%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV512^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 : Wed Sep 30 08:39:37 AM UTC 2026
% Result : Theorem 34.28s 5.10s
% Output : Refutation 34.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV512^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n016.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:00:05 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 4.32/1.02 % (521677)Will run a generic schedule for satisfiability detection.
% 4.32/1.02 % (521685)dis+10_1_sil=32000:sp=arity:random_seed=4115207607:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.32/1.02 % (521683)% WARNING: option uhcvi not known.
% 4.32/1.02 % (521682)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=719641111_2999 on theBenchmark for (2999ds/0Mi)
% 4.32/1.02 % (521683)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2644241412:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.32/1.02 % (521684)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2848660241:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.32/1.02 % (521683)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.32/1.02 % Exception at run slice level
% 4.32/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.32/1.02 % (521683)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.32/1.02 % (521686)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2318576321:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.32/1.02 % (521686)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.32/1.02 % (521687)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4143439717:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.32/1.02 % (521688)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2502179664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.32/1.02 % (521693)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2847801600:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.32/1.02 % (521685)Instruction limit reached!
% 4.32/1.02 % (521685)------------------------------
% 4.32/1.02 % (521685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.02 % (521685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.02 % (521685)CaDiCaL version: 2.1.3
% 4.32/1.02 % (521685)Termination reason: Instruction limit
% 4.32/1.02 % (521685)Termination phase: Saturation
% 4.32/1.02 % (521685)Time elapsed: 0.030 s
% 4.32/1.02 % (521685)Peak memory usage: 12 MB
% 4.32/1.02 % (521685)Instructions burned: 107 (million)
% 4.32/1.02 % Exception at run slice level
% 4.32/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.32/1.02 % (521698)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=777835412:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.32/1.02 % (521699)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=1974036998:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.32/1.02 % (521699)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.32/1.02 % (521699)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.32/1.02 % (521686)Instruction limit reached!
% 4.32/1.02 % (521686)------------------------------
% 4.32/1.02 % (521686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.02 % (521686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.02 % (521686)CaDiCaL version: 2.1.3
% 4.32/1.02 % (521686)Termination reason: Instruction limit
% 4.32/1.02 % (521686)Termination phase: Saturation
% 4.32/1.02 % (521686)Time elapsed: 0.059 s
% 4.32/1.02 % (521686)Peak memory usage: 13 MB
% 4.32/1.02 % (521686)Instructions burned: 116 (million)
% 4.32/1.02 % (521698)Instruction limit reached!
% 4.32/1.02 % (521698)------------------------------
% 4.32/1.02 % (521698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.02 % (521698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.02 % (521698)CaDiCaL version: 2.1.3
% 4.32/1.02 % (521698)Termination reason: Instruction limit
% 4.32/1.02 % (521698)Termination phase: Saturation
% 4.32/1.02 % (521698)Time elapsed: 0.037 s
% 4.32/1.02 % (521698)Peak memory usage: 13 MB
% 4.32/1.02 % (521698)Instructions burned: 135 (million)
% 4.32/1.02 % (521703)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3516663072:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.32/1.02 % (521687)Instruction limit reached!
% 20.03/3.13 % (521687)------------------------------
% 20.03/3.13 % (521687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.13 % (521687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.13 % (521702)ott-21_1_sil=16000:fs=off:random_seed=1185005159:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.03/3.13 % (521687)CaDiCaL version: 2.1.3
% 20.03/3.13 % (521687)Termination reason: Instruction limit
% 20.03/3.13 % (521687)Termination phase: Saturation
% 20.03/3.13 % (521687)Time elapsed: 0.071 s
% 20.03/3.13 % (521687)Peak memory usage: 13 MB
% 20.03/3.13 % (521687)Instructions burned: 132 (million)
% 20.03/3.13 % (521706)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3260517872:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.03/3.13 % Exception at run slice level
% 20.03/3.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.03/3.13 % (521688)Instruction limit reached!
% 20.03/3.13 % (521688)------------------------------
% 20.03/3.13 % (521688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.13 % (521688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.13 % (521688)CaDiCaL version: 2.1.3
% 20.03/3.13 % (521688)Termination reason: Instruction limit
% 20.03/3.13 % (521688)Termination phase: Saturation
% 20.03/3.13 % (521688)Time elapsed: 0.105 s
% 20.03/3.13 % (521688)Peak memory usage: 13 MB
% 20.03/3.13 % (521688)Instructions burned: 160 (million)
% 20.03/3.13 % (521708)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4136254422:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 20.03/3.13 % (521709)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2201249732:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 20.03/3.13 % Exception at run slice level
% 20.03/3.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.03/3.13 % (521702)Instruction limit reached!
