%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT042_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:48:01 AM UTC 2026
% Result : Theorem 17.93s 3.03s
% Output : Refutation 17.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT042_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n004.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 00:06:07 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.62/0.93 % (913824)Will run a generic schedule for satisfiability detection.
% 4.62/0.93 % (913838)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2423783297:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.62/0.93 % (913835)% WARNING: option uhcvi not known.
% 4.62/0.93 % (913834)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2990484170_2999 on theBenchmark for (2999ds/0Mi)
% 4.62/0.93 % (913835)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=868335750:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.62/0.93 % (913837)dis+10_1_sil=32000:sp=arity:random_seed=3546172683:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.62/0.93 % (913836)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3018758832:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.62/0.93 % (913839)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=375435233:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.62/0.93 % (913840)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2693596173:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.62/0.93 % (913834)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.62/0.93 % (913834)Terminated due to inappropriate strategy.
% 4.62/0.93 % (913834)------------------------------
% 4.62/0.93 % (913834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.62/0.93 % (913834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/0.93 % (913834)CaDiCaL version: 2.1.3
% 4.62/0.93 % (913834)Termination reason: Inappropriate
% 4.62/0.93 % (913834)Time elapsed: 0.001 s
% 4.62/0.93 % (913834)Peak memory usage: 10 MB
% 4.62/0.93 % (913834)Instructions burned: 1 (million)
% 4.62/0.93 % (913834)------------------------------
% 4.62/0.93 % (913834)------------------------------
% 4.62/0.93 % (913857)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3396694636:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.62/0.93 % (913857)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.62/0.93 % (913857)Terminated due to inappropriate strategy.
% 4.62/0.93 % (913857)------------------------------
% 4.62/0.93 % (913857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.62/0.93 % (913857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/0.93 % (913857)CaDiCaL version: 2.1.3
% 4.62/0.93 % (913857)Termination reason: Inappropriate
% 4.62/0.93 % (913857)Time elapsed: 0.001 s
% 4.62/0.93 % (913857)Peak memory usage: 10 MB
% 4.62/0.93 % (913857)Instructions burned: 1 (million)
% 4.62/0.93 % (913857)------------------------------
% 4.62/0.93 % (913857)------------------------------
% 4.62/0.93 % (913838)Instruction limit reached!
% 4.62/0.93 % (913838)------------------------------
% 4.62/0.93 % (913838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.62/0.93 % (913838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/0.93 % (913838)CaDiCaL version: 2.1.3
% 4.62/0.93 % (913838)Termination reason: Instruction limit
% 4.62/0.93 % (913838)Termination phase: Saturation
% 4.62/0.93 % (913838)Time elapsed: 0.037 s
% 4.62/0.93 % (913838)Peak memory usage: 12 MB
% 4.62/0.93 % (913838)Instructions burned: 116 (million)
% 4.62/0.93 % (913872)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=315560677:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.62/0.93 % (913869)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=478616405:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.62/0.93 % (913837)Instruction limit reached!
% 4.62/0.93 % (913837)------------------------------
% 4.62/0.93 % (913837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.62/0.93 % (913837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/0.93 % (913837)CaDiCaL version: 2.1.3
% 4.62/0.93 % (913837)Termination reason: Instruction limit
% 4.62/0.93 % (913837)Termination phase: Saturation
% 4.62/0.93 % (913837)Time elapsed: 0.061 s
% 4.62/0.93 % (913837)Peak memory usage: 12 MB
% 4.62/0.93 % (913837)Instructions burned: 103 (million)
% 4.62/0.93 % (913839)Instruction limit reached!
