%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP094^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:10:40 AM UTC 2026
% Result : Theorem 20.00s 3.16s
% Output : Refutation 20.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP094^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n013.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Tue Sep 29 19:52:22 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31 Running first-order model finding
% 0.25/0.31 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
% 7.50/1.60 % (2577725)Will run a generic schedule for satisfiability detection.
% 7.50/1.60 % (2577736)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=674112111:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.50/1.60 % (2577732)% WARNING: option uhcvi not known.
% 7.50/1.60 % (2577731)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2465747252_2999 on theBenchmark for (2999ds/0Mi)
% 7.50/1.60 % (2577732)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2754090278:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.50/1.60 % (2577733)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2869965146:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.50/1.60 % (2577734)dis+10_1_sil=32000:sp=arity:random_seed=3095794332:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.50/1.60 % (2577735)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1945437995:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.50/1.60 % (2577737)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2870727234:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.50/1.60 % (2577732)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.50/1.60 % (2577735)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.50/1.60 % (2577732)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.50/1.60 % Exception at run slice level
% 7.50/1.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.50/1.60 % (2577736)Instruction limit reached!
% 7.50/1.60 % (2577736)------------------------------
% 7.50/1.60 % (2577736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.60 % (2577736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.60 % (2577736)CaDiCaL version: 2.1.3
% 7.50/1.60 % (2577736)Termination reason: Instruction limit
% 7.50/1.60 % (2577736)Termination phase: Saturation
% 7.50/1.60 % (2577736)Time elapsed: 0.063 s
% 7.50/1.60 % (2577736)Peak memory usage: 14 MB
% 7.50/1.60 % (2577736)Instructions burned: 133 (million)
% 7.50/1.60 % (2577747)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2357354404:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.50/1.60 % (2577746)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3235524163:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.50/1.60 % (2577734)Instruction limit reached!
% 7.50/1.60 % (2577734)------------------------------
% 7.50/1.60 % (2577734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.60 % (2577734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.60 % (2577734)CaDiCaL version: 2.1.3
% 7.50/1.60 % (2577734)Termination reason: Instruction limit
% 7.50/1.60 % (2577734)Termination phase: Saturation
% 7.50/1.60 % (2577734)Time elapsed: 0.091 s
% 7.50/1.60 % (2577734)Peak memory usage: 13 MB
% 7.50/1.60 % (2577734)Instructions burned: 103 (million)
% 7.50/1.60 % (2577735)Instruction limit reached!
% 7.50/1.60 % (2577735)------------------------------
% 7.50/1.60 % (2577735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.60 % (2577735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.60 % (2577735)CaDiCaL version: 2.1.3
% 7.50/1.60 % (2577735)Termination reason: Instruction limit
% 7.50/1.60 % (2577735)Termination phase: Saturation
% 7.50/1.60 % (2577735)Time elapsed: 0.100 s
% 7.50/1.60 % (2577735)Peak memory usage: 13 MB
% 7.50/1.60 % (2577735)Instructions burned: 116 (million)
% 7.50/1.60 % (2577753)ott-21_1_sil=16000:fs=off:random_seed=4064226570:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.50/1.60 % (2577752)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=4022322763:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.50/1.60 % Exception at run slice level
% 7.50/1.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.50/1.60 % (2577747)Instruction limit reached!
% 7.50/1.60 % (2577747)------------------------------
% 7.50/1.60 % (2577747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.60 % (2577747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577747)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577747)Termination reason: Instruction limit
% 20.00/3.16 % (2577747)Termination phase: Saturation
% 20.00/3.16 % (2577747)Time elapsed: 0.065 s
% 20.00/3.16 % (2577747)Peak memory usage: 13 MB
% 20.00/3.16 % (2577747)Instructions burned: 131 (million)
% 20.00/3.16 % (2577737)Instruction limit reached!
