%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP199^2 : 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 : n008.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 08:11:05 AM UTC 2026
% Result : Theorem 25.95s 4.04s
% Output : Refutation 25.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP199^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n008.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 20:11:40 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 4.90/1.09 % (3670811)Will run a generic schedule for satisfiability detection.
% 4.90/1.09 % (3670821)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3777591046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.90/1.09 % (3670817)% WARNING: option uhcvi not known.
% 4.90/1.09 % (3670816)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3801122263_2999 on theBenchmark for (2999ds/0Mi)
% 4.90/1.09 % (3670817)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3074085805:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.90/1.09 % (3670818)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3122428820:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.90/1.09 % (3670819)dis+10_1_sil=32000:sp=arity:random_seed=2955390220:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.90/1.09 % (3670820)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3038808238:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.90/1.09 % (3670822)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=989188139:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.90/1.09 % (3670817)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.90/1.09 % (3670820)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.90/1.09 % (3670821)Instruction limit reached!
% 4.90/1.09 % (3670821)------------------------------
% 4.90/1.09 % (3670821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (3670821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (3670821)CaDiCaL version: 2.1.3
% 4.90/1.09 % (3670821)Termination reason: Instruction limit
% 4.90/1.09 % (3670821)Termination phase: Saturation
% 4.90/1.09 % (3670821)Time elapsed: 0.033 s
% 4.90/1.09 % (3670821)Peak memory usage: 13 MB
% 4.90/1.09 % (3670821)Instructions burned: 132 (million)
% 4.90/1.09 % Exception at run slice level
% 4.90/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.90/1.09 % (3670817)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.90/1.09 % (3670830)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2454261364:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.90/1.09 % (3670819)Instruction limit reached!
% 4.90/1.09 % (3670819)------------------------------
% 4.90/1.09 % (3670819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (3670819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (3670819)CaDiCaL version: 2.1.3
% 4.90/1.09 % (3670819)Termination reason: Instruction limit
% 4.90/1.09 % (3670819)Termination phase: Saturation
% 4.90/1.09 % (3670819)Time elapsed: 0.047 s
% 4.90/1.09 % (3670819)Peak memory usage: 12 MB
% 4.90/1.09 % (3670819)Instructions burned: 105 (million)
% 4.90/1.09 % (3670820)Instruction limit reached!
% 4.90/1.09 % (3670820)------------------------------
% 4.90/1.09 % (3670820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.90/1.09 % (3670831)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1753805353:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.90/1.09 % (3670820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.09 % (3670820)CaDiCaL version: 2.1.3
% 4.90/1.09 % (3670820)Termination reason: Instruction limit
% 4.90/1.09 % (3670820)Termination phase: Saturation
% 4.90/1.09 % (3670820)Time elapsed: 0.053 s
% 4.90/1.09 % (3670820)Peak memory usage: 13 MB
% 4.90/1.09 % (3670820)Instructions burned: 118 (million)
% 4.90/1.09 % Exception at run slice level
% 4.90/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.90/1.09 % (3670833)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=1579977644:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.90/1.09 % (3670836)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3872709327:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.90/1.09 % (3670835)ott-21_1_sil=16000:fs=off:random_seed=2168569955:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.90/1.09 % (3670822)Instruction limit reached!
% 4.90/1.09 % (3670822)------------------------------
% 17.67/2.86 % (3670822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.86 % (3670822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.86 % (3670822)CaDiCaL version: 2.1.3
% 17.67/2.86 % (3670822)Termination reason: Instruction limit
% 17.67/2.86 % (3670822)Termination phase: Saturation
% 17.67/2.86 % (3670822)Time elapsed: 0.076 s
% 17.67/2.86 % (3670822)Peak memory usage: 14 MB
% 17.67/2.86 % (3670822)Instructions burned: 159 (million)
% 17.67/2.86 % (3670833)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.67/2.86 % (3670840)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1249592864:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.67/2.86 % (3670833)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.67/2.86 % (3670831)Instruction limit reached!
% 17.67/2.86 % (3670831)------------------------------
% 17.67/2.86 % (3670831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.86 % (3670831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.86 % (3670831)CaDiCaL version: 2.1.3
% 17.67/2.86 % (3670831)Termination reason: Instruction limit
% 17.67/2.86 % (3670831)Termination phase: Saturation
% 17.67/2.86 % (3670831)Time elapsed: 0.061 s
% 17.67/2.86 % (3670831)Peak memory usage: 13 MB
% 17.67/2.86 % (3670831)Instructions burned: 131 (million)
% 17.67/2.86 % Exception at run slice level
% 17.67/2.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.67/2.86 % (3670842)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2495391135:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.67/2.86 % (3670843)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=516694748:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.67/2.86 % (3670835)Instruction limit reached!
% 17.67/2.86 % (3670835)------------------------------
% 17.67/2.86 % (3670835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.86 % (3670835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.86 % (3670835)CaDiCaL version: 2.1.3
% 17.67/2.86 % (3670835)Termination reason: Instruction limit
% 17.67/2.86 % (3670835)Termination phase: Saturation
% 17.67/2.86 % (3670835)Time elapsed: 0.082 s
% 17.67/2.86 % (3670835)Peak memory usage: 13 MB
% 17.67/2.86 % (3670835)Instructions burned: 181 (million)
% 17.67/2.86 % (3670846)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=2278361636:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 17.67/2.86 % Exception at run slice level
% 17.67/2.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.67/2.86 % (3670846)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.67/2.86 % (3670836)Instruction limit reached!
% 17.67/2.86 % (3670836)------------------------------
% 17.67/2.86 % (3670836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/2.86 % (3670836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/2.86 % (3670836)CaDiCaL version: 2.1.3
% 17.67/2.86 % (3670836)Termination reason: Instruction limit
% 17.67/2.86 % (3670836)Termination phase: Saturation
% 17.67/2.86 % (3670836)Time elapsed: 0.139 s
% 17.67/2.86 % (3670836)Peak memory usage: 14 MB
% 17.67/2.86 % (3670836)Instructions burned: 477 (million)
% 17.67/2.86 % (3670848)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3863979911:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.67/2.86 % (3670849)fmb+10_1_sil=64000:random_seed=1012960946:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.67/2.86 % (3670848)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.67/2.86 % (3670849)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.67/2.86 % Exception at run slice level
% 17.67/2.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.67/2.86 % (3670852)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3496428984:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.67/2.86 % Exception at run slice level
% 17.67/2.86 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670854)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3773237265:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670856)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3722241846:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 25.95/4.04 % (3670856)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 25.95/4.04 % (3670833)Instruction limit reached!
