%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG300-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:19:45 AM UTC 2026
% Result : Satisfiable 6.09s 1.63s
% Output : Saturation 6.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u3,axiom,
product(product(product(product(product(product(product(X1,X1),X1),X0),product(product(product(X1,X1),X1),X0)),product(product(product(X1,X1),X1),X0)),X2),X0) = X2 ).
cnf(sos01,axiom,
product(product(product(product(X0,X0),X0),X1),product(X0,X2)) = X1 ).
cnf(sos02,axiom,
tptp1 != tptp0 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG300-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:03:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.09/1.63 % (1509039)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.09/1.63 % (1509045)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=770261789:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.09/1.63 % (1509044)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=948991159:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.09/1.63 % (1509049)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2056694194:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.09/1.63 % (1509050)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1338039277:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.09/1.63 % (1509048)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3302375564:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.09/1.63 % (1509047)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=899786015:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.09/1.63 % (1509046)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2562393416:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.09/1.63 % (1509050)Refutation not found, incomplete strategy
% 6.09/1.63 % (1509050)------------------------------
% 6.09/1.63 % (1509050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.63 % (1509050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.63 % (1509050)CaDiCaL version: 2.1.3
% 6.09/1.63 % (1509050)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.63 % (1509050)Time elapsed: 0.0000 s
% 6.09/1.63 % (1509050)Peak memory usage: 86 MB
% 6.09/1.63 % (1509047)Refutation not found, incomplete strategy
% 6.09/1.63 % (1509047)------------------------------
% 6.09/1.63 % (1509047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.63 % (1509047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.63 % (1509047)CaDiCaL version: 2.1.3
% 6.09/1.63 % (1509047)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.63 % (1509047)Time elapsed: 0.001 s
% 6.09/1.63 % (1509047)Peak memory usage: 87 MB
% 6.09/1.63 % (1509047)Instructions burned: 1 (million)
% 6.09/1.63 % (1509049)Refutation not found, incomplete strategy
% 6.09/1.63 % (1509049)------------------------------
% 6.09/1.63 % (1509049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.63 % (1509049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.63 % (1509049)CaDiCaL version: 2.1.3
% 6.09/1.63 % (1509049)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.63 % (1509049)Time elapsed: 0.001 s
% 6.09/1.63 % (1509049)Peak memory usage: 87 MB
% 6.09/1.63 % (1509048)Refutation not found, incomplete strategy
% 6.09/1.63 % (1509048)------------------------------
% 6.09/1.63 % (1509048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.63 % (1509049)Instructions burned: 1 (million)
% 6.09/1.63 % (1509048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.63 % (1509048)CaDiCaL version: 2.1.3
% 6.09/1.63 % (1509048)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.63 % (1509048)Time elapsed: 0.002 s
% 6.09/1.63 % (1509048)Peak memory usage: 87 MB
% 6.09/1.63 % (1509048)Instructions burned: 1 (million)
% 6.09/1.63 % (1509048)------------------------------
% 6.09/1.63 % (1509048)------------------------------
% 6.09/1.63 % (1509047)------------------------------
% 6.09/1.63 % (1509047)------------------------------
% 6.09/1.63 % (1509050)------------------------------
% 6.09/1.63 % (1509050)------------------------------
% 6.09/1.63 % (1509049)------------------------------
% 6.09/1.63 % (1509049)------------------------------
% 6.09/1.63 % (1509045)First to succeed.
% 6.09/1.63 % (1509045)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1509039"
% 6.09/1.63 % (1509061)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=4152521397:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 6.09/1.63 % (1509061)Also succeeded, but the first one will report.
% 6.09/1.63 % (1509058)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2288922961:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 6.09/1.63 % (1509059)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3574717154:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 6.09/1.63 % (1509060)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1082205637:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 6.09/1.63 % (1509060)Refutation not found, incomplete strategy
% 6.09/1.63 % (1509060)------------------------------
% 6.09/1.63 % (1509060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.63 % (1509060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.63 % (1509060)CaDiCaL version: 2.1.3
% 6.09/1.63 % (1509060)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.63 % (1509060)Time elapsed: 0.001 s
% 6.09/1.63 % (1509060)Peak memory usage: 87 MB
% 6.09/1.63 % SZS status Satisfiable for theBenchmark
% 6.09/1.63 % SZS output start Saturation.
% See solution above
% 6.09/1.63 % SZS output start Definitions and Model Updates.
% 6.09/1.63 % SZS output end Definitions and Model Updates.
% 6.09/1.63 % (1509045)------------------------------
% 6.09/1.63 % (1509045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.63 % (1509045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.63 % (1509045)CaDiCaL version: 2.1.3
% 6.09/1.63 % (1509045)Termination reason: Satisfiable
% 6.09/1.63 % (1509045)Time elapsed: 0.368 s
% 6.09/1.63 % (1509045)Peak memory usage: 127 MB
% 6.09/1.63 % (1509045)Instructions burned: 890 (million)
% 6.09/1.63 % (1509045)------------------------------
% 6.09/1.63 % (1509045)------------------------------
% 6.09/1.63 % (1509039)Success in time 0.77 s
% 6.09/1.63 % Vampire exiting
%------------------------------------------------------------------------------