%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT190^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 07:49:01 AM UTC 2026
% Result : Theorem 117.03s 25.24s
% Output : Refutation 117.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT190^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 18:06:45 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.45/1.13 % (3013710)Will run a generic schedule for satisfiability detection.
% 5.45/1.13 % (3013716)% WARNING: option uhcvi not known.
% 5.45/1.13 % (3013717)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1008940618:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.45/1.13 % (3013715)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3556954805_2999 on theBenchmark for (2999ds/0Mi)
% 5.45/1.13 % (3013716)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2623438158:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.45/1.13 % (3013718)dis+10_1_sil=32000:sp=arity:random_seed=2612534510:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.45/1.13 % (3013720)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2394087871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.45/1.13 % (3013719)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2369657864:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.45/1.13 % (3013721)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2705760710:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.45/1.13 % (3013716)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.45/1.13 % (3013719)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.45/1.13 % (3013718)Instruction limit reached!
% 5.45/1.13 % (3013718)------------------------------
% 5.45/1.13 % (3013718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3013718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3013718)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3013718)Termination reason: Instruction limit
% 5.45/1.13 % (3013718)Termination phase: Property scanning
% 5.45/1.13 % (3013718)Time elapsed: 0.044 s
% 5.45/1.13 % (3013718)Peak memory usage: 11 MB
% 5.45/1.13 % (3013718)Instructions burned: 104 (million)
% 5.45/1.13 % (3013719)Instruction limit reached!
% 5.45/1.13 % (3013719)------------------------------
% 5.45/1.13 % (3013719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3013719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3013719)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3013719)Termination reason: Instruction limit
% 5.45/1.13 % (3013719)Termination phase: Property scanning
% 5.45/1.13 % (3013719)Time elapsed: 0.050 s
% 5.45/1.13 % (3013719)Peak memory usage: 11 MB
% 5.45/1.13 % (3013719)Instructions burned: 118 (million)
% 5.45/1.13 % (3013716)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.45/1.13 % Exception at run slice level
% 5.45/1.13 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.45/1.13 % (3013720)Instruction limit reached!
% 5.45/1.13 % (3013720)------------------------------
% 5.45/1.13 % (3013720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3013720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3013720)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3013720)Termination reason: Instruction limit
% 5.45/1.13 % (3013720)Termination phase: Saturation
% 5.45/1.13 % (3013720)Time elapsed: 0.057 s
% 5.45/1.13 % (3013720)Peak memory usage: 12 MB
% 5.45/1.13 % (3013720)Instructions burned: 133 (million)
% 5.45/1.13 % (3013729)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3071938442:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.45/1.13 % (3013721)Instruction limit reached!
% 5.45/1.13 % (3013721)------------------------------
% 5.45/1.13 % (3013721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3013721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3013721)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3013721)Termination reason: Instruction limit
% 5.45/1.13 % (3013721)Termination phase: Saturation
% 5.45/1.13 % (3013721)Time elapsed: 0.069 s
% 5.45/1.13 % (3013721)Peak memory usage: 13 MB
% 5.45/1.13 % (3013721)Instructions burned: 160 (million)
% 5.45/1.13 % (3013731)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=712363123:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.45/1.13 % (3013730)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3187598517:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.69/3.25 % (3013732)ott-21_1_sil=16000:fs=off:random_seed=2707561179:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.69/3.25 % (3013734)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1504148351:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.69/3.25 % (3013731)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.69/3.25 % Exception at run slice level
% 20.69/3.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.69/3.25 % (3013731)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.69/3.25 % (3013730)Instruction limit reached!
% 20.69/3.25 % (3013730)------------------------------
% 20.69/3.25 % (3013730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (3013730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (3013730)CaDiCaL version: 2.1.3
% 20.69/3.25 % (3013730)Termination reason: Instruction limit
% 20.69/3.25 % (3013730)Termination phase: Saturation
% 20.69/3.25 % (3013730)Time elapsed: 0.056 s
% 20.69/3.25 % (3013730)Peak memory usage: 13 MB
% 20.69/3.25 % (3013730)Instructions burned: 131 (million)
% 20.69/3.25 % (3013740)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=532866215:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.69/3.25 % (3013742)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2126027494:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 20.69/3.25 % (3013732)Instruction limit reached!
% 20.69/3.25 % (3013732)------------------------------
% 20.69/3.25 % (3013732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (3013732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (3013732)CaDiCaL version: 2.1.3
% 20.69/3.25 % (3013732)Termination reason: Instruction limit
% 20.69/3.25 % (3013732)Termination phase: Saturation
% 20.69/3.25 % (3013732)Time elapsed: 0.074 s
% 20.69/3.25 % (3013732)Peak memory usage: 13 MB
% 20.69/3.25 % (3013732)Instructions burned: 181 (million)
% 20.69/3.25 % (3013745)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2388796244:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 20.69/3.25 % Exception at run slice level
% 20.69/3.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.69/3.25 % (3013747)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=3048608965:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 20.69/3.25 % (3013747)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.69/3.25 % Exception at run slice level
% 20.69/3.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.69/3.25 % (3013751)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=251878628:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 20.69/3.25 % (3013751)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.69/3.25 % (3013734)Instruction limit reached!
% 20.69/3.25 % (3013734)------------------------------
% 20.69/3.25 % (3013734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (3013734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (3013734)CaDiCaL version: 2.1.3
% 20.69/3.25 % (3013734)Termination reason: Instruction limit
% 20.69/3.25 % (3013734)Termination phase: Saturation
% 20.69/3.25 % (3013734)Time elapsed: 0.313 s
% 20.69/3.25 % (3013734)Peak memory usage: 16 MB
% 20.69/3.25 % (3013734)Instructions burned: 478 (million)
% 20.69/3.25 % (3013731)Instruction limit reached!
% 20.69/3.25 % (3013731)------------------------------
% 20.69/3.25 % (3013731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (3013731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (3013731)CaDiCaL version: 2.1.3
% 20.69/3.25 % (3013731)Termination reason: Instruction limit
% 20.69/3.25 % (3013731)Termination phase: Saturation
% 20.69/3.25 % (3013731)Time elapsed: 0.338 s
% 20.69/3.25 % (3013731)Peak memory usage: 17 MB
% 20.69/3.25 % (3013731)Instructions burned: 685 (million)
% 20.69/3.25 % (3013763)fmb+10_1_sil=64000:random_seed=1122275714:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 50.40/7.43 % (3013764)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1367406422:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 50.40/7.43 % (3013763)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 50.40/7.43 % Exception at run slice level
% 50.40/7.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.40/7.43 % Exception at run slice level
% 50.40/7.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.40/7.43 % (3013767)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=929833611:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 50.40/7.43 % (3013768)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4290856470:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 50.40/7.43 % (3013768)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 50.40/7.43 % Exception at run slice level
% 50.40/7.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.40/7.43 % (3013771)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=667856836:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 50.40/7.43 % (3013771)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 50.40/7.43 % (3013747)Instruction limit reached!
% 50.40/7.43 % (3013747)------------------------------
% 50.40/7.43 % (3013747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.40/7.43 % (3013747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.40/7.43 % (3013747)CaDiCaL version: 2.1.3
% 50.40/7.43 % (3013747)Termination reason: Instruction limit
% 50.40/7.43 % (3013747)Termination phase: Saturation
% 50.40/7.43 % (3013747)Time elapsed: 0.337 s
% 50.40/7.43 % (3013747)Peak memory usage: 17 MB
% 50.40/7.43 % (3013747)Instructions burned: 693 (million)
% 50.40/7.43 % (3013771)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 50.40/7.43 % (3013773)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=709024232:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 50.40/7.43 % Exception at run slice level
% 50.40/7.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.40/7.43 % (3013775)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1091461601:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 50.40/7.43 % Exception at run slice level
% 50.40/7.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.40/7.43 % (3013742)Instruction limit reached!
