%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP202^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:11:06 AM UTC 2026
% Result : Theorem 20.69s 3.25s
% Output : Refutation 20.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP202^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:11:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.49/1.04 % (1783955)Will run a generic schedule for satisfiability detection.
% 5.49/1.04 % (1783961)% WARNING: option uhcvi not known.
% 5.49/1.04 % (1783961)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1344503817:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.49/1.04 % (1783960)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3175576639_2999 on theBenchmark for (2999ds/0Mi)
% 5.49/1.04 % (1783962)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3920800447:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.49/1.04 % (1783963)dis+10_1_sil=32000:sp=arity:random_seed=1530933503:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.49/1.04 % (1783964)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3211762300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.49/1.04 % (1783965)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2708293270:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.49/1.04 % (1783966)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3604904384:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.49/1.04 % (1783961)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.49/1.04 % (1783964)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.49/1.04 % (1783961)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.49/1.04 % (1783963)Instruction limit reached!
% 5.49/1.04 % (1783963)------------------------------
% 5.49/1.04 % (1783963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (1783963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (1783963)CaDiCaL version: 2.1.3
% 5.49/1.04 % (1783963)Termination reason: Instruction limit
% 5.49/1.04 % (1783963)Termination phase: Property scanning
% 5.49/1.04 % (1783963)Time elapsed: 0.044 s
% 5.49/1.04 % (1783963)Peak memory usage: 11 MB
% 5.49/1.04 % (1783963)Instructions burned: 103 (million)
% 5.49/1.04 % (1783964)Instruction limit reached!
% 5.49/1.04 % (1783964)------------------------------
% 5.49/1.04 % (1783964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (1783964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (1783964)CaDiCaL version: 2.1.3
% 5.49/1.04 % (1783964)Termination reason: Instruction limit
% 5.49/1.04 % (1783964)Termination phase: Property scanning
% 5.49/1.04 % (1783964)Time elapsed: 0.049 s
% 5.49/1.04 % (1783964)Peak memory usage: 11 MB
% 5.49/1.04 % (1783964)Instructions burned: 117 (million)
% 5.49/1.04 % (1783965)Instruction limit reached!
% 5.49/1.04 % (1783965)------------------------------
% 5.49/1.04 % (1783965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (1783965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (1783965)CaDiCaL version: 2.1.3
% 5.49/1.04 % (1783965)Termination reason: Instruction limit
% 5.49/1.04 % (1783965)Termination phase: Property scanning
% 5.49/1.04 % (1783965)Time elapsed: 0.056 s
% 5.49/1.04 % (1783965)Peak memory usage: 12 MB
% 5.49/1.04 % (1783965)Instructions burned: 132 (million)
% 5.49/1.04 % (1783974)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3236555122:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.49/1.04 % (1783975)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1908784920:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.49/1.04 % (1783966)Instruction limit reached!
% 5.49/1.04 % (1783966)------------------------------
% 5.49/1.04 % (1783966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (1783966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (1783966)CaDiCaL version: 2.1.3
% 5.49/1.04 % (1783966)Termination reason: Instruction limit
% 5.49/1.04 % (1783966)Termination phase: Property scanning
% 5.49/1.04 % (1783966)Time elapsed: 0.070 s
% 5.49/1.04 % (1783966)Peak memory usage: 12 MB
% 5.49/1.04 % (1783966)Instructions burned: 160 (million)
% 5.49/1.04 % Exception at run slice level
% 5.49/1.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.49/1.04 % (1783976)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=2123514291:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 19.71/3.03 % (1783979)ott-21_1_sil=16000:fs=off:random_seed=4129886499:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 19.71/3.03 % (1783980)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=41469755:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 19.71/3.03 % (1783976)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.71/3.03 % (1783975)Instruction limit reached!
% 19.71/3.03 % (1783975)------------------------------
% 19.71/3.03 % (1783975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.03 % (1783975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.03 % (1783975)CaDiCaL version: 2.1.3
% 19.71/3.03 % (1783975)Termination reason: Instruction limit
% 19.71/3.03 % (1783975)Termination phase: Property scanning
% 19.71/3.03 % (1783975)Time elapsed: 0.056 s
% 19.71/3.03 % (1783975)Peak memory usage: 12 MB
% 19.71/3.03 % (1783975)Instructions burned: 133 (million)
% 19.71/3.03 % Exception at run slice level
% 19.71/3.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.71/3.03 % (1783984)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=76910258:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 19.71/3.03 % (1783985)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1821253985:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 19.71/3.03 % (1783976)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.71/3.03 % (1783979)Instruction limit reached!
% 19.71/3.03 % (1783979)------------------------------
% 19.71/3.03 % (1783979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.03 % (1783979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.03 % (1783979)CaDiCaL version: 2.1.3
% 19.71/3.03 % (1783979)Termination reason: Instruction limit
% 19.71/3.03 % (1783979)Termination phase: Saturation
% 19.71/3.03 % (1783979)Time elapsed: 0.075 s
% 19.71/3.03 % (1783979)Peak memory usage: 13 MB
% 19.71/3.03 % (1783979)Instructions burned: 181 (million)
% 19.71/3.03 % (1783988)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=916519944:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 19.71/3.03 % Exception at run slice level
% 19.71/3.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.71/3.03 % (1783990)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=2868852790: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)
% 19.71/3.03 % Exception at run slice level
% 19.71/3.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.71/3.03 % (1783990)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.71/3.03 % (1783992)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2875100421:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 19.71/3.03 % (1783992)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.71/3.03 % (1783980)Instruction limit reached!
% 19.71/3.03 % (1783980)------------------------------
% 19.71/3.03 % (1783980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.03 % (1783980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.03 % (1783980)CaDiCaL version: 2.1.3
% 19.71/3.03 % (1783980)Termination reason: Instruction limit
% 19.71/3.03 % (1783980)Termination phase: Saturation
% 19.71/3.03 % (1783980)Time elapsed: 0.235 s
% 19.71/3.03 % (1783980)Peak memory usage: 15 MB
% 19.71/3.03 % (1783980)Instructions burned: 478 (million)
% 19.71/3.03 % (1783976)Instruction limit reached!
% 19.71/3.03 % (1783976)------------------------------
% 19.71/3.03 % (1783976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.03 % (1783976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.03 % (1783976)CaDiCaL version: 2.1.3
% 19.71/3.03 % (1783976)Termination reason: Instruction limit
% 19.71/3.03 % (1783976)Termination phase: Saturation
% 19.71/3.03 % (1783976)Time elapsed: 0.267 s
% 19.71/3.03 % (1783976)Peak memory usage: 15 MB
% 19.71/3.03 % (1783976)Instructions burned: 689 (million)
% 19.71/3.03 % (1783994)fmb+10_1_sil=64000:random_seed=2833577837:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 20.69/3.25 % (1783995)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1563708320:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 20.69/3.25 % (1783994)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/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 % 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 % (1783998)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=105740583:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 20.69/3.25 % (1783999)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=707352633:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 20.69/3.25 % (1783999)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 % (1783990)Instruction limit reached!
% 20.69/3.25 % (1783990)------------------------------
% 20.69/3.25 % (1783990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1783990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1783990)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1783990)Termination reason: Instruction limit
% 20.69/3.25 % (1783990)Termination phase: Saturation
% 20.69/3.25 % (1783990)Time elapsed: 0.285 s
% 20.69/3.25 % (1783990)Peak memory usage: 18 MB
% 20.69/3.25 % (1783990)Instructions burned: 694 (million)
% 20.69/3.25 % (1784002)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3191507821:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 20.69/3.25 % (1784003)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2903224964:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 20.69/3.25 % (1784002)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.69/3.25 % (1784002)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 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 % (1784006)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3660020874:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 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 % (1783992)Instruction limit reached!
