%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW588_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 01:40:29 PM UTC 2026
% Result : Theorem 25.35s 3.92s
% Output : Refutation 25.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW588_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.28 % Computer : n018.cluster.edu
% 0.22/0.28 % Model : x86_64 x86_64
% 0.22/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.28 % Memory : 8046.5625MB
% 0.22/0.28 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 14:22:10 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.31 Running first-order model finding
% 0.22/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.06/1.33 % (3418555)Will run a generic schedule for satisfiability detection.
% 7.06/1.33 % (3418565)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3767316949:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.06/1.33 % (3418561)% WARNING: option uhcvi not known.
% 7.06/1.33 % (3418560)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4254140524_2999 on theBenchmark for (2999ds/0Mi)
% 7.06/1.33 % (3418562)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3566945537:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.06/1.33 % (3418563)dis+10_1_sil=32000:sp=arity:random_seed=3459755542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.06/1.33 % (3418561)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=689445259:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.06/1.33 % (3418564)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3405242323:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.06/1.33 % (3418566)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1657923831:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.06/1.33 % (3418560)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.06/1.33 % (3418560)Terminated due to inappropriate strategy.
% 7.06/1.33 % (3418560)------------------------------
% 7.06/1.33 % (3418560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.33 % (3418560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.33 % (3418560)CaDiCaL version: 2.1.3
% 7.06/1.33 % (3418560)Termination reason: Inappropriate
% 7.06/1.33 % (3418560)Time elapsed: 0.003 s
% 7.06/1.33 % (3418560)Peak memory usage: 10 MB
% 7.06/1.33 % (3418560)Instructions burned: 2 (million)
% 7.06/1.33 % (3418560)------------------------------
% 7.06/1.33 % (3418560)------------------------------
% 7.06/1.33 % (3418574)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3953084631:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.06/1.33 % (3418574)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.06/1.33 % (3418574)Terminated due to inappropriate strategy.
% 7.06/1.33 % (3418574)------------------------------
% 7.06/1.33 % (3418574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.33 % (3418574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.33 % (3418574)CaDiCaL version: 2.1.3
% 7.06/1.33 % (3418574)Termination reason: Inappropriate
% 7.06/1.33 % (3418574)Time elapsed: 0.002 s
% 7.06/1.33 % (3418574)Peak memory usage: 11 MB
% 7.06/1.33 % (3418574)Instructions burned: 1 (million)
% 7.06/1.33 % (3418574)------------------------------
% 7.06/1.33 % (3418574)------------------------------
% 7.06/1.33 % (3418565)Instruction limit reached!
% 7.06/1.33 % (3418565)------------------------------
% 7.06/1.33 % (3418565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.33 % (3418565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.33 % (3418565)CaDiCaL version: 2.1.3
% 7.06/1.33 % (3418565)Termination reason: Instruction limit
% 7.06/1.33 % (3418565)Termination phase: Saturation
% 7.06/1.33 % (3418565)Time elapsed: 0.072 s
% 7.06/1.33 % (3418565)Peak memory usage: 13 MB
% 7.06/1.33 % (3418565)Instructions burned: 132 (million)
% 7.06/1.33 % (3418576)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4129007230:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.06/1.33 % (3418577)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1417838287:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.06/1.33 % (3418563)Instruction limit reached!
% 7.06/1.33 % (3418563)------------------------------
% 7.06/1.33 % (3418563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.33 % (3418563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.33 % (3418563)CaDiCaL version: 2.1.3
% 7.06/1.33 % (3418563)Termination reason: Instruction limit
% 7.06/1.33 % (3418563)Termination phase: Saturation
% 7.06/1.33 % (3418563)Time elapsed: 0.107 s
% 7.06/1.33 % (3418563)Peak memory usage: 13 MB
% 7.06/1.33 % (3418563)Instructions burned: 103 (million)
% 7.06/1.33 % (3418564)Instruction limit reached!
% 7.06/1.33 % (3418564)------------------------------
% 7.06/1.33 % (3418564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.98/1.84 % (3418564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/1.84 % (3418564)CaDiCaL version: 2.1.3
% 9.98/1.84 % (3418564)Termination reason: Instruction limit
% 9.98/1.84 % (3418564)Termination phase: Saturation
% 9.98/1.84 % (3418564)Time elapsed: 0.121 s
% 9.98/1.84 % (3418564)Peak memory usage: 13 MB
% 9.98/1.84 % (3418564)Instructions burned: 116 (million)
% 9.98/1.84 % (3418581)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3983975057:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.98/1.84 % (3418580)ott-21_1_sil=16000:fs=off:random_seed=804644539:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.98/1.84 % (3418576)Instruction limit reached!
% 9.98/1.84 % (3418576)------------------------------
% 9.98/1.84 % (3418576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.98/1.84 % (3418576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/1.84 % (3418576)CaDiCaL version: 2.1.3
% 9.98/1.84 % (3418576)Termination reason: Instruction limit
% 9.98/1.84 % (3418576)Termination phase: Saturation
% 9.98/1.84 % (3418576)Time elapsed: 0.085 s
% 9.98/1.84 % (3418576)Peak memory usage: 13 MB
% 9.98/1.84 % (3418576)Instructions burned: 132 (million)
% 9.98/1.84 % (3418566)Instruction limit reached!
% 9.98/1.84 % (3418566)------------------------------
% 9.98/1.84 % (3418566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.98/1.84 % (3418566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/1.84 % (3418566)CaDiCaL version: 2.1.3
% 9.98/1.84 % (3418566)Termination reason: Instruction limit
% 9.98/1.84 % (3418566)Termination phase: Saturation
% 9.98/1.84 % (3418566)Time elapsed: 0.180 s
% 9.98/1.84 % (3418566)Peak memory usage: 13 MB
% 9.98/1.84 % (3418566)Instructions burned: 159 (million)
% 9.98/1.84 % (3418584)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=879615914:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 9.98/1.84 % (3418584)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.98/1.84 % (3418584)Terminated due to inappropriate strategy.
% 9.98/1.84 % (3418584)------------------------------
% 9.98/1.84 % (3418584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.98/1.84 % (3418584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/1.84 % (3418584)CaDiCaL version: 2.1.3
% 9.98/1.84 % (3418584)Termination reason: Inappropriate
% 9.98/1.84 % (3418584)Time elapsed: 0.002 s
% 9.98/1.84 % (3418584)Peak memory usage: 10 MB
% 9.98/1.84 % (3418584)Instructions burned: 1 (million)
% 9.98/1.84 % (3418584)------------------------------
% 9.98/1.84 % (3418584)------------------------------
% 9.98/1.84 % (3418585)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3347125739:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 9.98/1.84 % (3418587)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3738057047:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 9.98/1.84 % (3418587)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.98/1.84 % (3418587)Terminated due to inappropriate strategy.
% 9.98/1.84 % (3418587)------------------------------
% 9.98/1.84 % (3418587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.98/1.84 % (3418587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/1.84 % (3418587)CaDiCaL version: 2.1.3
% 9.98/1.84 % (3418587)Termination reason: Inappropriate
% 9.98/1.84 % (3418587)Time elapsed: 0.002 s
% 9.98/1.84 % (3418587)Peak memory usage: 10 MB
% 9.98/1.84 % (3418587)Instructions burned: 1 (million)
% 9.98/1.84 % (3418587)------------------------------
% 9.98/1.84 % (3418587)------------------------------
% 9.98/1.84 % (3418590)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3326044101:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 9.98/1.84 % (3418580)Instruction limit reached!
