%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW650_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 : n001.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 01:40:35 PM UTC 2026
% Result : Theorem 18.78s 6.04s
% Output : Refutation 18.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW650_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 14:29:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 3.86/0.87 % (383048)Will run a generic schedule for satisfiability detection.
% 3.86/0.87 % (383057)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1405872921:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.86/0.87 % (383054)% WARNING: option uhcvi not known.
% 3.86/0.87 % (383053)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2314169378_2999 on theBenchmark for (2999ds/0Mi)
% 3.86/0.87 % (383054)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3863305660:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.86/0.87 % (383055)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3804040897:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.86/0.87 % (383058)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2214952113:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.86/0.87 % (383056)dis+10_1_sil=32000:sp=arity:random_seed=349114606:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.86/0.87 % (383059)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3879075908:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.86/0.87 % (383053)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.86/0.87 % (383053)Terminated due to inappropriate strategy.
% 3.86/0.87 % (383053)------------------------------
% 3.86/0.87 % (383053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.87 % (383053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.87 % (383053)CaDiCaL version: 2.1.3
% 3.86/0.87 % (383053)Termination reason: Inappropriate
% 3.86/0.87 % (383053)Time elapsed: 0.001 s
% 3.86/0.87 % (383053)Peak memory usage: 11 MB
% 3.86/0.87 % (383053)Instructions burned: 2 (million)
% 3.86/0.87 % (383053)------------------------------
% 3.86/0.87 % (383053)------------------------------
% 3.86/0.87 % (383067)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1446334188:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.86/0.87 % (383067)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.86/0.87 % (383067)Terminated due to inappropriate strategy.
% 3.86/0.87 % (383067)------------------------------
% 3.86/0.87 % (383067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.87 % (383067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.87 % (383067)CaDiCaL version: 2.1.3
% 3.86/0.87 % (383067)Termination reason: Inappropriate
% 3.86/0.87 % (383067)Time elapsed: 0.001 s
% 3.86/0.87 % (383067)Peak memory usage: 10 MB
% 3.86/0.87 % (383067)Instructions burned: 2 (million)
% 3.86/0.87 % (383067)------------------------------
% 3.86/0.87 % (383067)------------------------------
% 3.86/0.87 % (383057)Instruction limit reached!
% 3.86/0.87 % (383057)------------------------------
% 3.86/0.87 % (383057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.87 % (383057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.87 % (383057)CaDiCaL version: 2.1.3
% 3.86/0.87 % (383057)Termination reason: Instruction limit
% 3.86/0.87 % (383057)Termination phase: Saturation
% 3.86/0.87 % (383057)Time elapsed: 0.037 s
% 3.86/0.87 % (383057)Peak memory usage: 12 MB
% 3.86/0.87 % (383057)Instructions burned: 116 (million)
% 3.86/0.87 % (383070)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=1879244199:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.86/0.87 % (383069)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=904463448:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.86/0.87 % (383056)Instruction limit reached!
% 3.86/0.87 % (383056)------------------------------
% 3.86/0.87 % (383056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.87 % (383056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.87 % (383056)CaDiCaL version: 2.1.3
% 3.86/0.87 % (383056)Termination reason: Instruction limit
% 3.86/0.87 % (383056)Termination phase: Saturation
% 3.86/0.87 % (383056)Time elapsed: 0.058 s
% 3.86/0.87 % (383056)Peak memory usage: 12 MB
% 3.86/0.87 % (383056)Instructions burned: 103 (million)
% 3.86/0.87 % (383058)Instruction limit reached!
% 3.86/0.87 % (383058)------------------------------
% 3.86/0.87 % (383058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.07/1.44 % (383058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.44 % (383058)CaDiCaL version: 2.1.3
% 8.07/1.44 % (383058)Termination reason: Instruction limit
% 8.07/1.44 % (383058)Termination phase: Saturation
% 8.07/1.44 % (383058)Time elapsed: 0.072 s
% 8.07/1.44 % (383058)Peak memory usage: 12 MB
% 8.07/1.44 % (383058)Instructions burned: 131 (million)
% 8.07/1.44 % (383073)ott-21_1_sil=16000:fs=off:random_seed=140908074:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.07/1.44 % (383074)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=734616659:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.07/1.44 % (383059)Instruction limit reached!
% 8.07/1.44 % (383059)------------------------------
% 8.07/1.44 % (383059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.07/1.44 % (383059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.44 % (383059)CaDiCaL version: 2.1.3
% 8.07/1.44 % (383059)Termination reason: Instruction limit
% 8.07/1.44 % (383059)Termination phase: Saturation
% 8.07/1.44 % (383059)Time elapsed: 0.113 s
% 8.07/1.44 % (383059)Peak memory usage: 13 MB
% 8.07/1.44 % (383059)Instructions burned: 160 (million)
% 8.07/1.44 % (383069)Instruction limit reached!
% 8.07/1.44 % (383069)------------------------------
% 8.07/1.44 % (383069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.07/1.44 % (383069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.44 % (383069)CaDiCaL version: 2.1.3
% 8.07/1.44 % (383069)Termination reason: Instruction limit
% 8.07/1.44 % (383069)Termination phase: Saturation
% 8.07/1.44 % (383069)Time elapsed: 0.085 s
% 8.07/1.44 % (383069)Peak memory usage: 13 MB
% 8.07/1.44 % (383069)Instructions burned: 132 (million)
% 8.07/1.44 % (383077)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=306183301:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.07/1.44 % (383077)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.07/1.44 % (383077)Terminated due to inappropriate strategy.
% 8.07/1.44 % (383077)------------------------------
% 8.07/1.44 % (383077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.07/1.44 % (383077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.44 % (383077)CaDiCaL version: 2.1.3
% 8.07/1.44 % (383077)Termination reason: Inappropriate
% 8.07/1.44 % (383077)Time elapsed: 0.001 s
% 8.07/1.44 % (383077)Peak memory usage: 10 MB
% 8.07/1.44 % (383077)Instructions burned: 2 (million)
% 8.07/1.44 % (383077)------------------------------
% 8.07/1.44 % (383077)------------------------------
% 8.07/1.44 % (383078)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2608515688:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.07/1.44 % (383080)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1138704491:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.07/1.44 % (383080)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.07/1.44 % (383080)Terminated due to inappropriate strategy.
% 8.07/1.44 % (383080)------------------------------
% 8.07/1.44 % (383080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.07/1.44 % (383080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.44 % (383080)CaDiCaL version: 2.1.3
% 8.07/1.44 % (383080)Termination reason: Inappropriate
% 8.07/1.44 % (383080)Time elapsed: 0.001 s
% 8.07/1.44 % (383080)Peak memory usage: 10 MB
% 8.07/1.44 % (383080)Instructions burned: 2 (million)
% 8.07/1.44 % (383080)------------------------------
% 8.07/1.44 % (383080)------------------------------
% 8.07/1.44 % (383073)Instruction limit reached!
