%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP144^2 : 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 : n017.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 08:10:52 AM UTC 2026
% Result : Theorem 49.50s 7.39s
% Output : Refutation 49.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP144^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.25 % Computer : n017.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Tue Sep 29 19:55:52 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 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
% 7.94/1.71 % (821052)Will run a generic schedule for satisfiability detection.
% 7.94/1.71 % (821061)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2911547318:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.94/1.71 % (821058)% WARNING: option uhcvi not known.
% 7.94/1.71 % (821059)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=161902515:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.94/1.71 % (821060)dis+10_1_sil=32000:sp=arity:random_seed=2128839449:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.94/1.71 % (821057)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1899797274_2999 on theBenchmark for (2999ds/0Mi)
% 7.94/1.71 % (821058)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4043569103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.94/1.71 % (821063)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=268329624:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.94/1.71 % (821062)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3980374137:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.94/1.71 % (821061)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.94/1.71 % (821058)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.94/1.71 % (821061)Instruction limit reached!
% 7.94/1.71 % (821061)------------------------------
% 7.94/1.71 % (821061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.71 % (821061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.71 % (821061)CaDiCaL version: 2.1.3
% 7.94/1.71 % (821061)Termination reason: Instruction limit
% 7.94/1.71 % (821061)Termination phase: Saturation
% 7.94/1.71 % (821061)Time elapsed: 0.051 s
% 7.94/1.71 % (821061)Peak memory usage: 12 MB
% 7.94/1.71 % (821061)Instructions burned: 118 (million)
% 7.94/1.71 % (821071)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=753170880:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.94/1.71 % Exception at run slice level
% 7.94/1.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.94/1.71 % (821058)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.94/1.71 % (821060)Instruction limit reached!
% 7.94/1.71 % (821060)------------------------------
% 7.94/1.71 % (821060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.71 % (821060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.71 % (821060)CaDiCaL version: 2.1.3
% 7.94/1.71 % (821060)Termination reason: Instruction limit
% 7.94/1.71 % (821060)Termination phase: Saturation
% 7.94/1.71 % (821060)Time elapsed: 0.083 s
% 7.94/1.71 % (821060)Peak memory usage: 12 MB
% 7.94/1.71 % (821060)Instructions burned: 103 (million)
% 7.94/1.71 % Exception at run slice level
% 7.94/1.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.94/1.71 % (821073)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3458030386:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.94/1.71 % (821062)Instruction limit reached!
% 7.94/1.71 % (821062)------------------------------
% 7.94/1.71 % (821062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.71 % (821062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/1.71 % (821062)CaDiCaL version: 2.1.3
% 7.94/1.71 % (821062)Termination reason: Instruction limit
% 7.94/1.71 % (821062)Termination phase: Saturation
% 7.94/1.71 % (821062)Time elapsed: 0.108 s
% 7.94/1.71 % (821062)Peak memory usage: 13 MB
% 7.94/1.71 % (821062)Instructions burned: 131 (million)
% 7.94/1.71 % (821075)ott-21_1_sil=16000:fs=off:random_seed=3348921377:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.94/1.71 % (821074)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=3695100599:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.94/1.71 % (821063)Instruction limit reached!
% 7.94/1.71 % (821063)------------------------------
% 7.94/1.71 % (821063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/1.71 % (821063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.46 % (821063)CaDiCaL version: 2.1.3
% 35.95/5.46 % (821063)Termination reason: Instruction limit
% 35.95/5.46 % (821063)Termination phase: Saturation
% 35.95/5.46 % (821063)Time elapsed: 0.128 s
% 35.95/5.46 % (821063)Peak memory usage: 14 MB
% 35.95/5.46 % (821063)Instructions burned: 161 (million)
% 35.95/5.46 % (821077)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=27418581:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 35.95/5.46 % (821074)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.95/5.46 % (821080)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3232611512:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.95/5.46 % (821074)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.95/5.46 % (821075)Instruction limit reached!
% 35.95/5.46 % (821075)------------------------------
% 35.95/5.46 % (821075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.46 % (821075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.46 % (821075)CaDiCaL version: 2.1.3
% 35.95/5.46 % (821075)Termination reason: Instruction limit
% 35.95/5.46 % (821075)Termination phase: Saturation
% 35.95/5.46 % (821075)Time elapsed: 0.081 s
% 35.95/5.46 % (821075)Peak memory usage: 13 MB
% 35.95/5.46 % (821075)Instructions burned: 182 (million)
% 35.95/5.46 % (821083)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2711787760:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 35.95/5.46 % (821073)Instruction limit reached!