% 9.98/1.84 % (3418580)------------------------------
% 9.98/1.84 % (3418580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.98/1.84 % (3418580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.98/1.84 % (3418580)CaDiCaL version: 2.1.3
% 9.98/1.84 % (3418580)Termination reason: Instruction limit
% 9.98/1.84 % (3418580)Termination phase: Saturation
% 25.35/3.92 % (3418580)Time elapsed: 0.157 s
% 25.35/3.92 % (3418580)Peak memory usage: 12 MB
% 25.35/3.92 % (3418580)Instructions burned: 181 (million)
% 25.35/3.92 % (3418592)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=231168372:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 25.35/3.92 % (3418581)Instruction limit reached!
% 25.35/3.92 % (3418581)------------------------------
% 25.35/3.92 % (3418581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418581)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418581)Termination reason: Instruction limit
% 25.35/3.92 % (3418581)Termination phase: Saturation
% 25.35/3.92 % (3418581)Time elapsed: 0.288 s
% 25.35/3.92 % (3418581)Peak memory usage: 14 MB
% 25.35/3.92 % (3418581)Instructions burned: 478 (million)
% 25.35/3.92 % (3418594)fmb+10_1_sil=64000:random_seed=3416502554:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 25.35/3.92 % (3418594)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418594)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418594)------------------------------
% 25.35/3.92 % (3418594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418594)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418594)Termination reason: Inappropriate
% 25.35/3.92 % (3418594)Time elapsed: 0.002 s
% 25.35/3.92 % (3418594)Peak memory usage: 10 MB
% 25.35/3.92 % (3418594)Instructions burned: 1 (million)
% 25.35/3.92 % (3418594)------------------------------
% 25.35/3.92 % (3418594)------------------------------
% 25.35/3.92 % (3418596)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3316170813:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 25.35/3.92 % (3418596)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418596)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418596)------------------------------
% 25.35/3.92 % (3418596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418596)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418596)Termination reason: Inappropriate
% 25.35/3.92 % (3418596)Time elapsed: 0.001 s
% 25.35/3.92 % (3418596)Peak memory usage: 10 MB
% 25.35/3.92 % (3418596)Instructions burned: 1 (million)
% 25.35/3.92 % (3418596)------------------------------
% 25.35/3.92 % (3418596)------------------------------
% 25.35/3.92 % (3418598)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1364486516:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 25.35/3.92 % (3418598)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418598)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418598)------------------------------
% 25.35/3.92 % (3418598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418598)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418598)Termination reason: Inappropriate
% 25.35/3.92 % (3418598)Time elapsed: 0.002 s
% 25.35/3.92 % (3418598)Peak memory usage: 11 MB
% 25.35/3.92 % (3418598)Instructions burned: 1 (million)
% 25.35/3.92 % (3418598)------------------------------
% 25.35/3.92 % (3418598)------------------------------
% 25.35/3.92 % (3418600)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3627890088:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 25.35/3.92 % (3418577)Instruction limit reached!
% 25.35/3.92 % (3418577)------------------------------
% 25.35/3.92 % (3418577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418577)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418577)Termination reason: Instruction limit
% 25.35/3.92 % (3418577)Termination phase: Saturation
% 25.35/3.92 % (3418577)Time elapsed: 0.534 s
% 25.35/3.92 % (3418577)Peak memory usage: 15 MB
% 25.35/3.92 % (3418577)Instructions burned: 685 (million)
% 25.35/3.92 % (3418602)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1868336246:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 25.35/3.92 % (3418590)Instruction limit reached!
% 25.35/3.92 % (3418590)------------------------------
% 25.35/3.92 % (3418590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418590)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418590)Termination reason: Instruction limit
% 25.35/3.92 % (3418590)Termination phase: Saturation
% 25.35/3.92 % (3418590)Time elapsed: 0.722 s
% 25.35/3.92 % (3418590)Peak memory usage: 19 MB
% 25.35/3.92 % (3418590)Instructions burned: 692 (million)
% 25.35/3.92 % (3418604)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3181920946:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 25.35/3.92 % (3418604)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418604)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418604)------------------------------
% 25.35/3.92 % (3418604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418604)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418604)Termination reason: Inappropriate
% 25.35/3.92 % (3418604)Time elapsed: 0.002 s
% 25.35/3.92 % (3418604)Peak memory usage: 11 MB
% 25.35/3.92 % (3418604)Instructions burned: 2 (million)
% 25.35/3.92 % (3418604)------------------------------
% 25.35/3.92 % (3418604)------------------------------
% 25.35/3.92 % (3418606)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3916847583:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 25.35/3.92 % (3418606)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418606)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418606)------------------------------
% 25.35/3.92 % (3418606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418606)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418606)Termination reason: Inappropriate
% 25.35/3.92 % (3418606)Time elapsed: 0.001 s
% 25.35/3.92 % (3418606)Peak memory usage: 11 MB
% 25.35/3.92 % (3418606)Instructions burned: 1 (million)
% 25.35/3.92 % (3418606)------------------------------
% 25.35/3.92 % (3418606)------------------------------
% 25.35/3.92 % (3418608)ott-2_1_sil=16000:newcnf=on:random_seed=858125392:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 25.35/3.92 % (3418592)Instruction limit reached!
% 25.35/3.92 % (3418592)------------------------------
% 25.35/3.92 % (3418592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418592)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418592)Termination reason: Instruction limit
% 25.35/3.92 % (3418592)Termination phase: Saturation
% 25.35/3.92 % (3418592)Time elapsed: 0.856 s
% 25.35/3.92 % (3418592)Peak memory usage: 20 MB
% 25.35/3.92 % (3418592)Instructions burned: 879 (million)
% 25.35/3.92 % (3418610)ott+10_1_sil=32000:tgt=ground:random_seed=414231099:i=5114:av=off_2987 on theBenchmark for (2987ds/5114Mi)
% 25.35/3.92 % (3418602)Instruction limit reached!
% 25.35/3.92 % (3418602)------------------------------
% 25.35/3.92 % (3418602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418602)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418602)Termination reason: Instruction limit
% 25.35/3.92 % (3418602)Termination phase: Saturation
% 25.35/3.92 % (3418602)Time elapsed: 0.794 s
% 25.35/3.92 % (3418602)Peak memory usage: 30 MB
% 25.35/3.92 % (3418602)Instructions burned: 1473 (million)
% 25.35/3.92 % (3418585)Instruction limit reached!
