%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP192^2 : 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 : n007.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 08:11:03 AM UTC 2026
% Result : Theorem 83.64s 12.12s
% Output : Refutation 83.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP192^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:07:56 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.52/1.07 % (3868016)Will run a generic schedule for satisfiability detection.
% 5.52/1.07 % (3868047)dis+10_1_sil=32000:sp=arity:random_seed=3698545260:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.52/1.07 % (3868044)% WARNING: option uhcvi not known.
% 5.52/1.07 % (3868045)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=245096357:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.52/1.07 % (3868043)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1052565809_2999 on theBenchmark for (2999ds/0Mi)
% 5.52/1.07 % (3868044)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3572118223:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.52/1.07 % (3868048)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3121793473:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.52/1.07 % (3868049)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1663016126:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.52/1.07 % (3868050)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1727329594:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.52/1.07 % (3868047)Instruction limit reached!
% 5.52/1.07 % (3868047)------------------------------
% 5.52/1.07 % (3868047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.07 % (3868047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.07 % (3868047)CaDiCaL version: 2.1.3
% 5.52/1.07 % (3868047)Termination reason: Instruction limit
% 5.52/1.07 % (3868047)Termination phase: Property scanning
% 5.52/1.07 % (3868047)Time elapsed: 0.024 s
% 5.52/1.07 % (3868047)Peak memory usage: 11 MB
% 5.52/1.07 % (3868047)Instructions burned: 104 (million)
% 5.52/1.07 % (3868044)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.52/1.07 % (3868048)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.52/1.07 % (3868066)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3588074268:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.52/1.07 % (3868048)Instruction limit reached!
% 5.52/1.07 % (3868048)------------------------------
% 5.52/1.07 % (3868048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.07 % (3868048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.07 % (3868048)CaDiCaL version: 2.1.3
% 5.52/1.07 % (3868048)Termination reason: Instruction limit
% 5.52/1.07 % (3868048)Termination phase: Property scanning
% 5.52/1.07 % (3868048)Time elapsed: 0.050 s
% 5.52/1.07 % (3868048)Peak memory usage: 11 MB
% 5.52/1.07 % (3868048)Instructions burned: 118 (million)
% 5.52/1.07 % Exception at run slice level
% 5.52/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.52/1.07 % (3868049)Instruction limit reached!
% 5.52/1.07 % (3868049)------------------------------
% 5.52/1.07 % (3868049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.07 % Exception at run slice level
% 5.52/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.52/1.07 % (3868049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.07 % (3868049)CaDiCaL version: 2.1.3
% 5.52/1.07 % (3868049)Termination reason: Instruction limit
% 5.52/1.07 % (3868049)Termination phase: Property scanning
% 5.52/1.07 % (3868049)Time elapsed: 0.055 s
% 5.52/1.07 % (3868049)Peak memory usage: 11 MB
% 5.52/1.07 % (3868049)Instructions burned: 133 (million)
% 5.52/1.07 % (3868044)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.52/1.07 % (3868085)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=3141629424:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.52/1.07 % (3868050)Instruction limit reached!
% 5.52/1.07 % (3868050)------------------------------
% 5.52/1.07 % (3868050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.07 % (3868050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.07 % (3868050)CaDiCaL version: 2.1.3
% 5.52/1.07 % (3868050)Termination reason: Instruction limit
% 5.52/1.07 % (3868050)Termination phase: Saturation
% 5.52/1.07 % (3868050)Time elapsed: 0.068 s
% 5.52/1.07 % (3868050)Peak memory usage: 13 MB
% 16.46/2.66 % (3868050)Instructions burned: 160 (million)
% 16.46/2.66 % (3868081)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2478182773:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.46/2.66 % (3868086)ott-21_1_sil=16000:fs=off:random_seed=2535440774:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.46/2.66 % (3868087)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=30742615:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.46/2.66 % (3868085)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.46/2.66 % (3868092)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=489060414:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.46/2.66 % (3868085)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.46/2.66 % (3868081)Instruction limit reached!
% 16.46/2.66 % (3868081)------------------------------
% 16.46/2.66 % (3868081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.46/2.66 % (3868081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/2.66 % (3868081)CaDiCaL version: 2.1.3
% 16.46/2.66 % (3868081)Termination reason: Instruction limit
% 16.46/2.66 % (3868081)Termination phase: Property scanning
% 16.46/2.66 % (3868081)Time elapsed: 0.055 s
% 16.46/2.66 % (3868081)Peak memory usage: 12 MB
% 16.46/2.66 % (3868081)Instructions burned: 131 (million)
% 16.46/2.66 % (3868115)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3185327454:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.46/2.66 % Exception at run slice level
% 16.46/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.46/2.66 % (3868086)Instruction limit reached!
% 16.46/2.66 % (3868086)------------------------------
% 16.46/2.66 % (3868086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.46/2.66 % (3868086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/2.66 % (3868086)CaDiCaL version: 2.1.3
% 16.46/2.66 % (3868086)Termination reason: Instruction limit
% 16.46/2.66 % (3868086)Termination phase: Saturation
% 16.46/2.66 % (3868086)Time elapsed: 0.076 s
% 16.46/2.66 % (3868086)Peak memory usage: 13 MB
% 16.46/2.66 % (3868086)Instructions burned: 181 (million)
% 16.46/2.66 % (3868120)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2319481805:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 16.46/2.66 % (3868126)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=1476157834: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)
% 16.46/2.66 % (3868126)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.46/2.66 % Exception at run slice level
% 16.46/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.46/2.66 % (3868085)Instruction limit reached!
% 16.46/2.66 % (3868085)------------------------------
% 16.46/2.66 % (3868085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.46/2.66 % (3868085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/2.66 % (3868085)CaDiCaL version: 2.1.3
% 16.46/2.66 % (3868085)Termination reason: Instruction limit
% 16.46/2.66 % (3868085)Termination phase: Saturation
% 16.46/2.66 % (3868085)Time elapsed: 0.177 s
% 16.46/2.66 % (3868085)Peak memory usage: 18 MB
% 16.46/2.66 % (3868085)Instructions burned: 685 (million)
% 16.46/2.66 % (3868163)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1480313943:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.46/2.66 % (3868164)fmb+10_1_sil=64000:random_seed=1635619000:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.46/2.66 % (3868163)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.46/2.66 % (3868164)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.46/2.66 % Exception at run slice level
% 16.46/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.46/2.66 % (3868167)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=54951584:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 16.46/2.66 % (3868087)Instruction limit reached!
% 16.46/2.66 % (3868087)------------------------------
% 16.46/2.66 % (3868087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/6.91 % (3868087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/6.91 % (3868087)CaDiCaL version: 2.1.3
% 47.22/6.91 % (3868087)Termination reason: Instruction limit
% 47.22/6.91 % (3868087)Termination phase: Saturation
% 47.22/6.91 % (3868087)Time elapsed: 0.233 s
% 47.22/6.91 % (3868087)Peak memory usage: 15 MB
% 47.22/6.91 % (3868087)Instructions burned: 477 (million)
% 47.22/6.91 % Exception at run slice level
% 47.22/6.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.22/6.91 % (3868169)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3731707208:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 47.22/6.91 % (3868170)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3528438185:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 47.22/6.91 % (3868170)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 47.22/6.91 % Exception at run slice level
% 47.22/6.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.22/6.91 % (3868173)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3249569295:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 47.22/6.91 % (3868173)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 47.22/6.91 % (3868173)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 47.22/6.91 % (3868126)Instruction limit reached!
