%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI726_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:08 AM UTC 2026
% Result : Theorem 17.54s 2.87s
% Output : Refutation 17.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI726_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.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 20:56:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 3.82/0.81 % (4020277)Will run a generic schedule for satisfiability detection.
% 3.82/0.81 % (4020286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3691568507:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.82/0.81 % (4020283)% WARNING: option uhcvi not known.
% 3.82/0.81 % (4020283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1490214580:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.82/0.81 % (4020282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=900516227_2999 on theBenchmark for (2999ds/0Mi)
% 3.82/0.81 % (4020284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=5348226:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.82/0.81 % (4020285)dis+10_1_sil=32000:sp=arity:random_seed=3828142761:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.82/0.81 % (4020287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3504063487:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.82/0.81 % (4020282)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.82/0.81 % (4020282)Terminated due to inappropriate strategy.
% 3.82/0.81 % (4020282)------------------------------
% 3.82/0.81 % (4020282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.81 % (4020282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.81 % (4020282)CaDiCaL version: 2.1.3
% 3.82/0.81 % (4020282)Termination reason: Inappropriate
% 3.82/0.81 % (4020282)Time elapsed: 0.0000 s
% 3.82/0.81 % (4020282)Peak memory usage: 10 MB
% 3.82/0.81 % (4020282)------------------------------
% 3.82/0.81 % (4020282)------------------------------
% 3.82/0.81 % (4020288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1672698596:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.82/0.81 % (4020295)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3592193526:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.82/0.81 % (4020295)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.82/0.81 % (4020295)Terminated due to inappropriate strategy.
% 3.82/0.81 % (4020295)------------------------------
% 3.82/0.81 % (4020295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.81 % (4020295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.81 % (4020295)CaDiCaL version: 2.1.3
% 3.82/0.81 % (4020295)Termination reason: Inappropriate
% 3.82/0.81 % (4020295)Time elapsed: 0.0000 s
% 3.82/0.81 % (4020295)Peak memory usage: 10 MB
% 3.82/0.81 % (4020295)------------------------------
% 3.82/0.81 % (4020295)------------------------------
% 3.82/0.81 % (4020286)Instruction limit reached!
% 3.82/0.81 % (4020286)------------------------------
% 3.82/0.81 % (4020286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.81 % (4020286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.81 % (4020286)CaDiCaL version: 2.1.3
% 3.82/0.81 % (4020286)Termination reason: Instruction limit
% 3.82/0.81 % (4020286)Termination phase: Saturation
% 3.82/0.81 % (4020286)Time elapsed: 0.037 s
% 3.82/0.81 % (4020286)Peak memory usage: 12 MB
% 3.82/0.81 % (4020286)Instructions burned: 117 (million)
% 3.82/0.81 % (4020299)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=1771984750:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.82/0.81 % (4020298)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=591680120:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.82/0.81 % (4020285)Instruction limit reached!
% 3.82/0.81 % (4020285)------------------------------
% 3.82/0.81 % (4020285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.81 % (4020285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.81 % (4020285)CaDiCaL version: 2.1.3
% 3.82/0.81 % (4020285)Termination reason: Instruction limit
% 3.82/0.81 % (4020285)Termination phase: Saturation
% 3.82/0.81 % (4020285)Time elapsed: 0.058 s
% 3.82/0.81 % (4020285)Peak memory usage: 12 MB
% 3.82/0.81 % (4020285)Instructions burned: 104 (million)
% 3.82/0.81 % (4020302)ott-21_1_sil=16000:fs=off:random_seed=3737635411:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.82/0.81 % (4020287)Instruction limit reached!
% 3.82/0.81 % (4020287)------------------------------
% 7.31/1.40 % (4020287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.31/1.40 % (4020287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/1.40 % (4020287)CaDiCaL version: 2.1.3
% 7.31/1.40 % (4020287)Termination reason: Instruction limit
% 7.31/1.40 % (4020287)Termination phase: Saturation
% 7.31/1.40 % (4020287)Time elapsed: 0.079 s
% 7.31/1.40 % (4020287)Peak memory usage: 13 MB
% 7.31/1.40 % (4020287)Instructions burned: 131 (million)
% 7.31/1.40 % (4020304)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3334626079:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.31/1.40 % (4020288)Instruction limit reached!
