%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:45:49 AM UTC 2026
% Result : Unsatisfiable 7.32s 1.94s
% Output : Refutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 110 !; 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(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
fof(f6,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X0,join(meet(X1,meet(X0,X2)),X3)),meet(X1,meet(X0,X2))),
inference(superposition,[],[f4,f1]) ).
fof(f9,plain,
! [X2,X3] : join(X2,meet(X2,X3)) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f12,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(meet(X0,X1),X2)),meet(X0,X1)),
inference(superposition,[],[f4,f9]) ).
fof(f15,plain,
! [X2,X1] : join(meet(X1,X2),X2) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f34,plain,
! [X2,X0] : meet(X0,join(X2,X0)) = X0,
inference(superposition,[],[f2,f9]) ).
fof(f36,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(X2,X0)),
inference(superposition,[],[f2,f15]) ).
fof(f44,plain,
! [X3,X1] : join(X1,meet(X3,X1)) = X1,
inference(superposition,[],[f1,f2]) ).
fof(f45,plain,
! [X2,X1] : meet(join(X1,X2),X2) = X2,
inference(superposition,[],[f4,f2]) ).
fof(f66,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(meet(X2,meet(X1,X0)),X1),
inference(superposition,[],[f34,f1]) ).
fof(f67,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f34,f9]) ).
fof(f85,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0)),
inference(superposition,[],[f4,f44]) ).
fof(f103,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f45,f9]) ).
fof(f138,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f15,f67]) ).
fof(f180,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(meet(X0,X1),X2),X0),
inference(superposition,[],[f66,f67]) ).
fof(f205,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(meet(X2,meet(X1,X0)),X0),
inference(superposition,[],[f36,f44]) ).
fof(f244,plain,
! [X2,X0,X1] : join(meet(X0,meet(X2,X1)),X1) = X1,
inference(superposition,[],[f15,f205]) ).
fof(f565,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f85,f138]) ).
fof(f679,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X2,meet(X0,X1)),meet(X1,X0)),
inference(superposition,[],[f66,f565]) ).
fof(f680,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f67,f565]) ).
fof(f685,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f138,f565]) ).
fof(f803,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f565,f680]) ).
fof(f814,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X0,X1),X2)),
inference(backward_demodulation,[],[f180,f803]) ).
fof(f830,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X1,X0),meet(X2,meet(X0,X1))),
inference(backward_demodulation,[],[f679,f803]) ).
fof(f831,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,meet(X0,X2)),X3))),
inference(backward_demodulation,[],[f6,f803]) ).
fof(f834,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X0,join(meet(X0,X1),X2))),
inference(backward_demodulation,[],[f12,f803]) ).
fof(f839,plain,
meet(a,meet(b,c)) != meet(c,meet(a,b)),
inference(backward_demodulation,[],[f5,f803]) ).
fof(f1242,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,meet(X0,X2)),meet(X1,X2)),
inference(superposition,[],[f834,f244]) ).
fof(f1307,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(meet(X1,X2),meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f1242,f803]) ).
fof(f1866,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,meet(X1,X2)),meet(X1,meet(meet(X1,X2),X0))),
inference(superposition,[],[f831,f685]) ).
fof(f1944,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(meet(X1,X2),X0)),
inference(forward_demodulation,[],[f1866,f830]) ).
fof(f3761,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(meet(meet(X2,X0),meet(X1,X0)),meet(X2,meet(X1,X0))),
inference(superposition,[],[f1307,f1307]) ).
fof(f3764,plain,
! [X2,X0,X1] : meet(meet(X1,X2),X0) = meet(meet(X1,X0),meet(meet(X1,X2),X0)),
inference(superposition,[],[f1307,f814]) ).
fof(f3856,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(meet(X2,meet(X1,X0)),meet(meet(X2,X0),meet(X1,X0))),
inference(forward_demodulation,[],[f3761,f803]) ).
fof(f3880,plain,
! [X2,X0,X1] : meet(X2,meet(X1,X0)) = meet(meet(X2,X0),meet(X1,X0)),
inference(forward_demodulation,[],[f3856,f3764]) ).
fof(f3947,plain,
! [X2,X0,X1] : meet(X0,meet(X0,meet(X2,X1))) = meet(meet(X2,X1),meet(X0,X1)),
inference(superposition,[],[f1944,f3880]) ).
fof(f4022,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X0,meet(X0,meet(X2,X1))),
inference(forward_demodulation,[],[f3947,f3880]) ).
fof(f4073,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[],[f4022,f103]) ).