% 50.40/7.43 % (3013742)------------------------------
% 50.40/7.43 % (3013742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.40/7.43 % (3013742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.40/7.43 % (3013742)CaDiCaL version: 2.1.3
% 50.40/7.43 % (3013742)Termination reason: Instruction limit
% 50.40/7.43 % (3013742)Termination phase: Saturation
% 50.40/7.43 % (3013742)Time elapsed: 0.611 s
% 50.40/7.43 % (3013742)Peak memory usage: 19 MB
% 50.40/7.43 % (3013742)Instructions burned: 1180 (million)
% 50.40/7.43 % (3013751)Instruction limit reached!
% 50.40/7.43 % (3013751)------------------------------
% 50.40/7.43 % (3013751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.40/7.43 % (3013751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.40/7.43 % (3013751)CaDiCaL version: 2.1.3
% 50.40/7.43 % (3013751)Termination reason: Instruction limit
% 50.40/7.43 % (3013751)Termination phase: Saturation
% 50.40/7.43 % (3013751)Time elapsed: 0.439 s
% 50.40/7.43 % (3013751)Peak memory usage: 19 MB
% 50.40/7.43 % (3013751)Instructions burned: 880 (million)
% 50.40/7.43 % (3013777)ott-2_1_sil=16000:newcnf=on:random_seed=1820139063:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 50.40/7.43 % (3013778)ott+10_1_sil=32000:tgt=ground:random_seed=1919029258:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 50.40/7.43 % (3013779)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1881780290:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 50.40/7.43 % (3013777)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 50.40/7.43 % Exception at run slice level
% 112.75/16.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 112.75/16.28 % (3013783)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2228371259:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 112.75/16.28 % (3013783)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 112.75/16.28 % (3013777)Instruction limit reached!
% 112.75/16.28 % (3013777)------------------------------
% 112.75/16.28 % (3013777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.75/16.28 % (3013777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.75/16.28 % (3013777)CaDiCaL version: 2.1.3
% 112.75/16.28 % (3013777)Termination reason: Instruction limit
% 112.75/16.28 % (3013777)Termination phase: Saturation
% 112.75/16.28 % (3013777)Time elapsed: 0.417 s
% 112.75/16.28 % (3013777)Peak memory usage: 19 MB
% 112.75/16.28 % (3013777)Instructions burned: 871 (million)
% 112.75/16.28 % (3013785)dis+21_1_sil=32000:sas=cadical:random_seed=2856866794:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 112.75/16.28 % (3013771)Instruction limit reached!
% 112.75/16.28 % (3013771)------------------------------
% 112.75/16.28 % (3013771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.75/16.28 % (3013771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.75/16.28 % (3013771)CaDiCaL version: 2.1.3
% 112.75/16.28 % (3013771)Termination reason: Instruction limit
% 112.75/16.28 % (3013771)Termination phase: Saturation
% 112.75/16.28 % (3013771)Time elapsed: 0.749 s
% 112.75/16.28 % (3013771)Peak memory usage: 19 MB
% 112.75/16.28 % (3013771)Instructions burned: 1473 (million)
% 112.75/16.28 % (3013787)ott+11_1_sil=16000:gs=on:random_seed=1979870812:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 112.75/16.28 % (3013787)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 112.75/16.28 % (3013787)Instruction limit reached!
% 112.75/16.28 % (3013787)------------------------------
% 112.75/16.28 % (3013787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.75/16.28 % (3013787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.75/16.28 % (3013787)CaDiCaL version: 2.1.3
% 112.75/16.28 % (3013787)Termination reason: Instruction limit
% 112.75/16.28 % (3013787)Termination phase: Saturation
% 112.75/16.28 % (3013787)Time elapsed: 1.079 s
% 112.75/16.28 % (3013787)Peak memory usage: 20 MB
% 112.75/16.28 % (3013787)Instructions burned: 2252 (million)
% 112.75/16.28 % (3013803)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1466881353:fmbsr=1.6:i=67534_2975 on theBenchmark for (2975ds/67534Mi)
% 112.75/16.28 % Exception at run slice level
% 112.75/16.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 112.75/16.28 % (3013805)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3419672996:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2974 on theBenchmark for (2974ds/4591Mi)
% 112.75/16.28 % (3013783)Instruction limit reached!
% 112.75/16.28 % (3013783)------------------------------
% 112.75/16.28 % (3013783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.75/16.28 % (3013783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.75/16.28 % (3013783)CaDiCaL version: 2.1.3
% 112.75/16.28 % (3013783)Termination reason: Instruction limit
% 112.75/16.28 % (3013783)Termination phase: Saturation
% 112.75/16.28 % (3013783)Time elapsed: 1.677 s
% 112.75/16.28 % (3013783)Peak memory usage: 27 MB
% 112.75/16.28 % (3013783)Instructions burned: 3512 (million)
% 112.75/16.28 % (3013807)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=647137683:i=29340_2974 on theBenchmark for (2974ds/29340Mi)
% 112.75/16.28 % (3013768)Instruction limit reached!
% 112.75/16.28 % (3013768)------------------------------
% 112.75/16.28 % (3013768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.75/16.28 % (3013768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.75/16.28 % (3013768)CaDiCaL version: 2.1.3
% 112.75/16.28 % (3013768)Termination reason: Instruction limit
% 112.75/16.28 % (3013768)Termination phase: Saturation
% 112.75/16.28 % (3013768)Time elapsed: 2.430 s
% 112.75/16.28 % (3013768)Peak memory usage: 28 MB
% 112.75/16.28 % (3013768)Instructions burned: 5131 (million)
% 112.75/16.28 % (3013809)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=838049635:i=5211_2970 on theBenchmark for (2970ds/5211Mi)
% 117.03/25.24 % (3013785)Instruction limit reached!
% 117.03/25.24 % (3013785)------------------------------
% 117.03/25.24 % (3013785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013785)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013785)Termination reason: Instruction limit
% 117.03/25.24 % (3013785)Termination phase: Saturation
% 117.03/25.24 % (3013785)Time elapsed: 1.806 s
% 117.03/25.24 % (3013785)Peak memory usage: 28 MB
% 117.03/25.24 % (3013785)Instructions burned: 3773 (million)
% 117.03/25.24 % (3013811)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=357911519:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013813)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=261677976:fmbsr=2:i=46332_2968 on theBenchmark for (2968ds/46332Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013815)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2209880416:i=14071_2967 on theBenchmark for (2967ds/14071Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013817)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3587485668:i=22565:add=on:rawr=on_2966 on theBenchmark for (2966ds/22565Mi)
% 117.03/25.24 % (3013778)Instruction limit reached!
% 117.03/25.24 % (3013778)------------------------------
% 117.03/25.24 % (3013778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013778)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013778)Termination reason: Instruction limit
% 117.03/25.24 % (3013778)Termination phase: Saturation
% 117.03/25.24 % (3013778)Time elapsed: 2.590 s
% 117.03/25.24 % (3013778)Peak memory usage: 31 MB
% 117.03/25.24 % (3013778)Instructions burned: 5115 (million)
% 117.03/25.24 % (3013819)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2770616276:i=8173:av=off_2965 on theBenchmark for (2965ds/8173Mi)
% 117.03/25.24 % (3013805)Instruction limit reached!
% 117.03/25.24 % (3013805)------------------------------
% 117.03/25.24 % (3013805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013805)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013805)Termination reason: Instruction limit
% 117.03/25.24 % (3013805)Termination phase: Saturation
% 117.03/25.24 % (3013805)Time elapsed: 2.228 s
% 117.03/25.24 % (3013805)Peak memory usage: 31 MB
% 117.03/25.24 % (3013805)Instructions burned: 4593 (million)
% 117.03/25.24 % (3013835)dis+10_16:1_sil=16000:random_seed=3175458362:i=9155:fsr=off_2952 on theBenchmark for (2952ds/9155Mi)
% 117.03/25.24 % (3013809)Instruction limit reached!
