%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT151-1 : TPTP v9.3.1. Released v3.1.0.
% 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 11:46:05 AM UTC 2026
% Result : Unsatisfiable 17.41s 3.49s
% Output : Refutation 17.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
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(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H39) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(b,join(d,meet(a,c)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H42) ).
fof(f12,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f16,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f42,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f24,f5]) ).
fof(f60,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f61,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f70,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f75,plain,
! [X2,X0,X1] : join(X1,X2) = join(X1,join(meet(X0,X1),X2)),
inference(superposition,[],[f61,f5]) ).
fof(f108,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f12,f16]) ).
fof(f113,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f108,f5]) ).
fof(f132,plain,
! [X2,X0,X1] : meet(X1,join(join(X0,meet(X1,X2)),meet(X2,join(X1,X0)))) = meet(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f9,f16]) ).
fof(f134,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,meet(X0,join(X2,X1)))) = meet(X2,join(meet(X0,join(X1,meet(X2,X0))),X3)),
inference(superposition,[],[f9,f6]) ).
fof(f151,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(meet(X2,join(X1,X0)),join(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f132,f6]) ).
fof(f159,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(meet(X1,X2),join(meet(X2,join(X1,X0)),X0))),
inference(forward_demodulation,[],[f151,f70]) ).
fof(f162,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(meet(X1,X2),join(X0,meet(X2,join(X1,X0))))),
inference(forward_demodulation,[],[f159,f6]) ).
fof(f245,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X1,join(X0,meet(X0,X1))))) = meet(X0,join(X2,meet(X1,meet(X0,X1)))),
inference(superposition,[],[f9,f2]) ).
fof(f252,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(X1,join(X0,meet(X0,X1))))),
inference(forward_demodulation,[],[f245,f113]) ).
fof(f257,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(X1,join(X0,X0)))),
inference(forward_demodulation,[],[f252,f9]) ).
fof(f261,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X1,X0))) = meet(X0,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f257,f2]) ).
fof(f299,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,meet(X3,join(X0,X1))))) = meet(X0,join(X2,meet(join(X0,X1),X3))),
inference(superposition,[],[f24,f261]) ).
fof(f300,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(X3,join(X0,X1)))) = meet(X0,join(X2,meet(join(X0,X1),X3))),
inference(forward_demodulation,[],[f299,f24]) ).
fof(f915,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,join(X2,meet(X0,join(X1,X0)))),
inference(superposition,[],[f134,f3]) ).
fof(f996,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,join(X2,X0)),
inference(forward_demodulation,[],[f915,f12]) ).
fof(f2428,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(X4,meet(X3,join(X0,join(X1,meet(X2,X3)))))) = meet(X2,join(X4,meet(X3,join(X2,join(X1,X0))))),
inference(superposition,[],[f9,f60]) ).
fof(f4443,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X1,join(X0,X2)),join(meet(X0,X1),X3)),
inference(superposition,[],[f75,f42]) ).
fof(f4481,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X0,X1),join(X3,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f4443,f70]) ).
fof(f5299,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,meet(join(X0,X1),X3)))) = meet(X0,join(meet(join(X0,X1),X3),join(X2,meet(X3,join(join(X0,X1),X2))))),
inference(superposition,[],[f24,f162]) ).
fof(f5300,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,meet(join(X0,X1),X3)))) = meet(X0,join(meet(X3,join(join(X0,X1),X2)),X2)),
inference(forward_demodulation,[],[f5299,f4481]) ).
fof(f5400,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,meet(join(X0,X1),X3)))) = meet(X0,join(X2,meet(X3,join(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f5300,f996]) ).
fof(f5471,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,meet(join(X0,X1),X3)))) = meet(X0,join(X2,meet(X3,join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f5400,f8]) ).
fof(f5522,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(join(X0,X1),X3))) = meet(X0,join(X2,meet(X3,join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f5471,f24]) ).
fof(f6058,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(a,join(d,b))))),
inference(superposition,[],[f10,f2428]) ).
fof(f6059,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(join(a,d),c))),
inference(forward_demodulation,[],[f6058,f5522]) ).
fof(f6148,plain,
$false,
inference(forward_subsumption_resolution,[],[f6059,f300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT151-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:06:06 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 16.84/3.25 % (3554833)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.84/3.25 % (3554937)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2507400484:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 16.84/3.25 % (3554937)Refutation not found, incomplete strategy
% 16.84/3.25 % (3554937)------------------------------
% 16.84/3.25 % (3554937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.25 % (3554937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.25 % (3554937)CaDiCaL version: 2.1.3
% 16.84/3.25 % (3554937)Termination reason: Refutation not found, incomplete strategy
% 16.84/3.25 % (3554937)Time elapsed: 0.001 s
% 16.84/3.25 % (3554937)Peak memory usage: 87 MB
% 16.84/3.25 % (3554937)Instructions burned: 1 (million)
% 16.84/3.25 % (3554934)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=642758351:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 16.84/3.25 % (3554935)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3128431146:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 16.84/3.25 % (3554936)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=855426295:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 16.84/3.25 % (3554933)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=942512536:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 16.84/3.25 % (3554940)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1845262835:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 16.84/3.25 % (3554939)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1233939776:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 16.84/3.25 % (3554936)Instruction limit reached!