% 25.35/3.92 % (3418585)------------------------------
% 25.35/3.92 % (3418585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418585)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418585)Termination reason: Instruction limit
% 25.35/3.92 % (3418585)Termination phase: Saturation
% 25.35/3.92 % (3418585)Time elapsed: 1.246 s
% 25.35/3.92 % (3418585)Peak memory usage: 20 MB
% 25.35/3.92 % (3418585)Instructions burned: 1179 (million)
% 25.35/3.92 % (3418612)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=185691410:i=54282_2985 on theBenchmark for (2985ds/54282Mi)
% 25.35/3.92 % (3418612)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418612)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418612)------------------------------
% 25.35/3.92 % (3418612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418612)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418612)Termination reason: Inappropriate
% 25.35/3.92 % (3418612)Time elapsed: 0.002 s
% 25.35/3.92 % (3418612)Peak memory usage: 11 MB
% 25.35/3.92 % (3418612)Instructions burned: 2 (million)
% 25.35/3.92 % (3418612)------------------------------
% 25.35/3.92 % (3418612)------------------------------
% 25.35/3.92 % (3418613)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4268544178:i=3512:aac=none_2985 on theBenchmark for (2985ds/3512Mi)
% 25.35/3.92 % (3418615)dis+21_1_sil=32000:sas=cadical:random_seed=2462336425:i=3773:amm=off_2984 on theBenchmark for (2984ds/3773Mi)
% 25.35/3.92 % (3418608)Instruction limit reached!
% 25.35/3.92 % (3418608)------------------------------
% 25.35/3.92 % (3418608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418608)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418608)Termination reason: Instruction limit
% 25.35/3.92 % (3418608)Termination phase: Saturation
% 25.35/3.92 % (3418608)Time elapsed: 0.899 s
% 25.35/3.92 % (3418608)Peak memory usage: 17 MB
% 25.35/3.92 % (3418608)Instructions burned: 869 (million)
% 25.35/3.92 % (3418618)ott+11_1_sil=16000:gs=on:random_seed=547268689:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2980 on theBenchmark for (2980ds/2251Mi)
% 25.35/3.92 % (3418613)Instruction limit reached!
% 25.35/3.92 % (3418613)------------------------------
% 25.35/3.92 % (3418613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418613)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418613)Termination reason: Instruction limit
% 25.35/3.92 % (3418613)Termination phase: Saturation
% 25.35/3.92 % (3418613)Time elapsed: 1.810 s
% 25.35/3.92 % (3418613)Peak memory usage: 32 MB
% 25.35/3.92 % (3418613)Instructions burned: 3514 (million)
% 25.35/3.92 % (3418624)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3872470509:fmbsr=1.6:i=67534_2966 on theBenchmark for (2966ds/67534Mi)
% 25.35/3.92 % (3418624)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 25.35/3.92 % (3418624)Terminated due to inappropriate strategy.
% 25.35/3.92 % (3418624)------------------------------
% 25.35/3.92 % (3418624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418624)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418624)Termination reason: Inappropriate
% 25.35/3.92 % (3418624)Time elapsed: 0.002 s
% 25.35/3.92 % (3418624)Peak memory usage: 11 MB
% 25.35/3.92 % (3418624)Instructions burned: 1 (million)
% 25.35/3.92 % (3418624)------------------------------
% 25.35/3.92 % (3418624)------------------------------
% 25.35/3.92 % (3418626)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3273019250:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2966 on theBenchmark for (2966ds/4591Mi)
% 25.35/3.92 % (3418615) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3418555-3418615"...
% 25.35/3.92 % (3418615)...printing done.
% 25.35/3.92 % (3418615)Refutation found. Thanks to Tanya!
% 25.35/3.92 % SZS status Theorem for theBenchmark
% 25.35/3.92 % SZS output start Proof for theBenchmark
% 25.35/3.92 tff(type_def_5, type, uni: $tType).
% 25.35/3.92 tff(type_def_6, type, ty: $tType).
% 25.35/3.92 tff(type_def_7, type, bool1: $tType).
% 25.35/3.92 tff(type_def_8, type, tuple02: $tType).
% 25.35/3.92 tff(func_def_0, type, witness1: ty > uni).
% 25.35/3.92 tff(func_def_1, type, int: ty).
% 25.35/3.92 tff(func_def_2, type, real: ty).
% 25.35/3.92 tff(func_def_3, type, bool: ty).
% 25.35/3.92 tff(func_def_4, type, true1: bool1).
% 25.35/3.92 tff(func_def_5, type, false1: bool1).
% 25.35/3.92 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
% 25.35/3.92 tff(func_def_7, type, tuple0: ty).
% 25.35/3.92 tff(func_def_8, type, tuple03: tuple02).
% 25.35/3.92 tff(func_def_9, type, qtmark: ty).
% 25.35/3.92 tff(func_def_12, type, ref: ty > ty).
% 25.35/3.92 tff(func_def_13, type, mk_ref: (ty * uni) > uni).
% 25.35/3.92 tff(func_def_14, type, contents: (ty * uni) > uni).
% 25.35/3.92 tff(func_def_19, type, sK1: ($int * $int * $int * $int) > $int).
% 25.35/3.92 tff(func_def_20, type, sK2: ($int * $int * $int * $int) > $int).
% 25.35/3.92 tff(func_def_21, type, sK3: $int).
% 25.35/3.92 tff(func_def_22, type, sK4: $int).
% 25.35/3.92 tff(func_def_23, type, sK5: $int).
% 25.35/3.92 tff(func_def_24, type, sK6: $int).
% 25.35/3.92 tff(pred_def_1, type, sort1: (ty * uni) > $o).
% 25.35/3.92 tff(pred_def_4, type, sP0: ($int * $int * $int * $int) > $o).
% 25.35/3.92 tff(f13,conjecture,(
% 25.35/3.92 ! [X0 : $int,X1 : $int] : (($lesseq(0,X0) & $less(0,X1)) => ($sum($product(0,X1),X0) = X0 & $lesseq(0,X0) & ! [X2 : $int,X3 : $int] : (($sum($product(X3,X1),X2) = X0 & $lesseq(0,X2)) => (($lesseq(X1,X2) => ! [X4 : $int] : (X4 = $sum(X3,1) => ! [X5 : $int] : (X5 = $difference(X2,X1) => ($sum($product(X4,X1),X5) = X0 & $lesseq(0,X5) & $lesseq(0,X2) & $less(X5,X2))))) & (~$lesseq(X1,X2) => ? [X5 : $int] : ($sum($product(X3,X1),X5) = X0 & $lesseq(0,X5) & $less(X5,X1)))))))),
% 25.35/3.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_division)).
% 25.35/3.92 tff(f14,negated_conjecture,(
% 25.35/3.92 ~ ! [X0 : $int,X1 : $int] : (($lesseq(0,X0) & $less(0,X1)) => ($sum($product(0,X1),X0) = X0 & $lesseq(0,X0) & ! [X2 : $int,X3 : $int] : (($sum($product(X3,X1),X2) = X0 & $lesseq(0,X2)) => (($lesseq(X1,X2) => ! [X4 : $int] : (X4 = $sum(X3,1) => ! [X5 : $int] : (X5 = $difference(X2,X1) => ($sum($product(X4,X1),X5) = X0 & $lesseq(0,X5) & $lesseq(0,X2) & $less(X5,X2))))) & (~$lesseq(X1,X2) => ? [X5 : $int] : ($sum($product(X3,X1),X5) = X0 & $lesseq(0,X5) & $less(X5,X1)))))))),
% 25.35/3.92 inference(negated_conjecture,[status(cth)],[f13])).