% 117.03/25.24 % (3013809)------------------------------
% 117.03/25.24 % (3013809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013809)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013809)Termination reason: Instruction limit
% 117.03/25.24 % (3013809)Termination phase: Saturation
% 117.03/25.24 % (3013809)Time elapsed: 2.677 s
% 117.03/25.24 % (3013809)Peak memory usage: 41 MB
% 117.03/25.24 % (3013809)Instructions burned: 5213 (million)
% 117.03/25.24 % (3013837)ott-3_8_sil=64000:random_seed=209059356:i=20139:bs=on_2943 on theBenchmark for (2943ds/20139Mi)
% 117.03/25.24 % (3013835)Instruction limit reached!
% 117.03/25.24 % (3013835)------------------------------
% 117.03/25.24 % (3013835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013835)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013835)Termination reason: Instruction limit
% 117.03/25.24 % (3013835)Termination phase: Saturation
% 117.03/25.24 % (3013835)Time elapsed: 2.379 s
% 117.03/25.24 % (3013835)Peak memory usage: 46 MB
% 117.03/25.24 % (3013835)Instructions burned: 9159 (million)
% 117.03/25.24 % (3013839)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=615992737:fmbsr=2:i=32576_2928 on theBenchmark for (2928ds/32576Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013841)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2364104803:i=11404_2927 on theBenchmark for (2927ds/11404Mi)
% 117.03/25.24 % (3013819)Instruction limit reached!
% 117.03/25.24 % (3013819)------------------------------
% 117.03/25.24 % (3013819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013819)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013819)Termination reason: Instruction limit
% 117.03/25.24 % (3013819)Termination phase: Saturation
% 117.03/25.24 % (3013819)Time elapsed: 4.514 s
% 117.03/25.24 % (3013819)Peak memory usage: 37 MB
% 117.03/25.24 % (3013819)Instructions burned: 8173 (million)
% 117.03/25.24 % (3013857)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1349077920:i=14134_2920 on theBenchmark for (2920ds/14134Mi)
% 117.03/25.24 % (3013857)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 117.03/25.24 % (3013841)Instruction limit reached!
% 117.03/25.24 % (3013841)------------------------------
% 117.03/25.24 % (3013841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013841)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013841)Termination reason: Instruction limit
% 117.03/25.24 % (3013841)Termination phase: Saturation
% 117.03/25.24 % (3013841)Time elapsed: 5.679 s
% 117.03/25.24 % (3013841)Peak memory usage: 71 MB
% 117.03/25.24 % (3013841)Instructions burned: 11405 (million)
% 117.03/25.24 % (3013873)dis+33_16_sil=32000:sac=on:random_seed=3019938341:i=15851:nm=0_2870 on theBenchmark for (2870ds/15851Mi)
% 117.03/25.24 % (3013837)Instruction limit reached!
% 117.03/25.24 % (3013837)------------------------------
% 117.03/25.24 % (3013837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013837)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013837)Termination reason: Instruction limit
% 117.03/25.24 % (3013837)Termination phase: Saturation
% 117.03/25.24 % (3013837)Time elapsed: 9.473 s
% 117.03/25.24 % (3013837)Peak memory usage: 32 MB
% 117.03/25.24 % (3013837)Instructions burned: 20140 (million)
% 117.03/25.24 % (3013890)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2525588109:avsq=on:i=17627:add=on:amm=off_2848 on theBenchmark for (2848ds/17627Mi)
% 117.03/25.24 % (3013807)Instruction limit reached!
% 117.03/25.24 % (3013807)------------------------------
% 117.03/25.24 % (3013807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013807)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013807)Termination reason: Instruction limit
% 117.03/25.24 % (3013807)Termination phase: Saturation
% 117.03/25.24 % (3013807)Time elapsed: 12.592 s
% 117.03/25.24 % (3013807)Peak memory usage: 94 MB
% 117.03/25.24 % (3013807)Instructions burned: 29340 (million)
% 117.03/25.24 % (3013892)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2825294479:s2a=on:i=53295_2847 on theBenchmark for (2847ds/53295Mi)
% 117.03/25.24 % (3013857)Instruction limit reached!
% 117.03/25.24 % (3013857)------------------------------
% 117.03/25.24 % (3013857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013857)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013857)Termination reason: Instruction limit
% 117.03/25.24 % (3013857)Termination phase: Saturation
% 117.03/25.24 % (3013857)Time elapsed: 7.322 s
% 117.03/25.24 % (3013857)Peak memory usage: 71 MB
% 117.03/25.24 % (3013857)Instructions burned: 14134 (million)
% 117.03/25.24 % (3013894)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=3985151212:i=26857:ins=20_2846 on theBenchmark for (2846ds/26857Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013896)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=3061626060:i=28120:bs=on:fsr=off_2846 on theBenchmark for (2846ds/28120Mi)
% 117.03/25.24 % (3013817)Instruction limit reached!
% 117.03/25.24 % (3013817)------------------------------
% 117.03/25.24 % (3013817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013817)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013817)Termination reason: Instruction limit
% 117.03/25.24 % (3013817)Termination phase: Saturation
% 117.03/25.24 % (3013817)Time elapsed: 12.710 s
% 117.03/25.24 % (3013817)Peak memory usage: 130 MB
% 117.03/25.24 % (3013817)Instructions burned: 22566 (million)
% 117.03/25.24 % (3013898)fmb+10_1_sil=256000:fmbss=7:random_seed=3846351980:fmbsr=1.6:i=182295_2839 on theBenchmark for (2839ds/182295Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013900)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=2691863710:i=44625:gsp=on_2838 on theBenchmark for (2838ds/44625Mi)
% 117.03/25.24 % (3013900)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 117.03/25.24 % (3013900)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013902)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=3971383658:i=160505_2838 on theBenchmark for (2838ds/160505Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013904)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=273218786:fmbsr=1.3:i=225729_2837 on theBenchmark for (2837ds/225729Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013906)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=1226553701:fmbsr=2:i=185024:ins=7_2836 on theBenchmark for (2836ds/185024Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013908)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=1726830131:rtra=on_2835 on theBenchmark for (2835ds/0Mi)
% 117.03/25.24 % Exception at run slice level
% 117.03/25.24 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.03/25.24 % (3013910)% WARNING: option uhcvi not known.
% 117.03/25.24 % (3013910)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1129506586:i=271062:add=off:rtra=on:rawr=on_2835 on theBenchmark for (2835ds/271062Mi)
% 117.03/25.24 % (3013910)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 117.03/25.24 % (3013910)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 117.03/25.24 % (3013873)Instruction limit reached!
% 117.03/25.24 % (3013873)------------------------------
% 117.03/25.24 % (3013873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.24 % (3013873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.24 % (3013873)CaDiCaL version: 2.1.3
% 117.03/25.24 % (3013873)Termination reason: Instruction limit
% 117.03/25.24 % (3013873)Termination phase: Saturation
% 117.03/25.24 % (3013873)Time elapsed: 7.122 s
% 117.03/25.24 % (3013873)Peak memory usage: 35 MB
% 117.03/25.24 % (3013873)Instructions burned: 15851 (million)
% 117.03/25.24 % (3013929)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3617495211:i=176048:add=on:rtra=on:rawr=on_2799 on theBenchmark for (2799ds/176048Mi)
% 117.03/25.24 % (3013716) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3013710-3013716"...
% 117.03/25.24 % (3013716)...printing done.
% 117.03/25.24 % (3013716)Refutation found. Thanks to Tanya!
% 117.03/25.24 % SZS status Theorem for theBenchmark
% 117.03/25.24 % SZS output start Proof for theBenchmark
% 117.03/25.24 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 117.03/25.24 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 117.03/25.24 thf(type_def_7, type, set: $tType > $tType).
% 117.03/25.24 thf(type_def_8, type, nat: $tType).
% 117.03/25.24 thf(type_def_9, type, itself: $tType > $tType).
% 117.03/25.24 thf(type_def_10, type, a: $tType).
% 117.03/25.24 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 117.03/25.24 thf(func_def_0, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_1, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 117.03/25.24 thf(func_def_2, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_3, type, coinductive_lconcat: !>[X0: $tType]:((coinductive_llist @ coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_4, type, coinductive_ldropn: !>[X0: $tType]:((nat > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_5, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_6, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.24 thf(func_def_7, type, coinductive_llexord: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_8, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_9, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 117.03/25.24 thf(func_def_10, type, coindu1381640503_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coinductive_llist @ X1 > X0) > coinductive_llist @ X1 > X0))).