% 8.07/1.44 % (383073)------------------------------
% 8.07/1.44 % (383073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.07/1.44 % (383073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.44 % (383073)CaDiCaL version: 2.1.3
% 8.07/1.44 % (383073)Termination reason: Instruction limit
% 8.07/1.44 % (383073)Termination phase: Saturation
% 8.07/1.44 % (383073)Time elapsed: 0.085 s
% 8.07/1.44 % (383073)Peak memory usage: 12 MB
% 8.07/1.44 % (383073)Instructions burned: 182 (million)
% 8.07/1.44 % (383083)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=3509845052:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 21.00/3.21 % (383084)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2592658226:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 21.00/3.21 % (383070)Instruction limit reached!
% 21.00/3.21 % (383070)------------------------------
% 21.00/3.21 % (383070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.00/3.21 % (383070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.21 % (383070)CaDiCaL version: 2.1.3
% 21.00/3.21 % (383070)Termination reason: Instruction limit
% 21.00/3.21 % (383070)Termination phase: Saturation
% 21.00/3.21 % (383070)Time elapsed: 0.176 s
% 21.00/3.21 % (383070)Peak memory usage: 15 MB
% 21.00/3.21 % (383070)Instructions burned: 688 (million)
% 21.00/3.21 % (383087)fmb+10_1_sil=64000:random_seed=3543762613:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 21.00/3.21 % (383087)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 21.00/3.21 % (383087)Terminated due to inappropriate strategy.
% 21.00/3.21 % (383087)------------------------------
% 21.00/3.21 % (383087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.00/3.21 % (383087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.21 % (383087)CaDiCaL version: 2.1.3
% 21.00/3.21 % (383087)Termination reason: Inappropriate
% 21.00/3.21 % (383087)Time elapsed: 0.0000 s
% 21.00/3.21 % (383087)Peak memory usage: 10 MB
% 21.00/3.21 % (383087)Instructions burned: 2 (million)
% 21.00/3.21 % (383087)------------------------------
% 21.00/3.21 % (383087)------------------------------
% 21.00/3.21 % (383089)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2865531616:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 21.00/3.21 % (383089)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 21.00/3.21 % (383089)Terminated due to inappropriate strategy.
% 21.00/3.21 % (383089)------------------------------
% 21.00/3.21 % (383089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.00/3.21 % (383089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.21 % (383089)CaDiCaL version: 2.1.3
% 21.00/3.21 % (383089)Termination reason: Inappropriate
% 21.00/3.21 % (383089)Time elapsed: 0.0000 s
% 21.00/3.21 % (383089)Peak memory usage: 10 MB
% 21.00/3.21 % (383089)Instructions burned: 2 (million)
% 21.00/3.21 % (383089)------------------------------
% 21.00/3.21 % (383089)------------------------------
% 21.00/3.21 % (383091)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=27456123:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 21.00/3.21 % (383091)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 21.00/3.21 % (383091)Terminated due to inappropriate strategy.
% 21.00/3.21 % (383091)------------------------------
% 21.00/3.21 % (383091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.00/3.21 % (383091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.21 % (383091)CaDiCaL version: 2.1.3
% 21.00/3.21 % (383091)Termination reason: Inappropriate
% 21.00/3.21 % (383091)Time elapsed: 0.0000 s
% 21.00/3.21 % (383091)Peak memory usage: 10 MB
% 21.00/3.21 % (383091)Instructions burned: 2 (million)
% 21.00/3.21 % (383091)------------------------------
% 21.00/3.21 % (383091)------------------------------
% 21.00/3.21 % (383093)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=743414690:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 21.00/3.21 % (383074)Instruction limit reached!
% 21.00/3.21 % (383074)------------------------------
% 21.00/3.21 % (383074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.00/3.21 % (383074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.21 % (383074)CaDiCaL version: 2.1.3
% 21.00/3.21 % (383074)Termination reason: Instruction limit
% 21.00/3.21 % (383074)Termination phase: Saturation
% 21.00/3.21 % (383074)Time elapsed: 0.232 s
% 21.00/3.21 % (383074)Peak memory usage: 15 MB
% 21.00/3.21 % (383074)Instructions burned: 479 (million)
% 21.00/3.21 % (383095)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1238712984:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 21.00/3.21 % (383083)Instruction limit reached!
% 21.00/3.21 % (383083)------------------------------
% 21.00/3.21 % (383083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.00/3.21 % (383083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/3.87 % (383083)CaDiCaL version: 2.1.3
% 23.92/3.87 % (383083)Termination reason: Instruction limit
% 23.92/3.87 % (383083)Termination phase: Saturation
% 23.92/3.87 % (383083)Time elapsed: 0.427 s
% 23.92/3.87 % (383083)Peak memory usage: 19 MB
% 23.92/3.87 % (383083)Instructions burned: 692 (million)
% 23.92/3.87 % (383097)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4226473700:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 23.92/3.87 % (383097)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 23.92/3.87 % (383097)Terminated due to inappropriate strategy.
% 23.92/3.87 % (383097)------------------------------
% 23.92/3.87 % (383097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.92/3.87 % (383097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/3.87 % (383097)CaDiCaL version: 2.1.3
% 23.92/3.87 % (383097)Termination reason: Inappropriate
% 23.92/3.87 % (383097)Time elapsed: 0.001 s
% 23.92/3.87 % (383097)Peak memory usage: 11 MB
% 23.92/3.87 % (383097)Instructions burned: 2 (million)
% 23.92/3.87 % (383097)------------------------------
% 23.92/3.87 % (383097)------------------------------
% 23.92/3.87 % (383099)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=767294343:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 23.92/3.87 % (383099)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 23.92/3.87 % (383099)Terminated due to inappropriate strategy.
% 23.92/3.87 % (383099)------------------------------
% 23.92/3.87 % (383099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.92/3.87 % (383099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/3.87 % (383099)CaDiCaL version: 2.1.3
% 23.92/3.87 % (383099)Termination reason: Inappropriate
% 23.92/3.87 % (383099)Time elapsed: 0.001 s
% 23.92/3.87 % (383099)Peak memory usage: 10 MB
% 23.92/3.87 % (383099)Instructions burned: 2 (million)
% 23.92/3.87 % (383099)------------------------------
% 23.92/3.87 % (383099)------------------------------
% 23.92/3.87 % (383101)ott-2_1_sil=16000:newcnf=on:random_seed=3944229806:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 23.92/3.87 % (383084)Instruction limit reached!
% 23.92/3.87 % (383084)------------------------------
% 23.92/3.87 % (383084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.92/3.87 % (383084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/3.87 % (383084)CaDiCaL version: 2.1.3
% 23.92/3.87 % (383084)Termination reason: Instruction limit
% 23.92/3.87 % (383084)Termination phase: Saturation
% 23.92/3.87 % (383084)Time elapsed: 0.507 s
% 23.92/3.87 % (383084)Peak memory usage: 18 MB
% 23.92/3.87 % (383084)Instructions burned: 880 (million)
% 23.92/3.87 % (383103)ott+10_1_sil=32000:tgt=ground:random_seed=3648621607:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 23.92/3.87 % (383078)Instruction limit reached!
% 23.92/3.87 % (383078)------------------------------
% 23.92/3.87 % (383078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.92/3.87 % (383078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/3.87 % (383078)CaDiCaL version: 2.1.3
% 23.92/3.87 % (383078)Termination reason: Instruction limit
% 23.92/3.87 % (383078)Termination phase: Saturation
% 23.92/3.87 % (383078)Time elapsed: 0.724 s
% 23.92/3.87 % (383078)Peak memory usage: 18 MB
% 23.92/3.87 % (383078)Instructions burned: 1180 (million)
% 23.92/3.87 % (383105)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3071843135:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 23.92/3.87 % (383105)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 23.92/3.87 % (383105)Terminated due to inappropriate strategy.