% 20.03/3.13 % (521702)------------------------------
% 20.03/3.13 % (521702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.13 % (521702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.13 % (521702)CaDiCaL version: 2.1.3
% 20.03/3.13 % (521702)Termination reason: Instruction limit
% 20.03/3.13 % (521702)Termination phase: Saturation
% 20.03/3.13 % (521702)Time elapsed: 0.088 s
% 20.03/3.13 % (521702)Peak memory usage: 12 MB
% 20.03/3.13 % (521702)Instructions burned: 181 (million)
% 20.03/3.13 % (521712)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=1511502535: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)
% 20.03/3.13 % (521712)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.03/3.13 % (521713)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2734610977:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 20.03/3.13 % (521713)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.03/3.13 % (521703)Instruction limit reached!
% 20.03/3.13 % (521703)------------------------------
% 20.03/3.13 % (521703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.03/3.13 % (521703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.03/3.13 % (521703)CaDiCaL version: 2.1.3
% 20.03/3.13 % (521703)Termination reason: Instruction limit
% 20.03/3.13 % (521703)Termination phase: Saturation
% 20.03/3.13 % (521703)Time elapsed: 0.131 s
% 20.03/3.13 % (521703)Peak memory usage: 14 MB
% 20.03/3.13 % (521703)Instructions burned: 482 (million)
% 20.03/3.13 % (521716)fmb+10_1_sil=64000:random_seed=1845305950:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 20.03/3.13 % (521716)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.03/3.13 % Exception at run slice level
% 20.03/3.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.03/3.13 % (521718)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1847975662:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 20.03/3.13 % Exception at run slice level
% 20.03/3.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.03/3.13 % (521720)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2637094997:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521722)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=378353607:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 34.28/5.10 % (521722)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.28/5.10 % (521699)Instruction limit reached!
% 34.28/5.10 % (521699)------------------------------
% 34.28/5.10 % (521699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521699)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521699)Termination reason: Instruction limit
% 34.28/5.10 % (521699)Termination phase: Saturation
% 34.28/5.10 % (521699)Time elapsed: 0.334 s
% 34.28/5.10 % (521699)Peak memory usage: 14 MB
% 34.28/5.10 % (521699)Instructions burned: 685 (million)
% 34.28/5.10 % (521724)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2765626679:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 34.28/5.10 % (521724)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.28/5.10 % (521724)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.28/5.10 % (521708)Instruction limit reached!
% 34.28/5.10 % (521708)------------------------------
% 34.28/5.10 % (521708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521708)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521708)Termination reason: Instruction limit
% 34.28/5.10 % (521708)Termination phase: Saturation
% 34.28/5.10 % (521708)Time elapsed: 0.372 s
% 34.28/5.10 % (521708)Peak memory usage: 23 MB
% 34.28/5.10 % (521708)Instructions burned: 1180 (million)
% 34.28/5.10 % (521726)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1217008957:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521728)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3605891411:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521730)ott-2_1_sil=16000:newcnf=on:random_seed=3621640871:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 34.28/5.10 % (521730)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.28/5.10 % (521712)Instruction limit reached!
% 34.28/5.10 % (521712)------------------------------
% 34.28/5.10 % (521712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521712)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521712)Termination reason: Instruction limit
% 34.28/5.10 % (521712)Termination phase: Saturation
% 34.28/5.10 % (521712)Time elapsed: 0.405 s
% 34.28/5.10 % (521712)Peak memory usage: 19 MB
% 34.28/5.10 % (521712)Instructions burned: 692 (million)
% 34.28/5.10 % (521732)ott+10_1_sil=32000:tgt=ground:random_seed=181362876:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 34.28/5.10 % (521713)Instruction limit reached!
% 34.28/5.10 % (521713)------------------------------
% 34.28/5.10 % (521713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521713)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521713)Termination reason: Instruction limit
% 34.28/5.10 % (521713)Termination phase: Saturation
% 34.28/5.10 % (521713)Time elapsed: 0.534 s
% 34.28/5.10 % (521713)Peak memory usage: 17 MB
% 34.28/5.10 % (521713)Instructions burned: 880 (million)
% 34.28/5.10 % (521734)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=798074415:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521736)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3462242217:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 34.28/5.10 % (521736)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.28/5.10 % (521730)Instruction limit reached!
% 34.28/5.10 % (521730)------------------------------
% 34.28/5.10 % (521730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521730)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521730)Termination reason: Instruction limit
% 34.28/5.10 % (521730)Termination phase: Saturation
% 34.28/5.10 % (521730)Time elapsed: 0.235 s
% 34.28/5.10 % (521730)Peak memory usage: 18 MB
% 34.28/5.10 % (521730)Instructions burned: 870 (million)
% 34.28/5.10 % (521738)dis+21_1_sil=32000:sas=cadical:random_seed=330329354:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 34.28/5.10 % (521724)Instruction limit reached!
% 34.28/5.10 % (521724)------------------------------
% 34.28/5.10 % (521724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521724)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521724)Termination reason: Instruction limit
% 34.28/5.10 % (521724)Termination phase: Saturation
% 34.28/5.10 % (521724)Time elapsed: 0.811 s
% 34.28/5.10 % (521724)Peak memory usage: 29 MB
% 34.28/5.10 % (521724)Instructions burned: 1474 (million)
% 34.28/5.10 % (521744)ott+11_1_sil=16000:gs=on:random_seed=3214972957:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 34.28/5.10 % (521744)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.28/5.10 % (521738)Instruction limit reached!
