%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 1.91s 0.82s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 34 unt; 2 def)
% Number of atoms : 34 ( 33 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : join(X0,meet(X1,meet(X0,X2))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie1) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie2) ).
fof(f3,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie3) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie4) ).
fof(f5,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_meet) ).
fof(f6,definition,
sF0 = meet(b,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
meet(b,a) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
meet(a,b) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
sF0 != sF1,
inference(definition_folding,[],[f5,f9,f7]) ).
fof(f11,plain,
! [X0] : b = join(b,meet(X0,sF0)),
inference(superposition,[],[f1,f7]) ).
fof(f12,plain,
! [X0] : a = join(a,meet(X0,sF1)),
inference(superposition,[],[f1,f9]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f2,f1]) ).
fof(f15,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f1,f2]) ).
fof(f23,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f44,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f45,plain,
b = join(b,sF0),
inference(superposition,[],[f11,f4]) ).
fof(f46,plain,
a = join(a,sF1),
inference(superposition,[],[f12,f4]) ).
fof(f63,plain,
sF0 = meet(sF0,b),
inference(superposition,[],[f13,f45]) ).
fof(f69,plain,
sF1 = meet(sF1,a),
inference(superposition,[],[f13,f46]) ).
fof(f77,plain,
a = join(a,sF0),
inference(superposition,[],[f15,f7]) ).
fof(f78,plain,
b = join(b,sF1),
inference(superposition,[],[f15,f9]) ).
fof(f109,plain,
! [X0] : sF0 = meet(meet(a,join(sF0,X0)),sF0),
inference(superposition,[],[f4,f77]) ).
fof(f131,plain,
! [X0] : sF1 = meet(meet(b,join(sF1,X0)),sF1),
inference(superposition,[],[f4,f78]) ).
fof(f171,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f13,f44]) ).
fof(f202,plain,
b = join(sF0,b),
inference(superposition,[],[f23,f63]) ).
fof(f227,plain,
a = join(sF1,a),
inference(superposition,[],[f23,f69]) ).
fof(f5501,plain,
sF0 = meet(meet(a,b),sF0),
inference(superposition,[],[f109,f202]) ).
fof(f5548,plain,
sF0 = meet(sF1,sF0),
inference(forward_demodulation,[],[f5501,f9]) ).
fof(f5864,plain,
sF0 = meet(sF0,sF1),
inference(superposition,[],[f171,f5548]) ).
fof(f8562,plain,
sF1 = meet(meet(b,a),sF1),
inference(superposition,[],[f131,f227]) ).
fof(f8617,plain,
sF1 = meet(sF0,sF1),
inference(forward_demodulation,[],[f8562,f7]) ).
fof(f8626,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f8617,f5864]) ).
fof(f8627,plain,
$false,
inference(forward_subsumption_resolution,[],[f8626,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n018.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 13:58:39 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/0.82 % (2369053)Will run a generic schedule for satisfiability detection.
% 1.91/0.82 % (2369063)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1338077928:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.82 % (2369059)% WARNING: option uhcvi not known.
% 1.91/0.82 % (2369058)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2036639838_2999 on theBenchmark for (2999ds/0Mi)
% 1.91/0.82 % (2369059)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2841191656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.91/0.82 % (2369060)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2628083926:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.91/0.82 % (2369061)dis+10_1_sil=32000:sp=arity:random_seed=533425293:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.91/0.82 % (2369062)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3011391028:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.91/0.82 % (2369064)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2010417972:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.91/0.82 % TRYING [1]
% 1.91/0.82 % TRYING [2]
% 1.91/0.82 % TRYING [3]
% 1.91/0.82 % TRYING [4]
% 1.91/0.82 % TRYING [5]
% 1.91/0.82 % TRYING [6]
% 1.91/0.82 % TRYING [7]
% 1.91/0.82 % (2369063)Instruction limit reached!
% 1.91/0.82 % (2369063)------------------------------
% 1.91/0.82 % (2369063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369063)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369063)Termination reason: Instruction limit
% 1.91/0.82 % (2369063)Termination phase: Saturation
% 1.91/0.82 % (2369063)Time elapsed: 0.043 s
% 1.91/0.82 % (2369063)Peak memory usage: 12 MB
% 1.91/0.82 % (2369063)Instructions burned: 134 (million)
% 1.91/0.82 % TRYING [8]
% 1.91/0.82 % (2369072)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=103638507:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.91/0.82 % TRYING [1]
% 1.91/0.82 % TRYING [2]
% 1.91/0.82 % TRYING [3]
% 1.91/0.82 % TRYING [4]
% 1.91/0.82 % TRYING [5]
% 1.91/0.82 % TRYING [6]
% 1.91/0.82 % (2369061)Instruction limit reached!