% 35.95/5.46 % (821073)------------------------------
% 35.95/5.46 % (821073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.46 % (821073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.46 % (821073)CaDiCaL version: 2.1.3
% 35.95/5.46 % (821073)Termination reason: Instruction limit
% 35.95/5.46 % (821073)Termination phase: Saturation
% 35.95/5.46 % (821073)Time elapsed: 0.113 s
% 35.95/5.46 % (821073)Peak memory usage: 13 MB
% 35.95/5.46 % (821073)Instructions burned: 131 (million)
% 35.95/5.46 % Exception at run slice level
% 35.95/5.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.95/5.46 % (821085)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3540545723:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 35.95/5.47 % (821086)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=3855460638:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 35.95/5.47 % (821086)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.95/5.47 % Exception at run slice level
% 35.95/5.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.95/5.47 % (821089)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=21710743:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 35.95/5.47 % (821089)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.95/5.47 % (821077)Instruction limit reached!
% 35.95/5.47 % (821077)------------------------------
% 35.95/5.47 % (821077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.47 % (821077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.47 % (821077)CaDiCaL version: 2.1.3
% 35.95/5.47 % (821077)Termination reason: Instruction limit
% 35.95/5.47 % (821077)Termination phase: Saturation
% 35.95/5.47 % (821077)Time elapsed: 0.438 s
% 35.95/5.47 % (821077)Peak memory usage: 15 MB
% 35.95/5.47 % (821077)Instructions burned: 477 (million)
% 35.95/5.47 % (821091)fmb+10_1_sil=64000:random_seed=2579445395:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 35.95/5.47 % (821074)Instruction limit reached!
% 35.95/5.47 % (821074)------------------------------
% 35.95/5.47 % (821074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.47 % (821074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.47 % (821074)CaDiCaL version: 2.1.3
% 35.95/5.47 % (821074)Termination reason: Instruction limit
% 35.95/5.47 % (821074)Termination phase: Saturation
% 35.95/5.47 % (821074)Time elapsed: 0.580 s
% 35.95/5.47 % (821074)Peak memory usage: 16 MB
% 35.95/5.47 % (821074)Instructions burned: 684 (million)
% 35.95/5.47 % (821091)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821093)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2540285003:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 49.50/7.39 % (821094)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1459902619:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 49.50/7.39 % (821083)Instruction limit reached!
% 49.50/7.39 % (821083)------------------------------
% 49.50/7.39 % (821083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821083)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821083)Termination reason: Instruction limit
% 49.50/7.39 % (821083)Termination phase: Saturation
% 49.50/7.39 % (821083)Time elapsed: 0.557 s
% 49.50/7.39 % (821083)Peak memory usage: 20 MB
% 49.50/7.39 % (821083)Instructions burned: 1181 (million)
% 49.50/7.39 % (821097)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1734812975:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 49.50/7.39 % (821097)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821099)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3596209656:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 49.50/7.39 % (821100)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4011099525:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 49.50/7.39 % (821086)Instruction limit reached!
% 49.50/7.39 % (821086)------------------------------
% 49.50/7.39 % (821086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821086)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821086)Termination reason: Instruction limit
% 49.50/7.39 % (821086)Termination phase: Saturation
% 49.50/7.39 % (821086)Time elapsed: 0.619 s
% 49.50/7.39 % (821086)Peak memory usage: 18 MB
% 49.50/7.39 % (821086)Instructions burned: 692 (million)
% 49.50/7.39 % (821099)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 49.50/7.39 % (821099)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 49.50/7.39 % (821103)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2850656721:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821105)ott-2_1_sil=16000:newcnf=on:random_seed=179640287:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821105)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 49.50/7.39 % (821107)ott+10_1_sil=32000:tgt=ground:random_seed=3228672768:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 49.50/7.39 % (821089)Instruction limit reached!
% 49.50/7.39 % (821089)------------------------------
% 49.50/7.39 % (821089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821089)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821089)Termination reason: Instruction limit
% 49.50/7.39 % (821089)Termination phase: Saturation
% 49.50/7.39 % (821089)Time elapsed: 0.797 s
% 49.50/7.39 % (821089)Peak memory usage: 20 MB
% 49.50/7.39 % (821089)Instructions burned: 880 (million)
% 49.50/7.39 % (821110)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1416907007:i=54282_2987 on theBenchmark for (2987ds/54282Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821112)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1469769599:i=3512:aac=none_2986 on theBenchmark for (2986ds/3512Mi)
% 49.50/7.39 % (821112)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 49.50/7.39 % (821105)Instruction limit reached!