% 47.22/6.91 % (3868126)------------------------------
% 47.22/6.91 % (3868126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/6.91 % (3868126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/6.91 % (3868126)CaDiCaL version: 2.1.3
% 47.22/6.91 % (3868126)Termination reason: Instruction limit
% 47.22/6.91 % (3868126)Termination phase: Saturation
% 47.22/6.91 % (3868126)Time elapsed: 0.364 s
% 47.22/6.91 % (3868126)Peak memory usage: 20 MB
% 47.22/6.91 % (3868126)Instructions burned: 693 (million)
% 47.22/6.91 % (3868175)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1431712040:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 47.22/6.91 % Exception at run slice level
% 47.22/6.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.22/6.91 % (3868177)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1105966616:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 47.22/6.91 % (3868163)Instruction limit reached!
% 47.22/6.91 % (3868163)------------------------------
% 47.22/6.91 % (3868163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/6.91 % (3868163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/6.91 % (3868163)CaDiCaL version: 2.1.3
% 47.22/6.91 % (3868163)Termination reason: Instruction limit
% 47.22/6.91 % (3868163)Termination phase: Saturation
% 47.22/6.91 % (3868163)Time elapsed: 0.418 s
% 47.22/6.91 % (3868163)Peak memory usage: 19 MB
% 47.22/6.91 % (3868163)Instructions burned: 880 (million)
% 47.22/6.91 % Exception at run slice level
% 47.22/6.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 47.22/6.91 % (3868179)ott-2_1_sil=16000:newcnf=on:random_seed=2867703209:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 47.22/6.91 % (3868180)ott+10_1_sil=32000:tgt=ground:random_seed=3736408176:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 47.22/6.91 % (3868179)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 47.22/6.91 % (3868115)Instruction limit reached!
% 47.22/6.91 % (3868115)------------------------------
% 47.22/6.91 % (3868115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/6.91 % (3868115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/6.91 % (3868115)CaDiCaL version: 2.1.3
% 47.22/6.91 % (3868115)Termination reason: Instruction limit
% 47.22/6.91 % (3868115)Termination phase: Saturation
% 47.22/6.91 % (3868115)Time elapsed: 0.567 s
% 47.22/6.91 % (3868115)Peak memory usage: 22 MB
% 47.22/6.91 % (3868115)Instructions burned: 1180 (million)
% 47.22/6.91 % (3868183)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3623487698:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 47.22/6.91 % Exception at run slice level
% 83.64/12.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.64/12.12 % (3868185)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2871691069:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 83.64/12.12 % (3868185)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.64/12.12 % (3868179)Instruction limit reached!
% 83.64/12.12 % (3868179)------------------------------
% 83.64/12.12 % (3868179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868179)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868179)Termination reason: Instruction limit
% 83.64/12.12 % (3868179)Termination phase: Saturation
% 83.64/12.12 % (3868179)Time elapsed: 0.400 s
% 83.64/12.12 % (3868179)Peak memory usage: 18 MB
% 83.64/12.12 % (3868179)Instructions burned: 869 (million)
% 83.64/12.12 % (3868187)dis+21_1_sil=32000:sas=cadical:random_seed=1718458863:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 83.64/12.12 % (3868173)Instruction limit reached!
% 83.64/12.12 % (3868173)------------------------------
% 83.64/12.12 % (3868173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868173)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868173)Termination reason: Instruction limit
% 83.64/12.12 % (3868173)Termination phase: Saturation
% 83.64/12.12 % (3868173)Time elapsed: 0.726 s
% 83.64/12.12 % (3868173)Peak memory usage: 21 MB
% 83.64/12.12 % (3868173)Instructions burned: 1474 (million)
% 83.64/12.12 % (3868189)ott+11_1_sil=16000:gs=on:random_seed=331431171:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 83.64/12.12 % (3868189)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.64/12.12 % (3868170)Instruction limit reached!
% 83.64/12.12 % (3868170)------------------------------
% 83.64/12.12 % (3868170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868170)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868170)Termination reason: Instruction limit
% 83.64/12.12 % (3868170)Termination phase: Saturation
% 83.64/12.12 % (3868170)Time elapsed: 1.226 s
% 83.64/12.12 % (3868170)Peak memory usage: 35 MB
% 83.64/12.12 % (3868170)Instructions burned: 5135 (million)
% 83.64/12.12 % (3868191)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3685132340:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 83.64/12.12 % Exception at run slice level
% 83.64/12.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.64/12.12 % (3868193)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=601711283:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 83.64/12.12 % (3868189)Instruction limit reached!
% 83.64/12.12 % (3868189)------------------------------
% 83.64/12.12 % (3868189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868189)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868189)Termination reason: Instruction limit
% 83.64/12.12 % (3868189)Termination phase: Saturation
% 83.64/12.12 % (3868189)Time elapsed: 0.942 s
% 83.64/12.12 % (3868189)Peak memory usage: 21 MB
% 83.64/12.12 % (3868189)Instructions burned: 2254 (million)
% 83.64/12.12 % (3868195)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1860152565:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 83.64/12.12 % (3868185)Instruction limit reached!
% 83.64/12.12 % (3868185)------------------------------
% 83.64/12.12 % (3868185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868185)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868185)Termination reason: Instruction limit
% 83.64/12.12 % (3868185)Termination phase: Saturation
% 83.64/12.12 % (3868185)Time elapsed: 1.544 s
% 83.64/12.12 % (3868185)Peak memory usage: 26 MB
% 83.64/12.12 % (3868185)Instructions burned: 3513 (million)
% 83.64/12.12 % (3868197)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2553069444:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 83.64/12.12 % (3868193)Instruction limit reached!
% 83.64/12.12 % (3868193)------------------------------
% 83.64/12.12 % (3868193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868193)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868193)Termination reason: Instruction limit
% 83.64/12.12 % (3868193)Termination phase: Saturation
% 83.64/12.12 % (3868193)Time elapsed: 1.172 s
% 83.64/12.12 % (3868193)Peak memory usage: 31 MB
% 83.64/12.12 % (3868193)Instructions burned: 4594 (million)
% 83.64/12.12 % (3868187)Instruction limit reached!
% 83.64/12.12 % (3868187)------------------------------
% 83.64/12.12 % (3868187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868187)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868187)Termination reason: Instruction limit
% 83.64/12.12 % (3868187)Termination phase: Saturation
% 83.64/12.12 % (3868187)Time elapsed: 1.679 s
% 83.64/12.12 % (3868187)Peak memory usage: 28 MB
% 83.64/12.12 % (3868187)Instructions burned: 3774 (million)
% 83.64/12.12 % (3868199)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3561460124:i=5497:nm=2_2971 on theBenchmark for (2971ds/5497Mi)
% 83.64/12.12 % (3868200)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1351499587:fmbsr=2:i=46332_2971 on theBenchmark for (2971ds/46332Mi)
% 83.64/12.12 % Exception at run slice level
% 83.64/12.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.64/12.12 % (3868203)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3528800153:i=14071_2971 on theBenchmark for (2971ds/14071Mi)
% 83.64/12.12 % Exception at run slice level
% 83.64/12.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.64/12.12 % Exception at run slice level
% 83.64/12.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.64/12.12 % (3868205)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4105116158:i=22565:add=on:rawr=on_2970 on theBenchmark for (2970ds/22565Mi)
% 83.64/12.12 % (3868206)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1912725386:i=8173:av=off_2970 on theBenchmark for (2970ds/8173Mi)
% 83.64/12.12 % (3868180)Instruction limit reached!