% 1.91/0.82 % (2369061)------------------------------
% 1.91/0.82 % (2369061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369061)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369061)Termination reason: Instruction limit
% 1.91/0.82 % (2369061)Termination phase: Saturation
% 1.91/0.82 % (2369061)Time elapsed: 0.060 s
% 1.91/0.82 % (2369061)Peak memory usage: 12 MB
% 1.91/0.82 % (2369061)Instructions burned: 104 (million)
% 1.91/0.82 % TRYING [7]
% 1.91/0.82 % TRYING [9]
% 1.91/0.82 % (2369062)Instruction limit reached!
% 1.91/0.82 % (2369062)------------------------------
% 1.91/0.82 % (2369062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369062)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369062)Termination reason: Instruction limit
% 1.91/0.82 % (2369062)Termination phase: Saturation
% 1.91/0.82 % (2369062)Time elapsed: 0.070 s
% 1.91/0.82 % (2369062)Peak memory usage: 12 MB
% 1.91/0.82 % (2369062)Instructions burned: 117 (million)
% 1.91/0.82 % (2369074)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1468394051:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.91/0.82 % TRYING [8]
% 1.91/0.82 % (2369075)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=3667233212:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.91/0.82 % (2369064)Instruction limit reached!
% 1.91/0.82 % (2369064)------------------------------
% 1.91/0.82 % (2369064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369064)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369064)Termination reason: Instruction limit
% 1.91/0.82 % (2369064)Termination phase: Saturation
% 1.91/0.82 % (2369064)Time elapsed: 0.094 s
% 1.91/0.82 % (2369064)Peak memory usage: 13 MB
% 1.91/0.82 % (2369064)Instructions burned: 159 (million)
% 1.91/0.82 % TRYING [10]
% 1.91/0.82 % (2369078)ott-21_1_sil=16000:fs=off:random_seed=1984733050:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.91/0.82 % TRYING [9]
% 1.91/0.82 % TRYING [11]
% 1.91/0.82 % TRYING [10]
% 1.91/0.82 % (2369074)Instruction limit reached!
% 1.91/0.82 % (2369074)------------------------------
% 1.91/0.82 % (2369074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369074)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369074)Termination reason: Instruction limit
% 1.91/0.82 % (2369074)Termination phase: Saturation
% 1.91/0.82 % (2369074)Time elapsed: 0.084 s
% 1.91/0.82 % (2369074)Peak memory usage: 13 MB
% 1.91/0.82 % (2369074)Instructions burned: 131 (million)
% 1.91/0.82 % (2369080)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1981790549:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.91/0.82 % (2369078)Instruction limit reached!
% 1.91/0.82 % (2369078)------------------------------
% 1.91/0.82 % (2369078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369078)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369078)Termination reason: Instruction limit
% 1.91/0.82 % (2369078)Termination phase: Saturation
% 1.91/0.82 % (2369078)Time elapsed: 0.080 s
% 1.91/0.82 % (2369078)Peak memory usage: 11 MB
% 1.91/0.82 % (2369078)Instructions burned: 181 (million)
% 1.91/0.82 % (2369082)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2875598536:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.91/0.82 % TRYING [1]
% 1.91/0.82 % TRYING [2]
% 1.91/0.82 % TRYING [3]
% 1.91/0.82 % TRYING [4]
% 1.91/0.82 % TRYING [11]
% 1.91/0.82 % TRYING [5]
% 1.91/0.82 % (2369072)Instruction limit reached!
% 1.91/0.82 % (2369072)------------------------------
% 1.91/0.82 % (2369072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.82 % (2369072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.82 % (2369072)CaDiCaL version: 2.1.3
% 1.91/0.82 % (2369072)Termination reason: Instruction limit
% 1.91/0.82 % (2369072)Termination phase: Finite model building constraint generation
% 1.91/0.82 % (2369072)Time elapsed: 0.180 s
% 1.91/0.82 % (2369072)Peak memory usage: 21 MB
% 1.91/0.82 % (2369072)Instructions burned: 718 (million)
% 1.91/0.82 % TRYING [12]
% 1.91/0.82 % TRYING [6]
% 1.91/0.82 % (2369084)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2600961347:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.91/0.82 % TRYING [7]
% 1.91/0.82 % TRYING [8]
% 1.91/0.82 % TRYING [13]
% 1.91/0.82 % TRYING [9]
% 1.91/0.82 % (2369084) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2369053-2369084"...
% 1.91/0.82 % (2369084)...printing done.
% 1.91/0.82 % (2369084)Refutation found. Thanks to Tanya!
% 1.91/0.82 % SZS status Unsatisfiable for theBenchmark
% 1.91/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.83 % (2369084)------------------------------
% 1.91/0.83 % (2369084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.83 % (2369084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.83 % (2369084)CaDiCaL version: 2.1.3
% 1.91/0.83 % (2369084)Termination reason: Refutation
% 1.91/0.83 % (2369084)Time elapsed: 0.103 s
% 1.91/0.83 % (2369084)Peak memory usage: 16 MB
% 1.91/0.83 % (2369084)Instructions burned: 327 (million)
% 1.91/0.83 % (2369053)Success in time 0.388 s
% 1.91/0.83 % Vampire exiting
%------------------------------------------------------------------------------