% 49.50/7.39 % (821105)------------------------------
% 49.50/7.39 % (821105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821105)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821105)Termination reason: Instruction limit
% 49.50/7.39 % (821105)Termination phase: Saturation
% 49.50/7.39 % (821105)Time elapsed: 0.739 s
% 49.50/7.39 % (821105)Peak memory usage: 17 MB
% 49.50/7.39 % (821105)Instructions burned: 870 (million)
% 49.50/7.39 % (821114)dis+21_1_sil=32000:sas=cadical:random_seed=1987172893:i=3773:amm=off_2982 on theBenchmark for (2982ds/3773Mi)
% 49.50/7.39 % (821099)Instruction limit reached!
% 49.50/7.39 % (821099)------------------------------
% 49.50/7.39 % (821099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821099)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821099)Termination reason: Instruction limit
% 49.50/7.39 % (821099)Termination phase: Saturation
% 49.50/7.39 % (821099)Time elapsed: 1.310 s
% 49.50/7.39 % (821099)Peak memory usage: 19 MB
% 49.50/7.39 % (821099)Instructions burned: 1472 (million)
% 49.50/7.39 % (821116)ott+11_1_sil=16000:gs=on:random_seed=3923170349:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2977 on theBenchmark for (2977ds/2251Mi)
% 49.50/7.39 % (821116)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 49.50/7.39 % (821097)Instruction limit reached!
% 49.50/7.39 % (821097)------------------------------
% 49.50/7.39 % (821097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821097)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821097)Termination reason: Instruction limit
% 49.50/7.39 % (821097)Termination phase: Saturation
% 49.50/7.39 % (821097)Time elapsed: 2.293 s
% 49.50/7.39 % (821097)Peak memory usage: 31 MB
% 49.50/7.39 % (821097)Instructions burned: 5131 (million)
% 49.50/7.39 % (821118)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2152175755:fmbsr=1.6:i=67534_2968 on theBenchmark for (2968ds/67534Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821120)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1514966382:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2967 on theBenchmark for (2967ds/4591Mi)
% 49.50/7.39 % (821116)Instruction limit reached!
% 49.50/7.39 % (821116)------------------------------
% 49.50/7.39 % (821116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821116)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821116)Termination reason: Instruction limit
% 49.50/7.39 % (821116)Termination phase: Saturation
% 49.50/7.39 % (821116)Time elapsed: 1.875 s
% 49.50/7.39 % (821116)Peak memory usage: 19 MB
% 49.50/7.39 % (821116)Instructions burned: 2252 (million)
% 49.50/7.39 % (821122)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=827144971:i=29340_2958 on theBenchmark for (2958ds/29340Mi)
% 49.50/7.39 % (821112)Instruction limit reached!
% 49.50/7.39 % (821112)------------------------------
% 49.50/7.39 % (821112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821112)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821112)Termination reason: Instruction limit
% 49.50/7.39 % (821112)Termination phase: Saturation
% 49.50/7.39 % (821112)Time elapsed: 3.112 s
% 49.50/7.39 % (821112)Peak memory usage: 29 MB
% 49.50/7.39 % (821112)Instructions burned: 3512 (million)
% 49.50/7.39 % (821124)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2064141096:i=5211_2955 on theBenchmark for (2955ds/5211Mi)
% 49.50/7.39 % (821114)Instruction limit reached!
% 49.50/7.39 % (821114)------------------------------
% 49.50/7.39 % (821114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821114)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821114)Termination reason: Instruction limit
% 49.50/7.39 % (821114)Termination phase: Saturation
% 49.50/7.39 % (821114)Time elapsed: 3.328 s
% 49.50/7.39 % (821114)Peak memory usage: 32 MB
% 49.50/7.39 % (821114)Instructions burned: 3774 (million)
% 49.50/7.39 % (821126)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2104640783:i=5497:nm=2_2948 on theBenchmark for (2948ds/5497Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821128)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3389400364:fmbsr=2:i=46332_2947 on theBenchmark for (2947ds/46332Mi)
% 49.50/7.39 % (821120)Instruction limit reached!