% 25.35/3.92 tff(f16,plain,(
% 25.35/3.92 ~ ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(0,X1)) => ($sum($product(0,X1),X0) = X0 & ~$less(X0,0) & ! [X2 : $int,X3 : $int] : (($sum($product(X3,X1),X2) = X0 & ~$less(X2,0)) => ((~$less(X2,X1) => ! [X4 : $int] : (X4 = $sum(X3,1) => ! [X5 : $int] : ($sum(X2,$uminus(X1)) = X5 => ($sum($product(X4,X1),X5) = X0 & ~$less(X5,0) & ~$less(X2,0) & $less(X5,X2))))) & ($less(X2,X1) => ? [X5 : $int] : ($sum($product(X3,X1),X5) = X0 & ~$less(X5,0) & $less(X5,X1)))))))),
% 25.35/3.92 inference(theory_normalization,[],[f14])).
% 25.35/3.92 tff(f17,definition,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 25.35/3.92 introduced(theory,[tha_commutativity])).
% 25.35/3.92 tff(f18,definition,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 25.35/3.92 introduced(theory,[tha_associativity])).
% 25.35/3.92 tff(f19,definition,(
% 25.35/3.92 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 25.35/3.92 introduced(theory,[tha_right_identity])).
% 25.35/3.92 tff(f21,definition,(
% 25.35/3.92 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 25.35/3.92 introduced(theory,[tha_inverse_op_unit])).
% 25.35/3.92 tff(f23,definition,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 25.35/3.92 introduced(theory,[tha_transitivity])).
% 25.35/3.92 tff(f24,definition,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 25.35/3.92 introduced(theory,[tha_order_totality])).
% 25.35/3.92 tff(f25,definition,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 25.35/3.92 introduced(theory,[tha_order_monotonicity])).
% 25.35/3.92 tff(f27,definition,(
% 25.35/3.92 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 25.35/3.92 introduced(theory,[tha_minus_minus_x])).
% 25.35/3.92 tff(f28,definition,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 25.35/3.92 introduced(theory,[tha_commutativity])).
% 25.35/3.92 tff(f32,definition,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 25.35/3.92 introduced(theory,[tha_distributivity])).
% 25.35/3.92 tff(f35,plain,(
% 25.35/3.92 ~ ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(0,X1)) => ($sum($product(0,X1),X0) = X0 & ~$less(X0,0) & ! [X2 : $int,X3 : $int] : (($sum($product(X3,X1),X2) = X0 & ~$less(X2,0)) => ((~$less(X2,X1) => ! [X4 : $int] : (X4 = $sum(X3,1) => ! [X5 : $int] : ($sum(X2,$uminus(X1)) = X5 => ($sum($product(X4,X1),X5) = X0 & ~$less(X5,0) & ~$less(X2,0) & $less(X5,X2))))) & ($less(X2,X1) => ? [X6 : $int] : ($sum($product(X3,X1),X6) = X0 & ~$less(X6,0) & $less(X6,X1)))))))),
% 25.35/3.92 inference(rectify,[],[f16])).
% 25.35/3.92 tff(f42,plain,(
% 25.35/3.92 ? [X0 : $int,X1 : $int] : (($sum($product(0,X1),X0) != X0 | $less(X0,0) | ? [X2 : $int,X3 : $int] : (((? [X4 : $int] : (? [X5 : $int] : (($sum($product(X4,X1),X5) != X0 | $less(X5,0) | $less(X2,0) | ~$less(X5,X2)) & $sum(X2,$uminus(X1)) = X5) & X4 = $sum(X3,1)) & ~$less(X2,X1)) | (! [X6 : $int] : ($sum($product(X3,X1),X6) != X0 | $less(X6,0) | ~$less(X6,X1)) & $less(X2,X1))) & ($sum($product(X3,X1),X2) = X0 & ~$less(X2,0)))) & (~$less(X0,0) & $less(0,X1)))),
% 25.35/3.92 inference(ennf_transformation,[],[f35])).
% 25.35/3.92 tff(f43,plain,(
% 25.35/3.92 ? [X0 : $int,X1 : $int] : (($sum($product(0,X1),X0) != X0 | $less(X0,0) | ? [X2 : $int,X3 : $int] : (((? [X4 : $int] : (? [X5 : $int] : (($sum($product(X4,X1),X5) != X0 | $less(X5,0) | $less(X2,0) | ~$less(X5,X2)) & $sum(X2,$uminus(X1)) = X5) & X4 = $sum(X3,1)) & ~$less(X2,X1)) | (! [X6 : $int] : ($sum($product(X3,X1),X6) != X0 | $less(X6,0) | ~$less(X6,X1)) & $less(X2,X1))) & $sum($product(X3,X1),X2) = X0 & ~$less(X2,0))) & ~$less(X0,0) & $less(0,X1))),
% 25.35/3.92 inference(flattening,[],[f42])).
% 25.35/3.92 tff(f44,definition,(
% 25.35/3.92 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : ((? [X4 : $int] : (? [X5 : $int] : (($sum($product(X4,X1),X5) != X0 | $less(X5,0) | $less(X2,0) | ~$less(X5,X2)) & $sum(X2,$uminus(X1)) = X5) & X4 = $sum(X3,1)) & ~$less(X2,X1)) | (! [X6 : $int] : ($sum($product(X3,X1),X6) != X0 | $less(X6,0) | ~$less(X6,X1)) & $less(X2,X1)) | ~ sP0(X0,X1,X2,X3))),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction])).
% 25.35/3.92 tff(f45,plain,(
% 25.35/3.92 ? [X0 : $int,X1 : $int] : (($sum($product(0,X1),X0) != X0 | $less(X0,0) | ? [X2 : $int,X3 : $int] : (sP0(X0,X1,X2,X3) & $sum($product(X3,X1),X2) = X0 & ~$less(X2,0))) & ~$less(X0,0) & $less(0,X1))),
% 25.35/3.92 inference(definition_folding,[],[f43,f44])).
% 25.35/3.92 tff(f46,plain,(
% 25.35/3.92 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : ((? [X4 : $int] : (? [X5 : $int] : (($sum($product(X4,X1),X5) != X0 | $less(X5,0) | $less(X2,0) | ~$less(X5,X2)) & $sum(X2,$uminus(X1)) = X5) & X4 = $sum(X3,1)) & ~$less(X2,X1)) | (! [X6 : $int] : ($sum($product(X3,X1),X6) != X0 | $less(X6,0) | ~$less(X6,X1)) & $less(X2,X1)) | ~sP0(X0,X1,X2,X3))),
% 25.35/3.92 inference(nnf_transformation,[],[f44])).
% 25.35/3.92 tff(f47,plain,(
% 25.35/3.92 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : ((((($sum($product(sK1(X0,X1,X2,X3),X1),sK2(X0,X1,X2,X3)) != X0 | $less(sK2(X0,X1,X2,X3),0) | $less(X2,0) | ~$less(sK2(X0,X1,X2,X3),X2)) & $sum(X2,$uminus(X1)) = sK2(X0,X1,X2,X3)) & $sum(X3,1) = sK1(X0,X1,X2,X3)) & ~$less(X2,X1)) | (! [X6 : $int] : ($sum($product(X3,X1),X6) != X0 | $less(X6,0) | ~$less(X6,X1)) & $less(X2,X1)) | ~sP0(X0,X1,X2,X3))),
% 25.35/3.92 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X4,sK1(X0,X1,X2,X3)),skolemize(X5,sK2(X0,X1,X2,X3))],[f46])).
% 25.35/3.92 tff(f48,plain,(
% 25.35/3.92 (sK3 != $sum($product(0,sK4),sK3) | $less(sK3,0) | (sP0(sK3,sK4,sK5,sK6) & sK3 = $sum($product(sK6,sK4),sK5) & ~$less(sK5,0))) & ~$less(sK3,0) & $less(0,sK4)),
% 25.35/3.92 inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f45])).
