%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP047^2 : 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 : n002.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 08:10:30 AM UTC 2026
% Result : Theorem 24.67s 5.60s
% Output : Refutation 24.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP047^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n002.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 19:44:37 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 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
% 7.30/1.41 % (1754444)Will run a generic schedule for satisfiability detection.
% 7.30/1.41 % (1754453)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1134974396:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.30/1.41 % (1754450)% WARNING: option uhcvi not known.
% 7.30/1.41 % (1754449)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3425203731_2999 on theBenchmark for (2999ds/0Mi)
% 7.30/1.41 % (1754450)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1694936241:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.30/1.41 % (1754451)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1438764172:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.30/1.41 % (1754452)dis+10_1_sil=32000:sp=arity:random_seed=2520043568:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.30/1.41 % (1754454)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1063069240:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.30/1.41 % (1754455)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1484355107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.30/1.41 % (1754453)Instruction limit reached!
% 7.30/1.41 % (1754453)------------------------------
% 7.30/1.41 % (1754453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.41 % (1754453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.41 % (1754453)CaDiCaL version: 2.1.3
% 7.30/1.41 % (1754453)Termination reason: Instruction limit
% 7.30/1.41 % (1754453)Termination phase: Initialization
% 7.30/1.41 % (1754453)Time elapsed: 0.024 s
% 7.30/1.41 % (1754453)Peak memory usage: 11 MB
% 7.30/1.41 % (1754453)Instructions burned: 121 (million)
% 7.30/1.41 % (1754463)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1342610963:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.30/1.41 % (1754452)Instruction limit reached!
% 7.30/1.41 % (1754452)------------------------------
% 7.30/1.41 % (1754452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.41 % (1754452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.41 % (1754452)CaDiCaL version: 2.1.3
% 7.30/1.41 % (1754452)Termination reason: Instruction limit
% 7.30/1.41 % (1754452)Termination phase: Initialization
% 7.30/1.41 % (1754452)Time elapsed: 0.041 s
% 7.30/1.41 % (1754452)Peak memory usage: 11 MB
% 7.30/1.41 % (1754452)Instructions burned: 111 (million)
% 7.30/1.41 % (1754465)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1309408160:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.30/1.41 % (1754455)Instruction limit reached!
% 7.30/1.41 % (1754455)------------------------------
% 7.30/1.41 % (1754455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.41 % (1754455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.41 % (1754455)CaDiCaL version: 2.1.3
% 7.30/1.41 % (1754455)Termination reason: Instruction limit
% 7.30/1.41 % (1754455)Termination phase: Property scanning
% 7.30/1.41 % (1754455)Time elapsed: 0.060 s
% 7.30/1.41 % (1754455)Peak memory usage: 12 MB
% 7.30/1.41 % (1754455)Instructions burned: 159 (million)
% 7.30/1.41 % (1754450)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.30/1.41 % (1754454)Instruction limit reached!
% 7.30/1.41 % (1754454)------------------------------
% 7.30/1.41 % (1754454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.41 % (1754454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.41 % (1754454)CaDiCaL version: 2.1.3
% 7.30/1.41 % (1754454)Termination reason: Instruction limit
% 7.30/1.41 % (1754454)Termination phase: Initialization
% 7.30/1.41 % (1754454)Time elapsed: 0.070 s
% 7.30/1.41 % (1754454)Peak memory usage: 11 MB
% 7.30/1.41 % (1754454)Instructions burned: 132 (million)
% 7.30/1.41 % (1754467)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=3324089713:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.30/1.41 % (1754468)ott-21_1_sil=16000:fs=off:random_seed=4177917648:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.30/1.41 % Exception at run slice level
% 7.30/1.41 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.30/1.41 % (1754465)Instruction limit reached!
% 20.80/3.25 % (1754465)------------------------------
% 20.80/3.25 % (1754465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.25 % (1754465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.25 % (1754465)CaDiCaL version: 2.1.3
% 20.80/3.25 % (1754465)Termination reason: Instruction limit
% 20.80/3.25 % (1754465)Termination phase: Initialization
% 20.80/3.25 % (1754465)Time elapsed: 0.049 s
% 20.80/3.25 % (1754465)Peak memory usage: 11 MB
% 20.80/3.25 % (1754465)Instructions burned: 132 (million)
% 20.80/3.25 % (1754471)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=784209853:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.80/3.25 % (1754472)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2497828426:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.80/3.25 % (1754467)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.80/3.25 % Exception at run slice level
% 20.80/3.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.80/3.25 % (1754468)Instruction limit reached!
% 20.80/3.25 % (1754468)------------------------------
% 20.80/3.25 % (1754468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.25 % (1754468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.25 % (1754468)CaDiCaL version: 2.1.3
% 20.80/3.25 % (1754468)Termination reason: Instruction limit
% 20.80/3.25 % (1754468)Termination phase: Preprocessing 1
% 20.80/3.25 % (1754468)Time elapsed: 0.094 s
% 20.80/3.25 % (1754468)Peak memory usage: 12 MB
% 20.80/3.25 % (1754468)Instructions burned: 181 (million)
% 20.80/3.25 % (1754450)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.80/3.25 % (1754475)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1809603982:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 20.80/3.25 % (1754476)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1794523120:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 20.80/3.25 % (1754471)Instruction limit reached!
% 20.80/3.25 % (1754471)------------------------------
% 20.80/3.25 % (1754471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.25 % (1754471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.25 % (1754471)CaDiCaL version: 2.1.3
% 20.80/3.25 % (1754471)Termination reason: Instruction limit
% 20.80/3.25 % (1754471)Termination phase: Saturation
% 20.80/3.25 % (1754471)Time elapsed: 0.099 s
% 20.80/3.25 % (1754471)Peak memory usage: 14 MB
% 20.80/3.25 % (1754471)Instructions burned: 480 (million)
% 20.80/3.25 % (1754480)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=3495714203:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 20.80/3.25 % (1754467)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.80/3.25 % Exception at run slice level
% 20.80/3.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.80/3.25 % (1754480)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.80/3.25 % (1754483)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1151713483:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 20.80/3.25 % (1754467)Instruction limit reached!
% 20.80/3.25 % (1754467)------------------------------
% 20.80/3.25 % (1754467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.25 % (1754467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.25 % (1754467)CaDiCaL version: 2.1.3
% 20.80/3.25 % (1754467)Termination reason: Instruction limit
% 20.80/3.25 % (1754467)Termination phase: Saturation
% 20.80/3.25 % (1754467)Time elapsed: 0.275 s
% 20.80/3.25 % (1754467)Peak memory usage: 16 MB
% 20.80/3.25 % (1754467)Instructions burned: 686 (million)
% 20.80/3.25 % (1754491)fmb+10_1_sil=64000:random_seed=1156214950:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 20.80/3.25 % (1754483)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.80/3.25 % (1754480)Instruction limit reached!