% 83.64/12.12 % (3868180)------------------------------
% 83.64/12.12 % (3868180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868180)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868180)Termination reason: Instruction limit
% 83.64/12.12 % (3868180)Termination phase: Saturation
% 83.64/12.12 % (3868180)Time elapsed: 2.326 s
% 83.64/12.12 % (3868180)Peak memory usage: 50 MB
% 83.64/12.12 % (3868180)Instructions burned: 5115 (million)
% 83.64/12.12 % (3868209)dis+10_16:1_sil=16000:random_seed=2071556430:i=9155:fsr=off_2969 on theBenchmark for (2969ds/9155Mi)
% 83.64/12.12 % (3868197)Instruction limit reached!
% 83.64/12.12 % (3868197)------------------------------
% 83.64/12.12 % (3868197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868197)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868197)Termination reason: Instruction limit
% 83.64/12.12 % (3868197)Termination phase: Saturation
% 83.64/12.12 % (3868197)Time elapsed: 2.411 s
% 83.64/12.12 % (3868197)Peak memory usage: 46 MB
% 83.64/12.12 % (3868197)Instructions burned: 5212 (million)
% 83.64/12.12 % (3868211)ott-3_8_sil=64000:random_seed=1026053054:i=20139:bs=on_2951 on theBenchmark for (2951ds/20139Mi)
% 83.64/12.12 % (3868206)Instruction limit reached!
% 83.64/12.12 % (3868206)------------------------------
% 83.64/12.12 % (3868206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868206)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868206)Termination reason: Instruction limit
% 83.64/12.12 % (3868206)Termination phase: Saturation
% 83.64/12.12 % (3868206)Time elapsed: 3.715 s
% 83.64/12.12 % (3868206)Peak memory usage: 48 MB
% 83.64/12.12 % (3868206)Instructions burned: 8175 (million)
% 83.64/12.12 % (3868213)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=320265587:fmbsr=2:i=32576_2933 on theBenchmark for (2933ds/32576Mi)
% 83.64/12.12 % Exception at run slice level
% 83.64/12.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.64/12.12 % (3868215)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2158989322:i=11404_2932 on theBenchmark for (2932ds/11404Mi)
% 83.64/12.12 % (3868205)Instruction limit reached!
% 83.64/12.12 % (3868205)------------------------------
% 83.64/12.12 % (3868205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868205)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868205)Termination reason: Instruction limit
% 83.64/12.12 % (3868205)Termination phase: Saturation
% 83.64/12.12 % (3868205)Time elapsed: 3.897 s
% 83.64/12.12 % (3868205)Peak memory usage: 27 MB
% 83.64/12.12 % (3868205)Instructions burned: 22570 (million)
% 83.64/12.12 % (3868217)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1226573002:i=14134_2931 on theBenchmark for (2931ds/14134Mi)
% 83.64/12.12 % (3868217)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.64/12.12 % (3868209)Instruction limit reached!
% 83.64/12.12 % (3868209)------------------------------
% 83.64/12.12 % (3868209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868209)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868209)Termination reason: Instruction limit
% 83.64/12.12 % (3868209)Termination phase: Saturation
% 83.64/12.12 % (3868209)Time elapsed: 3.994 s
% 83.64/12.12 % (3868209)Peak memory usage: 52 MB
% 83.64/12.12 % (3868209)Instructions burned: 9156 (million)
% 83.64/12.12 % (3868219)dis+33_16_sil=32000:sac=on:random_seed=2683921182:i=15851:nm=0_2928 on theBenchmark for (2928ds/15851Mi)
% 83.64/12.12 % (3868217)Instruction limit reached!
% 83.64/12.12 % (3868217)------------------------------
% 83.64/12.12 % (3868217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868217)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868217)Termination reason: Instruction limit
% 83.64/12.12 % (3868217)Termination phase: Saturation
% 83.64/12.12 % (3868217)Time elapsed: 3.306 s
% 83.64/12.12 % (3868217)Peak memory usage: 96 MB
% 83.64/12.12 % (3868217)Instructions burned: 14138 (million)
% 83.64/12.12 % (3868221)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1829171122:avsq=on:i=17627:add=on:amm=off_2898 on theBenchmark for (2898ds/17627Mi)
% 83.64/12.12 % (3868215)Instruction limit reached!
% 83.64/12.12 % (3868215)------------------------------
% 83.64/12.12 % (3868215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868215)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868215)Termination reason: Instruction limit
% 83.64/12.12 % (3868215)Termination phase: Saturation
% 83.64/12.12 % (3868215)Time elapsed: 5.047 s
% 83.64/12.12 % (3868215)Peak memory usage: 92 MB
% 83.64/12.12 % (3868215)Instructions burned: 11406 (million)
% 83.64/12.12 % (3868211) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3868016-3868211"...
% 83.64/12.12 % (3868211)...printing done.
% 83.64/12.12 % (3868223)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=830533179:s2a=on:i=53295_2881 on theBenchmark for (2881ds/53295Mi)
% 83.64/12.12 % (3868211)Refutation found. Thanks to Tanya!
% 83.64/12.12 % SZS status Theorem for theBenchmark
% 83.64/12.12 % SZS output start Proof for theBenchmark
% 83.64/12.12 thf(type_def_5, type, late_residual: $tType).
% 83.64/12.12 thf(type_def_6, type, late_subject: $tType).
% 83.64/12.12 thf(type_def_7, type, late_freeRes: $tType).
% 83.64/12.12 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 83.64/12.12 thf(type_def_9, type, noption: $tType > $tType).
% 83.64/12.12 thf(type_def_10, type, name: $tType).
% 83.64/12.12 thf(type_def_11, type, pi: $tType).
% 83.64/12.12 thf(type_def_12, type, set: $tType > $tType).
% 83.64/12.12 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 83.64/12.12 thf(func_def_0, type, fs_name: !>[X0: $tType]:($o)).
% 83.64/12.12 thf(func_def_1, type, bang: (pi > pi)).
% 83.64/12.12 thf(func_def_2, type, input: (name > name > pi > pi)).
% 83.64/12.12 thf(func_def_3, type, match: (name > name > pi > pi)).
% 83.64/12.12 thf(func_def_4, type, mismatch: (name > name > pi > pi)).
% 83.64/12.12 thf(func_def_5, type, output: (name > name > pi > pi)).
% 83.64/12.12 thf(func_def_6, type, par: (pi > pi > pi)).
% 83.64/12.12 thf(func_def_7, type, piNil: pi).
% 83.64/12.12 thf(func_def_8, type, res: (name > pi > pi)).
% 83.64/12.12 thf(func_def_9, type, sum: (pi > pi > pi)).
% 83.64/12.12 thf(func_def_10, type, tau: (pi > pi)).
