%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP095^2 : 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 : n004.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 39.29s 5.93s
% Output : Refutation 39.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP095^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:52:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.23/0.96 % (1753971)Will run a generic schedule for satisfiability detection.
% 4.23/0.96 % (1753976)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3468196255_2999 on theBenchmark for (2999ds/0Mi)
% 4.23/0.96 % (1753977)% WARNING: option uhcvi not known.
% 4.23/0.96 % (1753980)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3511014024:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.23/0.96 % (1753977)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=475743874:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.23/0.96 % (1753978)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=644717894:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.23/0.96 % (1753979)dis+10_1_sil=32000:sp=arity:random_seed=2401183521:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.23/0.96 % (1753981)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2210102637:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/0.96 % (1753982)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3136095269:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.23/0.96 % Exception at run slice level
% 4.23/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.23/0.96 % (1753977)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/0.96 % (1753980)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/0.96 % (1753990)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3536810504:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.23/0.96 % (1753977)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.23/0.96 % Exception at run slice level
% 4.23/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.23/0.96 % (1753992)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3465514975:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/0.96 % (1753979)Instruction limit reached!
% 4.23/0.96 % (1753979)------------------------------
% 4.23/0.96 % (1753979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.96 % (1753979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.96 % (1753979)CaDiCaL version: 2.1.3
% 4.23/0.96 % (1753979)Termination reason: Instruction limit
% 4.23/0.96 % (1753979)Termination phase: Saturation
% 4.23/0.96 % (1753979)Time elapsed: 0.046 s
% 4.23/0.96 % (1753979)Peak memory usage: 13 MB
% 4.23/0.96 % (1753979)Instructions burned: 104 (million)
% 4.23/0.96 % (1753980)Instruction limit reached!
% 4.23/0.96 % (1753980)------------------------------
% 4.23/0.96 % (1753980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.96 % (1753980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.96 % (1753980)CaDiCaL version: 2.1.3
% 4.23/0.96 % (1753980)Termination reason: Instruction limit
% 4.23/0.96 % (1753980)Termination phase: Saturation
% 4.23/0.96 % (1753980)Time elapsed: 0.052 s
% 4.23/0.96 % (1753980)Peak memory usage: 13 MB
% 4.23/0.96 % (1753980)Instructions burned: 117 (million)
% 4.23/0.96 % (1753981)Instruction limit reached!
% 4.23/0.96 % (1753981)------------------------------
% 4.23/0.96 % (1753981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.96 % (1753981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.96 % (1753981)CaDiCaL version: 2.1.3
% 4.23/0.96 % (1753981)Termination reason: Instruction limit
% 4.23/0.96 % (1753981)Termination phase: Saturation
% 4.23/0.96 % (1753981)Time elapsed: 0.061 s
% 4.23/0.96 % (1753981)Peak memory usage: 14 MB
% 4.23/0.96 % (1753981)Instructions burned: 132 (million)
% 4.23/0.96 % (1753994)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=3444416389:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.23/0.96 % (1753995)ott-21_1_sil=16000:fs=off:random_seed=2599508308:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.23/0.96 % (1753992)Instruction limit reached!
% 4.23/0.96 % (1753992)------------------------------
% 4.23/0.96 % (1753992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.96 % (1753982)Instruction limit reached!
% 4.23/0.96 % (1753982)------------------------------
% 16.77/2.77 % (1753982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.77/2.77 % (1753992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/2.77 % (1753982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/2.77 % (1753992)CaDiCaL version: 2.1.3
% 16.77/2.77 % (1753992)Termination reason: Instruction limit
% 16.77/2.77 % (1753992)Termination phase: Saturation
% 16.77/2.77 % (1753982)CaDiCaL version: 2.1.3
% 16.77/2.77 % (1753992)Time elapsed: 0.032 s
% 16.77/2.77 % (1753982)Termination reason: Instruction limit
% 16.77/2.77 % (1753982)Termination phase: Saturation
% 16.77/2.77 % (1753992)Peak memory usage: 13 MB
% 16.77/2.77 % (1753982)Time elapsed: 0.075 s
% 16.77/2.77 % (1753992)Instructions burned: 132 (million)
% 16.77/2.77 % (1753982)Peak memory usage: 14 MB
% 16.77/2.77 % (1753982)Instructions burned: 160 (million)
% 16.77/2.77 % (1753996)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1733533722:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.77/2.77 % (1753994)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.77/2.77 % (1754000)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3682236981:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.77/2.77 % (1753999)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2429870519:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.77/2.77 % (1753994)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.77/2.77 % Exception at run slice level
% 16.77/2.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.77/2.77 % (1754004)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=774947969:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 16.77/2.77 % (1753995)Instruction limit reached!