% 20.80/3.25 % (1754480)------------------------------
% 20.80/3.25 % (1754480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.87/5.60 % (1754480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.87/5.60 % (1754480)CaDiCaL version: 2.1.3
% 36.87/5.60 % (1754480)Termination reason: Instruction limit
% 36.87/5.60 % (1754480)Termination phase: Saturation
% 36.87/5.60 % (1754480)Time elapsed: 0.181 s
% 36.87/5.60 % (1754480)Peak memory usage: 17 MB
% 36.87/5.60 % (1754480)Instructions burned: 697 (million)
% 36.87/5.60 % (1754499)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2021687117:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 36.87/5.60 % (1754491)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 36.87/5.60 % Exception at run slice level
% 36.87/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.87/5.60 % Exception at run slice level
% 36.87/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 36.87/5.60 % (1754501)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=229730991:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 36.87/5.60 % (1754502)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3359775159:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754505)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1402152659:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 24.67/5.60 % (1754502)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 24.67/5.60 % (1754483)Instruction limit reached!
% 24.67/5.60 % (1754483)------------------------------
% 24.67/5.60 % (1754483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754483)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754483)Termination reason: Instruction limit
% 24.67/5.60 % (1754483)Termination phase: Saturation
% 24.67/5.60 % (1754483)Time elapsed: 0.349 s
% 24.67/5.60 % (1754483)Peak memory usage: 17 MB
% 24.67/5.60 % (1754483)Instructions burned: 880 (million)
% 24.67/5.60 % (1754505)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 24.67/5.60 % (1754507)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=824904095:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 24.67/5.60 % (1754505)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754509)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1871875594:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 24.67/5.60 % (1754475)Instruction limit reached!
% 24.67/5.60 % (1754475)------------------------------
% 24.67/5.60 % (1754475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754475)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754475)Termination reason: Instruction limit
% 24.67/5.60 % (1754475)Termination phase: Saturation
% 24.67/5.60 % (1754475)Time elapsed: 0.554 s
% 24.67/5.60 % (1754475)Peak memory usage: 17 MB
% 24.67/5.60 % (1754475)Instructions burned: 1180 (million)
% 24.67/5.60 % (1754511)ott-2_1_sil=16000:newcnf=on:random_seed=62311470:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 24.67/5.60 % (1754511)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754513)ott+10_1_sil=32000:tgt=ground:random_seed=2554634429:i=5114:av=off_2990 on theBenchmark for (2990ds/5114Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754515)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3582804357:i=54282_2990 on theBenchmark for (2990ds/54282Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754511)Instruction limit reached!
% 24.67/5.60 % (1754511)------------------------------
% 24.67/5.60 % (1754511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754511)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754511)Termination reason: Instruction limit
% 24.67/5.60 % (1754511)Termination phase: Saturation
% 24.67/5.60 % (1754511)Time elapsed: 0.350 s
% 24.67/5.60 % (1754511)Peak memory usage: 17 MB
% 24.67/5.60 % (1754511)Instructions burned: 869 (million)
% 24.67/5.60 % (1754517)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2723862202:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 24.67/5.60 % (1754518)dis+21_1_sil=32000:sas=cadical:random_seed=2168383372:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 24.67/5.60 % (1754505)Instruction limit reached!
% 24.67/5.60 % (1754505)------------------------------
% 24.67/5.60 % (1754505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754505)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754505)Termination reason: Instruction limit
% 24.67/5.60 % (1754505)Termination phase: Saturation
% 24.67/5.60 % (1754505)Time elapsed: 0.613 s
% 24.67/5.60 % (1754505)Peak memory usage: 21 MB
% 24.67/5.60 % (1754505)Instructions burned: 1474 (million)
% 24.67/5.60 % (1754521)ott+11_1_sil=16000:gs=on:random_seed=813017053:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 24.67/5.60 % (1754517)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.67/5.60 % (1754521)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.67/5.60 % (1754502)Instruction limit reached!
% 24.67/5.60 % (1754502)------------------------------
% 24.67/5.60 % (1754502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754502)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754502)Termination reason: Instruction limit
% 24.67/5.60 % (1754502)Termination phase: Saturation
% 24.67/5.60 % (1754502)Time elapsed: 1.317 s
% 24.67/5.60 % (1754502)Peak memory usage: 40 MB
% 24.67/5.60 % (1754502)Instructions burned: 5133 (million)
% 24.67/5.60 % (1754523)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1118715532:fmbsr=1.6:i=67534_2980 on theBenchmark for (2980ds/67534Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754527)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=840132595:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2979 on theBenchmark for (2979ds/4591Mi)
% 24.67/5.60 % (1754521)Instruction limit reached!
% 24.67/5.60 % (1754521)------------------------------
% 24.67/5.60 % (1754521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754521)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754521)Termination reason: Instruction limit
% 24.67/5.60 % (1754521)Termination phase: Saturation
% 24.67/5.60 % (1754521)Time elapsed: 0.940 s
% 24.67/5.60 % (1754521)Peak memory usage: 23 MB
% 24.67/5.60 % (1754521)Instructions burned: 2253 (million)
% 24.67/5.60 % (1754541)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=842940208:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 24.67/5.60 % (1754517)Instruction limit reached!
% 24.67/5.60 % (1754517)------------------------------
% 24.67/5.60 % (1754517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754517)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754517)Termination reason: Instruction limit
% 24.67/5.60 % (1754517)Termination phase: Saturation
% 24.67/5.60 % (1754517)Time elapsed: 1.537 s
% 24.67/5.60 % (1754517)Peak memory usage: 28 MB
% 24.67/5.60 % (1754517)Instructions burned: 3513 (million)
% 24.67/5.60 % (1754543)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4156791242:i=5211_2972 on theBenchmark for (2972ds/5211Mi)
% 24.67/5.60 % (1754518)Instruction limit reached!
% 24.67/5.60 % (1754518)------------------------------
% 24.67/5.60 % (1754518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754518)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754518)Termination reason: Instruction limit
% 24.67/5.60 % (1754518)Termination phase: Saturation
% 24.67/5.60 % (1754518)Time elapsed: 1.802 s
% 24.67/5.60 % (1754518)Peak memory usage: 29 MB
% 24.67/5.60 % (1754518)Instructions burned: 3775 (million)
% 24.67/5.60 % (1754545)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2413351265:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 24.67/5.60 % (1754513)Instruction limit reached!
% 24.67/5.60 % (1754513)------------------------------
% 24.67/5.60 % (1754513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754513)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754513)Termination reason: Instruction limit
% 24.67/5.60 % (1754513)Termination phase: Saturation
% 24.67/5.60 % (1754513)Time elapsed: 2.099 s
% 24.67/5.60 % (1754513)Peak memory usage: 44 MB
% 24.67/5.60 % (1754513)Instructions burned: 5116 (million)
% 24.67/5.60 % (1754527)Instruction limit reached!