% 7.31/1.40 % (4020288)------------------------------
% 7.31/1.40 % (4020288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.31/1.40 % (4020288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/1.40 % (4020288)CaDiCaL version: 2.1.3
% 7.31/1.40 % (4020288)Termination reason: Instruction limit
% 7.31/1.40 % (4020288)Termination phase: Saturation
% 7.31/1.40 % (4020288)Time elapsed: 0.129 s
% 7.31/1.40 % (4020288)Peak memory usage: 12 MB
% 7.31/1.40 % (4020288)Instructions burned: 160 (million)
% 7.31/1.40 % (4020302)Instruction limit reached!
% 7.31/1.40 % (4020302)------------------------------
% 7.31/1.40 % (4020302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.31/1.40 % (4020302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/1.40 % (4020302)CaDiCaL version: 2.1.3
% 7.31/1.40 % (4020302)Termination reason: Instruction limit
% 7.31/1.40 % (4020302)Termination phase: Saturation
% 7.31/1.40 % (4020302)Time elapsed: 0.080 s
% 7.31/1.40 % (4020302)Peak memory usage: 12 MB
% 7.31/1.40 % (4020302)Instructions burned: 181 (million)
% 7.31/1.40 % (4020298)Instruction limit reached!
% 7.31/1.40 % (4020298)------------------------------
% 7.31/1.40 % (4020298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.31/1.40 % (4020298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/1.40 % (4020298)CaDiCaL version: 2.1.3
% 7.31/1.40 % (4020298)Termination reason: Instruction limit
% 7.31/1.40 % (4020298)Termination phase: Saturation
% 7.31/1.40 % (4020298)Time elapsed: 0.123 s
% 7.31/1.40 % (4020298)Peak memory usage: 13 MB
% 7.31/1.40 % (4020298)Instructions burned: 132 (million)
% 7.31/1.40 % (4020306)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2552070262:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.31/1.40 % (4020306)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.31/1.40 % (4020306)Terminated due to inappropriate strategy.
% 7.31/1.40 % (4020306)------------------------------
% 7.31/1.40 % (4020306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.31/1.40 % (4020306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/1.40 % (4020306)CaDiCaL version: 2.1.3
% 7.31/1.40 % (4020306)Termination reason: Inappropriate
% 7.31/1.40 % (4020306)Time elapsed: 0.0000 s
% 7.31/1.40 % (4020306)Peak memory usage: 10 MB
% 7.31/1.40 % (4020306)------------------------------
% 7.31/1.40 % (4020306)------------------------------
% 7.31/1.40 % (4020307)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3758957364:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.31/1.40 % (4020309)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1903239827:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.31/1.40 % (4020309)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.31/1.40 % (4020309)Terminated due to inappropriate strategy.
% 7.31/1.40 % (4020309)------------------------------
% 7.31/1.40 % (4020309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.31/1.40 % (4020309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/1.40 % (4020309)CaDiCaL version: 2.1.3
% 7.31/1.40 % (4020309)Termination reason: Inappropriate
% 7.31/1.40 % (4020309)Time elapsed: 0.0000 s
% 7.31/1.40 % (4020309)Peak memory usage: 10 MB
% 7.31/1.40 % (4020309)------------------------------
% 7.31/1.40 % (4020309)------------------------------
% 7.31/1.40 % (4020310)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=3514371722: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)
% 7.31/1.40 % (4020314)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=877766218:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.54/2.87 % (4020299)Instruction limit reached!