% 25.35/3.92 tff(f62,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X6 : $int] : (~$less(X2,X1) | $sum($product(X3,X1),X6) != X0 | $less(X6,0) | ~$less(X6,X1) | ~sP0(X0,X1,X2,X3)) )),
% 25.35/3.92 inference(cnf_transformation,[],[f47])).
% 25.35/3.92 tff(f63,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~sP0(X0,X1,X2,X3) | $less(X2,X1) | $sum(X3,1) = sK1(X0,X1,X2,X3)) )),
% 25.35/3.92 inference(cnf_transformation,[],[f47])).
% 25.35/3.92 tff(f65,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~sP0(X0,X1,X2,X3) | $less(X2,X1) | $sum(X2,$uminus(X1)) = sK2(X0,X1,X2,X3)) )),
% 25.35/3.92 inference(cnf_transformation,[],[f47])).
% 25.35/3.92 tff(f67,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($product(sK1(X0,X1,X2,X3),X1),sK2(X0,X1,X2,X3)) != X0 | $less(sK2(X0,X1,X2,X3),0) | $less(X2,0) | ~$less(sK2(X0,X1,X2,X3),X2) | $less(X2,X1) | ~sP0(X0,X1,X2,X3)) )),
% 25.35/3.92 inference(cnf_transformation,[],[f47])).
% 25.35/3.92 tff(f69,plain,(
% 25.35/3.92 $less(0,sK4)),
% 25.35/3.92 inference(cnf_transformation,[],[f48])).
% 25.35/3.92 tff(f70,plain,(
% 25.35/3.92 ~$less(sK3,0)),
% 25.35/3.92 inference(cnf_transformation,[],[f48])).
% 25.35/3.92 tff(f71,plain,(
% 25.35/3.92 sK3 != $sum($product(0,sK4),sK3) | $less(sK3,0) | ~$less(sK5,0)),
% 25.35/3.92 inference(cnf_transformation,[],[f48])).
% 25.35/3.92 tff(f72,plain,(
% 25.35/3.92 sK3 != $sum($product(0,sK4),sK3) | $less(sK3,0) | sK3 = $sum($product(sK6,sK4),sK5)),
% 25.35/3.92 inference(cnf_transformation,[],[f48])).
% 25.35/3.92 tff(f73,plain,(
% 25.35/3.92 sK3 != $sum($product(0,sK4),sK3) | $less(sK3,0) | sP0(sK3,sK4,sK5,sK6)),
% 25.35/3.92 inference(cnf_transformation,[],[f48])).
% 25.35/3.92 tff(f78,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X1 : $int,X6 : $int] : (~sP0($sum($product(X3,X1),X6),X1,X2,X3) | $less(X6,0) | ~$less(X6,X1) | ~$less(X2,X1)) )),
% 25.35/3.92 inference(equality_resolution,[],[f62])).
% 25.35/3.92 tff(f79,plain,(
% 25.35/3.92 $less(sK3,0) | ~$less(sK5,0)),
% 25.35/3.92 inference(evaluation,[],[f71])).
% 25.35/3.92 tff(f80,plain,(
% 25.35/3.92 $less(sK3,0) | sK3 = $sum($product(sK6,sK4),sK5)),
% 25.35/3.92 inference(evaluation,[],[f72])).
% 25.35/3.92 tff(f81,plain,(
% 25.35/3.92 $less(sK3,0) | sP0(sK3,sK4,sK5,sK6)),
% 25.35/3.92 inference(evaluation,[],[f73])).
% 25.35/3.92 tff(f83,definition,(
% 25.35/3.92 spl7_1 <=> $less(sK5,0)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition])).
% 25.35/3.92 tff(f85,plain,(
% 25.35/3.92 ~$less(sK5,0) | spl7_1),
% 25.35/3.92 inference(avatar_component_clause,[],[f83])).
% 25.35/3.92 tff(f87,definition,(
% 25.35/3.92 spl7_2 <=> $less(sK3,0)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition])).
% 25.35/3.92 tff(f90,plain,(
% 25.35/3.92 ~spl7_1 | spl7_2),
% 25.35/3.92 inference(avatar_split_clause,[],[f79,f87,f83])).
% 25.35/3.92 tff(f92,definition,(
% 25.35/3.92 spl7_3 <=> sK3 = $sum($product(sK6,sK4),sK5)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition])).
% 25.35/3.92 tff(f94,plain,(
% 25.35/3.92 sK3 = $sum($product(sK6,sK4),sK5) | ~spl7_3),
% 25.35/3.92 inference(avatar_component_clause,[],[f92])).
% 25.35/3.92 tff(f95,plain,(
% 25.35/3.92 spl7_3 | spl7_2),
% 25.35/3.92 inference(avatar_split_clause,[],[f80,f87,f92])).
% 25.35/3.92 tff(f97,definition,(
% 25.35/3.92 spl7_4 <=> sP0(sK3,sK4,sK5,sK6)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition])).
% 25.35/3.92 tff(f99,plain,(
% 25.35/3.92 sP0(sK3,sK4,sK5,sK6) | ~spl7_4),
% 25.35/3.92 inference(avatar_component_clause,[],[f97])).
% 25.35/3.92 tff(f100,plain,(
% 25.35/3.92 spl7_4 | spl7_2),
% 25.35/3.92 inference(avatar_split_clause,[],[f81,f87,f97])).
% 25.35/3.92 tff(f101,plain,(
% 25.35/3.92 ~spl7_2),
% 25.35/3.92 inference(avatar_split_clause,[],[f70,f87])).
% 25.35/3.92 tff(f192,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($less(0,$sum(X1,$uminus(X0))) | ~$less(X0,X1)) )),
% 25.35/3.92 inference(superposition,[],[f25,f21])).
% 25.35/3.92 tff(f193,plain,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X2,X0)) | ~$less(X1,X2)) )),
% 25.35/3.92 inference(superposition,[],[f25,f17])).
% 25.35/3.92 tff(f256,plain,(
% 25.35/3.92 ( ! [X0 : $int] : ($sum($product(sK6,sK4),$sum(sK5,X0)) = $sum(sK3,X0)) ) | ~spl7_3),
% 25.35/3.92 inference(superposition,[],[f18,f94])).
% 25.35/3.92 tff(f263,plain,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X1,$sum(X2,X0))) )),
% 25.35/3.92 inference(superposition,[],[f18,f17])).
% 25.35/3.92 tff(f265,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less($sum(X3,X2),$sum(X0,$sum(X1,X2))) | ~$less(X3,$sum(X0,X1))) )),
% 25.35/3.92 inference(superposition,[],[f25,f18])).
% 25.35/3.92 tff(f328,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,X1),$sum($product(X0,X2),X3)) = $sum($product(X0,$sum(X1,X2)),X3)) )),
% 25.35/3.92 inference(superposition,[],[f18,f32])).
% 25.35/3.92 tff(f414,plain,(
% 25.35/3.92 $less(sK5,sK4) | $sum(sK6,1) = sK1(sK3,sK4,sK5,sK6) | ~spl7_4),
% 25.35/3.92 inference(resolution,[],[f63,f99])).