% 117.03/25.24 thf(func_def_11, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.24 thf(func_def_12, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_13, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 117.03/25.24 thf(func_def_14, type, coinductive_ltl: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_15, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_16, type, coinductive_lprefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_17, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_18, type, coindu501562517eWhile: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_19, type, coinductive_lzip: !>[X0: $tType, X1: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X1 > coinductive_llist @ product_prod @ X0 @ X1))).
% 117.03/25.24 thf(func_def_20, type, coinductive_lsorted: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_21, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 117.03/25.24 thf(func_def_22, type, undefined: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_23, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 117.03/25.24 thf(func_def_24, type, lMirro427583474mirror: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_25, type, lMirro999291890or_aux: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_26, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 117.03/25.24 thf(func_def_27, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 117.03/25.24 thf(func_def_28, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 117.03/25.24 thf(func_def_29, type, type: !>[X0: $tType]:(itself @ X0)).
% 117.03/25.24 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 117.03/25.24 thf(func_def_31, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 117.03/25.24 thf(func_def_32, type, acc: coinductive_llist @ a).
% 117.03/25.24 thf(func_def_33, type, acca: coinductive_llist @ a).
% 117.03/25.24 thf(func_def_34, type, xs: coinductive_llist @ a).
% 117.03/25.24 thf(func_def_35, type, xsa: coinductive_llist @ a).
% 117.03/25.24 thf(func_def_39, type, vNOT: ($o > $o)).
% 117.03/25.24 thf(func_def_40, type, vOR: ($o > $o > $o)).
% 117.03/25.24 thf(func_def_41, type, vAND: ($o > $o > $o)).
% 117.03/25.24 thf(func_def_42, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 117.03/25.24 thf(func_def_43, type, db0: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_44, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 117.03/25.24 thf(func_def_45, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 117.03/25.24 thf(func_def_46, type, db1: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_47, type, db2: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_48, type, db5: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_49, type, db3: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_50, type, db4: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_51, type, db6: !>[X0: $tType]:(X0)).
% 117.03/25.24 thf(func_def_52, type, vIMP: ($o > $o > $o)).
% 117.03/25.24 thf(func_def_53, type, sP0: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > $o))).
% 117.03/25.24 thf(func_def_54, type, sP1: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 117.03/25.24 thf(func_def_55, type, sK2: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_56, type, sK3: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_57, type, sK4: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_58, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 117.03/25.24 thf(func_def_59, type, sK6: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_60, type, sK7: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.24 thf(func_def_61, type, sK8: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_62, type, sK9: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_63, type, sK10: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.24 thf(func_def_64, type, sK11: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_65, type, sK12: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_66, type, sK13: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_67, type, sK14: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_68, type, sK15: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_69, type, sK16: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_70, type, sK17: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_71, type, sK18: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_72, type, sK19: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_73, type, sK20: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.24 thf(func_def_74, type, sK21: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_75, type, sK22: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_76, type, sK23: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_77, type, sK24: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_78, type, sK25: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_79, type, sK26: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_80, type, sK27: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 117.03/25.24 thf(func_def_81, type, sK28: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_82, type, sK29: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_83, type, sK30: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_84, type, sK31: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_85, type, sK32: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_86, type, sK33: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_87, type, sK34: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_88, type, sK35: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_89, type, sK36: !>[X0: $tType]:(((X0 > X0 > $o) > (coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_90, type, sK37: !>[X0: $tType]:(((X0 > X0 > $o) > (coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_91, type, sK38: !>[X0: $tType]:(((X0 > X0 > $o) > (coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_92, type, sK39: !>[X0: $tType]:(((X0 > X0 > $o) > (coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_93, type, sK40: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 117.03/25.25 thf(func_def_94, type, sK41: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_95, type, sK42: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 117.03/25.25 thf(func_def_96, type, sK43: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 117.03/25.25 thf(func_def_97, type, sK44: !>[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))).
% 117.03/25.25 thf(func_def_98, type, sK45: !>[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))).
% 117.03/25.25 thf(func_def_99, type, sK46: !>[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))).
% 117.03/25.25 thf(func_def_100, type, sK47: !>[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))).
% 117.03/25.25 thf(func_def_101, type, sK48: !>[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))).
% 117.03/25.25 thf(func_def_102, type, sK49: !>[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))).
% 117.03/25.25 thf(func_def_103, type, sK50: !>[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))).
% 117.03/25.25 thf(func_def_104, type, sK51: !>[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))).
% 117.03/25.25 thf(func_def_105, type, sK52: !>[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))).
% 117.03/25.25 thf(func_def_106, type, sK53: !>[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))).
% 117.03/25.25 thf(func_def_107, type, sK54: !>[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))).
% 117.03/25.25 thf(func_def_108, type, sK55: !>[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))).
% 117.03/25.25 thf(func_def_109, type, sK56: !>[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))).
% 117.03/25.25 thf(func_def_110, type, sK57: !>[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))).
% 117.03/25.25 thf(func_def_111, type, sK58: !>[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))).
% 117.03/25.25 thf(func_def_112, type, sK59: !>[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))).
% 117.03/25.25 thf(func_def_113, type, sK60: !>[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))).
% 117.03/25.25 thf(func_def_114, type, sK61: !>[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))).
% 117.03/25.25 thf(func_def_115, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 117.03/25.25 thf(func_def_116, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 117.03/25.25 thf(func_def_117, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 117.03/25.25 thf(func_def_118, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_119, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 117.03/25.25 thf(func_def_120, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 117.03/25.25 thf(func_def_121, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_122, type, sK69: !>[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))).
% 117.03/25.25 thf(func_def_123, type, sK70: !>[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))).
% 117.03/25.25 thf(func_def_124, type, sK71: !>[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))).
% 117.03/25.25 thf(func_def_125, type, sK72: !>[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))).
% 117.03/25.25 thf(func_def_126, type, sK73: !>[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))).
% 117.03/25.25 thf(func_def_127, type, sK74: !>[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))).
% 117.03/25.25 thf(func_def_128, type, sK75: !>[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))).
% 117.03/25.25 thf(func_def_129, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 117.03/25.25 thf(func_def_130, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 117.03/25.25 thf(func_def_131, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 117.03/25.25 thf(func_def_132, type, sK79: !>[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))).
% 117.03/25.25 thf(func_def_133, type, sK80: !>[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))).
% 117.03/25.25 thf(func_def_134, type, sK81: !>[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))).
