%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV422_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 : n015.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 12:59:15 PM UTC 2026
% Result : Theorem 11.67s 4.08s
% Output : Refutation 11.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV422_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 % Computer : n015.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 28 06:30:16 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.46 Running first-order model finding
% 0.16/0.46 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
% 6.36/1.46 % (2415327)Will run a generic schedule for satisfiability detection.
% 6.36/1.46 % (2415334)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1962817263:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.36/1.46 % (2415337)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3746243158:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.36/1.46 % (2415333)% WARNING: option uhcvi not known.
% 6.36/1.46 % (2415332)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=829141967_2999 on theBenchmark for (2999ds/0Mi)
% 6.36/1.46 % (2415333)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3570550193:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.36/1.46 % (2415336)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1045709207:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.36/1.46 % (2415335)dis+10_1_sil=32000:sp=arity:random_seed=726638278:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.36/1.46 % (2415332)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.36/1.46 % (2415332)Terminated due to inappropriate strategy.
% 6.36/1.46 % (2415332)------------------------------
% 6.36/1.46 % (2415332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.46 % (2415332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.46 % (2415332)CaDiCaL version: 2.1.3
% 6.36/1.46 % (2415332)Termination reason: Inappropriate
% 6.36/1.46 % (2415332)Time elapsed: 0.002 s
% 6.36/1.46 % (2415332)Peak memory usage: 10 MB
% 6.36/1.46 % (2415332)Instructions burned: 1 (million)
% 6.36/1.46 % (2415332)------------------------------
% 6.36/1.46 % (2415332)------------------------------
% 6.36/1.46 % (2415338)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1945505585:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.36/1.46 % (2415346)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=22680633:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.36/1.46 % (2415346)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.36/1.46 % (2415346)Terminated due to inappropriate strategy.
% 6.36/1.46 % (2415346)------------------------------
% 6.36/1.46 % (2415346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.46 % (2415346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.46 % (2415346)CaDiCaL version: 2.1.3
% 6.36/1.46 % (2415346)Termination reason: Inappropriate
% 6.36/1.46 % (2415346)Time elapsed: 0.002 s
% 6.36/1.46 % (2415346)Peak memory usage: 10 MB
% 6.36/1.46 % (2415346)Instructions burned: 1 (million)
% 6.36/1.46 % (2415346)------------------------------
% 6.36/1.46 % (2415346)------------------------------
% 6.36/1.46 % (2415348)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=580177966:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.36/1.46 % (2415335)Instruction limit reached!
% 6.36/1.46 % (2415335)------------------------------
% 6.36/1.46 % (2415335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.46 % (2415335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.46 % (2415335)CaDiCaL version: 2.1.3
% 6.36/1.46 % (2415335)Termination reason: Instruction limit
% 6.36/1.46 % (2415335)Termination phase: Saturation
% 6.36/1.46 % (2415335)Time elapsed: 0.106 s
% 6.36/1.46 % (2415335)Peak memory usage: 12 MB
% 6.36/1.46 % (2415335)Instructions burned: 104 (million)
% 6.36/1.46 % (2415337)Instruction limit reached!
% 6.36/1.46 % (2415337)------------------------------
% 6.36/1.46 % (2415337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.46 % (2415337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.46 % (2415337)CaDiCaL version: 2.1.3
% 6.36/1.46 % (2415337)Termination reason: Instruction limit
% 6.36/1.46 % (2415337)Termination phase: Saturation
% 6.36/1.46 % (2415337)Time elapsed: 0.124 s
% 6.36/1.46 % (2415337)Peak memory usage: 12 MB
% 6.36/1.46 % (2415337)Instructions burned: 131 (million)
% 6.36/1.46 % (2415336)Instruction limit reached!
% 6.36/1.46 % (2415336)------------------------------
% 6.36/1.46 % (2415336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.46 % (2415336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.46 % (2415336)CaDiCaL version: 2.1.3
% 6.36/1.46 % (2415336)Termination reason: Instruction limit
% 7.99/1.89 % (2415336)Termination phase: Saturation
% 7.99/1.89 % (2415336)Time elapsed: 0.113 s
% 7.99/1.89 % (2415336)Peak memory usage: 12 MB
% 7.99/1.89 % (2415336)Instructions burned: 116 (million)
% 7.99/1.89 % (2415350)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=1976399460:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.99/1.89 % (2415351)ott-21_1_sil=16000:fs=off:random_seed=1289127038:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.99/1.89 % (2415352)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3946895289:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.99/1.89 % (2415338)Instruction limit reached!
