Vampire-SAT---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO025^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 08:20:31 AM UTC 2026

% Result   : Theorem 2.54s 0.68s
% Output   : Refutation 2.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO025^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n015.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 13:24:33 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
% 2.54/0.68  % (3501781)Will run a generic schedule for satisfiability detection.
% 2.54/0.68  % (3501787)% WARNING: option uhcvi not known.
% 2.54/0.68  % (3501787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3852620142:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.54/0.68  % (3501786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3394537256_2999 on theBenchmark for (2999ds/0Mi)
% 2.54/0.68  % (3501788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=473800391:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.54/0.68  % (3501789)dis+10_1_sil=32000:sp=arity:random_seed=665315040:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.54/0.68  % (3501790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3673503876:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.54/0.68  % (3501791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2907476425:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.54/0.68  % (3501792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1620876322:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.54/0.68  % (3501787)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.68  % (3501790)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.68  % (3501789)Instruction limit reached! 
% 2.54/0.68  % (3501789)------------------------------
% 2.54/0.68  % (3501789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501789)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501789)Termination reason: Instruction limit
% 2.54/0.68  % (3501789)Termination phase: Naming
% 2.54/0.68  % (3501789)Time elapsed: 0.044 s
% 2.54/0.68  % (3501789)Peak memory usage: 12 MB
% 2.54/0.68  % (3501789)Instructions burned: 105 (million)
% 2.54/0.68  % (3501787)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.54/0.68  % (3501790)Instruction limit reached! 
% 2.54/0.68  % (3501790)------------------------------
% 2.54/0.68  % (3501790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501790)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501790)Termination reason: Instruction limit
% 2.54/0.68  % (3501790)Termination phase: Preprocessing 3
% 2.54/0.68  % (3501790)Time elapsed: 0.049 s
% 2.54/0.68  % (3501790)Peak memory usage: 12 MB
% 2.54/0.68  % (3501790)Instructions burned: 116 (million)
% 2.54/0.68  % (3501791)Instruction limit reached! 
% 2.54/0.68  % (3501791)------------------------------
% 2.54/0.68  % (3501791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501791)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501791)Termination reason: Instruction limit
% 2.54/0.68  % (3501791)Termination phase: Preprocessing 3
% 2.54/0.68  % (3501791)Time elapsed: 0.056 s
% 2.54/0.68  % (3501791)Peak memory usage: 12 MB
% 2.54/0.68  % (3501791)Instructions burned: 132 (million)
% 2.54/0.68  % (3501800)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2695174126:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.54/0.68  % (3501801)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3711967680:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.54/0.68  % (3501792)Instruction limit reached! 
% 2.54/0.68  % (3501792)------------------------------
% 2.54/0.68  % (3501792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501792)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501792)Termination reason: Instruction limit
% 2.54/0.68  % (3501792)Termination phase: Property scanning
% 2.54/0.68  % (3501792)Time elapsed: 0.072 s
% 2.54/0.68  % (3501792)Peak memory usage: 12 MB
% 2.54/0.68  % (3501792)Instructions burned: 159 (million)
% 2.54/0.68  % (3501802)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=1128011284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.54/0.68  % (3501805)ott-21_1_sil=16000:fs=off:random_seed=3602278168:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.54/0.68  % Exception at run slice level
% 2.54/0.68  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.68  % (3501808)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4156683399:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.54/0.68  % (3501802)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.68  % (3501801)Instruction limit reached! 
% 2.54/0.68  % (3501801)------------------------------
% 2.54/0.68  % (3501801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501801)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501801)Termination reason: Instruction limit
% 2.54/0.68  % (3501801)Termination phase: Preprocessing 3
% 2.54/0.68  % (3501801)Time elapsed: 0.055 s
% 2.54/0.68  % (3501801)Peak memory usage: 12 MB
% 2.54/0.68  % (3501801)Instructions burned: 131 (million)
% 2.54/0.68  % (3501810)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=566750595:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.54/0.68  % Exception at run slice level
% 2.54/0.68  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.68  % (3501805)Instruction limit reached! 
% 2.54/0.68  % (3501805)------------------------------
% 2.54/0.68  % (3501805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501805)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501805)Termination reason: Instruction limit
% 2.54/0.68  % (3501805)Termination phase: Property scanning
% 2.54/0.68  % (3501805)Time elapsed: 0.076 s
% 2.54/0.68  % (3501805)Peak memory usage: 12 MB
% 2.54/0.68  % (3501805)Instructions burned: 181 (million)
% 2.54/0.68  % (3501802)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.54/0.68  % (3501812)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3274284007:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.54/0.68  % (3501813)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1240144463:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.54/0.68  % Exception at run slice level
% 2.54/0.68  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.68  % (3501816)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=716948755:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 2.54/0.68  % Exception at run slice level
% 2.54/0.68  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.54/0.68  % (3501818)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2723525481:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 2.54/0.68  % (3501816)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.68  % (3501808)Instruction limit reached! 
% 2.54/0.68  % (3501808)------------------------------
% 2.54/0.68  % (3501808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.68  % (3501808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.68  % (3501808)CaDiCaL version: 2.1.3
% 2.54/0.68  % (3501808)Termination reason: Instruction limit
% 2.54/0.68  % (3501808)Termination phase: Saturation
% 2.54/0.68  % (3501808)Time elapsed: 0.207 s
% 2.54/0.68  % (3501808)Peak memory usage: 15 MB
% 2.54/0.68  % (3501808)Instructions burned: 480 (million)
% 2.54/0.68  % (3501820)fmb+10_1_sil=64000:random_seed=3917181487:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 2.54/0.68  % (3501818)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.54/0.68  % (3501812) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3501781-3501812"...