% 16.77/2.77 % (1753995)------------------------------
% 16.77/2.77 % (1753995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.77/2.77 % (1753995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/2.77 % (1753995)CaDiCaL version: 2.1.3
% 16.77/2.77 % (1753995)Termination reason: Instruction limit
% 16.77/2.77 % (1753995)Termination phase: Saturation
% 16.77/2.77 % (1753995)Time elapsed: 0.079 s
% 16.77/2.77 % (1753995)Peak memory usage: 13 MB
% 16.77/2.77 % (1753995)Instructions burned: 181 (million)
% 16.77/2.77 % (1754006)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=1785995579: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)
% 16.77/2.77 % Exception at run slice level
% 16.77/2.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.77/2.77 % (1754006)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.77/2.77 % (1754008)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3842993706:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.77/2.77 % (1754008)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.77/2.77 % (1753996)Instruction limit reached!
% 16.77/2.77 % (1753996)------------------------------
% 16.77/2.77 % (1753996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.77/2.77 % (1753996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/2.77 % (1753996)CaDiCaL version: 2.1.3
% 16.77/2.77 % (1753996)Termination reason: Instruction limit
% 16.77/2.77 % (1753996)Termination phase: Saturation
% 16.77/2.77 % (1753996)Time elapsed: 0.266 s
% 16.77/2.77 % (1753996)Peak memory usage: 14 MB
% 16.77/2.77 % (1753996)Instructions burned: 479 (million)
% 16.77/2.77 % (1754010)fmb+10_1_sil=64000:random_seed=3550958104:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.77/2.77 % (1754010)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.77/2.77 % Exception at run slice level
% 16.77/2.77 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.77/2.77 % (1753994)Instruction limit reached!
% 16.77/2.77 % (1753994)------------------------------
% 16.77/2.77 % (1753994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.77/2.77 % (1753994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.69/5.43 % (1753994)CaDiCaL version: 2.1.3
% 36.69/5.43 % (1753994)Termination reason: Instruction limit
% 36.69/5.43 % (1753994)Termination phase: Saturation
% 36.69/5.43 % (1753994)Time elapsed: 0.340 s
% 36.69/5.43 % (1753994)Peak memory usage: 16 MB
% 36.69/5.43 % (1753994)Instructions burned: 684 (million)
% 36.69/5.43 % (1754012)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3827259292:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 36.69/5.43 % (1754013)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3652830163:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 36.69/5.43 % (1754000)Instruction limit reached!
% 36.69/5.43 % (1754000)------------------------------
% 36.69/5.43 % (1754000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.69/5.43 % (1754000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.69/5.43 % (1754000)CaDiCaL version: 2.1.3
% 36.69/5.43 % (1754000)Termination reason: Instruction limit
% 36.69/5.43 % (1754000)Termination phase: Saturation
% 36.69/5.43 % (1754000)Time elapsed: 0.346 s
% 36.69/5.43 % (1754000)Peak memory usage: 20 MB
% 36.69/5.43 % (1754000)Instructions burned: 1179 (million)
% 36.69/5.43 % Exception at run slice level
% 36.69/5.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.69/5.43 % (1754016)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2716226086:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 36.69/5.43 % (1754016)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 36.69/5.43 % Exception at run slice level
% 36.69/5.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.69/5.43 % (1754017)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2696321637:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 36.69/5.43 % (1754019)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=827612789:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 36.69/5.43 % (1754017)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 36.69/5.43 % (1754017)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 36.69/5.43 % Exception at run slice level
% 36.69/5.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.69/5.43 % (1754022)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1147453718:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 36.69/5.43 % (1754006)Instruction limit reached!
