%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP184^2 : 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 : n005.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 08:11:01 AM UTC 2026
% Result : Theorem 2.22s 0.63s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP184^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:08:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 2.22/0.63 % (2144840)Will run a generic schedule for satisfiability detection.
% 2.22/0.63 % (2144848)dis+10_1_sil=32000:sp=arity:random_seed=551801502:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.22/0.63 % (2144846)% WARNING: option uhcvi not known.
% 2.22/0.63 % (2144849)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1047034309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.22/0.63 % (2144845)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2716029507_2999 on theBenchmark for (2999ds/0Mi)
% 2.22/0.63 % (2144847)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2119625737:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.22/0.63 % (2144846)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2511513251:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.22/0.63 % (2144851)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=518240468:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.22/0.63 % (2144850)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2934890510:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.63 % (2144848)Instruction limit reached!
% 2.22/0.63 % (2144848)------------------------------
% 2.22/0.63 % (2144848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144848)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144848)Termination reason: Instruction limit
% 2.22/0.63 % (2144848)Termination phase: Property scanning
% 2.22/0.63 % (2144848)Time elapsed: 0.025 s
% 2.22/0.63 % (2144848)Peak memory usage: 11 MB
% 2.22/0.63 % (2144848)Instructions burned: 108 (million)
% 2.22/0.63 % (2144849)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.63 % (2144846)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.63 % (2144859)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2239527280:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.22/0.63 % (2144849)Instruction limit reached!
% 2.22/0.63 % (2144849)------------------------------
% 2.22/0.63 % (2144849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144849)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144849)Termination reason: Instruction limit
% 2.22/0.63 % (2144849)Termination phase: Property scanning
% 2.22/0.63 % (2144849)Time elapsed: 0.050 s
% 2.22/0.63 % (2144849)Peak memory usage: 11 MB
% 2.22/0.63 % (2144849)Instructions burned: 117 (million)
% 2.22/0.63 % (2144846)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.63 % Exception at run slice level
% 2.22/0.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.63 % (2144862)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=1655364286:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.22/0.63 % (2144861)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1405705653:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.63 % Exception at run slice level
% 2.22/0.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.63 % (2144851)Instruction limit reached!
% 2.22/0.63 % (2144851)------------------------------
% 2.22/0.63 % (2144851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144851)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144851)Termination reason: Instruction limit
% 2.22/0.63 % (2144851)Termination phase: Saturation
% 2.22/0.63 % (2144851)Time elapsed: 0.069 s
% 2.22/0.63 % (2144851)Peak memory usage: 13 MB
% 2.22/0.63 % (2144851)Instructions burned: 161 (million)
% 2.22/0.63 % (2144862)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.63 % (2144865)ott-21_1_sil=16000:fs=off:random_seed=921840822:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.22/0.63 % (2144866)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=260389300:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.22/0.63 % (2144850)Instruction limit reached!
% 2.22/0.63 % (2144850)------------------------------
% 2.22/0.63 % (2144850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144850)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144850)Termination reason: Instruction limit
% 2.22/0.63 % (2144850)Termination phase: Saturation
% 2.22/0.63 % (2144850)Time elapsed: 0.106 s
% 2.22/0.63 % (2144850)Peak memory usage: 13 MB
% 2.22/0.63 % (2144850)Instructions burned: 132 (million)
% 2.22/0.63 % (2144861)Instruction limit reached!
% 2.22/0.63 % (2144861)------------------------------
% 2.22/0.63 % (2144861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144861)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144861)Termination reason: Instruction limit
% 2.22/0.63 % (2144861)Termination phase: Saturation
% 2.22/0.63 % (2144861)Time elapsed: 0.056 s
% 2.22/0.63 % (2144861)Peak memory usage: 12 MB
% 2.22/0.63 % (2144861)Instructions burned: 132 (million)
% 2.22/0.63 % (2144865)Instruction limit reached!
% 2.22/0.63 % (2144865)------------------------------
% 2.22/0.63 % (2144865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144865)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144865)Termination reason: Instruction limit
% 2.22/0.63 % (2144865)Termination phase: Saturation
% 2.22/0.63 % (2144865)Time elapsed: 0.041 s
% 2.22/0.63 % (2144865)Peak memory usage: 13 MB
% 2.22/0.63 % (2144865)Instructions burned: 181 (million)
% 2.22/0.63 % (2144869)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2001095558:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.22/0.63 % (2144871)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3557614486:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.22/0.63 % (2144870)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2449688837:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.22/0.63 % (2144862)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.63 % Exception at run slice level
% 2.22/0.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.63 % (2144875)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=3791944325: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)
% 2.22/0.63 % (2144875)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.63 % Exception at run slice level
% 2.22/0.63 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.63 % (2144877)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=795267227:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.22/0.63 % (2144877)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.63 % (2144866)Instruction limit reached!