% 17.54/2.87 % (4020299)------------------------------
% 17.54/2.87 % (4020299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020299)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020299)Termination reason: Instruction limit
% 17.54/2.87 % (4020299)Termination phase: Saturation
% 17.54/2.87 % (4020299)Time elapsed: 0.183 s
% 17.54/2.87 % (4020299)Peak memory usage: 15 MB
% 17.54/2.87 % (4020299)Instructions burned: 688 (million)
% 17.54/2.87 % (4020329)fmb+10_1_sil=64000:random_seed=2752279602:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.54/2.87 % (4020329)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020329)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020329)------------------------------
% 17.54/2.87 % (4020329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020329)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020329)Termination reason: Inappropriate
% 17.54/2.87 % (4020329)Time elapsed: 0.0000 s
% 17.54/2.87 % (4020329)Peak memory usage: 11 MB
% 17.54/2.87 % (4020329)------------------------------
% 17.54/2.87 % (4020329)------------------------------
% 17.54/2.87 % (4020333)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2180716202:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.54/2.87 % (4020333)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020333)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020333)------------------------------
% 17.54/2.87 % (4020333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020333)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020333)Termination reason: Inappropriate
% 17.54/2.87 % (4020333)Time elapsed: 0.0000 s
% 17.54/2.87 % (4020333)Peak memory usage: 10 MB
% 17.54/2.87 % (4020333)------------------------------
% 17.54/2.87 % (4020333)------------------------------
% 17.54/2.87 % (4020337)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2689097787:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 17.54/2.87 % (4020337)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020337)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020337)------------------------------
% 17.54/2.87 % (4020337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020337)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020337)Termination reason: Inappropriate
% 17.54/2.87 % (4020337)Time elapsed: 0.0000 s
% 17.54/2.87 % (4020337)Peak memory usage: 10 MB
% 17.54/2.87 % (4020337)------------------------------
% 17.54/2.87 % (4020337)------------------------------
% 17.54/2.87 % (4020343)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=539998212:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 17.54/2.87 % (4020304)Instruction limit reached!
% 17.54/2.87 % (4020304)------------------------------
% 17.54/2.87 % (4020304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020304)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020304)Termination reason: Instruction limit
% 17.54/2.87 % (4020304)Termination phase: Saturation
% 17.54/2.87 % (4020304)Time elapsed: 0.280 s
% 17.54/2.87 % (4020304)Peak memory usage: 14 MB
% 17.54/2.87 % (4020304)Instructions burned: 477 (million)
% 17.54/2.87 % (4020393)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1698155232:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 17.54/2.87 % (4020310)Instruction limit reached!
% 17.54/2.87 % (4020310)------------------------------
% 17.54/2.87 % (4020310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020310)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020310)Termination reason: Instruction limit
% 17.54/2.87 % (4020310)Termination phase: Saturation
% 17.54/2.87 % (4020310)Time elapsed: 0.351 s
% 17.54/2.87 % (4020310)Peak memory usage: 14 MB
% 17.54/2.87 % (4020310)Instructions burned: 693 (million)
% 17.54/2.87 % (4020429)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1811803803:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 17.54/2.87 % (4020429)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020429)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020429)------------------------------
% 17.54/2.87 % (4020429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020429)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020429)Termination reason: Inappropriate
% 17.54/2.87 % (4020429)Time elapsed: 0.0000 s
% 17.54/2.87 % (4020429)Peak memory usage: 10 MB
% 17.54/2.87 % (4020429)------------------------------
% 17.54/2.87 % (4020429)------------------------------
% 17.54/2.87 % (4020437)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3228690564:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 17.54/2.87 % (4020437)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020437)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020437)------------------------------
% 17.54/2.87 % (4020437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020437)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020437)Termination reason: Inappropriate
% 17.54/2.87 % (4020437)Time elapsed: 0.001 s
% 17.54/2.87 % (4020437)Peak memory usage: 10 MB
% 17.54/2.87 % (4020437)------------------------------
% 17.54/2.87 % (4020437)------------------------------
% 17.54/2.87 % (4020443)ott-2_1_sil=16000:newcnf=on:random_seed=2267736253:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 17.54/2.87 % (4020314)Instruction limit reached!