% 4.62/0.93 % (913839)------------------------------
% 4.62/0.93 % (913839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.39 % (913839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.39 % (913839)CaDiCaL version: 2.1.3
% 7.58/1.39 % (913839)Termination reason: Instruction limit
% 7.58/1.39 % (913839)Termination phase: Saturation
% 7.58/1.39 % (913839)Time elapsed: 0.079 s
% 7.58/1.39 % (913839)Peak memory usage: 13 MB
% 7.58/1.39 % (913839)Instructions burned: 131 (million)
% 7.58/1.39 % (913893)ott-21_1_sil=16000:fs=off:random_seed=3355978850:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 7.58/1.39 % (913900)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1574639299:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.58/1.39 % (913840)Instruction limit reached!
% 7.58/1.39 % (913840)------------------------------
% 7.58/1.39 % (913840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.39 % (913840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.39 % (913840)CaDiCaL version: 2.1.3
% 7.58/1.39 % (913840)Termination reason: Instruction limit
% 7.58/1.39 % (913840)Termination phase: Saturation
% 7.58/1.39 % (913840)Time elapsed: 0.101 s
% 7.58/1.39 % (913840)Peak memory usage: 13 MB
% 7.58/1.39 % (913840)Instructions burned: 159 (million)
% 7.58/1.39 % (913903)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3093357138:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.58/1.39 % (913903)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.58/1.39 % (913903)Terminated due to inappropriate strategy.
% 7.58/1.39 % (913903)------------------------------
% 7.58/1.39 % (913903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.39 % (913903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.39 % (913903)CaDiCaL version: 2.1.3
% 7.58/1.39 % (913903)Termination reason: Inappropriate
% 7.58/1.39 % (913903)Time elapsed: 0.0000 s
% 7.58/1.39 % (913903)Peak memory usage: 10 MB
% 7.58/1.39 % (913903)------------------------------
% 7.58/1.39 % (913903)------------------------------
% 7.58/1.39 % (913869)Instruction limit reached!
% 7.58/1.39 % (913869)------------------------------
% 7.58/1.39 % (913869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.39 % (913869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.39 % (913869)CaDiCaL version: 2.1.3
% 7.58/1.39 % (913869)Termination reason: Instruction limit
% 7.58/1.39 % (913869)Termination phase: Saturation
% 7.58/1.39 % (913869)Time elapsed: 0.087 s
% 7.58/1.39 % (913869)Peak memory usage: 12 MB
% 7.58/1.39 % (913869)Instructions burned: 132 (million)
% 7.58/1.39 % (913910)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2822474469:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.58/1.39 % (913912)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=911072839:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.58/1.39 % (913912)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.58/1.39 % (913912)Terminated due to inappropriate strategy.
% 7.58/1.39 % (913912)------------------------------
% 7.58/1.39 % (913912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.39 % (913912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.39 % (913912)CaDiCaL version: 2.1.3
% 7.58/1.39 % (913912)Termination reason: Inappropriate
% 7.58/1.39 % (913912)Time elapsed: 0.001 s
% 7.58/1.39 % (913912)Peak memory usage: 10 MB
% 7.58/1.39 % (913912)Instructions burned: 1 (million)
% 7.58/1.39 % (913912)------------------------------
% 7.58/1.39 % (913912)------------------------------
% 7.58/1.39 % (913922)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=2462215111: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)
% 7.58/1.39 % (913893)Instruction limit reached!
% 7.58/1.39 % (913893)------------------------------
% 7.58/1.39 % (913893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.58/1.39 % (913893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.58/1.39 % (913893)CaDiCaL version: 2.1.3
% 7.58/1.39 % (913893)Termination reason: Instruction limit
% 7.58/1.39 % (913893)Termination phase: Saturation
% 7.58/1.39 % (913893)Time elapsed: 0.093 s
% 7.58/1.39 % (913893)Peak memory usage: 12 MB
% 7.58/1.39 % (913893)Instructions burned: 182 (million)
% 7.58/1.39 % (913928)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1435686567:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.93/3.03 % (913872)Instruction limit reached!
