%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP097^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:10:41 AM UTC 2026
% Result : Theorem 21.04s 3.34s
% Output : Refutation 21.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP097^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:53:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 5.67/1.12 % (559658)Will run a generic schedule for satisfiability detection.
% 5.67/1.12 % (559666)dis+10_1_sil=32000:sp=arity:random_seed=2876884495:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.67/1.12 % (559664)% WARNING: option uhcvi not known.
% 5.67/1.12 % (559665)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4262593946:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.67/1.12 % (559663)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1817975924_2999 on theBenchmark for (2999ds/0Mi)
% 5.67/1.12 % (559664)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3219991122:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.67/1.12 % (559667)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2158012673:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.67/1.12 % (559668)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1052126259:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.12 % (559669)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3670101860:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.67/1.12 % (559664)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.67/1.12 % (559667)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.67/1.12 % (559666)Instruction limit reached!
% 5.67/1.12 % (559666)------------------------------
% 5.67/1.12 % (559666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (559666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (559666)CaDiCaL version: 2.1.3
% 5.67/1.12 % (559666)Termination reason: Instruction limit
% 5.67/1.12 % (559666)Termination phase: Saturation
% 5.67/1.12 % (559666)Time elapsed: 0.026 s
% 5.67/1.12 % (559666)Peak memory usage: 12 MB
% 5.67/1.12 % (559666)Instructions burned: 106 (million)
% 5.67/1.12 % (559664)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.67/1.12 % Exception at run slice level
% 5.67/1.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.67/1.12 % (559677)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3559443864:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.67/1.12 % Exception at run slice level
% 5.67/1.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.67/1.12 % (559678)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4281532832:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.12 % (559667)Instruction limit reached!
% 5.67/1.12 % (559667)------------------------------
% 5.67/1.12 % (559667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (559667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (559667)CaDiCaL version: 2.1.3
% 5.67/1.12 % (559667)Termination reason: Instruction limit
% 5.67/1.12 % (559667)Termination phase: Saturation
% 5.67/1.12 % (559667)Time elapsed: 0.052 s
% 5.67/1.12 % (559667)Peak memory usage: 13 MB
% 5.67/1.12 % (559667)Instructions burned: 117 (million)
% 5.67/1.12 % (559680)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=2567208842:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.67/1.12 % (559668)Instruction limit reached!
% 5.67/1.12 % (559668)------------------------------
% 5.67/1.12 % (559668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (559668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (559668)CaDiCaL version: 2.1.3
% 5.67/1.12 % (559668)Termination reason: Instruction limit
% 5.67/1.12 % (559668)Termination phase: Saturation
% 5.67/1.12 % (559668)Time elapsed: 0.060 s
% 5.67/1.12 % (559668)Peak memory usage: 13 MB
% 5.67/1.12 % (559668)Instructions burned: 131 (million)
% 5.67/1.12 % (559680)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.67/1.12 % (559680)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.67/1.12 % (559682)ott-21_1_sil=16000:fs=off:random_seed=3045296870:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.67/1.12 % (559684)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1535656774:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.24/2.95 % (559669)Instruction limit reached!
% 18.24/2.95 % (559669)------------------------------
% 18.24/2.95 % (559669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.24/2.95 % (559669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/2.95 % (559669)CaDiCaL version: 2.1.3
% 18.24/2.95 % (559669)Termination reason: Instruction limit
% 18.24/2.95 % (559669)Termination phase: Saturation
% 18.24/2.95 % (559669)Time elapsed: 0.089 s
% 18.24/2.95 % (559669)Peak memory usage: 13 MB
% 18.24/2.95 % (559669)Instructions burned: 159 (million)
% 18.24/2.95 % (559687)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3447415020:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 18.24/2.95 % (559678)Instruction limit reached!
% 18.24/2.95 % (559678)------------------------------
% 18.24/2.95 % (559678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.24/2.95 % (559678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/2.95 % (559678)CaDiCaL version: 2.1.3
% 18.24/2.95 % (559678)Termination reason: Instruction limit
% 18.24/2.95 % (559678)Termination phase: Saturation
% 18.24/2.95 % (559678)Time elapsed: 0.077 s
% 18.24/2.95 % (559678)Peak memory usage: 13 MB
% 18.24/2.95 % (559678)Instructions burned: 131 (million)
% 18.24/2.95 % Exception at run slice level
% 18.24/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.24/2.95 % (559689)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=935491205:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 18.24/2.95 % (559682)Instruction limit reached!
% 18.24/2.95 % (559682)------------------------------
% 18.24/2.95 % (559682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.24/2.95 % (559682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/2.95 % (559682)CaDiCaL version: 2.1.3
% 18.24/2.95 % (559682)Termination reason: Instruction limit
% 18.24/2.95 % (559682)Termination phase: Saturation
% 18.24/2.95 % (559682)Time elapsed: 0.076 s
% 18.24/2.95 % (559682)Peak memory usage: 12 MB
% 18.24/2.95 % (559682)Instructions burned: 182 (million)
% 18.24/2.95 % (559690)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=588472804:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 18.24/2.95 % (559692)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=731462915: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)
% 18.24/2.95 % (559692)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.24/2.95 % Exception at run slice level
% 18.24/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.24/2.95 % (559680)Instruction limit reached!
% 18.24/2.95 % (559680)------------------------------
% 18.24/2.95 % (559680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.24/2.95 % (559680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.24/2.95 % (559680)CaDiCaL version: 2.1.3
% 18.24/2.95 % (559680)Termination reason: Instruction limit
% 18.24/2.95 % (559680)Termination phase: Saturation
% 18.24/2.95 % (559680)Time elapsed: 0.155 s
% 18.24/2.95 % (559680)Peak memory usage: 15 MB
% 18.24/2.95 % (559680)Instructions burned: 685 (million)
% 18.24/2.95 % (559696)fmb+10_1_sil=64000:random_seed=2966050088:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 18.24/2.95 % (559696)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 18.24/2.95 % (559695)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1798219242:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 18.24/2.95 % Exception at run slice level
% 18.24/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.24/2.95 % (559695)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 18.24/2.95 % (559699)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=956493:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 18.24/2.95 % Exception at run slice level
% 18.24/2.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 18.24/2.95 % (559701)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1257993987:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559703)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=514930373:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 21.04/3.34 % (559703)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.04/3.34 % (559684)Instruction limit reached!
% 21.04/3.34 % (559684)------------------------------
% 21.04/3.34 % (559684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559684)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559684)Termination reason: Instruction limit
% 21.04/3.34 % (559684)Termination phase: Saturation
% 21.04/3.34 % (559684)Time elapsed: 0.260 s
% 21.04/3.34 % (559684)Peak memory usage: 14 MB
% 21.04/3.34 % (559684)Instructions burned: 477 (million)
% 21.04/3.34 % (559705)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4051590408:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 21.04/3.34 % (559705)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.04/3.34 % (559705)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.04/3.34 % (559692)Instruction limit reached!