% 20.00/3.16 % (2577737)------------------------------
% 20.00/3.16 % (2577737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577737)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577737)Termination reason: Instruction limit
% 20.00/3.16 % (2577737)Termination phase: Saturation
% 20.00/3.16 % (2577737)Time elapsed: 0.144 s
% 20.00/3.16 % (2577737)Peak memory usage: 14 MB
% 20.00/3.16 % (2577737)Instructions burned: 159 (million)
% 20.00/3.16 % (2577752)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.00/3.16 % (2577757)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=54000618:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.00/3.16 % (2577758)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=12578789:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 20.00/3.16 % (2577756)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=636420529:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.00/3.16 % (2577752)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577762)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=419478135:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 20.00/3.16 % (2577753)Instruction limit reached!
% 20.00/3.16 % (2577753)------------------------------
% 20.00/3.16 % (2577753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577753)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577753)Termination reason: Instruction limit
% 20.00/3.16 % (2577753)Termination phase: Saturation
% 20.00/3.16 % (2577753)Time elapsed: 0.153 s
% 20.00/3.16 % (2577753)Peak memory usage: 13 MB
% 20.00/3.16 % (2577753)Instructions burned: 181 (million)
% 20.00/3.16 % (2577764)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=836798771:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577764)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.00/3.16 % (2577766)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1718647918:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 20.00/3.16 % (2577766)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.00/3.16 % (2577756)Instruction limit reached!
% 20.00/3.16 % (2577756)------------------------------
% 20.00/3.16 % (2577756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577756)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577756)Termination reason: Instruction limit
% 20.00/3.16 % (2577756)Termination phase: Saturation
% 20.00/3.16 % (2577756)Time elapsed: 0.468 s
% 20.00/3.16 % (2577756)Peak memory usage: 14 MB
% 20.00/3.16 % (2577756)Instructions burned: 477 (million)
% 20.00/3.16 % (2577770)fmb+10_1_sil=64000:random_seed=1013240478:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 20.00/3.16 % (2577752)Instruction limit reached!
% 20.00/3.16 % (2577752)------------------------------
% 20.00/3.16 % (2577752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577752)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577752)Termination reason: Instruction limit
% 20.00/3.16 % (2577752)Termination phase: Saturation
% 20.00/3.16 % (2577752)Time elapsed: 0.588 s
% 20.00/3.16 % (2577752)Peak memory usage: 17 MB
% 20.00/3.16 % (2577752)Instructions burned: 684 (million)
% 20.00/3.16 % (2577758)Instruction limit reached!
% 20.00/3.16 % (2577758)------------------------------
% 20.00/3.16 % (2577758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577758)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577758)Termination reason: Instruction limit
% 20.00/3.16 % (2577758)Termination phase: Saturation
% 20.00/3.16 % (2577758)Time elapsed: 0.553 s
% 20.00/3.16 % (2577758)Peak memory usage: 21 MB
% 20.00/3.16 % (2577758)Instructions burned: 1180 (million)
% 20.00/3.16 % (2577770)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.00/3.16 % (2577772)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3836309288:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577773)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1191482782:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 20.00/3.16 % (2577775)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2271971306:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577775)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.00/3.16 % (2577778)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2309296873:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577778)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.00/3.16 % (2577778)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.00/3.16 % (2577780)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=448097935:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577782)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=787808555:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577764)Instruction limit reached!
% 20.00/3.16 % (2577764)------------------------------
% 20.00/3.16 % (2577764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577764)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577764)Termination reason: Instruction limit
% 20.00/3.16 % (2577764)Termination phase: Saturation
% 20.00/3.16 % (2577764)Time elapsed: 0.640 s
% 20.00/3.16 % (2577764)Peak memory usage: 17 MB
% 20.00/3.16 % (2577764)Instructions burned: 693 (million)
% 20.00/3.16 % (2577784)ott-2_1_sil=16000:newcnf=on:random_seed=3340895926:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 20.00/3.16 % (2577784)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.00/3.16 % (2577786)ott+10_1_sil=32000:tgt=ground:random_seed=2635139868:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 20.00/3.16 % (2577766)Instruction limit reached!