% 23.92/3.87 % (383105)------------------------------
% 23.92/3.87 % (383105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.92/3.87 % (383105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.92/3.87 % (383105)CaDiCaL version: 2.1.3
% 23.92/3.87 % (383105)Termination reason: Inappropriate
% 23.92/3.87 % (383105)Time elapsed: 0.001 s
% 23.92/3.87 % (383105)Peak memory usage: 11 MB
% 23.92/3.87 % (383105)Instructions burned: 2 (million)
% 23.92/3.87 % (383105)------------------------------
% 23.92/3.87 % (383105)------------------------------
% 23.92/3.87 % (383107)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3867114838:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 23.92/3.87 % (383101)Instruction limit reached!
% 18.78/6.04 % (383101)------------------------------
% 18.78/6.04 % (383101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383101)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383101)Termination reason: Instruction limit
% 18.78/6.04 % (383101)Termination phase: Saturation
% 18.78/6.04 % (383101)Time elapsed: 0.512 s
% 18.78/6.04 % (383101)Peak memory usage: 17 MB
% 18.78/6.04 % (383101)Instructions burned: 870 (million)
% 18.78/6.04 % (383109)dis+21_1_sil=32000:sas=cadical:random_seed=2030748155:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 18.78/6.04 % (383095)Instruction limit reached!
% 18.78/6.04 % (383095)------------------------------
% 18.78/6.04 % (383095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383095)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383095)Termination reason: Instruction limit
% 18.78/6.04 % (383095)Termination phase: Saturation
% 18.78/6.04 % (383095)Time elapsed: 0.879 s
% 18.78/6.04 % (383095)Peak memory usage: 24 MB
% 18.78/6.04 % (383095)Instructions burned: 1472 (million)
% 18.78/6.04 % (383111)ott+11_1_sil=16000:gs=on:random_seed=4076241621:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 18.78/6.04 % (383093)Instruction limit reached!
% 18.78/6.04 % (383093)------------------------------
% 18.78/6.04 % (383093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383093)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383093)Termination reason: Instruction limit
% 18.78/6.04 % (383093)Termination phase: Saturation
% 18.78/6.04 % (383093)Time elapsed: 1.485 s
% 18.78/6.04 % (383093)Peak memory usage: 43 MB
% 18.78/6.04 % (383093)Instructions burned: 5133 (million)
% 18.78/6.04 % (383114)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=67564187:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 18.78/6.04 % (383114)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 18.78/6.04 % (383114)Terminated due to inappropriate strategy.
% 18.78/6.04 % (383114)------------------------------
% 18.78/6.04 % (383114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383114)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383114)Termination reason: Inappropriate
% 18.78/6.04 % (383114)Time elapsed: 0.001 s
% 18.78/6.04 % (383114)Peak memory usage: 11 MB
% 18.78/6.04 % (383114)Instructions burned: 2 (million)
% 18.78/6.04 % (383114)------------------------------
% 18.78/6.04 % (383114)------------------------------
% 18.78/6.04 % (383116)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1547694485:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 18.78/6.04 % (383111)Instruction limit reached!
% 18.78/6.04 % (383111)------------------------------
% 18.78/6.04 % (383111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383111)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383111)Termination reason: Instruction limit
% 18.78/6.04 % (383111)Termination phase: Saturation
% 18.78/6.04 % (383111)Time elapsed: 1.256 s
% 18.78/6.04 % (383111)Peak memory usage: 22 MB
% 18.78/6.04 % (383111)Instructions burned: 2251 (million)
% 18.78/6.04 % (383118)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=661912135:i=29340_2974 on theBenchmark for (2974ds/29340Mi)
% 18.78/6.04 % (383107)Instruction limit reached!
% 18.78/6.04 % (383107)------------------------------
% 18.78/6.04 % (383107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383107)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383107)Termination reason: Instruction limit
% 18.78/6.04 % (383107)Termination phase: Saturation
% 18.78/6.04 % (383107)Time elapsed: 1.924 s
% 18.78/6.04 % (383107)Peak memory usage: 30 MB
% 18.78/6.04 % (383107)Instructions burned: 3512 (million)
% 18.78/6.04 % (383120)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=211194822:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 18.78/6.04 % (383116)Instruction limit reached!
% 18.78/6.04 % (383116)------------------------------
% 18.78/6.04 % (383116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383116)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383116)Termination reason: Instruction limit
% 18.78/6.04 % (383116)Termination phase: Saturation
% 18.78/6.04 % (383116)Time elapsed: 1.174 s
% 18.78/6.04 % (383116)Peak memory usage: 66 MB
% 18.78/6.04 % (383116)Instructions burned: 4591 (million)
% 18.78/6.04 % (383122)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2789015446:i=5497:nm=2_2970 on theBenchmark for (2970ds/5497Mi)
% 18.78/6.04 % (383122)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 18.78/6.04 % (383122)Terminated due to inappropriate strategy.
% 18.78/6.04 % (383122)------------------------------
% 18.78/6.04 % (383122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383122)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383122)Termination reason: Inappropriate
% 18.78/6.04 % (383122)Time elapsed: 0.001 s
% 18.78/6.04 % (383122)Peak memory usage: 11 MB
% 18.78/6.04 % (383122)Instructions burned: 2 (million)
% 18.78/6.04 % (383122)------------------------------
% 18.78/6.04 % (383122)------------------------------
% 18.78/6.04 % (383124)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=494361217:fmbsr=2:i=46332_2970 on theBenchmark for (2970ds/46332Mi)
% 18.78/6.04 % (383124)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 18.78/6.04 % (383124)Terminated due to inappropriate strategy.
% 18.78/6.04 % (383124)------------------------------
% 18.78/6.04 % (383124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383124)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383124)Termination reason: Inappropriate
% 18.78/6.04 % (383124)Time elapsed: 0.001 s
% 18.78/6.04 % (383124)Peak memory usage: 11 MB
% 18.78/6.04 % (383124)Instructions burned: 2 (million)
% 18.78/6.04 % (383124)------------------------------
% 18.78/6.04 % (383124)------------------------------
% 18.78/6.04 % (383126)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2623339790:i=14071_2969 on theBenchmark for (2969ds/14071Mi)
% 18.78/6.04 % (383126)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 18.78/6.04 % (383126)Terminated due to inappropriate strategy.
% 18.78/6.04 % (383126)------------------------------
% 18.78/6.04 % (383126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383126)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383126)Termination reason: Inappropriate
% 18.78/6.04 % (383126)Time elapsed: 0.001 s
% 18.78/6.04 % (383126)Peak memory usage: 11 MB
% 18.78/6.04 % (383126)Instructions burned: 2 (million)
% 18.78/6.04 % (383126)------------------------------
% 18.78/6.04 % (383126)------------------------------
% 18.78/6.04 % (383128)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=565747120:i=22565:add=on:rawr=on_2969 on theBenchmark for (2969ds/22565Mi)
% 18.78/6.04 % (383109)Instruction limit reached!