% 117.03/25.25 thf(func_def_135, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 117.03/25.25 thf(func_def_136, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 117.03/25.25 thf(func_def_137, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 117.03/25.25 thf(func_def_138, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 117.03/25.25 thf(func_def_139, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 117.03/25.25 thf(func_def_140, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 117.03/25.25 thf(func_def_141, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 117.03/25.25 thf(func_def_142, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 117.03/25.25 thf(func_def_143, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 117.03/25.25 thf(func_def_144, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 117.03/25.25 thf(func_def_145, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 117.03/25.25 thf(func_def_146, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 117.03/25.25 thf(func_def_147, type, sK94: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 117.03/25.25 thf(func_def_148, type, sK95: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_149, type, sK96: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 117.03/25.25 thf(func_def_150, type, sK97: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 117.03/25.25 thf(func_def_151, type, sK98: !>[X0: $tType]:(((X0 > X0 > $o) > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_152, type, sK99: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_153, type, sK100: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_154, type, sK101: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_155, type, sK102: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_156, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_157, type, sK104: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_158, type, sK105: !>[X0: $tType]:((set @ product_prod @ coinductive_llist @ X0 @ coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_159, type, sK106: !>[X0: $tType]:((set @ product_prod @ coinductive_llist @ X0 @ coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_160, type, sK107: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_161, type, sK108: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_162, type, sK109: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_163, type, sK110: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_164, type, sK111: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_165, type, sK112: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_166, type, sK113: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_167, type, sK114: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_168, type, sK115: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_169, type, sK116: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_170, type, sK117: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_171, type, sK118: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_172, type, sK119: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_173, type, sK120: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_174, type, sK121: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_175, type, sK122: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_176, type, sK123: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_177, type, sK124: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_178, type, sK125: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_179, type, sK126: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_180, type, sK127: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_181, type, sK128: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_182, type, sK129: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_183, type, sK130: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_184, type, sK131: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_185, type, sK132: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_186, type, sK133: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_187, type, sK134: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_188, type, sK135: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_189, type, sK136: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_190, type, sK137: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_191, type, sK138: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_192, type, sK139: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_193, type, sK140: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_194, type, sK141: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_195, type, sK142: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_196, type, sK143: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_197, type, sK144: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_198, type, sK145: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_199, type, sK146: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_200, type, sK147: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_201, type, sK148: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_202, type, sK149: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_203, type, sK150: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_204, type, sK151: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_205, type, sK152: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_206, type, sK153: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_207, type, sK154: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_208, type, sK155: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_209, type, sK156: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_210, type, sK157: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_211, type, sK158: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_212, type, sK159: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_213, type, sK160: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_214, type, sK161: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_215, type, sK162: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_216, type, sK163: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_217, type, sK164: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_218, type, sK165: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_219, type, sK166: !>[X0: $tType]:((coinductive_llist @ coinductive_llist @ X0 > coinductive_llist @ coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_220, type, sK167: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_221, type, sK168: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_222, type, sK169: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_223, type, sK170: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_224, type, sK171: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_225, type, sK172: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_226, type, sK173: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_227, type, sK174: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_228, type, sK175: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_229, type, sK176: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_230, type, sK177: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_231, type, sK178: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_232, type, sK179: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_233, type, sK180: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_234, type, sK181: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_235, type, sK182: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_236, type, sK183: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_237, type, sK184: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_238, type, sK185: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_239, type, sK186: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_240, type, sK187: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_241, type, sK188: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_242, type, sK189: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_243, type, sK190: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_244, type, sK191: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_245, type, sK192: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_246, type, sK193: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_247, type, sK194: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_248, type, sK195: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_249, type, sK196: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_250, type, sK197: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_251, type, sK198: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_252, type, sK199: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_253, type, sK200: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_254, type, sK201: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_255, type, sK202: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_256, type, sK203: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_257, type, sK204: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_258, type, sK205: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_259, type, sK206: !>[X0: $tType]:((X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_260, type, sK207: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_261, type, sK208: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_262, type, sK209: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_263, type, sK210: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_264, type, sK211: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_265, type, sK212: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_266, type, sK213: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_267, type, sK214: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_268, type, sK215: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_269, type, sK216: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_270, type, sK217: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_271, type, sK218: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_272, type, sK219: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_273, type, sK220: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_274, type, sK221: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_275, type, sK222: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_276, type, sK223: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_277, type, sK224: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_278, type, sK225: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_279, type, sK226: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_280, type, sK227: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_281, type, sK228: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_282, type, sK229: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_283, type, sK230: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_284, type, sK231: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_285, type, sK232: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_286, type, sK233: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_287, type, sK234: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_288, type, sK235: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_289, type, sK236: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_290, type, sK237: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_291, type, sK238: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_292, type, sK239: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_293, type, sK240: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_294, type, sK241: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_295, type, sK242: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_296, type, sK243: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_297, type, sK244: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_298, type, sK245: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_299, type, sK246: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_300, type, sK247: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_301, type, sK248: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_302, type, sK249: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_303, type, sK250: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_304, type, sK251: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_305, type, sK252: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_306, type, sK253: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_307, type, sK254: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_308, type, sK255: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_309, type, sK256: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_310, type, db11: !>[X0: $tType]:(X0)).
% 117.03/25.25 thf(func_def_311, type, db10: !>[X0: $tType]:(X0)).
% 117.03/25.25 thf(func_def_312, type, db9: !>[X0: $tType]:(X0)).
% 117.03/25.25 thf(func_def_313, type, sK257: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_314, type, sK258: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_315, type, sK259: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_316, type, sK260: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_317, type, sK261: !>[X0: $tType, X1: $tType]:((coinductive_llist @ product_prod @ X1 @ X0 > coinductive_llist @ X0 > product_prod @ X1 @ X0 > coinductive_llist @ X1 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_318, type, sK262: !>[X0: $tType, X1: $tType]:((coinductive_llist @ product_prod @ X1 @ X0 > product_prod @ X1 @ X0 > coinductive_llist @ X0 > coinductive_llist @ X1 > X0))).
% 117.03/25.25 thf(func_def_319, type, sK263: !>[X0: $tType, X1: $tType]:((coinductive_llist @ product_prod @ X1 @ X0 > product_prod @ X1 @ X0 > coinductive_llist @ X0 > coinductive_llist @ X1 > coinductive_llist @ X1))).
% 117.03/25.25 thf(func_def_320, type, sK264: !>[X0: $tType, X1: $tType]:((coinductive_llist @ product_prod @ X1 @ X0 > product_prod @ X1 @ X0 > coinductive_llist @ X0 > coinductive_llist @ X1 > X1))).
% 117.03/25.25 thf(func_def_321, type, sK265: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_322, type, sK266: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_323, type, sK267: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_324, type, sK268: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_325, type, sK269: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_326, type, sK270: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_327, type, sK271: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_328, type, sK272: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_329, type, sK273: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_330, type, sK274: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_331, type, sK275: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_332, type, sK276: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_333, type, sK277: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_334, type, sK278: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_335, type, sK279: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_336, type, sK280: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_337, type, sK281: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_338, type, sK282: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_339, type, sK283: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_340, type, sK284: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_341, type, sK285: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_342, type, sK286: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_343, type, sK287: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_344, type, sK288: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_345, type, sK289: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0))).
% 117.03/25.25 thf(func_def_346, type, sK290: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_347, type, sK291: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_348, type, sK292: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0))).
% 117.03/25.25 thf(func_def_349, type, sK293: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_350, type, sK294: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_351, type, sK295: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_352, type, sK296: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0))).
% 117.03/25.25 thf(func_def_353, type, sK297: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_354, type, sK298: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0))).
% 117.03/25.25 thf(func_def_355, type, sK299: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_356, type, sK300: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_357, type, sK301: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0))).
% 117.03/25.25 thf(func_def_358, type, sK302: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_359, type, sK303: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0))).