% 24.67/5.60 % (1754527)------------------------------
% 24.67/5.60 % (1754527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754527)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754527)Termination reason: Instruction limit
% 24.67/5.60 % (1754527)Termination phase: Saturation
% 24.67/5.60 % (1754527)Time elapsed: 1.022 s
% 24.67/5.60 % (1754527)Peak memory usage: 37 MB
% 24.67/5.60 % (1754527)Instructions burned: 4592 (million)
% 24.67/5.60 % (1754547)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1503894972:fmbsr=2:i=46332_2969 on theBenchmark for (2969ds/46332Mi)
% 24.67/5.60 % (1754548)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=76579381:i=14071_2969 on theBenchmark for (2969ds/14071Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754551)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3425672646:i=22565:add=on:rawr=on_2968 on theBenchmark for (2968ds/22565Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754553)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1164981802:i=8173:av=off_2967 on theBenchmark for (2967ds/8173Mi)
% 24.67/5.60 % Exception at run slice level
% 24.67/5.60 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.67/5.60 % (1754555)dis+10_16:1_sil=16000:random_seed=1162507195:i=9155:fsr=off_2966 on theBenchmark for (2966ds/9155Mi)
% 24.67/5.60 % (1754543)Instruction limit reached!
% 24.67/5.60 % (1754543)------------------------------
% 24.67/5.60 % (1754543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754543)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754543)Termination reason: Instruction limit
% 24.67/5.60 % (1754543)Termination phase: Saturation
% 24.67/5.60 % (1754543)Time elapsed: 2.274 s
% 24.67/5.60 % (1754543)Peak memory usage: 35 MB
% 24.67/5.60 % (1754543)Instructions burned: 5211 (million)
% 24.67/5.60 % (1754571)ott-3_8_sil=64000:random_seed=2867884870:i=20139:bs=on_2949 on theBenchmark for (2949ds/20139Mi)
% 24.67/5.60 % (1754450) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1754444-1754450"...
% 24.67/5.60 % (1754450)...printing done.
% 24.67/5.60 % (1754450)Refutation found. Thanks to Tanya!
% 24.67/5.60 % SZS status Theorem for theBenchmark
% 24.67/5.60 % SZS output start Proof for theBenchmark
% 24.67/5.60 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 24.67/5.60 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 24.67/5.60 thf(type_def_7, type, option: $tType > $tType).
% 24.67/5.60 thf(type_def_8, type, const: $tType).
% 24.67/5.60 thf(type_def_9, type, cntxt: ($tType * $tType * $tType) > $tType).
% 24.67/5.60 thf(type_def_10, type, expr: ($tType * $tType * $tType) > $tType).
% 24.67/5.60 thf(type_def_11, type, val: ($tType * $tType * $tType) > $tType).
% 24.67/5.60 thf(type_def_12, type, set: $tType > $tType).
% 24.67/5.60 thf(type_def_13, type, v: $tType).
% 24.67/5.60 thf(type_def_14, type, r: $tType).
% 24.67/5.60 thf(type_def_15, type, l: $tType).
% 24.67/5.60 thf(type_def_16, type, sTfun: ($tType * $tType) > $tType).
% 24.67/5.60 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 24.67/5.60 thf(func_def_1, type, order: !>[X0: $tType]:($o)).
% 24.67/5.60 thf(func_def_2, type, finite_finite: !>[X0: $tType]:($o)).
% 24.67/5.60 thf(func_def_3, type, semiring_char_0: !>[X0: $tType]:($o)).
% 24.67/5.60 thf(func_def_4, type, lID_expression: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2))).
% 24.67/5.60 thf(func_def_5, type, lID_local_store: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2))).
% 24.67/5.60 thf(func_def_6, type, lID_snapshot: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2))).
% 24.67/5.60 thf(func_def_7, type, combine: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1))).
% 24.67/5.60 thf(func_def_8, type, unit: const).
% 24.67/5.60 thf(func_def_9, type, ref: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_10, type, rfork: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_11, type, rjoin: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_12, type, ve: !>[X0: $tType, X1: $tType, X2: $tType]:((val @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_13, type, plug: !>[X0: $tType, X1: $tType, X2: $tType]:((cntxt @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_14, type, cv: !>[X0: $tType, X1: $tType, X2: $tType]:((const > val @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_15, type, loc: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > val @ X1 @ X0 @ X2))).
% 24.67/5.60 thf(func_def_16, type, rid: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > val @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_17, type, execution: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > expr @ X0 @ X1 @ X2 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_18, type, inductive_invariant: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > ((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o) > $o))).
% 24.67/5.60 thf(func_def_19, type, reachable: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_20, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 24.67/5.60 thf(func_def_21, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 24.67/5.60 thf(func_def_22, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 24.67/5.60 thf(func_def_23, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 24.67/5.60 thf(func_def_24, type, map_comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ X1) > (X2 > option @ X0) > X2 > option @ X1))).
% 24.67/5.60 thf(func_def_25, type, lID_G: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > set @ X1))).
% 24.67/5.60 thf(func_def_26, type, lID_L: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > set @ X0))).
% 24.67/5.60 thf(func_def_27, type, rID_G: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > set @ X0))).
% 24.67/5.60 thf(func_def_28, type, rID_L: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > set @ X1))).
% 24.67/5.60 thf(func_def_29, type, domains_subsume: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > $o))).
% 24.67/5.60 thf(func_def_30, type, domain398919503obally: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_31, type, revision_step: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_32, type, revisi1433015572elaxed: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_33, type, subsumes_accessible: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_34, type, subsum380726323obally: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_35, type, none: !>[X0: $tType]:(option @ X0)).
% 24.67/5.60 thf(func_def_36, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 24.67/5.60 thf(func_def_37, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 24.67/5.60 thf(func_def_38, type, top_top: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_39, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 24.67/5.60 thf(func_def_40, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 24.67/5.60 thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 24.67/5.60 thf(func_def_42, type, r_G: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X0) > (X1 > X1) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_43, type, r_L: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X0) > (X1 > X1) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2 > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_44, type, eq_states: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_45, type, is_global_renaming: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X0) > (X1 > X1) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 24.67/5.60 thf(func_def_47, type, substitution: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > $o))).
% 24.67/5.60 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 24.67/5.60 thf(func_def_49, type, e: cntxt @ r @ l @ v).
% 24.67/5.60 thf(func_def_50, type, alpha: (r > r)).
% 24.67/5.60 thf(func_def_51, type, beta: (l > l)).
% 24.67/5.60 thf(func_def_52, type, sigma: (l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_53, type, tau: (l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_54, type, e2: expr @ r @ l @ v).
% 24.67/5.60 thf(func_def_55, type, r2: r).
% 24.67/5.60 thf(func_def_56, type, r3: r).