% 20.69/3.25 % (1783992)------------------------------
% 20.69/3.25 % (1783992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1783992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1783992)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1783992)Termination reason: Instruction limit
% 20.69/3.25 % (1783992)Termination phase: Saturation
% 20.69/3.25 % (1783992)Time elapsed: 0.426 s
% 20.69/3.25 % (1783992)Peak memory usage: 19 MB
% 20.69/3.25 % (1783992)Instructions burned: 881 (million)
% 20.69/3.25 % (1783985)Instruction limit reached!
% 20.69/3.25 % (1783985)------------------------------
% 20.69/3.25 % (1783985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1783985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1783985)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1783985)Termination reason: Instruction limit
% 20.69/3.25 % (1783985)Termination phase: Saturation
% 20.69/3.25 % (1783985)Time elapsed: 0.567 s
% 20.69/3.25 % (1783985)Peak memory usage: 23 MB
% 20.69/3.25 % (1783985)Instructions burned: 1179 (million)
% 20.69/3.25 % (1784008)ott-2_1_sil=16000:newcnf=on:random_seed=1074544083:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 20.69/3.25 % (1784009)ott+10_1_sil=32000:tgt=ground:random_seed=1248002483:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 20.69/3.25 % (1784010)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2861850698:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 20.69/3.25 % (1784008)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 % (1784014)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=32755195:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 20.69/3.25 % (1784014)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.69/3.25 % (1784008)Instruction limit reached!
% 20.69/3.25 % (1784008)------------------------------
% 20.69/3.25 % (1784008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1784008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1784008)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1784008)Termination reason: Instruction limit
% 20.69/3.25 % (1784008)Termination phase: Saturation
% 20.69/3.25 % (1784008)Time elapsed: 0.364 s
% 20.69/3.25 % (1784008)Peak memory usage: 16 MB
% 20.69/3.25 % (1784008)Instructions burned: 870 (million)
% 20.69/3.25 % (1784016)dis+21_1_sil=32000:sas=cadical:random_seed=508965959:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 20.69/3.25 % (1784002)Instruction limit reached!
% 20.69/3.25 % (1784002)------------------------------
% 20.69/3.25 % (1784002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1784002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1784002)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1784002)Termination reason: Instruction limit
% 20.69/3.25 % (1784002)Termination phase: Saturation
% 20.69/3.25 % (1784002)Time elapsed: 0.679 s
% 20.69/3.25 % (1784002)Peak memory usage: 20 MB
% 20.69/3.25 % (1784002)Instructions burned: 1474 (million)
% 20.69/3.25 % (1784018)ott+11_1_sil=16000:gs=on:random_seed=3027827534:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 20.69/3.25 % (1784018)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.69/3.25 % (1784018)Instruction limit reached!
% 20.69/3.25 % (1784018)------------------------------
% 20.69/3.25 % (1784018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1784018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1784018)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1784018)Termination reason: Instruction limit
% 20.69/3.25 % (1784018)Termination phase: Saturation
% 20.69/3.25 % (1784018)Time elapsed: 1.105 s
% 20.69/3.25 % (1784018)Peak memory usage: 27 MB
% 20.69/3.25 % (1784018)Instructions burned: 2253 (million)
% 20.69/3.25 % (1784020)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3187391917:fmbsr=1.6:i=67534_2976 on theBenchmark for (2976ds/67534Mi)
% 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 % (1784022)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=74147230:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2975 on theBenchmark for (2975ds/4591Mi)
% 20.69/3.25 % (1784014)Instruction limit reached!
% 20.69/3.25 % (1784014)------------------------------
% 20.69/3.25 % (1784014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1784014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1784014)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1784014)Termination reason: Instruction limit
% 20.69/3.25 % (1784014)Termination phase: Saturation
% 20.69/3.25 % (1784014)Time elapsed: 1.667 s
% 20.69/3.25 % (1784014)Peak memory usage: 34 MB
% 20.69/3.25 % (1784014)Instructions burned: 3513 (million)
% 20.69/3.25 % (1784024)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4183837393:i=29340_2974 on theBenchmark for (2974ds/29340Mi)
% 20.69/3.25 % (1784016)Instruction limit reached!
% 20.69/3.25 % (1784016)------------------------------
% 20.69/3.25 % (1784016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1784016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1784016)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1784016)Termination reason: Instruction limit
% 20.69/3.25 % (1784016)Termination phase: Saturation
% 20.69/3.25 % (1784016)Time elapsed: 1.612 s
% 20.69/3.25 % (1784016)Peak memory usage: 25 MB
% 20.69/3.25 % (1784016)Instructions burned: 3774 (million)
% 20.69/3.25 % (1784026)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3605329379:i=5211_2972 on theBenchmark for (2972ds/5211Mi)
% 20.69/3.25 % (1783999)Instruction limit reached!
% 20.69/3.25 % (1783999)------------------------------
% 20.69/3.25 % (1783999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1783999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1783999)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1783999)Termination reason: Instruction limit
% 20.69/3.25 % (1783999)Termination phase: Saturation
% 20.69/3.25 % (1783999)Time elapsed: 2.415 s
% 20.69/3.25 % (1783999)Peak memory usage: 36 MB
% 20.69/3.25 % (1783999)Instructions burned: 5132 (million)
% 20.69/3.25 % (1784028)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1502040833:i=5497:nm=2_2970 on theBenchmark for (2970ds/5497Mi)
% 20.69/3.25 % (1783961) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1783955-1783961"...
% 20.69/3.25 % (1783961)...printing done.
% 20.69/3.25 % (1783961)Refutation found. Thanks to Tanya!
% 20.69/3.25 % SZS status Theorem for theBenchmark
% 20.69/3.25 % SZS output start Proof for theBenchmark
% 20.69/3.25 thf(type_def_5, type, denotational_interp: $tType).
% 20.69/3.25 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 20.69/3.25 thf(type_def_7, type, variable: $tType).
% 20.69/3.25 thf(type_def_8, type, option: $tType > $tType).
% 20.69/3.25 thf(type_def_9, type, game: $tType).
% 20.69/3.25 thf(type_def_10, type, char: $tType).
% 20.69/3.25 thf(type_def_11, type, trm: $tType).
% 20.69/3.25 thf(type_def_12, type, fml: $tType).
% 20.69/3.25 thf(type_def_13, type, real: $tType).
% 20.69/3.25 thf(type_def_14, type, set: $tType > $tType).
% 20.69/3.25 thf(type_def_15, type, sTfun: ($tType * $tType) > $tType).
% 20.69/3.25 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 20.69/3.25 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 20.69/3.25 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 20.69/3.25 thf(func_def_3, type, lattice: !>[X0: $tType]:($o)).
% 20.69/3.25 thf(func_def_4, type, semilattice_inf: !>[X0: $tType]:($o)).
% 20.69/3.25 thf(func_def_5, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 20.69/3.25 thf(func_def_6, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 20.69/3.25 thf(func_def_7, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 20.69/3.25 thf(func_def_8, type, combine_options: !>[X0: $tType]:(((X0 > X0 > X0) > option @ X0 > option @ X0 > option @ X0))).
% 20.69/3.25 thf(func_def_9, type, none: !>[X0: $tType]:(option @ X0)).
% 20.69/3.25 thf(func_def_10, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 20.69/3.25 thf(func_def_11, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 20.69/3.25 thf(func_def_12, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 20.69/3.25 thf(func_def_13, type, bot_bot: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_14, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 20.69/3.25 thf(func_def_15, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.69/3.25 thf(func_def_16, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.69/3.25 thf(func_def_17, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 20.69/3.25 thf(func_def_18, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 20.69/3.25 thf(func_def_19, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 20.69/3.25 thf(func_def_20, type, static_FVF: (fml > set @ variable)).