% 7.99/1.89 % (2415338)------------------------------
% 7.99/1.89 % (2415338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.89 % (2415338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.89 % (2415338)CaDiCaL version: 2.1.3
% 7.99/1.89 % (2415338)Termination reason: Instruction limit
% 7.99/1.89 % (2415338)Termination phase: Saturation
% 7.99/1.89 % (2415338)Time elapsed: 0.164 s
% 7.99/1.89 % (2415338)Peak memory usage: 13 MB
% 7.99/1.89 % (2415338)Instructions burned: 159 (million)
% 7.99/1.89 % (2415356)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2350055776:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.99/1.89 % (2415356)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.99/1.89 % (2415356)Terminated due to inappropriate strategy.
% 7.99/1.89 % (2415356)------------------------------
% 7.99/1.89 % (2415356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.89 % (2415356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.89 % (2415356)CaDiCaL version: 2.1.3
% 7.99/1.89 % (2415356)Termination reason: Inappropriate
% 7.99/1.89 % (2415356)Time elapsed: 0.001 s
% 7.99/1.89 % (2415356)Peak memory usage: 10 MB
% 7.99/1.89 % (2415356)Instructions burned: 1 (million)
% 7.99/1.89 % (2415356)------------------------------
% 7.99/1.89 % (2415356)------------------------------
% 7.99/1.89 % (2415348)Instruction limit reached!
% 7.99/1.89 % (2415348)------------------------------
% 7.99/1.89 % (2415348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.89 % (2415348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.89 % (2415348)CaDiCaL version: 2.1.3
% 7.99/1.89 % (2415348)Termination reason: Instruction limit
% 7.99/1.89 % (2415348)Termination phase: Saturation
% 7.99/1.89 % (2415348)Time elapsed: 0.144 s
% 7.99/1.89 % (2415348)Peak memory usage: 13 MB
% 7.99/1.89 % (2415348)Instructions burned: 131 (million)
% 7.99/1.89 % (2415358)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=23731222:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.99/1.89 % (2415359)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4031190099:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 7.99/1.89 % (2415359)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.99/1.89 % (2415359)Terminated due to inappropriate strategy.
% 7.99/1.89 % (2415359)------------------------------
% 7.99/1.89 % (2415359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.89 % (2415359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.89 % (2415359)CaDiCaL version: 2.1.3
% 7.99/1.89 % (2415359)Termination reason: Inappropriate
% 7.99/1.89 % (2415359)Time elapsed: 0.002 s
% 7.99/1.89 % (2415359)Peak memory usage: 10 MB
% 7.99/1.89 % (2415359)Instructions burned: 1 (million)
% 7.99/1.89 % (2415359)------------------------------
% 7.99/1.89 % (2415359)------------------------------
% 7.99/1.89 % (2415362)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=3705348621:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.99/1.89 % (2415351)Instruction limit reached!
% 7.99/1.89 % (2415351)------------------------------
% 7.99/1.89 % (2415351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.89 % (2415351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.89 % (2415351)CaDiCaL version: 2.1.3
% 7.99/1.89 % (2415351)Termination reason: Instruction limit
% 7.99/1.89 % (2415351)Termination phase: Saturation
% 11.67/4.08 % (2415351)Time elapsed: 0.152 s
% 11.67/4.08 % (2415351)Peak memory usage: 12 MB
% 11.67/4.08 % (2415351)Instructions burned: 184 (million)
% 11.67/4.08 % (2415364)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4065984309:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 11.67/4.08 % (2415352)Instruction limit reached!