% 2.54/0.68  % (3501812)...printing done.
% 2.54/0.68  % (3501812)Refutation found. Thanks to Tanya!
% 2.54/0.68  % SZS status Theorem for theBenchmark
% 2.54/0.68  % SZS output start Proof for theBenchmark
% 2.54/0.68  thf(type_def_5, type, proces554692349s_term: ($tType * $tType) > $tType).
% 2.54/0.68  thf(type_def_6, type, proces634752977rocess: $tType > $tType).
% 2.54/0.68  thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 2.54/0.68  thf(type_def_8, type, set: $tType > $tType).
% 2.54/0.68  thf(type_def_9, type, itself: $tType > $tType).
% 2.54/0.68  thf(type_def_10, type, b: $tType).
% 2.54/0.68  thf(type_def_11, type, a: $tType).
% 2.54/0.68  thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 2.54/0.68  thf(func_def_0, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 2.54/0.68  thf(func_def_1, type, undefined: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_2, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.54/0.68  thf(func_def_3, type, proces1239275103le_CH1: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.68  thf(func_def_4, type, proces1869379930H1_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_5, type, proces1239275104le_CH2: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.68  thf(func_def_6, type, proces93903513H2_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_7, type, proces126235999e_CONT: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.68  thf(func_def_8, type, proces1004198490NT_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_9, type, proces1708129104e_PREF: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.68  thf(func_def_10, type, proces527360425EF_rel: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_11, type, proces1121166967uarded: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 2.54/0.68  thf(func_def_12, type, proces687458811_isACT: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X3 @ X0 > $o))).
% 2.54/0.68  thf(func_def_13, type, proces896239806CT_rel: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > $o))).
% 2.54/0.68  thf(func_def_14, type, proces1525233512Action: !>[X0: $tType]:((X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.68  thf(func_def_15, type, proces1915862579Choice: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.68  thf(func_def_16, type, proces1406508781rocess: !>[X0: $tType, X1: $tType]:(((X0 > proces634752977rocess @ X0 > X1) > (proces634752977rocess @ X0 > proces634752977rocess @ X0 > X1) > proces634752977rocess @ X0 > X1))).
% 2.54/0.68  thf(func_def_17, type, proces979765041_ch1Of: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.68  thf(func_def_18, type, proces988026546_ch2Of: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.68  thf(func_def_19, type, proces1778668539contOf: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.68  thf(func_def_20, type, proces894737309rocess: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > X0 > proces634752977rocess @ X1))).
% 2.54/0.68  thf(func_def_21, type, proces10484146Action: !>[X0: $tType]:((proces634752977rocess @ X0 > $o))).
% 2.54/0.68  thf(func_def_22, type, proces401113213Choice: !>[X0: $tType]:((proces634752977rocess @ X0 > $o))).
% 2.54/0.68  thf(func_def_23, type, proces370407749rocess: !>[X0: $tType, X1: $tType]:(((X0 > X1) > proces634752977rocess @ X0 > proces634752977rocess @ X1))).
% 2.54/0.68  thf(func_def_24, type, proces1205983068rocess: !>[X0: $tType]:(((X0 > $o) > proces634752977rocess @ X0 > $o))).
% 2.54/0.68  thf(func_def_25, type, proces745025900prefOf: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 2.54/0.68  thf(func_def_26, type, proces749077512rocess: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o))).
% 2.54/0.68  thf(func_def_27, type, proces1454156180ss_ACT: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.68  thf(func_def_28, type, proces89589571ess_CH: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.68  thf(func_def_29, type, proces1062592052s_PROC: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X0 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.68  thf(func_def_30, type, proces1627516585ss_VAR: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.68  thf(func_def_31, type, proces460752237s_term: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (proces634752977rocess @ X2 > X1) > (X2 > proces554692349s_term @ X2 @ X0 > X1) > (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1) > proces554692349s_term @ X2 @ X0 > X1))).
% 2.54/0.68  thf(func_def_32, type, proces224683037s_term: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > proces554692349s_term @ X0 @ X2 > proces554692349s_term @ X1 @ X3))).
% 2.54/0.68  thf(func_def_33, type, proces2118920028s_term: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > proces554692349s_term @ X0 @ X1 > $o))).
% 2.54/0.68  thf(func_def_34, type, proces2117273769s_term: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (proces634752977rocess @ X2 > X1) > (X2 > proces554692349s_term @ X2 @ X0 > X1 > X1) > (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1 > X1 > X1) > proces554692349s_term @ X2 @ X0 > X1))).
% 2.54/0.68  thf(func_def_35, type, proces2029722208s_term: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > proces554692349s_term @ X0 @ X2 > proces554692349s_term @ X1 @ X3 > $o))).
% 2.54/0.68  thf(func_def_36, type, proces1493547885s_term: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > set @ X1))).
% 2.54/0.68  thf(func_def_37, type, proces1652378886lution: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.68  thf(func_def_38, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.54/0.68  thf(func_def_39, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 2.54/0.68  thf(func_def_40, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.54/0.68  thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.54/0.68  thf(func_def_42, type, type: !>[X0: $tType]:(itself @ X0)).
% 2.54/0.68  thf(func_def_43, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 2.54/0.68  thf(func_def_44, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.54/0.68  thf(func_def_45, type, acc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 2.54/0.68  thf(func_def_46, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 2.54/0.68  thf(func_def_47, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.54/0.68  thf(func_def_48, type, adm_wf: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > ((X0 > X1) > X0 > X1) > $o))).
% 2.54/0.68  thf(func_def_49, type, cut: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ product_prod @ X0 @ X0 > X0 > X0 > X1))).