% 20.69/3.25 thf(func_def_21, type, static_FVT: (trm > set @ variable)).
% 20.69/3.25 thf(func_def_22, type, char2: ($o > $o > $o > $o > $o > $o > $o > $o > char)).
% 20.69/3.25 thf(func_def_23, type, geq: (trm > trm > fml)).
% 20.69/3.25 thf(func_def_24, type, pred: (char > trm > fml)).
% 20.69/3.25 thf(func_def_25, type, const: (char > trm)).
% 20.69/3.25 thf(func_def_26, type, differential: (trm > trm)).
% 20.69/3.25 thf(func_def_27, type, func: (char > trm > trm)).
% 20.69/3.25 thf(func_def_28, type, number: (real > trm)).
% 20.69/3.25 thf(func_def_29, type, plus: (trm > trm > trm)).
% 20.69/3.25 thf(func_def_30, type, times: (trm > trm > trm)).
% 20.69/3.25 thf(func_def_31, type, var: (variable > trm)).
% 20.69/3.25 thf(func_def_32, type, uSubst259074819ntialo: (option @ trm > option @ trm)).
% 20.69/3.25 thf(func_def_33, type, uSubst1556497037e_Geqo: (option @ trm > option @ trm > option @ fml)).
% 20.69/3.25 thf(func_def_34, type, uSubst864323244qo_rel: (product_prod @ option @ trm @ option @ trm > product_prod @ option @ trm @ option @ trm > $o)).
% 20.69/3.25 thf(func_def_35, type, uSubst1112714340_Pluso: (option @ trm > option @ trm > option @ trm)).
% 20.69/3.25 thf(func_def_36, type, uSubst270600597so_rel: (product_prod @ option @ trm @ option @ trm > product_prod @ option @ trm @ option @ trm > $o)).
% 20.69/3.25 thf(func_def_37, type, uSubst277968634Timeso: (option @ trm > option @ trm > option @ trm)).
% 20.69/3.25 thf(func_def_38, type, uSubst1377811071so_rel: (product_prod @ option @ trm @ option @ trm > product_prod @ option @ trm @ option @ trm > $o)).
% 20.69/3.25 thf(func_def_39, type, uSubst_Mirabelle_dot: trm).
% 20.69/3.25 thf(func_def_40, type, uSubst969145931substt: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_41, type, uSubst1138577137pconst: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > char > option @ trm)).
% 20.69/3.25 thf(func_def_42, type, uSubst95898978stappf: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > fml > option @ fml)).
% 20.69/3.25 thf(func_def_43, type, uSubst95898992stappt: (product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > option @ trm)).
% 20.69/3.25 thf(func_def_44, type, uSubst2096773001pt_rel: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > $o)).
% 20.69/3.25 thf(func_def_45, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 20.69/3.25 thf(func_def_46, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 20.69/3.25 thf(func_def_47, type, u: set @ variable).
% 20.69/3.25 thf(func_def_48, type, v: set @ variable).
% 20.69/3.25 thf(func_def_49, type, sigma: product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)).
% 20.69/3.25 thf(func_def_50, type, f: char).
% 20.69/3.25 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 20.69/3.25 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_55, type, db2: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.69/3.25 thf(func_def_57, type, db4: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_61, type, vNOT: ($o > $o)).
% 20.69/3.25 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.69/3.25 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.69/3.25 thf(func_def_64, type, vOR: ($o > $o > $o)).
% 20.69/3.25 thf(func_def_65, type, vAND: ($o > $o > $o)).
% 20.69/3.25 thf(func_def_66, type, vIMP: ($o > $o > $o)).
% 20.69/3.25 thf(func_def_67, type, sP0: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 20.69/3.25 thf(func_def_68, type, sP1: (option @ trm > option @ trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_69, type, sP2: (option @ trm > option @ trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_70, type, sP3: (trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_71, type, sP4: (trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_72, type, sP5: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > option @ trm > $o)).
% 20.69/3.25 thf(func_def_73, type, sP6: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > option @ trm > $o)).
% 20.69/3.25 thf(func_def_74, type, sP7: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_75, type, sP8: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_76, type, sP9: ((trm > $o) > $o)).
% 20.69/3.25 thf(func_def_77, type, sP10: ((trm > $o) > $o)).
% 20.69/3.25 thf(func_def_78, type, sP11: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 20.69/3.25 thf(func_def_79, type, sP12: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 20.69/3.25 thf(func_def_80, type, sP13: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 20.69/3.25 thf(func_def_81, type, sP14: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 20.69/3.25 thf(func_def_82, type, sP15: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 20.69/3.25 thf(func_def_83, type, sP16: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > $o)).
% 20.69/3.25 thf(func_def_84, type, sP17: ((denotational_interp > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_85, type, sP18: ((denotational_interp > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_86, type, sP19: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_87, type, sP20: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_88, type, sP21: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_89, type, sP22: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > $o)).
% 20.69/3.25 thf(func_def_90, type, sP23: (option @ trm > option @ trm > option @ fml > $o)).
% 20.69/3.25 thf(func_def_91, type, sP24: (option @ trm > option @ trm > option @ fml > $o)).
% 20.69/3.25 thf(func_def_92, type, sP25: (option @ trm > option @ trm > option @ fml > $o)).
% 20.69/3.25 thf(func_def_93, type, sP26: (option @ trm > option @ trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_94, type, sP27: (option @ trm > option @ trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_95, type, sP28: (option @ trm > option @ trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_96, type, sP29: (option @ trm > option @ trm > option @ trm > $o)).
% 20.69/3.25 thf(func_def_97, type, sK30: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_98, type, sK31: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_99, type, sK32: ((char > option @ trm > $o) > char)).
% 20.69/3.25 thf(func_def_100, type, sK33: ((char > option @ trm > $o) > char)).
% 20.69/3.25 thf(func_def_101, type, sK34: ((char > option @ trm > $o) > trm)).
% 20.69/3.25 thf(func_def_102, type, sK35: ((option @ trm > option @ trm > $o) > trm)).
% 20.69/3.25 thf(func_def_103, type, sK36: ((option @ trm > option @ trm > $o) > option @ trm)).
% 20.69/3.25 thf(func_def_104, type, sK37: ((option @ trm > option @ trm > $o) > trm)).
% 20.69/3.25 thf(func_def_105, type, sK38: ((option @ trm > option @ trm > $o) > trm)).
% 20.69/3.25 thf(func_def_106, type, sK39: ((variable > option @ trm > $o) > variable)).
% 20.69/3.25 thf(func_def_107, type, sK40: ((variable > option @ trm > $o) > variable)).
% 20.69/3.25 thf(func_def_108, type, sK41: ((variable > option @ trm > $o) > trm)).
% 20.69/3.25 thf(func_def_109, type, sK42: ((option @ trm > $o) > trm)).
% 20.69/3.25 thf(func_def_110, type, sK43: (option @ trm > trm)).
% 20.69/3.25 thf(func_def_111, type, sK44: (char > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_112, type, sK45: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_113, type, sK46: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 20.69/3.25 thf(func_def_114, type, sK47: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_115, type, sK48: !>[X0: $tType]:((option @ X0 > X0))).
% 20.69/3.25 thf(func_def_116, type, sK49: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_117, type, sK50: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 20.69/3.25 thf(func_def_118, type, sK51: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 20.69/3.25 thf(func_def_119, type, sK52: !>[X0: $tType]:((set @ X0 > X0))).
% 20.69/3.25 thf(func_def_120, type, sK53: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.69/3.25 thf(func_def_121, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > $o) > (X1 > $o) > X1))).
% 20.69/3.25 thf(func_def_122, type, sK55: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_123, type, sK56: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_124, type, sK57: (option @ trm > trm)).