% 25.95/4.04 % (3670833)------------------------------
% 25.95/4.04 % (3670833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670833)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670833)Termination reason: Instruction limit
% 25.95/4.04 % (3670833)Termination phase: Saturation
% 25.95/4.04 % (3670833)Time elapsed: 0.257 s
% 25.95/4.04 % (3670833)Peak memory usage: 15 MB
% 25.95/4.04 % (3670833)Instructions burned: 686 (million)
% 25.95/4.04 % (3670858)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=651773397:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 25.95/4.04 % (3670858)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 25.95/4.04 % (3670858)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.95/4.04 % (3670846)Instruction limit reached!
% 25.95/4.04 % (3670846)------------------------------
% 25.95/4.04 % (3670846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670846)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670846)Termination reason: Instruction limit
% 25.95/4.04 % (3670846)Termination phase: Saturation
% 25.95/4.04 % (3670846)Time elapsed: 0.369 s
% 25.95/4.04 % (3670846)Peak memory usage: 17 MB
% 25.95/4.04 % (3670846)Instructions burned: 693 (million)
% 25.95/4.04 % (3670860)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2731171063:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670862)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3454055925:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670848)Instruction limit reached!
% 25.95/4.04 % (3670848)------------------------------
% 25.95/4.04 % (3670848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670848)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670848)Termination reason: Instruction limit
% 25.95/4.04 % (3670848)Termination phase: Saturation
% 25.95/4.04 % (3670848)Time elapsed: 0.456 s
% 25.95/4.04 % (3670848)Peak memory usage: 20 MB
% 25.95/4.04 % (3670848)Instructions burned: 879 (million)
% 25.95/4.04 % (3670864)ott-2_1_sil=16000:newcnf=on:random_seed=768970994:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 25.95/4.04 % (3670865)ott+10_1_sil=32000:tgt=ground:random_seed=3818516997:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 25.95/4.04 % (3670864)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 25.95/4.04 % (3670842)Instruction limit reached!
% 25.95/4.04 % (3670842)------------------------------
% 25.95/4.04 % (3670842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670842)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670842)Termination reason: Instruction limit
% 25.95/4.04 % (3670842)Termination phase: Saturation
% 25.95/4.04 % (3670842)Time elapsed: 0.607 s
% 25.95/4.04 % (3670842)Peak memory usage: 21 MB
% 25.95/4.04 % (3670842)Instructions burned: 1180 (million)
% 25.95/4.04 % (3670868)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1413500000:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670870)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3469937679:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 25.95/4.04 % (3670870)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.95/4.04 % (3670858)Instruction limit reached!
% 25.95/4.04 % (3670858)------------------------------
% 25.95/4.04 % (3670858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670858)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670858)Termination reason: Instruction limit
% 25.95/4.04 % (3670858)Termination phase: Saturation
% 25.95/4.04 % (3670858)Time elapsed: 0.734 s
% 25.95/4.04 % (3670858)Peak memory usage: 18 MB
% 25.95/4.04 % (3670858)Instructions burned: 1472 (million)
% 25.95/4.04 % (3670864)Instruction limit reached!
% 25.95/4.04 % (3670864)------------------------------
% 25.95/4.04 % (3670864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670864)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670864)Termination reason: Instruction limit
% 25.95/4.04 % (3670864)Termination phase: Saturation
% 25.95/4.04 % (3670864)Time elapsed: 0.422 s
% 25.95/4.04 % (3670864)Peak memory usage: 16 MB
% 25.95/4.04 % (3670864)Instructions burned: 869 (million)
% 25.95/4.04 % (3670872)dis+21_1_sil=32000:sas=cadical:random_seed=2409225635:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 25.95/4.04 % (3670873)ott+11_1_sil=16000:gs=on:random_seed=742947704:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 25.95/4.04 % (3670873)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.95/4.04 % (3670856)Instruction limit reached!
% 25.95/4.04 % (3670856)------------------------------
% 25.95/4.04 % (3670856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670856)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670856)Termination reason: Instruction limit
% 25.95/4.04 % (3670856)Termination phase: Saturation
% 25.95/4.04 % (3670856)Time elapsed: 1.297 s
% 25.95/4.04 % (3670856)Peak memory usage: 36 MB
% 25.95/4.04 % (3670856)Instructions burned: 5134 (million)
% 25.95/4.04 % (3670876)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3152238482:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670878)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3443416941:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 25.95/4.04 % (3670873)Instruction limit reached!
% 25.95/4.04 % (3670873)------------------------------
% 25.95/4.04 % (3670873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670873)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670873)Termination reason: Instruction limit
% 25.95/4.04 % (3670873)Termination phase: Saturation
% 25.95/4.04 % (3670873)Time elapsed: 1.004 s
% 25.95/4.04 % (3670873)Peak memory usage: 21 MB
% 25.95/4.04 % (3670873)Instructions burned: 2254 (million)
% 25.95/4.04 % (3670880)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2371081364:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 25.95/4.04 % (3670870)Instruction limit reached!
% 25.95/4.04 % (3670870)------------------------------
% 25.95/4.04 % (3670870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670870)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670870)Termination reason: Instruction limit
% 25.95/4.04 % (3670870)Termination phase: Saturation
% 25.95/4.04 % (3670870)Time elapsed: 1.733 s
% 25.95/4.04 % (3670870)Peak memory usage: 29 MB
% 25.95/4.04 % (3670870)Instructions burned: 3514 (million)
% 25.95/4.04 % (3670882)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4037709338:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 25.95/4.04 % (3670878)Instruction limit reached!