% 2.54/0.68  thf(func_def_50, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.54/0.68  thf(func_def_51, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.54/0.68  thf(func_def_52, type, a2: a).
% 2.54/0.68  thf(func_def_53, type, a3: a).
% 2.54/0.68  thf(func_def_54, type, p: proces634752977rocess @ a).
% 2.54/0.68  thf(func_def_55, type, p2: proces634752977rocess @ a).
% 2.54/0.68  thf(func_def_56, type, pa: proces634752977rocess @ a).
% 2.54/0.68  thf(func_def_57, type, q: proces634752977rocess @ a).
% 2.54/0.68  thf(func_def_58, type, sys: (b > proces554692349s_term @ a @ b)).
% 2.54/0.68  thf(func_def_60, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.54/0.68  thf(func_def_63, type, db1: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_64, type, db0: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.54/0.68  thf(func_def_66, type, vAND: ($o > $o > $o)).
% 2.54/0.68  thf(func_def_67, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.54/0.68  thf(func_def_68, type, db2: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_69, type, vNOT: ($o > $o)).
% 2.54/0.68  thf(func_def_70, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.54/0.68  thf(func_def_71, type, vOR: ($o > $o > $o)).
% 2.54/0.68  thf(func_def_72, type, vIMP: ($o > $o > $o)).
% 2.54/0.68  thf(func_def_73, type, db3: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_74, type, db11: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_75, type, db10: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_76, type, db9: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_77, type, db8: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_78, type, db7: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_79, type, db6: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_80, type, db5: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_81, type, db4: !>[X0: $tType]:(X0)).
% 2.54/0.68  thf(func_def_82, type, sP0: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X1 > $o))).
% 2.54/0.68  thf(func_def_83, type, sP1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o > $o))).
% 2.54/0.68  thf(func_def_84, type, sP2: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_85, type, sP3: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X0 @ X1 > X0 > (X1 > proces554692349s_term @ X0 @ X2) > $o))).
% 2.54/0.68  thf(func_def_86, type, sP4: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 2.54/0.68  thf(func_def_87, type, sP5: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 2.54/0.68  thf(func_def_88, type, sP6: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 2.54/0.68  thf(func_def_89, type, sP7: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.68  thf(func_def_90, type, sP8: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.68  thf(func_def_91, type, sP9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X0 @ X1 > $o > (X1 > proces554692349s_term @ X3 @ X2) > $o))).
% 2.54/0.68  thf(func_def_92, type, sP10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > $o))).
% 2.54/0.68  thf(func_def_93, type, sP11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > $o))).
% 2.54/0.68  thf(func_def_94, type, sP12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.68  thf(func_def_95, type, sP13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.68  thf(func_def_96, type, sP14: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_97, type, sP15: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 2.54/0.68  thf(func_def_98, type, sP16: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 2.54/0.68  thf(func_def_99, type, sP17: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.68  thf(func_def_100, type, sP18: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.68  thf(func_def_101, type, sP19: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 2.54/0.68  thf(func_def_102, type, sP20: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.69  thf(func_def_103, type, sP21: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.54/0.69  thf(func_def_104, type, sP22: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 2.54/0.69  thf(func_def_105, type, sP23: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 2.54/0.69  thf(func_def_106, type, sP24: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_107, type, sP25: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 2.54/0.69  thf(func_def_108, type, sP26: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (proces634752977rocess @ X1 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X1 > proces634752977rocess @ X0 > $o))).
% 2.54/0.69  thf(func_def_109, type, sP27: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_110, type, sP28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_111, type, sP29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_112, type, sP30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_113, type, sP31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_114, type, sP32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X1 > X0 > $o) > $o))).
% 2.54/0.69  thf(func_def_115, type, sK33: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_116, type, sK34: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_117, type, sK35: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_118, type, sK36: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_119, type, sK37: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_120, type, sK38: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_121, type, sK39: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_122, type, sK40: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_123, type, sK41: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_124, type, sK42: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_125, type, sK43: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_126, type, sK44: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_127, type, sK45: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_128, type, sK46: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_129, type, sK47: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_130, type, sK48: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_131, type, sK49: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_132, type, sK50: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_133, type, sK51: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_134, type, sK52: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_135, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_136, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_137, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_138, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_139, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X2))).
% 2.54/0.69  thf(func_def_140, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_141, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_142, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > proces634752977rocess @ X2))).
% 2.54/0.69  thf(func_def_143, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_144, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:((((X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1 > $o) > X1))).
% 2.54/0.69  thf(func_def_145, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_146, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_147, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_148, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_149, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X3))).
% 2.54/0.69  thf(func_def_150, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_151, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_152, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > proces634752977rocess @ X3))).
% 2.54/0.69  thf(func_def_153, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_154, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > $o) > X2))).
% 2.54/0.69  thf(func_def_155, type, sK73: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_156, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.54/0.69  thf(func_def_157, type, sK75: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_158, type, sK76: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_159, type, sK77: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_160, type, sK78: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_161, type, sK79: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_162, type, sK80: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_163, type, sK81: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_164, type, sK82: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_165, type, sK83: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_166, type, sK84: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_167, type, sK85: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_168, type, sK86: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0))).
% 2.54/0.69  thf(func_def_169, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X1 > X2))).
% 2.54/0.69  thf(func_def_170, type, sK88: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_171, type, sK89: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_172, type, sK90: !>[X0: $tType, X1: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_173, type, sK91: !>[X0: $tType, X1: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_174, type, sK92: !>[X0: $tType, X1: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_175, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > $o > X2))).
% 2.54/0.69  thf(func_def_176, type, sK94: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_177, type, sK95: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_178, type, sK96: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > X0))).