% 18.78/6.04 % (383109)------------------------------
% 18.78/6.04 % (383109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383109)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383109)Termination reason: Instruction limit
% 18.78/6.04 % (383109)Termination phase: Saturation
% 18.78/6.04 % (383109)Time elapsed: 2.121 s
% 18.78/6.04 % (383109)Peak memory usage: 32 MB
% 18.78/6.04 % (383109)Instructions burned: 3773 (million)
% 18.78/6.04 % (383130)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2860948194:i=8173:av=off_2966 on theBenchmark for (2966ds/8173Mi)
% 18.78/6.04 % (383103)Instruction limit reached!
% 18.78/6.04 % (383103)------------------------------
% 18.78/6.04 % (383103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383103)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383103)Termination reason: Instruction limit
% 18.78/6.04 % (383103)Termination phase: Saturation
% 18.78/6.04 % (383103)Time elapsed: 2.900 s
% 18.78/6.04 % (383103)Peak memory usage: 26 MB
% 18.78/6.04 % (383103)Instructions burned: 5115 (million)
% 18.78/6.04 % (383132)dis+10_16:1_sil=16000:random_seed=844918100:i=9155:fsr=off_2963 on theBenchmark for (2963ds/9155Mi)
% 18.78/6.04 % (383120)Instruction limit reached!
% 18.78/6.04 % (383120)------------------------------
% 18.78/6.04 % (383120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.04 % (383120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.04 % (383120)CaDiCaL version: 2.1.3
% 18.78/6.04 % (383120)Termination reason: Instruction limit
% 18.78/6.04 % (383120)Termination phase: Saturation
% 18.78/6.04 % (383120)Time elapsed: 2.746 s
% 18.78/6.04 % (383120)Peak memory usage: 51 MB
% 18.78/6.04 % (383120)Instructions burned: 5211 (million)
% 18.78/6.04 % (383134)ott-3_8_sil=64000:random_seed=1170486871:i=20139:bs=on_2943 on theBenchmark for (2943ds/20139Mi)
% 18.78/6.04 % (383134) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-383048-383134"...
% 18.78/6.04 % (383134)...printing done.
% 18.78/6.04 % (383134)Refutation found. Thanks to Tanya!
% 18.78/6.04 % SZS status Theorem for theBenchmark
% 18.78/6.04 % SZS output start Proof for theBenchmark
% 18.78/6.04 tff(type_def_5, type, uni: $tType).
% 18.78/6.04 tff(type_def_6, type, ty: $tType).
% 18.78/6.04 tff(type_def_7, type, bool1: $tType).
% 18.78/6.04 tff(type_def_8, type, tuple02: $tType).
% 18.78/6.04 tff(type_def_9, type, t1: $tType).
% 18.78/6.04 tff(func_def_0, type, witness1: ty > uni).
% 18.78/6.04 tff(func_def_1, type, int: ty).
% 18.78/6.04 tff(func_def_2, type, real: ty).
% 18.78/6.04 tff(func_def_3, type, bool: ty).
% 18.78/6.04 tff(func_def_4, type, true1: bool1).
% 18.78/6.04 tff(func_def_5, type, false1: bool1).
% 18.78/6.04 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
% 18.78/6.04 tff(func_def_7, type, tuple0: ty).
% 18.78/6.04 tff(func_def_8, type, tuple03: tuple02).
% 18.78/6.04 tff(func_def_9, type, qtmark: ty).
% 18.78/6.04 tff(func_def_12, type, t: ty).
% 18.78/6.04 tff(func_def_13, type, f1: t1 > t1).
% 18.78/6.04 tff(func_def_14, type, x01: t1).
% 18.78/6.04 tff(func_def_15, type, iter1: ($int * t1) > t1).
% 18.78/6.04 tff(func_def_18, type, mu1: $int).
% 18.78/6.04 tff(func_def_19, type, lambda1: $int).
% 18.78/6.04 tff(func_def_21, type, ref: ty > ty).
% 18.78/6.04 tff(func_def_22, type, mk_ref: (ty * uni) > uni).
% 18.78/6.04 tff(func_def_23, type, contents: (ty * uni) > uni).
% 18.78/6.04 tff(func_def_24, type, dist1: ($int * $int) > $int).
% 18.78/6.04 tff(func_def_27, type, sK0: $int > $int).
% 18.78/6.04 tff(pred_def_1, type, sort1: (ty * uni) > $o).
% 18.78/6.04 tff(pred_def_4, type, rel1: (t1 * t1) > $o).
% 18.78/6.04 tff(f11,axiom,(
% 18.78/6.04 ! [X0 : t1] : iter1(1,X0) = f1(X0)),
% 18.78/6.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iter_1)).
% 18.78/6.04 tff(f12,axiom,(
% 18.78/6.04 ! [X0 : $int,X1 : t1] : ($less(0,X0) => iter1(X0,X1) = f1(iter1($difference(X0,1),X1)))),
% 18.78/6.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iter_s2)).
% 18.78/6.04 tff(f13,axiom,(
% 18.78/6.04 $lesseq(0,mu1)),
% 18.78/6.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mu_range)).
% 18.78/6.04 tff(f14,axiom,(
% 18.78/6.04 $lesseq(1,lambda1)),
% 18.78/6.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lambda_range)).
% 18.78/6.04 tff(f24,conjecture,(
% 18.78/6.04 ? [X0 : $int] : ($lesseq(1,X0) & $lesseq(X0,$sum(mu1,lambda1)) & f1(x01) = iter1(X0,x01) & f1(f1(x01)) = iter1($product(2,X0),x01) & ! [X1 : $int] : (($lesseq(1,X1) & $less(X1,X0)) => iter1(X1,x01) != iter1($product(2,X1),x01)))),
% 18.78/6.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_tortoise_hare)).
% 18.78/6.04 tff(f25,negated_conjecture,(
% 18.78/6.04 ~ ? [X0 : $int] : ($lesseq(1,X0) & $lesseq(X0,$sum(mu1,lambda1)) & f1(x01) = iter1(X0,x01) & f1(f1(x01)) = iter1($product(2,X0),x01) & ! [X1 : $int] : (($lesseq(1,X1) & $less(X1,X0)) => iter1(X1,x01) != iter1($product(2,X1),x01)))),
% 18.78/6.04 inference(negated_conjecture,[status(cth)],[f24])).
% 18.78/6.04 tff(f28,plain,(
% 18.78/6.04 ! [X0 : $int,X1 : t1] : ($less(0,X0) => iter1(X0,X1) = f1(iter1($sum(X0,$uminus(1)),X1)))),
% 18.78/6.04 inference(theory_normalization,[],[f12])).
% 18.78/6.04 tff(f29,plain,(
% 18.78/6.04 ~$less(mu1,0)),
% 18.78/6.04 inference(theory_normalization,[],[f13])).
% 18.78/6.04 tff(f30,plain,(
% 18.78/6.04 ~$less(lambda1,1)),
% 18.78/6.04 inference(theory_normalization,[],[f14])).