% 25.35/3.92 tff(f417,plain,(
% 25.35/3.92 $less(sK5,sK4) | $sum(sK5,$uminus(sK4)) = sK2(sK3,sK4,sK5,sK6) | ~spl7_4),
% 25.35/3.92 inference(resolution,[],[f65,f99])).
% 25.35/3.92 tff(f423,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~sP0($sum($product(X0,X1),X2),X0,X3,X1) | $less(X2,0) | ~$less(X2,X0) | ~$less(X3,X0)) )),
% 25.35/3.92 inference(superposition,[],[f78,f28])).
% 25.35/3.92 tff(f483,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($product(sK1(X0,X1,X2,X3),X1),sK2(X0,X1,X2,X3)) != X0 | $less(sK2(X0,X1,X2,X3),0) | ~$less(sK2(X0,X1,X2,X3),X2) | $less(X2,X1) | ~sP0(X0,X1,X2,X3)) )),
% 25.35/3.92 inference(forward_subsumption_resolution,[],[f67,f23])).
% 25.35/3.92 tff(f484,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum(sK2(X0,X1,X2,X3),$product(sK1(X0,X1,X2,X3),X1)) != X0 | $less(sK2(X0,X1,X2,X3),0) | ~$less(sK2(X0,X1,X2,X3),X2) | $less(X2,X1) | ~sP0(X0,X1,X2,X3)) )),
% 25.35/3.92 inference(forward_demodulation,[],[f483,f17])).
% 25.35/3.92 tff(f485,plain,(
% 25.35/3.92 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~sP0(X0,X1,X2,X3) | $less(sK2(X0,X1,X2,X3),0) | ~$less(sK2(X0,X1,X2,X3),X2) | $less(X2,X1) | $sum(sK2(X0,X1,X2,X3),$product(X1,sK1(X0,X1,X2,X3))) != X0) )),
% 25.35/3.92 inference(forward_demodulation,[],[f484,f28])).
% 25.35/3.92 tff(f486,plain,(
% 25.35/3.92 $less(sK2(sK3,sK4,sK5,sK6),0) | ~$less(sK2(sK3,sK4,sK5,sK6),sK5) | $less(sK5,sK4) | sK3 != $sum(sK2(sK3,sK4,sK5,sK6),$product(sK4,sK1(sK3,sK4,sK5,sK6))) | ~spl7_4),
% 25.35/3.92 inference(resolution,[],[f485,f99])).
% 25.35/3.92 tff(f530,definition,(
% 25.35/3.92 spl7_14 <=> $less(sK5,sK4)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition])).
% 25.35/3.92 tff(f532,plain,(
% 25.35/3.92 ~$less(sK5,sK4) | spl7_14),
% 25.35/3.92 inference(avatar_component_clause,[],[f530])).
% 25.35/3.92 tff(f595,plain,(
% 25.35/3.92 ( ! [X0 : $int] : ($sum(sK3,X0) = $sum($product(sK4,sK6),$sum(sK5,X0))) ) | ~spl7_3),
% 25.35/3.92 inference(forward_demodulation,[],[f256,f28])).
% 25.35/3.92 tff(f597,definition,(
% 25.35/3.92 spl7_24 <=> ! [X0 : $int] : (~sP0(sK3,sK4,X0,sK6) | ~$less(X0,sK4))),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_24])],[avatar_definition])).
% 25.35/3.92 tff(f598,plain,(
% 25.35/3.92 ( ! [X0 : $int] : (~sP0(sK3,sK4,X0,sK6) | ~$less(X0,sK4)) ) | ~spl7_24),
% 25.35/3.92 inference(avatar_component_clause,[],[f597])).
% 25.35/3.92 tff(f609,plain,(
% 25.35/3.92 sK1(sK3,sK4,sK5,sK6) = $sum(1,sK6) | $less(sK5,sK4) | ~spl7_4),
% 25.35/3.92 inference(forward_demodulation,[],[f414,f17])).
% 25.35/3.92 tff(f611,definition,(
% 25.35/3.92 spl7_27 <=> $sum(sK5,$uminus(sK4)) = sK2(sK3,sK4,sK5,sK6)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition])).
% 25.35/3.92 tff(f613,plain,(
% 25.35/3.92 $sum(sK5,$uminus(sK4)) = sK2(sK3,sK4,sK5,sK6) | ~spl7_27),
% 25.35/3.92 inference(avatar_component_clause,[],[f611])).
% 25.35/3.92 tff(f614,plain,(
% 25.35/3.92 spl7_27 | spl7_14 | ~spl7_4),
% 25.35/3.92 inference(avatar_split_clause,[],[f417,f97,f530,f611])).
% 25.35/3.92 tff(f616,definition,(
% 25.35/3.92 spl7_28 <=> sK3 = $sum(sK2(sK3,sK4,sK5,sK6),$product(sK4,sK1(sK3,sK4,sK5,sK6)))),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_28])],[avatar_definition])).
% 25.35/3.92 tff(f618,plain,(
% 25.35/3.92 sK3 != $sum(sK2(sK3,sK4,sK5,sK6),$product(sK4,sK1(sK3,sK4,sK5,sK6))) | spl7_28),
% 25.35/3.92 inference(avatar_component_clause,[],[f616])).
% 25.35/3.92 tff(f620,definition,(
% 25.35/3.92 spl7_29 <=> $less(sK2(sK3,sK4,sK5,sK6),sK5)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_29])],[avatar_definition])).
% 25.35/3.92 tff(f622,plain,(
% 25.35/3.92 ~$less(sK2(sK3,sK4,sK5,sK6),sK5) | spl7_29),
% 25.35/3.92 inference(avatar_component_clause,[],[f620])).
% 25.35/3.92 tff(f624,definition,(
% 25.35/3.92 spl7_30 <=> $less(sK2(sK3,sK4,sK5,sK6),0)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_30])],[avatar_definition])).
% 25.35/3.92 tff(f626,plain,(
% 25.35/3.92 $less(sK2(sK3,sK4,sK5,sK6),0) | ~spl7_30),
% 25.35/3.92 inference(avatar_component_clause,[],[f624])).
% 25.35/3.92 tff(f627,plain,(
% 25.35/3.92 ~spl7_28 | spl7_14 | ~spl7_29 | spl7_30 | ~spl7_4),
% 25.35/3.92 inference(avatar_split_clause,[],[f486,f97,f624,f620,f530,f616])).
% 25.35/3.92 tff(f633,definition,(
% 25.35/3.92 spl7_32 <=> sK1(sK3,sK4,sK5,sK6) = $sum(1,sK6)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_32])],[avatar_definition])).
% 25.35/3.92 tff(f635,plain,(
% 25.35/3.92 sK1(sK3,sK4,sK5,sK6) = $sum(1,sK6) | ~spl7_32),
% 25.35/3.92 inference(avatar_component_clause,[],[f633])).
% 25.35/3.92 tff(f636,plain,(
% 25.35/3.92 spl7_14 | spl7_32 | ~spl7_4),
% 25.35/3.92 inference(avatar_split_clause,[],[f609,f97,f633,f530])).
% 25.35/3.92 tff(f642,definition,(
% 25.35/3.92 spl7_33 <=> sK4 = sK5),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_33])],[avatar_definition])).