% 20.69/3.25 thf(func_def_125, type, sK58: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_126, type, sK59: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_127, type, sK60: (option @ trm > trm)).
% 20.69/3.25 thf(func_def_128, type, sK61: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > option @ trm > char)).
% 20.69/3.25 thf(func_def_129, type, sK62: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > option @ trm > trm)).
% 20.69/3.25 thf(func_def_130, type, sK63: (trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > option @ trm > char)).
% 20.69/3.25 thf(func_def_131, type, sK64: (trm > option @ trm > real)).
% 20.69/3.25 thf(func_def_132, type, sK65: (trm > option @ trm > variable)).
% 20.69/3.25 thf(func_def_133, type, sK66: (option @ trm > trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_134, type, sK67: (option @ trm > trm > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_135, type, sK68: (option @ trm > trm > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_136, type, sK69: (option @ trm > trm > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_137, type, sK70: (option @ trm > trm > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_138, type, sK71: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_139, type, sK72: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_140, type, sK73: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_141, type, sK74: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_142, type, sK75: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_143, type, sK76: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_144, type, sK77: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 20.69/3.25 thf(func_def_145, type, sK78: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_146, type, sK79: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_147, type, sK80: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_148, type, sK81: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_149, type, sK82: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_150, type, sK83: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_151, type, sK84: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_152, type, sK85: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_153, type, sK86: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_154, type, sK87: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_155, type, sK88: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 20.69/3.25 thf(func_def_156, type, sK89: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_157, type, sK90: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_158, type, sK91: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > real)).
% 20.69/3.25 thf(func_def_159, type, sK92: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_160, type, sK93: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_161, type, sK94: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > variable)).
% 20.69/3.25 thf(func_def_162, type, sK95: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_163, type, sK96: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_164, type, sK97: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_165, type, sK98: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_166, type, sK99: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_167, type, sK100: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_168, type, sK101: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_169, type, sK102: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_170, type, sK103: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_171, type, sK104: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 20.69/3.25 thf(func_def_172, type, sK105: (option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_173, type, sK106: (trm > trm)).
% 20.69/3.25 thf(func_def_174, type, sK107: (trm > trm)).
% 20.69/3.25 thf(func_def_175, type, sK108: (trm > trm)).
% 20.69/3.25 thf(func_def_176, type, sK109: (trm > trm)).
% 20.69/3.25 thf(func_def_177, type, sK110: (trm > trm)).
% 20.69/3.25 thf(func_def_178, type, sK111: (trm > char)).
% 20.69/3.25 thf(func_def_179, type, sK112: (trm > trm)).
% 20.69/3.25 thf(func_def_180, type, sK113: (trm > char)).
% 20.69/3.25 thf(func_def_181, type, sK114: (trm > real)).
% 20.69/3.25 thf(func_def_182, type, sK115: (trm > variable)).
% 20.69/3.25 thf(func_def_183, type, sK116: ((trm > $o) > trm)).
% 20.69/3.25 thf(func_def_184, type, sK117: ((trm > $o) > trm)).
% 20.69/3.25 thf(func_def_185, type, sK118: ((trm > $o) > trm)).
% 20.69/3.25 thf(func_def_186, type, sK119: ((trm > $o) > trm)).
% 20.69/3.25 thf(func_def_187, type, sK120: ((trm > $o) > trm)).
% 20.69/3.25 thf(func_def_188, type, sK121: ((trm > $o) > char)).
% 20.69/3.25 thf(func_def_189, type, sK122: ((trm > $o) > trm)).
% 20.69/3.25 thf(func_def_190, type, sK123: ((trm > $o) > char)).
% 20.69/3.25 thf(func_def_191, type, sK124: ((trm > $o) > real)).
% 20.69/3.25 thf(func_def_192, type, sK125: ((trm > $o) > variable)).
% 20.69/3.25 thf(func_def_193, type, sK126: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 20.69/3.25 thf(func_def_194, type, sK127: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 20.69/3.25 thf(func_def_195, type, sK128: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 20.69/3.25 thf(func_def_196, type, sK129: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 20.69/3.25 thf(func_def_197, type, sK130: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > char)).
% 20.69/3.25 thf(func_def_198, type, sK131: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm)).
% 20.69/3.25 thf(func_def_199, type, sK132: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > char)).
% 20.69/3.25 thf(func_def_200, type, sK133: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > real)).
% 20.69/3.25 thf(func_def_201, type, sK134: (trm > option @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > variable)).
% 20.69/3.25 thf(func_def_202, type, sK135: (option @ trm > trm > set @ variable > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > trm)).
% 20.69/3.25 thf(func_def_203, type, sK136: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_204, type, sK137: (product_prod @ denotational_interp @ trm > trm)).
% 20.69/3.25 thf(func_def_205, type, sK138: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_206, type, sK139: (product_prod @ denotational_interp @ trm > trm)).
% 20.69/3.25 thf(func_def_207, type, sK140: (product_prod @ denotational_interp @ trm > trm)).
% 20.69/3.25 thf(func_def_208, type, sK141: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_209, type, sK142: (product_prod @ denotational_interp @ trm > trm)).
% 20.69/3.25 thf(func_def_210, type, sK143: (product_prod @ denotational_interp @ trm > trm)).
% 20.69/3.25 thf(func_def_211, type, sK144: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_212, type, sK145: (product_prod @ denotational_interp @ trm > char)).
% 20.69/3.25 thf(func_def_213, type, sK146: (product_prod @ denotational_interp @ trm > trm)).
% 20.69/3.25 thf(func_def_214, type, sK147: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_215, type, sK148: (product_prod @ denotational_interp @ trm > char)).
% 20.69/3.25 thf(func_def_216, type, sK149: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_217, type, sK150: (product_prod @ denotational_interp @ trm > real)).
% 20.69/3.25 thf(func_def_218, type, sK151: (product_prod @ denotational_interp @ trm > denotational_interp)).
% 20.69/3.25 thf(func_def_219, type, sK152: (product_prod @ denotational_interp @ trm > variable)).
% 20.69/3.25 thf(func_def_220, type, sK153: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_221, type, sK154: ((denotational_interp > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_222, type, sK155: ((denotational_interp > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_223, type, sK156: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_224, type, sK157: ((denotational_interp > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_225, type, sK158: ((denotational_interp > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_226, type, sK159: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_227, type, sK160: ((denotational_interp > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_228, type, sK161: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_229, type, sK162: ((denotational_interp > trm > $o) > char)).
% 20.69/3.25 thf(func_def_230, type, sK163: ((denotational_interp > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_231, type, sK164: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_232, type, sK165: ((denotational_interp > trm > $o) > char)).
% 20.69/3.25 thf(func_def_233, type, sK166: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_234, type, sK167: ((denotational_interp > trm > $o) > real)).
% 20.69/3.25 thf(func_def_235, type, sK168: ((denotational_interp > trm > $o) > denotational_interp)).
% 20.69/3.25 thf(func_def_236, type, sK169: ((denotational_interp > trm > $o) > variable)).
% 20.69/3.25 thf(func_def_237, type, sK170: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X1))).
% 20.69/3.25 thf(func_def_238, type, sK171: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > product_prod @ X1 @ X0 > X0))).
% 20.69/3.25 thf(func_def_239, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X0))).
% 20.69/3.25 thf(func_def_240, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > X2 > $o) > product_prod @ X0 @ X1 > X1))).
% 20.69/3.25 thf(func_def_241, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X2))).
% 20.69/3.25 thf(func_def_242, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > set @ X0) > X0 > product_prod @ X2 @ X1 > X1))).
% 20.69/3.25 thf(func_def_243, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X2))).
% 20.69/3.25 thf(func_def_244, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ X1 > X0) > (X2 > X1 > X0) > X1))).
% 20.69/3.25 thf(func_def_245, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X0))).