% 2.22/0.63 % (2144866)------------------------------
% 2.22/0.63 % (2144866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144866)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144866)Termination reason: Instruction limit
% 2.22/0.63 % (2144866)Termination phase: Saturation
% 2.22/0.63 % (2144866)Time elapsed: 0.225 s
% 2.22/0.63 % (2144866)Peak memory usage: 15 MB
% 2.22/0.63 % (2144866)Instructions burned: 477 (million)
% 2.22/0.63 % (2144875) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2144840-2144875"...
% 2.22/0.63 % (2144875)...printing done.
% 2.22/0.63 % (2144875)Refutation found. Thanks to Tanya!
% 2.22/0.63 % SZS status Theorem for theBenchmark
% 2.22/0.63 % SZS output start Proof for theBenchmark
% 2.22/0.63 thf(type_def_5, type, late_residual: $tType).
% 2.22/0.63 thf(type_def_6, type, late_subject: $tType).
% 2.22/0.63 thf(type_def_7, type, late_freeRes: $tType).
% 2.22/0.63 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 2.22/0.63 thf(type_def_9, type, noption: $tType > $tType).
% 2.22/0.63 thf(type_def_10, type, name: $tType).
% 2.22/0.63 thf(type_def_11, type, pi: $tType).
% 2.22/0.63 thf(type_def_12, type, set: $tType > $tType).
% 2.22/0.63 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 2.22/0.63 thf(func_def_0, type, fs_name: !>[X0: $tType]:($o)).
% 2.22/0.63 thf(func_def_1, type, bang: (pi > pi)).
% 2.22/0.63 thf(func_def_2, type, input: (name > name > pi > pi)).
% 2.22/0.63 thf(func_def_3, type, match: (name > name > pi > pi)).
% 2.22/0.63 thf(func_def_4, type, mismatch: (name > name > pi > pi)).
% 2.22/0.63 thf(func_def_5, type, output: (name > name > pi > pi)).
% 2.22/0.63 thf(func_def_6, type, par: (pi > pi > pi)).
% 2.22/0.63 thf(func_def_7, type, piNil: pi).
% 2.22/0.63 thf(func_def_8, type, res: (name > pi > pi)).
% 2.22/0.63 thf(func_def_9, type, sum: (pi > pi > pi)).
% 2.22/0.63 thf(func_def_10, type, tau: (pi > pi)).
% 2.22/0.63 thf(func_def_11, type, subs: (pi > name > name > pi)).
% 2.22/0.63 thf(func_def_12, type, subst_name: (name > name > name > name)).
% 2.22/0.63 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.22/0.63 thf(func_def_14, type, late_case_freeRes: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 2.22/0.63 thf(func_def_15, type, late_OutputR: (name > name > late_freeRes)).
% 2.22/0.63 thf(func_def_16, type, late_TauR: late_freeRes).
% 2.22/0.63 thf(func_def_17, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 2.22/0.63 thf(func_def_18, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 2.22/0.63 thf(func_def_19, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 2.22/0.63 thf(func_def_20, type, late_BoundOutputS: (name > late_subject)).
% 2.22/0.63 thf(func_def_21, type, late_InputS: (name > late_subject)).
% 2.22/0.63 thf(func_def_22, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 2.22/0.63 thf(func_def_23, type, late_transitions: (pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_24, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 2.22/0.63 thf(func_def_25, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 2.22/0.63 thf(func_def_26, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.22/0.63 thf(func_def_27, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.22/0.63 thf(func_def_28, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.22/0.63 thf(func_def_29, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 2.22/0.63 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.22/0.63 thf(func_def_31, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 2.22/0.63 thf(func_def_32, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 2.22/0.63 thf(func_def_33, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.22/0.63 thf(func_def_34, type, p: pi).
% 2.22/0.63 thf(func_def_35, type, pqr: pi).
% 2.22/0.63 thf(func_def_36, type, q: pi).
% 2.22/0.63 thf(func_def_37, type, qr: pi).
% 2.22/0.63 thf(func_def_38, type, q2: pi).
% 2.22/0.63 thf(func_def_39, type, r: pi).
% 2.22/0.63 thf(func_def_40, type, rel: set @ product_prod @ pi @ pi).
% 2.22/0.63 thf(func_def_41, type, a: late_subject).
% 2.22/0.63 thf(func_def_42, type, x: name).
% 2.22/0.63 thf(func_def_46, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.22/0.63 thf(func_def_47, type, vAND: ($o > $o > $o)).
% 2.22/0.63 thf(func_def_48, type, db0: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.22/0.63 thf(func_def_50, type, db1: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_51, type, vNOT: ($o > $o)).
% 2.22/0.63 thf(func_def_52, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.22/0.63 thf(func_def_53, type, vIMP: ($o > $o > $o)).
% 2.22/0.63 thf(func_def_54, type, db3: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_55, type, db2: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_56, type, db5: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.22/0.63 thf(func_def_58, type, db6: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_59, type, db4: !>[X0: $tType]:(X0)).