fof(f4135,plain,
meet(a,meet(b,c)) != meet(a,meet(c,b)),
inference(backward_demodulation,[],[f839,f4073]) ).
fof(f4141,plain,
meet(a,meet(b,c)) != meet(a,meet(b,c)),
inference(forward_demodulation,[],[f4135,f803]) ).
fof(f4142,plain,
$false,
inference(trivial_inequality_removal,[],[f4141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n011.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:56:30 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.32/1.94 % (2426598)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.32/1.94 % (2426655)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3243248967:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.32/1.94 % (2426659)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2930500912:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.32/1.94 % (2426660)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1258002515:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.32/1.94 % (2426657)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2476840459:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.32/1.94 % (2426652)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=103629349:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.32/1.94 % (2426651)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=3371188945:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.32/1.94 % (2426653)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2993780364:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.32/1.94 % (2426655)Instruction limit reached!
% 7.32/1.94 % (2426655)------------------------------
% 7.32/1.94 % (2426655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2426655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2426655)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2426655)Termination reason: Instruction limit
% 7.32/1.94 % (2426655)Termination phase: Saturation
% 7.32/1.94 % (2426655)Time elapsed: 0.048 s
% 7.32/1.94 % (2426655)Peak memory usage: 89 MB
% 7.32/1.94 % (2426655)Instructions burned: 138 (million)
% 7.32/1.94 % (2426657)Instruction limit reached!
% 7.32/1.94 % (2426657)------------------------------
% 7.32/1.94 % (2426657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2426657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2426657)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2426657)Termination reason: Instruction limit
% 7.32/1.94 % (2426657)Termination phase: Saturation
% 7.32/1.94 % (2426657)Time elapsed: 0.103 s
% 7.32/1.94 % (2426657)Peak memory usage: 89 MB
% 7.32/1.94 % (2426657)Instructions burned: 182 (million)
% 7.32/1.94 % (2426708)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1446583817:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 7.32/1.94 % (2426659)Instruction limit reached!
% 7.32/1.94 % (2426659)------------------------------
% 7.32/1.94 % (2426659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2426659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2426659)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2426659)Termination reason: Instruction limit
% 7.32/1.94 % (2426659)Termination phase: Saturation
% 7.32/1.94 % (2426659)Time elapsed: 0.170 s
% 7.32/1.94 % (2426659)Peak memory usage: 91 MB
% 7.32/1.94 % (2426659)Instructions burned: 258 (million)
% 7.32/1.94 % (2426725)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=82208594:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 7.32/1.94 % (2426745)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=61156123:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 7.32/1.94 % (2426745)Instruction limit reached!
% 7.32/1.94 % (2426745)------------------------------
% 7.32/1.94 % (2426745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2426745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2426745)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2426745)Termination reason: Instruction limit
% 7.32/1.94 % (2426745)Termination phase: Saturation
% 7.32/1.94 % (2426745)Time elapsed: 0.102 s
% 7.32/1.94 % (2426745)Peak memory usage: 92 MB
% 7.32/1.94 % (2426745)Instructions burned: 217 (million)
% 7.32/1.94 % (2426777)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1795647317:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 7.32/1.94 % (2426708)First to succeed.
% 7.32/1.94 % (2426708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2426598"
% 7.32/1.94 % (2426660)Instruction limit reached!
% 7.32/1.94 % (2426660)------------------------------
% 7.32/1.94 % (2426660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2426660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2426660)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2426660)Termination reason: Instruction limit
% 7.32/1.94 % (2426660)Termination phase: Saturation
% 7.32/1.94 % (2426660)Time elapsed: 0.668 s
% 7.32/1.94 % (2426660)Peak memory usage: 98 MB
% 7.32/1.94 % (2426660)Instructions burned: 1188 (million)
% 7.32/1.94 % (2426708)Refutation found. Thanks to Tanya!
% 7.32/1.94 % SZS status Unsatisfiable for theBenchmark
% 7.32/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 7.32/1.95 % (2426708)------------------------------
% 7.32/1.95 % (2426708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.95 % (2426708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.95 % (2426708)CaDiCaL version: 2.1.3
% 7.32/1.95 % (2426708)Termination reason: Refutation
% 7.32/1.95 % (2426708)Time elapsed: 0.489 s
% 7.32/1.95 % (2426708)Peak memory usage: 134 MB
% 7.32/1.95 % (2426708)Instructions burned: 1345 (million)
% 7.32/1.95 % (2426708)------------------------------
% 7.32/1.95 % (2426708)------------------------------
% 7.32/1.95 % (2426598)Success in time 0.967 s
% 7.32/1.95 % Vampire exiting
%------------------------------------------------------------------------------