%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT091-1 : 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 : 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 11:45:59 AM UTC 2026
% Result : Unsatisfiable 3.27s 1.34s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 6
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 136 ( 136 !; 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,
join(b,a) != join(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_4) ).
fof(f7,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)),
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f4,f3]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f21,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[],[f2,f4]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(join(X0,meet(X3,meet(join(X0,X1),join(X2,X0)))),meet(join(X0,X1),join(X2,X0))),
inference(superposition,[],[f5,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(f83,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),X0),X0),X0) = X0,
inference(superposition,[],[f37,f28]) ).
fof(f97,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f83,f28]) ).
fof(f101,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(superposition,[],[f21,f97]) ).
fof(f112,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f4,f97]) ).
fof(f127,plain,
! [X3,X0] : meet(meet(X0,join(X3,X0)),X0) = X0,
inference(superposition,[],[f14,f4]) ).
fof(f160,plain,
! [X0] : join(X0,X0) = join(join(X0,join(X0,X0)),join(X0,X0)),
inference(superposition,[],[f27,f112]) ).
fof(f165,plain,
! [X0] : join(X0,X0) = join(X0,join(X0,X0)),
inference(forward_demodulation,[],[f160,f101]) ).
fof(f169,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f165,f101]) ).
fof(f175,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(superposition,[],[f2,f169]) ).
fof(f188,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f175,f97]) ).
fof(f198,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,X0),meet(X1,X0)),
inference(superposition,[],[f14,f188]) ).
fof(f204,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
inference(superposition,[],[f1,f188]) ).
fof(f205,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f204,f97]) ).
fof(f207,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f198,f97]) ).
fof(f260,plain,
! [X3,X0] : join(X0,meet(X0,join(meet(X0,join(X3,X0)),X0))) = X0,
inference(superposition,[],[f19,f19]) ).
fof(f345,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f205,f207]) ).
fof(f376,plain,
! [X0,X1] : meet(X1,X0) = join(meet(meet(X1,X0),X0),meet(meet(X1,X0),X0)),
inference(superposition,[],[f1,f345]) ).
fof(f391,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(forward_demodulation,[],[f376,f169]) ).
fof(f405,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f391,f28]) ).
fof(f406,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f391,f37]) ).
fof(f882,plain,
! [X0,X1] : meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = join(meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(X0,X0)),meet(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0)),
inference(superposition,[],[f7,f260]) ).
fof(f895,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)),
inference(forward_demodulation,[],[f882,f406]) ).
fof(f916,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),X0),
inference(forward_demodulation,[],[f895,f127]) ).
fof(f927,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),X0),
inference(forward_demodulation,[],[f916,f97]) ).
fof(f931,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[],[f927,f345]) ).
fof(f966,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(superposition,[],[f188,f931]) ).
fof(f974,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f966,f27]) ).
fof(f1034,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f1,f974]) ).
fof(f1058,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(meet(X0,join(X1,X0)),X0),
inference(forward_demodulation,[],[f1034,f169]) ).
fof(f1070,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f1058,f127]) ).
fof(f1110,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f14,f1070]) ).
fof(f1114,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f188,f1070]) ).
fof(f1212,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f1114,f27]) ).
fof(f1265,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f1212,f405]) ).
fof(f1273,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(superposition,[],[f1,f1212]) ).
fof(f1302,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f1273,f169]) ).
fof(f1546,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f1,f1265]) ).
fof(f1574,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f1546,f169]) ).
fof(f1621,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f188,f1574]) ).
fof(f1677,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f188,f1302]) ).
fof(f1721,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f14,f1677]) ).
fof(f1889,plain,
! [X2,X0,X1] : join(meet(X0,meet(meet(join(X1,X0),join(X2,X0)),join(meet(join(X1,X0),join(X2,X0)),X0))),meet(X0,meet(join(X1,X0),join(X2,X0)))) = X0,
inference(superposition,[],[f7,f1110]) ).
fof(f1912,plain,
! [X2,X0,X1] : join(meet(X0,meet(join(X1,X0),join(X2,X0))),meet(X0,meet(join(X1,X0),join(X2,X0)))) = X0,
inference(forward_demodulation,[],[f1889,f1574]) ).