% 2.22/0.63 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 2.22/0.63 thf(func_def_61, type, sP0: (pi > late_subject > name > (pi > $o) > pi > $o)).
% 2.22/0.63 thf(func_def_62, type, sP1: (pi > pi > late_subject > name > pi > $o)).
% 2.22/0.63 thf(func_def_63, type, sP2: (pi > pi > late_subject > name > pi > $o)).
% 2.22/0.63 thf(func_def_64, type, sP3: (pi > pi > set @ product_prod @ pi @ pi > $o)).
% 2.22/0.63 thf(func_def_65, type, sP4: (name > name > pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_66, type, sP5: (name > pi > late_freeRes > pi > $o)).
% 2.22/0.63 thf(func_def_67, type, sP6: (pi > late_freeRes > (pi > $o) > name > $o)).
% 2.22/0.63 thf(func_def_68, type, sP7: !>[X0: $tType]:(((X0 > late_residual > $o) > $o))).
% 2.22/0.63 thf(func_def_69, type, sP8: !>[X0: $tType]:(((X0 > late_residual > $o) > $o))).
% 2.22/0.63 thf(func_def_70, type, sP9: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > $o))).
% 2.22/0.63 thf(func_def_71, type, sP10: (late_residual > pi > name > name > $o)).
% 2.22/0.63 thf(func_def_72, type, sP11: (name > pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_73, type, sP12: (name > pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_74, type, sP13: (late_subject > name > pi > pi > name > name > $o)).
% 2.22/0.63 thf(func_def_75, type, sP14: (name > pi > late_subject > name > pi > $o)).
% 2.22/0.63 thf(func_def_76, type, sP15: (pi > pi > name > set @ product_prod @ pi @ pi > $o)).
% 2.22/0.63 thf(func_def_77, type, sP16: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > $o))).
% 2.22/0.63 thf(func_def_78, type, sP17: (pi > pi > name > set @ product_prod @ pi @ pi > $o)).
% 2.22/0.63 thf(func_def_79, type, sP18: (late_freeRes > pi > (late_freeRes > pi > $o) > name > name > pi > $o)).
% 2.22/0.63 thf(func_def_80, type, sP19: (name > name > pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_81, type, sP20: (late_freeRes > pi > (late_freeRes > pi > $o) > pi > $o)).
% 2.22/0.63 thf(func_def_82, type, sP21: (name > name > pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_83, type, sP22: (pi > late_residual > (name > name > $o) > name > name > $o)).
% 2.22/0.63 thf(func_def_84, type, sP23: (pi > late_residual > name > (name > name > $o) > name > $o)).
% 2.22/0.63 thf(func_def_85, type, sP24: (name > name > pi > late_residual > $o)).
% 2.22/0.63 thf(func_def_86, type, sP25: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_87, type, sP26: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_88, type, sP27: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_89, type, sP28: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_90, type, sP29: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_91, type, sP30: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_92, type, sP31: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_93, type, sP32: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_94, type, sP33: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_95, type, sP34: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_96, type, sP35: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_97, type, sP36: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_98, type, sP37: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_99, type, sP38: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_100, type, sP39: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_101, type, sP40: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 2.22/0.63 thf(func_def_102, type, sP41: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_103, type, sP42: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_104, type, sP43: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_105, type, sP44: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_106, type, sP45: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_107, type, sP46: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_108, type, sP47: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_109, type, sP48: ((pi > $o) > $o)).
% 2.22/0.63 thf(func_def_110, type, sK49: (pi > late_subject > name > (pi > $o) > pi > pi)).
% 2.22/0.63 thf(func_def_111, type, sK50: ((pi > $o) > name > late_subject > pi > pi > pi)).
% 2.22/0.63 thf(func_def_112, type, sK51: !>[X0: $tType]:((X0 > name))).
% 2.22/0.63 thf(func_def_113, type, sK52: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.22/0.63 thf(func_def_114, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.22/0.63 thf(func_def_115, type, sK54: (pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_116, type, sK55: (pi > pi > late_subject > name > pi > late_subject)).
% 2.22/0.63 thf(func_def_117, type, sK56: (pi > pi > late_subject > name > pi > name)).
% 2.22/0.63 thf(func_def_118, type, sK57: (pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_119, type, sK58: (pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_120, type, sK59: (pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_121, type, sK60: (pi > pi > late_subject > name > pi > late_subject)).
% 2.22/0.63 thf(func_def_122, type, sK61: (pi > pi > late_subject > name > pi > name)).
% 2.22/0.63 thf(func_def_123, type, sK62: (pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_124, type, sK63: (pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_125, type, sK64: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.22/0.63 thf(func_def_126, type, sK65: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.22/0.63 thf(func_def_127, type, sK66: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.22/0.63 thf(func_def_128, type, sK67: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.22/0.63 thf(func_def_129, type, sK68: !>[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))).