% 20.00/3.16 % (2577766)------------------------------
% 20.00/3.16 % (2577766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577766)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577766)Termination reason: Instruction limit
% 20.00/3.16 % (2577766)Termination phase: Saturation
% 20.00/3.16 % (2577766)Time elapsed: 0.788 s
% 20.00/3.16 % (2577766)Peak memory usage: 19 MB
% 20.00/3.16 % (2577766)Instructions burned: 879 (million)
% 20.00/3.16 % (2577788)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3920696278:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 20.00/3.16 % Exception at run slice level
% 20.00/3.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.00/3.16 % (2577790)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3092407495:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 20.00/3.16 % (2577790)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.00/3.16 % (2577778)Instruction limit reached!
% 20.00/3.16 % (2577778)------------------------------
% 20.00/3.16 % (2577778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577778)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577778)Termination reason: Instruction limit
% 20.00/3.16 % (2577778)Termination phase: Saturation
% 20.00/3.16 % (2577778)Time elapsed: 0.713 s
% 20.00/3.16 % (2577778)Peak memory usage: 17 MB
% 20.00/3.16 % (2577778)Instructions burned: 1473 (million)
% 20.00/3.16 % (2577792)dis+21_1_sil=32000:sas=cadical:random_seed=1653501610:i=3773:amm=off_2984 on theBenchmark for (2984ds/3773Mi)
% 20.00/3.16 % (2577784)Instruction limit reached!
% 20.00/3.16 % (2577784)------------------------------
% 20.00/3.16 % (2577784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577784)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577784)Termination reason: Instruction limit
% 20.00/3.16 % (2577784)Termination phase: Saturation
% 20.00/3.16 % (2577784)Time elapsed: 0.774 s
% 20.00/3.16 % (2577784)Peak memory usage: 17 MB
% 20.00/3.16 % (2577784)Instructions burned: 870 (million)
% 20.00/3.16 % (2577794)ott+11_1_sil=16000:gs=on:random_seed=2859737825:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2982 on theBenchmark for (2982ds/2251Mi)
% 20.00/3.16 % (2577794)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.00/3.16 % (2577792) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2577725-2577792"...
% 20.00/3.16 % (2577792)...printing done.
% 20.00/3.16 % (2577792)Refutation found. Thanks to Tanya!
% 20.00/3.16 % SZS status Theorem for theBenchmark
% 20.00/3.16 % SZS output start Proof for theBenchmark
% 20.00/3.16 thf(type_def_5, type, poly: $tType > $tType).
% 20.00/3.16 thf(type_def_6, type, real: $tType).
% 20.00/3.16 thf(type_def_7, type, set: $tType > $tType).
% 20.00/3.16 thf(type_def_8, type, nat: $tType).
% 20.00/3.16 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 20.00/3.16 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_2, type, idom: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_4, type, field: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_5, type, ring_1: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_6, type, ring_char_0: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_7, type, order: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_8, type, finite_finite: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_9, type, comm_ring_1: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_10, type, idom_divide: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_11, type, zero_neq_one: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_12, type, field_char_0: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_13, type, semiring_char_0: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_14, type, wellorder: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_15, type, zero_less_one: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_16, type, division_ring: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_17, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_18, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_19, type, linordered_idom: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_20, type, linordered_field: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_21, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_22, type, algebraic_semidom: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_23, type, ring_n68954251visors: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_24, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_25, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_26, type, semiri134348788visors: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_27, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 20.00/3.16 thf(func_def_28, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 20.00/3.16 thf(func_def_29, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 20.00/3.16 thf(func_def_30, type, one_one: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(func_def_31, type, zero_zero: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(func_def_32, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 20.00/3.16 thf(func_def_33, type, suc: (nat > nat)).
% 20.00/3.16 thf(func_def_34, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.00/3.16 thf(func_def_35, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.00/3.16 thf(func_def_36, type, algebraic: !>[X0: $tType]:((X0 > $o))).
% 20.00/3.16 thf(func_def_37, type, algebraic_int: !>[X0: $tType]:((X0 > $o))).
% 20.00/3.16 thf(func_def_38, type, cr_poly: !>[X0: $tType]:(((nat > X0) > poly @ X0 > $o))).