% 11.67/4.08 % (2415352)------------------------------
% 11.67/4.08 % (2415352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415352)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415352)Termination reason: Instruction limit
% 11.67/4.08 % (2415352)Termination phase: Saturation
% 11.67/4.08 % (2415352)Time elapsed: 0.498 s
% 11.67/4.08 % (2415352)Peak memory usage: 14 MB
% 11.67/4.08 % (2415352)Instructions burned: 477 (million)
% 11.67/4.08 % (2415366)fmb+10_1_sil=64000:random_seed=2181612321:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 11.67/4.08 % (2415366)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415366)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415366)------------------------------
% 11.67/4.08 % (2415366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415366)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415366)Termination reason: Inappropriate
% 11.67/4.08 % (2415366)Time elapsed: 0.0000 s
% 11.67/4.08 % (2415366)Peak memory usage: 10 MB
% 11.67/4.08 % (2415366)Instructions burned: 1 (million)
% 11.67/4.08 % (2415366)------------------------------
% 11.67/4.08 % (2415366)------------------------------
% 11.67/4.08 % (2415368)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3638543749:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 11.67/4.08 % (2415368)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415368)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415368)------------------------------
% 11.67/4.08 % (2415368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415368)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415368)Termination reason: Inappropriate
% 11.67/4.08 % (2415368)Time elapsed: 0.0000 s
% 11.67/4.08 % (2415368)Peak memory usage: 10 MB
% 11.67/4.08 % (2415368)Instructions burned: 1 (million)
% 11.67/4.08 % (2415368)------------------------------
% 11.67/4.08 % (2415368)------------------------------
% 11.67/4.08 % (2415370)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2062334110:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 11.67/4.08 % (2415370)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415370)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415370)------------------------------
% 11.67/4.08 % (2415370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415370)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415370)Termination reason: Inappropriate
% 11.67/4.08 % (2415370)Time elapsed: 0.001 s
% 11.67/4.08 % (2415370)Peak memory usage: 10 MB
% 11.67/4.08 % (2415370)Instructions burned: 1 (million)
% 11.67/4.08 % (2415370)------------------------------
% 11.67/4.08 % (2415370)------------------------------
% 11.67/4.08 % (2415372)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1901865420:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 11.67/4.08 % (2415350)Instruction limit reached!
% 11.67/4.08 % (2415350)------------------------------
% 11.67/4.08 % (2415350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415350)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415350)Termination reason: Instruction limit
% 11.67/4.08 % (2415350)Termination phase: Saturation
% 11.67/4.08 % (2415350)Time elapsed: 0.631 s
% 11.67/4.08 % (2415350)Peak memory usage: 15 MB
% 11.67/4.08 % (2415350)Instructions burned: 685 (million)
% 11.67/4.08 % (2415376)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3918400588:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 11.67/4.08 % (2415362)Instruction limit reached!
% 11.67/4.08 % (2415362)------------------------------
% 11.67/4.08 % (2415362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415362)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415362)Termination reason: Instruction limit
% 11.67/4.08 % (2415362)Termination phase: Saturation
% 11.67/4.08 % (2415362)Time elapsed: 0.672 s
% 11.67/4.08 % (2415362)Peak memory usage: 20 MB
% 11.67/4.08 % (2415362)Instructions burned: 693 (million)
% 11.67/4.08 % (2415380)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1974689280:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 11.67/4.08 % (2415380)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415380)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415380)------------------------------
% 11.67/4.08 % (2415380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415380)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415380)Termination reason: Inappropriate
% 11.67/4.08 % (2415380)Time elapsed: 0.001 s
% 11.67/4.08 % (2415380)Peak memory usage: 10 MB
% 11.67/4.08 % (2415380)Instructions burned: 1 (million)
% 11.67/4.08 % (2415380)------------------------------
% 11.67/4.08 % (2415380)------------------------------
% 11.67/4.08 % (2415382)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1551506471:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 11.67/4.08 % (2415382)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415382)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415382)------------------------------
% 11.67/4.08 % (2415382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415382)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415382)Termination reason: Inappropriate
% 11.67/4.08 % (2415382)Time elapsed: 0.002 s
% 11.67/4.08 % (2415382)Peak memory usage: 10 MB
% 11.67/4.08 % (2415382)Instructions burned: 1 (million)
% 11.67/4.08 % (2415382)------------------------------
% 11.67/4.08 % (2415382)------------------------------
% 11.67/4.08 % (2415384)ott-2_1_sil=16000:newcnf=on:random_seed=3180139634:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 11.67/4.08 % (2415364)Instruction limit reached!