% 24.67/5.60 thf(func_def_57, type, s: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_58, type, s2: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_59, type, subst: (expr @ r @ l @ v > v > expr @ r @ l @ v > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 24.67/5.60 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_63, type, db0: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_66, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 24.67/5.60 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 24.67/5.60 thf(func_def_70, type, vOR: ($o > $o > $o)).
% 24.67/5.60 thf(func_def_71, type, vNOT: ($o > $o)).
% 24.67/5.60 thf(func_def_72, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 24.67/5.60 thf(func_def_73, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 24.67/5.60 thf(func_def_74, type, vIMP: ($o > $o > $o)).
% 24.67/5.60 thf(func_def_75, type, db4: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_76, type, sP0: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 24.67/5.60 thf(func_def_77, type, sP1: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > $o)).
% 24.67/5.60 thf(func_def_78, type, sP2: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > $o))).
% 24.67/5.60 thf(func_def_79, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_80, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_81, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_82, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_83, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_84, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > expr @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_85, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X1 > X1))).
% 24.67/5.60 thf(func_def_86, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > X2))).
% 24.67/5.60 thf(func_def_87, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_88, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_89, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > expr @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_90, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X2 > X2))).
% 24.67/5.60 thf(func_def_91, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > X1))).
% 24.67/5.60 thf(func_def_92, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_93, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_94, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_95, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X0 > X0))).
% 24.67/5.60 thf(func_def_96, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X2 > X2))).
% 24.67/5.60 thf(func_def_97, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X2 > option @ val @ X0 @ X2 @ X1))).
% 24.67/5.60 thf(func_def_98, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X2))).
% 24.67/5.60 thf(func_def_99, type, sK23: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 24.67/5.60 thf(func_def_100, type, sK24: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_101, type, sK25: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 24.67/5.60 thf(func_def_102, type, sK26: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 24.67/5.60 thf(func_def_103, type, sK27: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 24.67/5.60 thf(func_def_104, type, sK28: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_105, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 24.67/5.60 thf(func_def_106, type, sK30: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 24.67/5.60 thf(func_def_107, type, sK31: !>[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))).
% 24.67/5.60 thf(func_def_108, type, sK32: !>[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))).
% 24.67/5.60 thf(func_def_109, type, sK33: !>[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))).
% 24.67/5.60 thf(func_def_110, type, sK34: !>[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))).
% 24.67/5.60 thf(func_def_111, type, sK35: !>[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))).
% 24.67/5.60 thf(func_def_112, type, sK36: !>[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))).
% 24.67/5.60 thf(func_def_113, type, sK37: !>[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))).
% 24.67/5.60 thf(func_def_114, type, sK38: !>[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))).
% 24.67/5.60 thf(func_def_115, type, sK39: !>[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))).
% 24.67/5.60 thf(func_def_116, type, sK40: !>[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))).
% 24.67/5.60 thf(func_def_117, type, sK41: !>[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))).
% 24.67/5.60 thf(func_def_118, type, sK42: !>[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))).
% 24.67/5.60 thf(func_def_119, type, sK43: !>[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))).
% 24.67/5.60 thf(func_def_120, type, sK44: !>[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))).
% 24.67/5.60 thf(func_def_121, type, sK45: !>[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))).
% 24.67/5.60 thf(func_def_122, type, sK46: !>[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))).
% 24.67/5.60 thf(func_def_123, type, sK47: !>[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))).
% 24.67/5.60 thf(func_def_124, type, sK48: !>[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))).
% 24.67/5.60 thf(func_def_125, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 24.67/5.60 thf(func_def_126, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 24.67/5.60 thf(func_def_127, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 24.67/5.60 thf(func_def_128, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_129, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 24.67/5.60 thf(func_def_130, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 24.67/5.60 thf(func_def_131, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_132, type, sK56: !>[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))).
% 24.67/5.60 thf(func_def_133, type, sK57: !>[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))).
% 24.67/5.60 thf(func_def_134, type, sK58: !>[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))).
% 24.67/5.60 thf(func_def_135, type, sK59: !>[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))).
% 24.67/5.60 thf(func_def_136, type, sK60: !>[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))).
% 24.67/5.60 thf(func_def_137, type, sK61: !>[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))).
% 24.67/5.60 thf(func_def_138, type, sK62: !>[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))).
% 24.67/5.60 thf(func_def_139, type, sK63: !>[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))).
% 24.67/5.60 thf(func_def_140, type, sK64: !>[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))).
% 24.67/5.60 thf(func_def_141, type, sK65: !>[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))).
% 24.67/5.60 thf(func_def_142, type, sK66: !>[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))).
% 24.67/5.60 thf(func_def_143, type, sK67: !>[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))).
% 24.67/5.60 thf(func_def_144, type, sK68: !>[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))).
% 24.67/5.60 thf(func_def_145, 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 > X0))).
% 24.67/5.60 thf(func_def_146, 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 > X1))).
% 24.67/5.60 thf(func_def_147, 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 > X2))).
% 24.67/5.60 thf(func_def_148, 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 > X3))).
% 24.67/5.60 thf(func_def_149, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 24.67/5.60 thf(func_def_150, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 24.67/5.60 thf(func_def_151, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 24.67/5.60 thf(func_def_152, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 24.67/5.60 thf(func_def_153, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 24.67/5.60 thf(func_def_154, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 24.67/5.60 thf(func_def_155, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 24.67/5.60 thf(func_def_156, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 24.67/5.60 thf(func_def_157, type, sK81: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1 > option @ X0))).
% 24.67/5.60 thf(func_def_158, type, sK82: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1 > option @ X0))).
% 24.67/5.60 thf(func_def_159, type, sK83: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1))).
% 24.67/5.60 thf(func_def_160, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ val @ X1 @ X2 @ X0) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_161, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ val @ X1 @ X2 @ X0) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_162, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ val @ X1 @ X2 @ X0) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > expr @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_163, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X2 @ X1 @ X0 > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_164, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X2 @ X1 @ X0 > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_165, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X2 @ X1 @ X0 > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_166, type, sK90: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_167, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 24.67/5.60 thf(func_def_168, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ val @ X1 @ X2 @ X0) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_169, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ val @ X1 @ X2 @ X0) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > X2 > option @ val @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_170, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ val @ X1 @ X2 @ X0) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > expr @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_171, type, sK95: !>[X0: $tType]:((option @ X0 > X0))).
% 24.67/5.60 thf(func_def_172, type, sK96: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_173, type, sK97: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 24.67/5.60 thf(func_def_174, type, sK98: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 24.67/5.60 thf(func_def_175, type, sK99: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_176, type, sK100: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_177, type, sK101: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 24.67/5.60 thf(func_def_178, type, sK102: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_179, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_180, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_181, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > cntxt @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_182, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_183, type, sK107: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_184, type, sK108: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_185, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_186, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_187, type, sK111: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_188, type, sK112: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_189, type, sK113: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_190, type, sK114: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_191, type, sK115: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_192, type, sK116: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_193, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_194, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_195, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_196, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_197, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_198, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_199, type, sK123: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_200, type, sK124: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_201, type, sK125: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_202, type, sK126: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_203, type, sK127: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 24.67/5.60 thf(func_def_204, type, sK128: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_205, type, sK129: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_206, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2))).