% 20.00/3.16 thf(func_def_39, type, degree: !>[X0: $tType]:((poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_40, type, divide_poly_main: !>[X0: $tType]:((X0 > poly @ X0 > poly @ X0 > poly @ X0 > nat > nat > poly @ X0))).
% 20.00/3.16 thf(func_def_41, type, is_zero: !>[X0: $tType]:((poly @ X0 > $o))).
% 20.00/3.16 thf(func_def_42, type, order2: !>[X0: $tType]:((X0 > poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_43, type, pcr_poly: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (nat > X0) > poly @ X1 > $o))).
% 20.00/3.16 thf(func_def_44, type, pderiv: !>[X0: $tType]:((poly @ X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_45, type, poly2: !>[X0: $tType]:((poly @ X0 > X0 > X0))).
% 20.00/3.16 thf(func_def_46, type, coeff: !>[X0: $tType]:((poly @ X0 > nat > X0))).
% 20.00/3.16 thf(func_def_47, type, poly_cutoff: !>[X0: $tType]:((nat > poly @ X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_48, type, poly_shift: !>[X0: $tType]:((nat > poly @ X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_49, type, pseudo_mod: !>[X0: $tType]:((poly @ X0 > poly @ X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_50, type, reflect_poly: !>[X0: $tType]:((poly @ X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_51, type, rsquarefree: !>[X0: $tType]:((poly @ X0 > $o))).
% 20.00/3.16 thf(func_def_52, type, synthetic_div: !>[X0: $tType]:((poly @ X0 > X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_53, type, field_char_0_Rats: !>[X0: $tType]:(set @ X0)).
% 20.00/3.16 thf(func_def_54, type, dvd_dvd: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.00/3.16 thf(func_def_55, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 20.00/3.16 thf(func_def_56, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 20.00/3.16 thf(func_def_57, type, n: nat).
% 20.00/3.16 thf(func_def_58, type, p: poly @ real).
% 20.00/3.16 thf(func_def_59, type, x: real).
% 20.00/3.16 thf(func_def_63, type, db0: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.00/3.16 thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 20.00/3.16 thf(func_def_66, type, vAND: ($o > $o > $o)).
% 20.00/3.16 thf(func_def_67, type, vOR: ($o > $o > $o)).
% 20.00/3.16 thf(func_def_68, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.00/3.16 thf(func_def_69, type, vNOT: ($o > $o)).
% 20.00/3.16 thf(func_def_70, type, db1: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(func_def_71, type, db2: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(func_def_72, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.00/3.16 thf(func_def_73, type, vIMP: ($o > $o > $o)).
% 20.00/3.16 thf(func_def_74, type, sK0: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_75, type, sK1: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X0))).
% 20.00/3.16 thf(func_def_76, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X1))).
% 20.00/3.16 thf(func_def_77, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1 > X0))).
% 20.00/3.16 thf(func_def_78, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1))).
% 20.00/3.16 thf(func_def_79, type, sK5: poly @ real).
% 20.00/3.16 thf(func_def_80, type, sK6: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_81, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 20.00/3.16 thf(func_def_82, type, sK8: !>[X0: $tType]:((poly @ X0 > poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_83, type, sK9: !>[X0: $tType]:((X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_84, type, sK10: !>[X0: $tType]:((poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_85, type, sK11: (nat > nat)).
% 20.00/3.16 thf(func_def_86, type, sK12: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_87, type, sK13: (nat > nat)).
% 20.00/3.16 thf(func_def_88, type, sK14: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_89, type, sK15: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_90, type, sK16: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_91, type, sK17: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_92, type, sK18: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_93, type, sK19: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_94, type, sK20: !>[X0: $tType]:(((X0 > $o) > poly @ X0))).
% 20.00/3.16 thf(func_def_95, type, sK21: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_96, type, sK22: !>[X0: $tType]:((poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_97, type, sK23: !>[X0: $tType]:((X0 > poly @ X0))).