% 117.03/25.25 thf(func_def_360, type, sK304: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_361, type, sK305: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_362, type, sK306: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_363, type, sK307: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_364, type, sK308: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_365, type, sK309: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_366, type, sK310: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_367, type, sK311: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_368, type, sK312: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_369, type, sK313: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_370, type, sK314: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_371, type, sK315: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_372, type, sK316: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_373, type, sK317: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_374, type, sK318: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_375, type, sK319: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_376, type, sK320: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_377, type, sK321: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_378, type, sK322: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_379, type, sK323: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_380, type, sK324: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_381, type, sK325: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_382, type, sK326: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_383, type, sK327: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_384, type, sK328: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_385, type, sK329: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_386, type, sK330: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_387, type, sK331: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_388, type, sK332: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_389, type, sK333: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_390, type, sK334: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_391, type, sK335: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_392, type, sK336: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_393, type, sK337: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_394, type, sK338: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_395, type, sK339: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_396, type, sK340: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_397, type, sK341: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_398, type, sK342: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_399, type, sK343: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_400, type, sK344: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_401, type, sK345: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_402, type, sK346: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_403, type, sK347: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_404, type, sK348: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_405, type, sK349: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_406, type, sK350: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_407, type, sK351: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_408, type, sK352: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_409, type, sK353: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_410, type, sK354: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_411, type, sK355: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_412, type, sK356: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_413, type, sK357: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_414, type, sK358: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_415, type, sK359: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_416, type, sK360: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_417, type, sK361: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_418, type, sK362: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_419, type, sK363: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_420, type, sK364: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_421, type, sK365: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_422, type, sK366: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_423, type, sK367: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_424, type, sK368: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_425, type, sK369: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_426, type, sK370: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_427, type, sK371: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_428, type, sK372: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_429, type, sK373: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_430, type, sK374: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_431, type, sK375: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_432, type, sK376: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_433, type, sK377: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_434, type, sK378: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_435, type, sK379: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_436, type, sK380: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_437, type, sK381: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_438, type, sK382: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_439, type, sK383: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_440, type, sK384: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_441, type, sK385: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_442, type, sK386: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_443, type, sK387: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_444, type, sK388: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_445, type, sK389: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_446, type, sK390: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_447, type, sK391: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_448, type, sK392: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_449, type, sK393: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_450, type, sK394: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_451, type, sK395: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_452, type, sK396: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_453, type, sK397: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_454, type, sK398: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_455, type, sK399: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_456, type, sK400: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_457, type, sK401: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_458, type, sK402: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 117.03/25.25 thf(func_def_459, type, sK403: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_460, type, sK404: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_461, type, sK405: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_462, type, sK406: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_463, type, sK407: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_464, type, sK408: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_465, type, sK409: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_466, type, sK410: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_467, type, sK411: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_468, type, sK412: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_469, type, sK413: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_470, type, sK414: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_471, type, sK415: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_472, type, sK416: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_473, type, sK417: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_474, type, sK418: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_475, type, sK419: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_476, type, sK420: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_477, type, sK421: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_478, type, sK422: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_479, type, sK423: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_480, type, sK424: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_481, type, sK425: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_482, type, sK426: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_483, type, sK427: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_484, type, sK428: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_485, type, sK429: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_486, type, sK430: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_487, type, sK431: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_488, type, sK432: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_489, type, sK433: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_490, type, sK434: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_491, type, sK435: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_492, type, sK436: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_493, type, sK437: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_494, type, sK438: !>[X0: $tType]:((X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_496, type, sK440: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 117.03/25.25 thf(func_def_497, type, sK441: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 117.03/25.25 thf(func_def_498, type, db8: !>[X0: $tType]:(X0)).
% 117.03/25.25 thf(func_def_499, type, db7: !>[X0: $tType]:(X0)).
% 117.03/25.25 thf(f3,axiom,(
% 117.03/25.25 (coinductive_lfinite @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_LCons_Ohyps_I1_J)).
% 117.03/25.25 thf(f4,axiom,(
% 117.03/25.25 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) = ((lMirro999291890or_aux @ a @ X0 @ X1))) => ((coinductive_lfinite @ a @ X0) & (coinductive_lfinite @ a @ X1)))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_LCons_Ohyps_I3_J)).
% 117.03/25.25 thf(f5,axiom,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (((coinductive_lfinite @ X0 @ (coinductive_ltl @ X0 @ X1))) = ((coinductive_lfinite @ X0 @ X1)))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_lfinite__ltl)).
% 117.03/25.25 thf(f6,axiom,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((coinductive_lnull @ X0 @ X1) => (coinductive_lfinite @ X0 @ X1))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_lnull__imp__lfinite)).
% 117.03/25.25 thf(f16,axiom,(
% 117.03/25.25 ! [X0 : $tType,X1 : X0,X2 : coinductive_llist @ X0] : (((coinductive_lfinite @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))) = ((coinductive_lfinite @ X0 @ X2)))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_lfinite__LCons)).
% 117.03/25.25 thf(f25,axiom,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (((lMirro999291890or_aux @ X0 @ X1 @ coinductive_LNil @ X0)) = X1)),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_lmirror__aux__simps_I1_J)).
% 117.03/25.25 thf(f59,axiom,(
% 117.03/25.25 ! [X0 : $tType] : (coinductive_lnull @ X0 = (^[X1 : coinductive_llist @ X0] : ((X1 = coinductive_LNil @ X0))))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_lnull__def)).
% 117.03/25.25 thf(f68,axiom,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0] : ((~(coinductive_lnull @ X0 @ X1) => (((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1))))) & ((coinductive_lnull @ X0 @ X1) => (((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((coinductive_ltl @ X0 @ X2)))))),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_ltl__lmirror__aux)).
% 117.03/25.25 thf(f258,conjecture,(
% 117.03/25.25 (coinductive_lfinite @ a @ acca) & (coinductive_lfinite @ a @ xsa)),
% 117.03/25.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 117.03/25.25 thf(f259,negated_conjecture,(
% 117.03/25.25 ~((coinductive_lfinite @ a @ acca) & (coinductive_lfinite @ a @ xsa))),
% 117.03/25.25 inference(negated_conjecture,[status(cth)],[f258])).
% 117.03/25.25 thf(f264,plain,(
% 117.03/25.25 (coinductive_lfinite @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))),
% 117.03/25.25 inference(rectify,[],[f3])).
% 117.03/25.25 thf(f265,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) = $true)),
% 117.03/25.25 inference(fool_elimination,[],[f264])).
% 117.03/25.25 thf(f266,plain,(
% 117.03/25.25 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) = ((lMirro999291890or_aux @ a @ X0 @ X1))) => ((coinductive_lfinite @ a @ X0) & (coinductive_lfinite @ a @ X1)))),
% 117.03/25.25 inference(rectify,[],[f4])).
% 117.03/25.25 thf(f267,plain,(
% 117.03/25.25 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) = ((lMirro999291890or_aux @ a @ X0 @ X1))) => ((((coinductive_lfinite @ a @ X0)) = $true) & (((coinductive_lfinite @ a @ X1)) = $true)))),
% 117.03/25.25 inference(fool_elimination,[],[f266])).
% 117.03/25.25 thf(f268,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((coinductive_lnull @ X0 @ X1) => (coinductive_lfinite @ X0 @ X1))),
% 117.03/25.25 inference(rectify,[],[f6])).
% 117.03/25.25 thf(f269,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lnull @ X0 @ X1)) = $true) => (((coinductive_lfinite @ X0 @ X1)) = $true))),
% 117.03/25.25 inference(fool_elimination,[],[f268])).
% 117.03/25.25 thf(f338,plain,(
% 117.03/25.25 ! [X0 : $tType] : (coinductive_lnull @ X0 = (^[Y0 : coinductive_llist @ X0]: (coinductive_LNil @ X0 = Y0)))),
% 117.03/25.25 inference(fool_elimination,[],[f59])).
% 117.03/25.25 thf(f352,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0] : ((~(coinductive_lnull @ X0 @ X1) => (((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1))))) & ((coinductive_lnull @ X0 @ X1) => (((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((coinductive_ltl @ X0 @ X2)))))),
% 117.03/25.25 inference(rectify,[],[f68])).
% 117.03/25.25 thf(f353,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0] : ((~ (((coinductive_lnull @ X0 @ X1)) = $true) => (((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1))))) & ((((coinductive_lnull @ X0 @ X1)) = $true) => (((coinductive_ltl @ X0 @ X2)) = ((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))))))),
% 117.03/25.25 inference(fool_elimination,[],[f352])).
% 117.03/25.25 thf(f654,plain,(
% 117.03/25.25 ~((coinductive_lfinite @ a @ acca) & (coinductive_lfinite @ a @ xsa))),
% 117.03/25.25 inference(rectify,[],[f259])).
% 117.03/25.25 thf(f655,plain,(
% 117.03/25.25 ~((((coinductive_lfinite @ a @ acca)) = $true) & (((coinductive_lfinite @ a @ xsa)) = $true))),
% 117.03/25.25 inference(fool_elimination,[],[f654])).
% 117.03/25.25 thf(f669,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0] : (((((coinductive_lnull @ X0 @ X1)) != $true) => (((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1))))) & ((((coinductive_lnull @ X0 @ X1)) = $true) => (((coinductive_ltl @ X0 @ X2)) = ((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))))))),
% 117.03/25.25 inference(flattening,[],[f353])).