% 21.04/3.34 % (559692)------------------------------
% 21.04/3.34 % (559692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559692)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559692)Termination reason: Instruction limit
% 21.04/3.34 % (559692)Termination phase: Saturation
% 21.04/3.34 % (559692)Time elapsed: 0.300 s
% 21.04/3.34 % (559692)Peak memory usage: 16 MB
% 21.04/3.34 % (559692)Instructions burned: 693 (million)
% 21.04/3.34 % (559707)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3733185700:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559709)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1064177359:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559711)ott-2_1_sil=16000:newcnf=on:random_seed=3979351485:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 21.04/3.34 % (559711)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.04/3.34 % (559689)Instruction limit reached!
% 21.04/3.34 % (559689)------------------------------
% 21.04/3.34 % (559689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559689)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559689)Termination reason: Instruction limit
% 21.04/3.34 % (559689)Termination phase: Saturation
% 21.04/3.34 % (559689)Time elapsed: 0.558 s
% 21.04/3.34 % (559689)Peak memory usage: 18 MB
% 21.04/3.34 % (559689)Instructions burned: 1180 (million)
% 21.04/3.34 % (559713)ott+10_1_sil=32000:tgt=ground:random_seed=434729535:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 21.04/3.34 % (559695)Instruction limit reached!
% 21.04/3.34 % (559695)------------------------------
% 21.04/3.34 % (559695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559695)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559695)Termination reason: Instruction limit
% 21.04/3.34 % (559695)Termination phase: Saturation
% 21.04/3.34 % (559695)Time elapsed: 0.540 s
% 21.04/3.34 % (559695)Peak memory usage: 18 MB
% 21.04/3.34 % (559695)Instructions burned: 879 (million)
% 21.04/3.34 % (559715)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=427257583:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559717)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3371320592:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 21.04/3.34 % (559717)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.04/3.34 % (559711)Instruction limit reached!
% 21.04/3.34 % (559711)------------------------------
% 21.04/3.34 % (559711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559711)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559711)Termination reason: Instruction limit
% 21.04/3.34 % (559711)Termination phase: Saturation
% 21.04/3.34 % (559711)Time elapsed: 0.409 s
% 21.04/3.34 % (559711)Peak memory usage: 17 MB
% 21.04/3.34 % (559711)Instructions burned: 871 (million)
% 21.04/3.34 % (559719)dis+21_1_sil=32000:sas=cadical:random_seed=1007850568:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 21.04/3.34 % (559705)Instruction limit reached!
% 21.04/3.34 % (559705)------------------------------
% 21.04/3.34 % (559705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559705)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559705)Termination reason: Instruction limit
% 21.04/3.34 % (559705)Termination phase: Saturation
% 21.04/3.34 % (559705)Time elapsed: 0.689 s
% 21.04/3.34 % (559705)Peak memory usage: 16 MB
% 21.04/3.34 % (559705)Instructions burned: 1473 (million)
% 21.04/3.34 % (559721)ott+11_1_sil=16000:gs=on:random_seed=89316260:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 21.04/3.34 % (559721)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.04/3.34 % (559703)Instruction limit reached!
% 21.04/3.34 % (559703)------------------------------
% 21.04/3.34 % (559703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559703)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559703)Termination reason: Instruction limit
% 21.04/3.34 % (559703)Termination phase: Saturation
% 21.04/3.34 % (559703)Time elapsed: 1.229 s
% 21.04/3.34 % (559703)Peak memory usage: 25 MB
% 21.04/3.34 % (559703)Instructions burned: 5134 (million)
% 21.04/3.34 % (559723)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4043195098:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559725)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3199362784:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 21.04/3.34 % (559721)Instruction limit reached!
% 21.04/3.34 % (559721)------------------------------
% 21.04/3.34 % (559721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559721)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559721)Termination reason: Instruction limit
% 21.04/3.34 % (559721)Termination phase: Saturation
% 21.04/3.34 % (559721)Time elapsed: 1.081 s
% 21.04/3.34 % (559721)Peak memory usage: 23 MB
% 21.04/3.34 % (559721)Instructions burned: 2253 (million)
% 21.04/3.34 % (559727)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2706532880:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 21.04/3.34 % (559717)Instruction limit reached!
% 21.04/3.34 % (559717)------------------------------
% 21.04/3.34 % (559717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559717)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559717)Termination reason: Instruction limit
% 21.04/3.34 % (559717)Termination phase: Saturation
% 21.04/3.34 % (559717)Time elapsed: 1.751 s
% 21.04/3.34 % (559717)Peak memory usage: 24 MB
% 21.04/3.34 % (559717)Instructions burned: 3513 (million)
% 21.04/3.34 % (559729)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3884566820:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 21.04/3.34 % (559725)Instruction limit reached!
% 21.04/3.34 % (559725)------------------------------
% 21.04/3.34 % (559725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559725)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559725)Termination reason: Instruction limit
% 21.04/3.34 % (559725)Termination phase: Saturation
% 21.04/3.34 % (559725)Time elapsed: 1.111 s
% 21.04/3.34 % (559725)Peak memory usage: 25 MB
% 21.04/3.34 % (559725)Instructions burned: 4595 (million)
% 21.04/3.34 % (559731)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3406180252:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559733)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3923901959:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559735)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=829789176:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 21.04/3.34 % Exception at run slice level
% 21.04/3.34 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.04/3.34 % (559737)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4118491838:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 21.04/3.34 % (559719)Instruction limit reached!
% 21.04/3.34 % (559719)------------------------------
% 21.04/3.34 % (559719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559719)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559719)Termination reason: Instruction limit
% 21.04/3.34 % (559719)Termination phase: Saturation
% 21.04/3.34 % (559719)Time elapsed: 1.795 s
% 21.04/3.34 % (559719)Peak memory usage: 28 MB
% 21.04/3.34 % (559719)Instructions burned: 3773 (million)
% 21.04/3.34 % (559739)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3351292339:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 21.04/3.34 % (559713) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-559658-559713"...
% 21.04/3.34 % (559713)...printing done.
% 21.04/3.34 % (559713)Refutation found. Thanks to Tanya!
% 21.04/3.34 % SZS status Theorem for theBenchmark
% 21.04/3.34 % SZS output start Proof for theBenchmark
% 21.04/3.34 thf(type_def_5, type, set_real: $tType).
% 21.04/3.34 thf(type_def_6, type, real: $tType).
% 21.04/3.34 thf(type_def_7, type, num: $tType).
% 21.04/3.34 thf(type_def_8, type, nat: $tType).
% 21.04/3.34 thf(type_def_9, type, int: $tType).
% 21.04/3.34 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 21.04/3.34 thf(func_def_0, type, archim1371465213g_real: (real > int)).
% 21.04/3.34 thf(func_def_1, type, one_one_int: int).
% 21.04/3.34 thf(func_def_2, type, one_one_nat: nat).
% 21.04/3.34 thf(func_def_3, type, one_one_real: real).
% 21.04/3.34 thf(func_def_4, type, zero_zero_int: int).
% 21.04/3.34 thf(func_def_5, type, zero_zero_nat: nat).
% 21.04/3.34 thf(func_def_6, type, zero_zero_real: real).
% 21.04/3.34 thf(func_def_7, type, if_nat: ($o > nat > nat > nat)).
