%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO008-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:35:50 AM UTC 2026
% Result : Satisfiable 77.76s 11.77s
% Output : Saturation 77.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u50,negated_conjecture,
true = sF2 ).
cnf(ifeq_axiom,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(u71694,negated_conjecture,
true = sum(X1,X2,X0) ).
cnf(u53,negated_conjecture,
true = sF3 ).
cnf(u47,negated_conjecture,
true = sF1 ).
cnf(u49005,negated_conjecture,
true = product(X0,X1,X2) ).
cnf(u44,negated_conjecture,
true = sF0 ).
cnf(prove_equality,negated_conjecture,
x__plus_y_plus_z != x_plus_y__plus_z ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO008-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:04:10 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 77.12/11.58 % (2647600)Detected a unit-equality problem, will run specialized UEQ schedule.
% 77.12/11.58 % (2647605)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=796980638:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 77.12/11.58 % (2647607)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1453774367:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 77.12/11.58 % (2647611)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4072028498:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 77.12/11.58 % (2647606)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=1675992378:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 77.12/11.58 % (2647609)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1094970818:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 77.12/11.58 % (2647610)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2829821238:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 77.12/11.58 % (2647608)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3418386976:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 77.12/11.58 % (2647608)Instruction limit reached!
% 77.12/11.58 % (2647608)------------------------------
% 77.12/11.58 % (2647608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.12/11.58 % (2647608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.12/11.58 % (2647608)CaDiCaL version: 2.1.3
% 77.12/11.58 % (2647608)Termination reason: Instruction limit
% 77.12/11.58 % (2647608)Termination phase: Saturation
% 77.12/11.58 % (2647608)Time elapsed: 0.073 s
% 77.12/11.58 % (2647608)Peak memory usage: 89 MB
% 77.12/11.58 % (2647608)Instructions burned: 137 (million)
% 77.12/11.58 % (2647609)Instruction limit reached!
% 77.12/11.58 % (2647609)------------------------------
% 77.12/11.58 % (2647609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.12/11.58 % (2647609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.12/11.58 % (2647609)CaDiCaL version: 2.1.3
% 77.12/11.58 % (2647609)Termination reason: Instruction limit
% 77.12/11.58 % (2647609)Termination phase: Saturation
% 77.12/11.58 % (2647609)Time elapsed: 0.103 s
% 77.12/11.58 % (2647609)Peak memory usage: 89 MB
% 77.12/11.58 % (2647609)Instructions burned: 181 (million)
% 77.12/11.58 % (2647610)Instruction limit reached!
% 77.12/11.58 % (2647610)------------------------------
% 77.12/11.58 % (2647610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.12/11.58 % (2647610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.12/11.58 % (2647610)CaDiCaL version: 2.1.3
% 77.12/11.58 % (2647610)Termination reason: Instruction limit
% 77.12/11.58 % (2647610)Termination phase: Saturation
% 77.12/11.58 % (2647610)Time elapsed: 0.147 s
% 77.12/11.58 % (2647610)Peak memory usage: 91 MB
% 77.12/11.58 % (2647610)Instructions burned: 259 (million)
% 77.12/11.58 % (2647619)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2032399444:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 77.12/11.58 % (2647620)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=305609209:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 77.12/11.58 % (2647621)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1555501998:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 77.12/11.58 % (2647621)Instruction limit reached!
% 77.12/11.58 % (2647621)------------------------------
% 77.12/11.58 % (2647621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.12/11.58 % (2647621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.12/11.58 % (2647621)CaDiCaL version: 2.1.3
% 77.12/11.58 % (2647621)Termination reason: Instruction limit
% 77.12/11.58 % (2647621)Termination phase: Saturation
% 77.12/11.58 % (2647621)Time elapsed: 0.104 s
% 77.76/11.77 % (2647621)Peak memory usage: 91 MB
% 77.76/11.77 % (2647621)Instructions burned: 216 (million)
% 77.76/11.77 % (2647625)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=2633438329: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)
% 77.76/11.77 % (2647611)Instruction limit reached!
% 77.76/11.77 % (2647611)------------------------------
% 77.76/11.77 % (2647611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647611)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647611)Termination reason: Instruction limit
% 77.76/11.77 % (2647611)Termination phase: Saturation
% 77.76/11.77 % (2647611)Time elapsed: 0.605 s
% 77.76/11.77 % (2647611)Peak memory usage: 101 MB
% 77.76/11.77 % (2647611)Instructions burned: 1188 (million)
% 77.76/11.77 % (2647625)Instruction limit reached!
% 77.76/11.77 % (2647625)------------------------------
% 77.76/11.77 % (2647625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647625)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647625)Termination reason: Instruction limit
% 77.76/11.77 % (2647625)Termination phase: Saturation
% 77.76/11.77 % (2647625)Time elapsed: 0.184 s
% 77.76/11.77 % (2647625)Peak memory usage: 94 MB
% 77.76/11.77 % (2647625)Instructions burned: 317 (million)
% 77.76/11.77 % (2647629)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=2957767729:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 77.76/11.77 % (2647630)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3036084709:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 77.76/11.77 % (2647619)Instruction limit reached!
% 77.76/11.77 % (2647619)------------------------------
% 77.76/11.77 % (2647619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647619)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647619)Termination reason: Instruction limit
% 77.76/11.77 % (2647619)Termination phase: Saturation
% 77.76/11.77 % (2647619)Time elapsed: 1.236 s
% 77.76/11.77 % (2647619)Peak memory usage: 141 MB
% 77.76/11.77 % (2647619)Instructions burned: 2051 (million)
% 77.76/11.77 % (2647633)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3297131720:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 77.76/11.77 % (2647630)Instruction limit reached!