% 17.93/3.03 % (913872)------------------------------
% 17.93/3.03 % (913872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913872)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913872)Termination reason: Instruction limit
% 17.93/3.03 % (913872)Termination phase: Saturation
% 17.93/3.03 % (913872)Time elapsed: 0.191 s
% 17.93/3.03 % (913872)Peak memory usage: 16 MB
% 17.93/3.03 % (913872)Instructions burned: 684 (million)
% 17.93/3.03 % (913946)fmb+10_1_sil=64000:random_seed=2303841275:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.93/3.03 % (913946)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (913946)Terminated due to inappropriate strategy.
% 17.93/3.03 % (913946)------------------------------
% 17.93/3.03 % (913946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913946)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913946)Termination reason: Inappropriate
% 17.93/3.03 % (913946)Time elapsed: 0.0000 s
% 17.93/3.03 % (913946)Peak memory usage: 10 MB
% 17.93/3.03 % (913946)Instructions burned: 1 (million)
% 17.93/3.03 % (913946)------------------------------
% 17.93/3.03 % (913946)------------------------------
% 17.93/3.03 % (913948)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1498160857:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.93/3.03 % (913948)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (913948)Terminated due to inappropriate strategy.
% 17.93/3.03 % (913948)------------------------------
% 17.93/3.03 % (913948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913948)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913948)Termination reason: Inappropriate
% 17.93/3.03 % (913948)Time elapsed: 0.0000 s
% 17.93/3.03 % (913948)Peak memory usage: 10 MB
% 17.93/3.03 % (913948)Instructions burned: 1 (million)
% 17.93/3.03 % (913948)------------------------------
% 17.93/3.03 % (913948)------------------------------
% 17.93/3.03 % (913954)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2090310987:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 17.93/3.03 % (913954)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (913954)Terminated due to inappropriate strategy.
% 17.93/3.03 % (913954)------------------------------
% 17.93/3.03 % (913954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913954)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913954)Termination reason: Inappropriate
% 17.93/3.03 % (913954)Time elapsed: 0.0000 s
% 17.93/3.03 % (913954)Peak memory usage: 10 MB
% 17.93/3.03 % (913954)Instructions burned: 1 (million)
% 17.93/3.03 % (913954)------------------------------
% 17.93/3.03 % (913954)------------------------------
% 17.93/3.03 % (913958)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2634336142:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 17.93/3.03 % (913900)Instruction limit reached!
% 17.93/3.03 % (913900)------------------------------
% 17.93/3.03 % (913900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913900)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913900)Termination reason: Instruction limit
% 17.93/3.03 % (913900)Termination phase: Saturation
% 17.93/3.03 % (913900)Time elapsed: 0.298 s
% 17.93/3.03 % (913900)Peak memory usage: 14 MB
% 17.93/3.03 % (913900)Instructions burned: 477 (million)
% 17.93/3.03 % (913992)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3400227348:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 17.93/3.03 % (913922)Instruction limit reached!
% 17.93/3.03 % (913922)------------------------------
% 17.93/3.03 % (913922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913922)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913922)Termination reason: Instruction limit
% 17.93/3.03 % (913922)Termination phase: Saturation
% 17.93/3.03 % (913922)Time elapsed: 0.512 s
% 17.93/3.03 % (913922)Peak memory usage: 18 MB
% 17.93/3.03 % (913922)Instructions burned: 693 (million)
% 17.93/3.03 % (914078)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=767440040:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 17.93/3.03 % (914078)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (914078)Terminated due to inappropriate strategy.
% 17.93/3.03 % (914078)------------------------------
% 17.93/3.03 % (914078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914078)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914078)Termination reason: Inappropriate
% 17.93/3.03 % (914078)Time elapsed: 0.001 s
% 17.93/3.03 % (914078)Peak memory usage: 10 MB
% 17.93/3.03 % (914078)Instructions burned: 1 (million)
% 17.93/3.03 % (914078)------------------------------
% 17.93/3.03 % (914078)------------------------------
% 17.93/3.03 % (913928)Instruction limit reached!