% 36.69/5.43 % (1754006)------------------------------
% 36.69/5.43 % (1754006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.69/5.43 % (1754006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.69/5.43 % (1754006)CaDiCaL version: 2.1.3
% 36.69/5.43 % (1754006)Termination reason: Instruction limit
% 36.69/5.43 % (1754006)Termination phase: Saturation
% 36.69/5.43 % (1754006)Time elapsed: 0.368 s
% 36.69/5.43 % (1754006)Peak memory usage: 17 MB
% 36.69/5.43 % (1754006)Instructions burned: 693 (million)
% 36.69/5.43 % Exception at run slice level
% 36.69/5.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.69/5.43 % (1754024)ott-2_1_sil=16000:newcnf=on:random_seed=775433831:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 36.69/5.43 % (1754025)ott+10_1_sil=32000:tgt=ground:random_seed=1380020671:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 36.69/5.43 % (1754024)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 36.69/5.43 % (1754008)Instruction limit reached!
% 36.69/5.43 % (1754008)------------------------------
% 36.69/5.43 % (1754008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.69/5.43 % (1754008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.69/5.43 % (1754008)CaDiCaL version: 2.1.3
% 36.69/5.43 % (1754008)Termination reason: Instruction limit
% 36.69/5.43 % (1754008)Termination phase: Saturation
% 36.69/5.43 % (1754008)Time elapsed: 0.453 s
% 36.69/5.43 % (1754008)Peak memory usage: 17 MB
% 36.69/5.43 % (1754008)Instructions burned: 881 (million)
% 36.69/5.43 % (1754028)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=542677102:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 36.69/5.43 % Exception at run slice level
% 39.29/5.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.29/5.93 % (1754030)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3010342827:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 39.29/5.93 % (1754030)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 39.29/5.93 % (1754024)Instruction limit reached!
% 39.29/5.93 % (1754024)------------------------------
% 39.29/5.93 % (1754024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754024)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754024)Termination reason: Instruction limit
% 39.29/5.93 % (1754024)Termination phase: Saturation
% 39.29/5.93 % (1754024)Time elapsed: 0.412 s
% 39.29/5.93 % (1754024)Peak memory usage: 16 MB
% 39.29/5.93 % (1754024)Instructions burned: 870 (million)
% 39.29/5.93 % (1754032)dis+21_1_sil=32000:sas=cadical:random_seed=1348928824:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 39.29/5.93 % (1754017)Instruction limit reached!
% 39.29/5.93 % (1754017)------------------------------
% 39.29/5.93 % (1754017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754017)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754017)Termination reason: Instruction limit
% 39.29/5.93 % (1754017)Termination phase: Saturation
% 39.29/5.93 % (1754017)Time elapsed: 0.742 s
% 39.29/5.93 % (1754017)Peak memory usage: 18 MB
% 39.29/5.93 % (1754017)Instructions burned: 1472 (million)
% 39.29/5.93 % (1754034)ott+11_1_sil=16000:gs=on:random_seed=471552576:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 39.29/5.93 % (1754034)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 39.29/5.93 % (1754016)Instruction limit reached!
% 39.29/5.93 % (1754016)------------------------------
% 39.29/5.93 % (1754016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754016)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754016)Termination reason: Instruction limit
% 39.29/5.93 % (1754016)Termination phase: Saturation
% 39.29/5.93 % (1754016)Time elapsed: 1.317 s
% 39.29/5.93 % (1754016)Peak memory usage: 33 MB
% 39.29/5.93 % (1754016)Instructions burned: 5133 (million)
% 39.29/5.93 % (1754036)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=278523271:fmbsr=1.6:i=67534_2981 on theBenchmark for (2981ds/67534Mi)
% 39.29/5.93 % Exception at run slice level
% 39.29/5.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.29/5.93 % (1754038)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4278642144:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 39.29/5.93 % (1754034)Instruction limit reached!