% 83.64/12.12 thf(func_def_11, type, subs: (pi > name > name > pi)).
% 83.64/12.12 thf(func_def_12, type, subst_name: (name > name > name > name)).
% 83.64/12.12 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 83.64/12.12 thf(func_def_14, type, late_case_freeRes: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 83.64/12.12 thf(func_def_15, type, late_OutputR: (name > name > late_freeRes)).
% 83.64/12.12 thf(func_def_16, type, late_TauR: late_freeRes).
% 83.64/12.12 thf(func_def_17, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 83.64/12.12 thf(func_def_18, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 83.64/12.12 thf(func_def_19, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 83.64/12.12 thf(func_def_20, type, late_BoundOutputS: (name > late_subject)).
% 83.64/12.12 thf(func_def_21, type, late_InputS: (name > late_subject)).
% 83.64/12.12 thf(func_def_22, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 83.64/12.12 thf(func_def_23, type, late_transitions: (pi > late_residual > $o)).
% 83.64/12.12 thf(func_def_24, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 83.64/12.12 thf(func_def_25, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 83.64/12.12 thf(func_def_26, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 83.64/12.12 thf(func_def_27, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 83.64/12.12 thf(func_def_28, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 83.64/12.12 thf(func_def_29, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 83.64/12.12 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 83.64/12.12 thf(func_def_31, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 83.64/12.12 thf(func_def_32, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 83.64/12.12 thf(func_def_33, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 83.64/12.12 thf(func_def_34, type, p: pi).
% 83.64/12.12 thf(func_def_35, type, pq: pi).
% 83.64/12.12 thf(func_def_36, type, p2: pi).
% 83.64/12.12 thf(func_def_37, type, q: pi).
% 83.64/12.12 thf(func_def_38, type, q2: pi).
% 83.64/12.12 thf(func_def_39, type, rel: set @ product_prod @ pi @ pi).
% 83.64/12.12 thf(func_def_40, type, alpha: late_freeRes).
% 83.64/12.12 thf(func_def_41, type, aa: name).
% 83.64/12.12 thf(func_def_42, type, x: name).
% 83.64/12.12 thf(func_def_43, type, xPQ: pi).
% 83.64/12.12 thf(func_def_44, type, y: name).
% 83.64/12.12 thf(func_def_45, type, z: name).
% 83.64/12.12 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 83.64/12.12 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 83.64/12.12 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_53, type, vNOT: ($o > $o)).
% 83.64/12.12 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 83.64/12.12 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 83.64/12.12 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 83.64/12.12 thf(func_def_57, type, db3: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_59, type, db5: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 83.64/12.12 thf(func_def_61, type, db6: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 83.64/12.12 thf(func_def_63, type, vOR: ($o > $o > $o)).
% 83.64/12.12 thf(func_def_64, type, sP0: (pi > pi > late_subject > name > pi > $o)).
% 83.64/12.12 thf(func_def_65, type, sP1: (name > pi > late_residual > $o)).
% 83.64/12.12 thf(func_def_66, type, sP2: (name > pi > late_residual > $o)).
% 83.64/12.12 thf(func_def_67, type, sP3: (name > pi > late_subject > name > pi > $o)).
% 83.64/12.12 thf(func_def_68, type, sP4: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > $o))).
% 83.64/12.12 thf(func_def_69, type, sP5: (pi > pi > name > set @ product_prod @ pi @ pi > $o)).
% 83.64/12.12 thf(func_def_70, type, sP6: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > $o))).
% 83.64/12.12 thf(func_def_71, type, sP7: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_72, type, sP8: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_73, type, sP9: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_74, type, sP10: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_75, type, sP11: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_76, type, sP12: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_77, type, sP13: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_78, type, sP14: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_79, type, sP15: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_80, type, sP16: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_81, type, sP17: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_82, type, sP18: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 83.64/12.12 thf(func_def_83, type, sK19: ((pi > $o) > late_freeRes > pi > name > pi)).
% 83.64/12.12 thf(func_def_84, type, sK20: (pi > late_freeRes > pi > name > pi)).
% 83.64/12.12 thf(func_def_85, type, sK21: (pi > late_freeRes > pi > name > late_freeRes)).
% 83.64/12.12 thf(func_def_86, type, sK22: (pi > late_freeRes > pi > name > pi)).
% 83.64/12.12 thf(func_def_87, type, sK23: (pi > late_freeRes > pi > name > name)).
% 83.64/12.12 thf(func_def_88, type, sK24: !>[X0: $tType]:((X0 > name))).
% 83.64/12.12 thf(func_def_89, type, sK25: ((late_residual > $o) > late_freeRes)).
% 83.64/12.12 thf(func_def_90, type, sK26: ((late_residual > $o) > pi)).
% 83.64/12.12 thf(func_def_91, type, sK27: ((late_residual > $o) > late_subject)).
% 83.64/12.12 thf(func_def_92, type, sK28: ((late_residual > $o) > name)).
% 83.64/12.12 thf(func_def_93, type, sK29: ((late_residual > $o) > pi)).
% 83.64/12.12 thf(func_def_94, type, sK30: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 83.64/12.12 thf(func_def_95, type, sK31: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 83.64/12.12 thf(func_def_96, type, sK32: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 83.64/12.12 thf(func_def_97, type, sK33: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 83.64/12.12 thf(func_def_98, type, sK34: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 83.64/12.12 thf(func_def_99, type, sK35: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 83.64/12.12 thf(func_def_100, type, sK36: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 83.64/12.12 thf(func_def_101, type, sK37: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 83.64/12.12 thf(func_def_102, type, sK38: ((late_subject > $o) > name)).
% 83.64/12.12 thf(func_def_103, type, sK39: ((late_subject > $o) > name)).
% 83.64/12.12 thf(func_def_104, type, sK40: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_105, type, sK41: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 83.64/12.12 thf(func_def_106, type, sK42: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 83.64/12.12 thf(func_def_107, type, sK43: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 83.64/12.12 thf(func_def_108, type, sK44: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 83.64/12.12 thf(func_def_109, type, sK45: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 83.64/12.12 thf(func_def_110, type, sK46: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 83.64/12.12 thf(func_def_111, type, sK47: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 83.64/12.12 thf(func_def_112, type, sK48: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 83.64/12.12 thf(func_def_113, type, sK49: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 83.64/12.12 thf(func_def_114, type, sK50: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 83.64/12.12 thf(func_def_115, type, sK51: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 83.64/12.12 thf(func_def_116, type, sK52: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 83.64/12.12 thf(func_def_117, type, sK53: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 83.64/12.12 thf(func_def_118, type, sK54: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 83.64/12.12 thf(func_def_119, type, sK55: ((pi > $o) > name > late_subject > pi > pi > pi)).
% 83.64/12.12 thf(func_def_120, type, sK56: ((pi > $o) > name > late_subject > pi > pi > pi)).