% 21.04/3.34 thf(func_def_8, type, nat2: (int > nat)).
% 21.04/3.34 thf(func_def_9, type, ring_1_of_int_int: (int > int)).
% 21.04/3.34 thf(func_def_10, type, ring_1_of_int_real: (int > real)).
% 21.04/3.34 thf(func_def_11, type, suc: (nat > nat)).
% 21.04/3.34 thf(func_def_12, type, semiri2019852685at_int: (nat > int)).
% 21.04/3.34 thf(func_def_13, type, semiri1382578993at_nat: (nat > nat)).
% 21.04/3.34 thf(func_def_14, type, semiri2110766477t_real: (nat > real)).
% 21.04/3.34 thf(func_def_15, type, neg_numeral_dbl_int: (int > int)).
% 21.04/3.34 thf(func_def_16, type, neg_numeral_dbl_real: (real > real)).
% 21.04/3.34 thf(func_def_17, type, bit0: (num > num)).
% 21.04/3.34 thf(func_def_18, type, one: num).
% 21.04/3.34 thf(func_def_19, type, numeral_numeral_int: (num > int)).
% 21.04/3.34 thf(func_def_20, type, numeral_numeral_nat: (num > nat)).
% 21.04/3.34 thf(func_def_21, type, numeral_numeral_real: (num > real)).
% 21.04/3.34 thf(func_def_22, type, pow: (num > num > num)).
% 21.04/3.34 thf(func_def_23, type, ord_less_int: (int > int > $o)).
% 21.04/3.34 thf(func_def_24, type, ord_less_eq_int: (int > int > $o)).
% 21.04/3.34 thf(func_def_25, type, ord_less_eq_nat: (nat > nat > $o)).
% 21.04/3.34 thf(func_def_26, type, ord_less_eq_num: (num > num > $o)).
% 21.04/3.34 thf(func_def_27, type, ord_less_eq_real: (real > real > $o)).
% 21.04/3.34 thf(func_def_28, type, power_power_int: (int > nat > int)).
% 21.04/3.34 thf(func_def_29, type, power_power_nat: (nat > nat > nat)).
% 21.04/3.34 thf(func_def_30, type, power_power_real: (real > nat > real)).
% 21.04/3.34 thf(func_def_31, type, collect_real: ((real > $o) > set_real)).
% 21.04/3.34 thf(func_def_32, type, log: (real > real > real)).
% 21.04/3.34 thf(func_def_33, type, powr_real: (real > real > real)).
% 21.04/3.34 thf(func_def_34, type, member_real: (real > set_real > $o)).
% 21.04/3.34 thf(func_def_35, type, d: int).
% 21.04/3.34 thf(func_def_36, type, n: nat).
% 21.04/3.34 thf(func_def_38, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 21.04/3.34 thf(func_def_39, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 21.04/3.34 thf(func_def_40, type, db0: !>[X0: $tType]:(X0)).
% 21.04/3.34 thf(func_def_41, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 21.04/3.34 thf(func_def_44, type, vNOT: ($o > $o)).
% 21.04/3.34 thf(func_def_45, type, vOR: ($o > $o > $o)).
% 21.04/3.34 thf(func_def_46, type, db1: !>[X0: $tType]:(X0)).
% 21.04/3.34 thf(func_def_47, type, vAND: ($o > $o > $o)).
% 21.04/3.34 thf(func_def_48, type, vIMP: ($o > $o > $o)).
% 21.04/3.34 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 21.04/3.34 thf(func_def_50, type, sK0: (real > int)).
% 21.04/3.34 thf(func_def_51, type, sK1: (set_real > real)).
% 21.04/3.34 thf(func_def_52, type, sK2: (real > set_real > real)).
% 21.04/3.34 thf(func_def_53, type, sK3: (real > set_real > real)).
% 21.04/3.34 thf(func_def_54, type, sK4: (real > nat)).
% 21.04/3.34 thf(func_def_55, type, sK5: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_56, type, sK6: (nat > (nat > $o) > nat)).
% 21.04/3.34 thf(func_def_57, type, sK7: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_58, type, sK8: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_59, type, sK9: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_60, type, sK10: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_61, type, sK11: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_62, type, sK12: ((nat > $o) > nat > nat)).
% 21.04/3.34 thf(func_def_63, type, sK13: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_64, type, sK14: (nat > nat)).
% 21.04/3.34 thf(func_def_65, type, sK15: ((nat > int) > nat)).
% 21.04/3.34 thf(func_def_66, type, sK16: ((nat > nat) > nat)).
% 21.04/3.34 thf(func_def_67, type, sK17: ((nat > real) > nat)).
% 21.04/3.34 thf(func_def_68, type, sK18: ((nat > num) > nat)).
% 21.04/3.34 thf(func_def_69, type, sK19: ((nat > int) > nat)).
% 21.04/3.34 thf(func_def_70, type, sK20: ((nat > nat) > nat)).
% 21.04/3.34 thf(func_def_71, type, sK21: ((nat > real) > nat)).
% 21.04/3.34 thf(func_def_72, type, sK22: ((nat > num) > nat)).
% 21.04/3.34 thf(func_def_73, type, sK23: (int > nat)).
% 21.04/3.34 thf(func_def_74, type, sK24: (int > nat)).
% 21.04/3.34 thf(func_def_75, type, sK25: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_76, type, sK26: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_77, type, sK27: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_78, type, sK28: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_79, type, sK29: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_80, type, sK30: ((nat > nat > $o) > nat)).
% 21.04/3.34 thf(func_def_81, type, sK31: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_82, type, sK32: (nat > nat)).
% 21.04/3.34 thf(func_def_83, type, sK33: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_84, type, sK34: (nat > nat)).
% 21.04/3.34 thf(func_def_85, type, sF35: num).
% 21.04/3.34 thf(func_def_86, type, sF36: int).
% 21.04/3.34 thf(func_def_87, type, sF37: real).
% 21.04/3.34 thf(func_def_88, type, sF38: real).
% 21.04/3.34 thf(func_def_89, type, sF39: real).
% 21.04/3.34 thf(func_def_90, type, sF40: int).
% 21.04/3.34 thf(func_def_91, type, sF41: nat).
% 21.04/3.34 thf(func_def_92, type, sF42: int).
% 21.04/3.34 thf(func_def_93, type, sF43: $o).
% 21.04/3.34 thf(func_def_94, type, sK44: (real > int)).
% 21.04/3.34 thf(func_def_95, type, sK45: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_96, type, sK46: ((nat > $o) > int)).
% 21.04/3.34 thf(func_def_97, type, sK47: ((nat > $o) > int)).
% 21.04/3.34 thf(func_def_98, type, sK48: ((nat > $o) > nat)).
% 21.04/3.34 thf(func_def_99, type, db2: !>[X0: $tType]:(X0)).
% 21.04/3.34 thf(f19,axiom,(
% 21.04/3.34 ! [X0 : int,X1 : nat] : (((ring_1_of_int_int @ (power_power_int @ X0 @ X1))) = ((power_power_int @ (ring_1_of_int_int @ X0) @ X1)))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_of__int__power)).
