%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.81s 0.62s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 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 : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f6,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_4) ).
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(f1008,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f83,f390]) ).
fof(f1067,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,f1008]) ).
fof(f1094,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(join(meet(X0,X1),X0),X0)),
inference(forward_demodulation,[],[f1067,f27]) ).
fof(f1101,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f1094,f122]) ).
fof(f1116,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f1101,f352]) ).
fof(f1126,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(superposition,[],[f1,f1101]) ).
fof(f1146,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f1126,f108]) ).
fof(f1177,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f1,f1116]) ).
fof(f1196,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f1177,f108]) ).
fof(f1229,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(meet(join(X0,X1),X2),X0),join(X0,X1)),
inference(superposition,[],[f5,f1196]) ).
fof(f1281,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f1146,f83]) ).
fof(f1367,plain,
! [X0,X1] : meet(join(X1,X0),X0) = X0,
inference(superposition,[],[f287,f1281]) ).
fof(f7936,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f1229,f1367]) ).
fof(f8179,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f352,f7936]) ).
fof(f8188,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f1196,f7936]) ).
fof(f8651,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f8188,f8179]) ).
fof(f9152,plain,
join(b,a) != join(b,a),
inference(superposition,[],[f6,f8651]) ).
fof(f9153,plain,
$false,
inference(trivial_inequality_removal,[],[f9152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:58:40 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.81/0.62 % (1430158)Will run a generic schedule for satisfiability detection.
% 0.81/0.62 % (1430164)% WARNING: option uhcvi not known.
% 0.81/0.62 % (1430164)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=600841340:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.81/0.62 % (1430165)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1517236780:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.81/0.62 % (1430166)dis+10_1_sil=32000:sp=arity:random_seed=2098705140:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.81/0.62 % (1430163)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2298879773_2999 on theBenchmark for (2999ds/0Mi)
% 0.81/0.62 % (1430167)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=979724582:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.81/0.62 % TRYING [1]
% 0.81/0.62 % TRYING [2]
% 0.81/0.62 % TRYING [3]
% 0.81/0.62 % TRYING [4]
% 0.81/0.62 % (1430169)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2019718385:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.81/0.62 % TRYING [5]
% 0.81/0.62 % (1430168)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2378704758:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.81/0.62 % TRYING [6]
% 0.81/0.62 % (1430166)Instruction limit reached!
% 0.81/0.62 % (1430166)------------------------------
% 0.81/0.62 % (1430166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.62 % (1430166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.62 % (1430166)CaDiCaL version: 2.1.3
% 0.81/0.62 % (1430166)Termination reason: Instruction limit
% 0.81/0.62 % (1430166)Termination phase: Saturation
% 0.81/0.62 % (1430166)Time elapsed: 0.058 s
% 0.81/0.62 % (1430166)Peak memory usage: 12 MB
% 0.81/0.62 % (1430166)Instructions burned: 103 (million)
% 0.81/0.62 % (1430167)Instruction limit reached!
% 0.81/0.62 % (1430167)------------------------------
% 0.81/0.62 % (1430167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.62 % (1430167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.62 % (1430167)CaDiCaL version: 2.1.3
% 0.81/0.62 % (1430167)Termination reason: Instruction limit
% 0.81/0.62 % (1430167)Termination phase: Saturation
% 0.81/0.62 % (1430167)Time elapsed: 0.069 s
% 0.81/0.62 % (1430167)Peak memory usage: 12 MB
% 0.81/0.62 % (1430167)Instructions burned: 117 (million)
% 0.81/0.62 % (1430186)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2658671598:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.81/0.62 % (1430190)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1785486469:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.81/0.62 % TRYING [1]
% 0.81/0.62 % TRYING [2]
% 0.81/0.62 % TRYING [3]
% 0.81/0.62 % TRYING [4]
% 0.81/0.62 % TRYING [7]
% 0.81/0.62 % TRYING [5]
% 0.81/0.62 % (1430168)Instruction limit reached!
% 0.81/0.62 % (1430168)------------------------------
% 0.81/0.62 % (1430168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.62 % (1430168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.62 % (1430168)CaDiCaL version: 2.1.3
% 0.81/0.62 % (1430168)Termination reason: Instruction limit
% 0.81/0.62 % (1430168)Termination phase: Saturation
% 0.81/0.62 % (1430168)Time elapsed: 0.084 s
% 0.81/0.62 % (1430168)Peak memory usage: 12 MB
% 0.81/0.62 % (1430168)Instructions burned: 132 (million)
% 0.81/0.62 % (1430169)Instruction limit reached!
% 0.81/0.62 % (1430169)------------------------------
% 0.81/0.62 % (1430169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.62 % (1430169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.62 % (1430169)CaDiCaL version: 2.1.3
% 0.81/0.62 % (1430169)Termination reason: Instruction limit
% 0.81/0.62 % (1430169)Termination phase: Saturation
% 0.81/0.62 % (1430169)Time elapsed: 0.095 s
% 0.81/0.62 % (1430169)Peak memory usage: 12 MB
% 0.81/0.62 % (1430169)Instructions burned: 159 (million)
% 0.81/0.62 % (1430200)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=2629273380:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.81/0.62 % (1430203)ott-21_1_sil=16000:fs=off:random_seed=1654535284:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.81/0.62 % (1430190)Instruction limit reached!
% 0.81/0.62 % (1430190)------------------------------
% 0.81/0.62 % (1430190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.62 % (1430190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.62 % (1430190)CaDiCaL version: 2.1.3
% 0.81/0.62 % (1430190)Termination reason: Instruction limit
% 0.81/0.62 % (1430190)Termination phase: Saturation
% 0.81/0.62 % (1430190)Time elapsed: 0.045 s
% 0.81/0.62 % (1430190)Peak memory usage: 12 MB
% 0.81/0.62 % (1430190)Instructions burned: 131 (million)
% 0.81/0.62 % (1430213)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2028611303:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.81/0.62 % TRYING [6]
% 0.81/0.62 % (1430165) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1430158-1430165"...
% 0.81/0.62 % (1430165)...printing done.
% 0.81/0.62 % (1430165)Refutation found. Thanks to Tanya!
% 0.81/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.81/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.63 % (1430165)------------------------------
% 0.81/0.63 % (1430165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.63 % (1430165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.63 % (1430165)CaDiCaL version: 2.1.3
% 0.81/0.63 % (1430165)Termination reason: Refutation
% 0.81/0.63 % (1430165)Time elapsed: 0.159 s
% 0.81/0.63 % (1430165)Peak memory usage: 14 MB
% 0.81/0.63 % (1430165)Instructions burned: 297 (million)
% 0.81/0.63 % (1430158)Success in time 0.195 s
% 0.81/0.63 % Vampire exiting
%------------------------------------------------------------------------------