% 49.50/7.39 % (821120)------------------------------
% 49.50/7.39 % (821120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821120)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821120)Termination reason: Instruction limit
% 49.50/7.39 % (821120)Termination phase: Saturation
% 49.50/7.39 % (821120)Time elapsed: 2.106 s
% 49.50/7.39 % (821120)Peak memory usage: 34 MB
% 49.50/7.39 % (821120)Instructions burned: 4592 (million)
% 49.50/7.39 % (821130)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3665513269:i=14071_2946 on theBenchmark for (2946ds/14071Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821132)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=515348634:i=22565:add=on:rawr=on_2946 on theBenchmark for (2946ds/22565Mi)
% 49.50/7.39 % Exception at run slice level
% 49.50/7.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.50/7.39 % (821134)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3508373284:i=8173:av=off_2946 on theBenchmark for (2946ds/8173Mi)
% 49.50/7.39 % (821107)Instruction limit reached!
% 49.50/7.39 % (821107)------------------------------
% 49.50/7.39 % (821107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821107)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821107)Termination reason: Instruction limit
% 49.50/7.39 % (821107)Termination phase: Saturation
% 49.50/7.39 % (821107)Time elapsed: 4.425 s
% 49.50/7.39 % (821107)Peak memory usage: 38 MB
% 49.50/7.39 % (821107)Instructions burned: 5114 (million)
% 49.50/7.39 % (821136)dis+10_16:1_sil=16000:random_seed=1856762200:i=9155:fsr=off_2944 on theBenchmark for (2944ds/9155Mi)
% 49.50/7.39 % (821122) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-821052-821122"...
% 49.50/7.39 % (821122)...printing done.
% 49.50/7.39 % (821122)Refutation found. Thanks to Tanya!
% 49.50/7.39 % SZS status Theorem for theBenchmark
% 49.50/7.39 % SZS output start Proof for theBenchmark
% 49.50/7.39 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 49.50/7.39 thf(type_def_6, type, set: $tType > $tType).
% 49.50/7.39 thf(type_def_7, type, b: $tType).
% 49.50/7.39 thf(type_def_8, type, a: $tType).
% 49.50/7.39 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 49.50/7.39 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 49.50/7.39 thf(func_def_1, type, bot: !>[X0: $tType]:($o)).
% 49.50/7.39 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 49.50/7.39 thf(func_def_3, type, top: !>[X0: $tType]:($o)).
% 49.50/7.39 thf(func_def_4, type, ab_group_add: !>[X0: $tType]:($o)).
% 49.50/7.39 thf(func_def_5, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 49.50/7.39 thf(func_def_6, type, bNF_Gr932048252omCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 49.50/7.39 thf(func_def_7, type, bNF_Greatest_image2p: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X0 > X2 > $o) > X1 > X3 > $o))).
% 49.50/7.39 thf(func_def_8, type, bNF_Greatest_toCard: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > X0 > X1))).
% 49.50/7.39 thf(func_def_9, type, bNF_Gr1978856366d_pred: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ product_prod @ X1 @ X1 > (X0 > X1) > $o))).
% 49.50/7.39 thf(func_def_10, type, bNF_Greatest_univ: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 49.50/7.39 thf(func_def_11, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 49.50/7.39 thf(func_def_12, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 49.50/7.39 thf(func_def_13, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 49.50/7.39 thf(func_def_14, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 49.50/7.39 thf(func_def_15, type, hilbert_Eps: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_16, type, hilbert_bijection: !>[X0: $tType]:(((X0 > X0) > $o))).
% 49.50/7.39 thf(func_def_17, type, hilbert_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 49.50/7.39 thf(func_def_18, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 49.50/7.39 thf(func_def_19, type, lattices_ord_arg_max: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_20, type, lattic1534546155max_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 49.50/7.39 thf(func_def_21, type, lattic2130478198rg_max: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0 > $o))).
% 49.50/7.39 thf(func_def_22, type, rel_pred_comp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > X0 > $o))).
% 49.50/7.39 thf(func_def_23, type, bot_bot: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_24, type, top_top: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_25, type, product_case_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 49.50/7.39 thf(func_def_26, type, quotient3: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o))).
% 49.50/7.39 thf(func_def_27, type, quot_type: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (set @ X0 > X1) > (X1 > set @ X0) > $o))).
% 49.50/7.39 thf(func_def_28, type, quot_abs: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (set @ X0 > X1) > X0 > X1))).
% 49.50/7.39 thf(func_def_29, type, quot_rep: !>[X0: $tType, X1: $tType]:(((X0 > set @ X1) > X0 > X1))).
% 49.50/7.39 thf(func_def_30, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 49.50/7.39 thf(func_def_31, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 49.50/7.39 thf(func_def_32, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 49.50/7.39 thf(func_def_33, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 49.50/7.39 thf(func_def_34, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 49.50/7.39 thf(func_def_35, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 49.50/7.39 thf(func_def_36, type, remove: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 49.50/7.39 thf(func_def_37, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_38, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 49.50/7.39 thf(func_def_39, type, p: (a > $o)).