% 20.69/3.25 thf(func_def_246, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > X1) > (X1 > $o) > X2))).
% 20.69/3.25 thf(func_def_247, type, sK180: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 20.69/3.25 thf(func_def_248, type, sK181: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 20.69/3.25 thf(func_def_249, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X1))).
% 20.69/3.25 thf(func_def_250, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X0))).
% 20.69/3.25 thf(func_def_251, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X0))).
% 20.69/3.25 thf(func_def_252, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X2))).
% 20.69/3.25 thf(func_def_253, type, sK186: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 20.69/3.25 thf(func_def_254, type, sK187: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_255, type, sK188: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 20.69/3.25 thf(func_def_256, type, sK189: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 20.69/3.25 thf(func_def_257, type, sK190: !>[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))).
% 20.69/3.25 thf(func_def_258, type, sK191: !>[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))).
% 20.69/3.25 thf(func_def_259, type, sK192: !>[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))).
% 20.69/3.25 thf(func_def_260, type, sK193: !>[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))).
% 20.69/3.25 thf(func_def_261, type, sK194: !>[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))).
% 20.69/3.25 thf(func_def_262, type, sK195: !>[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))).
% 20.69/3.25 thf(func_def_263, type, sK196: !>[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))).
% 20.69/3.25 thf(func_def_264, type, sK197: !>[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))).
% 20.69/3.25 thf(func_def_265, type, sK198: !>[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))).
% 20.69/3.25 thf(func_def_266, type, sK199: !>[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))).
% 20.69/3.25 thf(func_def_267, type, sK200: !>[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))).
% 20.69/3.25 thf(func_def_268, type, sK201: !>[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))).
% 20.69/3.25 thf(func_def_269, type, sK202: !>[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))).
% 20.69/3.25 thf(func_def_270, type, sK203: !>[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))).
% 20.69/3.25 thf(func_def_271, type, sK204: !>[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))).
% 20.69/3.25 thf(func_def_272, type, sK205: !>[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))).
% 20.69/3.25 thf(func_def_273, type, sK206: !>[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))).
% 20.69/3.25 thf(func_def_274, type, sK207: !>[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))).
% 20.69/3.25 thf(func_def_275, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 20.69/3.25 thf(func_def_276, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 20.69/3.25 thf(func_def_277, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 20.69/3.25 thf(func_def_278, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_279, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 20.69/3.25 thf(func_def_280, type, sK213: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 20.69/3.25 thf(func_def_281, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_282, type, sK215: !>[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))).
% 20.69/3.25 thf(func_def_283, type, sK216: !>[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))).
% 20.69/3.25 thf(func_def_284, type, sK217: !>[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))).
% 20.69/3.25 thf(func_def_285, type, sK218: !>[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))).
% 20.69/3.25 thf(func_def_286, type, sK219: !>[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))).
% 20.69/3.25 thf(func_def_287, type, sK220: !>[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))).
% 20.69/3.25 thf(func_def_288, type, sK221: !>[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))).
% 20.69/3.25 thf(func_def_289, type, sK222: !>[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))).
% 20.69/3.25 thf(func_def_290, type, sK223: !>[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))).
% 20.69/3.25 thf(func_def_291, type, sK224: !>[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))).
% 20.69/3.25 thf(func_def_292, type, sK225: !>[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))).
% 20.69/3.25 thf(func_def_293, type, sK226: !>[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))).
% 20.69/3.25 thf(func_def_294, type, sK227: !>[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))).
% 20.69/3.25 thf(func_def_295, type, sK228: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 20.69/3.25 thf(func_def_296, type, sK229: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 20.69/3.25 thf(func_def_297, type, sK230: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 20.69/3.25 thf(func_def_298, type, sK231: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 20.69/3.25 thf(func_def_299, type, sK232: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 20.69/3.25 thf(func_def_300, type, sK233: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 20.69/3.25 thf(func_def_301, type, sK234: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 20.69/3.25 thf(func_def_302, type, sK235: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 20.69/3.25 thf(func_def_303, type, sK236: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 20.69/3.25 thf(func_def_304, type, sK237: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 20.69/3.25 thf(func_def_305, type, sK238: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 20.69/3.25 thf(func_def_306, type, sK239: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 20.69/3.25 thf(func_def_307, type, sK240: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 20.69/3.25 thf(func_def_308, type, sK241: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_309, type, sK242: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 20.69/3.25 thf(func_def_310, type, sK243: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 20.69/3.25 thf(func_def_311, type, sK244: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_312, type, sK245: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_313, type, sK246: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 20.69/3.25 thf(func_def_314, type, sK247: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_315, type, sK248: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_316, type, sK249: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 20.69/3.25 thf(func_def_317, type, sK250: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 20.69/3.25 thf(func_def_318, type, sK251: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_319, type, sK252: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_320, type, sK253: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 20.69/3.25 thf(func_def_321, type, sK254: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 20.69/3.25 thf(func_def_322, type, sK255: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_323, type, sK256: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_324, type, sK257: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > char)).
% 20.69/3.25 thf(func_def_325, type, sK258: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > trm)).
% 20.69/3.25 thf(func_def_326, type, sK259: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_327, type, sK260: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_328, type, sK261: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > char)).
% 20.69/3.25 thf(func_def_329, type, sK262: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_330, type, sK263: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_331, type, sK264: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > real)).
% 20.69/3.25 thf(func_def_332, type, sK265: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_333, type, sK266: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > set @ variable)).
% 20.69/3.25 thf(func_def_334, type, sK267: (product_prod @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ product_prod @ set @ variable @ trm > variable)).
% 20.69/3.25 thf(func_def_335, type, sK268: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_336, type, sK269: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_337, type, sK270: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_338, type, sK271: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_339, type, sK272: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_340, type, sK273: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_341, type, sK274: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_342, type, sK275: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_343, type, sK276: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_344, type, sK277: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_345, type, sK278: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_346, type, sK279: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_347, type, sK280: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_348, type, sK281: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 20.69/3.25 thf(func_def_349, type, sK282: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > trm)).
% 20.69/3.25 thf(func_def_350, type, sK283: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_351, type, sK284: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_352, type, sK285: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > char)).
% 20.69/3.25 thf(func_def_353, type, sK286: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_354, type, sK287: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_355, type, sK288: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > real)).
% 20.69/3.25 thf(func_def_356, type, sK289: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game))).
% 20.69/3.25 thf(func_def_357, type, sK290: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > set @ variable)).
% 20.69/3.25 thf(func_def_358, type, sK291: ((product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) > set @ variable > trm > $o) > variable)).
% 20.69/3.25 thf(func_def_359, type, sK292: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X2))).
% 20.69/3.25 thf(func_def_360, type, sK293: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X1))).
% 20.69/3.25 thf(func_def_361, type, sK294: (option @ trm > option @ trm > option @ fml > trm)).
% 20.69/3.25 thf(func_def_362, type, sK295: (option @ trm > option @ trm > option @ fml > trm)).
% 20.69/3.25 thf(func_def_363, type, sK296: (option @ trm > trm)).
% 20.69/3.25 thf(func_def_364, type, sK297: (product_prod @ option @ game @ option @ fml > game)).
% 20.69/3.25 thf(func_def_365, type, sK298: (product_prod @ option @ game @ option @ fml > option @ fml)).
% 20.69/3.25 thf(func_def_366, type, sK299: (product_prod @ option @ game @ option @ fml > game)).
% 20.69/3.25 thf(func_def_367, type, sK300: (product_prod @ option @ game @ option @ fml > fml)).
% 20.69/3.25 thf(func_def_368, type, sK301: (product_prod @ variable @ option @ fml > variable)).
% 20.69/3.25 thf(func_def_369, type, sK302: (product_prod @ variable @ option @ fml > variable)).