% 18.78/6.04 tff(f36,plain,(
% 18.78/6.04 ~ ? [X0 : $int] : (~$less(X0,1) & ~$less($sum(mu1,lambda1),X0) & f1(x01) = iter1(X0,x01) & f1(f1(x01)) = iter1($product(2,X0),x01) & ! [X1 : $int] : ((~$less(X1,1) & $less(X1,X0)) => iter1(X1,x01) != iter1($product(2,X1),x01)))),
% 18.78/6.04 inference(theory_normalization,[],[f25])).
% 18.78/6.04 tff(f37,definition,(
% 18.78/6.04 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 18.78/6.04 introduced(theory,[tha_commutativity])).
% 18.78/6.04 tff(f39,definition,(
% 18.78/6.04 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 18.78/6.04 introduced(theory,[tha_right_identity])).
% 18.78/6.04 tff(f42,definition,(
% 18.78/6.04 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 18.78/6.04 introduced(theory,[tha_non-reflexivity])).
% 18.78/6.04 tff(f43,definition,(
% 18.78/6.04 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
% 18.78/6.04 introduced(theory,[tha_transitivity])).
% 18.78/6.04 tff(f44,definition,(
% 18.78/6.04 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 18.78/6.04 introduced(theory,[tha_order_totality])).
% 18.78/6.04 tff(f45,definition,(
% 18.78/6.04 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 18.78/6.04 introduced(theory,[tha_order_monotonicity])).
% 18.78/6.04 tff(f46,definition,(
% 18.78/6.04 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 18.78/6.04 introduced(theory,[tha_order_plus_one_dichotomy])).
% 18.78/6.04 tff(f48,definition,(
% 18.78/6.04 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 18.78/6.04 introduced(theory,[tha_commutativity])).
% 18.78/6.04 tff(f49,definition,(
% 18.78/6.04 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 18.78/6.04 introduced(theory,[tha_associativity])).
% 18.78/6.04 tff(f50,definition,(
% 18.78/6.04 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 18.78/6.04 introduced(theory,[tha_right_identity])).
% 18.78/6.04 tff(f54,definition,(
% 18.78/6.04 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 18.78/6.04 introduced(theory,[tha_extra_integer_ordering])).
% 18.78/6.04 tff(f60,plain,(
% 18.78/6.04 ! [X0 : $int,X1 : t1] : (iter1(X0,X1) = f1(iter1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0))),
% 18.78/6.04 inference(ennf_transformation,[],[f28])).
% 18.78/6.04 tff(f69,plain,(
% 18.78/6.04 ! [X0 : $int] : ($less(X0,1) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != f1(x01) | f1(f1(x01)) != iter1($product(2,X0),x01) | ? [X1 : $int] : (iter1(X1,x01) = iter1($product(2,X1),x01) & (~$less(X1,1) & $less(X1,X0))))),
% 18.78/6.04 inference(ennf_transformation,[],[f36])).
% 18.78/6.04 tff(f70,plain,(
% 18.78/6.04 ! [X0 : $int] : ($less(X0,1) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != f1(x01) | f1(f1(x01)) != iter1($product(2,X0),x01) | ? [X1 : $int] : (iter1(X1,x01) = iter1($product(2,X1),x01) & ~$less(X1,1) & $less(X1,X0)))),
% 18.78/6.04 inference(flattening,[],[f69])).
% 18.78/6.04 tff(f71,plain,(
% 18.78/6.04 ! [X0 : $int] : ($less(X0,1) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != f1(x01) | f1(f1(x01)) != iter1($product(2,X0),x01) | (iter1(sK0(X0),x01) = iter1($product(2,sK0(X0)),x01) & ~$less(sK0(X0),1) & $less(sK0(X0),X0)))),
% 18.78/6.04 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f70])).
% 18.78/6.04 tff(f82,plain,(
% 18.78/6.04 ( ! [X0 : t1] : (iter1(1,X0) = f1(X0)) )),
% 18.78/6.04 inference(cnf_transformation,[],[f11])).
% 18.78/6.04 tff(f83,plain,(
% 18.78/6.04 ( ! [X0 : $int,X1 : t1] : (iter1(X0,X1) = f1(iter1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )),
% 18.78/6.04 inference(cnf_transformation,[],[f60])).
% 18.78/6.04 tff(f84,plain,(
% 18.78/6.04 ~$less(mu1,0)),
% 18.78/6.04 inference(cnf_transformation,[],[f29])).
% 18.78/6.04 tff(f85,plain,(
% 18.78/6.04 ~$less(lambda1,1)),
% 18.78/6.04 inference(cnf_transformation,[],[f30])).
% 18.78/6.04 tff(f96,plain,(
% 18.78/6.04 ( ! [X0 : $int] : ($less(X0,1) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != f1(x01) | f1(f1(x01)) != iter1($product(2,X0),x01) | $less(sK0(X0),X0)) )),
% 18.78/6.04 inference(cnf_transformation,[],[f71])).
% 18.78/6.05 tff(f97,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(X0,1) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != f1(x01) | f1(f1(x01)) != iter1($product(2,X0),x01) | ~$less(sK0(X0),1)) )),
% 18.78/6.05 inference(cnf_transformation,[],[f71])).
% 18.78/6.05 tff(f100,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : t1] : (iter1(X0,X1) = iter1(1,iter1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )),
% 18.78/6.05 inference(definition_unfolding,[],[f83,f82])).
% 18.78/6.05 tff(f102,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1($product(2,X0),x01) != iter1(1,iter1(1,x01)) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | ~$less(sK0(X0),1)) )),
% 18.78/6.05 inference(definition_unfolding,[],[f97,f82,f82,f82])).
% 18.78/6.05 tff(f103,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1($product(2,X0),x01) != iter1(1,iter1(1,x01)) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | $less(sK0(X0),X0)) )),
% 18.78/6.05 inference(definition_unfolding,[],[f96,f82,f82,f82])).
% 18.78/6.05 tff(f105,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : t1] : (~$less(0,X0) | iter1(X0,X1) = iter1(1,iter1($sum(X0,-1),X1))) )),
% 18.78/6.05 inference(evaluation,[],[f100])).
% 18.78/6.05 tff(f118,definition,(
% 18.78/6.05 spl1_1 <=> $less(sK0(1),1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 18.78/6.05 tff(f119,plain,(
% 18.78/6.05 $less(sK0(1),1) | ~spl1_1),
% 18.78/6.05 inference(avatar_component_clause,[],[f118])).
% 18.78/6.05 tff(f120,plain,(
% 18.78/6.05 ~$less(sK0(1),1) | spl1_1),
% 18.78/6.05 inference(avatar_component_clause,[],[f118])).
% 18.78/6.05 tff(f122,definition,(
% 18.78/6.05 spl1_2 <=> $less($sum(mu1,lambda1),1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 18.78/6.05 tff(f124,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | ~spl1_2),
% 18.78/6.05 inference(avatar_component_clause,[],[f122])).
% 18.78/6.05 tff(f158,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1(1,iter1(1,x01)) != iter1($product(X0,2),x01) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | $less(sK0(X0),X0)) )),
% 18.78/6.05 inference(superposition,[],[f103,f48])).
% 18.78/6.05 tff(f159,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1(1,iter1(1,x01)) != iter1($product(X0,2),x01) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | ~$less(sK0(X0),1)) )),
% 18.78/6.05 inference(superposition,[],[f102,f48])).