% 11.67/4.08 % (2415364)------------------------------
% 11.67/4.08 % (2415364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415364)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415364)Termination reason: Instruction limit
% 11.67/4.08 % (2415364)Termination phase: Saturation
% 11.67/4.08 % (2415364)Time elapsed: 0.837 s
% 11.67/4.08 % (2415364)Peak memory usage: 20 MB
% 11.67/4.08 % (2415364)Instructions burned: 879 (million)
% 11.67/4.08 % (2415386)ott+10_1_sil=32000:tgt=ground:random_seed=989740157:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 11.67/4.08 % (2415358)Instruction limit reached!
% 11.67/4.08 % (2415358)------------------------------
% 11.67/4.08 % (2415358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415358)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415358)Termination reason: Instruction limit
% 11.67/4.08 % (2415358)Termination phase: Saturation
% 11.67/4.08 % (2415358)Time elapsed: 1.126 s
% 11.67/4.08 % (2415358)Peak memory usage: 17 MB
% 11.67/4.08 % (2415358)Instructions burned: 1179 (million)
% 11.67/4.08 % (2415388)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1312869733:i=54282_2986 on theBenchmark for (2986ds/54282Mi)
% 11.67/4.08 % (2415388)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415388)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415388)------------------------------
% 11.67/4.08 % (2415388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415388)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415388)Termination reason: Inappropriate
% 11.67/4.08 % (2415388)Time elapsed: 0.003 s
% 11.67/4.08 % (2415388)Peak memory usage: 11 MB
% 11.67/4.08 % (2415388)Instructions burned: 1 (million)
% 11.67/4.08 % (2415388)------------------------------
% 11.67/4.08 % (2415388)------------------------------
% 11.67/4.08 % (2415390)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3879669802:i=3512:aac=none_2985 on theBenchmark for (2985ds/3512Mi)
% 11.67/4.08 % (2415384)Instruction limit reached!
% 11.67/4.08 % (2415384)------------------------------
% 11.67/4.08 % (2415384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415384)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415384)Termination reason: Instruction limit
% 11.67/4.08 % (2415384)Termination phase: Saturation
% 11.67/4.08 % (2415384)Time elapsed: 0.831 s
% 11.67/4.08 % (2415384)Peak memory usage: 17 MB
% 11.67/4.08 % (2415384)Instructions burned: 869 (million)
% 11.67/4.08 % (2415396)dis+21_1_sil=32000:sas=cadical:random_seed=1080314902:i=3773:amm=off_2981 on theBenchmark for (2981ds/3773Mi)
% 11.67/4.08 % (2415376)Instruction limit reached!
% 11.67/4.08 % (2415376)------------------------------
% 11.67/4.08 % (2415376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415376)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415376)Termination reason: Instruction limit
% 11.67/4.08 % (2415376)Termination phase: Saturation
% 11.67/4.08 % (2415376)Time elapsed: 1.274 s
% 11.67/4.08 % (2415376)Peak memory usage: 20 MB
% 11.67/4.08 % (2415376)Instructions burned: 1472 (million)
% 11.67/4.08 % (2415398)ott+11_1_sil=16000:gs=on:random_seed=3190472718:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2979 on theBenchmark for (2979ds/2251Mi)
% 11.67/4.08 % (2415372)Instruction limit reached!
% 11.67/4.08 % (2415372)------------------------------
% 11.67/4.08 % (2415372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415372)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415372)Termination reason: Instruction limit
% 11.67/4.08 % (2415372)Termination phase: Saturation
% 11.67/4.08 % (2415372)Time elapsed: 2.438 s
% 11.67/4.08 % (2415372)Peak memory usage: 39 MB
% 11.67/4.08 % (2415372)Instructions burned: 5132 (million)
% 11.67/4.08 % (2415400)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1420521372:fmbsr=1.6:i=67534_2968 on theBenchmark for (2968ds/67534Mi)
% 11.67/4.08 % (2415400)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 11.67/4.08 % (2415400)Terminated due to inappropriate strategy.