% 49.50/7.39 thf(func_def_40, type, q: (a > b > $o)).
% 49.50/7.39 thf(func_def_44, type, db0: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_45, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 49.50/7.39 thf(func_def_46, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 49.50/7.39 thf(func_def_47, type, db1: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_48, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 49.50/7.39 thf(func_def_49, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 49.50/7.39 thf(func_def_50, type, vNOT: ($o > $o)).
% 49.50/7.39 thf(func_def_51, type, vAND: ($o > $o > $o)).
% 49.50/7.39 thf(func_def_52, type, db4: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_54, type, db3: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_55, type, vOR: ($o > $o > $o)).
% 49.50/7.39 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 49.50/7.39 thf(func_def_57, type, db6: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_58, type, db5: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_59, type, sK0: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_60, type, sK1: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_61, type, sK2: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_62, type, sK3: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 49.50/7.39 thf(func_def_63, type, sK4: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_64, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_65, type, sK6: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_66, type, sK7: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_67, type, sK8: !>[X0: $tType, X1: $tType]:((X0 > (X0 > set @ X1) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_68, type, sK9: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_69, type, sK10: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_70, type, sK11: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_71, type, sK12: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_72, type, sK13: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_73, type, sK14: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_74, type, sK15: !>[X0: $tType]:(X0)).
% 49.50/7.39 thf(func_def_75, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1 > (X2 > X3 > $o) > (X3 > X0) > (X2 > X1) > X2))).
% 49.50/7.39 thf(func_def_76, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1 > (X2 > X3 > $o) > (X3 > X0) > (X2 > X1) > X3))).
% 49.50/7.39 thf(func_def_77, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_78, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X0))).
% 49.50/7.39 thf(func_def_79, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_80, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_81, type, sK22: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_82, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 49.50/7.39 thf(func_def_83, type, sK24: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 49.50/7.39 thf(func_def_84, type, sK25: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 49.50/7.39 thf(func_def_85, type, sK26: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_86, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X0))).
% 49.50/7.39 thf(func_def_87, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 49.50/7.39 thf(func_def_88, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_89, type, sK30: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_90, type, sK31: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 49.50/7.39 thf(func_def_91, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_92, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 49.50/7.39 thf(func_def_93, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 49.50/7.39 thf(func_def_94, type, sK35: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > set @ X1 > X1))).
% 49.50/7.39 thf(func_def_95, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 49.50/7.39 thf(func_def_96, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 49.50/7.39 thf(func_def_97, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_98, type, sK39: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_99, type, sK40: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_100, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X1))).
% 49.50/7.39 thf(func_def_101, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_102, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_103, type, sK44: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_104, type, sK45: !>[X0: $tType, X1: $tType]:((set @ X0 > X0 > set @ X1 > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_105, type, sK46: !>[X0: $tType, X1: $tType]:((set @ X0 > X0 > set @ X1 > (X1 > X0) > set @ X1))).
% 49.50/7.39 thf(func_def_106, type, sK47: !>[X0: $tType]:((X0 > set @ set @ X0 > set @ X0))).
% 49.50/7.39 thf(func_def_107, type, sK48: (a > b)).
% 49.50/7.39 thf(func_def_108, type, sK49: a).
% 49.50/7.39 thf(func_def_109, type, sK50: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 49.50/7.39 thf(func_def_110, type, sK51: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_111, type, sK52: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_112, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_113, type, sK54: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_114, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 49.50/7.39 thf(func_def_115, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 49.50/7.39 thf(func_def_116, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X1))).