% 18.78/6.05 tff(f168,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 18.78/6.05 inference(resolution,[],[f46,f42])).
% 18.78/6.05 tff(f170,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
% 18.78/6.05 inference(superposition,[],[f46,f37])).
% 18.78/6.05 tff(f172,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 18.78/6.05 inference(superposition,[],[f168,f37])).
% 18.78/6.05 tff(f176,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
% 18.78/6.05 inference(superposition,[],[f54,f37])).
% 18.78/6.05 tff(f184,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(0,X0) | $less(X0,1)) )),
% 18.78/6.05 inference(superposition,[],[f170,f39])).
% 18.78/6.05 tff(f199,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (~$less(X0,1) | ~$less(0,X0)) )),
% 18.78/6.05 inference(superposition,[],[f176,f39])).
% 18.78/6.05 tff(f211,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X0)) )),
% 18.78/6.05 inference(resolution,[],[f43,f42])).
% 18.78/6.05 tff(f226,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(X0,1) | ~$less(X0,0)) )),
% 18.78/6.05 inference(resolution,[],[f211,f184])).
% 18.78/6.05 tff(f230,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : (~$less($sum(X1,1),X0) | $less(X1,X0)) )),
% 18.78/6.05 inference(resolution,[],[f211,f46])).
% 18.78/6.05 tff(f231,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : (~$less($sum(1,X1),X0) | $less(X1,X0)) )),
% 18.78/6.05 inference(resolution,[],[f211,f170])).
% 18.78/6.05 tff(f244,plain,(
% 18.78/6.05 ~$less(lambda1,0)),
% 18.78/6.05 inference(resolution,[],[f226,f85])).
% 18.78/6.05 tff(f271,plain,(
% 18.78/6.05 $less(0,mu1) | 0 = mu1),
% 18.78/6.05 inference(resolution,[],[f44,f84])).
% 18.78/6.05 tff(f275,plain,(
% 18.78/6.05 $less(0,lambda1) | 0 = lambda1),
% 18.78/6.05 inference(resolution,[],[f44,f244])).
% 18.78/6.05 tff(f276,plain,(
% 18.78/6.05 $less(1,lambda1) | 1 = lambda1),
% 18.78/6.05 inference(resolution,[],[f44,f85])).
% 18.78/6.05 tff(f289,definition,(
% 18.78/6.05 spl1_7 <=> 1 = lambda1),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition])).
% 18.78/6.05 tff(f291,plain,(
% 18.78/6.05 1 = lambda1 | ~spl1_7),
% 18.78/6.05 inference(avatar_component_clause,[],[f289])).
% 18.78/6.05 tff(f293,definition,(
% 18.78/6.05 spl1_8 <=> $less(1,lambda1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition])).
% 18.78/6.05 tff(f295,plain,(
% 18.78/6.05 $less(1,lambda1) | ~spl1_8),
% 18.78/6.05 inference(avatar_component_clause,[],[f293])).
% 18.78/6.05 tff(f296,plain,(
% 18.78/6.05 spl1_7 | spl1_8),
% 18.78/6.05 inference(avatar_split_clause,[],[f276,f293,f289])).
% 18.78/6.05 tff(f298,definition,(
% 18.78/6.05 spl1_9 <=> 0 = lambda1),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition])).
% 18.78/6.05 tff(f300,plain,(
% 18.78/6.05 0 = lambda1 | ~spl1_9),
% 18.78/6.05 inference(avatar_component_clause,[],[f298])).
% 18.78/6.05 tff(f302,definition,(
% 18.78/6.05 spl1_10 <=> $less(0,lambda1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition])).
% 18.78/6.05 tff(f304,plain,(
% 18.78/6.05 $less(0,lambda1) | ~spl1_10),
% 18.78/6.05 inference(avatar_component_clause,[],[f302])).
% 18.78/6.05 tff(f305,plain,(
% 18.78/6.05 spl1_9 | spl1_10),
% 18.78/6.05 inference(avatar_split_clause,[],[f275,f302,f298])).
% 18.78/6.05 tff(f316,definition,(
% 18.78/6.05 spl1_13 <=> 0 = mu1),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition])).
% 18.78/6.05 tff(f318,plain,(
% 18.78/6.05 0 = mu1 | ~spl1_13),
% 18.78/6.05 inference(avatar_component_clause,[],[f316])).
% 18.78/6.05 tff(f320,definition,(
% 18.78/6.05 spl1_14 <=> $less(0,mu1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition])).
% 18.78/6.05 tff(f322,plain,(
% 18.78/6.05 $less(0,mu1) | ~spl1_14),
% 18.78/6.05 inference(avatar_component_clause,[],[f320])).
% 18.78/6.05 tff(f323,plain,(
% 18.78/6.05 spl1_13 | spl1_14),
% 18.78/6.05 inference(avatar_split_clause,[],[f271,f320,f316])).
% 18.78/6.05 tff(f352,plain,(
% 18.78/6.05 ~$less(0,1) | ~spl1_9),
% 18.78/6.05 inference(superposition,[],[f85,f300])).
% 18.78/6.05 tff(f353,plain,(
% 18.78/6.05 $false | ~spl1_9),
% 18.78/6.05 inference(evaluation,[],[f352])).
% 18.78/6.05 tff(f354,plain,(
% 18.78/6.05 ~spl1_9),
% 18.78/6.05 inference(avatar_contradiction_clause,[],[f353])).
% 18.78/6.05 tff(f463,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(X0,$sum(1,$sum(X0,1)))) )),
% 18.78/6.05 inference(resolution,[],[f230,f172])).
% 18.78/6.05 tff(f471,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(X0,$sum(1,$sum(1,X0)))) )),
% 18.78/6.05 inference(superposition,[],[f463,f37])).
% 18.78/6.05 tff(f528,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(X1,X0)) | ~$less(1,X1)) )),
% 18.78/6.05 inference(resolution,[],[f231,f45])).
% 18.78/6.05 tff(f1016,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : (iter1(1,iter1(1,x01)) != iter1($product(X0,$product(X1,2)),x01) | $less($sum(mu1,lambda1),$product(X0,X1)) | iter1(1,x01) != iter1($product(X0,X1),x01) | $less($product(X0,X1),1) | ~$less(sK0($product(X0,X1)),1)) )),
% 18.78/6.05 inference(superposition,[],[f159,f49])).
% 18.78/6.05 tff(f1017,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : (iter1(1,iter1(1,x01)) != iter1($product(X0,$product(X1,2)),x01) | $less($sum(mu1,lambda1),$product(X0,X1)) | iter1(1,x01) != iter1($product(X0,X1),x01) | $less($product(X0,X1),1) | $less(sK0($product(X0,X1)),$product(X0,X1))) )),
% 18.78/6.05 inference(superposition,[],[f158,f49])).
% 18.78/6.05 tff(f1503,plain,(
% 18.78/6.05 ( ! [X0 : t1] : (iter1($sum(1,$sum(1,0)),X0) = iter1(1,iter1($sum($sum(1,$sum(1,0)),-1),X0))) )),
% 18.78/6.05 inference(resolution,[],[f105,f471])).
% 18.78/6.05 tff(f1505,plain,(
% 18.78/6.05 ( ! [X0 : t1] : (iter1(2,X0) = iter1(1,iter1(1,X0))) )),
% 18.78/6.05 inference(evaluation,[],[f1503])).