% 83.64/12.12 thf(func_def_121, type, sK57: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 83.64/12.12 thf(func_def_122, type, sK58: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 83.64/12.12 thf(func_def_123, type, sK59: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_124, type, sK60: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_125, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 83.64/12.12 thf(func_def_126, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 83.64/12.12 thf(func_def_127, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 83.64/12.12 thf(func_def_128, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 83.64/12.12 thf(func_def_129, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 83.64/12.12 thf(func_def_130, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 83.64/12.12 thf(func_def_131, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 83.64/12.12 thf(func_def_132, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 83.64/12.12 thf(func_def_133, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 83.64/12.12 thf(func_def_134, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 83.64/12.12 thf(func_def_135, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 83.64/12.12 thf(func_def_136, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 83.64/12.12 thf(func_def_137, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 83.64/12.12 thf(func_def_138, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 83.64/12.12 thf(func_def_139, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 83.64/12.12 thf(func_def_140, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 83.64/12.12 thf(func_def_141, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 83.64/12.12 thf(func_def_142, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 83.64/12.12 thf(func_def_143, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 83.64/12.12 thf(func_def_144, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 83.64/12.12 thf(func_def_145, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 83.64/12.12 thf(func_def_146, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 83.64/12.12 thf(func_def_147, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 83.64/12.12 thf(func_def_148, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 83.64/12.12 thf(func_def_149, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 83.64/12.12 thf(func_def_150, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 83.64/12.12 thf(func_def_151, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_152, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_153, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 83.64/12.12 thf(func_def_154, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 83.64/12.12 thf(func_def_155, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_156, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_157, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 83.64/12.12 thf(func_def_158, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 83.64/12.12 thf(func_def_159, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 83.64/12.12 thf(func_def_160, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_161, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_162, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 83.64/12.12 thf(func_def_163, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 83.64/12.12 thf(func_def_164, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 83.64/12.12 thf(func_def_165, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 83.64/12.12 thf(func_def_166, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_167, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_168, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 83.64/12.12 thf(func_def_169, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 83.64/12.12 thf(func_def_170, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 83.64/12.12 thf(func_def_171, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 83.64/12.12 thf(func_def_172, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 83.64/12.12 thf(func_def_173, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_174, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_175, type, sK111: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 83.64/12.12 thf(func_def_176, type, sK112: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 83.64/12.12 thf(func_def_177, type, sK113: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 83.64/12.12 thf(func_def_178, type, sK114: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 83.64/12.12 thf(func_def_179, type, sK115: (pi > pi > late_subject > name > pi > pi)).
% 83.64/12.12 thf(func_def_180, type, sK116: (pi > pi > late_subject > name > pi > late_subject)).
% 83.64/12.12 thf(func_def_181, type, sK117: (pi > pi > late_subject > name > pi > name)).
% 83.64/12.12 thf(func_def_182, type, sK118: (pi > pi > late_subject > name > pi > pi)).
% 83.64/12.12 thf(func_def_183, type, sK119: (pi > pi > late_subject > name > pi > pi)).
% 83.64/12.12 thf(func_def_184, type, sK120: (pi > name > late_subject > pi > pi > pi)).
% 83.64/12.12 thf(func_def_185, type, sK121: (pi > name > late_subject > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_186, type, sK122: (pi > name > late_subject > pi > pi > name)).
% 83.64/12.12 thf(func_def_187, type, sK123: (pi > name > late_subject > pi > pi > pi)).
% 83.64/12.12 thf(func_def_188, type, sK124: (pi > name > late_subject > pi > pi > pi)).
% 83.64/12.12 thf(func_def_189, type, sK125: (late_subject > name)).
% 83.64/12.12 thf(func_def_190, type, sK126: (late_subject > name)).
% 83.64/12.12 thf(func_def_191, type, sK127: (name > pi > late_residual > pi)).
% 83.64/12.12 thf(func_def_192, type, sK128: (name > pi > late_residual > name)).
% 83.64/12.12 thf(func_def_193, type, sK129: (name > pi > late_residual > name)).
% 83.64/12.12 thf(func_def_194, type, sK130: (name > pi > late_residual > pi)).
% 83.64/12.12 thf(func_def_195, type, sK131: (name > pi > late_residual > pi)).
% 83.64/12.12 thf(func_def_196, type, sK132: (name > pi > late_residual > late_subject)).
% 83.64/12.12 thf(func_def_197, type, sK133: (name > pi > late_residual > name)).
% 83.64/12.12 thf(func_def_198, type, sK134: (name > pi > late_residual > pi)).
% 83.64/12.12 thf(func_def_199, type, sK135: (name > pi > late_residual > name)).
% 83.64/12.12 thf(func_def_200, type, sK136: (late_residual > pi > name > pi)).
% 83.64/12.12 thf(func_def_201, type, sK137: (late_residual > pi > name > late_freeRes)).
% 83.64/12.12 thf(func_def_202, type, sK138: (late_residual > pi > name > pi)).
% 83.64/12.12 thf(func_def_203, type, sK139: (late_residual > pi > name > name)).
% 83.64/12.12 thf(func_def_204, type, sK140: (name > pi > late_subject > name > pi > pi)).
% 83.64/12.12 thf(func_def_205, type, sK141: (name > pi > late_subject > name > pi > late_subject)).
% 83.64/12.12 thf(func_def_206, type, sK142: (name > pi > late_subject > name > pi > name)).
% 83.64/12.12 thf(func_def_207, type, sK143: (name > pi > late_subject > name > pi > pi)).
% 83.64/12.12 thf(func_def_208, type, sK144: (name > pi > late_subject > name > pi > name)).
% 83.64/12.12 thf(func_def_209, type, sK145: (pi > name > late_subject > pi > name > pi)).
% 83.64/12.12 thf(func_def_210, type, sK146: (pi > name > late_subject > pi > name > name)).
% 83.64/12.12 thf(func_def_211, type, sK147: (pi > name > late_subject > pi > name > name)).
% 83.64/12.12 thf(func_def_212, type, sK148: (pi > name > late_subject > pi > name > pi)).
% 83.64/12.12 thf(func_def_213, type, sK149: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 83.64/12.12 thf(func_def_214, type, sK150: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 83.64/12.12 thf(func_def_215, type, sK151: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 83.64/12.12 thf(func_def_216, type, sK152: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 83.64/12.12 thf(func_def_217, type, sK153: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 83.64/12.12 thf(func_def_218, type, sK154: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 83.64/12.12 thf(func_def_219, type, sK155: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 83.64/12.12 thf(func_def_220, type, sK156: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 83.64/12.12 thf(func_def_221, type, sK157: ((late_freeRes > $o) > name)).
% 83.64/12.12 thf(func_def_222, type, sK158: ((late_freeRes > $o) > name)).
% 83.64/12.12 thf(func_def_223, type, sK159: (late_freeRes > name)).
% 83.64/12.12 thf(func_def_224, type, sK160: (late_freeRes > name)).
% 83.64/12.12 thf(func_def_225, type, sK161: (pi > pi > name > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_226, type, sK162: (pi > pi > name > set @ product_prod @ pi @ pi > name)).
% 83.64/12.12 thf(func_def_227, type, sK163: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > pi))).
% 83.64/12.12 thf(func_def_228, type, sK164: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > late_subject))).
% 83.64/12.12 thf(func_def_229, type, sK165: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > name))).
