%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN305-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:50:08 PM UTC 2026
% Result : Satisfiable 6.22s 1.74s
% Output : Saturation 6.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause3,negated_conjecture,
g1(X0) != g2(X0) ).
cnf(u6,negated_conjecture,
sF0(X0) = X0 ).
cnf(u10,negated_conjecture,
f(g1(X0)) = X0 ).
cnf(u9,negated_conjecture,
sF1(X0) = X0 ).
cnf(u11,negated_conjecture,
f(g2(X0)) = X0 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN305-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n010.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 15:41:18 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.29 Running first-order theorem proving
% 0.12/0.29 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
% 6.22/1.74 % (2025151)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.22/1.74 % (2025187)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1343711531:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 6.22/1.74 % (2025187)Refutation not found, incomplete strategy
% 6.22/1.74 % (2025187)------------------------------
% 6.22/1.74 % (2025187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025187)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025187)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.74 % (2025187)Time elapsed: 0.001 s
% 6.22/1.74 % (2025187)Peak memory usage: 87 MB
% 6.22/1.74 % (2025189)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2533947500:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 6.22/1.74 % (2025181)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=3146552765:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 6.22/1.74 % (2025190)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3192415870:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 6.22/1.74 % (2025184)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3573537405:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 6.22/1.74 % (2025183)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=1879828607:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 6.22/1.74 % (2025190)Refutation not found, incomplete strategy
% 6.22/1.74 % (2025190)------------------------------
% 6.22/1.74 % (2025190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025190)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025190)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.74 % (2025190)Time elapsed: 0.001 s
% 6.22/1.74 % (2025190)Peak memory usage: 87 MB
% 6.22/1.74 % (2025189)Refutation not found, incomplete strategy
% 6.22/1.74 % (2025189)------------------------------
% 6.22/1.74 % (2025189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025189)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025189)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.74 % (2025189)Time elapsed: 0.001 s
% 6.22/1.74 % (2025189)Peak memory usage: 87 MB
% 6.22/1.74 % (2025186)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=251105375:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 6.22/1.74 % (2025186)Refutation not found, incomplete strategy
% 6.22/1.74 % (2025186)------------------------------
% 6.22/1.74 % (2025186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025186)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025186)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.74 % (2025186)Time elapsed: 0.001 s
% 6.22/1.74 % (2025186)Peak memory usage: 87 MB
% 6.22/1.74 % (2025187)------------------------------
% 6.22/1.74 % (2025187)------------------------------
% 6.22/1.74 % (2025265)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=847769486:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.22/1.74 % (2025190)------------------------------
% 6.22/1.74 % (2025190)------------------------------
% 6.22/1.74 % (2025186)------------------------------
% 6.22/1.74 % (2025186)------------------------------
% 6.22/1.74 % (2025189)------------------------------
% 6.22/1.74 % (2025189)------------------------------
% 6.22/1.74 % (2025278)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1826978193:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 6.22/1.74 % (2025280)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=666067023:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2996 on theBenchmark for (2996ds/317Mi)
% 6.22/1.74 % (2025280)First to succeed.
% 6.22/1.74 % (2025280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2025151"
% 6.22/1.74 % (2025279)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3047853438:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.22/1.74 % (2025279)Instruction limit reached!
% 6.22/1.74 % (2025279)------------------------------
% 6.22/1.74 % (2025279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025279)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025279)Termination reason: Instruction limit
% 6.22/1.74 % (2025279)Termination phase: Saturation
% 6.22/1.74 % (2025279)Time elapsed: 0.113 s
% 6.22/1.74 % (2025279)Peak memory usage: 91 MB
% 6.22/1.74 % (2025279)Instructions burned: 217 (million)
% 6.22/1.74 % (2025265)Refutation not found, incomplete strategy
% 6.22/1.74 % (2025265)------------------------------
% 6.22/1.74 % (2025265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025265)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025265)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.74 % (2025265)Time elapsed: 0.316 s
% 6.22/1.74 % (2025265)Peak memory usage: 127 MB
% 6.22/1.74 % (2025265)Instructions burned: 856 (million)
% 6.22/1.74 % (2025184)Also succeeded, but the first one will report.
% 6.22/1.74 % (2025183)Also succeeded, but the first one will report.
% 6.22/1.74 % (2025181)Refutation not found, incomplete strategy
% 6.22/1.74 % (2025181)------------------------------
% 6.22/1.74 % (2025181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025181)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025181)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.74 % (2025181)Time elapsed: 0.570 s
% 6.22/1.74 % (2025181)Peak memory usage: 127 MB
% 6.22/1.74 % (2025181)Instructions burned: 854 (million)
% 6.22/1.74 % (2025331)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=1367092969:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 6.22/1.74 % SZS status Satisfiable for theBenchmark
% 6.22/1.74 % SZS output start Saturation.
% See solution above
% 6.22/1.74 % SZS output start Definitions and Model Updates.
% 6.22/1.74 % SZS output end Definitions and Model Updates.
% 6.22/1.74 % (2025280)------------------------------
% 6.22/1.74 % (2025280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.74 % (2025280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.74 % (2025280)CaDiCaL version: 2.1.3
% 6.22/1.74 % (2025280)Termination reason: Satisfiable
% 6.22/1.74 % (2025280)Time elapsed: 0.001 s
% 6.22/1.74 % (2025280)Peak memory usage: 88 MB
% 6.22/1.74 % (2025280)------------------------------
% 6.22/1.74 % (2025280)------------------------------
% 6.22/1.74 % (2025151)Success in time 0.768 s
% 6.22/1.74 % Vampire exiting
%------------------------------------------------------------------------------