% 17.54/2.87 % (4020314)------------------------------
% 17.54/2.87 % (4020314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020314)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020314)Termination reason: Instruction limit
% 17.54/2.87 % (4020314)Termination phase: Saturation
% 17.54/2.87 % (4020314)Time elapsed: 0.499 s
% 17.54/2.87 % (4020314)Peak memory usage: 19 MB
% 17.54/2.87 % (4020314)Instructions burned: 879 (million)
% 17.54/2.87 % (4020462)ott+10_1_sil=32000:tgt=ground:random_seed=2335310567:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 17.54/2.87 % (4020307)Instruction limit reached!
% 17.54/2.87 % (4020307)------------------------------
% 17.54/2.87 % (4020307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020307)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020307)Termination reason: Instruction limit
% 17.54/2.87 % (4020307)Termination phase: Saturation
% 17.54/2.87 % (4020307)Time elapsed: 0.588 s
% 17.54/2.87 % (4020307)Peak memory usage: 15 MB
% 17.54/2.87 % (4020307)Instructions burned: 1180 (million)
% 17.54/2.87 % (4020464)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4095494731:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 17.54/2.87 % (4020464)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020464)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020464)------------------------------
% 17.54/2.87 % (4020464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020464)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020464)Termination reason: Inappropriate
% 17.54/2.87 % (4020464)Time elapsed: 0.0000 s
% 17.54/2.87 % (4020464)Peak memory usage: 10 MB
% 17.54/2.87 % (4020464)------------------------------
% 17.54/2.87 % (4020464)------------------------------
% 17.54/2.87 % (4020466)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1634035477:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 17.54/2.87 % (4020393)Instruction limit reached!
% 17.54/2.87 % (4020393)------------------------------
% 17.54/2.87 % (4020393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020393)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020393)Termination reason: Instruction limit
% 17.54/2.87 % (4020393)Termination phase: Saturation
% 17.54/2.87 % (4020393)Time elapsed: 0.732 s
% 17.54/2.87 % (4020393)Peak memory usage: 20 MB
% 17.54/2.87 % (4020393)Instructions burned: 1473 (million)
% 17.54/2.87 % (4020468)dis+21_1_sil=32000:sas=cadical:random_seed=2918065464:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 17.54/2.87 % (4020443)Instruction limit reached!
% 17.54/2.87 % (4020443)------------------------------
% 17.54/2.87 % (4020443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020443)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020443)Termination reason: Instruction limit
% 17.54/2.87 % (4020443)Termination phase: Saturation
% 17.54/2.87 % (4020443)Time elapsed: 0.673 s
% 17.54/2.87 % (4020443)Peak memory usage: 16 MB
% 17.54/2.87 % (4020443)Instructions burned: 869 (million)
% 17.54/2.87 % (4020470)ott+11_1_sil=16000:gs=on:random_seed=2276315627:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 17.54/2.87 % (4020343)Instruction limit reached!
% 17.54/2.87 % (4020343)------------------------------
% 17.54/2.87 % (4020343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020343)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020343)Termination reason: Instruction limit
% 17.54/2.87 % (4020343)Termination phase: Saturation
% 17.54/2.87 % (4020343)Time elapsed: 1.592 s
% 17.54/2.87 % (4020343)Peak memory usage: 40 MB
% 17.54/2.87 % (4020343)Instructions burned: 5131 (million)
% 17.54/2.87 % (4020494)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4022010748:fmbsr=1.6:i=67534_2981 on theBenchmark for (2981ds/67534Mi)
% 17.54/2.87 % (4020494)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 17.54/2.87 % (4020494)Terminated due to inappropriate strategy.
% 17.54/2.87 % (4020494)------------------------------
% 17.54/2.87 % (4020494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020494)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020494)Termination reason: Inappropriate
% 17.54/2.87 % (4020494)Time elapsed: 0.0000 s
% 17.54/2.87 % (4020494)Peak memory usage: 10 MB
% 17.54/2.87 % (4020494)------------------------------
% 17.54/2.87 % (4020494)------------------------------
% 17.54/2.87 % (4020496)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=405436242:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2980 on theBenchmark for (2980ds/4591Mi)
% 17.54/2.87 % (4020470) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4020277-4020470"...