% 39.29/5.93 % (1754034)------------------------------
% 39.29/5.93 % (1754034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754034)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754034)Termination reason: Instruction limit
% 39.29/5.93 % (1754034)Termination phase: Saturation
% 39.29/5.93 % (1754034)Time elapsed: 1.081 s
% 39.29/5.93 % (1754034)Peak memory usage: 23 MB
% 39.29/5.93 % (1754034)Instructions burned: 2254 (million)
% 39.29/5.93 % (1754040)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=32503700:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 39.29/5.93 % (1754030)Instruction limit reached!
% 39.29/5.93 % (1754030)------------------------------
% 39.29/5.93 % (1754030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754030)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754030)Termination reason: Instruction limit
% 39.29/5.93 % (1754030)Termination phase: Saturation
% 39.29/5.93 % (1754030)Time elapsed: 1.768 s
% 39.29/5.93 % (1754030)Peak memory usage: 28 MB
% 39.29/5.93 % (1754030)Instructions burned: 3513 (million)
% 39.29/5.93 % (1754042)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=808071831:i=5211_2974 on theBenchmark for (2974ds/5211Mi)
% 39.29/5.93 % (1754032)Instruction limit reached!
% 39.29/5.93 % (1754032)------------------------------
% 39.29/5.93 % (1754032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754032)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754032)Termination reason: Instruction limit
% 39.29/5.93 % (1754032)Termination phase: Saturation
% 39.29/5.93 % (1754032)Time elapsed: 1.811 s
% 39.29/5.93 % (1754032)Peak memory usage: 27 MB
% 39.29/5.93 % (1754032)Instructions burned: 3774 (million)
% 39.29/5.93 % (1754044)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3087228426:i=5497:nm=2_2971 on theBenchmark for (2971ds/5497Mi)
% 39.29/5.93 % Exception at run slice level
% 39.29/5.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.29/5.93 % (1754046)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3367098261:fmbsr=2:i=46332_2971 on theBenchmark for (2971ds/46332Mi)
% 39.29/5.93 % Exception at run slice level
% 39.29/5.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.29/5.93 % (1754048)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3367016931:i=14071_2970 on theBenchmark for (2970ds/14071Mi)
% 39.29/5.93 % Exception at run slice level
% 39.29/5.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.29/5.93 % (1754038)Instruction limit reached!
% 39.29/5.93 % (1754038)------------------------------
% 39.29/5.93 % (1754038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754038)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754038)Termination reason: Instruction limit
% 39.29/5.93 % (1754038)Termination phase: Saturation
% 39.29/5.93 % (1754038)Time elapsed: 1.161 s
% 39.29/5.93 % (1754038)Peak memory usage: 41 MB
% 39.29/5.93 % (1754038)Instructions burned: 4591 (million)
% 39.29/5.93 % (1754050)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=604363143:i=22565:add=on:rawr=on_2970 on theBenchmark for (2970ds/22565Mi)
% 39.29/5.93 % (1754051)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3392592457:i=8173:av=off_2969 on theBenchmark for (2969ds/8173Mi)
% 39.29/5.93 % (1754025)Instruction limit reached!
% 39.29/5.93 % (1754025)------------------------------
% 39.29/5.93 % (1754025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754025)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754025)Termination reason: Instruction limit
% 39.29/5.93 % (1754025)Termination phase: Saturation
% 39.29/5.93 % (1754025)Time elapsed: 2.578 s
% 39.29/5.93 % (1754025)Peak memory usage: 42 MB
% 39.29/5.93 % (1754025)Instructions burned: 5114 (million)
% 39.29/5.93 % (1754054)dis+10_16:1_sil=16000:random_seed=3381931544:i=9155:fsr=off_2968 on theBenchmark for (2968ds/9155Mi)
% 39.29/5.93 % (1754042)Instruction limit reached!
% 39.29/5.93 % (1754042)------------------------------
% 39.29/5.93 % (1754042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754042)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754042)Termination reason: Instruction limit
% 39.29/5.93 % (1754042)Termination phase: Saturation
% 39.29/5.93 % (1754042)Time elapsed: 2.633 s
% 39.29/5.93 % (1754042)Peak memory usage: 36 MB
% 39.29/5.93 % (1754042)Instructions burned: 5211 (million)
% 39.29/5.93 % (1754051)Instruction limit reached!