% 25.95/4.04 % (3670878)------------------------------
% 25.95/4.04 % (3670878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670878)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670878)Termination reason: Instruction limit
% 25.95/4.04 % (3670878)Termination phase: Saturation
% 25.95/4.04 % (3670878)Time elapsed: 1.126 s
% 25.95/4.04 % (3670878)Peak memory usage: 28 MB
% 25.95/4.04 % (3670878)Instructions burned: 4591 (million)
% 25.95/4.04 % (3670884)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1327822777:i=5497:nm=2_2971 on theBenchmark for (2971ds/5497Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670886)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3000042423:fmbsr=2:i=46332_2971 on theBenchmark for (2971ds/46332Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670888)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=96820036:i=14071_2971 on theBenchmark for (2971ds/14071Mi)
% 25.95/4.04 % Exception at run slice level
% 25.95/4.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 25.95/4.04 % (3670872)Instruction limit reached!
% 25.95/4.04 % (3670872)------------------------------
% 25.95/4.04 % (3670872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670872)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670872)Termination reason: Instruction limit
% 25.95/4.04 % (3670872)Termination phase: Saturation
% 25.95/4.04 % (3670872)Time elapsed: 1.764 s
% 25.95/4.04 % (3670872)Peak memory usage: 28 MB
% 25.95/4.04 % (3670872)Instructions burned: 3774 (million)
% 25.95/4.04 % (3670890)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=78131191:i=22565:add=on:rawr=on_2970 on theBenchmark for (2970ds/22565Mi)
% 25.95/4.04 % (3670891)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1473611610:i=8173:av=off_2970 on theBenchmark for (2970ds/8173Mi)
% 25.95/4.04 % (3670865)Instruction limit reached!
% 25.95/4.04 % (3670865)------------------------------
% 25.95/4.04 % (3670865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670865)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670865)Termination reason: Instruction limit
% 25.95/4.04 % (3670865)Termination phase: Saturation
% 25.95/4.04 % (3670865)Time elapsed: 2.364 s
% 25.95/4.04 % (3670865)Peak memory usage: 27 MB
% 25.95/4.04 % (3670865)Instructions burned: 5115 (million)
% 25.95/4.04 % (3670894)dis+10_16:1_sil=16000:random_seed=3584310399:i=9155:fsr=off_2968 on theBenchmark for (2968ds/9155Mi)
% 25.95/4.04 % (3670891) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3670811-3670891"...
% 25.95/4.04 % (3670891)...printing done.
% 25.95/4.04 % (3670891)Refutation found. Thanks to Tanya!
% 25.95/4.04 % SZS status Theorem for theBenchmark
% 25.95/4.04 % SZS output start Proof for theBenchmark
% 25.95/4.04 thf(type_def_5, type, denotational_interp: $tType).
% 25.95/4.04 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 25.95/4.04 thf(type_def_7, type, variable: $tType).
% 25.95/4.04 thf(type_def_8, type, option: $tType > $tType).
% 25.95/4.04 thf(type_def_9, type, game: $tType).
% 25.95/4.04 thf(type_def_10, type, char: $tType).
% 25.95/4.04 thf(type_def_11, type, trm: $tType).
% 25.95/4.04 thf(type_def_12, type, fml: $tType).
% 25.95/4.04 thf(type_def_13, type, real: $tType).
% 25.95/4.04 thf(type_def_14, type, set: $tType > $tType).
% 25.95/4.04 thf(type_def_15, type, nat: $tType).
% 25.95/4.04 thf(type_def_16, type, sTfun: ($tType * $tType) > $tType).
% 25.95/4.04 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_3, type, uminus: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_4, type, bot: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_6, type, lattice: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_8, type, boolean_algebra: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_9, type, semilattice_inf: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_10, type, semilattice_sup: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_11, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_12, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_13, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_14, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 25.95/4.04 thf(func_def_15, type, statediff: ((variable > real) > (variable > real) > set @ variable)).
% 25.95/4.04 thf(func_def_16, type, stateinterpol: ((variable > real) > (variable > real) > set @ variable > variable > real)).
% 25.95/4.04 thf(func_def_17, type, denota1419872369iation: ((variable > real) > (variable > real) > set @ variable > $o)).
% 25.95/4.04 thf(func_def_18, type, denotational_Vagree: ((variable > real) > (variable > real) > set @ variable > $o)).
% 25.95/4.04 thf(func_def_19, type, denotational_repv: ((variable > real) > variable > real > variable > real)).
% 25.95/4.04 thf(func_def_20, type, denota1778088425es_ODE: (denotational_interp > (real > variable > real) > char > trm > $o)).
% 25.95/4.04 thf(func_def_21, type, denota1863255036rm_sem: (denotational_interp > trm > (variable > real) > real)).
% 25.95/4.04 thf(func_def_22, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 25.95/4.04 thf(func_def_23, type, zero_zero: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_24, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 25.95/4.04 thf(func_def_25, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 25.95/4.04 thf(func_def_26, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 25.95/4.04 thf(func_def_27, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 25.95/4.04 thf(func_def_28, type, none: !>[X0: $tType]:(option @ X0)).
% 25.95/4.04 thf(func_def_29, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 25.95/4.04 thf(func_def_30, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 25.95/4.04 thf(func_def_31, type, set_option: !>[X0: $tType]:((option @ X0 > set @ X0))).
% 25.95/4.04 thf(func_def_32, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 25.95/4.04 thf(func_def_33, type, these: !>[X0: $tType]:((set @ option @ X0 > set @ X0))).
% 25.95/4.04 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_35, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 25.95/4.04 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 25.95/4.04 thf(func_def_37, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 25.95/4.04 thf(func_def_38, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 25.95/4.04 thf(func_def_39, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 25.95/4.04 thf(func_def_40, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_41, type, static_FVT: (trm > set @ variable)).
% 25.95/4.04 thf(func_def_42, type, static_selectlike: (set @ (variable > real) > (variable > real) > set @ variable > set @ (variable > real))).
% 25.95/4.04 thf(func_def_43, type, times: (trm > trm > trm)).