% 17.54/2.87 % (4020470)...printing done.
% 17.54/2.87 % (4020470)Refutation found. Thanks to Tanya!
% 17.54/2.87 % SZS status Theorem for theBenchmark
% 17.54/2.87 % SZS output start Proof for theBenchmark
% 17.54/2.87 tff(f1,conjecture,(
% 17.54/2.87 ? [X0 : $real] : ($is_int(X0) & $greater($product(2/5,X0),1/1) & $less($product(3/10,X0),1/1))),
% 17.54/2.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 17.54/2.87 tff(f2,negated_conjecture,(
% 17.54/2.87 ~ ? [X0 : $real] : ($is_int(X0) & $greater($product(2/5,X0),1/1) & $less($product(3/10,X0),1/1))),
% 17.54/2.87 inference(negated_conjecture,[status(cth)],[f1])).
% 17.54/2.87 tff(f3,plain,(
% 17.54/2.87 ~ ? [X0 : $real] : ($is_int(X0) & $less(1/1,$product(2/5,X0)) & $less($product(3/10,X0),1/1))),
% 17.54/2.87 inference(theory_normalization,[],[f2])).
% 17.54/2.87 tff(f4,definition,(
% 17.54/2.87 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 17.54/2.87 introduced(theory,[tha_commutativity])).
% 17.54/2.87 tff(f5,definition,(
% 17.54/2.87 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 17.54/2.87 introduced(theory,[tha_associativity])).
% 17.54/2.87 tff(f17,definition,(
% 17.54/2.87 ( ! [X0 : $real] : ($product(X0,1/1) = X0) )),
% 17.54/2.87 introduced(theory,[tha_right_identity])).
% 17.54/2.87 tff(f19,definition,(
% 17.54/2.87 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 17.54/2.87 introduced(theory,[tha_distributivity])).
% 17.54/2.87 tff(f21,plain,(
% 17.54/2.87 ! [X0 : $real] : (~$is_int(X0) | ~$less(1/1,$product(2/5,X0)) | ~$less($product(3/10,X0),1/1))),
% 17.54/2.87 inference(ennf_transformation,[],[f3])).
% 17.54/2.87 tff(f22,plain,(
% 17.54/2.87 ( ! [X0 : $real] : (~$less(1/1,$product(2/5,X0)) | ~$is_int(X0) | ~$less($product(3/10,X0),1/1)) )),
% 17.54/2.87 inference(cnf_transformation,[],[f21])).
% 17.54/2.87 tff(f80,plain,(
% 17.54/2.87 ( ! [X0 : $real,X1 : $real] : ($product(X0,$sum(1/1,X1)) = $sum(X0,$product(X0,X1))) )),
% 17.54/2.87 inference(superposition,[],[f19,f17])).
% 17.54/2.87 tff(f85,plain,(
% 17.54/2.87 ( ! [X0 : $real,X1 : $real] : ($product(X0,$sum(X1,1/1)) = $sum($product(X0,X1),X0)) )),
% 17.54/2.87 inference(superposition,[],[f19,f17])).
% 17.54/2.87 tff(f95,plain,(
% 17.54/2.87 ( ! [X0 : $real,X1 : $real] : ($sum(X0,$product(X0,X1)) = $product(X0,$sum(X1,1/1))) )),
% 17.54/2.87 inference(forward_demodulation,[],[f85,f4])).
% 17.54/2.87 tff(f151,plain,(
% 17.54/2.87 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum($sum(X0,X1),X2) = $sum(X1,$sum(X0,X2))) )),
% 17.54/2.87 inference(superposition,[],[f5,f4])).
% 17.54/2.87 tff(f325,plain,(
% 17.54/2.87 ( ! [X0 : $real] : ($product(X0,$sum(1/1,1/1)) = $sum(X0,X0)) )),
% 17.54/2.87 inference(superposition,[],[f80,f17])).