% 17.93/3.03 % (913928)------------------------------
% 17.93/3.03 % (913928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913928)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913928)Termination reason: Instruction limit
% 17.93/3.03 % (913928)Termination phase: Saturation
% 17.93/3.03 % (913928)Time elapsed: 0.518 s
% 17.93/3.03 % (913928)Peak memory usage: 17 MB
% 17.93/3.03 % (913928)Instructions burned: 880 (million)
% 17.93/3.03 % (914083)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2275305762:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 17.93/3.03 % (914083)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (914083)Terminated due to inappropriate strategy.
% 17.93/3.03 % (914083)------------------------------
% 17.93/3.03 % (914083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914083)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914083)Termination reason: Inappropriate
% 17.93/3.03 % (914083)Time elapsed: 0.001 s
% 17.93/3.03 % (914083)Peak memory usage: 10 MB
% 17.93/3.03 % (914083)Instructions burned: 1 (million)
% 17.93/3.03 % (914083)------------------------------
% 17.93/3.03 % (914083)------------------------------
% 17.93/3.03 % (914087)ott-2_1_sil=16000:newcnf=on:random_seed=4294607371:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 17.93/3.03 % (914095)ott+10_1_sil=32000:tgt=ground:random_seed=2040787802:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 17.93/3.03 % (913910)Instruction limit reached!
% 17.93/3.03 % (913910)------------------------------
% 17.93/3.03 % (913910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913910)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913910)Termination reason: Instruction limit
% 17.93/3.03 % (913910)Termination phase: Saturation
% 17.93/3.03 % (913910)Time elapsed: 0.752 s
% 17.93/3.03 % (913910)Peak memory usage: 18 MB
% 17.93/3.03 % (913910)Instructions burned: 1180 (million)
% 17.93/3.03 % (914118)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3456359283:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 17.93/3.03 % (914118)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (914118)Terminated due to inappropriate strategy.
% 17.93/3.03 % (914118)------------------------------
% 17.93/3.03 % (914118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914118)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914118)Termination reason: Inappropriate
% 17.93/3.03 % (914118)Time elapsed: 0.001 s
% 17.93/3.03 % (914118)Peak memory usage: 10 MB
% 17.93/3.03 % (914118)Instructions burned: 1 (million)
% 17.93/3.03 % (914118)------------------------------
% 17.93/3.03 % (914118)------------------------------
% 17.93/3.03 % (914120)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1274906932:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 17.93/3.03 % (913992)Instruction limit reached!
% 17.93/3.03 % (913992)------------------------------
% 17.93/3.03 % (913992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913992)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913992)Termination reason: Instruction limit
% 17.93/3.03 % (913992)Termination phase: Saturation
% 17.93/3.03 % (913992)Time elapsed: 0.734 s
% 17.93/3.03 % (913992)Peak memory usage: 26 MB
% 17.93/3.03 % (913992)Instructions burned: 1473 (million)
% 17.93/3.03 % (914169)dis+21_1_sil=32000:sas=cadical:random_seed=2343439685:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 17.93/3.03 % (914087)Instruction limit reached!
% 17.93/3.03 % (914087)------------------------------
% 17.93/3.03 % (914087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914087)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914087)Termination reason: Instruction limit
% 17.93/3.03 % (914087)Termination phase: Saturation
% 17.93/3.03 % (914087)Time elapsed: 0.501 s
% 17.93/3.03 % (914087)Peak memory usage: 16 MB
% 17.93/3.03 % (914087)Instructions burned: 869 (million)
% 17.93/3.03 % (914171)ott+11_1_sil=16000:gs=on:random_seed=2178742353:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 17.93/3.03 % (913958)Instruction limit reached!