% 49.50/7.39 thf(func_def_117, type, sK58: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 49.50/7.39 thf(func_def_118, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_119, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 49.50/7.39 thf(func_def_120, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_121, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_122, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_123, type, sK64: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 49.50/7.39 thf(func_def_124, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_125, type, sK66: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_126, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_127, type, sK68: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_128, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_129, type, sK70: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_130, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_131, type, sK72: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_132, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_133, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_134, type, sK75: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_135, type, sK76: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_136, type, sK77: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_137, type, sK78: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_138, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_139, type, sK80: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_140, type, sK81: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_141, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_142, type, sK83: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_143, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_144, type, sK85: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_145, type, sK86: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_146, type, sK87: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_147, type, sK88: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_148, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_149, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_150, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_151, type, sK92: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_152, type, sK93: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_153, type, sK94: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_154, type, sK95: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_155, type, sK96: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_156, type, sK97: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_157, type, sK98: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_158, type, sK99: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_159, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_160, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_161, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_162, type, sK103: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_163, type, sK104: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_164, type, sK105: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_165, type, sK106: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_166, type, sK107: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_167, type, sK108: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 49.50/7.39 thf(func_def_168, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_169, type, sK110: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_170, type, sK111: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_171, type, sK112: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_172, type, sK113: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_173, type, sK114: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_174, type, sK115: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_175, type, sK116: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 49.50/7.39 thf(func_def_176, type, sK117: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_177, type, sK118: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_178, type, sK119: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_179, type, sK120: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 49.50/7.39 thf(func_def_180, type, sK121: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_181, type, sK122: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_182, type, sK123: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_183, type, sK124: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 49.50/7.39 thf(func_def_184, type, sK125: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_185, type, sK126: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 49.50/7.39 thf(func_def_186, type, sK127: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_187, type, sK128: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > X1))).
% 49.50/7.39 thf(func_def_188, type, sK129: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 49.50/7.39 thf(func_def_189, type, sK130: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > X0))).
% 49.50/7.39 thf(func_def_190, type, sK131: !>[X0: $tType]:((X0 > X0))).
% 49.50/7.39 thf(func_def_191, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3) > (X2 > X0) > (X1 > X2 > $o) > X2 > X1 > X2))).
% 49.50/7.39 thf(func_def_192, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X2 > (X2 > X1 > $o) > (X2 > X3) > X1 > (X1 > X0) > X2))).
% 49.50/7.39 thf(func_def_193, type, sK134: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_194, type, sK135: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_195, type, sK136: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_196, type, sK137: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_197, type, sK138: !>[X0: $tType]:((set @ X0 > X0))).
% 49.50/7.39 thf(func_def_198, type, sK139: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_199, type, sK140: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_200, type, sK141: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_201, type, sK142: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_202, type, sK143: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_203, type, sK144: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_204, type, sK145: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_205, type, sK146: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_206, type, sK147: !>[X0: $tType]:(((X0 > $o) > X0))).
% 49.50/7.39 thf(func_def_208, type, sK149: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_209, type, sK150: a).
% 49.50/7.39 thf(func_def_210, type, sK151: a).
% 49.50/7.39 thf(func_def_211, type, sK152: a).
% 49.50/7.39 thf(func_def_212, type, sK153: !>[X0: $tType]:(((X0 > a) > (X0 > b > $o) > b))).
% 49.50/7.39 thf(func_def_213, type, sK154: b).
% 49.50/7.39 thf(func_def_214, type, sK155: b).
% 49.50/7.39 thf(func_def_215, type, sK156: b).
% 49.50/7.39 thf(func_def_216, type, sK157: (($o > b > $o) > b)).
% 49.50/7.39 thf(func_def_217, type, sK158: (($o > b > $o) > $o > b)).
% 49.50/7.39 thf(func_def_218, type, sK159: b).
% 49.50/7.39 thf(func_def_219, type, sK160: (($o > b > $o) > b)).
% 49.50/7.39 thf(func_def_220, type, sK161: (($o > b > $o) > $o > b)).
% 49.50/7.39 thf(func_def_221, type, sK162: (b > b)).
% 49.50/7.39 thf(func_def_222, type, sK163: (a > b)).
% 49.50/7.39 thf(func_def_223, type, sK164: ($o > a > a)).
% 49.50/7.39 thf(func_def_224, type, sK165: a).
% 49.50/7.39 thf(func_def_225, type, sK166: a).
% 49.50/7.39 thf(func_def_226, type, sK167: b).
% 49.50/7.39 thf(func_def_227, type, sK168: ($o > a > a)).
% 49.50/7.39 thf(func_def_228, type, sK169: a).
% 49.50/7.39 thf(func_def_229, type, sK170: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_230, type, sK171: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_231, type, sK172: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_232, type, sK173: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_233, type, sK174: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_234, type, sK175: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_235, type, sK176: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_236, type, sK177: !>[X0: $tType, X1: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_237, type, sK178: !>[X0: $tType, X1: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_238, type, sK179: !>[X0: $tType, X1: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_239, type, sK180: !>[X0: $tType, X1: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_240, type, sK181: !>[X0: $tType, X1: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_241, type, sK182: !>[X0: $tType, X1: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_242, type, sK183: !>[X0: $tType]:(((X0 > a > $o) > X0 > a))).