% 20.69/3.25 thf(func_def_370, type, sK303: (product_prod @ variable @ option @ fml > fml)).
% 20.69/3.25 thf(func_def_371, type, sK304: (product_prod @ option @ fml @ option @ fml > fml)).
% 20.69/3.25 thf(func_def_372, type, sK305: (product_prod @ option @ fml @ option @ fml > option @ fml)).
% 20.69/3.25 thf(func_def_373, type, sK306: (product_prod @ option @ fml @ option @ fml > fml)).
% 20.69/3.25 thf(func_def_374, type, sK307: (product_prod @ option @ fml @ option @ fml > fml)).
% 20.69/3.25 thf(func_def_375, type, sK308: (product_prod @ char @ option @ trm > char)).
% 20.69/3.25 thf(func_def_376, type, sK309: (product_prod @ char @ option @ trm > char)).
% 20.69/3.25 thf(func_def_377, type, sK310: (product_prod @ char @ option @ trm > trm)).
% 20.69/3.25 thf(func_def_378, type, sK311: (product_prod @ variable @ option @ trm > variable)).
% 20.69/3.25 thf(func_def_379, type, sK312: (product_prod @ variable @ option @ trm > variable)).
% 20.69/3.25 thf(func_def_380, type, sK313: (product_prod @ variable @ option @ trm > trm)).
% 20.69/3.25 thf(func_def_381, type, sK314: (product_prod @ option @ trm @ option @ trm > trm)).
% 20.69/3.25 thf(func_def_382, type, sK315: (product_prod @ option @ trm @ option @ trm > option @ trm)).
% 20.69/3.25 thf(func_def_383, type, sK316: (product_prod @ option @ trm @ option @ trm > trm)).
% 20.69/3.25 thf(func_def_384, type, sK317: (product_prod @ option @ trm @ option @ trm > trm)).
% 20.69/3.25 thf(func_def_385, type, sK318: (product_prod @ option @ game @ option @ game > game)).
% 20.69/3.25 thf(func_def_386, type, sK319: (product_prod @ option @ game @ option @ game > option @ game)).
% 20.69/3.25 thf(func_def_387, type, sK320: (product_prod @ option @ game @ option @ game > game)).
% 20.69/3.25 thf(func_def_388, type, sK321: (product_prod @ option @ game @ option @ game > game)).
% 20.69/3.25 thf(func_def_389, type, sK322: (option @ trm > option @ trm > option @ fml > trm)).
% 20.69/3.25 thf(func_def_390, type, sK323: (option @ trm > option @ trm > option @ fml > trm)).
% 20.69/3.25 thf(func_def_391, type, sK324: (option @ trm > option @ trm > option @ fml > trm)).
% 20.69/3.25 thf(func_def_392, type, sK325: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_393, type, sK326: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_394, type, sK327: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_395, type, sK328: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_396, type, sK329: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_397, type, sK330: (option @ trm > option @ trm > option @ trm > trm)).
% 20.69/3.25 thf(func_def_398, type, sK331: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.69/3.25 thf(func_def_399, type, sK332: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.69/3.25 thf(func_def_400, type, sK333: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 20.69/3.25 thf(func_def_401, type, sK334: !>[X0: $tType]:((set @ X0 > X0))).
% 20.69/3.25 thf(func_def_402, type, sK335: !>[X0: $tType]:((set @ X0 > X0))).
% 20.69/3.25 thf(func_def_403, type, sK336: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_404, type, sK337: !>[X0: $tType]:(((X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_405, type, sK338: !>[X0: $tType]:((option @ X0 > X0))).
% 20.69/3.25 thf(func_def_406, type, sK339: !>[X0: $tType]:((option @ X0 > X0))).
% 20.69/3.25 thf(func_def_407, type, sK340: (option @ trm > trm)).
% 20.69/3.25 thf(func_def_409, type, sK342: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 20.69/3.25 thf(func_def_410, type, sK343: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_411, type, sK344: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 20.69/3.25 thf(func_def_412, type, sK345: !>[X0: $tType]:(((option @ X0 > $o) > option @ X0))).
% 20.69/3.25 thf(func_def_413, type, db6: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_414, type, db5: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(func_def_415, type, db7: !>[X0: $tType]:(X0)).
% 20.69/3.25 thf(f4,axiom,(
% 20.69/3.25 (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) != none @ trm) => (((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f))) @ u)) = bot_bot @ set @ variable)),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_f3)).
% 20.69/3.25 thf(f5,axiom,(
% 20.69/3.25 (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) != none @ trm) => (((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f))) @ v)) = bot_bot @ set @ variable)),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062)).
% 20.69/3.25 thf(f6,axiom,(
% 20.69/3.25 (uSubst1138577137pconst = (^[X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game), X1 : set @ variable, X2 : char] : ((case_option @ option @ trm @ trm @ (some @ trm @ (const @ X2)) @ (^[X3 : trm] : ((if @ option @ trm @ (((inf_inf @ set @ variable @ (static_FVT @ X3) @ X1)) = bot_bot @ set @ variable) @ (some @ trm @ X3) @ none @ trm))) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X4)))))))) @ X0 @ X2)))))),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_usappconst__def)).
% 20.69/3.25 thf(f8,axiom,(
% 20.69/3.25 ! [X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable,X2 : char] : (((uSubst95898992stappt @ X0 @ X1 @ (const @ X2))) = ((uSubst1138577137pconst @ X0 @ X1 @ X2)))),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_usubstappt_Osimps_I3_J)).
% 20.69/3.25 thf(f34,axiom,(
% 20.69/3.25 ! [X0 : $tType,X1 : $tType] : (case_option @ X1 @ X0 = (^[X2 : X1, X3 : (X0 > X1), X4 : option @ X0] : ((if @ X1 @ (X4 = none @ X0) @ X2 @ (X3 @ (the @ X0 @ X4))))))),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_option_Ocase__eq__if)).
% 20.69/3.25 thf(f275,axiom,(
% 20.69/3.25 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_T)).
% 20.69/3.25 thf(f276,conjecture,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((uSubst1138577137pconst @ sigma @ v @ f))) | (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) = none @ trm)),
% 20.69/3.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 20.69/3.25 thf(f277,negated_conjecture,(
% 20.69/3.25 ~((((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((uSubst1138577137pconst @ sigma @ v @ f))) | (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) = none @ trm))),
% 20.69/3.25 inference(negated_conjecture,[status(cth)],[f276])).
% 20.69/3.25 thf(f278,plain,(
% 20.69/3.25 (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) != none @ trm) => (((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X4)))))))) @ sigma @ f))) @ u)) = bot_bot @ set @ variable)),
% 20.69/3.25 inference(rectify,[],[f4])).
% 20.69/3.25 thf(f279,plain,(
% 20.69/3.25 (none @ trm != ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) => (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ u)))),
% 20.69/3.25 inference(fool_elimination,[],[f278])).
% 20.69/3.25 thf(f280,plain,(
% 20.69/3.25 (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) != none @ trm) => (((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X4)))))))) @ sigma @ f))) @ v)) = bot_bot @ set @ variable)),
% 20.69/3.25 inference(rectify,[],[f5])).
% 20.69/3.25 thf(f281,plain,(
% 20.69/3.25 (none @ trm != ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) => (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ v)))),
% 20.69/3.25 inference(fool_elimination,[],[f280])).
% 20.69/3.25 thf(f282,plain,(
% 20.69/3.25 (uSubst1138577137pconst = (^[X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game), X1 : set @ variable, X2 : char] : ((case_option @ option @ trm @ trm @ (some @ trm @ (const @ X2)) @ (^[X3 : trm] : ((if @ option @ trm @ (((inf_inf @ set @ variable @ (static_FVT @ X3) @ X1)) = bot_bot @ set @ variable) @ (some @ trm @ X3) @ none @ trm))) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X4 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X5 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X6 : (char > option @ fml), X7 : (char > option @ game)] : (X4)))))))) @ X0 @ X2)))))),
% 20.69/3.25 inference(rectify,[],[f6])).