% 11.67/4.08 % (2415400)------------------------------
% 11.67/4.08 % (2415400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415400)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415400)Termination reason: Inappropriate
% 11.67/4.08 % (2415400)Time elapsed: 0.001 s
% 11.67/4.08 % (2415400)Peak memory usage: 10 MB
% 11.67/4.08 % (2415400)Instructions burned: 1 (million)
% 11.67/4.08 % (2415400)------------------------------
% 11.67/4.08 % (2415400)------------------------------
% 11.67/4.08 % (2415402)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=710523896:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2967 on theBenchmark for (2967ds/4591Mi)
% 11.67/4.08 % (2415398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2415327-2415398"...
% 11.67/4.08 % (2415398)...printing done.
% 11.67/4.08 % (2415398)Refutation found. Thanks to Tanya!
% 11.67/4.08 % SZS status Theorem for theBenchmark
% 11.67/4.08 % SZS output start Proof for theBenchmark
% 11.67/4.08 tff(type_def_5, type, set: $tType).
% 11.67/4.08 tff(type_def_6, type, element: $tType).
% 11.67/4.08 tff(func_def_0, type, empty_set: set).
% 11.67/4.08 tff(func_def_1, type, singleton: element > set).
% 11.67/4.08 tff(func_def_2, type, intersection: (set * set) > set).
% 11.67/4.08 tff(func_def_3, type, union: (set * set) > set).
% 11.67/4.08 tff(func_def_4, type, difference: (set * set) > set).
% 11.67/4.08 tff(func_def_5, type, complement: set > set).
% 11.67/4.08 tff(func_def_6, type, cardinality: set > $int).
% 11.67/4.08 tff(func_def_11, type, sK0: set > element).
% 11.67/4.08 tff(func_def_12, type, sK1: element).
% 11.67/4.08 tff(func_def_13, type, sK2: set).
% 11.67/4.08 tff(func_def_14, type, sK3: $int).
% 11.67/4.08 tff(pred_def_1, type, member: (element * set) > $o).
% 11.67/4.08 tff(pred_def_2, type, subset: (set * set) > $o).
% 11.67/4.08 tff(f1,axiom,(
% 11.67/4.08 ! [X0 : set] : (! [X1 : element] : ~member(X1,X0) <=> X0 = empty_set)),
% 11.67/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set)).
% 11.67/4.08 tff(f2,axiom,(
% 11.67/4.08 ! [X0 : element,X1 : element] : (member(X0,singleton(X1)) <=> X0 = X1)),
% 11.67/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton)).
% 11.67/4.08 tff(f4,axiom,(
% 11.67/4.08 ! [X0 : element,X1 : set,X2 : set] : (member(X0,intersection(X1,X2)) <=> (member(X0,X1) & member(X0,X2)))),
% 11.67/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection)).
% 11.67/4.08 tff(f10,axiom,(
% 11.67/4.08 ! [X0 : element,X1 : set] : (intersection(singleton(X0),X1) = empty_set <=> cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1))),
% 11.67/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_2)).
% 11.67/4.08 tff(f13,conjecture,(
% 11.67/4.08 ! [X0 : element,X1 : set,X2 : $int] : ((~member(X0,X1) & X2 = cardinality(X1)) => $sum(X2,1) = cardinality(union(singleton(X0),X1)))),
% 11.67/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vc2)).
% 11.67/4.08 tff(f14,negated_conjecture,(
% 11.67/4.08 ~ ! [X0 : element,X1 : set,X2 : $int] : ((~member(X0,X1) & X2 = cardinality(X1)) => $sum(X2,1) = cardinality(union(singleton(X0),X1)))),
% 11.67/4.08 inference(negated_conjecture,[status(cth)],[f13])).
% 11.67/4.08 tff(f15,definition,(
% 11.67/4.08 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 11.67/4.08 introduced(theory,[tha_commutativity])).
% 11.67/4.08 tff(f27,plain,(
% 11.67/4.08 ? [X0 : element,X1 : set,X2 : $int] : (cardinality(union(singleton(X0),X1)) != $sum(X2,1) & (~member(X0,X1) & X2 = cardinality(X1)))),
% 11.67/4.08 inference(ennf_transformation,[],[f14])).
% 11.67/4.08 tff(f28,plain,(
% 11.67/4.08 ? [X0 : element,X1 : set,X2 : $int] : (cardinality(union(singleton(X0),X1)) != $sum(X2,1) & ~member(X0,X1) & X2 = cardinality(X1))),
% 11.67/4.08 inference(flattening,[],[f27])).