% 2.22/0.63 thf(func_def_130, type, sK69: !>[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))).
% 2.22/0.63 thf(func_def_131, type, sK70: !>[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))).
% 2.22/0.63 thf(func_def_132, type, sK71: !>[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))).
% 2.22/0.63 thf(func_def_133, type, sK72: !>[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))).
% 2.22/0.63 thf(func_def_134, type, sK73: !>[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))).
% 2.22/0.63 thf(func_def_135, type, sK74: !>[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))).
% 2.22/0.63 thf(func_def_136, type, sK75: !>[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))).
% 2.22/0.63 thf(func_def_137, type, sK76: !>[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))).
% 2.22/0.63 thf(func_def_138, type, sK77: !>[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))).
% 2.22/0.63 thf(func_def_139, type, sK78: !>[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))).
% 2.22/0.63 thf(func_def_140, type, sK79: !>[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))).
% 2.22/0.63 thf(func_def_141, type, sK80: !>[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))).
% 2.22/0.63 thf(func_def_142, type, sK81: !>[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))).
% 2.22/0.63 thf(func_def_143, type, sK82: !>[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))).
% 2.22/0.63 thf(func_def_144, type, sK83: !>[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))).
% 2.22/0.63 thf(func_def_145, type, sK84: !>[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))).
% 2.22/0.63 thf(func_def_146, type, sK85: !>[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))).
% 2.22/0.63 thf(func_def_147, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 2.22/0.63 thf(func_def_148, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 2.22/0.63 thf(func_def_149, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 2.22/0.63 thf(func_def_150, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 2.22/0.63 thf(func_def_151, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 2.22/0.63 thf(func_def_152, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 2.22/0.63 thf(func_def_153, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 2.22/0.63 thf(func_def_154, type, sK93: !>[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))).
% 2.22/0.63 thf(func_def_155, type, sK94: !>[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))).
% 2.22/0.63 thf(func_def_156, type, sK95: !>[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))).
% 2.22/0.63 thf(func_def_157, type, sK96: !>[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))).
% 2.22/0.63 thf(func_def_158, type, sK97: !>[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))).
% 2.22/0.63 thf(func_def_159, type, sK98: !>[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))).
% 2.22/0.63 thf(func_def_160, type, sK99: !>[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))).
% 2.22/0.63 thf(func_def_161, type, sK100: !>[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))).
% 2.22/0.63 thf(func_def_162, type, sK101: !>[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))).
% 2.22/0.63 thf(func_def_163, type, sK102: !>[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))).
% 2.22/0.63 thf(func_def_164, type, sK103: !>[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))).
% 2.22/0.63 thf(func_def_165, type, sK104: !>[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))).
% 2.22/0.63 thf(func_def_166, type, sK105: !>[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))).
% 2.22/0.63 thf(func_def_167, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 2.22/0.63 thf(func_def_168, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 2.22/0.63 thf(func_def_169, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 2.22/0.63 thf(func_def_170, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 2.22/0.63 thf(func_def_171, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 2.22/0.63 thf(func_def_172, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 2.22/0.63 thf(func_def_173, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 2.22/0.63 thf(func_def_174, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 2.22/0.63 thf(func_def_175, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 2.22/0.63 thf(func_def_176, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 2.22/0.63 thf(func_def_177, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 2.22/0.63 thf(func_def_178, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 2.22/0.63 thf(func_def_179, type, sK118: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.22/0.63 thf(func_def_180, type, sK119: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.22/0.63 thf(func_def_181, type, sK120: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.22/0.63 thf(func_def_182, type, sK121: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.22/0.63 thf(func_def_183, type, sK122: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_184, type, sK123: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_185, type, sK124: (set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_186, type, sK125: (set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_187, type, sK126: (set @ product_prod @ pi @ pi > name)).
% 2.22/0.63 thf(func_def_188, type, sK127: (set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_189, type, sK128: (set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_190, type, sK129: (pi > name > late_subject > set @ product_prod @ pi @ pi > pi > pi)).
% 2.22/0.63 thf(func_def_191, type, sK130: (pi > pi > set @ product_prod @ pi @ pi > late_subject)).
% 2.22/0.63 thf(func_def_192, type, sK131: (pi > pi > set @ product_prod @ pi @ pi > name)).
% 2.22/0.63 thf(func_def_193, type, sK132: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_194, type, sK133: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 2.22/0.63 thf(func_def_195, type, sK134: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_196, type, sK135: (name > name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_197, type, sK136: (name > name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_198, type, sK137: (name > name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_199, type, sK138: ((late_residual > $o) > late_freeRes)).
% 2.22/0.63 thf(func_def_200, type, sK139: ((late_residual > $o) > pi)).
% 2.22/0.63 thf(func_def_201, type, sK140: ((late_residual > $o) > late_subject)).
% 2.22/0.63 thf(func_def_202, type, sK141: ((late_residual > $o) > name)).