% 24.67/5.60 thf(func_def_207, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_208, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_209, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_210, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_211, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_212, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_213, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_214, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_215, type, sK139: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_216, type, sK140: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_217, type, sK141: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 24.67/5.60 thf(func_def_218, type, sK142: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_219, type, sK143: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_220, type, sK144: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_221, type, sK145: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 24.67/5.60 thf(func_def_222, type, sK146: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 24.67/5.60 thf(func_def_223, type, sK147: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_224, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_225, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_226, type, sK150: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1 > X0))).
% 24.67/5.60 thf(func_def_227, type, sK151: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1))).
% 24.67/5.60 thf(func_def_228, type, sK152: !>[X0: $tType]:(((X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_229, type, sK153: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X0))).
% 24.67/5.60 thf(func_def_230, type, sK154: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X1))).
% 24.67/5.60 thf(func_def_231, type, sK155: !>[X0: $tType]:((set @ X0 > X0))).
% 24.67/5.60 thf(func_def_232, type, sK156: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X1))).
% 24.67/5.60 thf(func_def_233, type, sK157: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X0))).
% 24.67/5.60 thf(func_def_234, type, sK158: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X1 > X0))).
% 24.67/5.60 thf(func_def_235, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2))).
% 24.67/5.60 thf(func_def_236, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_237, type, sK161: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_238, type, sK162: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_239, type, sK163: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > X2) > X2))).
% 24.67/5.60 thf(func_def_240, type, sK164: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > X2) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_241, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > X2) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_242, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > X2) > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_243, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (X2 > X2) > X2))).
% 24.67/5.60 thf(func_def_244, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2))).
% 24.67/5.60 thf(func_def_245, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_246, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_247, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_248, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2))).
% 24.67/5.60 thf(func_def_249, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_250, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_251, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_252, type, sK176: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 24.67/5.60 thf(func_def_253, type, sK177: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_254, type, sK178: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_255, type, sK179: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_256, type, sK180: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 24.67/5.60 thf(func_def_257, type, sK181: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_258, type, sK182: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_259, type, sK183: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_260, type, sK184: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l)).
% 24.67/5.60 thf(func_def_261, type, sK185: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_262, type, sK186: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_263, type, sK187: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 24.67/5.60 thf(func_def_264, type, sK188: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_265, type, sK189: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_266, type, sK190: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_267, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > X1))).
% 24.67/5.60 thf(func_def_268, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0))).
% 24.67/5.60 thf(func_def_269, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1))).
% 24.67/5.60 thf(func_def_270, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_271, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > X1 > option @ val @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_272, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > cntxt @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_273, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_274, type, sK198: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_275, type, sK199: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_276, type, sK200: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 24.67/5.60 thf(func_def_277, type, sK201: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_278, type, sK202: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_279, type, sK203: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_280, type, sK204: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_281, type, sK205: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_282, type, sK206: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 24.67/5.60 thf(func_def_283, type, sK207: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > val @ r @ l @ v)).
% 24.67/5.60 thf(func_def_284, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_285, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0))).
% 24.67/5.60 thf(func_def_286, type, db5: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_287, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > val @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X2 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_288, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > val @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X2 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_289, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > val @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X2 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_290, type, sK213: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > val @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X2 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_291, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > (X0 > option @ val @ X2 @ X0 @ X1) > val @ X2 @ X0 @ X1 > (X0 > option @ val @ X2 @ X0 @ X1) > cntxt @ X2 @ X0 @ X1 > (X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X0))).
% 24.67/5.60 thf(func_def_292, type, sK215: (val @ r @ l @ v > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l)).
% 24.67/5.60 thf(func_def_293, type, sK216: (val @ r @ l @ v > cntxt @ r @ l @ v > l > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_294, type, sK217: (val @ r @ l @ v > cntxt @ r @ l @ v > l > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_295, type, sK218: (val @ r @ l @ v > cntxt @ r @ l @ v > l > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_296, type, sK219: (val @ r @ l @ v > cntxt @ r @ l @ v > l > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_297, type, sK220: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_298, type, sK221: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_299, type, sK222: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_300, type, sK223: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_301, type, sK224: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_302, type, sK225: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_303, type, sK226: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_304, type, sK227: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_305, type, sK228: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_306, type, sK229: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_307, type, sK230: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_308, type, sK231: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_309, type, sK232: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_310, type, sK233: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_311, type, sK234: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_312, type, sK235: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_313, type, sK236: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_314, type, sK237: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_315, type, sK238: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_316, type, sK239: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_317, type, sK240: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_318, type, sK241: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_319, type, sK242: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_320, type, sK243: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_321, type, sK244: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_322, type, sK245: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_323, type, sK246: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_324, type, sK247: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_325, type, sK248: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_326, type, sK249: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_327, type, sK250: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_328, type, sK251: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_329, type, sK252: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_330, type, sK253: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_331, type, sK254: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_332, type, sK255: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_333, type, sK256: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_334, type, sK257: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_335, type, sK258: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_336, type, sK259: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_337, type, sK260: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_338, type, sK261: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_339, type, sK262: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_340, type, sK263: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_341, type, sK264: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_342, type, sK265: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_343, type, sK266: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_344, type, sK267: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_345, type, sK268: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_346, type, sK269: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_347, type, sK270: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_348, type, sK271: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_349, type, sK272: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_350, type, sK273: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_351, type, sK274: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_352, type, sK275: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_353, type, sK276: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_354, type, sK277: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_355, type, sK278: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_356, type, sK279: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_357, type, sK280: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 24.67/5.60 thf(func_def_358, type, sK281: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0))).
% 24.67/5.60 thf(func_def_359, type, sK282: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_360, type, sK283: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_361, type, sK284: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_362, type, sK285: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_363, type, sK286: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_364, type, sK287: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_365, type, sK288: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_366, type, sK289: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_367, type, sK290: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_368, type, sK291: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_369, type, sK292: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_370, type, sK293: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_371, type, sK294: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > X1))).
% 24.67/5.60 thf(func_def_372, type, sK295: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_373, type, sK296: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_374, type, sK297: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_375, type, sK298: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_376, type, sK299: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_377, type, sK300: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_378, type, sK301: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_379, type, sK302: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_380, type, sK303: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_381, type, sK304: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_382, type, sK305: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_383, type, sK306: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_384, type, sK307: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_385, type, sK308: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_386, type, sK309: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_387, type, sK310: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_388, type, sK311: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X0 > X0))).
