%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n002.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 2.79s 1.36s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 53 unt; 1 def)
% Number of atoms : 59 ( 49 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 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(f8,definition,
( spl0_1
<=> meet(b,a) = meet(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( meet(b,a) != meet(a,b)
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f8]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f3,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f4,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f4,f3]) ).
fof(f32,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f5,f4]) ).
fof(f33,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f40,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
inference(superposition,[],[f3,f32]) ).
fof(f42,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f33,f1]) ).
fof(f48,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)),
inference(superposition,[],[f32,f33]) ).
fof(f64,plain,
! [X0] : meet(X0,X0) = meet(meet(X0,X0),meet(X0,X0)),
inference(superposition,[],[f18,f40]) ).
fof(f81,plain,
! [X0,X1] : meet(X0,X0) = meet(meet(meet(X0,X0),join(X1,meet(X0,X0))),meet(X0,X0)),
inference(superposition,[],[f18,f64]) ).
fof(f83,plain,
! [X0] : meet(X0,X0) = join(meet(join(meet(X0,X0),meet(X0,X0)),meet(X0,X0)),meet(X0,X0)),
inference(superposition,[],[f40,f64]) ).
fof(f86,plain,
! [X0,X1] : meet(X0,X0) = join(meet(X0,X0),meet(X1,join(meet(X0,X0),meet(X0,X0)))),
inference(superposition,[],[f2,f64]) ).
fof(f88,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[],[f42,f33]) ).
fof(f97,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = join(join(meet(X0,X1),meet(X0,meet(X0,X1))),meet(X0,meet(X0,X1))),
inference(superposition,[],[f32,f42]) ).
fof(f102,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f88,f33]) ).
fof(f122,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f81,f102]) ).
fof(f124,plain,
! [X0] : join(meet(join(X0,X0),X0),X0) = X0,
inference(backward_demodulation,[],[f83,f102]) ).
fof(f127,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f86,f102]) ).
fof(f128,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),X0),
inference(backward_demodulation,[],[f15,f122]) ).
fof(f139,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f4,f102]) ).
fof(f141,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[],[f124,f139]) ).
fof(f152,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f127,f141]) ).
fof(f159,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,meet(X0,X1))),
inference(backward_demodulation,[],[f97,f152]) ).
fof(f161,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(join(X0,X1),X0)),
inference(backward_demodulation,[],[f48,f152]) ).
fof(f168,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f161,f152]) ).
fof(f169,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f159,f152]) ).
fof(f223,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f168,f32]) ).
fof(f404,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))),
inference(superposition,[],[f1,f122]) ).
fof(f602,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),
inference(superposition,[],[f128,f122]) ).
fof(f654,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),
inference(forward_demodulation,[],[f602,f169]) ).
fof(f667,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(forward_demodulation,[],[f654,f223]) ).
fof(f672,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f667,f32]) ).
fof(f674,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f404,f672]) ).
fof(f682,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f674,f152]) ).
fof(f700,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f223,f682]) ).
fof(f754,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(superposition,[],[f1,f700]) ).
fof(f764,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f754,f141]) ).
fof(f1012,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f152,f764]) ).
fof(f1036,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f19,f1012]) ).
fof(f2320,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f764,f1036]) ).
fof(f2334,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[],[f2320,f1036]) ).
fof(f2366,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f10,f2334]) ).
fof(f2367,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2366]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f11]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f2367]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f2370,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:03:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.36 % (3550633)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.79/1.36 % (3550643)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2834305493:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.79/1.36 % (3550643)First to succeed.
% 2.79/1.36 % (3550643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3550633"
% 2.79/1.36 % (3550638)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=3421462858:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.79/1.36 % (3550639)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=1554234138:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.79/1.36 % (3550640)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3719810626:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.79/1.36 % (3550644)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=505426882:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.79/1.36 % (3550641)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3231458080:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.79/1.36 % (3550642)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=113660230:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.79/1.36 % (3550644)Also succeeded, but the first one will report.
% 2.79/1.36 % (3550642)Also succeeded, but the first one will report.
% 2.79/1.36 % (3550641)Instruction limit reached!
% 2.79/1.36 % (3550641)------------------------------
% 2.79/1.36 % (3550641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.36 % (3550641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.36 % (3550641)CaDiCaL version: 2.1.3
% 2.79/1.36 % (3550641)Termination reason: Instruction limit
% 2.79/1.36 % (3550641)Termination phase: Saturation
% 2.79/1.36 % (3550641)Time elapsed: 0.087 s
% 2.79/1.36 % (3550641)Peak memory usage: 88 MB
% 2.79/1.36 % (3550641)Instructions burned: 137 (million)
% 2.79/1.36 % (3550643)Refutation found. Thanks to Tanya!
% 2.79/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.36 % (3550643)------------------------------
% 2.79/1.36 % (3550643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.36 % (3550643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.36 % (3550643)CaDiCaL version: 2.1.3
% 2.79/1.36 % (3550643)Termination reason: Refutation
% 2.79/1.36 % (3550643)Time elapsed: 0.043 s
% 2.79/1.36 % (3550643)Peak memory usage: 90 MB
% 2.79/1.36 % (3550643)Instructions burned: 117 (million)
% 2.79/1.36 % (3550643)------------------------------
% 2.79/1.36 % (3550643)------------------------------
% 2.79/1.36 % (3550633)Success in time 0.308 s
% 2.79/1.36 % Vampire exiting
%------------------------------------------------------------------------------