% 117.03/25.25 thf(f718,plain,(
% 117.03/25.25 ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : (((((coinductive_lfinite @ a @ X0)) = $true) & (((coinductive_lfinite @ a @ X1)) = $true)) | (((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) != ((lMirro999291890or_aux @ a @ X0 @ X1))))),
% 117.03/25.25 inference(ennf_transformation,[],[f267])).
% 117.03/25.25 thf(f719,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) = $true) | (((coinductive_lnull @ X0 @ X1)) != $true))),
% 117.03/25.25 inference(ennf_transformation,[],[f269])).
% 117.03/25.25 thf(f756,plain,(
% 117.03/25.25 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0] : (((((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1)))) | (((coinductive_lnull @ X0 @ X1)) = $true)) & ((((coinductive_ltl @ X0 @ X2)) = ((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1)))) | (((coinductive_lnull @ X0 @ X1)) != $true)))),
% 117.03/25.25 inference(ennf_transformation,[],[f669])).
% 117.03/25.25 thf(f905,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ acca)) != $true) | (((coinductive_lfinite @ a @ xsa)) != $true)),
% 117.03/25.25 inference(ennf_transformation,[],[f655])).
% 117.03/25.25 thf(f963,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) = $true)),
% 117.03/25.25 inference(cnf_transformation,[],[f265])).
% 117.03/25.25 thf(f964,plain,(
% 117.03/25.25 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) != ((lMirro999291890or_aux @ a @ X0 @ X1))) | (((coinductive_lfinite @ a @ X1)) = $true)) )),
% 117.03/25.25 inference(cnf_transformation,[],[f718])).
% 117.03/25.25 thf(f965,plain,(
% 117.03/25.25 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) != ((lMirro999291890or_aux @ a @ X0 @ X1))) | (((coinductive_lfinite @ a @ X0)) = $true)) )),
% 117.03/25.25 inference(cnf_transformation,[],[f718])).
% 117.03/25.25 thf(f966,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ (coinductive_ltl @ X0 @ X1))) = ((coinductive_lfinite @ X0 @ X1)))) )),
% 117.03/25.25 inference(cnf_transformation,[],[f5])).
% 117.03/25.25 thf(f967,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) = $true) | (((coinductive_lnull @ X0 @ X1)) != $true)) )),
% 117.03/25.25 inference(cnf_transformation,[],[f719])).
% 117.03/25.25 thf(f985,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : X0] : ((((coinductive_lfinite @ X0 @ X2)) = ((coinductive_lfinite @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))))) )),
% 117.03/25.25 inference(cnf_transformation,[],[f16])).
% 117.03/25.25 thf(f994,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((lMirro999291890or_aux @ X0 @ X1 @ coinductive_LNil @ X0)) = X1)) )),
% 117.03/25.25 inference(cnf_transformation,[],[f25])).
% 117.03/25.25 thf(f1040,plain,(
% 117.03/25.25 ( ! [X0 : $tType] : ((coinductive_lnull @ X0 = (^[Y0 : coinductive_llist @ X0]: (coinductive_LNil @ X0 = Y0)))) )),
% 117.03/25.25 inference(cnf_transformation,[],[f338])).
% 117.03/25.25 thf(f1052,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1)))) | (((coinductive_lnull @ X0 @ X1)) = $true)) )),
% 117.03/25.25 inference(cnf_transformation,[],[f756])).
% 117.03/25.25 thf(f1324,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ acca)) != $true) | (((coinductive_lfinite @ a @ xsa)) != $true)),
% 117.03/25.25 inference(cnf_transformation,[],[f905])).
% 117.03/25.25 thf(f1331,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) = $true) | ($true != (((^[Y0 : coinductive_llist @ X0]: (coinductive_LNil @ X0 = Y0)) @ X1)))) )),
% 117.03/25.25 inference(definition_unfolding,[],[f967,f1040])).
% 117.03/25.25 thf(f1375,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1)))) | ($true = (((^[Y0 : coinductive_llist @ X0]: (coinductive_LNil @ X0 = Y0)) @ X1)))) )),
% 117.03/25.25 inference(definition_unfolding,[],[f1052,f1040])).
% 117.03/25.25 thf(f6162,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1)))) | ($true = ((coinductive_LNil @ X0 = X1)))) )),
% 117.03/25.25 inference(beta-eta_normalization,[],[f1375])).
% 117.03/25.25 thf(f6163,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_ltl @ X0 @ (lMirro999291890or_aux @ X0 @ X2 @ X1))) = ((lMirro999291890or_aux @ X0 @ (coinductive_LCons @ X0 @ (coinductive_lhd @ X0 @ X1) @ X2) @ (coinductive_ltl @ X0 @ X1)))) | (coinductive_LNil @ X0 = X1)) )),
% 117.03/25.25 inference(equality_proxy_clausification,[],[f6162])).
% 117.03/25.25 thf(f6432,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : X0] : ((((coinductive_lfinite @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2))) = $false) | (((coinductive_lfinite @ X0 @ X2)) = $true)) )),
% 117.03/25.25 inference(iff_proxy_clausification,[],[f985])).
% 117.03/25.25 thf(f6497,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ X1)) = $true) | ($true != ((coinductive_LNil @ X0 = X1)))) )),
% 117.03/25.25 inference(beta-eta_normalization,[],[f1331])).
% 117.03/25.25 thf(f6498,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((coinductive_LNil @ X0 != X1) | (((coinductive_lfinite @ X0 @ X1)) = $true)) )),
% 117.03/25.25 inference(equality_proxy_clausification,[],[f6497])).
% 117.03/25.25 thf(f6500,plain,(
% 117.03/25.25 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((((coinductive_lfinite @ X0 @ (coinductive_ltl @ X0 @ X1))) = $false) | (((coinductive_lfinite @ X0 @ X1)) = $true)) )),
% 117.03/25.25 inference(iff_proxy_clausification,[],[f966])).
% 117.03/25.25 thf(f6504,definition,(
% 117.03/25.25 spl439_1 <=> (((coinductive_lfinite @ a @ xsa)) = $true)),
% 117.03/25.25 introduced(definition,[new_symbols(definition,[spl439_1])],[avatar_definition])).
% 117.03/25.25 thf(f6506,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ xsa)) != $true) | spl439_1),
% 117.03/25.25 inference(avatar_component_clause,[],[f6504])).
% 117.03/25.25 thf(f6508,definition,(
% 117.03/25.25 spl439_2 <=> (((coinductive_lfinite @ a @ acca)) = $true)),
% 117.03/25.25 introduced(definition,[new_symbols(definition,[spl439_2])],[avatar_definition])).
% 117.03/25.25 thf(f6510,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ acca)) != $true) | spl439_2),
% 117.03/25.25 inference(avatar_component_clause,[],[f6508])).
% 117.03/25.25 thf(f6511,plain,(
% 117.03/25.25 ~spl439_1 | ~spl439_2),
% 117.03/25.25 inference(avatar_split_clause,[],[f1324,f6508,f6504])).
% 117.03/25.25 thf(f13714,plain,(
% 117.03/25.25 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) != ((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ X0 @ X1)))) | ($true = ((coinductive_lfinite @ a @ (coinductive_LCons @ a @ (coinductive_lhd @ a @ X1) @ X0)))) | (coinductive_LNil @ a = X1)) )),
% 117.03/25.25 inference(constrained_superposition,[],[f965,f6163])).
% 117.03/25.25 thf(f13715,plain,(
% 117.03/25.25 ( ! [X0 : coinductive_llist @ a,X1 : coinductive_llist @ a] : ((((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ acca @ xsa))) != ((coinductive_ltl @ a @ (lMirro999291890or_aux @ a @ X0 @ X1)))) | ($true = ((coinductive_lfinite @ a @ (coinductive_ltl @ a @ X1)))) | (coinductive_LNil @ a = X1)) )),
% 117.03/25.25 inference(constrained_superposition,[],[f964,f6163])).
% 117.03/25.25 thf(f22105,definition,(
% 117.03/25.25 spl439_832 <=> (xsa = coinductive_LNil @ a)),
% 117.03/25.25 introduced(definition,[new_symbols(definition,[spl439_832])],[avatar_definition])).