% 25.95/4.04 thf(func_def_44, type, dVar: (char > variable)).
% 25.95/4.04 thf(func_def_45, type, rVar: (char > variable)).
% 25.95/4.04 thf(func_def_46, type, rec_variable: !>[X0: $tType]:(((char > X0) > (char > X0) > variable > X0))).
% 25.95/4.04 thf(func_def_47, type, size_variable: (variable > nat)).
% 25.95/4.04 thf(func_def_48, type, uSubst277968634Timeso: (option @ trm > option @ trm > option @ trm)).
% 25.95/4.04 thf(func_def_49, type, uSubst2091380086djoint: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > denotational_interp > (variable > real) > denotational_interp)).
% 25.95/4.04 thf(func_def_50, type, uSubst95898992stappt: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > option @ trm)).
% 25.95/4.04 thf(func_def_51, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 25.95/4.04 thf(func_def_52, type, f: (real > variable > real)).
% 25.95/4.04 thf(func_def_53, type, i: denotational_interp).
% 25.95/4.04 thf(func_def_54, type, u: set @ variable).
% 25.95/4.04 thf(func_def_55, type, omega: (variable > real)).
% 25.95/4.04 thf(func_def_56, type, sigma: product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)).
% 25.95/4.04 thf(func_def_57, type, theta: trm).
% 25.95/4.04 thf(func_def_58, type, rr: (trm > denotational_interp > trm > denotational_interp > char > (real > variable > real) > variable > real)).
% 25.95/4.04 thf(func_def_59, type, x: char).
% 25.95/4.04 thf(func_def_63, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 25.95/4.04 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 25.95/4.04 thf(func_def_65, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 25.95/4.04 thf(func_def_66, type, vNOT: ($o > $o)).
% 25.95/4.04 thf(func_def_67, type, db0: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_68, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 25.95/4.04 thf(func_def_69, type, vOR: ($o > $o > $o)).
% 25.95/4.04 thf(func_def_70, type, db2: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_71, type, db1: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_72, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 25.95/4.04 thf(func_def_73, type, vIMP: ($o > $o > $o)).
% 25.95/4.04 thf(func_def_74, type, db3: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_75, type, sP0: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 25.95/4.04 thf(func_def_76, type, sP1: (option @ trm > option @ trm > option @ trm > $o)).
% 25.95/4.04 thf(func_def_77, type, sK2: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_78, type, sK3: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 25.95/4.04 thf(func_def_79, type, sK4: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 25.95/4.04 thf(func_def_80, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_81, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 25.95/4.04 thf(func_def_82, type, sK7: (trm > denotational_interp > trm > denotational_interp > char > (real > variable > real) > variable > real)).
% 25.95/4.04 thf(func_def_83, type, sK8: (trm > denotational_interp > trm > denotational_interp > char > (real > variable > real) > variable > real)).
% 25.95/4.04 thf(func_def_84, type, sK9: ((variable > $o) > char)).
% 25.95/4.04 thf(func_def_85, type, sK10: ((variable > $o) > char)).
% 25.95/4.04 thf(func_def_86, type, sK11: (variable > char)).
% 25.95/4.04 thf(func_def_87, type, sK12: (variable > char)).
% 25.95/4.04 thf(func_def_88, type, sK13: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_89, type, sK14: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_90, type, sK15: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_91, type, sK16: !>[X0: $tType]:((option @ X0 > X0))).
% 25.95/4.04 thf(func_def_92, type, sK17: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_93, type, sK18: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 25.95/4.04 thf(func_def_94, type, sK19: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 25.95/4.04 thf(func_def_95, type, sK20: ((char > option @ trm > $o) > char)).
% 25.95/4.04 thf(func_def_96, type, sK21: ((char > option @ trm > $o) > char)).
% 25.95/4.04 thf(func_def_97, type, sK22: ((char > option @ trm > $o) > trm)).
% 25.95/4.04 thf(func_def_98, type, sK23: ((option @ trm > option @ trm > $o) > trm)).
% 25.95/4.04 thf(func_def_99, type, sK24: ((option @ trm > option @ trm > $o) > option @ trm)).
% 25.95/4.04 thf(func_def_100, type, sK25: ((option @ trm > option @ trm > $o) > trm)).
% 25.95/4.04 thf(func_def_101, type, sK26: ((option @ trm > option @ trm > $o) > trm)).
% 25.95/4.04 thf(func_def_102, type, sK27: ((variable > option @ trm > $o) > variable)).
% 25.95/4.04 thf(func_def_103, type, sK28: ((variable > option @ trm > $o) > variable)).
% 25.95/4.04 thf(func_def_104, type, sK29: ((variable > option @ trm > $o) > trm)).
% 25.95/4.04 thf(func_def_105, type, sK30: (option @ trm > trm)).
% 25.95/4.04 thf(func_def_106, type, sK31: ((option @ trm > $o) > trm)).
% 25.95/4.04 thf(func_def_107, type, sK32: !>[X0: $tType]:(((X0 > $o) > option @ X0 > X0))).
% 25.95/4.04 thf(func_def_108, type, sK33: (set @ (variable > real) > set @ (variable > real) > set @ variable > (variable > real) > variable > real)).
% 25.95/4.04 thf(func_def_109, type, sK34: (set @ (variable > real) > set @ (variable > real) > set @ variable > (variable > real) > variable > real)).
% 25.95/4.04 thf(func_def_110, type, sK35: (option @ trm > option @ trm > option @ trm > trm)).
% 25.95/4.04 thf(func_def_111, type, sK36: (option @ trm > option @ trm > option @ trm > trm)).
% 25.95/4.04 thf(func_def_112, type, sK37: (option @ trm > trm)).
% 25.95/4.04 thf(func_def_113, type, sK38: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 25.95/4.04 thf(func_def_114, type, sK39: variable).
% 25.95/4.04 thf(func_def_115, type, sK40: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_116, type, sK41: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_117, type, sK42: ((variable > real) > (variable > real) > trm > variable)).
% 25.95/4.04 thf(func_def_118, type, sK43: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_119, type, sK44: (set @ (variable > real) > (variable > real) > set @ (variable > real) > set @ variable > variable > real)).