% 2.54/0.69  thf(func_def_179, type, sK97: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_180, type, sK98: !>[X0: $tType, X1: $tType]:(($o > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_181, type, sK99: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_182, type, sK100: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_183, type, sK101: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_184, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 2.54/0.69  thf(func_def_185, type, sK103: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_186, type, sK104: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_187, type, sK105: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_188, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 2.54/0.69  thf(func_def_189, type, sK107: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_190, type, sK108: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_191, type, sK109: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_192, type, sK110: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_193, type, sK111: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_194, type, sK112: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_195, type, sK113: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_196, type, sK114: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_197, type, sK115: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_198, type, sK116: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0))).
% 2.54/0.69  thf(func_def_199, type, sK117: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_200, type, sK118: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_201, type, sK119: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_202, type, sK120: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_203, type, sK121: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_204, type, sK122: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_205, type, sK123: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_206, type, sK124: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_207, type, sK125: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_208, type, sK126: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0))).
% 2.54/0.69  thf(func_def_209, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_210, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_211, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_212, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_213, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X2))).
% 2.54/0.69  thf(func_def_214, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_215, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_216, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces634752977rocess @ X2))).
% 2.54/0.69  thf(func_def_217, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_218, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1))).
% 2.54/0.69  thf(func_def_219, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_220, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_221, type, sK139: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_222, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_223, type, sK141: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X3))).
% 2.54/0.69  thf(func_def_224, type, sK142: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_225, type, sK143: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_226, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > proces634752977rocess @ X3))).
% 2.54/0.69  thf(func_def_227, type, sK145: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2 > proces554692349s_term @ X0 @ X1))).
% 2.54/0.69  thf(func_def_228, type, sK146: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X2 > proces554692349s_term @ X0 @ X1) @ proces554692349s_term @ X3 @ X2 > X2))).
% 2.54/0.69  thf(func_def_229, type, sK147: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 2.54/0.69  thf(func_def_230, type, sK148: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_231, type, sK149: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_232, type, sK150: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_233, type, sK151: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_234, type, sK152: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_235, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > X1))).
% 2.54/0.69  thf(func_def_236, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_237, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X1 @ X0 > X1 > (X0 > proces554692349s_term @ X1 @ X2) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_238, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType]:((proces554692349s_term @ X0 @ X1 > X0 > (X1 > proces554692349s_term @ X0 @ X2) > X1))).
% 2.54/0.69  thf(func_def_239, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > proces554692349s_term @ X2 @ X1 > (X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_240, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > proces554692349s_term @ X2 @ X1 > (X1 > proces554692349s_term @ X2 @ X0) > proces554692349s_term @ X2 @ X1))).
% 2.54/0.69  thf(func_def_241, type, sK159: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X1))).
% 2.54/0.69  thf(func_def_242, type, sK160: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_243, type, sK161: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_244, type, sK162: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 2.54/0.69  thf(func_def_245, type, sK163: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_246, type, sK164: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_247, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > X1))).
% 2.54/0.69  thf(func_def_248, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_249, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X1 @ X0 > $o > (X0 > proces554692349s_term @ X3 @ X2) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_250, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X0 @ X1 > $o > (X1 > proces554692349s_term @ X3 @ X2) > X1))).
% 2.54/0.69  thf(func_def_251, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(($o > proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_252, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(($o > proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_253, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 2.54/0.69  thf(func_def_254, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > X3))).
% 2.54/0.69  thf(func_def_255, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_256, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces634752977rocess @ X3))).
% 2.54/0.69  thf(func_def_257, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 2.54/0.69  thf(func_def_258, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_259, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_260, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > (X2 > proces554692349s_term @ X0 @ X1) > proces634752977rocess @ X3))).
% 2.54/0.69  thf(func_def_261, type, sK179: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.54/0.69  thf(func_def_262, type, sK180: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.54/0.69  thf(func_def_263, type, sK181: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_264, type, sK182: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_265, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 2.54/0.69  thf(func_def_266, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 2.54/0.69  thf(func_def_267, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 2.54/0.69  thf(func_def_268, type, sK186: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 2.54/0.69  thf(func_def_269, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 2.54/0.69  thf(func_def_270, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 2.54/0.69  thf(func_def_271, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 2.54/0.69  thf(func_def_272, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 2.54/0.69  thf(func_def_273, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 2.54/0.69  thf(func_def_274, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 2.54/0.69  thf(func_def_275, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 2.54/0.69  thf(func_def_276, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 2.54/0.69  thf(func_def_277, type, sK195: !>[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))).
% 2.54/0.69  thf(func_def_278, type, sK196: !>[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))).
% 2.54/0.69  thf(func_def_279, type, sK197: !>[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))).
% 2.54/0.69  thf(func_def_280, type, sK198: !>[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))).
% 2.54/0.69  thf(func_def_281, type, sK199: !>[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))).
% 2.54/0.69  thf(func_def_282, type, sK200: !>[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))).
% 2.54/0.69  thf(func_def_283, type, sK201: !>[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))).
% 2.54/0.69  thf(func_def_284, type, sK202: !>[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))).
% 2.54/0.69  thf(func_def_285, type, sK203: !>[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))).
% 2.54/0.69  thf(func_def_286, type, sK204: !>[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))).
% 2.54/0.69  thf(func_def_287, type, sK205: !>[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))).
% 2.54/0.69  thf(func_def_288, type, sK206: !>[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))).
% 2.54/0.69  thf(func_def_289, type, sK207: !>[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))).