% 34.28/5.10 % (521738)------------------------------
% 34.28/5.10 % (521738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521738)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521738)Termination reason: Instruction limit
% 34.28/5.10 % (521738)Termination phase: Saturation
% 34.28/5.10 % (521738)Time elapsed: 1.064 s
% 34.28/5.10 % (521738)Peak memory usage: 24 MB
% 34.28/5.10 % (521738)Instructions burned: 3774 (million)
% 34.28/5.10 % (521751)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1217057233:fmbsr=1.6:i=67534_2980 on theBenchmark for (2980ds/67534Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521753)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3496329394:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2980 on theBenchmark for (2980ds/4591Mi)
% 34.28/5.10 % (521744)Instruction limit reached!
% 34.28/5.10 % (521744)------------------------------
% 34.28/5.10 % (521744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521744)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521744)Termination reason: Instruction limit
% 34.28/5.10 % (521744)Termination phase: Saturation
% 34.28/5.10 % (521744)Time elapsed: 1.129 s
% 34.28/5.10 % (521744)Peak memory usage: 28 MB
% 34.28/5.10 % (521744)Instructions burned: 2252 (million)
% 34.28/5.10 % (521755)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2717007799:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 34.28/5.10 % (521736)Instruction limit reached!
% 34.28/5.10 % (521736)------------------------------
% 34.28/5.10 % (521736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521736)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521736)Termination reason: Instruction limit
% 34.28/5.10 % (521736)Termination phase: Saturation
% 34.28/5.10 % (521736)Time elapsed: 1.701 s
% 34.28/5.10 % (521736)Peak memory usage: 23 MB
% 34.28/5.10 % (521736)Instructions burned: 3513 (million)
% 34.28/5.10 % (521757)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3061163269:i=5211_2974 on theBenchmark for (2974ds/5211Mi)
% 34.28/5.10 % (521722)Instruction limit reached!
% 34.28/5.10 % (521722)------------------------------
% 34.28/5.10 % (521722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521722)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521722)Termination reason: Instruction limit
% 34.28/5.10 % (521722)Termination phase: Saturation
% 34.28/5.10 % (521722)Time elapsed: 2.559 s
% 34.28/5.10 % (521722)Peak memory usage: 25 MB
% 34.28/5.10 % (521722)Instructions burned: 5132 (million)
% 34.28/5.10 % (521761)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3495427445:i=5497:nm=2_2970 on theBenchmark for (2970ds/5497Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521763)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2438892188:fmbsr=2:i=46332_2970 on theBenchmark for (2970ds/46332Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521766)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=268457747:i=14071_2970 on theBenchmark for (2970ds/14071Mi)
% 34.28/5.10 % Exception at run slice level
% 34.28/5.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.28/5.10 % (521769)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2323575719:i=22565:add=on:rawr=on_2970 on theBenchmark for (2970ds/22565Mi)
% 34.28/5.10 % (521753)Instruction limit reached!
% 34.28/5.10 % (521753)------------------------------
% 34.28/5.10 % (521753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521753)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521753)Termination reason: Instruction limit
% 34.28/5.10 % (521753)Termination phase: Saturation
% 34.28/5.10 % (521753)Time elapsed: 1.429 s
% 34.28/5.10 % (521753)Peak memory usage: 60 MB
% 34.28/5.10 % (521753)Instructions burned: 4593 (million)
% 34.28/5.10 % (521732)Instruction limit reached!
% 34.28/5.10 % (521732)------------------------------
% 34.28/5.10 % (521732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.10 % (521732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.10 % (521732)CaDiCaL version: 2.1.3
% 34.28/5.10 % (521732)Termination reason: Instruction limit
% 34.28/5.10 % (521732)Termination phase: Saturation
% 34.28/5.10 % (521732)Time elapsed: 2.709 s
% 34.28/5.10 % (521732)Peak memory usage: 53 MB
% 34.28/5.10 % (521732)Instructions burned: 5116 (million)
% 34.28/5.10 % (521771)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2608900656:i=8173:av=off_2966 on theBenchmark for (2966ds/8173Mi)
% 34.28/5.10 % (521772)dis+10_16:1_sil=16000:random_seed=655726261:i=9155:fsr=off_2966 on theBenchmark for (2966ds/9155Mi)
% 34.28/5.10 % (521755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-521677-521755"...
% 34.28/5.10 % (521755)...printing done.
% 34.28/5.10 % (521755)Refutation found. Thanks to Tanya!
% 34.28/5.10 % SZS status Theorem for theBenchmark
% 34.28/5.10 % SZS output start Proof for theBenchmark
% 34.28/5.10 thf(type_def_5, type, 'type/realax/real': $tType).
% 34.28/5.10 thf(type_def_6, type, 'type/nums/num': $tType).
% 34.28/5.10 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 34.28/5.10 thf(type_def_8, type, sK2: $tType).