% 16.84/3.25 % (3554936)------------------------------
% 16.84/3.25 % (3554936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.25 % (3554936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.25 % (3554936)CaDiCaL version: 2.1.3
% 16.84/3.25 % (3554936)Termination reason: Instruction limit
% 16.84/3.25 % (3554936)Termination phase: Saturation
% 16.84/3.25 % (3554936)Time elapsed: 0.083 s
% 16.84/3.25 % (3554936)Peak memory usage: 88 MB
% 16.84/3.25 % (3554936)Instructions burned: 138 (million)
% 16.84/3.25 % (3554937)------------------------------
% 16.84/3.25 % (3554937)------------------------------
% 16.84/3.25 % (3554939)Instruction limit reached!
% 16.84/3.25 % (3554939)------------------------------
% 16.84/3.25 % (3554939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.25 % (3554939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.25 % (3554939)CaDiCaL version: 2.1.3
% 16.84/3.25 % (3554939)Termination reason: Instruction limit
% 16.84/3.25 % (3554939)Termination phase: Saturation
% 16.84/3.25 % (3554939)Time elapsed: 0.173 s
% 16.84/3.25 % (3554939)Peak memory usage: 90 MB
% 16.84/3.25 % (3554939)Instructions burned: 257 (million)
% 16.84/3.25 % (3554981)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=665792008:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 16.84/3.25 % (3554953)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4118464874:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 16.84/3.25 % (3554958)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4004120797:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 16.84/3.25 % (3554981)Instruction limit reached!
% 16.84/3.25 % (3554981)------------------------------
% 16.84/3.25 % (3554981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.25 % (3554981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.25 % (3554981)CaDiCaL version: 2.1.3
% 16.84/3.25 % (3554981)Termination reason: Instruction limit
% 17.41/3.49 % (3554981)Termination phase: Saturation
% 17.41/3.49 % (3554981)Time elapsed: 0.096 s
% 17.41/3.49 % (3554981)Peak memory usage: 89 MB
% 17.41/3.49 % (3554981)Instructions burned: 216 (million)
% 17.41/3.49 % (3554996)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=1118176515: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)
% 17.41/3.49 % (3554996)Instruction limit reached!
% 17.41/3.49 % (3554996)------------------------------
% 17.41/3.49 % (3554996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.41/3.49 % (3554996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.49 % (3554996)CaDiCaL version: 2.1.3
% 17.41/3.49 % (3554996)Termination reason: Instruction limit
% 17.41/3.49 % (3554996)Termination phase: Saturation
% 17.41/3.49 % (3554996)Time elapsed: 0.176 s
% 17.41/3.49 % (3554996)Peak memory usage: 93 MB
% 17.41/3.49 % (3554996)Instructions burned: 318 (million)
% 17.41/3.49 % (3554940)Instruction limit reached!
% 17.41/3.49 % (3554940)------------------------------
% 17.41/3.49 % (3554940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.41/3.49 % (3554940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.49 % (3554940)CaDiCaL version: 2.1.3
% 17.41/3.49 % (3554940)Termination reason: Instruction limit
% 17.41/3.49 % (3554940)Termination phase: Saturation
% 17.41/3.49 % (3554940)Time elapsed: 0.944 s
% 17.41/3.49 % (3554940)Peak memory usage: 97 MB
% 17.41/3.49 % (3554940)Instructions burned: 1188 (million)
% 17.41/3.49 % (3555004)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=3219608119:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 17.41/3.49 % (3555007)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3411991258:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 17.41/3.49 % (3554934)First to succeed.
% 17.41/3.49 % (3554934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3554833"
% 17.41/3.49 % (3554934)Refutation found. Thanks to Tanya!
% 17.41/3.49 % SZS status Unsatisfiable for theBenchmark
% 17.41/3.49 % SZS output start Proof for theBenchmark
% See solution above
% 17.41/3.49 % (3554934)------------------------------
% 17.41/3.49 % (3554934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.41/3.49 % (3554934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.49 % (3554934)CaDiCaL version: 2.1.3
% 17.41/3.49 % (3554934)Termination reason: Refutation
% 17.41/3.49 % (3554934)Time elapsed: 1.777 s
% 17.41/3.49 % (3554934)Peak memory usage: 137 MB
% 17.41/3.49 % (3554934)Instructions burned: 1774 (million)
% 17.41/3.49 % (3554934)------------------------------
% 17.41/3.49 % (3554934)------------------------------
% 17.41/3.49 % (3554833)Success in time 2.382 s
% 17.41/3.49 % Vampire exiting
%------------------------------------------------------------------------------