% 11.67/4.08 tff(f29,plain,(
% 11.67/4.08 ! [X0 : set] : ((! [X1 : element] : ~member(X1,X0) | empty_set != X0) & (X0 = empty_set | ? [X1 : element] : member(X1,X0)))),
% 11.67/4.08 inference(nnf_transformation,[],[f1])).
% 11.67/4.08 tff(f30,plain,(
% 11.67/4.08 ! [X0 : set] : ((! [X1 : element] : ~member(X1,X0) | empty_set != X0) & (X0 = empty_set | ? [X2 : element] : member(X2,X0)))),
% 11.67/4.08 inference(rectify,[],[f29])).
% 11.67/4.08 tff(f31,plain,(
% 11.67/4.08 ! [X0 : set] : ((! [X1 : element] : ~member(X1,X0) | empty_set != X0) & (X0 = empty_set | member(sK0(X0),X0)))),
% 11.67/4.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f30])).
% 11.67/4.08 tff(f32,plain,(
% 11.67/4.08 ! [X0 : element,X1 : element] : ((member(X0,singleton(X1)) | X0 != X1) & (X0 = X1 | ~member(X0,singleton(X1))))),
% 11.67/4.08 inference(nnf_transformation,[],[f2])).
% 11.67/4.08 tff(f33,plain,(
% 11.67/4.08 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,intersection(X1,X2)) | (~member(X0,X1) | ~member(X0,X2))) & ((member(X0,X1) & member(X0,X2)) | ~member(X0,intersection(X1,X2))))),
% 11.67/4.08 inference(nnf_transformation,[],[f4])).
% 11.67/4.08 tff(f34,plain,(
% 11.67/4.08 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,intersection(X1,X2)) | ~member(X0,X1) | ~member(X0,X2)) & ((member(X0,X1) & member(X0,X2)) | ~member(X0,intersection(X1,X2))))),
% 11.67/4.08 inference(flattening,[],[f33])).
% 11.67/4.08 tff(f42,plain,(
% 11.67/4.08 ! [X0 : element,X1 : set] : ((intersection(singleton(X0),X1) = empty_set | cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1)) & (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)))),
% 11.67/4.08 inference(nnf_transformation,[],[f10])).
% 11.67/4.08 tff(f45,plain,(
% 11.67/4.08 cardinality(union(singleton(sK1),sK2)) != $sum(sK3,1) & ~member(sK1,sK2) & sK3 = cardinality(sK2)),
% 11.67/4.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f28])).
% 11.67/4.08 tff(f46,plain,(
% 11.67/4.08 ( ! [X0 : set] : (member(sK0(X0),X0) | empty_set = X0) )),
% 11.67/4.08 inference(cnf_transformation,[],[f31])).
% 11.67/4.08 tff(f48,plain,(
% 11.67/4.08 ( ! [X0 : element,X1 : element] : (~member(X0,singleton(X1)) | X0 = X1) )),
% 11.67/4.08 inference(cnf_transformation,[],[f32])).
% 11.67/4.08 tff(f50,plain,(
% 11.67/4.08 ( ! [X2 : set,X0 : element,X1 : set] : (~member(X0,intersection(X1,X2)) | member(X0,X2)) )),
% 11.67/4.08 inference(cnf_transformation,[],[f34])).
% 11.67/4.08 tff(f51,plain,(
% 11.67/4.08 ( ! [X2 : set,X0 : element,X1 : set] : (~member(X0,intersection(X1,X2)) | member(X0,X1)) )),
% 11.67/4.08 inference(cnf_transformation,[],[f34])).
% 11.67/4.08 tff(f65,plain,(
% 11.67/4.08 ( ! [X0 : element,X1 : set] : (empty_set != intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1)) )),
% 11.67/4.08 inference(cnf_transformation,[],[f42])).
% 11.67/4.08 tff(f71,plain,(
% 11.67/4.08 sK3 = cardinality(sK2)),
% 11.67/4.08 inference(cnf_transformation,[],[f45])).
% 11.67/4.08 tff(f72,plain,(
% 11.67/4.08 ~member(sK1,sK2)),
% 11.67/4.08 inference(cnf_transformation,[],[f45])).