% 2.54/0.69  thf(func_def_290, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 2.54/0.69  thf(func_def_291, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_292, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_293, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 2.54/0.69  thf(func_def_294, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 2.54/0.69  thf(func_def_295, type, sK213: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_296, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_297, type, sK215: !>[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))).
% 2.54/0.69  thf(func_def_298, type, sK216: !>[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))).
% 2.54/0.69  thf(func_def_299, type, sK217: !>[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))).
% 2.54/0.69  thf(func_def_300, type, sK218: !>[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))).
% 2.54/0.69  thf(func_def_301, type, sK219: !>[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))).
% 2.54/0.69  thf(func_def_302, type, sK220: !>[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))).
% 2.54/0.69  thf(func_def_303, type, sK221: !>[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))).
% 2.54/0.69  thf(func_def_304, type, sK222: !>[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))).
% 2.54/0.69  thf(func_def_305, type, sK223: !>[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))).
% 2.54/0.69  thf(func_def_306, type, sK224: !>[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))).
% 2.54/0.69  thf(func_def_307, type, sK225: !>[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))).
% 2.54/0.69  thf(func_def_308, type, sK226: !>[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))).
% 2.54/0.69  thf(func_def_309, type, sK227: !>[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))).
% 2.54/0.69  thf(func_def_310, type, sK228: !>[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))).
% 2.54/0.69  thf(func_def_311, type, sK229: !>[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))).
% 2.54/0.69  thf(func_def_312, type, sK230: !>[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))).
% 2.54/0.69  thf(func_def_313, type, sK231: !>[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))).
% 2.54/0.69  thf(func_def_314, type, sK232: !>[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))).
% 2.54/0.69  thf(func_def_315, type, sK233: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.54/0.69  thf(func_def_316, type, sK234: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.54/0.69  thf(func_def_317, type, sK235: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_318, type, sK236: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_319, type, sK237: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 2.54/0.69  thf(func_def_320, type, sK238: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_321, type, sK239: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_322, type, sK240: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_323, type, sK241: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_324, type, sK242: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_325, type, sK243: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 2.54/0.69  thf(func_def_326, type, sK244: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 2.54/0.69  thf(func_def_327, type, sK245: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_328, type, sK246: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_329, type, sK247: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_330, type, sK248: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_331, type, sK249: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_332, type, sK250: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_333, type, sK251: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_334, type, sK252: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 2.54/0.69  thf(func_def_335, type, sK253: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X1))).
% 2.54/0.69  thf(func_def_336, type, sK254: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_337, type, sK255: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_338, type, sK256: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_339, type, sK257: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_340, type, sK258: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 2.54/0.69  thf(func_def_341, type, sK259: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X1))).
% 2.54/0.69  thf(func_def_342, type, sK260: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_343, type, sK261: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_344, type, sK262: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_345, type, sK263: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_346, type, sK264: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_347, type, sK265: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_348, type, sK266: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_349, type, sK267: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_350, type, sK268: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_351, type, sK269: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_352, type, sK270: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_353, type, sK271: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_354, type, sK272: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_355, type, sK273: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_356, type, sK274: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_357, type, sK275: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_358, type, sK276: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_359, type, sK277: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_360, type, sK278: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_361, type, sK279: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_362, type, sK280: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_363, type, sK281: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_364, type, sK282: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_365, type, sK283: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_366, type, sK284: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_367, type, sK285: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 2.54/0.69  thf(func_def_368, type, sK286: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_369, type, sK287: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_370, type, sK288: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_371, type, sK289: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_372, type, sK290: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_373, type, sK291: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_374, type, sK292: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_375, type, sK293: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_376, type, sK294: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_377, type, sK295: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X1 > X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_378, type, sK296: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_379, type, sK297: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_380, type, sK298: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_381, type, sK299: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > proces634752977rocess @ X0 > (X0 > X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_382, type, sK300: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_383, type, sK301: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_384, type, sK302: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_385, type, sK303: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_386, type, sK304: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > X3))).
% 2.54/0.69  thf(func_def_387, type, sK305: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.54/0.69  thf(func_def_388, type, sK306: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_389, type, sK307: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1 > $o) > (proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_390, type, sK308: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X0 > X3 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_391, type, sK309: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X0 > X3 > $o) > proces634752977rocess @ X3))).
% 2.54/0.69  thf(func_def_392, type, sK310: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X1 > X2 > $o) > X1))).
% 2.54/0.69  thf(func_def_393, type, sK311: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X3 @ X2 > $o) > (X1 > X2 > $o) > X2))).
% 2.54/0.69  thf(func_def_394, type, sK312: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X1 > X0 > $o) > X1))).
% 2.54/0.69  thf(func_def_395, type, sK313: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X1 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_396, type, sK314: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 2.54/0.69  thf(func_def_397, type, sK315: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 2.54/0.69  thf(func_def_398, type, sK316: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_399, type, sK317: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_400, type, sK318: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X3))).
% 2.54/0.69  thf(func_def_401, type, sK319: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 2.54/0.69  thf(func_def_402, type, sK320: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X2))).
% 2.54/0.69  thf(func_def_403, type, sK321: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 2.54/0.69  thf(func_def_404, type, sK322: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X0 @ X1 > (X0 > X3 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_405, type, sK323: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X0 @ X1 > (X0 > X3 > $o) > proces634752977rocess @ X3))).
% 2.54/0.69  thf(func_def_406, type, sK324: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_407, type, sK325: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_408, type, sK326: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_409, type, sK327: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_410, type, sK328: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > X1))).