% 39.29/5.93 % (1754051)------------------------------
% 39.29/5.93 % (1754051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754051)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754051)Termination reason: Instruction limit
% 39.29/5.93 % (1754051)Termination phase: Saturation
% 39.29/5.93 % (1754051)Time elapsed: 2.176 s
% 39.29/5.93 % (1754051)Peak memory usage: 56 MB
% 39.29/5.93 % (1754051)Instructions burned: 8174 (million)
% 39.29/5.93 % (1754057)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2420954004:fmbsr=2:i=32576_2947 on theBenchmark for (2947ds/32576Mi)
% 39.29/5.93 % (1754056)ott-3_8_sil=64000:random_seed=393180797:i=20139:bs=on_2948 on theBenchmark for (2948ds/20139Mi)
% 39.29/5.93 % Exception at run slice level
% 39.29/5.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.29/5.93 % (1754060)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3818678981:i=11404_2947 on theBenchmark for (2947ds/11404Mi)
% 39.29/5.93 % (1754040) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1753971-1754040"...
% 39.29/5.93 % (1754040)...printing done.
% 39.29/5.93 % (1754040)Refutation found. Thanks to Tanya!
% 39.29/5.93 % SZS status Theorem for theBenchmark
% 39.29/5.93 % SZS output start Proof for theBenchmark
% 39.29/5.93 thf(type_def_5, type, poly: $tType > $tType).
% 39.29/5.93 thf(type_def_6, type, real: $tType).
% 39.29/5.93 thf(type_def_7, type, set: $tType > $tType).
% 39.29/5.93 thf(type_def_8, type, nat: $tType).
% 39.29/5.93 thf(type_def_9, type, int: $tType).
% 39.29/5.93 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 39.29/5.93 thf(func_def_0, type, ab_group_add: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_1, type, idom: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_4, type, power: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_5, type, field: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_6, type, ring_1: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_7, type, ring_char_0: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_8, type, comm_ring: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_9, type, group_add: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_10, type, semiring_1: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_11, type, comm_ring_1: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_12, type, idom_divide: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_13, type, monoid_mult: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_14, type, field_char_0: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_15, type, division_ring: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_16, type, field_abs_sgn: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_17, type, comm_semiring_0: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_18, type, comm_semiring_1: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_19, type, linordered_idom: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_20, type, linordered_field: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_21, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_22, type, linordered_semidom: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_23, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_24, type, ring_n68954251visors: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_25, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_26, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_27, type, ordere142940540dd_abs: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_28, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_29, type, semiri134348788visors: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_30, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 39.29/5.93 thf(func_def_31, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 39.29/5.93 thf(func_def_32, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 39.29/5.93 thf(func_def_33, type, one_one: !>[X0: $tType]:(X0)).
% 39.29/5.93 thf(func_def_34, type, zero_zero: !>[X0: $tType]:(X0)).
% 39.29/5.93 thf(func_def_35, type, ring_1_Ints: !>[X0: $tType]:(set @ X0)).
% 39.29/5.93 thf(func_def_36, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 39.29/5.93 thf(func_def_37, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 39.29/5.93 thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 39.29/5.93 thf(func_def_39, type, algebraic: !>[X0: $tType]:((X0 > $o))).
% 39.29/5.93 thf(func_def_40, type, degree: !>[X0: $tType]:((poly @ X0 > nat))).
% 39.29/5.93 thf(func_def_41, type, poly2: !>[X0: $tType]:((poly @ X0 > X0 > X0))).
% 39.29/5.93 thf(func_def_42, type, coeff: !>[X0: $tType]:((poly @ X0 > nat > X0))).
% 39.29/5.93 thf(func_def_43, type, power_power: !>[X0: $tType]:((X0 > nat > X0))).
% 39.29/5.93 thf(func_def_44, type, field_char_0_Rats: !>[X0: $tType]:(set @ X0)).
