%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n014.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 0.14s 2.14s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(f17,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f18,plain,
! [X0,X1] : meet2(X1,join(X0,X1)) = X1,
inference(superposition,[],[f11,f6]) ).
fof(f195,plain,
! [X2,X0,X1] : meet2(X0,X1) = join(meet2(X0,X1),meet2(X0,meet2(X1,X2))),
inference(superposition,[],[f12,f13]) ).
fof(f200,plain,
! [X0,X1] : meet2(X0,X1) = meet(meet2(X0,X1),X0),
inference(superposition,[],[f17,f12]) ).
fof(f204,plain,
! [X0,X1] : meet2(X0,X1) = meet(X0,meet2(X0,X1)),
inference(forward_demodulation,[],[f200,f5]) ).
fof(f212,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f4,f7]) ).
fof(f218,plain,
! [X0,X1] : meet(X0,X1) = meet2(meet(X0,X1),X0),
inference(superposition,[],[f18,f4]) ).
fof(f220,plain,
! [X0,X1] : meet(X0,X1) = meet2(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f218,f10]) ).
fof(f343,plain,
! [X2,X0,X1] : meet(X2,X0) = join(meet(X2,X0),meet(X2,meet2(X0,X1))),
inference(superposition,[],[f212,f204]) ).
fof(f357,plain,
! [X2,X0,X1] : meet(X2,X1) = join(meet(X2,X1),meet(X2,meet2(X0,X1))),
inference(superposition,[],[f343,f10]) ).
fof(f463,plain,
! [X2,X0,X1] : meet2(X2,X0) = join(meet2(X2,X0),meet2(X2,meet(X0,X1))),
inference(superposition,[],[f195,f220]) ).
fof(f481,plain,
! [X2,X0,X1] : meet2(X2,X1) = join(meet2(X2,X1),meet2(X2,meet(X0,X1))),
inference(superposition,[],[f463,f5]) ).
fof(f719,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet2(X0,X1)),
inference(superposition,[],[f357,f204]) ).
fof(f844,plain,
! [X0,X1] : meet2(X0,X1) = join(meet2(X0,X1),meet(X0,X1)),
inference(superposition,[],[f481,f220]) ).
fof(f858,plain,
! [X0,X1] : meet2(X0,X1) = join(meet(X0,X1),meet2(X0,X1)),
inference(forward_demodulation,[],[f844,f6]) ).
fof(f866,plain,
! [X0,X1] : meet(X0,X1) = meet2(X0,X1),
inference(forward_demodulation,[],[f858,f719]) ).
fof(f920,plain,
meet(a,b) != meet(a,b),
inference(superposition,[],[f14,f866]) ).
fof(f921,plain,
$false,
inference(trivial_inequality_removal,[],[f920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:56:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.14/2.14 % (831708)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.14/2.14 % (831717)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2657054232:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.14/2.14 % (831717)Refutation not found, incomplete strategy
% 0.14/2.14 % (831717)------------------------------
% 0.14/2.14 % (831717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.14 % (831717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.14 % (831717)CaDiCaL version: 2.1.3
% 0.14/2.14 % (831717)Termination reason: Refutation not found, incomplete strategy
% 0.14/2.14 % (831717)Time elapsed: 0.001 s
% 0.14/2.14 % (831717)Peak memory usage: 87 MB
% 0.14/2.14 % (831717)Instructions burned: 1 (million)
% 0.14/2.14 % (831715)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=967340578:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.14/2.14 % (831716)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1429330295:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.14/2.14 % (831713)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=1263516290:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.14/2.14 % (831719)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2379187028:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.14/2.14 % (831714)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=1566934943:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.14/2.14 % (831718)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3576311287:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.14/2.14 % (831716)Instruction limit reached!
% 0.14/2.14 % (831716)------------------------------
% 0.14/2.14 % (831716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.14 % (831716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.14 % (831716)CaDiCaL version: 2.1.3
% 0.14/2.14 % (831716)Termination reason: Instruction limit
% 0.14/2.14 % (831716)Termination phase: Saturation
% 0.14/2.14 % (831716)Time elapsed: 0.083 s
% 0.14/2.14 % (831716)Peak memory usage: 88 MB
% 0.14/2.14 % (831716)Instructions burned: 137 (million)
% 0.14/2.14 % (831717)------------------------------
% 0.14/2.14 % (831717)------------------------------
% 0.14/2.14 % (831718)Instruction limit reached!
% 0.14/2.14 % (831718)------------------------------
% 0.14/2.14 % (831718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.14 % (831718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.14 % (831718)CaDiCaL version: 2.1.3
% 0.14/2.14 % (831718)Termination reason: Instruction limit
% 0.14/2.14 % (831718)Termination phase: Saturation
% 0.14/2.14 % (831718)Time elapsed: 0.163 s
% 0.14/2.14 % (831718)Peak memory usage: 90 MB
% 0.14/2.14 % (831718)Instructions burned: 258 (million)
% 0.14/2.14 % (831728)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1449627998:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 0.14/2.14 % (831727)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=973894019:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 0.14/2.14 % (831729)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2430298070:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 0.14/2.14 % (831729)Instruction limit reached!
% 0.14/2.14 % (831729)------------------------------
% 0.14/2.14 % (831729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.14 % (831729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.14 % (831729)CaDiCaL version: 2.1.3
% 0.14/2.14 % (831729)Termination reason: Instruction limit
% 0.14/2.14 % (831729)Termination phase: Saturation
% 0.14/2.14 % (831729)Time elapsed: 0.107 s
% 0.14/2.14 % (831729)Peak memory usage: 90 MB
% 0.14/2.14 % (831729)Instructions burned: 215 (million)
% 0.14/2.14 % (831733)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=1060700305:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 0.14/2.14 % (831719)Instruction limit reached!
% 0.14/2.14 % (831719)------------------------------
% 0.14/2.14 % (831719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.14 % (831719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.14 % (831719)CaDiCaL version: 2.1.3
% 0.14/2.14 % (831719)Termination reason: Instruction limit
% 0.14/2.14 % (831719)Termination phase: Saturation
% 0.14/2.14 % (831719)Time elapsed: 0.620 s
% 0.14/2.14 % (831719)Peak memory usage: 99 MB
% 0.14/2.14 % (831719)Instructions burned: 1188 (million)
% 0.14/2.14 % (831728)First to succeed.
% 0.14/2.14 % (831728)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-831708"
% 0.14/2.14 % (831715)Also succeeded, but the first one will report.
% 0.14/2.14 % (831713)Also succeeded, but the first one will report.
% 0.14/2.14 % (831733)Also succeeded, but the first one will report.
% 0.14/2.14 % (831735)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=4217961275:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 0.14/2.14 % (831728)Refutation found. Thanks to Tanya!
% 0.14/2.14 % SZS status Unsatisfiable for theBenchmark
% 0.14/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/2.14 % (831728)------------------------------
% 0.14/2.14 % (831728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.14 % (831728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.14 % (831728)CaDiCaL version: 2.1.3
% 0.14/2.14 % (831728)Termination reason: Refutation
% 0.14/2.14 % (831728)Time elapsed: 0.439 s
% 0.14/2.14 % (831728)Peak memory usage: 128 MB
% 0.14/2.14 % (831728)Instructions burned: 1009 (million)
% 0.14/2.14 % (831728)------------------------------
% 0.14/2.14 % (831728)------------------------------
% 0.14/2.14 % (831708)Success in time 1.098 s
% 0.14/2.14 % Vampire exiting
%------------------------------------------------------------------------------