% 17.93/3.03 % (913958)------------------------------
% 17.93/3.03 % (913958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (913958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (913958)CaDiCaL version: 2.1.3
% 17.93/3.03 % (913958)Termination reason: Instruction limit
% 17.93/3.03 % (913958)Termination phase: Saturation
% 17.93/3.03 % (913958)Time elapsed: 1.477 s
% 17.93/3.03 % (913958)Peak memory usage: 40 MB
% 17.93/3.03 % (913958)Instructions burned: 5132 (million)
% 17.93/3.03 % (914173)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1984311420:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 17.93/3.03 % (914173)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.93/3.03 % (914173)Terminated due to inappropriate strategy.
% 17.93/3.03 % (914173)------------------------------
% 17.93/3.03 % (914173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914173)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914173)Termination reason: Inappropriate
% 17.93/3.03 % (914173)Time elapsed: 0.0000 s
% 17.93/3.03 % (914173)Peak memory usage: 10 MB
% 17.93/3.03 % (914173)Instructions burned: 1 (million)
% 17.93/3.03 % (914173)------------------------------
% 17.93/3.03 % (914173)------------------------------
% 17.93/3.03 % (914175)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4278649803:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 17.93/3.03 % (914171)Instruction limit reached!
% 17.93/3.03 % (914171)------------------------------
% 17.93/3.03 % (914171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914171)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914171)Termination reason: Instruction limit
% 17.93/3.03 % (914171)Termination phase: Saturation
% 17.93/3.03 % (914171)Time elapsed: 1.116 s
% 17.93/3.03 % (914171)Peak memory usage: 22 MB
% 17.93/3.03 % (914171)Instructions burned: 2252 (million)
% 17.93/3.03 % (914177)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=267637017:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 17.93/3.03 % (914120)Instruction limit reached!
% 17.93/3.03 % (914120)------------------------------
% 17.93/3.03 % (914120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914120)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914120)Termination reason: Instruction limit
% 17.93/3.03 % (914120)Termination phase: Saturation
% 17.93/3.03 % (914120)Time elapsed: 1.830 s
% 17.93/3.03 % (914120)Peak memory usage: 29 MB
% 17.93/3.03 % (914120)Instructions burned: 3513 (million)
% 17.93/3.03 % (914177) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-913824-914177"...
% 17.93/3.03 % (914177)...printing done.
% 17.93/3.03 % (914177)Refutation found. Thanks to Tanya!
% 17.93/3.03 % SZS status Theorem for theBenchmark
% 17.93/3.03 % SZS output start Proof for theBenchmark
% 17.93/3.03 tff(type_def_5, type, collection: $tType).
% 17.93/3.03 tff(func_def_0, type, empty: collection).
% 17.93/3.03 tff(func_def_1, type, add: ($int * collection) > collection).
% 17.93/3.03 tff(func_def_2, type, remove: ($int * collection) > collection).
% 17.93/3.03 tff(func_def_3, type, count: collection > $int).
% 17.93/3.03 tff(pred_def_1, type, in: ($int * collection) > $o).
% 17.93/3.03 tff(f1,axiom,(
% 17.93/3.03 ! [X0 : $int] : ~in(X0,empty)),
% 17.93/3.03 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax1)).
% 17.93/3.03 tff(f4,axiom,(
% 17.93/3.03 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))),
% 17.93/3.03 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax4)).
% 17.93/3.03 tff(f7,axiom,(
% 17.93/3.03 ! [X0 : collection] : (X0 = empty <=> count(X0) = 0)),
% 17.93/3.03 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax2)).
% 17.93/3.03 tff(f8,axiom,(
% 17.93/3.03 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(add(X0,X1)) = $sum(count(X1),1))),
% 17.93/3.03 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax3)).
% 17.93/3.03 tff(f9,axiom,(
% 17.93/3.03 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(add(X0,X1)) = count(X1))),
% 17.93/3.03 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002=1.ax',ax4)).