% 83.64/12.12 thf(func_def_230, type, sK166: (pi > name > pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_231, type, sK167: (pi > name > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 83.64/12.12 thf(func_def_232, type, sK168: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_233, type, sK169: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_234, type, sK170: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_235, type, sK171: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_236, type, sK172: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_237, type, sK173: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_238, type, sK174: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_239, type, sK175: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 83.64/12.12 thf(func_def_240, type, sK176: (pi > name > late_subject > set @ product_prod @ pi @ pi > pi > pi)).
% 83.64/12.12 thf(func_def_241, type, sK177: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 83.64/12.12 thf(func_def_242, type, sK178: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 83.64/12.12 thf(func_def_243, type, sK179: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_244, type, sK180: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_245, type, sK181: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 83.64/12.12 thf(func_def_246, type, sK182: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_247, type, sK183: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_248, type, sK184: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_249, type, sK185: (set @ product_prod @ pi @ pi > name)).
% 83.64/12.12 thf(func_def_250, type, sK186: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_251, type, sK187: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_252, type, sK188: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > late_subject))).
% 83.64/12.12 thf(func_def_253, type, sK189: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name))).
% 83.64/12.12 thf(func_def_254, type, sK190: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > pi))).
% 83.64/12.12 thf(func_def_255, type, sK191: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 83.64/12.12 thf(func_def_256, type, sK192: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_257, type, sK193: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_258, type, sK194: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_259, type, sK195: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_260, type, sK196: (set @ product_prod @ pi @ pi > name)).
% 83.64/12.12 thf(func_def_261, type, sK197: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_262, type, sK198: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_263, type, sK199: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_264, type, sK200: (set @ product_prod @ pi @ pi > name)).
% 83.64/12.12 thf(func_def_265, type, sK201: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_266, type, sK202: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_267, type, sK203: (set @ product_prod @ pi @ pi > name)).
% 83.64/12.12 thf(func_def_268, type, sK204: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_269, type, sK205: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_270, type, sK206: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_271, type, sK207: (late_residual > pi > name > name > name)).
% 83.64/12.12 thf(func_def_272, type, sK208: (late_residual > pi > name > name > name)).
% 83.64/12.12 thf(func_def_273, type, sK209: (late_residual > pi > name > name > pi)).
% 83.64/12.12 thf(func_def_274, type, sK210: (late_residual > pi > pi)).
% 83.64/12.12 thf(func_def_275, type, sK211: (late_residual > pi > name > name > name)).
% 83.64/12.12 thf(func_def_276, type, sK212: (late_residual > pi > name > name > name)).
% 83.64/12.12 thf(func_def_277, type, sK213: (late_residual > pi > name > name > pi)).
% 83.64/12.12 thf(func_def_278, type, sK214: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_279, type, sK215: (set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_280, type, sK216: (late_residual > pi > name > name > pi)).
% 83.64/12.12 thf(func_def_281, type, sK217: (late_residual > pi > name > name > name)).
% 83.64/12.12 thf(func_def_282, type, sK218: (late_residual > pi > name > name > name)).
% 83.64/12.12 thf(func_def_283, type, sK219: (late_residual > pi > name > name > pi)).
% 83.64/12.12 thf(func_def_284, type, sK220: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_285, type, sK221: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_286, type, sK222: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_287, type, sK223: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_288, type, sK224: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_289, type, sK225: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_290, type, sK226: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_291, type, sK227: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_292, type, sK228: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_293, type, sK229: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_294, type, sK230: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_295, type, sK231: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_296, type, sK232: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_297, type, sK233: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_298, type, sK234: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_299, type, sK235: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_300, type, sK236: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_301, type, sK237: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_302, type, sK238: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_303, type, sK239: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_304, type, sK240: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_305, type, sK241: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_306, type, sK242: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_307, type, sK243: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_308, type, sK244: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_309, type, sK245: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_310, type, sK246: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_311, type, sK247: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_312, type, sK248: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_313, type, sK249: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_314, type, sK250: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_315, type, sK251: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_316, type, sK252: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_317, type, sK253: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_318, type, sK254: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_319, type, sK255: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_320, type, sK256: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_321, type, sK257: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_322, type, sK258: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_323, type, sK259: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_324, type, sK260: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_325, type, sK261: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_326, type, sK262: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_327, type, sK263: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_328, type, sK264: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_329, type, sK265: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_330, type, sK266: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_331, type, sK267: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_332, type, sK268: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_333, type, sK269: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_334, type, sK270: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_335, type, sK271: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_336, type, sK272: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_337, type, sK273: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_338, type, sK274: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_339, type, sK275: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_340, type, sK276: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 83.64/12.12 thf(func_def_341, type, sK277: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 83.64/12.12 thf(func_def_342, type, sK278: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_343, type, sK279: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 83.64/12.12 thf(func_def_344, type, sK280: (late_residual > pi > pi)).
% 83.64/12.12 thf(func_def_345, type, sK281: (set @ product_prod @ pi @ pi > name > pi > late_subject > pi)).
% 83.64/12.12 thf(func_def_346, type, sK282: (set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_347, type, sK283: (pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_348, type, sK284: (pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_349, type, sK285: (pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 83.64/12.12 thf(func_def_350, type, sK286: (pi > set @ product_prod @ pi @ pi > name)).
% 83.64/12.12 thf(func_def_351, type, sK287: (pi > set @ product_prod @ pi @ pi > late_subject)).
% 83.64/12.12 thf(func_def_352, type, sK288: (pi > set @ product_prod @ pi @ pi > late_subject)).
% 83.64/12.12 thf(func_def_353, type, sK289: (pi > name > set @ product_prod @ pi @ pi > name > pi)).
% 83.64/12.12 thf(func_def_354, type, sK290: (pi > name > set @ product_prod @ pi @ pi > name > pi)).
% 83.64/12.12 thf(func_def_355, type, sK291: (name > name > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 83.64/12.12 thf(func_def_356, type, sK292: (name > pi > set @ product_prod @ pi @ pi > name > name)).
% 83.64/12.12 thf(func_def_357, type, sK293: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 83.64/12.12 thf(func_def_358, type, sK294: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 83.64/12.12 thf(func_def_359, type, sK295: (name > pi > set @ product_prod @ pi @ pi > name > pi)).
% 83.64/12.12 thf(func_def_360, type, sK296: (name > pi > set @ product_prod @ pi @ pi > name > pi)).
% 83.64/12.12 thf(func_def_361, type, sK297: (name > pi > set @ product_prod @ pi @ pi > name > late_freeRes)).
% 83.64/12.12 thf(func_def_362, type, sK298: (name > pi > set @ product_prod @ pi @ pi > name > name)).
% 83.64/12.12 thf(func_def_363, type, sK299: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 83.64/12.12 thf(func_def_364, type, sK300: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 83.64/12.12 thf(func_def_365, type, sK301: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi)).
% 83.64/12.12 thf(func_def_366, type, sK302: (pi > set @ product_prod @ pi @ pi > late_freeRes > pi)).
% 83.64/12.12 thf(func_def_367, type, sK303: (set @ product_prod @ pi @ pi > pi > name > pi > late_subject > pi)).