% 2.22/0.63 thf(func_def_203, type, sK142: ((late_residual > $o) > pi)).
% 2.22/0.63 thf(func_def_204, type, sK143: ((late_subject > $o) > name)).
% 2.22/0.63 thf(func_def_205, type, sK144: ((late_subject > $o) > name)).
% 2.22/0.63 thf(func_def_206, type, sK145: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 2.22/0.63 thf(func_def_207, type, sK146: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 2.22/0.63 thf(func_def_208, type, sK147: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 2.22/0.63 thf(func_def_209, type, sK148: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 2.22/0.63 thf(func_def_210, type, sK149: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 2.22/0.63 thf(func_def_211, type, sK150: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 2.22/0.63 thf(func_def_212, type, sK151: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 2.22/0.63 thf(func_def_213, type, sK152: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 2.22/0.63 thf(func_def_214, type, sK153: (late_subject > name)).
% 2.22/0.63 thf(func_def_215, type, sK154: (late_subject > name)).
% 2.22/0.63 thf(func_def_216, type, sK155: (name > pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_217, type, sK156: (name > pi > late_freeRes > pi > late_freeRes)).
% 2.22/0.63 thf(func_def_218, type, sK157: (name > pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_219, type, sK158: (name > pi > late_freeRes > pi > name)).
% 2.22/0.63 thf(func_def_220, type, sK159: (pi > late_freeRes > (pi > $o) > name > pi)).
% 2.22/0.63 thf(func_def_221, type, sK160: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 2.22/0.63 thf(func_def_222, type, sK161: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_223, type, sK162: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_224, type, sK163: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 2.22/0.63 thf(func_def_225, type, sK164: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 2.22/0.63 thf(func_def_226, type, sK165: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 2.22/0.63 thf(func_def_227, type, sK166: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 2.22/0.63 thf(func_def_228, type, sK167: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 2.22/0.63 thf(func_def_229, type, sK168: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 2.22/0.63 thf(func_def_230, type, sK169: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 2.22/0.63 thf(func_def_231, type, sK170: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 2.22/0.63 thf(func_def_232, type, sK171: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 2.22/0.63 thf(func_def_233, type, sK172: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 2.22/0.63 thf(func_def_234, type, sK173: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 2.22/0.63 thf(func_def_235, type, sK174: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 2.22/0.63 thf(func_def_236, type, sK175: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 2.22/0.63 thf(func_def_237, type, sK176: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 2.22/0.63 thf(func_def_238, type, sK177: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > late_subject))).
% 2.22/0.63 thf(func_def_239, type, sK178: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name))).
% 2.22/0.63 thf(func_def_240, type, sK179: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > pi))).
% 2.22/0.63 thf(func_def_241, type, sK180: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 2.22/0.63 thf(func_def_242, type, sK181: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_243, type, sK182: (name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_244, type, sK183: (name > pi > late_residual > late_freeRes)).
% 2.22/0.63 thf(func_def_245, type, sK184: (name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_246, type, sK185: (name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_247, type, sK186: (name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_248, type, sK187: (name > pi > late_residual > late_subject)).
% 2.22/0.63 thf(func_def_249, type, sK188: (name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_250, type, sK189: (name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_251, type, sK190: (name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_252, type, sK191: (late_residual > pi > name > name > pi)).
% 2.22/0.63 thf(func_def_253, type, sK192: (late_residual > pi > name > pi)).
% 2.22/0.63 thf(func_def_254, type, sK193: (late_residual > pi > name > name)).
% 2.22/0.63 thf(func_def_255, type, sK194: (late_residual > pi > name > name)).
% 2.22/0.63 thf(func_def_256, type, sK195: (name > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_257, type, sK196: (name > pi > late_subject > name > pi > late_subject)).
% 2.22/0.63 thf(func_def_258, type, sK197: (name > pi > late_subject > name > pi > name)).
% 2.22/0.63 thf(func_def_259, type, sK198: (name > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_260, type, sK199: (name > pi > late_subject > name > pi > name)).
% 2.22/0.63 thf(func_def_261, type, sK200: (late_subject > name > pi > pi > name > name > pi)).
% 2.22/0.63 thf(func_def_262, type, sK201: (pi > name > late_subject > pi > name > pi)).
% 2.22/0.63 thf(func_def_263, type, sK202: (pi > name > late_subject > pi > name > name)).
% 2.22/0.63 thf(func_def_264, type, sK203: (pi > name > late_subject > pi > name > name)).
% 2.22/0.63 thf(func_def_265, type, sK204: (pi > pi > name > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_266, type, sK205: (pi > pi > name > set @ product_prod @ pi @ pi > late_freeRes)).
% 2.22/0.63 thf(func_def_267, type, sK206: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > pi))).
% 2.22/0.63 thf(func_def_268, type, sK207: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > late_subject))).