% 34.28/5.10 thf(type_def_9, type, sK3: $tType).
% 34.28/5.10 thf(func_def_0, type, 'const/trivia/o': !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X1 > X0) > X1 > X2))).
% 34.28/5.10 thf(func_def_1, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 34.28/5.10 thf(func_def_2, type, 'const/sets/IMAGE': !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1 > $o))).
% 34.28/5.10 thf(func_def_3, type, 'const/sets/FINITE': !>[X0: $tType]:(((X0 > $o) > $o))).
% 34.28/5.10 thf(func_def_4, type, 'const/realax/real_of_num': ('type/nums/num' > 'type/realax/real')).
% 34.28/5.10 thf(func_def_5, type, 'const/realax/real_add': ('type/realax/real' > 'type/realax/real' > 'type/realax/real')).
% 34.28/5.10 thf(func_def_6, type, 'const/nums/NUMERAL': ('type/nums/num' > 'type/nums/num')).
% 34.28/5.10 thf(func_def_7, type, 'const/nums/_0': 'type/nums/num').
% 34.28/5.10 thf(func_def_8, type, 'const/iterate/sum': !>[X0: $tType]:(((X0 > $o) > (X0 > 'type/realax/real') > 'type/realax/real'))).
% 34.28/5.10 thf(func_def_9, type, 'const/iterate/neutral': !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 34.28/5.10 thf(func_def_10, type, 'const/iterate/monoidal': !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 34.28/5.10 thf(func_def_11, type, 'const/iterate/iterate': !>[X0: $tType, X1: $tType]:(((X1 > X1 > X1) > (X0 > $o) > (X0 > X1) > X1))).
% 34.28/5.10 thf(func_def_15, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > (X1 > X2) > (X2 > X0) > (X0 > X0 > X0) > X1))).
% 34.28/5.10 thf(func_def_16, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > (X1 > X2) > (X2 > X0) > (X0 > X0 > X0) > X1))).
% 34.28/5.10 thf(func_def_17, type, sK4: (sK3 > 'type/realax/real')).
% 34.28/5.10 thf(func_def_18, type, sK5: (sK2 > sK3)).
% 34.28/5.10 thf(func_def_19, type, sK6: (sK2 > $o)).
% 34.28/5.10 thf(func_def_20, type, vNOT: ($o > $o)).
% 34.28/5.10 thf(func_def_22, type, db0: !>[X0: $tType]:(X0)).
% 34.28/5.10 thf(func_def_23, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 34.28/5.10 thf(func_def_24, type, db1: !>[X0: $tType]:(X0)).
% 34.28/5.10 thf(func_def_25, type, db2: !>[X0: $tType]:(X0)).
% 34.28/5.10 thf(func_def_26, type, sK8: !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > (X1 > $o) > (X1 > sK2 > sK2) > ($o > X0) > sK2))).
% 34.28/5.10 thf(func_def_27, type, sK9: ($o > sK2)).
% 34.28/5.10 thf(func_def_28, type, sK10: ($o > sK2)).
% 34.28/5.10 thf(func_def_29, type, sK11: ($o > sK2)).
% 34.28/5.10 thf(func_def_30, type, sK12: ($o > sK2)).
% 34.28/5.10 thf(f1,axiom,(
% 34.28/5.10 ! [X2 : $tType,X1 : $tType,X0 : $tType,X3 : (X2 > X2 > X2)] : (('const/iterate/monoidal' @ X2 @ X3) => ! [X4 : (X0 > X2),X5 : (X1 > X0),X6 : (X1 > $o)] : ((! [X7 : X1,X8 : X1] : (((((X5 @ X7)) = ((X5 @ X8))) & (X7 != X8) & ('const/sets/IN' @ X1 @ X8 @ X6) & ('const/sets/IN' @ X1 @ X7 @ X6)) => (((X4 @ (X5 @ X7))) = (('const/iterate/neutral' @ X2 @ X3)))) & ('const/sets/FINITE' @ X1 @ X6)) => ((('const/iterate/iterate' @ X0 @ X2 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X2 @ X3 @ X6 @ ('const/trivia/o' @ X0 @ X1 @ X2 @ X4 @ X5))))))),
% 34.28/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/ITERATE_IMAGE_NONZERO_')).
% 34.28/5.10 thf(f2,axiom,(
% 34.28/5.10 ('const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add')),
% 34.28/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_REAL_ADD_')).
% 34.28/5.10 thf(f3,axiom,(
% 34.28/5.10 ! [X0 : $tType] : ('const/iterate/sum' @ X0 = (('const/iterate/iterate' @ X0 @ 'type/realax/real' @ 'const/realax/real_add')))),
% 34.28/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/sum_')).
% 34.28/5.10 thf(f4,axiom,(
% 34.28/5.10 ((('const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add')) = (('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))))),
% 34.28/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/NEUTRAL_REAL_ADD_')).