% 17.54/2.87 tff(f338,plain,(
% 17.54/2.87 ( ! [X0 : $real] : ($sum(X0,X0) = $product(X0,2/1)) )),
% 17.54/2.87 inference(evaluation,[],[f325])).
% 17.54/2.87 tff(f368,plain,(
% 17.54/2.87 ( ! [X0 : $real,X1 : $real] : ($product(X0,$sum(1/1,X1)) = $product(X0,$sum(X1,1/1))) )),
% 17.54/2.87 inference(superposition,[],[f80,f95])).
% 17.54/2.87 tff(f3386,plain,(
% 17.54/2.87 ( ! [X0 : $real] : (~$less(1/1,$product(2/5,$sum(X0,1/1))) | ~$is_int($sum(1/1,X0)) | ~$less($product(3/10,$sum(1/1,X0)),1/1)) )),
% 17.54/2.87 inference(superposition,[],[f22,f368])).
% 17.54/2.87 tff(f3609,plain,(
% 17.54/2.87 ( ! [X0 : $real,X1 : $real] : (~$less(1/1,$product(2/5,$sum(X0,$sum(X1,1/1)))) | ~$is_int($sum(1/1,$sum(X1,X0))) | ~$less($product(3/10,$sum(1/1,$sum(X1,X0))),1/1)) )),
% 17.54/2.87 inference(superposition,[],[f3386,f151])).
% 17.54/2.87 tff(f21519,plain,(
% 17.54/2.87 ( ! [X0 : $real] : (~$less(1/1,$product(2/5,$sum(X0,$product(1/1,2/1)))) | ~$is_int($sum(1/1,$sum(1/1,X0))) | ~$less($product(3/10,$sum(1/1,$sum(1/1,X0))),1/1)) )),
% 17.54/2.87 inference(superposition,[],[f3609,f338])).
% 17.54/2.87 tff(f21540,plain,(
% 17.54/2.87 ( ! [X0 : $real] : (~$less(1/1,$product(2/5,$sum(X0,2/1))) | ~$is_int($sum(1/1,$sum(1/1,X0))) | ~$less($product(3/10,$sum(1/1,$sum(1/1,X0))),1/1)) )),
% 17.54/2.87 inference(evaluation,[],[f21519])).
% 17.54/2.87 tff(f21718,plain,(
% 17.54/2.87 ( ! [X0 : $real] : (~$is_int($sum(1/1,$sum(1/1,X0))) | ~$less(1/1,$product(2/5,$sum(2/1,X0))) | ~$less($product(3/10,$sum(1/1,$sum(1/1,X0))),1/1)) )),
% 17.54/2.87 inference(superposition,[],[f21540,f4])).
% 17.54/2.87 tff(f21842,plain,(
% 17.54/2.87 ~$is_int($sum(1/1,$product(1/1,2/1))) | ~$less(1/1,$product(2/5,$sum(2/1,1/1))) | ~$less($product(3/10,$sum(1/1,$product(1/1,2/1))),1/1)),
% 17.54/2.87 inference(superposition,[],[f21718,f338])).
% 17.54/2.87 tff(f21875,plain,(
% 17.54/2.87 $false),
% 17.54/2.87 inference(evaluation,[],[f21842])).
% 17.54/2.87 % SZS output end Proof for theBenchmark
% 17.54/2.87 % (4020470)------------------------------
% 17.54/2.87 % (4020470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.87 % (4020470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.87 % (4020470)CaDiCaL version: 2.1.3
% 17.54/2.87 % (4020470)Termination reason: Refutation
% 17.54/2.87 % (4020470)Time elapsed: 1.290 s
% 17.54/2.87 % (4020470)Peak memory usage: 20 MB
% 17.54/2.87 % (4020470)Instructions burned: 2193 (million)
% 17.54/2.87 % (4020277)Success in time 2.633 s
% 17.54/2.87 % Vampire exiting
%------------------------------------------------------------------------------