% 39.29/5.93 thf(func_def_45, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 39.29/5.93 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 39.29/5.93 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 39.29/5.93 thf(func_def_48, type, a: real).
% 39.29/5.93 thf(func_def_49, type, m: real).
% 39.29/5.93 thf(func_def_50, type, a2: int).
% 39.29/5.93 thf(func_def_51, type, b: int).
% 39.29/5.93 thf(func_def_52, type, n: nat).
% 39.29/5.93 thf(func_def_53, type, p: poly @ real).
% 39.29/5.93 thf(func_def_54, type, roots: set @ real).
% 39.29/5.93 thf(func_def_55, type, thesis: $o).
% 39.29/5.93 thf(func_def_56, type, x: real).
% 39.29/5.93 thf(func_def_60, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 39.29/5.93 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 39.29/5.93 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 39.29/5.93 thf(func_def_63, type, db1: !>[X0: $tType]:(X0)).
% 39.29/5.93 thf(func_def_64, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 39.29/5.93 thf(func_def_65, type, db2: !>[X0: $tType]:(X0)).
% 39.29/5.93 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 39.29/5.93 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 39.29/5.93 thf(func_def_68, type, vNOT: ($o > $o)).
% 39.29/5.93 thf(func_def_69, type, vOR: ($o > $o > $o)).
% 39.29/5.93 thf(func_def_70, type, vIMP: ($o > $o > $o)).
% 39.29/5.93 thf(func_def_71, type, sK0: poly @ real).
% 39.29/5.93 thf(func_def_72, type, sK1: !>[X0: $tType]:((poly @ X0 > poly @ X0 > nat))).
% 39.29/5.93 thf(func_def_73, type, sK2: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 39.29/5.93 thf(func_def_74, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 39.29/5.93 thf(func_def_75, type, sK4: !>[X0: $tType]:((poly @ X0 > nat))).
% 39.29/5.93 thf(func_def_76, type, sK5: !>[X0: $tType]:((X0 > poly @ X0))).
% 39.29/5.93 thf(func_def_77, type, sK6: !>[X0: $tType]:(((X0 > $o) > int))).
% 39.29/5.93 thf(func_def_78, type, sK7: !>[X0: $tType]:((X0 > int))).
% 39.29/5.93 thf(func_def_79, type, sK8: (poly @ real > nat)).
% 39.29/5.93 thf(func_def_80, type, sK9: (poly @ real > real > real > real)).
% 39.29/5.93 thf(func_def_81, type, sK10: (poly @ real > real > real > real)).
% 39.29/5.93 thf(func_def_82, type, sK11: !>[X0: $tType]:((X0 > X0))).
% 39.29/5.93 thf(func_def_83, type, sK12: !>[X0: $tType]:((X0 > X0))).
% 39.29/5.93 thf(func_def_84, type, sK13: !>[X0: $tType]:((poly @ X0 > nat > nat))).
% 39.29/5.93 thf(func_def_85, type, sK14: !>[X0: $tType]:((poly @ X0 > nat > nat))).
% 39.29/5.93 thf(func_def_86, type, sK15: (real > int)).
% 39.29/5.93 thf(func_def_87, type, sK16: (real > int)).
% 39.29/5.93 thf(func_def_88, type, sK17: (poly @ real > real)).
% 39.29/5.93 thf(func_def_89, type, sK18: (nat > real > int)).
% 39.29/5.93 thf(func_def_90, type, sK19: (nat > real > int)).
% 39.29/5.93 thf(func_def_91, type, sK20: !>[X0: $tType]:((poly @ X0 > X0))).
% 39.29/5.93 thf(f3,axiom,(
% 39.29/5.93 ! [X0 : nat] : (member @ real @ (coeff @ real @ p @ X0) @ ring_1_Ints @ real)),
% 39.29/5.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_p_I1_J)).
% 39.29/5.93 thf(f4,axiom,(
% 39.29/5.93 (ord_less @ int @ zero_zero @ int @ b)),
% 39.29/5.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_b)).
% 39.29/5.93 thf(f6,axiom,(
% 39.29/5.93 (((poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))) != zero_zero @ real)),
% 39.29/5.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_no__root)).