% 21.04/3.34 thf(f20,axiom,(
% 21.04/3.34 ! [X0 : int,X1 : nat] : (((ring_1_of_int_real @ (power_power_int @ X0 @ X1))) = ((power_power_real @ (ring_1_of_int_real @ X0) @ X1)))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_of__int__power)).
% 21.04/3.34 thf(f26,axiom,(
% 21.04/3.34 ! [X0 : int] : (((archim1371465213g_real @ (ring_1_of_int_real @ X0))) = X0)),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_ceiling__of__int)).
% 21.04/3.34 thf(f30,axiom,(
% 21.04/3.34 ! [X0 : num] : (((ring_1_of_int_int @ (numeral_numeral_int @ X0))) = ((numeral_numeral_int @ X0)))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_of__int__numeral)).
% 21.04/3.34 thf(f31,axiom,(
% 21.04/3.34 ! [X0 : num] : (((ring_1_of_int_real @ (numeral_numeral_int @ X0))) = ((numeral_numeral_real @ X0)))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_of__int__numeral)).
% 21.04/3.34 thf(f44,axiom,(
% 21.04/3.34 ! [X0 : real,X1 : real] : ((ord_less_eq_real @ X0 @ X1) => (ord_less_eq_int @ (archim1371465213g_real @ X0) @ (archim1371465213g_real @ X1)))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_ceiling__mono)).
% 21.04/3.34 thf(f54,axiom,(
% 21.04/3.34 (((ring_1_of_int_real @ d)) = ((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062)).
% 21.04/3.34 thf(f92,axiom,(
% 21.04/3.34 (((numeral_numeral_real @ one)) = one_one_real)),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_numeral__One)).
% 21.04/3.34 thf(f94,axiom,(
% 21.04/3.34 ! [X0 : int,X1 : int] : (~(ord_less_eq_int @ X1 @ X0) | ~(ord_less_eq_int @ X0 @ X1) | (X0 = X1))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_verit__la__disequality)).
% 21.04/3.34 thf(f100,axiom,(
% 21.04/3.34 ! [X0 : int,X1 : int] : ((ord_less_eq_int @ X1 @ X0) | (X0 = X1) | (ord_less_eq_int @ X0 @ X1))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_verit__la__generic)).
% 21.04/3.34 thf(f103,axiom,(
% 21.04/3.34 (((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) = ((ring_1_of_int_real @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062)).
% 21.04/3.34 thf(f104,axiom,(
% 21.04/3.34 (ord_less_eq_real @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062)).
% 21.04/3.34 thf(f190,axiom,(
% 21.04/3.34 ! [X0 : (nat > $o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : ((ord_less_eq_nat @ (suc @ X3) @ X2) => (X0 @ X3)) => (X0 @ X2)) => (X0 @ X1))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_full__nat__induct)).
% 21.04/3.34 thf(f216,axiom,(
% 21.04/3.34 (((neg_numeral_dbl_int @ one_one_int)) = ((numeral_numeral_int @ (bit0 @ one))))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_dbl__simps_I3_J)).
% 21.04/3.34 thf(f221,axiom,(
% 21.04/3.34 ! [X0 : int] : (ord_less_eq_int @ X0 @ X0)),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_order__refl)).
% 21.04/3.34 thf(f277,axiom,(
% 21.04/3.34 ! [X0 : num] : (((neg_numeral_dbl_real @ (numeral_numeral_real @ X0))) = ((numeral_numeral_real @ (bit0 @ X0))))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_dbl__simps_I5_J)).
% 21.04/3.34 thf(f351,axiom,(
% 21.04/3.34 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Nat__Onat_T)).
% 21.04/3.34 thf(f354,conjecture,(
% 21.04/3.34 (ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))),
% 21.04/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 21.04/3.34 thf(f355,negated_conjecture,(
% 21.04/3.34 ~(ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))),
% 21.04/3.34 inference(negated_conjecture,[status(cth)],[f354])).
% 21.04/3.34 thf(f377,plain,(
% 21.04/3.34 ! [X0 : real,X1 : real] : ((ord_less_eq_real @ X0 @ X1) => (ord_less_eq_int @ (archim1371465213g_real @ X0) @ (archim1371465213g_real @ X1)))),
% 21.04/3.34 inference(rectify,[],[f44])).
% 21.04/3.34 thf(f378,plain,(
% 21.04/3.34 ! [X0 : real,X1 : real] : ((((ord_less_eq_real @ X0 @ X1)) = $true) => (((ord_less_eq_int @ (archim1371465213g_real @ X0) @ (archim1371465213g_real @ X1))) = $true))),
% 21.04/3.34 inference(fool_elimination,[],[f377])).
% 21.04/3.34 thf(f416,plain,(
% 21.04/3.34 ! [X0 : int,X1 : int] : (~(ord_less_eq_int @ X1 @ X0) | ~(ord_less_eq_int @ X0 @ X1) | (X0 = X1))),
% 21.04/3.34 inference(rectify,[],[f94])).
% 21.04/3.34 thf(f417,plain,(
% 21.04/3.34 ! [X0 : int,X1 : int] : (~ (((ord_less_eq_int @ X1 @ X0)) = $true) | ~ (((ord_less_eq_int @ X0 @ X1)) = $true) | (X0 = X1))),
% 21.04/3.34 inference(fool_elimination,[],[f416])).
% 21.04/3.34 thf(f427,plain,(
% 21.04/3.34 ! [X0 : int,X1 : int] : ((ord_less_eq_int @ X1 @ X0) | (X0 = X1) | (ord_less_eq_int @ X0 @ X1))),
% 21.04/3.34 inference(rectify,[],[f100])).
% 21.04/3.34 thf(f428,plain,(
% 21.04/3.34 ! [X0 : int,X1 : int] : ((((ord_less_eq_int @ X1 @ X0)) = $true) | (X0 = X1) | (((ord_less_eq_int @ X0 @ X1)) = $true))),
% 21.04/3.34 inference(fool_elimination,[],[f427])).
% 21.04/3.34 thf(f430,plain,(
% 21.04/3.34 (ord_less_eq_real @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))))),
% 21.04/3.34 inference(rectify,[],[f104])).
% 21.04/3.34 thf(f431,plain,(
% 21.04/3.34 (((ord_less_eq_real @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))))) = $true)),
% 21.04/3.34 inference(fool_elimination,[],[f430])).
% 21.04/3.34 thf(f488,plain,(
% 21.04/3.34 ! [X0 : (nat > $o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : ((ord_less_eq_nat @ (suc @ X3) @ X2) => (X0 @ X3)) => (X0 @ X2)) => (X0 @ X1))),
% 21.04/3.34 inference(rectify,[],[f190])).
% 21.04/3.34 thf(f489,plain,(
% 21.04/3.34 ! [X0 : (nat > $o),X1 : nat] : (! [X2 : nat] : (! [X3 : nat] : ((((ord_less_eq_nat @ (suc @ X3) @ X2)) = $true) => (((X0 @ X3)) = $true)) => (((X0 @ X2)) = $true)) => (((X0 @ X1)) = $true))),
% 21.04/3.34 inference(fool_elimination,[],[f488])).