fof(f1939,plain,
! [X2,X0,X1] : meet(X0,meet(join(X1,X0),join(X2,X0))) = X0,
inference(forward_demodulation,[],[f1912,f169]) ).
fof(f1989,plain,
! [X2,X0,X1] : meet(X0,meet(join(X2,X0),join(X0,X1))) = X0,
inference(superposition,[],[f1939,f1621]) ).
fof(f2652,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(meet(X1,X0),join(meet(X1,X0),meet(X0,X1)))),meet(meet(X0,X1),meet(X1,X0))),
inference(superposition,[],[f7,f1721]) ).
fof(f2680,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(meet(X1,X0),join(meet(X1,X0),meet(X0,X1)))),meet(X1,X0)),
inference(forward_demodulation,[],[f2652,f1721]) ).
fof(f2702,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),meet(X1,X0)),meet(X1,X0)),
inference(forward_demodulation,[],[f2680,f1574]) ).
fof(f2707,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[],[f2702,f345]) ).
fof(f4707,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,X1)) = join(join(X1,X0),meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f26,f1989]) ).
fof(f4916,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[],[f4707,f1677]) ).
fof(f5104,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f4916,f2707]) ).
fof(f5343,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f5104,f4916]) ).
fof(f5681,plain,
join(b,a) != join(b,a),
inference(superposition,[],[f6,f5343]) ).
fof(f5682,plain,
$false,
inference(trivial_inequality_removal,[],[f5681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:58:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.27/1.34 % (1430403)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.27/1.34 % (1430457)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3516800061:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.27/1.34 % (1430460)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1535856241:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.27/1.34 % (1430461)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1999610342:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.27/1.34 % (1430456)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=3952935198:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.27/1.34 % (1430458)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1106443256:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.27/1.34 % (1430459)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1775691520:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.27/1.34 % (1430455)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=2428714184:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.27/1.34 % (1430458)Instruction limit reached!
% 3.27/1.34 % (1430458)------------------------------
% 3.27/1.34 % (1430458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.34 % (1430458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.34 % (1430458)CaDiCaL version: 2.1.3
% 3.27/1.34 % (1430458)Termination reason: Instruction limit
% 3.27/1.34 % (1430458)Termination phase: Saturation
% 3.27/1.34 % (1430458)Time elapsed: 0.084 s
% 3.27/1.34 % (1430458)Peak memory usage: 89 MB
% 3.27/1.34 % (1430458)Instructions burned: 136 (million)
% 3.27/1.34 % (1430461)First to succeed.
% 3.27/1.34 % (1430461)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1430403"
% 3.27/1.34 % (1430459)Instruction limit reached!
% 3.27/1.34 % (1430459)------------------------------
% 3.27/1.34 % (1430459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.34 % (1430459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.34 % (1430459)CaDiCaL version: 2.1.3
% 3.27/1.34 % (1430459)Termination reason: Instruction limit
% 3.27/1.34 % (1430459)Termination phase: Saturation
% 3.27/1.34 % (1430459)Time elapsed: 0.101 s
% 3.27/1.34 % (1430459)Peak memory usage: 89 MB
% 3.27/1.34 % (1430459)Instructions burned: 182 (million)
% 3.27/1.34 % (1430460)Also succeeded, but the first one will report.
% 3.27/1.34 % (1430469)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3337653558:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.27/1.34 % (1430470)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1695649753:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.27/1.34 % (1430461)Refutation found. Thanks to Tanya!
% 3.27/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.27/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 4.14/1.53 % (1430461)------------------------------
% 4.14/1.53 % (1430461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.53 % (1430461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.53 % (1430461)CaDiCaL version: 2.1.3
% 4.14/1.53 % (1430461)Termination reason: Refutation
% 4.14/1.53 % (1430461)Time elapsed: 0.091 s
% 4.14/1.53 % (1430461)Peak memory usage: 89 MB
% 4.14/1.53 % (1430461)Instructions burned: 161 (million)
% 4.14/1.53 % (1430461)------------------------------
% 4.14/1.53 % (1430461)------------------------------
% 4.14/1.53 % (1430403)Success in time 0.491 s
% 4.14/1.53 % Vampire exiting
%------------------------------------------------------------------------------