% 18.78/6.05 tff(f1543,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : ($less(sK0($product(X0,X1)),$product(X0,X1)) | $less($sum(mu1,lambda1),$product(X0,X1)) | iter1(1,x01) != iter1($product(X0,X1),x01) | $less($product(X0,X1),1) | iter1(2,x01) != iter1($product(X0,$product(X1,2)),x01)) )),
% 18.78/6.05 inference(forward_demodulation,[],[f1017,f1505])).
% 18.78/6.05 tff(f1544,plain,(
% 18.78/6.05 ( ! [X0 : $int,X1 : $int] : ($less($sum(mu1,lambda1),$product(X0,X1)) | iter1(2,x01) != iter1($product(X0,$product(X1,2)),x01) | iter1(1,x01) != iter1($product(X0,X1),x01) | $less($product(X0,X1),1) | ~$less(sK0($product(X0,X1)),1)) )),
% 18.78/6.05 inference(forward_demodulation,[],[f1016,f1505])).
% 18.78/6.05 tff(f1547,definition,(
% 18.78/6.05 spl1_21 <=> $less(mu1,1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition])).
% 18.78/6.05 tff(f1548,plain,(
% 18.78/6.05 $less(mu1,1) | ~spl1_21),
% 18.78/6.05 inference(avatar_component_clause,[],[f1547])).
% 18.78/6.05 tff(f1549,plain,(
% 18.78/6.05 ~$less(mu1,1) | spl1_21),
% 18.78/6.05 inference(avatar_component_clause,[],[f1547])).
% 18.78/6.05 tff(f1570,plain,(
% 18.78/6.05 $less(1,mu1) | 1 = mu1 | spl1_21),
% 18.78/6.05 inference(resolution,[],[f1549,f44])).
% 18.78/6.05 tff(f1573,definition,(
% 18.78/6.05 spl1_25 <=> 1 = mu1),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition])).
% 18.78/6.05 tff(f1575,plain,(
% 18.78/6.05 1 = mu1 | ~spl1_25),
% 18.78/6.05 inference(avatar_component_clause,[],[f1573])).
% 18.78/6.05 tff(f1577,definition,(
% 18.78/6.05 spl1_26 <=> $less(1,mu1)),
% 18.78/6.05 introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition])).
% 18.78/6.05 tff(f1579,plain,(
% 18.78/6.05 $less(1,mu1) | ~spl1_26),
% 18.78/6.05 inference(avatar_component_clause,[],[f1577])).
% 18.78/6.05 tff(f1580,plain,(
% 18.78/6.05 spl1_25 | spl1_26 | spl1_21),
% 18.78/6.05 inference(avatar_split_clause,[],[f1570,f1547,f1577,f1573])).
% 18.78/6.05 tff(f1583,plain,(
% 18.78/6.05 ~$less(0,mu1) | ~spl1_21),
% 18.78/6.05 inference(resolution,[],[f1548,f199])).
% 18.78/6.05 tff(f1587,plain,(
% 18.78/6.05 $false | (~spl1_14 | ~spl1_21)),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f1583,f322])).
% 18.78/6.05 tff(f1588,plain,(
% 18.78/6.05 ~spl1_14 | ~spl1_21),
% 18.78/6.05 inference(avatar_contradiction_clause,[],[f1587])).
% 18.78/6.05 tff(f1647,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less($sum(mu1,lambda1),X0) | iter1(2,x01) != iter1($product(X0,$product(1,2)),x01) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | ~$less(sK0(X0),1)) )),
% 18.78/6.05 inference(superposition,[],[f1544,f50])).
% 18.78/6.05 tff(f1652,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1(2,x01) != iter1($product(X0,2),x01) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | ~$less(sK0(X0),1)) )),
% 18.78/6.05 inference(evaluation,[],[f1647])).
% 18.78/6.05 tff(f2005,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1($product(2,X0),x01) != iter1(2,x01) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | ~$less(sK0(X0),1)) )),
% 18.78/6.05 inference(superposition,[],[f1652,f48])).
% 18.78/6.05 tff(f2094,plain,(
% 18.78/6.05 iter1(2,x01) != iter1(2,x01) | $less($sum(mu1,lambda1),1) | iter1(1,x01) != iter1(1,x01) | $less(1,1) | ~$less(sK0(1),1)),
% 18.78/6.05 inference(superposition,[],[f2005,f50])).
% 18.78/6.05 tff(f2098,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | $less(1,1) | ~$less(sK0(1),1)),
% 18.78/6.05 inference(trivial_inequality_removal,[],[f2094])).
% 18.78/6.05 tff(f2099,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | ~$less(sK0(1),1)),
% 18.78/6.05 inference(evaluation,[],[f2098])).
% 18.78/6.05 tff(f2261,plain,(
% 18.78/6.05 ( ! [X0 : $int] : ($less(sK0(X0),X0) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | iter1(2,x01) != iter1($product(X0,$product(1,2)),x01)) )),
% 18.78/6.05 inference(superposition,[],[f1543,f50])).
% 18.78/6.05 tff(f2266,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1(2,x01) != iter1($product(X0,2),x01) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | $less(sK0(X0),X0)) )),
% 18.78/6.05 inference(evaluation,[],[f2261])).
% 18.78/6.05 tff(f2270,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (iter1($product(2,X0),x01) != iter1(2,x01) | $less($sum(mu1,lambda1),X0) | iter1(X0,x01) != iter1(1,x01) | $less(X0,1) | $less(sK0(X0),X0)) )),
% 18.78/6.05 inference(superposition,[],[f2266,f48])).
% 18.78/6.05 tff(f2272,plain,(
% 18.78/6.05 iter1(2,x01) != iter1(2,x01) | $less($sum(mu1,lambda1),1) | iter1(1,x01) != iter1(1,x01) | $less(1,1) | $less(sK0(1),1)),
% 18.78/6.05 inference(superposition,[],[f2270,f50])).
% 18.78/6.05 tff(f2276,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | $less(1,1) | $less(sK0(1),1)),
% 18.78/6.05 inference(trivial_inequality_removal,[],[f2272])).
% 18.78/6.05 tff(f2277,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | $less(sK0(1),1)),
% 18.78/6.05 inference(evaluation,[],[f2276])).
% 18.78/6.05 tff(f2278,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | spl1_1),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f2277,f120])).
% 18.78/6.05 tff(f2279,plain,(
% 18.78/6.05 spl1_2 | spl1_1),
% 18.78/6.05 inference(avatar_split_clause,[],[f2278,f118,f122])).
% 18.78/6.05 tff(f2297,plain,(
% 18.78/6.05 $less($sum(mu1,lambda1),1) | ~spl1_1),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f2099,f119])).
% 18.78/6.05 tff(f2300,plain,(
% 18.78/6.05 spl1_2 | ~spl1_1),
% 18.78/6.05 inference(avatar_split_clause,[],[f2297,f118,f122])).
% 18.78/6.05 tff(f2336,plain,(
% 18.78/6.05 ~$less(0,$sum(mu1,lambda1)) | ~spl1_2),
% 18.78/6.05 inference(resolution,[],[f124,f199])).