% 34.28/5.10 thf(f5,conjecture,(
% 34.28/5.10 ! [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/realax/real'),X3 : (X0 > X1),X4 : (X0 > $o)] : ((! [X5 : X0,X6 : X0] : (((((X3 @ X5)) = ((X3 @ X6))) & (X5 != X6) & ('const/sets/IN' @ X0 @ X6 @ X4) & ('const/sets/IN' @ X0 @ X5 @ X4)) => (((X2 @ (X3 @ X5))) = (('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))))) & ('const/sets/FINITE' @ X0 @ X4)) => ((('const/iterate/sum' @ X1 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4) @ X2)) = (('const/iterate/sum' @ X0 @ X4 @ ('const/trivia/o' @ X1 @ X0 @ 'type/realax/real' @ X2 @ X3)))))),
% 34.28/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_IMAGE_NONZERO_')).
% 34.28/5.10 thf(f6,negated_conjecture,(
% 34.28/5.10 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/realax/real'),X3 : (X0 > X1),X4 : (X0 > $o)] : ((! [X5 : X0,X6 : X0] : (((((X3 @ X5)) = ((X3 @ X6))) & (X5 != X6) & ('const/sets/IN' @ X0 @ X6 @ X4) & ('const/sets/IN' @ X0 @ X5 @ X4)) => (((X2 @ (X3 @ X5))) = (('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))))) & ('const/sets/FINITE' @ X0 @ X4)) => ((('const/iterate/sum' @ X1 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4) @ X2)) = (('const/iterate/sum' @ X0 @ X4 @ ('const/trivia/o' @ X1 @ X0 @ 'type/realax/real' @ X2 @ X3)))))),
% 34.28/5.10 inference(negated_conjecture,[status(cth)],[f5])).
% 34.28/5.10 thf(f7,plain,(
% 34.28/5.10 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (('const/iterate/monoidal' @ X0 @ X3) => ! [X4 : (X2 > X0),X5 : (X1 > X2),X6 : (X1 > $o)] : ((! [X7 : X1,X8 : X1] : (((((X5 @ X7)) = ((X5 @ X8))) & (X7 != X8) & ('const/sets/IN' @ X1 @ X8 @ X6) & ('const/sets/IN' @ X1 @ X7 @ X6)) => (((X4 @ (X5 @ X7))) = (('const/iterate/neutral' @ X0 @ X3)))) & ('const/sets/FINITE' @ X1 @ X6)) => ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5))))))),
% 34.28/5.10 inference(rectify,[],[f1])).
% 34.28/5.10 thf(f8,plain,(
% 34.28/5.10 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (((('const/iterate/monoidal' @ X0 @ X3)) = $true) => ! [X4 : (X2 > X0),X5 : (X1 > X2),X6 : (X1 > $o)] : ((! [X7 : X1,X8 : X1] : (((((X5 @ X7)) = ((X5 @ X8))) & (X7 != X8) & ((('const/sets/IN' @ X1 @ X8 @ X6)) = $true) & ((('const/sets/IN' @ X1 @ X7 @ X6)) = $true)) => (((X4 @ (X5 @ X7))) = (('const/iterate/neutral' @ X0 @ X3)))) & ((('const/sets/FINITE' @ X1 @ X6)) = $true)) => ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5))))))),
% 34.28/5.10 inference(fool_elimination,[],[f7])).
% 34.28/5.10 thf(f9,plain,(
% 34.28/5.10 ('const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add')),
% 34.28/5.10 inference(rectify,[],[f2])).
% 34.28/5.10 thf(f10,plain,(
% 34.28/5.10 ((('const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add')) = $true)),
% 34.28/5.10 inference(fool_elimination,[],[f9])).
% 34.28/5.10 thf(f11,plain,(
% 34.28/5.10 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/realax/real'),X3 : (X0 > X1),X4 : (X0 > $o)] : ((! [X5 : X0,X6 : X0] : (((((X3 @ X5)) = ((X3 @ X6))) & (X5 != X6) & ('const/sets/IN' @ X0 @ X6 @ X4) & ('const/sets/IN' @ X0 @ X5 @ X4)) => (((X2 @ (X3 @ X5))) = (('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))))) & ('const/sets/FINITE' @ X0 @ X4)) => ((('const/iterate/sum' @ X1 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4) @ X2)) = (('const/iterate/sum' @ X0 @ X4 @ ('const/trivia/o' @ X1 @ X0 @ 'type/realax/real' @ X2 @ X3)))))),
% 34.28/5.10 inference(rectify,[],[f6])).
% 34.28/5.10 thf(f12,plain,(
% 34.28/5.10 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/realax/real'),X3 : (X0 > X1),X4 : (X0 > $o)] : ((! [X5 : X0,X6 : X0] : (((((X3 @ X5)) = ((X3 @ X6))) & (X5 != X6) & ((('const/sets/IN' @ X0 @ X6 @ X4)) = $true) & ((('const/sets/IN' @ X0 @ X5 @ X4)) = $true)) => ((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) = ((X2 @ (X3 @ X5))))) & ((('const/sets/FINITE' @ X0 @ X4)) = $true)) => ((('const/iterate/sum' @ X1 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4) @ X2)) = (('const/iterate/sum' @ X0 @ X4 @ ('const/trivia/o' @ X1 @ X0 @ 'type/realax/real' @ X2 @ X3)))))),
% 34.28/5.10 inference(fool_elimination,[],[f11])).