% 20.00/3.16 thf(func_def_98, type, sK24: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_99, type, sK25: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 20.00/3.16 thf(func_def_100, type, sK26: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_101, type, sK27: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 20.00/3.16 thf(func_def_102, type, sK28: !>[X0: $tType]:((poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_103, type, sK29: !>[X0: $tType]:((poly @ X0 > nat))).
% 20.00/3.16 thf(func_def_104, type, sK30: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_105, type, sK31: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.00/3.16 thf(func_def_106, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 20.00/3.16 thf(func_def_107, type, sK33: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_108, type, sK34: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_109, type, sK35: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_110, type, sK36: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_111, type, sK37: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_112, type, sK38: ((nat > nat > $o) > nat)).
% 20.00/3.16 thf(func_def_113, type, sK39: (nat > nat > nat)).
% 20.00/3.16 thf(func_def_114, type, sK40: (nat > nat > nat)).
% 20.00/3.16 thf(func_def_115, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 20.00/3.16 thf(func_def_116, type, sK42: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_117, type, sK43: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_118, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 20.00/3.16 thf(func_def_119, type, sK45: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_120, type, sK46: !>[X0: $tType]:(((nat > X0) > nat))).
% 20.00/3.16 thf(func_def_121, type, sK47: !>[X0: $tType]:(((nat > X0) > nat))).
% 20.00/3.16 thf(func_def_122, type, sK48: (nat > nat)).
% 20.00/3.16 thf(func_def_123, type, sK49: ((nat > $o) > nat)).
% 20.00/3.16 thf(func_def_124, type, sK50: !>[X0: $tType]:((poly @ X0 > nat > nat))).
% 20.00/3.16 thf(func_def_125, type, sK51: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 20.00/3.16 thf(func_def_126, type, sK52: (poly @ real > real > real > real)).
% 20.00/3.16 thf(func_def_127, type, sK53: (poly @ real > real > real > real)).
% 20.00/3.16 thf(func_def_128, type, sK54: (real > real > real)).
% 20.00/3.16 thf(func_def_129, type, sK55: (real > real)).
% 20.00/3.16 thf(func_def_130, type, sK56: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.00/3.16 thf(func_def_131, type, sK57: (poly @ real > real)).
% 20.00/3.16 thf(func_def_132, type, sK58: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_133, type, sK59: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_134, type, sK60: (nat > nat)).
% 20.00/3.16 thf(func_def_135, type, sK61: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_136, type, sK62: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_137, type, sK63: (nat > nat > nat)).
% 20.00/3.16 thf(func_def_138, type, sK64: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_139, type, sK65: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_140, type, sK66: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_141, type, sK67: ((nat > $o) > nat > nat)).
% 20.00/3.16 thf(func_def_142, type, sK68: (nat > nat > nat)).
% 20.00/3.16 thf(func_def_143, type, sK69: !>[X0: $tType]:((poly @ X0 > X0))).
% 20.00/3.16 thf(func_def_145, type, sK71: !>[X0: $tType]:(((nat > X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_146, type, sK72: !>[X0: $tType]:(((nat > X0 > $o) > X0))).
% 20.00/3.16 thf(func_def_147, type, db4: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(func_def_148, type, db3: !>[X0: $tType]:(X0)).
% 20.00/3.16 thf(f1,axiom,(
% 20.00/3.16 ! [X0 : $tType] : ((ring_n68954251visors @ X0 & comm_ring_1 @ X0) => ! [X3 : poly @ X0] : ((X3 != zero_zero @ poly @ X0) => (finite_finite2 @ X0 @ (collect @ X0 @ (^[X4 : X0] : ((((poly2 @ X0 @ X3 @ X4)) = zero_zero @ X0)))))))),
% 20.00/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_poly__roots__finite)).
% 20.00/3.16 thf(f3,axiom,(
% 20.00/3.16 (((pderiv @ real @ p)) != zero_zero @ poly @ real)),
% 20.00/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062pderiv_Ap_A_092_060noteq_062_A0_092_060close_062)).
% 20.00/3.16 thf(f277,axiom,(
% 20.00/3.16 ring_n68954251visors @ real),
% 20.00/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Oring__no__zero__divisors)).