% 18.78/6.05 tff(f2338,plain,(
% 18.78/6.05 ~$less(1,$sum(mu1,lambda1)) | ~spl1_2),
% 18.78/6.05 inference(resolution,[],[f124,f211])).
% 18.78/6.05 tff(f2423,plain,(
% 18.78/6.05 ~$less(0,$sum(0,lambda1)) | (~spl1_2 | ~spl1_13)),
% 18.78/6.05 inference(forward_demodulation,[],[f2336,f318])).
% 18.78/6.05 tff(f2424,plain,(
% 18.78/6.05 ~$less(0,lambda1) | (~spl1_2 | ~spl1_13)),
% 18.78/6.05 inference(evaluation,[],[f2423])).
% 18.78/6.05 tff(f2440,plain,(
% 18.78/6.05 $false | (~spl1_2 | ~spl1_10 | ~spl1_13)),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f2424,f304])).
% 18.78/6.05 tff(f2441,plain,(
% 18.78/6.05 ~spl1_2 | ~spl1_10 | ~spl1_13),
% 18.78/6.05 inference(avatar_contradiction_clause,[],[f2440])).
% 18.78/6.05 tff(f2483,plain,(
% 18.78/6.05 $less($sum(mu1,1),1) | (~spl1_2 | ~spl1_7)),
% 18.78/6.05 inference(superposition,[],[f124,f291])).
% 18.78/6.05 tff(f2519,plain,(
% 18.78/6.05 $less($sum(1,mu1),1) | (~spl1_2 | ~spl1_7)),
% 18.78/6.05 inference(forward_demodulation,[],[f2483,f37])).
% 18.78/6.05 tff(f2527,plain,(
% 18.78/6.05 ~$less(0,$sum(1,lambda1)) | (~spl1_2 | ~spl1_25)),
% 18.78/6.05 inference(forward_demodulation,[],[f2336,f1575])).
% 18.78/6.05 tff(f2547,plain,(
% 18.78/6.05 $less(lambda1,0) | (~spl1_2 | ~spl1_25)),
% 18.78/6.05 inference(resolution,[],[f2527,f170])).
% 18.78/6.05 tff(f2561,plain,(
% 18.78/6.05 $false | (~spl1_2 | ~spl1_25)),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f2547,f244])).
% 18.78/6.05 tff(f2562,plain,(
% 18.78/6.05 ~spl1_2 | ~spl1_25),
% 18.78/6.05 inference(avatar_contradiction_clause,[],[f2561])).
% 18.78/6.05 tff(f2586,plain,(
% 18.78/6.05 $less(mu1,1) | (~spl1_2 | ~spl1_7)),
% 18.78/6.05 inference(resolution,[],[f2519,f231])).
% 18.78/6.05 tff(f2592,plain,(
% 18.78/6.05 $false | (~spl1_2 | ~spl1_7 | spl1_21)),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f2586,f1549])).
% 18.78/6.05 tff(f2593,plain,(
% 18.78/6.05 ~spl1_2 | ~spl1_7 | spl1_21),
% 18.78/6.05 inference(avatar_contradiction_clause,[],[f2592])).
% 18.78/6.05 tff(f2637,plain,(
% 18.78/6.05 ( ! [X0 : $int] : (~$less(X0,$sum(mu1,lambda1)) | ~$less(1,X0)) ) | ~spl1_2),
% 18.78/6.05 inference(resolution,[],[f2338,f43])).
% 18.78/6.05 tff(f3465,plain,(
% 18.78/6.05 ~$less(1,lambda1) | ~$less(1,mu1) | ~spl1_2),
% 18.78/6.05 inference(resolution,[],[f2637,f528])).
% 18.78/6.05 tff(f3479,plain,(
% 18.78/6.05 ~$less(1,mu1) | (~spl1_2 | ~spl1_8)),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f3465,f295])).
% 18.78/6.05 tff(f3481,plain,(
% 18.78/6.05 $false | (~spl1_2 | ~spl1_8 | ~spl1_26)),
% 18.78/6.05 inference(forward_subsumption_resolution,[],[f3479,f1579])).
% 18.78/6.05 tff(f3482,plain,(
% 18.78/6.05 ~spl1_2 | ~spl1_8 | ~spl1_26),
% 18.78/6.05 inference(avatar_contradiction_clause,[],[f3481])).
% 18.78/6.05 cnf(s5, plain, spl1_7 | spl1_8, inference(sat_conversion,[],[f296])).
% 18.78/6.05 cnf(s6, plain, spl1_9 | spl1_10, inference(sat_conversion,[],[f305])).
% 18.78/6.05 cnf(s8, plain, spl1_13 | spl1_14, inference(sat_conversion,[],[f323])).
% 18.78/6.05 cnf(s13, plain, ~spl1_9, inference(sat_conversion,[],[f354])).
% 18.78/6.05 cnf(s30, plain, spl1_21 | spl1_25 | spl1_26, inference(sat_conversion,[],[f1580])).
% 18.78/6.05 cnf(s33, plain, ~spl1_14 | ~spl1_21, inference(sat_conversion,[],[f1588])).
% 18.78/6.05 cnf(s60, plain, spl1_1 | spl1_2, inference(sat_conversion,[],[f2279])).
% 18.78/6.05 cnf(s65, plain, ~spl1_1 | spl1_2, inference(sat_conversion,[],[f2300])).
% 18.78/6.05 cnf(s74, plain, ~spl1_2 | ~spl1_10 | ~spl1_13, inference(sat_conversion,[],[f2441])).
% 18.78/6.05 cnf(s81, plain, ~spl1_2 | ~spl1_25, inference(sat_conversion,[],[f2562])).
% 18.78/6.05 cnf(s83, plain, ~spl1_2 | ~spl1_7 | spl1_21, inference(sat_conversion,[],[f2593])).
% 18.78/6.05 cnf(s172, plain, ~spl1_2 | ~spl1_8 | ~spl1_26, inference(sat_conversion,[],[f3482])).
% 18.78/6.05 cnf(s183, plain, spl1_10, inference(rat,[],[s6,s13])).
% 18.78/6.05 cnf(s185, plain, ~spl1_2, inference(rat,[],[s5,s172,s83,s30,s33,s8,s74,s81,s183])).
% 18.78/6.05 cnf(s186, plain, ~spl1_1, inference(rat,[],[s65,s185])).
% 18.78/6.05 cnf(s188, plain, $false, inference(rat,[],[s60,s185,s186])).
% 18.78/6.05 tff(f3483,plain,(
% 18.78/6.05 $false),
% 18.78/6.05 inference(avatar_sat_refutation,[],[s188])).
% 18.78/6.05 % SZS output end Proof for theBenchmark
% 18.78/6.05 % (383134)------------------------------
% 18.78/6.05 % (383134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.05 % (383134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.05 % (383134)CaDiCaL version: 2.1.3
% 18.78/6.05 % (383134)Termination reason: Refutation
% 18.78/6.05 % (383134)Time elapsed: 0.129 s
% 18.78/6.05 % (383134)Peak memory usage: 14 MB
% 18.78/6.05 % (383134)Instructions burned: 193 (million)
% 18.78/6.05 % (383048)Success in time 5.81 s
% 18.78/6.05 % Vampire exiting
%------------------------------------------------------------------------------