% 2.22/0.63 thf(func_def_269, type, sK208: !>[X0: $tType]:((pi > X0 > pi > name > set @ product_prod @ pi @ pi > name))).
% 2.22/0.63 thf(func_def_270, type, sK209: (pi > pi > name > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_271, type, sK210: (pi > pi > name > set @ product_prod @ pi @ pi > name)).
% 2.22/0.63 thf(func_def_272, type, sK211: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 2.22/0.63 thf(func_def_273, type, sK212: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 2.22/0.63 thf(func_def_274, type, sK213: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 2.22/0.63 thf(func_def_275, type, sK214: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 2.22/0.63 thf(func_def_276, type, sK215: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 2.22/0.63 thf(func_def_277, type, sK216: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 2.22/0.63 thf(func_def_278, type, sK217: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 2.22/0.63 thf(func_def_279, type, sK218: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 2.22/0.63 thf(func_def_280, type, sK219: ((late_freeRes > $o) > name)).
% 2.22/0.63 thf(func_def_281, type, sK220: ((late_freeRes > $o) > name)).
% 2.22/0.63 thf(func_def_282, type, sK221: (late_freeRes > name)).
% 2.22/0.63 thf(func_def_283, type, sK222: (late_freeRes > name)).
% 2.22/0.63 thf(func_def_284, type, sK223: (name > name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_285, type, sK224: (name > name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_286, type, sK225: (name > name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_287, type, sK226: (late_residual > pi > pi)).
% 2.22/0.63 thf(func_def_288, type, sK227: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_289, type, sK228: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_290, type, sK229: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_291, type, sK230: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 2.22/0.63 thf(func_def_292, type, sK231: (set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_293, type, sK232: (set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_294, type, sK233: (name > name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_295, type, sK234: (name > name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_296, type, sK235: (name > name > pi > late_residual > name)).
% 2.22/0.63 thf(func_def_297, type, sK236: (name > name > pi > late_residual > pi)).
% 2.22/0.63 thf(func_def_298, type, sK237: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_299, type, sK238: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_300, type, sK239: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_301, type, sK240: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_302, type, sK241: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_303, type, sK242: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_304, type, sK243: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_305, type, sK244: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_306, type, sK245: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_307, type, sK246: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_308, type, sK247: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_309, type, sK248: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_310, type, sK249: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_311, type, sK250: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_312, type, sK251: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_313, type, sK252: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_314, type, sK253: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_315, type, sK254: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_316, type, sK255: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_317, type, sK256: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_318, type, sK257: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_319, type, sK258: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_320, type, sK259: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_321, type, sK260: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_322, type, sK261: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_323, type, sK262: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_324, type, sK263: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_325, type, sK264: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_326, type, sK265: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_327, type, sK266: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_328, type, sK267: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_329, type, sK268: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_330, type, sK269: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_331, type, sK270: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_332, type, sK271: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_333, type, sK272: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_334, type, sK273: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_335, type, sK274: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_336, type, sK275: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_337, type, sK276: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_338, type, sK277: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_339, type, sK278: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_340, type, sK279: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_341, type, sK280: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_342, type, sK281: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_343, type, sK282: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_344, type, sK283: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_345, type, sK284: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_346, type, sK285: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_347, type, sK286: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_348, type, sK287: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_349, type, sK288: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_350, type, sK289: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_351, type, sK290: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_352, type, sK291: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 2.22/0.63 thf(func_def_353, type, sK292: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_354, type, sK293: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_355, type, sK294: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 2.22/0.63 thf(func_def_356, type, sK295: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_357, type, sK296: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 2.22/0.63 thf(func_def_358, type, sK297: (late_residual > pi > pi)).
% 2.22/0.63 thf(func_def_359, type, sK298: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_360, type, sK299: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_361, type, sK300: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_362, type, sK301: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_363, type, sK302: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_364, type, sK303: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_365, type, sK304: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_366, type, sK305: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_367, type, sK306: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_368, type, sK307: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_369, type, sK308: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_370, type, sK309: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_371, type, sK310: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_372, type, sK311: ((pi > $o) > name)).
% 2.22/0.63 thf(func_def_373, type, sK312: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_374, type, sK313: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_375, type, sK314: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_376, type, sK315: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_377, type, sK316: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_378, type, sK317: ((pi > $o) > pi)).
% 2.22/0.63 thf(func_def_379, type, sK318: (set @ product_prod @ pi @ pi > name > pi > late_subject > pi)).
% 2.22/0.63 thf(func_def_380, type, sK319: (set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_381, type, sK320: (pi > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_382, type, sK321: (pi > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_383, type, sK322: (pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 2.22/0.63 thf(func_def_384, type, sK323: (pi > set @ product_prod @ pi @ pi > name)).
% 2.22/0.63 thf(func_def_385, type, sK324: (pi > set @ product_prod @ pi @ pi > late_subject)).
