % TRYING [1]
% 1.83/0.83 % TRYING [2]
% 1.83/0.83 % TRYING [3]
% 1.83/0.83 % TRYING [4]
% 1.83/0.83 % (4002554)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1656109394:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.83/0.83 % TRYING [5]
% 1.83/0.83 % TRYING [6]
% 1.83/0.83 % (4002554) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4002523-4002554"...
% 1.83/0.83 % (4002554)...printing done.
% 1.83/0.83 % (4002554)Refutation found. Thanks to Tanya!
% 1.83/0.83 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.83 % (4002554)------------------------------
% 1.83/0.83 % (4002554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.83 % (4002554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.83 % (4002554)CaDiCaL version: 2.1.3
% 1.83/0.83 % (4002554)Termination reason: Refutation
% 1.83/0.83 % (4002554)Time elapsed: 0.093 s
% 1.83/0.83 % (4002554)Peak memory usage: 13 MB
% 1.83/0.83 % (4002554)Instructions burned: 161 (million)
% 1.83/0.83 % (4002523)Success in time 0.349 s
% 1.83/0.83 % Vampire exiting
%------------------------------------------------------------------------------