% 77.76/11.77 % (2647630)------------------------------
% 77.76/11.77 % (2647630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647630)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647630)Termination reason: Instruction limit
% 77.76/11.77 % (2647630)Termination phase: Saturation
% 77.76/11.77 % (2647630)Time elapsed: 1.693 s
% 77.76/11.77 % (2647630)Peak memory usage: 134 MB
% 77.76/11.77 % (2647630)Instructions burned: 2837 (million)
% 77.76/11.77 % (2647635)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=279170898:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/11832Mi)
% 77.76/11.77 % (2647620)Instruction limit reached!
% 77.76/11.77 % (2647620)------------------------------
% 77.76/11.77 % (2647620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647620)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647620)Termination reason: Instruction limit
% 77.76/11.77 % (2647620)Termination phase: Saturation
% 77.76/11.77 % (2647620)Time elapsed: 2.756 s
% 77.76/11.77 % (2647620)Peak memory usage: 169 MB
% 77.76/11.77 % (2647620)Instructions burned: 4949 (million)
% 77.76/11.77 % (2647637)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3584743453:i=2279:fgj=on:bd=all_2968 on theBenchmark for (2968ds/2279Mi)
% 77.76/11.77 % (2647637)Instruction limit reached!
% 77.76/11.77 % (2647637)------------------------------
% 77.76/11.77 % (2647637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647637)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647637)Termination reason: Instruction limit
% 77.76/11.77 % (2647637)Termination phase: Saturation
% 77.76/11.77 % (2647637)Time elapsed: 1.371 s
% 77.76/11.77 % (2647637)Peak memory usage: 142 MB
% 77.76/11.77 % (2647637)Instructions burned: 2280 (million)
% 77.76/11.77 % (2647639)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1832829547:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2953 on theBenchmark for (2953ds/6225Mi)
% 77.76/11.77 % (2647629)Instruction limit reached!
% 77.76/11.77 % (2647629)------------------------------
% 77.76/11.77 % (2647629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647629)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647629)Termination reason: Instruction limit
% 77.76/11.77 % (2647629)Termination phase: Saturation
% 77.76/11.77 % (2647629)Time elapsed: 6.638 s
% 77.76/11.77 % (2647629)Peak memory usage: 245 MB
% 77.76/11.77 % (2647629)Instructions burned: 12127 (million)
% 77.76/11.77 % (2647641)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1072788479:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2924 on theBenchmark for (2924ds/21755Mi)
% 77.76/11.77 % (2647639)Instruction limit reached!
% 77.76/11.77 % (2647639)------------------------------
% 77.76/11.77 % (2647639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647639)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647639)Termination reason: Instruction limit
% 77.76/11.77 % (2647639)Termination phase: Saturation
% 77.76/11.77 % (2647639)Time elapsed: 3.474 s
% 77.76/11.77 % (2647639)Peak memory usage: 177 MB
% 77.76/11.77 % (2647639)Instructions burned: 6226 (million)
% 77.76/11.77 % (2647643)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=4098095395:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2917 on theBenchmark for (2917ds/16427Mi)
% 77.76/11.77 % (2647635)Instruction limit reached!
% 77.76/11.77 % (2647635)------------------------------
% 77.76/11.77 % (2647635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647635)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647635)Termination reason: Instruction limit
% 77.76/11.77 % (2647635)Termination phase: Saturation
% 77.76/11.77 % (2647635)Time elapsed: 6.945 s
% 77.76/11.77 % (2647635)Peak memory usage: 233 MB
% 77.76/11.77 % (2647635)Instructions burned: 11833 (million)
% 77.76/11.77 % (2647645)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=3731692851:i=9356:fgj=on:bd=preordered:av=off_2902 on theBenchmark for (2902ds/9356Mi)
% 77.76/11.77 % (2647633)Instruction limit reached!
% 77.76/11.77 % (2647633)------------------------------
% 77.76/11.77 % (2647633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647633)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647633)Termination reason: Instruction limit
% 77.76/11.77 % (2647633)Termination phase: Saturation
% 77.76/11.77 % (2647633)Time elapsed: 8.310 s
% 77.76/11.77 % (2647633)Peak memory usage: 260 MB
% 77.76/11.77 % (2647633)Instructions burned: 14536 (million)
% 77.76/11.77 % (2647647)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=2433863295:i=2070:kws=inv_precedence:slsql=off:bd=all_2899 on theBenchmark for (2899ds/2070Mi)
% 77.76/11.77 % (2647607)First to succeed.
% 77.76/11.77 % (2647607)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2647600"
% 77.76/11.77 % SZS status Satisfiable for theBenchmark
% 77.76/11.77 % SZS output start Saturation.
% See solution above
% 77.76/11.77 % SZS output start Definitions and Model Updates.
% 77.76/11.77 % SZS output end Definitions and Model Updates.
% 77.76/11.77 % (2647607)------------------------------
% 77.76/11.77 % (2647607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.76/11.77 % (2647607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.76/11.77 % (2647607)CaDiCaL version: 2.1.3
% 77.76/11.77 % (2647607)Termination reason: Satisfiable
% 77.76/11.77 % (2647607)Time elapsed: 10.445 s
% 77.76/11.77 % (2647607)Peak memory usage: 280 MB
% 77.76/11.77 % (2647607)Instructions burned: 18211 (million)
% 77.76/11.77 % (2647607)------------------------------
% 77.76/11.77 % (2647607)------------------------------
% 77.76/11.77 % (2647600)Success in time 10.9 s
% 77.76/11.77 % Vampire exiting
%------------------------------------------------------------------------------