% 2.54/0.69  thf(func_def_411, type, sK329: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.54/0.69  thf(func_def_412, type, sK330: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_413, type, sK331: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_414, type, sK332: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_415, type, sK333: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_416, type, sK334: !>[X0: $tType]:((X0 > (X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_417, type, sK335: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_418, type, sK336: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.54/0.69  thf(func_def_419, type, sK337: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 2.54/0.69  thf(func_def_420, type, sK338: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 2.54/0.69  thf(func_def_421, type, sK339: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 2.54/0.69  thf(func_def_422, type, sK340: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 2.54/0.69  thf(func_def_423, type, sK341: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 2.54/0.69  thf(func_def_424, type, sF342: proces554692349s_term @ a @ b).
% 2.54/0.69  thf(func_def_425, type, sF343: proces634752977rocess @ a).
% 2.54/0.69  thf(func_def_426, type, sK344: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_427, type, sK345: !>[X0: $tType, X1: $tType]:(((X1 > X0) > proces634752977rocess @ X1 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_428, type, sK346: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_429, type, sK347: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_430, type, sK348: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 2.54/0.69  thf(func_def_431, type, sK349: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 2.54/0.69  thf(func_def_432, type, sK350: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1 > set @ product_prod @ X1 @ X1 > X1))).
% 2.54/0.69  thf(func_def_433, type, sK351: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ product_prod @ X1 @ X1 > X1 > (X1 > X0) > X1))).
% 2.54/0.69  thf(func_def_434, type, sK352: !>[X0: $tType, X1: $tType]:(((X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > X0) > (X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > $o) > (X1 > X1) > X1 > (X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_435, type, sK353: !>[X0: $tType, X1: $tType]:(((X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > X0) > (X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > $o) > (X1 > X1) > X1 > (X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_436, type, sK354: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > $o) > (X1 > X1) > (X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > X0) > (X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_437, type, sK355: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > $o) > (X1 > X1) > (X1 > X1) > (X1 > proces634752977rocess @ X0) > (X1 > proces634752977rocess @ X0) > (X1 > $o) > (X1 > X0) > (X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_438, type, sK356: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_439, type, sK357: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_440, type, sK358: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_441, type, sK359: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_442, type, sK360: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_443, type, sK361: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_444, type, sK362: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_445, type, sK363: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_446, type, sK364: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_447, type, sK365: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_448, type, sK366: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_449, type, sK367: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_450, type, sK368: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_451, type, sK369: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_452, type, sK370: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_453, type, sK371: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_454, type, sK372: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_455, type, sK373: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_456, type, sK374: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_457, type, sK375: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_458, type, sK376: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_459, type, sK377: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_460, type, sK378: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_461, type, sK379: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_462, type, sK380: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_463, type, sK381: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_464, type, sK382: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_465, type, sK383: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_466, type, sK384: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_467, type, sK385: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_468, type, sK386: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_469, type, sK387: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_470, type, sK388: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_471, type, sK389: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_472, type, sK390: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_473, type, sK391: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_474, type, sK392: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_475, type, sK393: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_476, type, sK394: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_477, type, sK395: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_478, type, sK396: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_479, type, sK397: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_480, type, sK398: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_481, type, sK399: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_482, type, sK400: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_483, type, sK401: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_484, type, sK402: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_485, type, sK403: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_486, type, sK404: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_487, type, sK405: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_488, type, sK406: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_489, type, sK407: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_490, type, sK408: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_491, type, sK409: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_492, type, sK410: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_493, type, sK411: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_494, type, sK412: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_495, type, sK413: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_496, type, sK414: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_497, type, sK415: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_498, type, sK416: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_499, type, sK417: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_500, type, sK418: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_501, type, sK419: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_502, type, sK420: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_503, type, sK421: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_504, type, sK422: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_505, type, sK423: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_506, type, sK424: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_507, type, sK425: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_508, type, sK426: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_509, type, sK427: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_510, type, sK428: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_511, type, sK429: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_512, type, sK430: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_513, type, sK431: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_514, type, sK432: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_515, type, sK433: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_516, type, sK434: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_517, type, sK435: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.54/0.69  thf(func_def_518, type, sK436: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_519, type, sK437: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_520, type, sK438: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_521, type, sK439: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_522, type, sK440: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_523, type, sK441: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_524, type, sK442: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_525, type, sK443: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_526, type, sK444: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_527, type, sK445: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_528, type, sK446: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_529, type, sK447: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_530, type, sK448: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_531, type, sK449: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_532, type, sK450: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_533, type, sK451: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.54/0.69  thf(func_def_534, type, sK452: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 2.54/0.69  thf(func_def_535, type, sK453: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 2.54/0.69  thf(func_def_536, type, sK454: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 2.54/0.69  thf(func_def_537, type, sK455: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 2.54/0.69  thf(func_def_538, type, sK456: !>[X0: $tType, X1: $tType]:(((X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 2.54/0.69  thf(func_def_539, type, sK457: !>[X0: $tType, X1: $tType]:(((X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 2.54/0.69  thf(f3,axiom,(
% 2.54/0.69    (((proces1525233512Action @ a @ a2 @ p2)) = ((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))))),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Action)).
% 2.54/0.69  thf(f5,axiom,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ (proces1708129104e_PREF @ b @ a @ b @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa))) @ (proces1652378886lution @ b @ a @ sys @ (proces126235999e_CONT @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))))))),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062solution_Asys_A_IPROC_A_IAction_Aa_Ap_J_J_A_061_AAction_A_IPREF_Asys_A_IPROC_A_IAction_Aa_Ap_J_J_J_A_Isolution_Asys_A_ICONT_Asys_A_IPROC_A_IAction_Aa_Ap_J_J_J_J_092_060close_062)).