% 25.95/4.04 thf(func_def_120, type, sK45: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_121, type, sK46: (set @ (variable > real) > (variable > real) > set @ (variable > real) > set @ variable > variable > real)).
% 25.95/4.04 thf(func_def_122, type, sK47: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_123, type, sK48: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_124, type, sK49: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_125, type, sK50: (set @ variable > (variable > real) > (variable > real) > variable)).
% 25.95/4.04 thf(func_def_126, type, sK51: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_127, type, sK52: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_128, type, sK53: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_129, type, sK54: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_130, type, sK55: (set @ variable > (variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_131, type, sK56: (set @ variable > (variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_132, type, sK57: (set @ variable > (variable > real) > (variable > real) > variable)).
% 25.95/4.04 thf(func_def_133, type, sK58: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_134, type, sK59: (variable > (variable > real) > real > variable)).
% 25.95/4.04 thf(func_def_135, type, sK60: (option @ trm > trm)).
% 25.95/4.04 thf(func_def_136, type, sK61: !>[X0: $tType]:((option @ X0 > X0))).
% 25.95/4.04 thf(func_def_137, type, sK62: !>[X0: $tType]:((option @ X0 > X0))).
% 25.95/4.04 thf(func_def_138, type, sK63: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_139, type, sK64: ((variable > real) > variable)).
% 25.95/4.04 thf(func_def_140, type, sK65: !>[X0: $tType]:((X0 > set @ X0 > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_141, type, sK66: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_142, type, sK67: ((variable > real) > char > (real > variable > real) > variable)).
% 25.95/4.04 thf(func_def_143, type, sK68: ((variable > real) > char > (real > variable > real) > variable)).
% 25.95/4.04 thf(func_def_144, type, sK69: (denotational_interp > denotational_interp > (real > variable > real) > trm > char > trm > variable > real)).
% 25.95/4.04 thf(func_def_145, type, sK70: (denotational_interp > (real > variable > real) > denotational_interp > trm > char > trm > variable)).
% 25.95/4.04 thf(func_def_146, type, sK71: (denotational_interp > (real > variable > real) > denotational_interp > trm > char > trm > variable)).
% 25.95/4.04 thf(func_def_147, type, sK72: ((variable > real) > set @ variable > (real > variable > real) > variable)).
% 25.95/4.04 thf(func_def_148, type, sK73: (char > (variable > real) > (real > variable > real) > variable)).
% 25.95/4.04 thf(func_def_149, type, sK74: (char > (variable > real) > (real > variable > real) > variable)).
% 25.95/4.04 thf(func_def_150, type, sK75: (trm > trm > (real > variable > real) > denotational_interp > denotational_interp > char > variable > real)).
% 25.95/4.04 thf(func_def_151, type, sK76: (trm > char > (real > variable > real) > denotational_interp > trm > denotational_interp > variable)).
% 25.95/4.04 thf(func_def_152, type, sK77: (trm > char > (real > variable > real) > denotational_interp > trm > denotational_interp > variable)).
% 25.95/4.04 thf(func_def_153, type, sK78: ((variable > real) > (variable > real) > set @ variable > variable)).
% 25.95/4.04 thf(func_def_154, type, sK79: ((variable > real) > set @ variable > (variable > real) > variable)).
% 25.95/4.04 thf(func_def_155, type, sK80: ((variable > real) > set @ variable > (variable > real) > variable)).
% 25.95/4.04 thf(func_def_156, type, sK81: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_157, type, sK82: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_158, type, sK83: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 25.95/4.04 thf(func_def_159, type, sK84: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 25.95/4.04 thf(func_def_160, type, sK85: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_161, type, sK86: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_162, type, sK87: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 25.95/4.04 thf(func_def_163, type, sK88: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_164, type, sK89: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_165, type, sK90: !>[X0: $tType]:(((X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_166, type, sK91: !>[X0: $tType]:(((X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_167, type, sK92: ((variable > real) > (variable > real) > variable)).
% 25.95/4.04 thf(func_def_168, type, sK93: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 25.95/4.04 thf(func_def_169, type, sK94: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_170, type, sK95: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 25.95/4.04 thf(func_def_171, type, sK96: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 25.95/4.04 thf(func_def_172, type, sK97: !>[X0: $tType]:((set @ X0 > X0))).
% 25.95/4.04 thf(func_def_173, type, db4: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_174, type, db6: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(func_def_175, type, db5: !>[X0: $tType]:(X0)).
% 25.95/4.04 thf(f1,axiom,(
% 25.95/4.04 (denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_uv)).
% 25.95/4.04 thf(f3,axiom,(
% 25.95/4.04 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : (((sup_sup @ set @ X0 @ (insert @ X0 @ X1 @ X2) @ X3)) = ((insert @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_Un__insert__left)).
% 25.95/4.04 thf(f4,axiom,(
% 25.95/4.04 ! [X0 : $tType,X1 : set @ X0,X2 : X0,X3 : set @ X0] : (((sup_sup @ set @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) = ((insert @ X0 @ X2 @ (sup_sup @ set @ X0 @ X1 @ X3))))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_Un__insert__right)).
% 25.95/4.04 thf(f35,axiom,(
% 25.95/4.04 ! [X0 : $tType,X1 : X0,X2 : X0,X3 : set @ X0] : (((insert @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) = ((insert @ X0 @ X2 @ (insert @ X0 @ X1 @ X3))))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_insert__commute)).
% 25.95/4.04 thf(f60,axiom,(
% 25.95/4.04 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : set @ X0] : (((sup_sup @ set @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X1 @ X3))))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_Un__left__commute)).
% 25.95/4.04 thf(f73,axiom,(
% 25.95/4.04 (denota1419872369iation = (^[X0 : (variable > real), X1 : (variable > real), X2 : set @ variable] : (! [X3 : variable] : (~(member @ variable @ X3 @ X2) => (((X0 @ X3)) = ((X1 @ X3)))))))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_Uvariation__def)).