% 83.64/12.12 thf(func_def_368, type, sK304: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_369, type, sK305: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_370, type, sK306: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 83.64/12.12 thf(func_def_371, type, sK307: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_372, type, sK308: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 83.64/12.12 thf(func_def_373, type, sK309: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_374, type, sK310: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_375, type, sK311: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_376, type, sK312: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_377, type, sK313: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_378, type, sK314: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_379, type, sK315: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_380, type, sK316: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_381, type, sK317: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_382, type, sK318: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_383, type, sK319: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_384, type, sK320: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_385, type, sK321: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_386, type, sK322: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_387, type, sK323: (pi > pi > set @ product_prod @ pi @ pi > name > pi > late_subject > pi > pi)).
% 83.64/12.12 thf(func_def_388, type, sK324: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(func_def_389, type, sK325: (set @ product_prod @ pi @ pi > pi > late_subject > name > pi > pi)).
% 83.64/12.12 thf(func_def_390, type, sK326: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_391, type, sK327: (set @ product_prod @ pi @ pi > pi > pi > late_subject > name > pi)).
% 83.64/12.12 thf(func_def_392, type, sK328: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes > pi)).
% 83.64/12.12 thf(func_def_393, type, sK329: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 83.64/12.12 thf(func_def_394, type, sK330: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_395, type, sK331: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 83.64/12.12 thf(func_def_396, type, sK332: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_397, type, sK333: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_398, type, sK334: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_399, type, sK335: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_400, type, sK336: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_401, type, sK337: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_402, type, sK338: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_403, type, sK339: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_404, type, sK340: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_405, type, sK341: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_406, type, sK342: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_407, type, sK343: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_408, type, sK344: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 83.64/12.12 thf(func_def_409, type, sK345: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_410, type, sK346: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_411, type, sK347: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 83.64/12.12 thf(func_def_412, type, sK348: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 83.64/12.12 thf(func_def_413, type, sK349: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_414, type, sK350: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_415, type, sK351: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_416, type, sK352: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_417, type, sK353: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 83.64/12.12 thf(func_def_418, type, sK354: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 83.64/12.12 thf(func_def_419, type, sK355: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_420, type, sK356: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_421, type, sK357: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_422, type, sK358: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_423, type, sK359: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 83.64/12.12 thf(func_def_424, type, sK360: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 83.64/12.12 thf(func_def_425, type, sK361: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_426, type, sK362: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_427, type, sK363: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_428, type, sK364: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 83.64/12.12 thf(func_def_429, type, sK365: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 83.64/12.12 thf(func_def_430, type, sK366: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 83.64/12.12 thf(func_def_431, type, sK367: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_432, type, sK368: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 83.64/12.12 thf(func_def_433, type, sK369: (set @ product_prod @ pi @ pi > late_subject > pi > name > pi > pi)).
% 83.64/12.12 thf(func_def_434, type, sK370: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_435, type, sK371: (set @ product_prod @ pi @ pi > late_subject > pi > name > pi > pi)).
% 83.64/12.12 thf(func_def_436, type, sK372: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 83.64/12.12 thf(func_def_437, type, sK373: (set @ product_prod @ pi @ pi > name > late_subject > pi > pi > pi)).
% 83.64/12.12 thf(func_def_438, type, sK374: (set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 83.64/12.12 thf(f4,axiom,(
% 83.64/12.12 (fresh @ name @ pi @ x @ p)),
% 83.64/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_assms_I1_J)).
% 83.64/12.12 thf(f9,axiom,(
% 83.64/12.12 (late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2))),
% 83.64/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_cClose1_Ohyps_I1_J)).
% 83.64/12.12 thf(f76,axiom,(
% 83.64/12.12 ! [X0 : pi,X1 : late_subject,X2 : name,X3 : pi,X4 : name] : ((late_transitions @ X0 @ (late_BoundR @ X1 @ X2 @ X3)) => ((fresh @ name @ pi @ X4 @ X0) => (fresh @ name @ late_subject @ X4 @ X1)))),
% 83.64/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_freshBoundDerivative_I1_J)).
% 83.64/12.12 thf(f180,axiom,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi] : (late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ (late_InputS @ X0) @ X1 @ X2))),
% 83.64/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_Late__Semantics_OInput)).
% 83.64/12.12 thf(f183,axiom,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi,X3 : late_subject,X4 : name,X5 : pi] : ((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ X3 @ X4 @ X5)) => ~(fresh @ name @ late_subject @ X0 @ X3))),
% 83.64/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_inputIneqTrans)).
% 83.64/12.12 thf(f267,conjecture,(
% 83.64/12.12 (x != aa)),
% 83.64/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 83.64/12.12 thf(f268,negated_conjecture,(
% 83.64/12.12 ~ (x != aa)),
% 83.64/12.12 inference(negated_conjecture,[status(cth)],[f267])).
% 83.64/12.12 thf(f273,plain,(
% 83.64/12.12 (fresh @ name @ pi @ x @ p)),
% 83.64/12.12 inference(rectify,[],[f4])).
% 83.64/12.12 thf(f274,plain,(
% 83.64/12.12 (((fresh @ name @ pi @ x @ p)) = $true)),
% 83.64/12.12 inference(fool_elimination,[],[f273])).
% 83.64/12.12 thf(f281,plain,(
% 83.64/12.12 (late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2))),
% 83.64/12.12 inference(rectify,[],[f9])).
% 83.64/12.12 thf(f282,plain,(
% 83.64/12.12 (((late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2))) = $true)),
% 83.64/12.12 inference(fool_elimination,[],[f281])).
% 83.64/12.12 thf(f383,plain,(
% 83.64/12.12 ! [X0 : pi,X1 : late_subject,X2 : name,X3 : pi,X4 : name] : ((late_transitions @ X0 @ (late_BoundR @ X1 @ X2 @ X3)) => ((fresh @ name @ pi @ X4 @ X0) => (fresh @ name @ late_subject @ X4 @ X1)))),
% 83.64/12.12 inference(rectify,[],[f76])).
% 83.64/12.12 thf(f384,plain,(
% 83.64/12.12 ! [X0 : pi,X1 : late_subject,X2 : name,X3 : pi,X4 : name] : ((((late_transitions @ X0 @ (late_BoundR @ X1 @ X2 @ X3))) = $true) => ((((fresh @ name @ pi @ X4 @ X0)) = $true) => (((fresh @ name @ late_subject @ X4 @ X1)) = $true)))),
% 83.64/12.12 inference(fool_elimination,[],[f383])).
% 83.64/12.12 thf(f523,plain,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi] : (late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ (late_InputS @ X0) @ X1 @ X2))),
% 83.64/12.12 inference(rectify,[],[f180])).
% 83.64/12.12 thf(f524,plain,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi] : (((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ (late_InputS @ X0) @ X1 @ X2))) = $true)),
% 83.64/12.12 inference(fool_elimination,[],[f523])).
% 83.64/12.12 thf(f529,plain,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi,X3 : late_subject,X4 : name,X5 : pi] : ((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ X3 @ X4 @ X5)) => ~(fresh @ name @ late_subject @ X0 @ X3))),
% 83.64/12.12 inference(rectify,[],[f183])).
% 83.64/12.12 thf(f530,plain,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi,X3 : late_subject,X4 : name,X5 : pi] : ((((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ X3 @ X4 @ X5))) = $true) => ~ (((fresh @ name @ late_subject @ X0 @ X3)) = $true))),
% 83.64/12.12 inference(fool_elimination,[],[f529])).