% 17.93/3.03 tff(f13,conjecture,(
% 17.93/3.03 ? [X0 : collection] : count(X0) = 3),
% 17.93/3.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 17.93/3.03 tff(f14,negated_conjecture,(
% 17.93/3.03 ~ ? [X0 : collection] : count(X0) = 3),
% 17.93/3.03 inference(negated_conjecture,[status(cth)],[f13])).
% 17.93/3.03 tff(f17,definition,(
% 17.93/3.03 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 17.93/3.03 introduced(theory,[tha_commutativity])).
% 17.93/3.03 tff(f30,plain,(
% 17.93/3.03 ! [X0 : collection] : count(X0) != 3),
% 17.93/3.03 inference(ennf_transformation,[],[f14])).
% 17.93/3.03 tff(f31,plain,(
% 17.93/3.03 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) | X0 = X2) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
% 17.93/3.03 inference(nnf_transformation,[],[f4])).
% 17.93/3.03 tff(f32,plain,(
% 17.93/3.03 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2 | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
% 17.93/3.03 inference(flattening,[],[f31])).
% 17.93/3.03 tff(f35,plain,(
% 17.93/3.03 ! [X0 : collection] : ((X0 = empty | count(X0) != 0) & (count(X0) = 0 | empty != X0))),
% 17.93/3.03 inference(nnf_transformation,[],[f7])).
% 17.93/3.03 tff(f36,plain,(
% 17.93/3.03 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(add(X0,X1)) != $sum(count(X1),1)) & (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)))),
% 17.93/3.03 inference(nnf_transformation,[],[f8])).
% 17.93/3.03 tff(f37,plain,(
% 17.93/3.03 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(add(X0,X1)) != count(X1)) & (count(add(X0,X1)) = count(X1) | ~in(X0,X1)))),
% 17.93/3.03 inference(nnf_transformation,[],[f9])).
% 17.93/3.03 tff(f40,plain,(
% 17.93/3.03 ( ! [X0 : $int] : (~in(X0,empty)) )),
% 17.93/3.03 inference(cnf_transformation,[],[f1])).
% 17.93/3.03 tff(f45,plain,(
% 17.93/3.03 ( ! [X2 : $int,X0 : $int,X1 : collection] : (~in(X0,add(X2,X1)) | X0 = X2 | in(X0,X1)) )),
% 17.93/3.03 inference(cnf_transformation,[],[f32])).
% 17.93/3.03 tff(f50,plain,(
% 17.93/3.03 ( ! [X0 : collection] : (count(X0) = 0 | empty != X0) )),
% 17.93/3.03 inference(cnf_transformation,[],[f35])).
% 17.93/3.03 tff(f52,plain,(
% 17.93/3.03 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)) )),
% 17.93/3.03 inference(cnf_transformation,[],[f36])).
% 17.93/3.03 tff(f55,plain,(
% 17.93/3.03 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) != count(X1) | in(X0,X1)) )),
% 17.93/3.03 inference(cnf_transformation,[],[f37])).
% 17.93/3.03 tff(f61,plain,(
% 17.93/3.03 ( ! [X0 : collection] : (count(X0) != 3) )),
% 17.93/3.03 inference(cnf_transformation,[],[f30])).
% 17.93/3.03 tff(f64,plain,(
% 17.93/3.03 0 = count(empty)),
% 17.93/3.03 inference(equality_resolution,[],[f50])).
% 17.93/3.03 tff(f4542,plain,(
% 17.93/3.03 ( ! [X0 : $int] : (count(empty) != count(add(X0,empty))) )),
% 17.93/3.03 inference(unit_resulting_resolution,[],[f55,f40])).
% 17.93/3.03 tff(f4547,plain,(
% 17.93/3.03 ( ! [X0 : $int] : (0 != count(add(X0,empty))) )),
% 17.93/3.03 inference(forward_demodulation,[],[f4542,f64])).
% 17.93/3.03 tff(f18236,plain,(
% 17.93/3.03 ( ! [X0 : collection] : (~in(count(X0),add(3,empty))) )),
% 17.93/3.03 inference(unit_resulting_resolution,[],[f45,f40,f61])).