% 2.22/0.63 thf(func_def_386, type, sK325: (pi > set @ product_prod @ pi @ pi > late_subject)).
% 2.22/0.63 thf(func_def_387, type, sK326: (pi > name > set @ product_prod @ pi @ pi > name > pi)).
% 2.22/0.63 thf(func_def_388, type, sK327: (pi > name > set @ product_prod @ pi @ pi > name > pi)).
% 2.22/0.63 thf(func_def_389, type, sK328: (name > name > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 2.22/0.63 thf(func_def_390, type, sK329: (name > pi > set @ product_prod @ pi @ pi > name > name)).
% 2.22/0.63 thf(func_def_391, type, sK330: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 2.22/0.63 thf(func_def_392, type, sK331: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 2.22/0.63 thf(func_def_393, type, sK332: (name > pi > set @ product_prod @ pi @ pi > name > pi)).
% 2.22/0.63 thf(func_def_394, type, sK333: (name > pi > set @ product_prod @ pi @ pi > name > pi)).
% 2.22/0.63 thf(func_def_395, type, sK334: (name > pi > set @ product_prod @ pi @ pi > name > late_freeRes)).
% 2.22/0.63 thf(func_def_396, type, sK335: (name > pi > set @ product_prod @ pi @ pi > name > name)).
% 2.22/0.63 thf(func_def_397, type, sK336: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 2.22/0.63 thf(func_def_398, type, sK337: (name > pi > set @ product_prod @ pi @ pi > name > late_subject)).
% 2.22/0.63 thf(func_def_399, type, sK338: (set @ product_prod @ pi @ pi > pi > name > pi > late_subject > pi)).
% 2.22/0.63 thf(func_def_400, type, sK339: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_401, type, sK340: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi)).
% 2.22/0.63 thf(func_def_402, type, sK341: (pi > set @ product_prod @ pi @ pi > late_freeRes > pi)).
% 2.22/0.63 thf(func_def_403, type, sK342: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 2.22/0.63 thf(func_def_404, type, sK343: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 2.22/0.63 thf(func_def_405, type, sK344: (pi > name > set @ product_prod @ pi @ pi > late_subject > pi > pi)).
% 2.22/0.63 thf(func_def_406, type, sK345: (pi > late_freeRes > set @ product_prod @ pi @ pi > pi > pi)).
% 2.22/0.63 thf(func_def_407, type, sK346: (set @ product_prod @ pi @ pi > late_subject > pi > name > pi > pi)).
% 2.22/0.63 thf(func_def_408, type, sK347: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_409, type, sK348: (set @ product_prod @ pi @ pi > pi > late_subject > name > pi > pi)).
% 2.22/0.63 thf(func_def_410, type, sK349: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_411, type, sK350: (set @ product_prod @ pi @ pi > pi > pi > late_subject > name > pi)).
% 2.22/0.63 thf(func_def_412, type, sK351: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes > pi)).
% 2.22/0.63 thf(func_def_413, type, sK352: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_414, type, sK353: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_415, type, sK354: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 2.22/0.63 thf(func_def_416, type, sK355: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 2.22/0.63 thf(func_def_417, type, sK356: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_418, type, sK357: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_419, type, sK358: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_420, type, sK359: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_421, type, sK360: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 2.22/0.63 thf(func_def_422, type, sK361: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 2.22/0.63 thf(func_def_423, type, sK362: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_424, type, sK363: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_425, type, sK364: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_426, type, sK365: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_427, type, sK366: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_428, type, sK367: (pi > pi > late_freeRes > set @ product_prod @ pi @ pi > pi)).
% 2.22/0.63 thf(func_def_429, type, sK368: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_430, type, sK369: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_431, type, sK370: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 2.22/0.63 thf(func_def_432, type, sK371: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 2.22/0.63 thf(func_def_433, type, sK372: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_434, type, sK373: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_435, type, sK374: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_436, type, sK375: (set @ product_prod @ pi @ pi > pi > pi > pi)).
% 2.22/0.63 thf(func_def_437, type, sK376: (set @ product_prod @ pi @ pi > pi > pi > late_freeRes)).
% 2.22/0.63 thf(func_def_438, type, sK377: (set @ product_prod @ pi @ pi > pi > pi > name)).
% 2.22/0.63 thf(func_def_439, type, sK378: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_440, type, sK379: (set @ product_prod @ pi @ pi > pi > pi > late_subject)).
% 2.22/0.63 thf(func_def_441, type, sK380: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 2.22/0.63 thf(func_def_442, type, sK381: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(func_def_443, type, sK382: (pi > late_subject > set @ product_prod @ pi @ pi > name > pi > pi > pi)).
% 2.22/0.63 thf(func_def_444, type, sK383: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes > pi > pi)).
% 2.22/0.63 thf(f1,axiom,(
% 2.22/0.63 (strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)),
% 2.22/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062derivative_A_I_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_J_A_IP_A_092_060parallel_062_AQ_H_A_092_060parallel_062_AR_J_Aa_Ax_ARel_092_060close_062)).