% 24.67/5.60 thf(func_def_389, type, sK312: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_390, type, sK313: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_391, type, sK314: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_392, type, sK315: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_393, type, sK316: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_394, type, sK317: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_395, type, sK318: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_396, type, sK319: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_397, type, sK320: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_398, type, sK321: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_399, type, sK322: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_400, type, sK323: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_401, type, sK324: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_402, type, sK325: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_403, type, sK326: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_404, type, sK327: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_405, type, sK328: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > (X0 > X1) > X1))).
% 24.67/5.60 thf(func_def_406, type, sK329: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > (X0 > X1) > X0))).
% 24.67/5.60 thf(func_def_407, type, sK330: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X1 > X0))).
% 24.67/5.60 thf(func_def_408, type, sK331: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X1) > set @ X0 > X1))).
% 24.67/5.60 thf(func_def_409, type, sK332: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X1) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_410, type, sK333: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X1) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_411, type, sK334: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X1 > X0))).
% 24.67/5.60 thf(func_def_412, type, sK335: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X1))).
% 24.67/5.60 thf(func_def_413, type, sK336: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_414, type, sK337: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X1))).
% 24.67/5.60 thf(func_def_415, type, sK338: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_416, type, sK339: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X1 > X0))).
% 24.67/5.60 thf(func_def_417, type, sK340: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X1) > set @ X0 > X1))).
% 24.67/5.60 thf(func_def_418, type, sK341: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X1) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_419, type, sK342: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X0 > X1) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_420, type, sK343: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > set @ X0 > X1 > X0))).
% 24.67/5.60 thf(func_def_421, type, sK344: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X1))).
% 24.67/5.60 thf(func_def_422, type, sK345: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_423, type, sK346: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X1))).
% 24.67/5.60 thf(func_def_424, type, sK347: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > set @ X0 > X0))).
% 24.67/5.60 thf(func_def_425, type, sK348: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X1 > X0))).
% 24.67/5.60 thf(func_def_426, type, sK349: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > (X1 > X0) > X0))).
% 24.67/5.60 thf(func_def_427, type, sK350: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > (X1 > X0) > X1))).
% 24.67/5.60 thf(func_def_428, type, sK351: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > (X1 > X0) > X0))).
% 24.67/5.60 thf(func_def_429, type, sK352: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > (X1 > X0) > X1))).
% 24.67/5.60 thf(func_def_430, type, sK353: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > (X0 > X1) > X1))).
% 24.67/5.60 thf(func_def_431, type, sK354: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > (X0 > X1) > X0))).
% 24.67/5.60 thf(func_def_432, type, sK355: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X0))).
% 24.67/5.60 thf(func_def_433, type, sK356: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 24.67/5.60 thf(func_def_434, type, sK357: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X0))).
% 24.67/5.60 thf(func_def_435, type, sK358: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 24.67/5.60 thf(func_def_436, type, sK359: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > (X0 > X1) > X1))).
% 24.67/5.60 thf(func_def_437, type, sK360: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > (X0 > X1) > X0))).
% 24.67/5.60 thf(func_def_438, type, sK361: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > (X0 > X1) > X1))).
% 24.67/5.60 thf(func_def_439, type, sK362: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > set @ X0 > (X0 > X1) > X0))).
% 24.67/5.60 thf(func_def_440, type, sK363: (l > l)).
% 24.67/5.60 thf(func_def_441, type, sK364: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_442, type, sK365: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_443, type, sK366: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > X2) > (X0 > X0) > X2 > X2))).
% 24.67/5.60 thf(func_def_444, type, sK367: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > X2) > (X0 > X0) > X0 > X0))).
% 24.67/5.60 thf(func_def_445, type, sK368: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_446, type, sK369: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_447, type, sK370: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_448, type, sK371: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_449, type, sK372: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > X2) > (X0 > X0) > X0 > X0))).
% 24.67/5.60 thf(func_def_450, type, sK373: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > X2) > (X0 > X0) > X2 > X2))).
% 24.67/5.60 thf(func_def_451, type, sK374: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_452, type, sK375: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_453, type, sK376: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_454, type, sK377: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_455, type, sK378: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_456, type, sK379: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_457, type, sK380: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_458, type, sK381: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_459, type, sK382: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_460, type, sK383: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_461, type, sK384: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_462, type, sK385: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_463, type, sK386: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_464, type, sK387: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_465, type, sK388: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_466, type, sK389: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_467, type, sK390: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_468, type, sK391: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_469, type, sK392: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_470, type, sK393: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > cntxt @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_471, type, sK394: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > cntxt @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_472, type, sK395: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > cntxt @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_473, type, sK396: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > cntxt @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_474, type, sK397: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > X0 > cntxt @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_475, type, sK398: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 24.67/5.60 thf(func_def_476, type, sK399: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1))).
% 24.67/5.60 thf(func_def_477, type, sK400: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_478, type, sK401: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_479, type, sK402: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_480, type, sK403: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_481, type, sK404: (r > r)).
% 24.67/5.60 thf(func_def_482, type, sK405: (r > cntxt @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_483, type, sK406: (r > cntxt @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_484, type, sK407: (r > cntxt @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_485, type, sK408: (r > cntxt @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_486, type, sK409: ((l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > l > l)).
% 24.67/5.60 thf(func_def_487, type, sK410: ((l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > r > r)).
% 24.67/5.60 thf(func_def_488, type, sK411: ((l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > r > r)).
% 24.67/5.60 thf(func_def_489, type, sK412: ((l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (l > option @ val @ r @ l @ v) > r > l > l)).