% 34.28/5.10 thf(f13,plain,(
% 34.28/5.10 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (! [X4 : (X2 > X0),X5 : (X1 > X2),X6 : (X1 > $o)] : (((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5)))) | (? [X7 : X1,X8 : X1] : ((((X4 @ (X5 @ X7))) != (('const/iterate/neutral' @ X0 @ X3))) & ((((X5 @ X7)) = ((X5 @ X8))) & (X7 != X8) & ((('const/sets/IN' @ X1 @ X8 @ X6)) = $true) & ((('const/sets/IN' @ X1 @ X7 @ X6)) = $true))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true))) | ((('const/iterate/monoidal' @ X0 @ X3)) != $true))),
% 34.28/5.10 inference(ennf_transformation,[],[f8])).
% 34.28/5.10 thf(f14,plain,(
% 34.28/5.10 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (! [X4 : (X2 > X0),X5 : (X1 > X2),X6 : (X1 > $o)] : (((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5)))) | ? [X7 : X1,X8 : X1] : ((((X4 @ (X5 @ X7))) != (('const/iterate/neutral' @ X0 @ X3))) & (((X5 @ X7)) = ((X5 @ X8))) & (X7 != X8) & ((('const/sets/IN' @ X1 @ X8 @ X6)) = $true) & ((('const/sets/IN' @ X1 @ X7 @ X6)) = $true)) | ((('const/sets/FINITE' @ X1 @ X6)) != $true)) | ((('const/iterate/monoidal' @ X0 @ X3)) != $true))),
% 34.28/5.10 inference(flattening,[],[f13])).
% 34.28/5.10 thf(f15,plain,(
% 34.28/5.10 ? [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/realax/real'),X3 : (X0 > X1),X4 : (X0 > $o)] : (((('const/iterate/sum' @ X1 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4) @ X2)) != (('const/iterate/sum' @ X0 @ X4 @ ('const/trivia/o' @ X1 @ X0 @ 'type/realax/real' @ X2 @ X3)))) & (! [X5 : X0,X6 : X0] : (((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) = ((X2 @ (X3 @ X5)))) | ((((X3 @ X5)) != ((X3 @ X6))) | (X5 = X6) | ((('const/sets/IN' @ X0 @ X6 @ X4)) != $true) | ((('const/sets/IN' @ X0 @ X5 @ X4)) != $true))) & ((('const/sets/FINITE' @ X0 @ X4)) = $true)))),
% 34.28/5.10 inference(ennf_transformation,[],[f12])).
% 34.28/5.10 thf(f16,plain,(
% 34.28/5.10 ? [X0 : $tType,X1 : $tType,X2 : (X1 > 'type/realax/real'),X3 : (X0 > X1),X4 : (X0 > $o)] : (((('const/iterate/sum' @ X1 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4) @ X2)) != (('const/iterate/sum' @ X0 @ X4 @ ('const/trivia/o' @ X1 @ X0 @ 'type/realax/real' @ X2 @ X3)))) & ! [X5 : X0,X6 : X0] : (((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) = ((X2 @ (X3 @ X5)))) | (((X3 @ X5)) != ((X3 @ X6))) | (X5 = X6) | ((('const/sets/IN' @ X0 @ X6 @ X4)) != $true) | ((('const/sets/IN' @ X0 @ X5 @ X4)) != $true)) & ((('const/sets/FINITE' @ X0 @ X4)) = $true))),
% 34.28/5.10 inference(flattening,[],[f15])).
% 34.28/5.10 thf(f17,plain,(
% 34.28/5.10 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (! [X4 : (X2 > X0),X5 : (X1 > X2),X6 : (X1 > $o)] : (((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5)))) | (((('const/iterate/neutral' @ X0 @ X3)) != ((X4 @ (X5 @ (sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3))))) & (((X5 @ (sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3))) = ((X5 @ (sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3)))) & (((sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3)) != ((sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3))) & ($true = (('const/sets/IN' @ X1 @ (sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3) @ X6))) & ($true = (('const/sets/IN' @ X1 @ (sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3) @ X6)))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true)) | ((('const/iterate/monoidal' @ X0 @ X3)) != $true))),
% 34.28/5.10 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X8,sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3),skolemize(X8,sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3)],[f14])).