% 25.95/4.04 thf(f79,axiom,(
% 25.95/4.04 ! [X0 : $tType,X1 : set @ X0] : (((sup_sup @ set @ X0 @ X1 @ bot_bot @ set @ X0)) = X1)),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_Un__empty__right)).
% 25.95/4.04 thf(f90,axiom,(
% 25.95/4.04 ! [X0 : char,X1 : char] : ((((dVar @ X0)) = ((dVar @ X1))) = (X0 = X1))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_variable_Oinject_I2_J)).
% 25.95/4.04 thf(f166,axiom,(
% 25.95/4.04 ! [X0 : $tType,X1 : X0] : (((set_option @ X0 @ (some @ X0 @ X1))) = ((insert @ X0 @ X1 @ bot_bot @ set @ X0)))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_option_Osimps_I15_J)).
% 25.95/4.04 thf(f302,conjecture,(
% 25.95/4.04 (denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))),
% 25.95/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 25.95/4.04 thf(f303,negated_conjecture,(
% 25.95/4.04 ~(denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))),
% 25.95/4.04 inference(negated_conjecture,[status(cth)],[f302])).
% 25.95/4.04 thf(f304,plain,(
% 25.95/4.04 (denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))),
% 25.95/4.04 inference(rectify,[],[f1])).
% 25.95/4.04 thf(f305,plain,(
% 25.95/4.04 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) = $true)),
% 25.95/4.04 inference(fool_elimination,[],[f304])).
% 25.95/4.04 thf(f420,plain,(
% 25.95/4.04 (denota1419872369iation = (^[X0 : (variable > real), X1 : (variable > real), X2 : set @ variable] : (! [X3 : variable] : (~(member @ variable @ X3 @ X2) => (((X0 @ X3)) = ((X1 @ X3)))))))),
% 25.95/4.04 inference(rectify,[],[f73])).
% 25.95/4.04 thf(f421,plain,(
% 25.95/4.04 (denota1419872369iation = (^[Y0 : variable > real]: ((^[Y1 : variable > real]: ((^[Y2 : set @ variable]: (!! @ variable @ (^[Y3 : variable]: ((~ (member @ variable @ Y3 @ Y2)) => ((Y0 @ Y3) = (Y1 @ Y3)))))))))))),
% 25.95/4.04 inference(fool_elimination,[],[f420])).
% 25.95/4.04 thf(f440,plain,(
% 25.95/4.04 ! [X0 : char,X1 : char] : (((X0 = X1)) = (((dVar @ X0) = (dVar @ X1))))),
% 25.95/4.04 inference(fool_elimination,[],[f90])).
% 25.95/4.04 thf(f747,plain,(
% 25.95/4.04 ~(denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))),
% 25.95/4.04 inference(rectify,[],[f303])).
% 25.95/4.04 thf(f748,plain,(
% 25.95/4.04 ~ (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) = $true)),
% 25.95/4.04 inference(fool_elimination,[],[f747])).
% 25.95/4.04 thf(f764,plain,(
% 25.95/4.04 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) != $true)),
% 25.95/4.04 inference(flattening,[],[f748])).
% 25.95/4.04 thf(f968,plain,(
% 25.95/4.04 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) = $true)),
% 25.95/4.04 inference(cnf_transformation,[],[f305])).
% 25.95/4.04 thf(f970,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : X0] : ((((sup_sup @ set @ X0 @ (insert @ X0 @ X1 @ X2) @ X3)) = ((insert @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))))) )),
% 25.95/4.04 inference(cnf_transformation,[],[f3])).
% 25.95/4.04 thf(f971,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X2 : X0,X3 : set @ X0,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) = ((insert @ X0 @ X2 @ (sup_sup @ set @ X0 @ X1 @ X3))))) )),
% 25.95/4.04 inference(cnf_transformation,[],[f4])).
% 25.95/4.04 thf(f1005,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X2 : X0,X3 : set @ X0,X1 : X0] : ((((insert @ X0 @ X1 @ (insert @ X0 @ X2 @ X3))) = ((insert @ X0 @ X2 @ (insert @ X0 @ X1 @ X3))))) )),
% 25.95/4.04 inference(cnf_transformation,[],[f35])).
% 25.95/4.04 thf(f1031,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ X1 @ (sup_sup @ set @ X0 @ X2 @ X3))) = ((sup_sup @ set @ X0 @ X2 @ (sup_sup @ set @ X0 @ X1 @ X3))))) )),
% 25.95/4.04 inference(cnf_transformation,[],[f60])).
% 25.95/4.04 thf(f1044,plain,(
% 25.95/4.04 (denota1419872369iation = (^[Y0 : variable > real]: ((^[Y1 : variable > real]: ((^[Y2 : set @ variable]: (!! @ variable @ (^[Y3 : variable]: ((~ (member @ variable @ Y3 @ Y2)) => ((Y0 @ Y3) = (Y1 @ Y3)))))))))))),
% 25.95/4.04 inference(cnf_transformation,[],[f421])).
% 25.95/4.04 thf(f1050,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X1 : set @ X0] : ((((sup_sup @ set @ X0 @ X1 @ bot_bot @ set @ X0)) = X1)) )),
% 25.95/4.04 inference(cnf_transformation,[],[f79])).
% 25.95/4.04 thf(f1061,plain,(
% 25.95/4.04 ( ! [X0 : char,X1 : char] : ((((X0 = X1)) = (((dVar @ X0) = (dVar @ X1))))) )),
% 25.95/4.04 inference(cnf_transformation,[],[f440])).
% 25.95/4.04 thf(f1149,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X1 : X0] : ((((insert @ X0 @ X1 @ bot_bot @ set @ X0)) = ((set_option @ X0 @ (some @ X0 @ X1))))) )),
% 25.95/4.04 inference(cnf_transformation,[],[f166])).
% 25.95/4.04 thf(f1298,plain,(
% 25.95/4.04 (((denota1419872369iation @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) != $true)),
% 25.95/4.04 inference(cnf_transformation,[],[f764])).