% 117.03/25.25 thf(f22106,plain,(
% 117.03/25.25 (xsa != coinductive_LNil @ a) | spl439_832),
% 117.03/25.25 inference(avatar_component_clause,[],[f22105])).
% 117.03/25.25 thf(f22107,plain,(
% 117.03/25.25 (xsa = coinductive_LNil @ a) | ~spl439_832),
% 117.03/25.25 inference(avatar_component_clause,[],[f22105])).
% 117.03/25.25 thf(f26761,plain,(
% 117.03/25.25 ( ! [X0 : coinductive_llist @ a] : ((((lMirro999291890or_aux @ a @ X0 @ xsa)) = X0)) ) | ~spl439_832),
% 117.03/25.25 inference(constrained_superposition,[],[f994,f22107])).
% 117.03/25.25 thf(f26795,plain,(
% 117.03/25.25 ( ! [X0 : coinductive_llist @ a] : ((xsa != X0) | (((coinductive_lfinite @ a @ X0)) = $true)) ) | ~spl439_832),
% 117.03/25.25 inference(constrained_superposition,[],[f6498,f22107])).
% 117.03/25.25 thf(f29550,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ xsa)) = $true) | ~spl439_832),
% 117.03/25.25 inference(equality_resolution,[],[f26795])).
% 117.03/25.25 thf(f34203,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ acca)) = $true) | ~spl439_832),
% 117.03/25.25 inference(constrained_superposition,[],[f963,f26761])).
% 117.03/25.25 thf(f34213,plain,(
% 117.03/25.25 $false | (spl439_2 | ~spl439_832)),
% 117.03/25.25 inference(forward_subsumption_resolution,[],[f34203,f6510])).
% 117.03/25.25 thf(f34214,plain,(
% 117.03/25.25 spl439_2 | ~spl439_832),
% 117.03/25.25 inference(avatar_contradiction_clause,[],[f34213])).
% 117.03/25.25 thf(f69178,plain,(
% 117.03/25.25 $false | (spl439_1 | ~spl439_832)),
% 117.03/25.25 inference(forward_subsumption_resolution,[],[f29550,f6506])).
% 117.03/25.25 thf(f69179,plain,(
% 117.03/25.25 spl439_1 | ~spl439_832),
% 117.03/25.25 inference(avatar_contradiction_clause,[],[f69178])).
% 117.03/25.25 thf(f193220,definition,(
% 117.03/25.25 spl439_5881 <=> ($true = ((coinductive_lfinite @ a @ (coinductive_ltl @ a @ xsa))))),
% 117.03/25.25 introduced(definition,[new_symbols(definition,[spl439_5881])],[avatar_definition])).
% 117.03/25.25 thf(f193222,plain,(
% 117.03/25.25 ($true = ((coinductive_lfinite @ a @ (coinductive_ltl @ a @ xsa)))) | ~spl439_5881),
% 117.03/25.25 inference(avatar_component_clause,[],[f193220])).
% 117.03/25.25 thf(f212016,plain,(
% 117.03/25.25 ($true = $false) | (((coinductive_lfinite @ a @ xsa)) = $true) | ~spl439_5881),
% 117.03/25.25 inference(constrained_superposition,[],[f193222,f6500])).
% 117.03/25.25 thf(f212042,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ xsa)) = $true) | ~spl439_5881),
% 117.03/25.25 inference(trivial_inequality_removal,[],[f212016])).
% 117.03/25.25 thf(f267773,plain,(
% 117.03/25.25 ($true = ((coinductive_lfinite @ a @ (coinductive_ltl @ a @ xsa)))) | (xsa = coinductive_LNil @ a)),
% 117.03/25.25 inference(equality_resolution,[],[f13715])).
% 117.03/25.25 thf(f335993,plain,(
% 117.03/25.25 ($true = ((coinductive_lfinite @ a @ (coinductive_LCons @ a @ (coinductive_lhd @ a @ xsa) @ acca)))) | (xsa = coinductive_LNil @ a)),
% 117.03/25.25 inference(equality_resolution,[],[f13714])).
% 117.03/25.25 thf(f336007,plain,(
% 117.03/25.25 ($true = ((coinductive_lfinite @ a @ (coinductive_LCons @ a @ (coinductive_lhd @ a @ xsa) @ acca)))) | spl439_832),
% 117.03/25.25 inference(forward_subsumption_resolution,[],[f335993,f22106])).
% 117.03/25.25 thf(f336661,plain,(
% 117.03/25.25 ($true = $false) | (((coinductive_lfinite @ a @ acca)) = $true) | spl439_832),
% 117.03/25.25 inference(constrained_superposition,[],[f6432,f336007])).
% 117.03/25.25 thf(f336714,plain,(
% 117.03/25.25 (((coinductive_lfinite @ a @ acca)) = $true) | spl439_832),
% 117.03/25.25 inference(trivial_inequality_removal,[],[f336661])).
% 117.03/25.25 thf(f357866,plain,(
% 117.03/25.25 spl439_2 | spl439_832),
% 117.03/25.25 inference(avatar_split_clause,[],[f336714,f22105,f6508])).
% 117.03/25.25 thf(f357922,plain,(
% 117.03/25.25 spl439_1 | ~spl439_5881),
% 117.03/25.25 inference(avatar_split_clause,[],[f212042,f193220,f6504])).
% 117.03/25.25 thf(f360325,plain,(
% 117.03/25.25 ($true = ((coinductive_lfinite @ a @ (coinductive_ltl @ a @ xsa)))) | spl439_832),
% 117.03/25.25 inference(forward_subsumption_resolution,[],[f267773,f22106])).
% 117.03/25.25 thf(f360415,plain,(
% 117.03/25.25 spl439_5881 | spl439_832),
% 117.03/25.25 inference(avatar_split_clause,[],[f360325,f22105,f193220])).
% 117.03/25.25 cnf(s1, plain, ~spl439_1 | ~spl439_2, inference(sat_conversion,[],[f6511])).
% 117.03/25.25 cnf(s3660, plain, spl439_2 | ~spl439_832, inference(sat_conversion,[],[f34214])).
% 117.03/25.25 cnf(s9442, plain, spl439_1 | ~spl439_832, inference(sat_conversion,[],[f69179])).
% 117.03/25.25 cnf(s61692, plain, spl439_2 | spl439_832, inference(sat_conversion,[],[f357866])).
% 117.03/25.25 cnf(s61731, plain, spl439_1 | ~spl439_5881, inference(sat_conversion,[],[f357922])).
% 117.03/25.25 cnf(s63951, plain, spl439_832 | spl439_5881, inference(sat_conversion,[],[f360415])).
% 117.03/25.25 cnf(s66269, plain, spl439_1, inference(rat,[],[s63951,s9442,s61731])).
% 117.03/25.25 cnf(s66550, plain, ~spl439_2, inference(rat,[],[s1,s66269])).
% 117.03/25.25 cnf(s66552, plain, spl439_832, inference(rat,[],[s61692,s66550])).
% 117.03/25.25 cnf(s66561, plain, $false, inference(rat,[],[s3660,s66552,s66550])).
% 117.03/25.25 thf(f360431,plain,(
% 117.03/25.25 $false),
% 117.03/25.25 inference(avatar_sat_refutation,[],[s66561])).
% 117.03/25.25 % SZS output end Proof for theBenchmark
% 117.03/25.25 % (3013716)------------------------------
% 117.03/25.25 % (3013716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.03/25.25 % (3013716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.03/25.25 % (3013716)CaDiCaL version: 2.1.3
% 117.03/25.25 % (3013716)Termination reason: Refutation
% 117.03/25.25 % (3013716)Time elapsed: 24.895 s
% 117.03/25.25 % (3013716)Peak memory usage: 182 MB
% 117.03/25.25 % (3013716)Instructions burned: 80607 (million)
% 117.03/25.25 % (3013710)Success in time 25.004 s
% 117.03/25.25 % Vampire exiting
%------------------------------------------------------------------------------