% 11.67/4.08 tff(f73,plain,(
% 11.67/4.08 cardinality(union(singleton(sK1),sK2)) != $sum(sK3,1)),
% 11.67/4.08 inference(cnf_transformation,[],[f45])).
% 11.67/4.08 tff(f108,plain,(
% 11.67/4.08 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,X1)),X1) | empty_set = intersection(X0,X1)) )),
% 11.67/4.08 inference(resolution,[],[f50,f46])).
% 11.67/4.08 tff(f116,plain,(
% 11.67/4.08 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,X1)),X0) | empty_set = intersection(X0,X1)) )),
% 11.67/4.08 inference(resolution,[],[f51,f46])).
% 11.67/4.08 tff(f336,plain,(
% 11.67/4.08 ( ! [X0 : element,X1 : set] : (sK0(intersection(singleton(X0),X1)) = X0 | empty_set = intersection(singleton(X0),X1)) )),
% 11.67/4.08 inference(resolution,[],[f116,f48])).
% 11.67/4.08 tff(f3197,plain,(
% 11.67/4.08 ( ! [X0 : element,X1 : set] : (member(X0,X1) | empty_set = intersection(singleton(X0),X1) | empty_set = intersection(singleton(X0),X1)) )),
% 11.67/4.08 inference(superposition,[],[f108,f336])).
% 11.67/4.08 tff(f3202,plain,(
% 11.67/4.08 ( ! [X0 : element,X1 : set] : (member(X0,X1) | empty_set = intersection(singleton(X0),X1)) )),
% 11.67/4.08 inference(duplicate_literal_removal,[],[f3197])).
% 11.67/4.08 tff(f19225,plain,(
% 11.67/4.08 empty_set = intersection(singleton(sK1),sK2)),
% 11.67/4.08 inference(resolution,[],[f3202,f72])).
% 11.67/4.08 tff(f19232,plain,(
% 11.67/4.08 empty_set != empty_set | cardinality(union(singleton(sK1),sK2)) = $sum(cardinality(sK2),1)),
% 11.67/4.08 inference(superposition,[],[f65,f19225])).
% 11.67/4.08 tff(f19253,plain,(
% 11.67/4.08 cardinality(union(singleton(sK1),sK2)) = $sum(cardinality(sK2),1)),
% 11.67/4.08 inference(trivial_inequality_removal,[],[f19232])).
% 11.67/4.08 tff(f19256,plain,(
% 11.67/4.08 cardinality(union(singleton(sK1),sK2)) = $sum(1,cardinality(sK2))),
% 11.67/4.08 inference(forward_demodulation,[],[f19253,f15])).
% 11.67/4.08 tff(f19267,plain,(
% 11.67/4.08 cardinality(union(singleton(sK1),sK2)) = $sum(1,sK3)),
% 11.67/4.08 inference(forward_demodulation,[],[f19256,f71])).
% 11.67/4.08 tff(f20989,plain,(
% 11.67/4.08 $sum(sK3,1) != $sum(1,sK3)),
% 11.67/4.08 inference(superposition,[],[f73,f19267])).
% 11.67/4.08 tff(f21004,plain,(
% 11.67/4.08 $sum(1,sK3) != $sum(1,sK3)),
% 11.67/4.08 inference(forward_demodulation,[],[f20989,f15])).
% 11.67/4.08 tff(f21005,plain,(
% 11.67/4.08 $false),
% 11.67/4.08 inference(trivial_inequality_removal,[],[f21004])).
% 11.67/4.08 % SZS output end Proof for theBenchmark
% 11.67/4.08 % (2415398)------------------------------
% 11.67/4.08 % (2415398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/4.08 % (2415398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/4.08 % (2415398)CaDiCaL version: 2.1.3
% 11.67/4.08 % (2415398)Termination reason: Refutation
% 11.67/4.08 % (2415398)Time elapsed: 1.463 s
% 11.67/4.08 % (2415398)Peak memory usage: 19 MB
% 11.67/4.08 % (2415398)Instructions burned: 1556 (million)
% 11.67/4.08 % (2415327)Success in time 3.608 s
% 11.67/4.08 % Vampire exiting
%------------------------------------------------------------------------------