% 25.95/4.04 thf(f1301,plain,(
% 25.95/4.04 ($true = (((^[Y0 : variable > real]: ((^[Y1 : variable > real]: ((^[Y2 : set @ variable]: (!! @ variable @ (^[Y3 : variable]: ((~ (member @ variable @ Y3 @ Y2)) => ((Y0 @ Y3) = (Y1 @ Y3)))))))))) @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))))),
% 25.95/4.04 inference(definition_unfolding,[],[f968,f1044])).
% 25.95/4.04 thf(f1358,plain,(
% 25.95/4.04 ($true != (((^[Y0 : variable > real]: ((^[Y1 : variable > real]: ((^[Y2 : set @ variable]: (!! @ variable @ (^[Y3 : variable]: ((~ (member @ variable @ Y3 @ Y2)) => ((Y0 @ Y3) = (Y1 @ Y3)))))))))) @ (f @ zero_zero @ real) @ omega @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))))),
% 25.95/4.04 inference(definition_unfolding,[],[f1298,f1044])).
% 25.95/4.04 thf(f1374,plain,(
% 25.95/4.04 ($true != ((!! @ variable @ (^[Y0 : variable]: ((~ (member @ variable @ Y0 @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) => ((f @ zero_zero @ real @ Y0) = (omega @ Y0)))))))),
% 25.95/4.04 inference(beta-eta_normalization,[],[f1358])).
% 25.95/4.04 thf(f1375,plain,(
% 25.95/4.04 ($false = (((^[Y0 : variable]: ((~ (member @ variable @ Y0 @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) => ((f @ zero_zero @ real @ Y0) = (omega @ Y0)))) @ sK39)))),
% 25.95/4.04 inference(sigma_proxy_clausification,[],[f1374])).
% 25.95/4.04 thf(f1376,plain,(
% 25.95/4.04 ($false = (((~ (member @ variable @ sK39 @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))) => ((f @ zero_zero @ real @ sK39) = (omega @ sK39)))))),
% 25.95/4.04 inference(beta-eta_normalization,[],[f1375])).
% 25.95/4.04 thf(f1377,plain,(
% 25.95/4.04 ($false = (((f @ zero_zero @ real @ sK39) = (omega @ sK39))))),
% 25.95/4.04 inference(imp_proxy_clausification,[],[f1376])).
% 25.95/4.04 thf(f1378,plain,(
% 25.95/4.04 ($true = ((~ (member @ variable @ sK39 @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u)))))),
% 25.95/4.04 inference(imp_proxy_clausification,[],[f1376])).
% 25.95/4.04 thf(f1379,plain,(
% 25.95/4.04 ($false = ((member @ variable @ sK39 @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)) @ u))))),
% 25.95/4.04 inference(not_proxy_clausification,[],[f1378])).
% 25.95/4.04 thf(f1380,plain,(
% 25.95/4.04 (((f @ zero_zero @ real @ sK39)) != ((omega @ sK39)))),
% 25.95/4.04 inference(equality_proxy_clausification,[],[f1377])).
% 25.95/4.04 thf(f2082,plain,(
% 25.95/4.04 ( ! [X0 : char,X1 : char] : ((((X0 = X1)) = $false) | ($true = (((dVar @ X0) = (dVar @ X1))))) )),
% 25.95/4.04 inference(iff_proxy_clausification,[],[f1061])).
% 25.95/4.04 thf(f2083,plain,(
% 25.95/4.04 ( ! [X0 : char,X1 : char] : ((X0 != X1) | ($true = (((dVar @ X0) = (dVar @ X1))))) )),
% 25.95/4.04 inference(equality_proxy_clausification,[],[f2082])).
% 25.95/4.04 thf(f2084,plain,(
% 25.95/4.04 ( ! [X0 : char,X1 : char] : ((((dVar @ X0)) = ((dVar @ X1))) | (X0 != X1)) )),
% 25.95/4.04 inference(equality_proxy_clausification,[],[f2083])).
% 25.95/4.04 thf(f2637,plain,(
% 25.95/4.04 ($true = ((!! @ variable @ (^[Y0 : variable]: ((~ (member @ variable @ Y0 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) => ((f @ zero_zero @ real @ Y0) = (omega @ Y0)))))))),
% 25.95/4.04 inference(beta-eta_normalization,[],[f1301])).
% 25.95/4.04 thf(f2638,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($true = (((^[Y0 : variable]: ((~ (member @ variable @ Y0 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) => ((f @ zero_zero @ real @ Y0) = (omega @ Y0)))) @ X1)))) )),
% 25.95/4.04 inference(pi_proxy_clausification,[],[f2637])).
% 25.95/4.04 thf(f2639,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($true = (((~ (member @ variable @ X1 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))) => ((f @ zero_zero @ real @ X1) = (omega @ X1)))))) )),
% 25.95/4.04 inference(beta-eta_normalization,[],[f2638])).
% 25.95/4.04 thf(f2640,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($false = ((~ (member @ variable @ X1 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable))))))) | ($true = (((f @ zero_zero @ real @ X1) = (omega @ X1))))) )),
% 25.95/4.04 inference(imp_proxy_clausification,[],[f2639])).
% 25.95/4.04 thf(f2641,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($true = ((member @ variable @ X1 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)))))) | ($true = (((f @ zero_zero @ real @ X1) = (omega @ X1))))) )),
% 25.95/4.04 inference(not_proxy_clausification,[],[f2640])).
% 25.95/4.04 thf(f2642,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($true = ((member @ variable @ X1 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (insert @ variable @ (dVar @ x) @ bot_bot @ set @ variable)))))) | (((f @ zero_zero @ real @ X1)) = ((omega @ X1)))) )),
% 25.95/4.04 inference(equality_proxy_clausification,[],[f2641])).
% 25.95/4.04 thf(f2721,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($true = ((member @ variable @ X1 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (dVar @ x) @ (insert @ variable @ (rVar @ x) @ bot_bot @ set @ variable)))))) | (((f @ zero_zero @ real @ X1)) = ((omega @ X1)))) )),
% 25.95/4.04 inference(forward_demodulation,[],[f2642,f1005])).