% 49.50/7.39 thf(func_def_243, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_244, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_245, type, sK186: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_246, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_247, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_248, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_249, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_250, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_251, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_252, type, sK193: !>[X0: $tType, X1: $tType]:(a)).
% 49.50/7.39 thf(func_def_253, type, sK194: !>[X0: $tType, X1: $tType]:(a)).
% 49.50/7.39 thf(func_def_254, type, sK195: !>[X0: $tType, X1: $tType]:(a)).
% 49.50/7.39 thf(func_def_255, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_256, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_257, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_258, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_259, type, sK200: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_260, type, sK201: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_261, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_262, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_263, type, sK204: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_264, type, sK205: !>[X0: $tType, X1: $tType, X2: $tType]:(a)).
% 49.50/7.39 thf(func_def_265, type, sK206: !>[X0: $tType, X1: $tType, X2: $tType]:(a)).
% 49.50/7.39 thf(func_def_266, type, sK207: !>[X0: $tType, X1: $tType, X2: $tType]:(a)).
% 49.50/7.39 thf(func_def_267, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_268, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_269, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_270, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_271, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_272, type, sK213: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > a > $o) > X1 > a))).
% 49.50/7.39 thf(func_def_273, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_274, type, sK215: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_275, type, sK216: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_276, type, sK217: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(a)).
% 49.50/7.39 thf(func_def_277, type, sK218: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(a)).
% 49.50/7.39 thf(func_def_278, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(a)).
% 49.50/7.39 thf(func_def_279, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_280, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_281, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_282, type, sK223: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_283, type, sK224: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_284, type, sK225: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_285, type, sK226: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_286, type, sK227: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_287, type, sK228: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_288, type, sK229: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_289, type, sK230: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_290, type, sK231: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_291, type, sK232: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_292, type, sK233: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_293, type, sK234: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((X2 > a > $o) > X2 > a))).
% 49.50/7.39 thf(func_def_294, type, sK235: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(a)).
% 49.50/7.39 thf(func_def_295, type, sK236: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(a)).
% 49.50/7.39 thf(func_def_296, type, sK237: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(a)).
% 49.50/7.39 thf(f9,axiom,(
% 49.50/7.39 ! [X0 : $tType,X1 : (X0 > $o)] : (? [X2 : X0] : (X1 @ X2) => (X1 @ (hilbert_Eps @ X0 @ X1)))),
% 49.50/7.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_someI__ex)).
% 49.50/7.39 thf(f269,axiom,(
% 49.50/7.39 ! [X0 : a] : ((p @ X0) => ? [X1 : b] : (q @ X0 @ X1))),
% 49.50/7.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 49.50/7.39 thf(f270,conjecture,(
% 49.50/7.39 ! [X0 : a] : ((q @ X0 @ (hilbert_Eps @ b @ (q @ X0))) | ~(p @ X0))),
% 49.50/7.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 49.50/7.39 thf(f271,negated_conjecture,(
% 49.50/7.39 ~ ! [X0 : a] : ((q @ X0 @ (hilbert_Eps @ b @ (q @ X0))) | ~(p @ X0))),
% 49.50/7.39 inference(negated_conjecture,[status(cth)],[f270])).
% 49.50/7.39 thf(f287,plain,(
% 49.50/7.39 ! [X0 : $tType,X1 : (X0 > $o)] : (? [X2 : X0] : (X1 @ X2) => (X1 @ (hilbert_Eps @ X0 @ X1)))),
% 49.50/7.39 inference(rectify,[],[f9])).
% 49.50/7.39 thf(f288,plain,(
% 49.50/7.39 ! [X0 : $tType,X1 : (X0 > $o)] : (? [X2 : X0] : (((X1 @ X2)) = $true) => (((X1 @ (hilbert_Eps @ X0 @ X1))) = $true))),
% 49.50/7.39 inference(fool_elimination,[],[f287])).
% 49.50/7.39 thf(f718,plain,(
% 49.50/7.39 ! [X0 : a] : ((p @ X0) => ? [X1 : b] : (q @ X0 @ X1))),
% 49.50/7.39 inference(rectify,[],[f269])).
% 49.50/7.39 thf(f719,plain,(
% 49.50/7.39 ! [X0 : a] : ((((p @ X0)) = $true) => ? [X1 : b] : (((q @ X0 @ X1)) = $true))),
% 49.50/7.39 inference(fool_elimination,[],[f718])).
% 49.50/7.39 thf(f720,plain,(
% 49.50/7.39 ~ ! [X0 : a] : ((q @ X0 @ (hilbert_Eps @ b @ (q @ X0))) | ~(p @ X0))),
% 49.50/7.39 inference(rectify,[],[f271])).