% 20.00/3.16 thf(f289,axiom,(
% 20.00/3.16 comm_ring_1 @ real),
% 20.00/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Real_Oreal___Rings_Ocomm__ring__1)).
% 20.00/3.16 thf(f317,conjecture,(
% 20.00/3.16 (finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((((poly2 @ real @ (pderiv @ real @ p) @ X0)) = zero_zero @ real)))))),
% 20.00/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 20.00/3.16 thf(f318,negated_conjecture,(
% 20.00/3.16 ~(finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((((poly2 @ real @ (pderiv @ real @ p) @ X0)) = zero_zero @ real)))))),
% 20.00/3.16 inference(negated_conjecture,[status(cth)],[f317])).
% 20.00/3.16 thf(f319,plain,(
% 20.00/3.16 ! [X0 : $tType] : ((ring_n68954251visors @ X0 & comm_ring_1 @ X0) => ! [X1 : poly @ X0] : ((zero_zero @ poly @ X0 != X1) => (finite_finite2 @ X0 @ (collect @ X0 @ (^[X2 : X0] : ((zero_zero @ X0 = ((poly2 @ X0 @ X1 @ X2)))))))))),
% 20.00/3.16 inference(rectify,[],[f1])).
% 20.00/3.16 thf(f320,plain,(
% 20.00/3.16 ! [X0 : $tType] : (((ring_n68954251visors @ X0 = $true) & (comm_ring_1 @ X0 = $true)) => ! [X1 : poly @ X0] : ((zero_zero @ poly @ X0 != X1) => ($true = ((finite_finite2 @ X0 @ (collect @ X0 @ (^[Y0 : X0]: (zero_zero @ X0 = (poly2 @ X0 @ X1 @ Y0)))))))))),
% 20.00/3.16 inference(fool_elimination,[],[f319])).
% 20.00/3.16 thf(f821,plain,(
% 20.00/3.16 ring_n68954251visors @ real),
% 20.00/3.16 inference(rectify,[],[f277])).
% 20.00/3.16 thf(f822,plain,(
% 20.00/3.16 (ring_n68954251visors @ real = $true)),
% 20.00/3.16 inference(fool_elimination,[],[f821])).
% 20.00/3.16 thf(f845,plain,(
% 20.00/3.16 comm_ring_1 @ real),
% 20.00/3.16 inference(rectify,[],[f289])).
% 20.00/3.16 thf(f846,plain,(
% 20.00/3.16 (comm_ring_1 @ real = $true)),
% 20.00/3.16 inference(fool_elimination,[],[f845])).
% 20.00/3.16 thf(f901,plain,(
% 20.00/3.16 ~(finite_finite2 @ real @ (collect @ real @ (^[X0 : real] : ((((poly2 @ real @ (pderiv @ real @ p) @ X0)) = zero_zero @ real)))))),
% 20.00/3.16 inference(rectify,[],[f318])).
% 20.00/3.16 thf(f902,plain,(
% 20.00/3.16 ~ ($true = ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ (pderiv @ real @ p) @ Y0)))))))),
% 20.00/3.16 inference(fool_elimination,[],[f901])).
% 20.00/3.16 thf(f931,plain,(
% 20.00/3.16 ($true != ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ (pderiv @ real @ p) @ Y0)))))))),
% 20.00/3.16 inference(flattening,[],[f902])).
% 20.00/3.16 thf(f932,plain,(
% 20.00/3.16 ! [X0 : $tType] : (! [X1 : poly @ X0] : (($true = ((finite_finite2 @ X0 @ (collect @ X0 @ (^[Y0 : X0]: (zero_zero @ X0 = (poly2 @ X0 @ X1 @ Y0))))))) | (zero_zero @ poly @ X0 = X1)) | ((ring_n68954251visors @ X0 != $true) | (comm_ring_1 @ X0 != $true)))),
% 20.00/3.16 inference(ennf_transformation,[],[f320])).