% 2.54/0.69  thf(f14,axiom,(
% 2.54/0.69    ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > proces554692349s_term @ X2 @ X1),X4 : proces634752977rocess @ X2] : (((proces1708129104e_PREF @ X0 @ X2 @ X1 @ X3 @ (proces1062592052s_PROC @ X2 @ X0 @ X4))) = ((proces745025900prefOf @ X2 @ X4)))),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_PREF_Osimps_I2_J)).
% 2.54/0.69  thf(f28,axiom,(
% 2.54/0.69    ! [X0 : $tType,X1 : X0,X2 : proces634752977rocess @ X0] : (((proces745025900prefOf @ X0 @ (proces1525233512Action @ X0 @ X1 @ X2))) = X1)),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_process_Osel_I1_J)).
% 2.54/0.69  thf(f72,axiom,(
% 2.54/0.69    ! [X0 : $tType,X1 : X0,X2 : proces634752977rocess @ X0] : (((proces1778668539contOf @ X0 @ (proces1525233512Action @ X0 @ X1 @ X2))) = X2)),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_process_Osel_I2_J)).
% 2.54/0.69  thf(f77,axiom,(
% 2.54/0.69    ! [X0 : $tType,X1 : $tType,X2 : (X0 > proces554692349s_term @ X1 @ X0),X3 : proces634752977rocess @ X1] : (((proces126235999e_CONT @ X0 @ X1 @ X2 @ (proces1062592052s_PROC @ X1 @ X0 @ X3))) = ((proces1062592052s_PROC @ X1 @ X0 @ (proces1778668539contOf @ X1 @ X3))))),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_CONT_Osimps_I2_J)).
% 2.54/0.69  thf(f259,conjecture,(
% 2.54/0.69    (p2 = ((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa)))) & (a3 = a2)),
% 2.54/0.69    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.54/0.69  thf(f260,negated_conjecture,(
% 2.54/0.69    ~((p2 = ((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa)))) & (a3 = a2))),
% 2.54/0.69    inference(negated_conjecture,[status(cth)],[f259])).
% 2.54/0.69  thf(f853,plain,(
% 2.54/0.69    (p2 != ((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa)))) | (a2 != a3)),
% 2.54/0.69    inference(ennf_transformation,[],[f260])).
% 2.54/0.69  thf(f1100,plain,(
% 2.54/0.69    (((proces1525233512Action @ a @ a2 @ p2)) = ((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))))),
% 2.54/0.69    inference(cnf_transformation,[],[f3])).
% 2.54/0.69  thf(f1102,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ (proces1708129104e_PREF @ b @ a @ b @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa))) @ (proces1652378886lution @ b @ a @ sys @ (proces126235999e_CONT @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))))))),
% 2.54/0.69    inference(cnf_transformation,[],[f5])).
% 2.54/0.69  thf(f1111,plain,(
% 2.54/0.69    ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > proces554692349s_term @ X2 @ X1),X4 : proces634752977rocess @ X2] : ((((proces1708129104e_PREF @ X0 @ X2 @ X1 @ X3 @ (proces1062592052s_PROC @ X2 @ X0 @ X4))) = ((proces745025900prefOf @ X2 @ X4)))) )),
% 2.54/0.69    inference(cnf_transformation,[],[f14])).
% 2.54/0.69  thf(f1125,plain,(
% 2.54/0.69    ( ! [X0 : $tType,X2 : proces634752977rocess @ X0,X1 : X0] : ((((proces745025900prefOf @ X0 @ (proces1525233512Action @ X0 @ X1 @ X2))) = X1)) )),
% 2.54/0.69    inference(cnf_transformation,[],[f28])).
% 2.54/0.69  thf(f1198,plain,(
% 2.54/0.69    ( ! [X0 : $tType,X2 : proces634752977rocess @ X0,X1 : X0] : ((((proces1778668539contOf @ X0 @ (proces1525233512Action @ X0 @ X1 @ X2))) = X2)) )),
% 2.54/0.69    inference(cnf_transformation,[],[f72])).
% 2.54/0.69  thf(f1203,plain,(
% 2.54/0.69    ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > proces554692349s_term @ X1 @ X0),X3 : proces634752977rocess @ X1] : ((((proces126235999e_CONT @ X0 @ X1 @ X2 @ (proces1062592052s_PROC @ X1 @ X0 @ X3))) = ((proces1062592052s_PROC @ X1 @ X0 @ (proces1778668539contOf @ X1 @ X3))))) )),
% 2.54/0.69    inference(cnf_transformation,[],[f77])).
% 2.54/0.69  thf(f1583,plain,(
% 2.54/0.69    (p2 != ((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa)))) | (a2 != a3)),
% 2.54/0.69    inference(cnf_transformation,[],[f853])).
% 2.54/0.69  thf(f1714,definition,(
% 2.54/0.69    (sF342 = ((proces1062592052s_PROC @ a @ b @ pa)))),
% 2.54/0.69    introduced(definition,[new_symbols(definition,[sF342])],[function_definition])).
% 2.54/0.69  thf(f1715,plain,(
% 2.54/0.69    (((proces1062592052s_PROC @ a @ b @ pa)) = sF342)),
% 2.54/0.69    inference(reorient_equations,[],[f1714])).
% 2.54/0.69  thf(f1716,definition,(
% 2.54/0.69    (sF343 = ((proces1652378886lution @ b @ a @ sys @ sF342)))),
% 2.54/0.69    introduced(definition,[new_symbols(definition,[sF343])],[function_definition])).
% 2.54/0.69  thf(f1717,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ sF342)) = sF343)),
% 2.54/0.69    inference(reorient_equations,[],[f1716])).
% 2.54/0.69  thf(f1718,plain,(
% 2.54/0.69    (p2 != sF343) | (a2 != a3)),
% 2.54/0.69    inference(definition_folding,[],[f1583,f1717,f1715])).