% 2.22/0.63 thf(f3,axiom,(
% 2.22/0.63 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))),
% 2.22/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_A_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_092_060close_062)).
% 2.22/0.63 thf(f264,axiom,(
% 2.22/0.63 ! [X0 : $o] : ((X0 = $false) | (X0 = $true))),
% 2.22/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T)).
% 2.22/0.63 thf(f267,conjecture,(
% 2.22/0.63 ? [X0 : pi] : ((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel) & (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0)))),
% 2.22/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.22/0.63 thf(f268,negated_conjecture,(
% 2.22/0.63 ~ ? [X0 : pi] : ((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel) & (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0)))),
% 2.22/0.63 inference(negated_conjecture,[status(cth)],[f267])).
% 2.22/0.63 thf(f269,plain,(
% 2.22/0.63 (strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)),
% 2.22/0.63 inference(rectify,[],[f1])).
% 2.22/0.63 thf(f270,plain,(
% 2.22/0.63 (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true)),
% 2.22/0.63 inference(fool_elimination,[],[f269])).
% 2.22/0.63 thf(f273,plain,(
% 2.22/0.63 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))),
% 2.22/0.63 inference(rectify,[],[f3])).
% 2.22/0.63 thf(f274,plain,(
% 2.22/0.63 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) = $true)),
% 2.22/0.63 inference(fool_elimination,[],[f273])).
% 2.22/0.63 thf(f607,plain,(
% 2.22/0.63 ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 2.22/0.63 inference(fool_elimination,[],[f264])).
% 2.22/0.63 thf(f612,plain,(
% 2.22/0.63 ~ ? [X0 : pi] : ((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel) & (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0)))),
% 2.22/0.63 inference(rectify,[],[f268])).
% 2.22/0.63 thf(f613,plain,(
% 2.22/0.63 ~ ? [X0 : pi] : ((((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true) & (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) = $true))),
% 2.22/0.63 inference(fool_elimination,[],[f612])).
% 2.22/0.63 thf(f823,plain,(
% 2.22/0.63 ! [X0 : pi] : ((((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) != $true))),
% 2.22/0.63 inference(ennf_transformation,[],[f613])).
% 2.22/0.63 thf(f1103,plain,(
% 2.22/0.63 (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true)),
% 2.22/0.63 inference(cnf_transformation,[],[f270])).
% 2.22/0.63 thf(f1105,plain,(
% 2.22/0.63 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) = $true)),
% 2.22/0.63 inference(cnf_transformation,[],[f274])).
% 2.22/0.63 thf(f1541,plain,(
% 2.22/0.63 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.22/0.63 inference(cnf_transformation,[],[f607])).
% 2.22/0.63 thf(f1544,plain,(
% 2.22/0.63 ( ! [X0 : pi] : ((((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) != $true)) )),
% 2.22/0.63 inference(cnf_transformation,[],[f823])).
% 2.22/0.63 thf(f2381,plain,(
% 2.22/0.63 ( ! [X0 : pi] : (($true != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) != $true) | (((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $false)) )),
% 2.22/0.63 inference(constrained_superposition,[],[f1544,f1541])).
% 2.22/0.63 thf(f2382,plain,(
% 2.22/0.63 ( ! [X0 : pi] : ((((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) != $true) | (((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $false)) )),
% 2.22/0.63 inference(trivial_inequality_removal,[],[f2381])).
% 2.22/0.63 thf(f6001,plain,(
% 2.22/0.63 ($true != $true) | (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $false)),
% 2.22/0.63 inference(constrained_superposition,[],[f2382,f1105])).
% 2.22/0.63 thf(f6002,plain,(
% 2.22/0.63 (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $false)),
% 2.22/0.63 inference(trivial_inequality_removal,[],[f6001])).
% 2.22/0.63 thf(f6496,plain,(
% 2.22/0.63 ($true = $false)),
% 2.22/0.63 inference(constrained_superposition,[],[f6002,f1103])).
% 2.22/0.63 thf(f6497,plain,(
% 2.22/0.63 $false),
% 2.22/0.63 inference(trivial_inequality_removal,[],[f6496])).
% 2.22/0.63 % SZS output end Proof for theBenchmark
% 2.22/0.63 % (2144875)------------------------------
% 2.22/0.63 % (2144875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (2144875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (2144875)CaDiCaL version: 2.1.3
% 2.22/0.63 % (2144875)Termination reason: Refutation
% 2.22/0.63 % (2144875)Time elapsed: 0.145 s
% 2.22/0.63 % (2144875)Peak memory usage: 19 MB
% 2.22/0.63 % (2144875)Instructions burned: 532 (million)
% 2.22/0.63 % (2144840)Success in time 0.387 s
% 2.22/0.63 % Vampire exiting
%------------------------------------------------------------------------------