% 49.50/7.39 thf(f721,plain,(
% 49.50/7.39 ~ ! [X0 : a] : ((((q @ X0 @ (hilbert_Eps @ b @ (q @ X0)))) = $true) | ~ (((p @ X0)) = $true))),
% 49.50/7.39 inference(fool_elimination,[],[f720])).
% 49.50/7.39 thf(f746,plain,(
% 49.50/7.39 ~ ! [X0 : a] : ((((q @ X0 @ (hilbert_Eps @ b @ (q @ X0)))) = $true) | (((p @ X0)) != $true))),
% 49.50/7.39 inference(flattening,[],[f721])).
% 49.50/7.39 thf(f754,plain,(
% 49.50/7.39 ! [X0 : $tType,X1 : (X0 > $o)] : ((((X1 @ (hilbert_Eps @ X0 @ X1))) = $true) | ! [X2 : X0] : (((X1 @ X2)) != $true))),
% 49.50/7.39 inference(ennf_transformation,[],[f288])).
% 49.50/7.39 thf(f951,plain,(
% 49.50/7.39 ! [X0 : a] : (? [X1 : b] : (((q @ X0 @ X1)) = $true) | (((p @ X0)) != $true))),
% 49.50/7.39 inference(ennf_transformation,[],[f719])).
% 49.50/7.39 thf(f952,plain,(
% 49.50/7.39 ? [X0 : a] : ((((q @ X0 @ (hilbert_Eps @ b @ (q @ X0)))) != $true) & (((p @ X0)) = $true))),
% 49.50/7.39 inference(ennf_transformation,[],[f746])).
% 49.50/7.39 thf(f998,plain,(
% 49.50/7.39 ! [X0 : a] : (($true = ((q @ X0 @ (sK48 @ X0)))) | (((p @ X0)) != $true))),
% 49.50/7.39 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK0 @ X0 @ X2 @ X1)],[f951])).
% 49.50/7.39 thf(f999,plain,(
% 49.50/7.39 ($true != ((q @ sK49 @ (hilbert_Eps @ b @ (q @ sK49))))) & ($true = ((p @ sK49)))),
% 49.50/7.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X0,sK49)],[f952])).
% 49.50/7.39 thf(f1010,plain,(
% 49.50/7.39 ( ! [X0 : $tType,X2 : X0,X1 : (X0 > $o)] : ((((X1 @ X2)) != $true) | (((X1 @ (hilbert_Eps @ X0 @ X1))) = $true)) )),
% 49.50/7.39 inference(cnf_transformation,[],[f754])).
% 49.50/7.39 thf(f1302,plain,(
% 49.50/7.39 ( ! [X0 : a] : ((((p @ X0)) != $true) | ($true = ((q @ X0 @ (sK48 @ X0))))) )),
% 49.50/7.39 inference(cnf_transformation,[],[f998])).
% 49.50/7.39 thf(f1303,plain,(
% 49.50/7.39 ($true = ((p @ sK49)))),
% 49.50/7.39 inference(cnf_transformation,[],[f999])).
% 49.50/7.39 thf(f1304,plain,(
% 49.50/7.39 ($true != ((q @ sK49 @ (hilbert_Eps @ b @ (q @ sK49)))))),
% 49.50/7.39 inference(cnf_transformation,[],[f999])).
% 49.50/7.39 thf(f3447,plain,(
% 49.50/7.39 ( ! [X0 : b] : (($true != ((q @ sK49 @ X0)))) )),
% 49.50/7.39 inference(unit_resulting_resolution,[],[f1010,f1304])).
% 49.50/7.39 thf(f17665,plain,(
% 49.50/7.39 $false),
% 49.50/7.39 inference(unit_resulting_resolution,[],[f1302,f1303,f3447])).
% 49.50/7.39 % SZS output end Proof for theBenchmark
% 49.50/7.39 % (821122)------------------------------
% 49.50/7.39 % (821122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.50/7.39 % (821122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.50/7.39 % (821122)CaDiCaL version: 2.1.3
% 49.50/7.39 % (821122)Termination reason: Refutation
% 49.50/7.39 % (821122)Time elapsed: 2.861 s
% 49.50/7.39 % (821122)Peak memory usage: 21 MB
% 49.50/7.39 % (821122)Instructions burned: 3348 (million)
% 49.50/7.39 % (821052)Success in time 7.063 s
% 49.50/7.39 % Vampire exiting
%------------------------------------------------------------------------------