% 21.04/3.34 thf(f534,plain,(
% 21.04/3.34 ! [X0 : int] : (ord_less_eq_int @ X0 @ X0)),
% 21.04/3.34 inference(rectify,[],[f221])).
% 21.04/3.34 thf(f535,plain,(
% 21.04/3.34 ! [X0 : int] : (((ord_less_eq_int @ X0 @ X0)) = $true)),
% 21.04/3.34 inference(fool_elimination,[],[f534])).
% 21.04/3.34 thf(f649,plain,(
% 21.04/3.34 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 21.04/3.34 inference(fool_elimination,[],[f351])).
% 21.04/3.34 thf(f654,plain,(
% 21.04/3.34 ~(ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))),
% 21.04/3.34 inference(rectify,[],[f355])).
% 21.04/3.34 thf(f655,plain,(
% 21.04/3.34 ~ (((ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) = $true)),
% 21.04/3.34 inference(fool_elimination,[],[f654])).
% 21.04/3.34 thf(f657,plain,(
% 21.04/3.34 ! [X0 : int,X1 : int] : ((((ord_less_eq_int @ X1 @ X0)) != $true) | (((ord_less_eq_int @ X0 @ X1)) != $true) | (X0 = X1))),
% 21.04/3.34 inference(flattening,[],[f417])).
% 21.04/3.34 thf(f666,plain,(
% 21.04/3.34 (((ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) != $true)),
% 21.04/3.34 inference(flattening,[],[f655])).
% 21.04/3.34 thf(f668,plain,(
% 21.04/3.34 ! [X0 : real,X1 : real] : ((((ord_less_eq_int @ (archim1371465213g_real @ X0) @ (archim1371465213g_real @ X1))) = $true) | (((ord_less_eq_real @ X0 @ X1)) != $true))),
% 21.04/3.34 inference(ennf_transformation,[],[f378])).
% 21.04/3.34 thf(f691,plain,(
% 21.04/3.34 ! [X0 : (nat > $o),X1 : nat] : ((((X0 @ X1)) = $true) | ? [X2 : nat] : ((((X0 @ X2)) != $true) & ! [X3 : nat] : ((((X0 @ X3)) = $true) | (((ord_less_eq_nat @ (suc @ X3) @ X2)) != $true))))),
% 21.04/3.34 inference(ennf_transformation,[],[f489])).
% 21.04/3.34 thf(f775,plain,(
% 21.04/3.34 ! [X0 : (nat > $o),X1 : nat] : ((((X0 @ X1)) = $true) | (($true != ((X0 @ (sK13 @ X0)))) & ! [X3 : nat] : ((((X0 @ X3)) = $true) | ($true != ((ord_less_eq_nat @ (suc @ X3) @ (sK13 @ X0)))))))),
% 21.04/3.34 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f691])).
% 21.04/3.34 thf(f814,plain,(
% 21.04/3.34 ( ! [X0 : int,X1 : nat] : ((((power_power_int @ (ring_1_of_int_int @ X0) @ X1)) = ((ring_1_of_int_int @ (power_power_int @ X0 @ X1))))) )),
% 21.04/3.34 inference(cnf_transformation,[],[f19])).
% 21.04/3.34 thf(f815,plain,(
% 21.04/3.34 ( ! [X0 : int,X1 : nat] : ((((power_power_real @ (ring_1_of_int_real @ X0) @ X1)) = ((ring_1_of_int_real @ (power_power_int @ X0 @ X1))))) )),
% 21.04/3.34 inference(cnf_transformation,[],[f20])).
% 21.04/3.34 thf(f821,plain,(
% 21.04/3.34 ( ! [X0 : int] : ((((archim1371465213g_real @ (ring_1_of_int_real @ X0))) = X0)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f26])).
% 21.04/3.34 thf(f825,plain,(
% 21.04/3.34 ( ! [X0 : num] : ((((numeral_numeral_int @ X0)) = ((ring_1_of_int_int @ (numeral_numeral_int @ X0))))) )),
% 21.04/3.34 inference(cnf_transformation,[],[f30])).
% 21.04/3.34 thf(f826,plain,(
% 21.04/3.34 ( ! [X0 : num] : ((((numeral_numeral_real @ X0)) = ((ring_1_of_int_real @ (numeral_numeral_int @ X0))))) )),
% 21.04/3.34 inference(cnf_transformation,[],[f31])).
% 21.04/3.34 thf(f839,plain,(
% 21.04/3.34 ( ! [X0 : real,X1 : real] : ((((ord_less_eq_real @ X0 @ X1)) != $true) | (((ord_less_eq_int @ (archim1371465213g_real @ X0) @ (archim1371465213g_real @ X1))) = $true)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f668])).
% 21.04/3.34 thf(f849,plain,(
% 21.04/3.34 (((ring_1_of_int_real @ d)) = ((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))),
% 21.04/3.34 inference(cnf_transformation,[],[f54])).
% 21.04/3.34 thf(f892,plain,(
% 21.04/3.34 (one_one_real = ((numeral_numeral_real @ one)))),
% 21.04/3.34 inference(cnf_transformation,[],[f92])).
% 21.04/3.34 thf(f894,plain,(
% 21.04/3.34 ( ! [X0 : int,X1 : int] : ((((ord_less_eq_int @ X1 @ X0)) != $true) | (((ord_less_eq_int @ X0 @ X1)) != $true) | (X0 = X1)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f657])).
% 21.04/3.34 thf(f900,plain,(
% 21.04/3.34 ( ! [X0 : int,X1 : int] : ((((ord_less_eq_int @ X1 @ X0)) = $true) | (((ord_less_eq_int @ X0 @ X1)) = $true) | (X0 = X1)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f428])).
% 21.04/3.34 thf(f903,plain,(
% 21.04/3.34 (((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) = ((ring_1_of_int_real @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))))),
% 21.04/3.34 inference(cnf_transformation,[],[f103])).
% 21.04/3.34 thf(f904,plain,(
% 21.04/3.34 (((ord_less_eq_real @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))))) = $true)),
% 21.04/3.34 inference(cnf_transformation,[],[f431])).
% 21.04/3.34 thf(f998,plain,(
% 21.04/3.34 ( ! [X0 : (nat > $o),X1 : nat] : (($true != ((X0 @ (sK13 @ X0)))) | (((X0 @ X1)) = $true)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f775])).
% 21.04/3.34 thf(f1024,plain,(
% 21.04/3.34 (((numeral_numeral_int @ (bit0 @ one))) = ((neg_numeral_dbl_int @ one_one_int)))),
% 21.04/3.34 inference(cnf_transformation,[],[f216])).
% 21.04/3.34 thf(f1029,plain,(
% 21.04/3.34 ( ! [X0 : int] : ((((ord_less_eq_int @ X0 @ X0)) = $true)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f535])).
% 21.04/3.34 thf(f1087,plain,(
% 21.04/3.34 ( ! [X0 : num] : ((((neg_numeral_dbl_real @ (numeral_numeral_real @ X0))) = ((numeral_numeral_real @ (bit0 @ X0))))) )),
% 21.04/3.34 inference(cnf_transformation,[],[f277])).
