%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO027-1 : 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 : n017.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 09:35:56 AM UTC 2026
% Result : Satisfiable 0.18s 1.71s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u17,negated_conjecture,
a != sF1 ).
cnf(u23,axiom,
add(a,a) = sF1 ).
cnf(pixley3,axiom,
add(multiply(X0,inverse(X1)),add(multiply(X0,X0),multiply(inverse(X1),X0))) = X0 ).
cnf(pixley2,axiom,
add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0 ).
cnf(u27,axiom,
add(multiply(X1,inverse(X0)),multiply(X0,add(X1,inverse(X0)))) = X1 ).
cnf(u26,negated_conjecture,
add(multiply(X1,inverse(X1)),multiply(X0,one)) = X0 ).
cnf(u19,negated_conjecture,
add(X0,inverse(X0)) = one ).
cnf(multiply_add_property,axiom,
multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)) ).
cnf(u29,axiom,
add(multiply(X0,inverse(X1)),multiply(X0,add(X0,inverse(X1)))) = X0 ).
cnf(u10,negated_conjecture,
one = sF0(X0) ).
cnf(pixley1,axiom,
add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO027-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:00:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 0.18/1.71 % (4027243)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.18/1.71 % (4027248)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=2639413329:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.18/1.71 % (4027254)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=606089430:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.18/1.71 % (4027250)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1574837786:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.18/1.71 % (4027249)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=226871657:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.18/1.71 % (4027251)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3257550287:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.18/1.71 % (4027252)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2823917145:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.18/1.71 % (4027253)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1288926106:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.18/1.71 % (4027254)Refutation not found, incomplete strategy
% 0.18/1.71 % (4027254)------------------------------
% 0.18/1.71 % (4027254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027254)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027254)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.71 % (4027254)Time elapsed: 0.001 s
% 0.18/1.71 % (4027254)Peak memory usage: 87 MB
% 0.18/1.71 % (4027254)Instructions burned: 1 (million)
% 0.18/1.71 % (4027251)Refutation not found, incomplete strategy
% 0.18/1.71 % (4027251)------------------------------
% 0.18/1.71 % (4027251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027251)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027251)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.71 % (4027251)Time elapsed: 0.002 s
% 0.18/1.71 % (4027251)Peak memory usage: 87 MB
% 0.18/1.71 % (4027251)Instructions burned: 1 (million)
% 0.18/1.71 % (4027252)Instruction limit reached!
% 0.18/1.71 % (4027252)------------------------------
% 0.18/1.71 % (4027252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027252)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027252)Termination reason: Instruction limit
% 0.18/1.71 % (4027252)Termination phase: Saturation
% 0.18/1.71 % (4027252)Time elapsed: 0.104 s
% 0.18/1.71 % (4027252)Peak memory usage: 89 MB
% 0.18/1.71 % (4027252)Instructions burned: 182 (million)
% 0.18/1.71 % (4027253)Instruction limit reached!
% 0.18/1.71 % (4027253)------------------------------
% 0.18/1.71 % (4027253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027253)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027253)Termination reason: Instruction limit
% 0.18/1.71 % (4027253)Termination phase: Saturation
% 0.18/1.71 % (4027253)Time elapsed: 0.162 s
% 0.18/1.71 % (4027253)Peak memory usage: 91 MB
% 0.18/1.71 % (4027253)Instructions burned: 257 (million)
% 0.18/1.71 % (4027251)------------------------------
% 0.18/1.71 % (4027251)------------------------------
% 0.18/1.71 % (4027254)------------------------------
% 0.18/1.71 % (4027254)------------------------------
% 0.18/1.71 % (4027262)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4151824407:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 0.18/1.71 % (4027263)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=627723893:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 0.18/1.71 % (4027248)Refutation not found, incomplete strategy
% 0.18/1.71 % (4027248)------------------------------
% 0.18/1.71 % (4027248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027248)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027248)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.71 % (4027248)Time elapsed: 0.367 s
% 0.18/1.71 % (4027248)Peak memory usage: 127 MB
% 0.18/1.71 % (4027248)Instructions burned: 898 (million)
% 0.18/1.71 % (4027265)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=86160380: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)
% 0.18/1.71 % (4027264)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=427808031:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 0.18/1.71 % (4027265)First to succeed.
% 0.18/1.71 % (4027265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4027243"
% 0.18/1.71 % (4027248)------------------------------
% 0.18/1.71 % (4027248)------------------------------
% 0.18/1.71 % (4027264)Instruction limit reached!
% 0.18/1.71 % (4027264)------------------------------
% 0.18/1.71 % (4027264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027264)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027264)Termination reason: Instruction limit
% 0.18/1.71 % (4027264)Termination phase: Saturation
% 0.18/1.71 % (4027264)Time elapsed: 0.098 s
% 0.18/1.71 % (4027264)Peak memory usage: 91 MB
% 0.18/1.71 % (4027264)Instructions burned: 217 (million)
% 0.18/1.71 % (4027250)Also succeeded, but the first one will report.
% 0.18/1.71 % (4027249)Also succeeded, but the first one will report.
% 0.18/1.71 % (4027270)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=1515678705:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 0.18/1.71 % SZS status Satisfiable for theBenchmark
% 0.18/1.71 % SZS output start Saturation.
% See solution above
% 0.18/1.71 % SZS output start Definitions and Model Updates.
% 0.18/1.71 % SZS output end Definitions and Model Updates.
% 0.18/1.71 % (4027265)------------------------------
% 0.18/1.71 % (4027265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (4027265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (4027265)CaDiCaL version: 2.1.3
% 0.18/1.71 % (4027265)Termination reason: Satisfiable
% 0.18/1.71 % (4027265)Time elapsed: 0.003 s
% 0.18/1.71 % (4027265)Peak memory usage: 88 MB
% 0.18/1.71 % (4027265)Instructions burned: 2 (million)
% 0.18/1.71 % (4027265)------------------------------
% 0.18/1.71 % (4027265)------------------------------
% 0.18/1.71 % (4027243)Success in time 0.842 s
% 0.18/1.71 % Vampire exiting
%------------------------------------------------------------------------------