% 25.35/3.92 tff(f644,plain,(
% 25.35/3.92 sK4 = sK5 | ~spl7_33),
% 25.35/3.92 inference(avatar_component_clause,[],[f642])).
% 25.35/3.92 tff(f646,definition,(
% 25.35/3.92 spl7_34 <=> $less(sK4,sK5)),
% 25.35/3.92 introduced(definition,[new_symbols(definition,[spl7_34])],[avatar_definition])).
% 25.35/3.92 tff(f771,plain,(
% 25.35/3.92 ~$less($sum(sK5,$uminus(sK4)),sK5) | (~spl7_27 | spl7_29)),
% 25.35/3.92 inference(superposition,[],[f622,f613])).
% 25.35/3.92 tff(f804,plain,(
% 25.35/3.92 sK3 != $sum(sK2(sK3,sK4,sK5,sK6),$product(sK4,$sum(1,sK6))) | (spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f618,f635])).
% 25.35/3.92 tff(f805,plain,(
% 25.35/3.92 sK3 != $sum($product(sK4,$sum(1,sK6)),sK2(sK3,sK4,sK5,sK6)) | (spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f804,f17])).
% 25.35/3.92 tff(f806,plain,(
% 25.35/3.92 sK3 != $sum($product(sK4,$sum(1,sK6)),$sum(sK5,$uminus(sK4))) | (~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f805,f613])).
% 25.35/3.92 tff(f807,plain,(
% 25.35/3.92 sK3 != $sum($sum(sK5,$uminus(sK4)),$product(sK4,$sum(1,sK6))) | (~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f806,f17])).
% 25.35/3.92 tff(f808,plain,(
% 25.35/3.92 sK3 != $sum(sK5,$sum($uminus(sK4),$product(sK4,$sum(1,sK6)))) | (~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f807,f18])).
% 25.35/3.92 tff(f933,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($less(0,$sum(X1,X0)) | ~$less($uminus(X0),X1)) )),
% 25.35/3.92 inference(superposition,[],[f192,f27])).
% 25.35/3.92 tff(f1076,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(X1,X0)) | ~$less(0,X1)) )),
% 25.35/3.92 inference(superposition,[],[f193,f19])).
% 25.35/3.92 tff(f3105,plain,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,$uminus(X1)),$sum(X2,0)) | ~$less(X0,$sum(X2,X1))) )),
% 25.35/3.92 inference(superposition,[],[f265,f21])).
% 25.35/3.92 tff(f3130,plain,(
% 25.35/3.92 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,$uminus(X1)),X2) | ~$less(X0,$sum(X2,X1))) )),
% 25.35/3.92 inference(evaluation,[],[f3105])).
% 25.35/3.92 tff(f3509,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($sum($product(sK4,$sum(X1,sK6)),$sum(sK5,X0)) = $sum($product(sK4,X1),$sum(sK3,X0))) ) | ~spl7_3),
% 25.35/3.92 inference(superposition,[],[f328,f595])).
% 25.35/3.92 tff(f3587,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($sum($product(sK4,$sum(X1,sK6)),$sum(sK5,X0)) = $sum(sK3,$sum(X0,$product(sK4,X1)))) ) | ~spl7_3),
% 25.35/3.92 inference(forward_demodulation,[],[f3509,f263])).
% 25.35/3.92 tff(f3606,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : ($sum(sK3,$sum(X0,$product(sK4,X1))) = $sum(sK5,$sum(X0,$product(sK4,$sum(X1,sK6))))) ) | ~spl7_3),
% 25.35/3.92 inference(forward_demodulation,[],[f3587,f263])).
% 25.35/3.92 tff(f3725,plain,(
% 25.35/3.92 ( ! [X0 : $int,X1 : $int] : (~sP0($sum(sK3,X0),sK4,X1,sK6) | $less($sum(sK5,X0),0) | ~$less($sum(sK5,X0),sK4) | ~$less(X1,sK4)) ) | ~spl7_3),
% 25.35/3.92 inference(superposition,[],[f423,f595])).
% 25.35/3.92 tff(f8885,plain,(
% 25.35/3.92 sK3 != $sum(sK3,$sum($uminus(sK4),$product(sK4,1))) | (~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(superposition,[],[f808,f3606])).
% 25.35/3.92 tff(f8938,plain,(
% 25.35/3.92 sK3 != $sum(sK3,$sum($uminus(sK4),sK4)) | (~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(evaluation,[],[f8885])).
% 25.35/3.92 tff(f8961,plain,(
% 25.35/3.92 sK3 != $sum(sK3,$sum(sK4,$uminus(sK4))) | (~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f8938,f17])).
% 25.35/3.92 tff(f8984,plain,(
% 25.35/3.92 sK3 != $sum(sK3,0) | (~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(forward_demodulation,[],[f8961,f21])).
% 25.35/3.92 tff(f8985,plain,(
% 25.35/3.92 $false | (~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32)),
% 25.35/3.92 inference(evaluation,[],[f8984])).
% 25.35/3.92 tff(f8986,plain,(
% 25.35/3.92 ~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32),
% 25.35/3.92 inference(avatar_contradiction_clause,[],[f8985])).
% 25.35/3.92 tff(f9790,plain,(
% 25.35/3.92 ( ! [X0 : $int] : (~sP0(sK3,sK4,X0,sK6) | $less($sum(sK5,0),0) | ~$less($sum(sK5,0),sK4) | ~$less(X0,sK4)) ) | ~spl7_3),
% 25.35/3.92 inference(superposition,[],[f3725,f19])).
% 25.35/3.92 tff(f9798,plain,(
% 25.35/3.92 ( ! [X0 : $int] : (~sP0(sK3,sK4,X0,sK6) | $less(sK5,0) | ~$less(sK5,sK4) | ~$less(X0,sK4)) ) | ~spl7_3),
% 25.35/3.92 inference(evaluation,[],[f9790])).
% 25.35/3.92 tff(f21492,plain,(
% 25.35/3.92 $less($sum(sK5,$uminus(sK4)),0) | (~spl7_27 | ~spl7_30)),
% 25.35/3.92 inference(forward_demodulation,[],[f626,f613])).
% 25.35/3.92 tff(f22572,plain,(
% 25.35/3.92 ( ! [X0 : $int] : (~sP0(sK3,sK4,X0,sK6) | ~$less(sK5,sK4) | ~$less(X0,sK4)) ) | (spl7_1 | ~spl7_3)),
% 25.35/3.92 inference(forward_subsumption_resolution,[],[f9798,f85])).
% 25.35/3.92 tff(f22678,plain,(
% 25.35/3.92 ~spl7_14 | spl7_24 | spl7_1 | ~spl7_3),
% 25.35/3.92 inference(avatar_split_clause,[],[f22572,f92,f83,f597,f530])).
% 25.35/3.92 tff(f23083,plain,(
% 25.35/3.92 ~$less(sK5,sK4) | (~spl7_4 | ~spl7_24)),
% 25.35/3.92 inference(resolution,[],[f598,f99])).
% 25.35/3.92 tff(f23188,plain,(
% 25.35/3.92 ~spl7_14 | ~spl7_4 | ~spl7_24),
% 25.35/3.92 inference(avatar_split_clause,[],[f23083,f597,f97,f530])).
% 25.35/3.92 tff(f23322,plain,(
% 25.35/3.92 $less(sK4,sK5) | sK4 = sK5 | spl7_14),
% 25.35/3.92 inference(resolution,[],[f532,f24])).