% 21.04/3.34 thf(f1170,plain,(
% 21.04/3.34 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 21.04/3.34 inference(cnf_transformation,[],[f649])).
% 21.04/3.34 thf(f1173,plain,(
% 21.04/3.34 (((ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) != $true)),
% 21.04/3.34 inference(cnf_transformation,[],[f666])).
% 21.04/3.34 thf(f1306,definition,(
% 21.04/3.34 (sF35 = ((bit0 @ one)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF35])],[function_definition])).
% 21.04/3.34 thf(f1307,plain,(
% 21.04/3.34 (((bit0 @ one)) = sF35)),
% 21.04/3.34 inference(reorient_equations,[],[f1306])).
% 21.04/3.34 thf(f1308,definition,(
% 21.04/3.34 (sF36 = ((numeral_numeral_int @ sF35)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF36])],[function_definition])).
% 21.04/3.34 thf(f1309,plain,(
% 21.04/3.34 (((numeral_numeral_int @ sF35)) = sF36)),
% 21.04/3.34 inference(reorient_equations,[],[f1308])).
% 21.04/3.34 thf(f1310,definition,(
% 21.04/3.34 (sF37 = ((numeral_numeral_real @ sF35)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF37])],[function_definition])).
% 21.04/3.34 thf(f1311,plain,(
% 21.04/3.34 (((numeral_numeral_real @ sF35)) = sF37)),
% 21.04/3.34 inference(reorient_equations,[],[f1310])).
% 21.04/3.34 thf(f1312,definition,(
% 21.04/3.34 (sF38 = ((ring_1_of_int_real @ d)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF38])],[function_definition])).
% 21.04/3.34 thf(f1313,plain,(
% 21.04/3.34 (((ring_1_of_int_real @ d)) = sF38)),
% 21.04/3.34 inference(reorient_equations,[],[f1312])).
% 21.04/3.34 thf(f1314,definition,(
% 21.04/3.34 (sF39 = ((log @ sF37 @ sF38)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF39])],[function_definition])).
% 21.04/3.34 thf(f1315,plain,(
% 21.04/3.34 (((log @ sF37 @ sF38)) = sF39)),
% 21.04/3.34 inference(reorient_equations,[],[f1314])).
% 21.04/3.34 thf(f1316,definition,(
% 21.04/3.34 (sF40 = ((archim1371465213g_real @ sF39)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF40])],[function_definition])).
% 21.04/3.34 thf(f1317,plain,(
% 21.04/3.34 (((archim1371465213g_real @ sF39)) = sF40)),
% 21.04/3.34 inference(reorient_equations,[],[f1316])).
% 21.04/3.34 thf(f1318,definition,(
% 21.04/3.34 (sF41 = ((nat2 @ sF40)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF41])],[function_definition])).
% 21.04/3.34 thf(f1319,plain,(
% 21.04/3.34 (((nat2 @ sF40)) = sF41)),
% 21.04/3.34 inference(reorient_equations,[],[f1318])).
% 21.04/3.34 thf(f1320,definition,(
% 21.04/3.34 (sF42 = ((power_power_int @ sF36 @ sF41)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF42])],[function_definition])).
% 21.04/3.34 thf(f1321,plain,(
% 21.04/3.34 (((power_power_int @ sF36 @ sF41)) = sF42)),
% 21.04/3.34 inference(reorient_equations,[],[f1320])).
% 21.04/3.34 thf(f1322,definition,(
% 21.04/3.34 (sF43 = ((ord_less_eq_int @ d @ sF42)))),
% 21.04/3.34 introduced(definition,[new_symbols(definition,[sF43])],[function_definition])).
% 21.04/3.34 thf(f1323,plain,(
% 21.04/3.34 (((ord_less_eq_int @ d @ sF42)) = sF43)),
% 21.04/3.34 inference(reorient_equations,[],[f1322])).
% 21.04/3.34 thf(f1324,plain,(
% 21.04/3.34 ($true != sF43)),
% 21.04/3.34 inference(definition_folding,[],[f1173,f1323,f1321,f1319,f1317,f1315,f1313,f1311,f1307,f1309,f1307])).
% 21.04/3.34 thf(f2185,plain,(
% 21.04/3.34 ($false = ((ord_less_eq_int @ d @ sF42))) | ($true = sF43)),
% 21.04/3.34 inference(iff_proxy_clausification,[],[f1323])).
% 21.04/3.34 thf(f2226,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_real @ (powr_real @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (log @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (ring_1_of_int_real @ d)))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f904,f1087])).
% 21.04/3.34 thf(f2227,plain,(
% 21.04/3.34 (((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) = ((ring_1_of_int_real @ (power_power_int @ (neg_numeral_dbl_int @ one_one_int) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f903,f1024])).
% 21.04/3.34 thf(f2233,plain,(
% 21.04/3.34 (((ring_1_of_int_real @ d)) = ((powr_real @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (log @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (ring_1_of_int_real @ d)))))),
% 21.04/3.34 inference(forward_demodulation,[],[f849,f1087])).
% 21.04/3.34 thf(f2237,plain,(
% 21.04/3.34 ($false = ((ord_less_eq_int @ d @ sF42)))),
% 21.04/3.34 inference(forward_subsumption_resolution,[],[f2185,f1324])).
% 21.04/3.34 thf(f2249,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (log @ (neg_numeral_dbl_real @ one_one_real) @ (ring_1_of_int_real @ d))) @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ (ring_1_of_int_real @ d)))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2226,f892])).
% 21.04/3.34 thf(f2250,plain,(
% 21.04/3.34 (((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))) = ((power_power_real @ (ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2227,f815])).
% 21.04/3.34 thf(f2256,plain,(
% 21.04/3.34 (((ring_1_of_int_real @ d)) = ((powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (log @ (neg_numeral_dbl_real @ one_one_real) @ (ring_1_of_int_real @ d)))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2233,f892])).
% 21.04/3.34 thf(f2264,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)) @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2249,f1313])).
% 21.04/3.34 thf(f2265,plain,(
% 21.04/3.34 (((powr_real @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (ring_1_of_int_real @ d))))))) = ((power_power_real @ (ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int)) @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ (numeral_numeral_real @ one)) @ (ring_1_of_int_real @ d)))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2250,f1087])).
% 21.04/3.34 thf(f2267,plain,(
% 21.04/3.34 (sF38 = ((powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2256,f1313])).
% 21.04/3.34 thf(f2273,plain,(
% 21.04/3.34 (((powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ (ring_1_of_int_real @ d))))))) = ((power_power_real @ (ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int)) @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ (ring_1_of_int_real @ d)))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2265,f892])).
% 21.04/3.34 thf(f2275,plain,(
% 21.04/3.34 (((powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))) = ((power_power_real @ (ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int)) @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2273,f1313])).
% 21.04/3.34 thf(f2299,plain,(
% 21.04/3.34 (d = ((archim1371465213g_real @ sF38)))),
% 21.04/3.34 inference(constrained_superposition,[],[f821,f1313])).