% 83.64/12.12 thf(f636,plain,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi,X3 : late_subject,X4 : name,X5 : pi] : ((((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ X3 @ X4 @ X5))) = $true) => (((fresh @ name @ late_subject @ X0 @ X3)) != $true))),
% 83.64/12.12 inference(flattening,[],[f530])).
% 83.64/12.12 thf(f648,plain,(
% 83.64/12.12 (x = aa)),
% 83.64/12.12 inference(flattening,[],[f268])).
% 83.64/12.12 thf(f706,plain,(
% 83.64/12.12 ! [X0 : pi,X1 : late_subject,X2 : name,X3 : pi,X4 : name] : (((((fresh @ name @ late_subject @ X4 @ X1)) = $true) | (((fresh @ name @ pi @ X4 @ X0)) != $true)) | (((late_transitions @ X0 @ (late_BoundR @ X1 @ X2 @ X3))) != $true))),
% 83.64/12.12 inference(ennf_transformation,[],[f384])).
% 83.64/12.12 thf(f707,plain,(
% 83.64/12.12 ! [X0 : pi,X1 : late_subject,X2 : name,X3 : pi,X4 : name] : ((((fresh @ name @ late_subject @ X4 @ X1)) = $true) | (((fresh @ name @ pi @ X4 @ X0)) != $true) | (((late_transitions @ X0 @ (late_BoundR @ X1 @ X2 @ X3))) != $true))),
% 83.64/12.12 inference(flattening,[],[f706])).
% 83.64/12.12 thf(f794,plain,(
% 83.64/12.12 ! [X0 : name,X1 : name,X2 : pi,X3 : late_subject,X4 : name,X5 : pi] : ((((fresh @ name @ late_subject @ X0 @ X3)) != $true) | (((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ X3 @ X4 @ X5))) != $true))),
% 83.64/12.12 inference(ennf_transformation,[],[f636])).
% 83.64/12.12 thf(f985,plain,(
% 83.64/12.12 (((fresh @ name @ pi @ x @ p)) = $true)),
% 83.64/12.12 inference(cnf_transformation,[],[f274])).
% 83.64/12.12 thf(f990,plain,(
% 83.64/12.12 (((late_transitions @ p @ (late_BoundR @ (late_InputS @ aa) @ y @ p2))) = $true)),
% 83.64/12.12 inference(cnf_transformation,[],[f282])).
% 83.64/12.12 thf(f1069,plain,(
% 83.64/12.12 ( ! [X2 : name,X3 : pi,X0 : pi,X1 : late_subject,X4 : name] : ((((fresh @ name @ pi @ X4 @ X0)) != $true) | (((fresh @ name @ late_subject @ X4 @ X1)) = $true) | (((late_transitions @ X0 @ (late_BoundR @ X1 @ X2 @ X3))) != $true)) )),
% 83.64/12.12 inference(cnf_transformation,[],[f707])).
% 83.64/12.12 thf(f1254,plain,(
% 83.64/12.12 ( ! [X2 : pi,X0 : name,X1 : name] : ((((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ (late_InputS @ X0) @ X1 @ X2))) = $true)) )),
% 83.64/12.12 inference(cnf_transformation,[],[f524])).
% 83.64/12.12 thf(f1257,plain,(
% 83.64/12.12 ( ! [X2 : pi,X3 : late_subject,X0 : name,X1 : name,X4 : name,X5 : pi] : ((((fresh @ name @ late_subject @ X0 @ X3)) != $true) | (((late_transitions @ (input @ X0 @ X1 @ X2) @ (late_BoundR @ X3 @ X4 @ X5))) != $true)) )),
% 83.64/12.12 inference(cnf_transformation,[],[f794])).
% 83.64/12.12 thf(f1400,plain,(
% 83.64/12.12 (x = aa)),
% 83.64/12.12 inference(cnf_transformation,[],[f648])).
% 83.64/12.12 thf(f1403,plain,(
% 83.64/12.12 ($true = ((fresh @ name @ pi @ aa @ p)))),
% 83.64/12.12 inference(definition_unfolding,[],[f985,f1400])).
% 83.64/12.12 thf(f56533,plain,(
% 83.64/12.12 ( ! [X2 : pi,X0 : late_subject,X1 : name] : (($true != $true) | ($true = ((fresh @ name @ late_subject @ aa @ X0))) | ($true != ((late_transitions @ p @ (late_BoundR @ X0 @ X1 @ X2))))) )),
% 83.64/12.12 inference(constrained_superposition,[],[f1069,f1403])).
% 83.64/12.12 thf(f56680,plain,(
% 83.64/12.12 ( ! [X2 : pi,X0 : late_subject,X1 : name] : (($true != ((late_transitions @ p @ (late_BoundR @ X0 @ X1 @ X2)))) | ($true = ((fresh @ name @ late_subject @ aa @ X0)))) )),
% 83.64/12.12 inference(trivial_inequality_removal,[],[f56533])).
% 83.64/12.12 thf(f56733,plain,(
% 83.64/12.12 ($true != $true) | ($true = ((fresh @ name @ late_subject @ aa @ (late_InputS @ aa))))),
% 83.64/12.12 inference(constrained_superposition,[],[f56680,f990])).
% 83.64/12.12 thf(f56734,plain,(
% 83.64/12.12 ($true = ((fresh @ name @ late_subject @ aa @ (late_InputS @ aa))))),
% 83.64/12.12 inference(trivial_inequality_removal,[],[f56733])).
% 83.64/12.12 thf(f59544,plain,(
% 83.64/12.12 ( ! [X2 : name,X3 : pi,X0 : name,X1 : pi] : (($true != $true) | ($true != ((late_transitions @ (input @ aa @ X0 @ X1) @ (late_BoundR @ (late_InputS @ aa) @ X2 @ X3))))) )),
% 83.64/12.12 inference(constrained_superposition,[],[f1257,f56734])).
% 83.64/12.12 thf(f59545,plain,(
% 83.64/12.12 ( ! [X2 : name,X3 : pi,X0 : name,X1 : pi] : (($true != ((late_transitions @ (input @ aa @ X0 @ X1) @ (late_BoundR @ (late_InputS @ aa) @ X2 @ X3))))) )),
% 83.64/12.12 inference(trivial_inequality_removal,[],[f59544])).
% 83.64/12.12 thf(f69916,plain,(
% 83.64/12.12 ($true != $true)),
% 83.64/12.12 inference(constrained_superposition,[],[f59545,f1254])).
% 83.64/12.12 thf(f69917,plain,(
% 83.64/12.12 $false),
% 83.64/12.12 inference(trivial_inequality_removal,[],[f69916])).
% 83.64/12.12 % SZS output end Proof for theBenchmark
% 83.64/12.12 % (3868211)------------------------------
% 83.64/12.12 % (3868211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.64/12.12 % (3868211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.64/12.12 % (3868211)CaDiCaL version: 2.1.3
% 83.64/12.12 % (3868211)Termination reason: Refutation
% 83.64/12.12 % (3868211)Time elapsed: 6.971 s
% 83.64/12.12 % (3868211)Peak memory usage: 57 MB
% 83.64/12.12 % (3868211)Instructions burned: 14632 (million)
% 83.64/12.12 % (3868016)Success in time 11.896 s
% 83.64/12.12 % Vampire exiting
%------------------------------------------------------------------------------