% 25.35/3.92 tff(f23325,plain,(
% 25.35/3.92 spl7_33 | spl7_34 | spl7_14),
% 25.35/3.92 inference(avatar_split_clause,[],[f23322,f530,f646,f642])).
% 25.35/3.92 tff(f23902,plain,(
% 25.35/3.92 ~$less(sK5,$sum(sK5,sK4)) | (~spl7_27 | spl7_29)),
% 25.35/3.92 inference(resolution,[],[f3130,f771])).
% 25.35/3.92 tff(f23926,plain,(
% 25.35/3.92 ~$less(sK5,$sum(sK4,sK5)) | (~spl7_27 | spl7_29)),
% 25.35/3.92 inference(forward_demodulation,[],[f23902,f17])).
% 25.35/3.92 tff(f35310,plain,(
% 25.35/3.92 ~$less(0,sK4) | (~spl7_27 | spl7_29)),
% 25.35/3.92 inference(resolution,[],[f23926,f1076])).
% 25.35/3.92 tff(f35313,plain,(
% 25.35/3.92 $false | (~spl7_27 | spl7_29)),
% 25.35/3.92 inference(forward_subsumption_resolution,[],[f35310,f69])).
% 25.35/3.92 tff(f35314,plain,(
% 25.35/3.92 ~spl7_27 | spl7_29),
% 25.35/3.92 inference(avatar_contradiction_clause,[],[f35313])).
% 25.35/3.92 tff(f35334,plain,(
% 25.35/3.92 ( ! [X0 : $int] : (~$less(X0,$sum(sK5,$uminus(sK4))) | $less(X0,0)) ) | (~spl7_27 | ~spl7_30)),
% 25.35/3.92 inference(resolution,[],[f21492,f23])).
% 25.35/3.92 tff(f35770,plain,(
% 25.35/3.92 $less(0,0) | ~$less($uminus($uminus(sK4)),sK5) | (~spl7_27 | ~spl7_30)),
% 25.35/3.92 inference(resolution,[],[f35334,f933])).
% 25.35/3.92 tff(f35787,plain,(
% 25.35/3.92 ~$less(sK4,sK5) | (~spl7_27 | ~spl7_30)),
% 25.35/3.92 inference(evaluation,[],[f35770])).
% 25.35/3.92 tff(f35810,plain,(
% 25.35/3.92 ~spl7_34 | ~spl7_27 | ~spl7_30),
% 25.35/3.92 inference(avatar_split_clause,[],[f35787,f624,f611,f646])).
% 25.35/3.92 tff(f35918,plain,(
% 25.35/3.92 $less($sum(sK4,$uminus(sK4)),0) | (~spl7_27 | ~spl7_30 | ~spl7_33)),
% 25.35/3.92 inference(superposition,[],[f21492,f644])).
% 25.35/3.92 tff(f35938,plain,(
% 25.35/3.92 $less(0,0) | (~spl7_27 | ~spl7_30 | ~spl7_33)),
% 25.35/3.92 inference(forward_demodulation,[],[f35918,f21])).
% 25.35/3.92 tff(f35939,plain,(
% 25.35/3.92 $false | (~spl7_27 | ~spl7_30 | ~spl7_33)),
% 25.35/3.92 inference(evaluation,[],[f35938])).
% 25.35/3.92 tff(f35940,plain,(
% 25.35/3.92 ~spl7_27 | ~spl7_30 | ~spl7_33),
% 25.35/3.92 inference(avatar_contradiction_clause,[],[f35939])).
% 25.35/3.92 cnf(s1, plain, ~spl7_1 | spl7_2, inference(sat_conversion,[],[f90])).
% 25.35/3.92 cnf(s2, plain, spl7_2 | spl7_3, inference(sat_conversion,[],[f95])).
% 25.35/3.92 cnf(s3, plain, spl7_2 | spl7_4, inference(sat_conversion,[],[f100])).
% 25.35/3.92 cnf(s4, plain, ~spl7_2, inference(sat_conversion,[],[f101])).
% 25.35/3.92 cnf(s28, plain, ~spl7_4 | spl7_14 | spl7_27, inference(sat_conversion,[],[f614])).
% 25.35/3.92 cnf(s29, plain, ~spl7_4 | spl7_14 | ~spl7_28 | ~spl7_29 | spl7_30, inference(sat_conversion,[],[f627])).
% 25.35/3.92 cnf(s31, plain, ~spl7_4 | spl7_14 | spl7_32, inference(sat_conversion,[],[f636])).
% 25.35/3.92 cnf(s219, plain, ~spl7_3 | ~spl7_27 | spl7_28 | ~spl7_32, inference(sat_conversion,[],[f8986])).
% 25.35/3.92 cnf(s860, plain, spl7_1 | ~spl7_3 | ~spl7_14 | spl7_24, inference(sat_conversion,[],[f22678])).
% 25.35/3.92 cnf(s1140, plain, ~spl7_4 | ~spl7_14 | ~spl7_24, inference(sat_conversion,[],[f23188])).
% 25.35/3.92 cnf(s1273, plain, spl7_14 | spl7_33 | spl7_34, inference(sat_conversion,[],[f23325])).
% 25.35/3.92 cnf(s1417, plain, ~spl7_27 | spl7_29, inference(sat_conversion,[],[f35314])).
% 25.35/3.92 cnf(s1494, plain, ~spl7_27 | ~spl7_30 | ~spl7_34, inference(sat_conversion,[],[f35810])).
% 25.35/3.92 cnf(s1497, plain, ~spl7_27 | ~spl7_30 | ~spl7_33, inference(sat_conversion,[],[f35940])).
% 25.35/3.92 cnf(s1502, plain, spl7_4, inference(rat,[],[s3,s4])).
% 25.35/3.92 cnf(s1503, plain, spl7_3, inference(rat,[],[s2,s4])).
% 25.35/3.92 cnf(s1512, plain, ~spl7_1, inference(rat,[],[s1,s4])).
% 25.35/3.92 cnf(s1519, plain, spl7_14, inference(rat,[],[s1273,s1494,s1497,s29,s219,s1417,s28,s31,s1502,s1503])).
% 25.35/3.92 cnf(s1520, plain, ~spl7_24, inference(rat,[],[s1140,s1502,s1519])).
% 25.35/3.92 cnf(s1527, plain, $false, inference(rat,[],[s860,s1512,s1503,s1520,s1519])).
% 25.35/3.92 tff(f36099,plain,(
% 25.35/3.92 $false),
% 25.35/3.92 inference(avatar_sat_refutation,[],[s1527])).
% 25.35/3.92 % SZS output end Proof for theBenchmark
% 25.35/3.92 % (3418615)------------------------------
% 25.35/3.92 % (3418615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.35/3.92 % (3418615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.35/3.92 % (3418615)CaDiCaL version: 2.1.3
% 25.35/3.92 % (3418615)Termination reason: Refutation
% 25.35/3.92 % (3418615)Time elapsed: 2.030 s
% 25.35/3.92 % (3418615)Peak memory usage: 25 MB
% 25.35/3.92 % (3418615)Instructions burned: 2099 (million)
% 25.35/3.92 % (3418555)Success in time 3.591 s
% 25.35/3.92 % Vampire exiting
%------------------------------------------------------------------------------