% 20.69/3.25 thf(f283,plain,(
% 20.69/3.25 (uSubst1138577137pconst = (^[Y0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)]: ((^[Y1 : set @ variable]: ((^[Y2 : char]: (case_option @ option @ trm @ trm @ (some @ trm @ (const @ Y2)) @ (^[Y3 : trm]: (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ Y3) @ Y1)) @ (some @ trm @ Y3) @ none @ trm)) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y3 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y4 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y5 : char > option @ fml]: ((^[Y6 : char > option @ game]: (Y3)))))))) @ Y0 @ Y2))))))))),
% 20.69/3.25 inference(fool_elimination,[],[f282])).
% 20.69/3.25 thf(f324,plain,(
% 20.69/3.25 ! [X0 : $tType,X1 : $tType] : (case_option @ X1 @ X0 = (^[X2 : X1, X3 : (X0 > X1), X4 : option @ X0] : ((if @ X1 @ (X4 = none @ X0) @ X2 @ (X3 @ (the @ X0 @ X4))))))),
% 20.69/3.25 inference(rectify,[],[f34])).
% 20.69/3.25 thf(f325,plain,(
% 20.69/3.25 ! [X0 : $tType,X1 : $tType] : (case_option @ X1 @ X0 = (^[Y0 : X1]: ((^[Y1 : X0 > X1]: ((^[Y2 : option @ X0]: (if @ X1 @ (none @ X0 = Y2) @ Y0 @ (Y1 @ (the @ X0 @ Y2)))))))))),
% 20.69/3.25 inference(fool_elimination,[],[f324])).
% 20.69/3.25 thf(f594,plain,(
% 20.69/3.25 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 20.69/3.25 inference(rectify,[],[f275])).
% 20.69/3.25 thf(f595,plain,(
% 20.69/3.25 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 20.69/3.25 inference(fool_elimination,[],[f594])).
% 20.69/3.25 thf(f596,plain,(
% 20.69/3.25 ~((((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((uSubst1138577137pconst @ sigma @ v @ f))) | (((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X0 : (char > option @ trm)] : ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X1 : (char > option @ trm)] : ((product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[X2 : (char > option @ fml), X3 : (char > option @ game)] : (X0)))))))) @ sigma @ f)) = none @ trm))),
% 20.69/3.25 inference(rectify,[],[f277])).
% 20.69/3.25 thf(f597,plain,(
% 20.69/3.25 ~((((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((uSubst1138577137pconst @ sigma @ v @ f))) | (none @ trm = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))))),
% 20.69/3.25 inference(fool_elimination,[],[f596])).
% 20.69/3.25 thf(f630,plain,(
% 20.69/3.25 (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ u))) | (none @ trm = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 inference(ennf_transformation,[],[f279])).
% 20.69/3.25 thf(f631,plain,(
% 20.69/3.25 (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ v))) | (none @ trm = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 inference(ennf_transformation,[],[f281])).
% 20.69/3.25 thf(f807,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != ((uSubst1138577137pconst @ sigma @ v @ f))) & (none @ trm != ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 inference(ennf_transformation,[],[f597])).
% 20.69/3.25 thf(f1030,plain,(
% 20.69/3.25 (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ u))) | (none @ trm = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 inference(cnf_transformation,[],[f630])).
% 20.69/3.25 thf(f1031,plain,(
% 20.69/3.25 (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ v))) | (none @ trm = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 inference(cnf_transformation,[],[f631])).
% 20.69/3.25 thf(f1032,plain,(
% 20.69/3.25 (uSubst1138577137pconst = (^[Y0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)]: ((^[Y1 : set @ variable]: ((^[Y2 : char]: (case_option @ option @ trm @ trm @ (some @ trm @ (const @ Y2)) @ (^[Y3 : trm]: (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ Y3) @ Y1)) @ (some @ trm @ Y3) @ none @ trm)) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y3 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y4 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y5 : char > option @ fml]: ((^[Y6 : char > option @ game]: (Y3)))))))) @ Y0 @ Y2))))))))),
% 20.69/3.25 inference(cnf_transformation,[],[f283])).
% 20.69/3.25 thf(f1034,plain,(
% 20.69/3.25 ( ! [X2 : char,X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable] : ((((uSubst95898992stappt @ X0 @ X1 @ (const @ X2))) = ((uSubst1138577137pconst @ X0 @ X1 @ X2)))) )),
% 20.69/3.25 inference(cnf_transformation,[],[f8])).
% 20.69/3.25 thf(f1066,plain,(
% 20.69/3.25 ( ! [X1 : $tType,X0 : $tType] : ((case_option @ X1 @ X0 = (^[Y0 : X1]: ((^[Y1 : X0 > X1]: ((^[Y2 : option @ X0]: (if @ X1 @ (none @ X0 = Y2) @ Y0 @ (Y1 @ (the @ X0 @ Y2)))))))))) )),
% 20.69/3.25 inference(cnf_transformation,[],[f325])).
% 20.69/3.25 thf(f1479,plain,(
% 20.69/3.25 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((if @ X0 @ $true @ X1 @ X2)) = X1)) )),
% 20.69/3.25 inference(cnf_transformation,[],[f595])).
% 20.69/3.25 thf(f1480,plain,(
% 20.69/3.25 (none @ trm != ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 inference(cnf_transformation,[],[f807])).
% 20.69/3.25 thf(f1481,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != ((uSubst1138577137pconst @ sigma @ v @ f)))),
% 20.69/3.25 inference(cnf_transformation,[],[f807])).
% 20.69/3.25 thf(f1484,plain,(
% 20.69/3.25 (uSubst1138577137pconst = (^[Y0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)]: ((^[Y1 : set @ variable]: ((^[Y2 : char]: ((^[Y3 : option @ trm]: ((^[Y4 : trm > option @ trm]: ((^[Y5 : option @ trm]: (if @ option @ trm @ (none @ trm = Y5) @ Y3 @ (Y4 @ (the @ trm @ Y5)))))))) @ (some @ trm @ (const @ Y2)) @ (^[Y3 : trm]: (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ Y3) @ Y1)) @ (some @ trm @ Y3) @ none @ trm)) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y3 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y4 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y5 : char > option @ fml]: ((^[Y6 : char > option @ game]: (Y3)))))))) @ Y0 @ Y2))))))))),
% 20.69/3.25 inference(definition_unfolding,[],[f1032,f1066])).
% 20.69/3.25 thf(f1489,plain,(
% 20.69/3.25 ( ! [X2 : char,X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable] : ((((uSubst95898992stappt @ X0 @ X1 @ (const @ X2))) = (((^[Y0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)]: ((^[Y1 : set @ variable]: ((^[Y2 : char]: ((^[Y3 : option @ trm]: ((^[Y4 : trm > option @ trm]: ((^[Y5 : option @ trm]: (if @ option @ trm @ (none @ trm = Y5) @ Y3 @ (Y4 @ (the @ trm @ Y5)))))))) @ (some @ trm @ (const @ Y2)) @ (^[Y3 : trm]: (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ Y3) @ Y1)) @ (some @ trm @ Y3) @ none @ trm)) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y3 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y4 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y5 : char > option @ fml]: ((^[Y6 : char > option @ game]: (Y3)))))))) @ Y0 @ Y2))))))) @ X0 @ X1 @ X2)))) )),
% 20.69/3.25 inference(definition_unfolding,[],[f1034,f1484])).