% 21.04/3.34 thf(f2347,plain,(
% 21.04/3.34 (sF36 = ((ring_1_of_int_int @ sF36)))),
% 21.04/3.34 inference(constrained_superposition,[],[f825,f1309])).
% 21.04/3.34 thf(f2353,plain,(
% 21.04/3.34 (((numeral_numeral_real @ sF35)) = ((ring_1_of_int_real @ sF36)))),
% 21.04/3.34 inference(constrained_superposition,[],[f826,f1309])).
% 21.04/3.34 thf(f2357,plain,(
% 21.04/3.34 (sF37 = ((ring_1_of_int_real @ sF36)))),
% 21.04/3.34 inference(forward_demodulation,[],[f2353,f1311])).
% 21.04/3.34 thf(f2383,plain,(
% 21.04/3.34 (((neg_numeral_dbl_int @ one_one_int)) = ((numeral_numeral_int @ sF35)))),
% 21.04/3.34 inference(constrained_superposition,[],[f1024,f1307])).
% 21.04/3.34 thf(f2384,plain,(
% 21.04/3.34 (((numeral_numeral_real @ (bit0 @ one))) = ((ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int))))),
% 21.04/3.34 inference(constrained_superposition,[],[f826,f1024])).
% 21.04/3.34 thf(f2391,plain,(
% 21.04/3.34 (((neg_numeral_dbl_real @ (numeral_numeral_real @ one))) = ((ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2384,f1087])).
% 21.04/3.34 thf(f2392,plain,(
% 21.04/3.34 (((neg_numeral_dbl_int @ one_one_int)) = sF36)),
% 21.04/3.34 inference(forward_demodulation,[],[f2383,f1309])).
% 21.04/3.34 thf(f2393,plain,(
% 21.04/3.34 (((neg_numeral_dbl_real @ one_one_real)) = ((ring_1_of_int_real @ (neg_numeral_dbl_int @ one_one_int))))),
% 21.04/3.34 inference(forward_demodulation,[],[f2391,f892])).
% 21.04/3.34 thf(f2394,plain,(
% 21.04/3.34 (((neg_numeral_dbl_real @ one_one_real)) = ((ring_1_of_int_real @ sF36)))),
% 21.04/3.34 inference(forward_demodulation,[],[f2393,f2392])).
% 21.04/3.34 thf(f2395,plain,(
% 21.04/3.34 (((neg_numeral_dbl_real @ one_one_real)) = sF37)),
% 21.04/3.34 inference(forward_demodulation,[],[f2394,f2357])).
% 21.04/3.34 thf(f2537,plain,(
% 21.04/3.34 ( ! [X0 : (nat > $o),X1 : nat] : (($true != $true) | (((X0 @ X1)) = $true) | ($false = ((X0 @ (sK13 @ X0))))) )),
% 21.04/3.34 inference(constrained_superposition,[],[f998,f1170])).
% 21.04/3.34 thf(f2581,plain,(
% 21.04/3.34 ( ! [X0 : (nat > $o),X1 : nat] : ((((X0 @ X1)) = $true) | ($false = ((X0 @ (sK13 @ X0))))) )),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f2537])).
% 21.04/3.34 thf(f3801,plain,(
% 21.04/3.34 (((power_power_int @ (ring_1_of_int_int @ sF36) @ sF41)) = ((ring_1_of_int_int @ sF42)))),
% 21.04/3.34 inference(constrained_superposition,[],[f814,f1321])).
% 21.04/3.34 thf(f3804,plain,(
% 21.04/3.34 (((power_power_int @ sF36 @ sF41)) = ((ring_1_of_int_int @ sF42)))),
% 21.04/3.34 inference(forward_demodulation,[],[f3801,f2347])).
% 21.04/3.34 thf(f3810,plain,(
% 21.04/3.34 (sF42 = ((ring_1_of_int_int @ sF42)))),
% 21.04/3.34 inference(forward_demodulation,[],[f3804,f1321])).
% 21.04/3.34 thf(f3818,plain,(
% 21.04/3.34 (((power_power_real @ (ring_1_of_int_real @ sF36) @ sF41)) = ((ring_1_of_int_real @ sF42)))),
% 21.04/3.34 inference(constrained_superposition,[],[f815,f1321])).
% 21.04/3.34 thf(f3822,plain,(
% 21.04/3.34 (((ring_1_of_int_real @ sF42)) = ((power_power_real @ sF37 @ sF41)))),
% 21.04/3.34 inference(forward_demodulation,[],[f3818,f2357])).
% 21.04/3.34 thf(f8384,plain,(
% 21.04/3.34 ($true != $true) | ($true = ((ord_less_eq_int @ (archim1371465213g_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))) @ (archim1371465213g_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))))))),
% 21.04/3.34 inference(constrained_superposition,[],[f839,f2264])).
% 21.04/3.34 thf(f8429,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ (archim1371465213g_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))) @ (archim1371465213g_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))))))),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f8384])).
% 21.04/3.34 thf(f8445,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ (archim1371465213g_real @ sF38) @ (archim1371465213g_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8429,f2267])).
% 21.04/3.34 thf(f8465,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ (archim1371465213g_real @ (powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8445,f2299])).
% 21.04/3.34 thf(f8485,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ (archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ sF37 @ sF38)))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8465,f2395])).
% 21.04/3.34 thf(f8505,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ (archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ sF39))))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8485,f1315])).
% 21.04/3.34 thf(f8525,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ (archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ (nat2 @ sF40)))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8505,f1317])).
% 21.04/3.34 thf(f8543,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ (archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8525,f1319])).
% 21.04/3.34 thf(f8563,plain,(
% 21.04/3.34 (((powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))) = ((power_power_real @ (ring_1_of_int_real @ sF36) @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))))))),
% 21.04/3.34 inference(constrained_superposition,[],[f2275,f2392])).
% 21.04/3.34 thf(f8578,plain,(
% 21.04/3.34 (((powr_real @ (neg_numeral_dbl_real @ one_one_real) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38)))))) = ((power_power_real @ sF37 @ (nat2 @ (archim1371465213g_real @ (log @ (neg_numeral_dbl_real @ one_one_real) @ sF38))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8563,f2357])).
% 21.04/3.34 thf(f8585,plain,(
% 21.04/3.34 (((powr_real @ sF37 @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ sF37 @ sF38)))))) = ((power_power_real @ sF37 @ (nat2 @ (archim1371465213g_real @ (log @ sF37 @ sF38))))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8578,f2395])).
% 21.04/3.34 thf(f8592,plain,(
% 21.04/3.34 (((powr_real @ sF37 @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ sF39))))) = ((power_power_real @ sF37 @ (nat2 @ (archim1371465213g_real @ sF39)))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8585,f1315])).
% 21.04/3.34 thf(f8599,plain,(
% 21.04/3.34 (((powr_real @ sF37 @ (semiri2110766477t_real @ (nat2 @ sF40)))) = ((power_power_real @ sF37 @ (nat2 @ sF40))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8592,f1317])).
% 21.04/3.34 thf(f8606,plain,(
% 21.04/3.34 (((power_power_real @ sF37 @ sF41)) = ((powr_real @ sF37 @ (semiri2110766477t_real @ sF41))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8599,f1319])).