% 17.93/3.03 tff(f18283,plain,(
% 17.93/3.03 ( ! [X0 : $int] : (~in(count(add(X0,empty)),add(0,add(3,empty)))) )),
% 17.93/3.03 inference(unit_resulting_resolution,[],[f45,f4547,f18236])).
% 17.93/3.03 tff(f18290,plain,(
% 17.93/3.03 ~in(0,add(3,empty))),
% 17.93/3.03 inference(superposition,[],[f18236,f64])).
% 17.93/3.03 tff(f19522,plain,(
% 17.93/3.03 ( ! [X0 : $int,X1 : collection] : (in(X0,X1) | count(add(X0,X1)) = $sum(1,count(X1))) )),
% 17.93/3.03 inference(forward_demodulation,[],[f52,f17])).
% 17.93/3.03 tff(f22838,plain,(
% 17.93/3.03 count(add(0,add(3,empty))) = $sum(1,count(add(3,empty)))),
% 17.93/3.03 inference(unit_resulting_resolution,[],[f19522,f18290])).
% 17.93/3.03 tff(f23009,plain,(
% 17.93/3.03 ( ! [X0 : $int] : ($sum(1,count(empty)) = count(add(X0,empty))) )),
% 17.93/3.03 inference(resolution,[],[f19522,f40])).
% 17.93/3.03 tff(f23238,plain,(
% 17.93/3.03 ( ! [X0 : $int] : ($sum(1,0) = count(add(X0,empty))) )),
% 17.93/3.03 inference(forward_demodulation,[],[f23009,f64])).
% 17.93/3.03 tff(f23239,plain,(
% 17.93/3.03 ( ! [X0 : $int] : (1 = count(add(X0,empty))) )),
% 17.93/3.03 inference(evaluation,[],[f23238])).
% 17.93/3.03 tff(f26290,plain,(
% 17.93/3.03 ~in(1,add(0,add(3,empty)))),
% 17.93/3.03 inference(superposition,[],[f18283,f23239])).
% 17.93/3.03 tff(f26996,plain,(
% 17.93/3.03 $sum(1,count(add(0,add(3,empty)))) = count(add(1,add(0,add(3,empty))))),
% 17.93/3.03 inference(resolution,[],[f26290,f19522])).
% 17.93/3.03 tff(f26999,plain,(
% 17.93/3.03 $sum(1,$sum(1,count(add(3,empty)))) = count(add(1,add(0,add(3,empty))))),
% 17.93/3.03 inference(forward_demodulation,[],[f26996,f22838])).
% 17.93/3.03 tff(f27006,plain,(
% 17.93/3.03 $sum(1,$sum(1,1)) = count(add(1,add(0,add(3,empty))))),
% 17.93/3.03 inference(forward_demodulation,[],[f26999,f23239])).
% 17.93/3.03 tff(f27007,plain,(
% 17.93/3.03 3 = count(add(1,add(0,add(3,empty))))),
% 17.93/3.03 inference(evaluation,[],[f27006])).
% 17.93/3.03 tff(f27016,plain,(
% 17.93/3.03 $false),
% 17.93/3.03 inference(forward_subsumption_resolution,[],[f27007,f61])).
% 17.93/3.03 % SZS output end Proof for theBenchmark
% 17.93/3.03 % (914177)------------------------------
% 17.93/3.03 % (914177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (914177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (914177)CaDiCaL version: 2.1.3
% 17.93/3.03 % (914177)Termination reason: Refutation
% 17.93/3.03 % (914177)Time elapsed: 0.386 s
% 17.93/3.03 % (914177)Peak memory usage: 16 MB
% 17.93/3.03 % (914177)Instructions burned: 742 (million)
% 17.93/3.03 % (913824)Success in time 2.821 s
% 17.93/3.03 % Vampire exiting
%------------------------------------------------------------------------------