% 20.69/3.25 thf(f1530,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != (((^[Y0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game)]: ((^[Y1 : set @ variable]: ((^[Y2 : char]: ((^[Y3 : option @ trm]: ((^[Y4 : trm > option @ trm]: ((^[Y5 : option @ trm]: (if @ option @ trm @ (none @ trm = Y5) @ Y3 @ (Y4 @ (the @ trm @ Y5)))))))) @ (some @ trm @ (const @ Y2)) @ (^[Y3 : trm]: (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ Y3) @ Y1)) @ (some @ trm @ Y3) @ none @ trm)) @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y3 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y4 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y5 : char > option @ fml]: ((^[Y6 : char > option @ game]: (Y3)))))))) @ Y0 @ Y2))))))) @ sigma @ v @ f)))),
% 20.69/3.25 inference(definition_unfolding,[],[f1481,f1484])).
% 20.69/3.25 thf(f1582,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ v)) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ none @ trm))))),
% 20.69/3.25 inference(beta-eta_normalization,[],[f1530])).
% 20.69/3.25 thf(f2004,plain,(
% 20.69/3.25 ( ! [X2 : char,X0 : product_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game),X1 : set @ variable] : ((((uSubst95898992stappt @ X0 @ X1 @ (const @ X2))) = ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ X0 @ X2)) @ (some @ trm @ (const @ X2)) @ (if @ option @ trm @ (bot_bot @ set @ variable = (inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ X0 @ X2))) @ X1)) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ X0 @ X2))) @ none @ trm))))) )),
% 20.69/3.25 inference(beta-eta_normalization,[],[f1489])).
% 20.69/3.25 thf(f2021,definition,(
% 20.69/3.25 spl341_4 <=> (none @ trm = ((product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))),
% 20.69/3.25 introduced(definition,[new_symbols(definition,[spl341_4])],[avatar_definition])).
% 20.69/3.25 thf(f2025,definition,(
% 20.69/3.25 spl341_5 <=> (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ u)))),
% 20.69/3.25 introduced(definition,[new_symbols(definition,[spl341_5])],[avatar_definition])).
% 20.69/3.25 thf(f2026,plain,(
% 20.69/3.25 (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ u))) | ~spl341_5),
% 20.69/3.25 inference(avatar_component_clause,[],[f2025])).
% 20.69/3.25 thf(f2039,definition,(
% 20.69/3.25 spl341_8 <=> (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ v)))),
% 20.69/3.25 introduced(definition,[new_symbols(definition,[spl341_8])],[avatar_definition])).
% 20.69/3.25 thf(f2040,plain,(
% 20.69/3.25 (bot_bot @ set @ variable = ((inf_inf @ set @ variable @ (static_FVT @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ v))) | ~spl341_8),
% 20.69/3.25 inference(avatar_component_clause,[],[f2039])).
% 20.69/3.25 thf(f2052,plain,(
% 20.69/3.25 spl341_4 | spl341_8),
% 20.69/3.25 inference(avatar_split_clause,[],[f1031,f2039,f2021])).
% 20.69/3.25 thf(f2053,plain,(
% 20.69/3.25 spl341_4 | spl341_5),
% 20.69/3.25 inference(avatar_split_clause,[],[f1030,f2025,f2021])).
% 20.69/3.25 thf(f2277,plain,(
% 20.69/3.25 ~spl341_4),
% 20.69/3.25 inference(avatar_split_clause,[],[f1480,f2021])).
% 20.69/3.25 thf(f10872,definition,(
% 20.69/3.25 spl341_221 <=> (((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))))))),
% 20.69/3.25 introduced(definition,[new_symbols(definition,[spl341_221])],[avatar_definition])).
% 20.69/3.25 thf(f33805,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (if @ option @ trm @ (bot_bot @ set @ variable = bot_bot @ set @ variable) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ none @ trm)))) | ~spl341_8),
% 20.69/3.25 inference(constrained_superposition,[],[f1582,f2040])).
% 20.69/3.25 thf(f33829,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (if @ option @ trm @ $true @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ none @ trm)))) | ~spl341_8),
% 20.69/3.25 inference(boolean_simplification,[],[f33805])).
% 20.69/3.25 thf(f33839,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) != ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))))) | ~spl341_8),
% 20.69/3.25 inference(forward_demodulation,[],[f33829,f1479])).
% 20.69/3.25 thf(f33840,plain,(
% 20.69/3.25 ~spl341_221 | ~spl341_8),
% 20.69/3.25 inference(avatar_split_clause,[],[f33839,f2039,f10872])).
% 20.69/3.25 thf(f43061,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (if @ option @ trm @ (bot_bot @ set @ variable = bot_bot @ set @ variable) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ none @ trm)))) | ~spl341_5),
% 20.69/3.25 inference(constrained_superposition,[],[f2004,f2026])).
% 20.69/3.25 thf(f43335,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (if @ option @ trm @ $true @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f))) @ none @ trm)))) | ~spl341_5),
% 20.69/3.25 inference(boolean_simplification,[],[f43061])).
% 20.69/3.25 thf(f43349,plain,(
% 20.69/3.25 (((uSubst95898992stappt @ sigma @ u @ (const @ f))) = ((if @ option @ trm @ (none @ trm = (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)) @ (some @ trm @ (const @ f)) @ (some @ trm @ (the @ trm @ (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y0 : char > option @ trm]: (product_case_prod @ (char > option @ trm) @ product_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y1 : char > option @ trm]: (product_case_prod @ (char > option @ fml) @ (char > option @ game) @ (char > option @ trm) @ (^[Y2 : char > option @ fml]: ((^[Y3 : char > option @ game]: (Y0)))))))) @ sigma @ f)))))) | ~spl341_5),
% 20.69/3.25 inference(forward_demodulation,[],[f43335,f1479])).
% 20.69/3.25 thf(f43350,plain,(
% 20.69/3.25 spl341_221 | ~spl341_5),
% 20.69/3.25 inference(avatar_split_clause,[],[f43349,f2025,f10872])).
% 20.69/3.25 cnf(s7, plain, spl341_4 | spl341_8, inference(sat_conversion,[],[f2052])).
% 20.69/3.25 cnf(s8, plain, spl341_4 | spl341_5, inference(sat_conversion,[],[f2053])).
% 20.69/3.25 cnf(s14, plain, ~spl341_4, inference(sat_conversion,[],[f2277])).
% 20.69/3.25 cnf(s1436, plain, ~spl341_8 | ~spl341_221, inference(sat_conversion,[],[f33840])).
% 20.69/3.25 cnf(s1695, plain, ~spl341_5 | spl341_221, inference(sat_conversion,[],[f43350])).
% 20.69/3.25 cnf(s2123, plain, spl341_5, inference(rat,[],[s8,s14])).
% 20.69/3.25 cnf(s2124, plain, spl341_221, inference(rat,[],[s1695,s2123])).
% 20.69/3.25 cnf(s2125, plain, ~spl341_8, inference(rat,[],[s1436,s2124])).
% 20.69/3.25 cnf(s2131, plain, $false, inference(rat,[],[s7,s2125,s14])).
% 20.69/3.25 thf(f43351,plain,(
% 20.69/3.25 $false),
% 20.69/3.25 inference(avatar_sat_refutation,[],[s2131])).
% 20.69/3.25 % SZS output end Proof for theBenchmark
% 20.69/3.25 % (1783961)------------------------------
% 20.69/3.25 % (1783961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.25 % (1783961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.25 % (1783961)CaDiCaL version: 2.1.3
% 20.69/3.25 % (1783961)Termination reason: Refutation
% 20.69/3.25 % (1783961)Time elapsed: 2.956 s
% 20.69/3.25 % (1783961)Peak memory usage: 59 MB
% 20.69/3.25 % (1783961)Instructions burned: 12201 (million)
% 20.69/3.25 % (1783955)Success in time 3.017 s
% 20.69/3.25 % Vampire exiting
%------------------------------------------------------------------------------