% 24.67/5.60 thf(func_def_490, type, sK413: (expr @ r @ l @ v > cntxt @ r @ l @ v > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_491, type, sK414: (expr @ r @ l @ v > cntxt @ r @ l @ v > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_492, type, sK415: (expr @ r @ l @ v > cntxt @ r @ l @ v > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_493, type, sK416: (expr @ r @ l @ v > cntxt @ r @ l @ v > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_494, type, sK417: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_495, type, sK418: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_496, type, sK419: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_497, type, sK420: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_498, type, sK421: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_499, type, sK422: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_500, type, sK423: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_501, type, sK424: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_502, type, sK425: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_503, type, sK426: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_504, type, sK427: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_505, type, sK428: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_506, type, sK429: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_507, type, sK430: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_508, type, sK431: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_509, type, sK432: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_510, type, sK433: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_511, type, sK434: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_512, type, sK435: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_513, type, sK436: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_514, type, sK437: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_515, type, sK438: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_516, type, sK439: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_517, type, sK440: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_518, type, sK441: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_519, type, sK442: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_520, type, sK443: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_521, type, sK444: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_522, type, sK445: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_523, type, sK446: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_524, type, sK447: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_525, type, sK448: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_526, type, sK449: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_527, type, sK450: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_528, type, sK451: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_529, type, sK452: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_530, type, sK453: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_531, type, sK454: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_532, type, sK455: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_533, type, sK456: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_534, type, sK457: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_535, type, sK458: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_536, type, sK459: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_537, type, sK460: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_538, type, sK461: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_539, type, sK462: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_540, type, sK463: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_541, type, sK464: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_542, type, sK465: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_543, type, sK466: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_544, type, sK467: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_545, type, sK468: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_546, type, sK469: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_547, type, sK470: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_548, type, sK471: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_549, type, sK472: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_550, type, sK473: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_551, type, sK474: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_552, type, sK475: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_553, type, sK476: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_554, type, sK477: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_555, type, sK478: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_556, type, sK479: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_557, type, sK480: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_558, type, sK481: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_559, type, sK482: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_560, type, sK483: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_561, type, sK484: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_562, type, sK485: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_563, type, sK486: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_564, type, sK487: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_565, type, sK488: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_566, type, sK489: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_567, type, sK490: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_568, type, sK491: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_569, type, sK492: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_570, type, sK493: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_571, type, sK494: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_572, type, sK495: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_573, type, sK496: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_574, type, sK497: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_575, type, sK498: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_576, type, sK499: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_577, type, sK500: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_578, type, sK501: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_579, type, sK502: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_580, type, sK503: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_581, type, sK504: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_582, type, sK505: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_583, type, sK506: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_584, type, sK507: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_585, type, sK508: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_586, type, sK509: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_587, type, sK510: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_588, type, sK511: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_589, type, sK512: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_590, type, sK513: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_591, type, sK514: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_592, type, sK515: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_593, type, sK516: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_594, type, sK517: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_595, type, sK518: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_596, type, sK519: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_597, type, sK520: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_598, type, sK521: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_599, type, sK522: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_600, type, sK523: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_601, type, sK524: !>[X0: $tType]:(((X0 > X0) > (X0 > X0) > X0))).
% 24.67/5.60 thf(func_def_602, type, sK525: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_603, type, sK526: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_604, type, sK527: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > l)).
% 24.67/5.60 thf(func_def_605, type, sK528: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r)).
% 24.67/5.60 thf(func_def_606, type, sK529: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r)).
% 24.67/5.60 thf(func_def_607, type, sK530: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > l)).
% 24.67/5.60 thf(func_def_608, type, sK531: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_609, type, sK532: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_610, type, sK533: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_611, type, sK534: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_612, type, sK535: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > l)).
% 24.67/5.60 thf(func_def_613, type, sK536: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r)).
% 24.67/5.60 thf(func_def_614, type, sK537: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r)).
% 24.67/5.60 thf(func_def_615, type, sK538: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > l)).
% 24.67/5.60 thf(func_def_616, type, sK539: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_617, type, sK540: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_618, type, sK541: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_619, type, sK542: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_620, type, sK543: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_621, type, sK544: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_622, type, sK545: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_623, type, sK546: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_624, type, sK547: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_625, type, sK548: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_626, type, sK549: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_627, type, sK550: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_628, type, sK551: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_629, type, sK552: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_630, type, sK553: ((l > l) > (l > l) > l)).
% 24.67/5.60 thf(func_def_631, type, sK554: ((r > r) > (r > r) > r)).
% 24.67/5.60 thf(func_def_632, type, sK555: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_633, type, sK556: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_634, type, sK557: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r)).
% 24.67/5.60 thf(func_def_635, type, sK558: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > l)).
% 24.67/5.60 thf(func_def_636, type, sK559: (r > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > l > l)).
% 24.67/5.60 thf(func_def_637, type, sK560: (r > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > r > r)).
% 24.67/5.60 thf(func_def_638, type, sK561: (r > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > r > r)).
% 24.67/5.60 thf(func_def_639, type, sK562: (r > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > l > l)).
% 24.67/5.60 thf(func_def_640, type, sK563: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > cntxt @ X0 @ X2 @ X1 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_641, type, sK564: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > cntxt @ X0 @ X2 @ X1 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_642, type, sK565: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > cntxt @ X0 @ X2 @ X1 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0))).
% 24.67/5.60 thf(func_def_643, type, sK566: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > cntxt @ X0 @ X2 @ X1 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1 > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X0 > X0 > (X2 > option @ val @ X0 @ X2 @ X1) > (X2 > option @ val @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X2 > X2))).
% 24.67/5.60 thf(func_def_644, type, sK567: (r > (l > option @ val @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > l > l)).
% 24.67/5.60 thf(func_def_645, type, sK568: (r > (l > option @ val @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > r > r)).
% 24.67/5.60 thf(func_def_646, type, sK569: (r > (l > option @ val @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > r > r)).
% 24.67/5.60 thf(func_def_647, type, sK570: (r > (l > option @ val @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v > r > l > l)).
% 24.67/5.60 thf(func_def_648, type, sK571: (expr @ r @ l @ v > cntxt @ r @ l @ v > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r)).
% 24.67/5.60 thf(func_def_649, type, sK572: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X1 > option @ val @ X0 @ X1 @ X2) > expr @ X0 @ X1 @ X2 > (X1 > option @ val @ X0 @ X1 @ X2) > cntxt @ X0 @ X1 @ X2 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0))).
% 24.67/5.60 thf(func_def_650, type, sK573: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ X0) > X1 > (X0 > option @ X1) > X0))).
% 24.67/5.60 thf(func_def_651, type, sK574: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ X0) > (X0 > option @ X1) > X0))).
% 24.67/5.60 thf(func_def_652, type, sK575: !>[X0: $tType]:((option @ X0 > X0))).
% 24.67/5.60 thf(func_def_653, type, sK576: !>[X0: $tType]:((option @ X0 > X0))).
% 24.67/5.60 thf(func_def_655, type, sK578: r).
% 24.67/5.60 thf(func_def_656, type, sK579: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 24.67/5.60 thf(func_def_657, type, sK580: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_658, type, sK581: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 24.67/5.60 thf(func_def_659, type, sK582: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 24.67/5.60 thf(func_def_660, type, sK583: !>[X0: $tType, X1: $tType]:((X1 > X0 > (X1 > option @ X0) > X1))).
% 24.67/5.60 thf(func_def_661, type, sK584: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X1 > (X0 > X1) > X0))).
% 24.67/5.60 thf(func_def_662, type, sK585: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > X0 > X1 > X1 > (X0 > option @ X1) > X0))).
% 24.67/5.60 thf(func_def_663, type, sK586: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 24.67/5.60 thf(func_def_664, type, sK587: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 24.67/5.60 thf(func_def_665, type, db7: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_666, type, db6: !>[X0: $tType]:(X0)).
% 24.67/5.60 thf(func_def_667, type, sK588: r).
% 24.67/5.60 thf(f1,axiom,(
% 24.67/5.60 (((s @ r2)) = ((some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 24.67/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_local_Ofork_I2_J)).
% 24.67/5.60 thf(f6,axiom,(
% 24.67/5.60 ! [X0 : $tType,X1 : $tType] : (fun_upd @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : X1, X4 : X0, X5 : X1] : ((if @ X0 @ (X5 = X3) @ X4 @ (X2 @ X5)))))),
% 24.67/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_fun__upd__apply)).