% 34.28/5.10 thf(f18,plain,(
% 34.28/5.10 ((('const/iterate/sum' @ sK3 @ ('const/sets/IMAGE' @ sK2 @ sK3 @ sK5 @ sK6) @ sK4)) != (('const/iterate/sum' @ sK2 @ sK6 @ ('const/trivia/o' @ sK3 @ sK2 @ 'type/realax/real' @ sK4 @ sK5)))) & ! [X5 : sK2,X6 : sK2] : (((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) = ((sK4 @ (sK5 @ X5)))) | (((sK5 @ X5)) != ((sK5 @ X6))) | (X5 = X6) | ($true != (('const/sets/IN' @ sK2 @ X6 @ sK6))) | ($true != (('const/sets/IN' @ sK2 @ X5 @ sK6)))) & ($true = (('const/sets/FINITE' @ sK2 @ sK6)))),
% 34.28/5.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f16])).
% 34.28/5.10 thf(f19,plain,(
% 34.28/5.10 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X0 > X0),X6 : (X1 > $o),X4 : (X2 > X0),X5 : (X1 > X2)] : (((('const/iterate/monoidal' @ X0 @ X3)) != $true) | ($true = (('const/sets/IN' @ X1 @ (sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3) @ X6))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true) | ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5))))) )),
% 34.28/5.10 inference(cnf_transformation,[],[f17])).
% 34.28/5.10 thf(f20,plain,(
% 34.28/5.10 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X0 > X0),X6 : (X1 > $o),X4 : (X2 > X0),X5 : (X1 > X2)] : (((('const/iterate/monoidal' @ X0 @ X3)) != $true) | ($true = (('const/sets/IN' @ X1 @ (sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3) @ X6))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true) | ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5))))) )),
% 34.28/5.10 inference(cnf_transformation,[],[f17])).
% 34.28/5.10 thf(f21,plain,(
% 34.28/5.10 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X0 > X0),X6 : (X1 > $o),X4 : (X2 > X0),X5 : (X1 > X2)] : ((((sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3)) != ((sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3))) | ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5)))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true) | ((('const/iterate/monoidal' @ X0 @ X3)) != $true)) )),
% 34.28/5.10 inference(cnf_transformation,[],[f17])).
% 34.28/5.10 thf(f22,plain,(
% 34.28/5.10 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X0 > X0),X6 : (X1 > $o),X4 : (X2 > X0),X5 : (X1 > X2)] : (((('const/iterate/monoidal' @ X0 @ X3)) != $true) | (((X5 @ (sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3))) = ((X5 @ (sK1 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3)))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true) | ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5))))) )),
% 34.28/5.10 inference(cnf_transformation,[],[f17])).
% 34.28/5.10 thf(f23,plain,(
% 34.28/5.10 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X0 > X0),X6 : (X1 > $o),X4 : (X2 > X0),X5 : (X1 > X2)] : (((('const/iterate/neutral' @ X0 @ X3)) != ((X4 @ (X5 @ (sK0 @ X0 @ X1 @ X2 @ X6 @ X5 @ X4 @ X3))))) | ((('const/iterate/iterate' @ X2 @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X2 @ X5 @ X6) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ ('const/trivia/o' @ X2 @ X1 @ X0 @ X4 @ X5)))) | ((('const/sets/FINITE' @ X1 @ X6)) != $true) | ((('const/iterate/monoidal' @ X0 @ X3)) != $true)) )),
% 34.28/5.10 inference(cnf_transformation,[],[f17])).
% 34.28/5.10 thf(f24,plain,(
% 34.28/5.10 ((('const/iterate/monoidal' @ 'type/realax/real' @ 'const/realax/real_add')) = $true)),
% 34.28/5.10 inference(cnf_transformation,[],[f10])).
% 34.28/5.10 thf(f25,plain,(
% 34.28/5.10 ( ! [X0 : $tType] : (('const/iterate/sum' @ X0 = (('const/iterate/iterate' @ X0 @ 'type/realax/real' @ 'const/realax/real_add')))) )),
% 34.28/5.10 inference(cnf_transformation,[],[f3])).
% 34.28/5.10 thf(f26,plain,(
% 34.28/5.10 ((('const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add')) = (('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))))),
% 34.28/5.10 inference(cnf_transformation,[],[f4])).
% 34.28/5.10 thf(f27,plain,(
% 34.28/5.10 ($true = (('const/sets/FINITE' @ sK2 @ sK6)))),
% 34.28/5.10 inference(cnf_transformation,[],[f18])).
% 34.28/5.10 thf(f28,plain,(
% 34.28/5.10 ( ! [X6 : sK2,X5 : sK2] : (($true != (('const/sets/IN' @ sK2 @ X6 @ sK6))) | (((sK5 @ X5)) != ((sK5 @ X6))) | (X5 = X6) | ((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) = ((sK4 @ (sK5 @ X5)))) | ($true != (('const/sets/IN' @ sK2 @ X5 @ sK6)))) )),
% 34.28/5.10 inference(cnf_transformation,[],[f18])).
% 34.28/5.10 thf(f29,plain,(
% 34.28/5.10 ((('const/iterate/sum' @ sK3 @ ('const/sets/IMAGE' @ sK2 @ sK3 @ sK5 @ sK6) @ sK4)) != (('const/iterate/sum' @ sK2 @ sK6 @ ('const/trivia/o' @ sK3 @ sK2 @ 'type/realax/real' @ sK4 @ sK5))))),
% 34.28/5.10 inference(cnf_transformation,[],[f18])).