% 25.95/4.04 thf(f2761,plain,(
% 25.95/4.04 ( ! [X1 : variable] : (($true = ((member @ variable @ X1 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (dVar @ x) @ (set_option @ variable @ (some @ variable @ (rVar @ x)))))))) | (((f @ zero_zero @ real @ X1)) = ((omega @ X1)))) )),
% 25.95/4.04 inference(forward_demodulation,[],[f2721,f1149])).
% 25.95/4.04 thf(f3302,plain,(
% 25.95/4.04 ($false = ((member @ variable @ sK39 @ (sup_sup @ set @ variable @ (insert @ variable @ (rVar @ x) @ (set_option @ variable @ (some @ variable @ (dVar @ x)))) @ u))))),
% 25.95/4.04 inference(constrained_superposition,[],[f1379,f1149])).
% 25.95/4.04 thf(f3303,plain,(
% 25.95/4.04 ($false = ((member @ variable @ sK39 @ (insert @ variable @ (rVar @ x) @ (sup_sup @ set @ variable @ (set_option @ variable @ (some @ variable @ (dVar @ x))) @ u)))))),
% 25.95/4.04 inference(forward_demodulation,[],[f3302,f970])).
% 25.95/4.04 thf(f7111,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((insert @ X0 @ X1 @ (insert @ X0 @ X2 @ bot_bot @ set @ X0))) = ((insert @ X0 @ X2 @ (set_option @ X0 @ (some @ X0 @ X1)))))) )),
% 25.95/4.04 inference(constrained_superposition,[],[f1005,f1149])).
% 25.95/4.04 thf(f7131,plain,(
% 25.95/4.04 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((insert @ X0 @ X1 @ (set_option @ X0 @ (some @ X0 @ X2)))) = ((insert @ X0 @ X2 @ (set_option @ X0 @ (some @ X0 @ X1)))))) )),
% 25.95/4.04 inference(forward_demodulation,[],[f7111,f1149])).
% 25.95/4.04 thf(f9123,plain,(
% 25.95/4.04 ( ! [X1 : $tType,X2 : set @ X1,X0 : set @ X1] : ((((sup_sup @ set @ X1 @ X2 @ X0)) = ((sup_sup @ set @ X1 @ X0 @ (sup_sup @ set @ X1 @ X2 @ bot_bot @ set @ X1))))) )),
% 25.95/4.04 inference(constrained_superposition,[],[f1031,f1050])).
% 25.95/4.04 thf(f9160,plain,(
% 25.95/4.04 ( ! [X1 : $tType,X2 : set @ X1,X0 : set @ X1] : ((((sup_sup @ set @ X1 @ X2 @ X0)) = ((sup_sup @ set @ X1 @ X0 @ X2)))) )),
% 25.95/4.04 inference(forward_demodulation,[],[f9123,f1050])).
% 25.95/4.04 thf(f12033,plain,(
% 25.95/4.04 ( ! [X0 : char] : (($false = ((member @ variable @ sK39 @ (insert @ variable @ (rVar @ x) @ (sup_sup @ set @ variable @ (set_option @ variable @ (some @ variable @ (dVar @ X0))) @ u))))) | (x != X0)) )),
% 25.95/4.04 inference(constrained_superposition,[],[f3303,f2084])).
% 25.95/4.04 thf(f12049,plain,(
% 25.95/4.04 ( ! [X0 : char] : (($false = ((member @ variable @ sK39 @ (insert @ variable @ (rVar @ x) @ (sup_sup @ set @ variable @ u @ (set_option @ variable @ (some @ variable @ (dVar @ X0)))))))) | (x != X0)) )),
% 25.95/4.04 inference(forward_demodulation,[],[f12033,f9160])).
% 25.95/4.04 thf(f12056,plain,(
% 25.95/4.04 ( ! [X0 : char] : ((x != X0) | ($false = ((member @ variable @ sK39 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (set_option @ variable @ (some @ variable @ (dVar @ X0))))))))) )),
% 25.95/4.04 inference(forward_demodulation,[],[f12049,f971])).
% 25.95/4.04 thf(f12295,plain,(
% 25.95/4.04 ($false = ((member @ variable @ sK39 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (rVar @ x) @ (set_option @ variable @ (some @ variable @ (dVar @ x))))))))),
% 25.95/4.04 inference(equality_resolution,[],[f12056])).
% 25.95/4.04 thf(f12296,plain,(
% 25.95/4.04 ($false = ((member @ variable @ sK39 @ (sup_sup @ set @ variable @ u @ (insert @ variable @ (dVar @ x) @ (set_option @ variable @ (some @ variable @ (rVar @ x))))))))),
% 25.95/4.04 inference(forward_demodulation,[],[f12295,f7131])).
% 25.95/4.04 thf(f12354,plain,(
% 25.95/4.04 ($true = $false) | (((f @ zero_zero @ real @ sK39)) = ((omega @ sK39)))),
% 25.95/4.04 inference(constrained_superposition,[],[f2761,f12296])).
% 25.95/4.04 thf(f12363,plain,(
% 25.95/4.04 (((f @ zero_zero @ real @ sK39)) = ((omega @ sK39)))),
% 25.95/4.04 inference(trivial_inequality_removal,[],[f12354])).
% 25.95/4.04 thf(f12375,plain,(
% 25.95/4.04 $false),
% 25.95/4.04 inference(forward_subsumption_resolution,[],[f12363,f1380])).
% 25.95/4.04 % SZS output end Proof for theBenchmark
% 25.95/4.04 % (3670891)------------------------------
% 25.95/4.04 % (3670891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.95/4.04 % (3670891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.95/4.04 % (3670891)CaDiCaL version: 2.1.3
% 25.95/4.04 % (3670891)Termination reason: Refutation
% 25.95/4.04 % (3670891)Time elapsed: 0.855 s
% 25.95/4.04 % (3670891)Peak memory usage: 27 MB
% 25.95/4.04 % (3670891)Instructions burned: 1695 (million)
% 25.95/4.04 % (3670811)Success in time 3.805 s
% 25.95/4.04 % Vampire exiting
%------------------------------------------------------------------------------