% 21.04/3.34 thf(f8613,plain,(
% 21.04/3.34 (((ring_1_of_int_real @ sF42)) = ((powr_real @ sF37 @ (semiri2110766477t_real @ sF41))))),
% 21.04/3.34 inference(forward_demodulation,[],[f8606,f3822])).
% 21.04/3.34 thf(f12920,plain,(
% 21.04/3.34 ( ! [X0 : (nat > int),X1 : nat] : (($true = $false) | ($false = (((^[Y0 : nat]: (ord_less_eq_int @ (X0 @ Y0) @ ((^[Y1 : nat]: (sF42)) @ Y0))) @ (sK13 @ (^[Y0 : nat]: (ord_less_eq_int @ (X0 @ Y0) @ ((^[Y1 : nat]: (sF42)) @ Y0))))))) | (d != ((X0 @ X1)))) )),
% 21.04/3.34 inference(constrained_superposition,[],[f2237,f2581])).
% 21.04/3.34 thf(f13399,plain,(
% 21.04/3.34 ( ! [X0 : (nat > int),X1 : nat] : (($false = (((^[Y0 : nat]: (ord_less_eq_int @ (X0 @ Y0) @ ((^[Y1 : nat]: (sF42)) @ Y0))) @ (sK13 @ (^[Y0 : nat]: (ord_less_eq_int @ (X0 @ Y0) @ ((^[Y1 : nat]: (sF42)) @ Y0))))))) | (d != ((X0 @ X1)))) )),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f12920])).
% 21.04/3.34 thf(f13400,plain,(
% 21.04/3.34 ( ! [X0 : (nat > int),X1 : nat] : ((d != ((X0 @ X1))) | ($false = ((ord_less_eq_int @ (X0 @ (sK13 @ (^[Y0 : nat]: (ord_less_eq_int @ (X0 @ Y0) @ sF42)))) @ sF42)))) )),
% 21.04/3.34 inference(beta-eta_normalization,[],[f13399])).
% 21.04/3.34 thf(f13752,plain,(
% 21.04/3.34 (d != sF42) | ($false = ((ord_less_eq_int @ ((^[Y0 : nat]: (ring_1_of_int_int @ ((^[Y1 : nat]: (sF42)) @ Y0))) @ (sK13 @ (^[Y0 : nat]: (ord_less_eq_int @ ((^[Y1 : nat]: (ring_1_of_int_int @ ((^[Y2 : nat]: (sF42)) @ Y1))) @ Y0) @ sF42)))) @ sF42)))),
% 21.04/3.34 inference(constrained_superposition,[],[f13400,f3810])).
% 21.04/3.34 thf(f13761,plain,(
% 21.04/3.34 (d != sF42) | ($false = ((ord_less_eq_int @ (ring_1_of_int_int @ sF42) @ sF42)))),
% 21.04/3.34 inference(beta-eta_normalization,[],[f13752])).
% 21.04/3.34 thf(f13857,plain,(
% 21.04/3.34 ($false = ((ord_less_eq_int @ sF42 @ sF42))) | (d != sF42)),
% 21.04/3.34 inference(forward_demodulation,[],[f13761,f3810])).
% 21.04/3.34 thf(f13894,plain,(
% 21.04/3.34 ($true = $false) | (d != sF42)),
% 21.04/3.34 inference(forward_demodulation,[],[f13857,f1029])).
% 21.04/3.34 thf(f13895,plain,(
% 21.04/3.34 (d != sF42)),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f13894])).
% 21.04/3.34 thf(f33071,plain,(
% 21.04/3.34 ($true != $true) | ($true != ((ord_less_eq_int @ (archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41))) @ d))) | (d = ((archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41)))))),
% 21.04/3.34 inference(constrained_superposition,[],[f894,f8543])).
% 21.04/3.34 thf(f33129,plain,(
% 21.04/3.34 ($true != ((ord_less_eq_int @ (archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41))) @ d))) | (d = ((archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41)))))),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f33071])).
% 21.04/3.34 thf(f33167,plain,(
% 21.04/3.34 ($true != ((ord_less_eq_int @ (archim1371465213g_real @ (ring_1_of_int_real @ sF42)) @ d))) | (d = ((archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41)))))),
% 21.04/3.34 inference(forward_demodulation,[],[f33129,f8613])).
% 21.04/3.34 thf(f33178,plain,(
% 21.04/3.34 ($true != ((ord_less_eq_int @ sF42 @ d))) | (d = ((archim1371465213g_real @ (powr_real @ sF37 @ (semiri2110766477t_real @ sF41)))))),
% 21.04/3.34 inference(forward_demodulation,[],[f33167,f821])).
% 21.04/3.34 thf(f33181,plain,(
% 21.04/3.34 (d = ((archim1371465213g_real @ (ring_1_of_int_real @ sF42)))) | ($true != ((ord_less_eq_int @ sF42 @ d)))),
% 21.04/3.34 inference(forward_demodulation,[],[f33178,f8613])).
% 21.04/3.34 thf(f33183,plain,(
% 21.04/3.34 (d = sF42) | ($true != ((ord_less_eq_int @ sF42 @ d)))),
% 21.04/3.34 inference(forward_demodulation,[],[f33181,f821])).
% 21.04/3.34 thf(f33185,plain,(
% 21.04/3.34 ($true != ((ord_less_eq_int @ sF42 @ d)))),
% 21.04/3.34 inference(forward_subsumption_resolution,[],[f33183,f13895])).
% 21.04/3.34 thf(f33189,plain,(
% 21.04/3.34 ($true != $true) | ($true = ((ord_less_eq_int @ d @ sF42))) | (d = sF42)),
% 21.04/3.34 inference(constrained_superposition,[],[f33185,f900])).
% 21.04/3.34 thf(f33217,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ sF42))) | (d = sF42)),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f33189])).
% 21.04/3.34 thf(f33220,plain,(
% 21.04/3.34 ($true = ((ord_less_eq_int @ d @ sF42)))),
% 21.04/3.34 inference(forward_subsumption_resolution,[],[f33217,f13895])).
% 21.04/3.34 thf(f33222,plain,(
% 21.04/3.34 ($true = $false)),
% 21.04/3.34 inference(forward_demodulation,[],[f33220,f2237])).
% 21.04/3.34 thf(f33223,plain,(
% 21.04/3.34 $false),
% 21.04/3.34 inference(trivial_inequality_removal,[],[f33222])).
% 21.04/3.34 % SZS output end Proof for theBenchmark
% 21.04/3.34 % (559713)------------------------------
% 21.04/3.34 % (559713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.04/3.34 % (559713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.04/3.34 % (559713)CaDiCaL version: 2.1.3
% 21.04/3.34 % (559713)Termination reason: Refutation
% 21.04/3.34 % (559713)Time elapsed: 2.319 s
% 21.04/3.34 % (559713)Peak memory usage: 35 MB
% 21.04/3.34 % (559713)Instructions burned: 4939 (million)
% 21.04/3.34 % (559658)Success in time 3.101 s
% 21.04/3.34 % Vampire exiting
%------------------------------------------------------------------------------