% 34.28/5.10 thf(f32,plain,(
% 34.28/5.10 ((('const/iterate/iterate' @ sK3 @ 'type/realax/real' @ 'const/realax/real_add' @ ('const/sets/IMAGE' @ sK2 @ sK3 @ sK5 @ sK6) @ sK4)) != (('const/iterate/iterate' @ sK2 @ 'type/realax/real' @ 'const/realax/real_add' @ sK6 @ ('const/trivia/o' @ sK3 @ sK2 @ 'type/realax/real' @ sK4 @ sK5))))),
% 34.28/5.11 inference(definition_unfolding,[],[f29,f25,f25])).
% 34.28/5.11 thf(f48,plain,(
% 34.28/5.11 ($true = (('const/sets/IN' @ sK2 @ (sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add') @ sK6)))),
% 34.28/5.11 inference(unit_resulting_resolution,[],[f19,f27,f24,f32])).
% 34.28/5.11 thf(f59,definition,(
% 34.28/5.11 spl7_1 <=> ((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) = ((sK4 @ (sK5 @ (sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add')))))),
% 34.28/5.11 introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition])).
% 34.28/5.11 thf(f60,plain,(
% 34.28/5.11 ((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) != ((sK4 @ (sK5 @ (sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add'))))) | spl7_1),
% 34.28/5.11 inference(avatar_component_clause,[],[f59])).
% 34.28/5.11 thf(f883,plain,(
% 34.28/5.11 ($true = (('const/sets/IN' @ sK2 @ (sK1 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add') @ sK6)))),
% 34.28/5.11 inference(unit_resulting_resolution,[],[f20,f27,f24,f32])).
% 34.28/5.11 thf(f1921,plain,(
% 34.28/5.11 ((('const/iterate/neutral' @ 'type/realax/real' @ 'const/realax/real_add')) != ((sK4 @ (sK5 @ (sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add')))))),
% 34.28/5.11 inference(unit_resulting_resolution,[],[f23,f27,f24,f32])).
% 34.28/5.11 thf(f2722,plain,(
% 34.28/5.11 ((('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))) != ((sK4 @ (sK5 @ (sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add')))))),
% 34.28/5.11 inference(forward_demodulation,[],[f1921,f26])).
% 34.28/5.11 thf(f2761,plain,(
% 34.28/5.11 ~spl7_1),
% 34.28/5.11 inference(avatar_split_clause,[],[f2722,f59])).
% 34.28/5.11 thf(f7387,plain,(
% 34.28/5.11 (((sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add')) != ((sK1 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add')))),
% 34.28/5.11 inference(unit_resulting_resolution,[],[f21,f27,f24,f32])).
% 34.28/5.11 thf(f7389,plain,(
% 34.28/5.11 (((sK5 @ (sK0 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add'))) != ((sK5 @ (sK1 @ 'type/realax/real' @ sK2 @ sK3 @ sK6 @ sK5 @ sK4 @ 'const/realax/real_add')))) | spl7_1),
% 34.28/5.11 inference(unit_resulting_resolution,[],[f28,f48,f883,f60,f7387])).
% 34.28/5.11 thf(f21265,plain,(
% 34.28/5.11 ($true != (('const/sets/FINITE' @ sK2 @ sK6))) | spl7_1),
% 34.28/5.11 inference(unit_resulting_resolution,[],[f22,f24,f32,f7389])).
% 34.28/5.11 thf(f21278,plain,(
% 34.28/5.11 $false | spl7_1),
% 34.28/5.11 inference(forward_subsumption_resolution,[],[f21265,f27])).
% 34.28/5.11 thf(f21279,plain,(
% 34.28/5.11 spl7_1),
% 34.28/5.11 inference(avatar_contradiction_clause,[],[f21278])).
% 34.28/5.11 cnf(s3, plain, ~spl7_1, inference(sat_conversion,[],[f2761])).
% 34.28/5.11 cnf(s8, plain, spl7_1, inference(sat_conversion,[],[f21279])).
% 34.28/5.11 cnf(s9, plain, $false, inference(rat,[],[s3,s8])).
% 34.28/5.11 thf(f21280,plain,(
% 34.28/5.11 $false),
% 34.28/5.11 inference(avatar_sat_refutation,[],[s9])).
% 34.28/5.11 % SZS output end Proof for theBenchmark
% 34.28/5.11 % (521755)------------------------------
% 34.28/5.11 % (521755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.11 % (521755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.11 % (521755)CaDiCaL version: 2.1.3
% 34.28/5.11 % (521755)Termination reason: Refutation
% 34.28/5.11 % (521755)Time elapsed: 2.463 s
% 34.28/5.11 % (521755)Peak memory usage: 19 MB
% 34.28/5.11 % (521755)Instructions burned: 5363 (million)
% 34.28/5.11 % (521677)Success in time 4.893 s
% 34.28/5.11 % Vampire exiting
%------------------------------------------------------------------------------