% 2.54/0.69  thf(f2584,definition,(
% 2.54/0.69    spl458_1 <=> (a2 = a3)),
% 2.54/0.69    introduced(definition,[new_symbols(definition,[spl458_1])],[avatar_definition])).
% 2.54/0.69  thf(f2586,plain,(
% 2.54/0.69    (a2 != a3) | spl458_1),
% 2.54/0.69    inference(avatar_component_clause,[],[f2584])).
% 2.54/0.69  thf(f2588,definition,(
% 2.54/0.69    spl458_2 <=> (p2 = sF343)),
% 2.54/0.69    introduced(definition,[new_symbols(definition,[spl458_2])],[avatar_definition])).
% 2.54/0.69  thf(f2591,plain,(
% 2.54/0.69    ~spl458_1 | ~spl458_2),
% 2.54/0.69    inference(avatar_split_clause,[],[f1718,f2588,f2584])).
% 2.54/0.69  thf(f2601,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ (proces745025900prefOf @ a @ (proces1525233512Action @ a @ a3 @ pa)) @ (proces1652378886lution @ b @ a @ sys @ (proces126235999e_CONT @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))))))),
% 2.54/0.69    inference(forward_demodulation,[],[f1102,f1111])).
% 2.54/0.69  thf(f2610,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ a3 @ (proces1652378886lution @ b @ a @ sys @ (proces126235999e_CONT @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))))))),
% 2.54/0.69    inference(forward_demodulation,[],[f2601,f1125])).
% 2.54/0.69  thf(f2612,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ a3 @ (proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1778668539contOf @ a @ (proces1525233512Action @ a @ a3 @ pa)))))))),
% 2.54/0.69    inference(forward_demodulation,[],[f2610,f1203])).
% 2.54/0.69  thf(f2613,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ a3 @ (proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa)))))),
% 2.54/0.69    inference(forward_demodulation,[],[f2612,f1198])).
% 2.54/0.69  thf(f2614,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ a3 @ (proces1652378886lution @ b @ a @ sys @ sF342))))),
% 2.54/0.69    inference(forward_demodulation,[],[f2613,f1715])).
% 2.54/0.69  thf(f2615,plain,(
% 2.54/0.69    (((proces1652378886lution @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ (proces1525233512Action @ a @ a3 @ pa)))) = ((proces1525233512Action @ a @ a3 @ sF343)))),
% 2.54/0.69    inference(forward_demodulation,[],[f2614,f1717])).
% 2.54/0.69  thf(f2616,plain,(
% 2.54/0.69    (((proces1525233512Action @ a @ a2 @ p2)) = ((proces1525233512Action @ a @ a3 @ sF343)))),
% 2.54/0.69    inference(forward_demodulation,[],[f2615,f1100])).
% 2.54/0.69  thf(f2707,plain,(
% 2.54/0.69    (sF343 = ((proces1778668539contOf @ a @ (proces1525233512Action @ a @ a2 @ p2))))),
% 2.54/0.69    inference(constrained_superposition,[],[f1198,f2616])).
% 2.54/0.69  thf(f2709,plain,(
% 2.54/0.69    (a3 = ((proces745025900prefOf @ a @ (proces1525233512Action @ a @ a2 @ p2))))),
% 2.54/0.69    inference(constrained_superposition,[],[f1125,f2616])).
% 2.54/0.69  thf(f2710,plain,(
% 2.54/0.69    (a2 = a3)),
% 2.54/0.69    inference(forward_demodulation,[],[f2709,f1125])).
% 2.54/0.69  thf(f2711,plain,(
% 2.54/0.69    (p2 = sF343)),
% 2.54/0.69    inference(forward_demodulation,[],[f2707,f1198])).
% 2.54/0.69  thf(f2712,plain,(
% 2.54/0.69    $false | spl458_1),
% 2.54/0.69    inference(forward_subsumption_resolution,[],[f2710,f2586])).
% 2.54/0.69  thf(f2713,plain,(
% 2.54/0.69    spl458_1),
% 2.54/0.69    inference(avatar_contradiction_clause,[],[f2712])).
% 2.54/0.69  thf(f2714,plain,(
% 2.54/0.69    spl458_2),
% 2.54/0.69    inference(avatar_split_clause,[],[f2711,f2588])).
% 2.54/0.69  cnf(s1, plain, ~spl458_1 | ~spl458_2, inference(sat_conversion,[],[f2591])).
% 2.54/0.69  cnf(s2, plain, spl458_1, inference(sat_conversion,[],[f2713])).
% 2.54/0.69  cnf(s3, plain, spl458_2, inference(sat_conversion,[],[f2714])).
% 2.54/0.69  cnf(s4, plain, $false, inference(rat,[],[s1,s3,s2])).
% 2.54/0.69  thf(f2715,plain,(
% 2.54/0.69    $false),
% 2.54/0.69    inference(avatar_sat_refutation,[],[s4])).
% 2.54/0.69  % SZS output end Proof for theBenchmark
% 2.54/0.69  % (3501812)------------------------------
% 2.54/0.69  % (3501812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69  % (3501812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69  % (3501812)CaDiCaL version: 2.1.3
% 2.54/0.69  % (3501812)Termination reason: Refutation
% 2.54/0.69  % (3501812)Time elapsed: 0.198 s
% 2.54/0.69  % (3501812)Peak memory usage: 18 MB
% 2.54/0.69  % (3501812)Instructions burned: 437 (million)
% 2.54/0.69  % (3501781)Success in time 0.454 s
% 2.54/0.69  % Vampire exiting
%------------------------------------------------------------------------------