% 20.00/3.16 thf(f933,plain,(
% 20.00/3.16 ! [X0 : $tType] : (! [X1 : poly @ X0] : (($true = ((finite_finite2 @ X0 @ (collect @ X0 @ (^[Y0 : X0]: (zero_zero @ X0 = (poly2 @ X0 @ X1 @ Y0))))))) | (zero_zero @ poly @ X0 = X1)) | (ring_n68954251visors @ X0 != $true) | (comm_ring_1 @ X0 != $true))),
% 20.00/3.16 inference(flattening,[],[f932])).
% 20.00/3.16 thf(f1277,plain,(
% 20.00/3.16 ( ! [X0 : $tType,X1 : poly @ X0] : (($true = ((finite_finite2 @ X0 @ (collect @ X0 @ (^[Y0 : X0]: (zero_zero @ X0 = (poly2 @ X0 @ X1 @ Y0))))))) | (zero_zero @ poly @ X0 = X1) | (ring_n68954251visors @ X0 != $true) | (comm_ring_1 @ X0 != $true)) )),
% 20.00/3.16 inference(cnf_transformation,[],[f933])).
% 20.00/3.16 thf(f1279,plain,(
% 20.00/3.16 (zero_zero @ poly @ real != ((pderiv @ real @ p)))),
% 20.00/3.16 inference(cnf_transformation,[],[f3])).
% 20.00/3.16 thf(f1619,plain,(
% 20.00/3.16 (ring_n68954251visors @ real = $true)),
% 20.00/3.16 inference(cnf_transformation,[],[f822])).
% 20.00/3.16 thf(f1631,plain,(
% 20.00/3.16 (comm_ring_1 @ real = $true)),
% 20.00/3.16 inference(cnf_transformation,[],[f846])).
% 20.00/3.16 thf(f1659,plain,(
% 20.00/3.16 ($true != ((finite_finite2 @ real @ (collect @ real @ (^[Y0 : real]: (zero_zero @ real = (poly2 @ real @ (pderiv @ real @ p) @ Y0)))))))),
% 20.00/3.16 inference(cnf_transformation,[],[f931])).
% 20.00/3.16 thf(f27304,plain,(
% 20.00/3.16 ($true != $true) | (zero_zero @ poly @ real = ((pderiv @ real @ p))) | (ring_n68954251visors @ real != $true) | (comm_ring_1 @ real != $true)),
% 20.00/3.16 inference(constrained_superposition,[],[f1659,f1277])).
% 20.00/3.16 thf(f27363,plain,(
% 20.00/3.16 (zero_zero @ poly @ real = ((pderiv @ real @ p))) | (ring_n68954251visors @ real != $true) | (comm_ring_1 @ real != $true)),
% 20.00/3.16 inference(trivial_inequality_removal,[],[f27304])).
% 20.00/3.16 thf(f27396,plain,(
% 20.00/3.16 (ring_n68954251visors @ real != $true) | (comm_ring_1 @ real != $true)),
% 20.00/3.16 inference(forward_subsumption_resolution,[],[f27363,f1279])).
% 20.00/3.16 thf(f27399,plain,(
% 20.00/3.16 (comm_ring_1 @ real != $true)),
% 20.00/3.16 inference(forward_subsumption_resolution,[],[f27396,f1619])).
% 20.00/3.16 thf(f27402,plain,(
% 20.00/3.16 $false),
% 20.00/3.16 inference(forward_subsumption_resolution,[],[f27399,f1631])).
% 20.00/3.16 % SZS output end Proof for theBenchmark
% 20.00/3.16 % (2577792)------------------------------
% 20.00/3.16 % (2577792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.16 % (2577792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.16 % (2577792)CaDiCaL version: 2.1.3
% 20.00/3.16 % (2577792)Termination reason: Refutation
% 20.00/3.16 % (2577792)Time elapsed: 1.249 s
% 20.00/3.16 % (2577792)Peak memory usage: 28 MB
% 20.00/3.16 % (2577792)Instructions burned: 2690 (million)
% 20.00/3.16 % (2577725)Success in time 2.836 s
% 20.00/3.16 % Vampire exiting
%------------------------------------------------------------------------------