% 39.29/5.93 thf(f76,axiom,(
% 39.29/5.93 ! [X0 : poly @ real,X1 : int,X2 : int] : (! [X3 : nat] : (member @ real @ (coeff @ real @ X0 @ X3) @ ring_1_Ints @ real) => ((ord_less @ int @ zero_zero @ int @ X1) => ((((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))) != zero_zero @ real) => (ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1))))))))),
% 39.29/5.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_int__poly__rat__no__root__ge)).
% 39.29/5.93 thf(f346,conjecture,(
% 39.29/5.93 (ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ b) @ (degree @ real @ p))) @ (abs_abs @ real @ (poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))),
% 39.29/5.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 39.29/5.93 thf(f347,negated_conjecture,(
% 39.29/5.93 ~(ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ b) @ (degree @ real @ p))) @ (abs_abs @ real @ (poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))),
% 39.29/5.93 inference(negated_conjecture,[status(cth)],[f346])).
% 39.29/5.93 thf(f350,plain,(
% 39.29/5.93 ! [X0 : nat] : (member @ real @ (coeff @ real @ p @ X0) @ ring_1_Ints @ real)),
% 39.29/5.93 inference(rectify,[],[f3])).
% 39.29/5.93 thf(f351,plain,(
% 39.29/5.93 ! [X0 : nat] : (((member @ real @ (coeff @ real @ p @ X0) @ ring_1_Ints @ real)) = $true)),
% 39.29/5.93 inference(fool_elimination,[],[f350])).
% 39.29/5.93 thf(f352,plain,(
% 39.29/5.93 (ord_less @ int @ zero_zero @ int @ b)),
% 39.29/5.93 inference(rectify,[],[f4])).
% 39.29/5.93 thf(f353,plain,(
% 39.29/5.93 (((ord_less @ int @ zero_zero @ int @ b)) = $true)),
% 39.29/5.93 inference(fool_elimination,[],[f352])).
% 39.29/5.93 thf(f481,plain,(
% 39.29/5.93 ! [X0 : poly @ real,X1 : int,X2 : int] : (! [X3 : nat] : (member @ real @ (coeff @ real @ X0 @ X3) @ ring_1_Ints @ real) => ((ord_less @ int @ zero_zero @ int @ X1) => ((((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))) != zero_zero @ real) => (ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1))))))))),
% 39.29/5.93 inference(rectify,[],[f76])).
% 39.29/5.93 thf(f482,plain,(
% 39.29/5.93 ! [X0 : poly @ real,X1 : int,X2 : int] : (! [X3 : nat] : (((member @ real @ (coeff @ real @ X0 @ X3) @ ring_1_Ints @ real)) = $true) => ((((ord_less @ int @ zero_zero @ int @ X1)) = $true) => ((zero_zero @ real != ((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1))))) => (((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))))) = $true))))),
% 39.29/5.93 inference(fool_elimination,[],[f481])).
% 39.29/5.93 thf(f1021,plain,(
% 39.29/5.93 ~(ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ b) @ (degree @ real @ p))) @ (abs_abs @ real @ (poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))),
% 39.29/5.93 inference(rectify,[],[f347])).
% 39.29/5.93 thf(f1022,plain,(
% 39.29/5.93 ~ (((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ b) @ (degree @ real @ p))) @ (abs_abs @ real @ (poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))) = $true)),
% 39.29/5.93 inference(fool_elimination,[],[f1021])).
% 39.29/5.93 thf(f1028,plain,(
% 39.29/5.93 (((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ b) @ (degree @ real @ p))) @ (abs_abs @ real @ (poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))) != $true)),
% 39.29/5.93 inference(flattening,[],[f1022])).
% 39.29/5.93 thf(f1100,plain,(
% 39.29/5.93 ! [X0 : poly @ real,X1 : int,X2 : int] : ((((((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))))) = $true) | (zero_zero @ real = ((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))))) | (((ord_less @ int @ zero_zero @ int @ X1)) != $true)) | ? [X3 : nat] : (((member @ real @ (coeff @ real @ X0 @ X3) @ ring_1_Ints @ real)) != $true))),
% 39.29/5.93 inference(ennf_transformation,[],[f482])).