% 24.67/5.60 thf(f25,axiom,(
% 24.67/5.60 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0),X3 : X1,X4 : X0] : ((((X2 @ X3)) = X4) => (((fun_upd @ X1 @ X0 @ X2 @ X3 @ X4)) = X2))),
% 24.67/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_fun__upd__idem)).
% 24.67/5.60 thf(f268,conjecture,(
% 24.67/5.60 (s = ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 24.67/5.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 24.67/5.60 thf(f269,negated_conjecture,(
% 24.67/5.60 ~ (s = ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 24.67/5.60 inference(negated_conjecture,[status(cth)],[f268])).
% 24.67/5.60 thf(f272,plain,(
% 24.67/5.60 ! [X0 : $tType,X1 : $tType] : (fun_upd @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : X1, X4 : X0, X5 : X1] : ((if @ X0 @ (X5 = X3) @ X4 @ (X2 @ X5)))))),
% 24.67/5.60 inference(rectify,[],[f6])).
% 24.67/5.60 thf(f273,plain,(
% 24.67/5.60 ! [X0 : $tType,X1 : $tType] : (fun_upd @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : X1]: ((^[Y2 : X0]: ((^[Y3 : X1]: (if @ X0 @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))))),
% 24.67/5.60 inference(fool_elimination,[],[f272])).
% 24.67/5.60 thf(f708,plain,(
% 24.67/5.60 (s != ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 24.67/5.60 inference(flattening,[],[f269])).
% 24.67/5.60 thf(f721,plain,(
% 24.67/5.60 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0),X3 : X1,X4 : X0] : ((((fun_upd @ X1 @ X0 @ X2 @ X3 @ X4)) = X2) | (((X2 @ X3)) != X4))),
% 24.67/5.60 inference(ennf_transformation,[],[f25])).
% 24.67/5.60 thf(f1090,plain,(
% 24.67/5.60 (((s @ r2)) = ((some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 24.67/5.60 inference(cnf_transformation,[],[f1])).
% 24.67/5.60 thf(f1095,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType] : ((fun_upd @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : X1]: ((^[Y2 : X0]: ((^[Y3 : X1]: (if @ X0 @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))))) )),
% 24.67/5.60 inference(cnf_transformation,[],[f273])).
% 24.67/5.60 thf(f1115,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : X1,X4 : X0] : ((((fun_upd @ X1 @ X0 @ X2 @ X3 @ X4)) = X2) | (((X2 @ X3)) != X4)) )),
% 24.67/5.60 inference(cnf_transformation,[],[f721])).
% 24.67/5.60 thf(f1443,plain,(
% 24.67/5.60 (s != ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 24.67/5.60 inference(cnf_transformation,[],[f708])).
% 24.67/5.60 thf(f1455,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : X1,X4 : X0] : (((((^[Y0 : X1 > X0]: ((^[Y1 : X1]: ((^[Y2 : X0]: ((^[Y3 : X1]: (if @ X0 @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))) @ X2 @ X3 @ X4)) = X2) | (((X2 @ X3)) != X4)) )),
% 24.67/5.60 inference(definition_unfolding,[],[f1115,f1095])).
% 24.67/5.60 thf(f1583,plain,(
% 24.67/5.60 (s != (((^[Y0 : r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v]: ((^[Y1 : r]: ((^[Y2 : option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v]: ((^[Y3 : r]: (if @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))) @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 24.67/5.60 inference(definition_unfolding,[],[f1443,f1095])).
% 24.67/5.60 thf(f1584,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : X1] : (((((^[Y0 : X1 > X0]: ((^[Y1 : X1]: ((^[Y2 : X0]: ((^[Y3 : X1]: (if @ X0 @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))) @ X2 @ X3 @ (X2 @ X3))) = X2)) )),
% 24.67/5.60 inference(equality_resolution,[],[f1455])).
% 24.67/5.60 thf(f1670,plain,(
% 24.67/5.60 (s != (^[Y0 : r]: (if @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (r2 = Y0) @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))) @ (s @ Y0))))),
% 24.67/5.60 inference(beta-eta_normalization,[],[f1583])).
% 24.67/5.60 thf(f15598,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : X1] : (((^[Y0 : X1]: (if @ X0 @ (X3 = Y0) @ (X2 @ X3) @ (X2 @ Y0))) = X2)) )),
% 24.67/5.60 inference(beta-eta_normalization,[],[f1584])).
% 24.67/5.60 thf(f17479,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : X1,X4 : X1] : ((((X2 @ X4)) = (((^[Y0 : X1]: (if @ X0 @ (X3 = Y0) @ (X2 @ X3) @ (X2 @ Y0))) @ X4)))) )),
% 24.67/5.60 inference(argument_congruence,[],[f15598])).
% 24.67/5.60 thf(f17482,plain,(
% 24.67/5.60 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : X1,X4 : X1] : ((((X2 @ X4)) = ((if @ X0 @ (X3 = X4) @ (X2 @ X3) @ (X2 @ X4))))) )),
% 24.67/5.60 inference(beta-eta_normalization,[],[f17479])).
% 24.67/5.60 thf(f47240,plain,(
% 24.67/5.60 (((s @ sK588)) != (((^[Y0 : r]: (if @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (r2 = Y0) @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))) @ (s @ Y0))) @ sK588)))),
% 24.67/5.60 inference(negative_extensionality,[],[f1670])).
% 24.67/5.60 thf(f47241,plain,(
% 24.67/5.60 (((s @ sK588)) != ((if @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (r2 = sK588) @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))) @ (s @ sK588))))),
% 24.67/5.60 inference(beta-eta_normalization,[],[f47240])).
% 24.67/5.60 thf(f47242,plain,(
% 24.67/5.60 (((s @ sK588)) != ((if @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (r2 = sK588) @ (s @ r2) @ (s @ sK588))))),
% 24.67/5.60 inference(forward_demodulation,[],[f47241,f1090])).
% 24.67/5.60 thf(f47243,plain,(
% 24.67/5.60 $false),
% 24.67/5.60 inference(forward_subsumption_resolution,[],[f47242,f17482])).
% 24.67/5.60 % SZS output end Proof for theBenchmark
% 24.67/5.60 % (1754450)------------------------------
% 24.67/5.60 % (1754450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.67/5.60 % (1754450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.67/5.60 % (1754450)CaDiCaL version: 2.1.3
% 24.67/5.60 % (1754450)Termination reason: Refutation
% 24.67/5.60 % (1754450)Time elapsed: 5.273 s
% 24.67/5.60 % (1754450)Peak memory usage: 48 MB
% 24.67/5.60 % (1754450)Instructions burned: 10431 (million)
% 24.67/5.60 % (1754444)Success in time 5.387 s
% 24.67/5.60 % Vampire exiting
%------------------------------------------------------------------------------