% 39.29/5.93 thf(f1101,plain,(
% 39.29/5.93 ! [X0 : poly @ real,X1 : int,X2 : int] : ((((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))))) = $true) | (zero_zero @ real = ((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1))))) | (((ord_less @ int @ zero_zero @ int @ X1)) != $true) | ? [X3 : nat] : (((member @ real @ (coeff @ real @ X0 @ X3) @ ring_1_Ints @ real)) != $true))),
% 39.29/5.93 inference(flattening,[],[f1100])).
% 39.29/5.93 thf(f1352,plain,(
% 39.29/5.93 ! [X0 : poly @ real,X1 : int,X2 : int] : ((((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))))) = $true) | (zero_zero @ real = ((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1))))) | (((ord_less @ int @ zero_zero @ int @ X1)) != $true) | ($true != ((member @ real @ (coeff @ real @ X0 @ (sK8 @ X0)) @ ring_1_Ints @ real))))),
% 39.29/5.93 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK1 @ X0 @ X2 @ X1)],[f1101])).
% 39.29/5.93 thf(f1364,plain,(
% 39.29/5.93 ( ! [X0 : nat] : ((((member @ real @ (coeff @ real @ p @ X0) @ ring_1_Ints @ real)) = $true)) )),
% 39.29/5.93 inference(cnf_transformation,[],[f351])).
% 39.29/5.93 thf(f1365,plain,(
% 39.29/5.93 (((ord_less @ int @ zero_zero @ int @ b)) = $true)),
% 39.29/5.93 inference(cnf_transformation,[],[f353])).
% 39.29/5.93 thf(f1367,plain,(
% 39.29/5.93 (zero_zero @ real != ((poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))),
% 39.29/5.93 inference(cnf_transformation,[],[f6])).
% 39.29/5.93 thf(f1441,plain,(
% 39.29/5.93 ( ! [X2 : int,X0 : poly @ real,X1 : int] : (($true != ((member @ real @ (coeff @ real @ X0 @ (sK8 @ X0)) @ ring_1_Ints @ real))) | (zero_zero @ real = ((poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1))))) | (((ord_less @ int @ zero_zero @ int @ X1)) != $true) | (((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ X1) @ (degree @ real @ X0))) @ (abs_abs @ real @ (poly2 @ real @ X0 @ (divide_divide @ real @ (ring_1_of_int @ real @ X2) @ (ring_1_of_int @ real @ X1)))))) = $true)) )),
% 39.29/5.93 inference(cnf_transformation,[],[f1352])).
% 39.29/5.93 thf(f1721,plain,(
% 39.29/5.93 (((ord_less_eq @ real @ (divide_divide @ real @ one_one @ real @ (power_power @ real @ (ring_1_of_int @ real @ b) @ (degree @ real @ p))) @ (abs_abs @ real @ (poly2 @ real @ p @ (divide_divide @ real @ (ring_1_of_int @ real @ a2) @ (ring_1_of_int @ real @ b)))))) != $true)),
% 39.29/5.93 inference(cnf_transformation,[],[f1028])).
% 39.29/5.93 thf(f131198,plain,(
% 39.29/5.93 $false),
% 39.29/5.93 inference(unit_resulting_resolution,[],[f1441,f1365,f1364,f1721,f1367])).
% 39.29/5.93 % SZS output end Proof for theBenchmark
% 39.29/5.93 % (1754040)------------------------------
% 39.29/5.93 % (1754040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.29/5.93 % (1754040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.29/5.93 % (1754040)CaDiCaL version: 2.1.3
% 39.29/5.93 % (1754040)Termination reason: Refutation
% 39.29/5.93 % (1754040)Time elapsed: 3.324 s
% 39.29/5.93 % (1754040)Peak memory usage: 42 MB
% 39.29/5.93 % (1754040)Instructions burned: 7348 (million)
% 39.29/5.93 % (1753971)Success in time 5.712 s
% 39.29/5.93 % Vampire exiting
%------------------------------------------------------------------------------