%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM161^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:28 AM UTC 2026
% Result : Theorem 1.74s 0.52s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM161^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:47:54 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/0.52 % (3494450)Will run a generic schedule for satisfiability detection.
% 1.74/0.52 % (3494459)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=149043086:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.74/0.52 % (3494456)% WARNING: option uhcvi not known.
% 1.74/0.52 % (3494458)dis+10_1_sil=32000:sp=arity:random_seed=148402110:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.74/0.52 % (3494455)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3683573521_2999 on theBenchmark for (2999ds/0Mi)
% 1.74/0.52 % (3494457)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2182063489:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.74/0.52 % (3494456)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3867073740:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.74/0.52 % (3494459)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.74/0.52 % (3494460)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=321882988:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.74/0.52 % (3494461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=971399361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.74/0.52 % (3494456)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.74/0.52 % (3494459)Instruction limit reached!
% 1.74/0.52 % (3494459)------------------------------
% 1.74/0.52 % (3494459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.52 % (3494459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.52 % (3494459)CaDiCaL version: 2.1.3
% 1.74/0.52 % (3494459)Termination reason: Instruction limit
% 1.74/0.52 % (3494459)Termination phase: Saturation
% 1.74/0.52 % (3494459)Time elapsed: 0.028 s
% 1.74/0.52 % (3494459)Peak memory usage: 12 MB
% 1.74/0.52 % (3494459)Instructions burned: 120 (million)
% 1.74/0.52 % (3494469)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=922722030:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.74/0.52 % Exception at run slice level
% 1.74/0.52 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.74/0.52 % (3494456)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.74/0.52 % (3494458)Instruction limit reached!
% 1.74/0.52 % (3494458)------------------------------
% 1.74/0.52 % (3494458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.52 % (3494458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.52 % (3494458)CaDiCaL version: 2.1.3
% 1.74/0.52 % (3494458)Termination reason: Instruction limit
% 1.74/0.52 % (3494458)Termination phase: Saturation
% 1.74/0.52 % (3494458)Time elapsed: 0.045 s
% 1.74/0.52 % (3494458)Peak memory usage: 12 MB
% 1.74/0.52 % (3494458)Instructions burned: 103 (million)
% 1.74/0.52 % Exception at run slice level
% 1.74/0.52 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.74/0.52 % (3494472)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=3342716927:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.74/0.52 % (3494471)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2995684880:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.74/0.52 % (3494473)ott-21_1_sil=16000:fs=off:random_seed=1498332491:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.74/0.52 % (3494460)Instruction limit reached!
% 1.74/0.52 % (3494460)------------------------------
% 1.74/0.52 % (3494460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.52 % (3494460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.52 % (3494460)CaDiCaL version: 2.1.3
% 1.74/0.52 % (3494460)Termination reason: Instruction limit
% 1.74/0.52 % (3494460)Termination phase: Saturation
% 1.74/0.52 % (3494460)Time elapsed: 0.058 s
% 1.74/0.52 % (3494460)Peak memory usage: 13 MB
% 1.74/0.52 % (3494460)Instructions burned: 132 (million)
% 1.74/0.52 % (3494477)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3713348999:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.74/0.52 % (3494472)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.74/0.52 % (3494473)Instruction limit reached!
% 1.74/0.52 % (3494473)------------------------------
% 1.74/0.52 % (3494473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.52 % (3494473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.52 % (3494473)CaDiCaL version: 2.1.3
% 1.74/0.52 % (3494473)Termination reason: Instruction limit
% 1.74/0.52 % (3494473)Termination phase: Saturation
% 1.74/0.52 % (3494473)Time elapsed: 0.042 s
% 1.74/0.52 % (3494473)Peak memory usage: 13 MB
% 1.74/0.52 % (3494473)Instructions burned: 182 (million)
% 1.74/0.52 % (3494461)Instruction limit reached!
% 1.74/0.52 % (3494461)------------------------------
% 1.74/0.52 % (3494461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.52 % (3494461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.52 % (3494461)CaDiCaL version: 2.1.3
% 1.74/0.52 % (3494461)Termination reason: Instruction limit
% 1.74/0.52 % (3494461)Termination phase: Saturation
% 1.74/0.52 % (3494461)Time elapsed: 0.099 s
% 1.74/0.52 % (3494461)Peak memory usage: 13 MB
% 1.74/0.52 % (3494461)Instructions burned: 160 (million)
% 1.74/0.52 % (3494472)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.74/0.52 % (3494479)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=674899351:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.74/0.52 % (3494471)Instruction limit reached!
% 1.74/0.52 % (3494471)------------------------------
% 1.74/0.52 % (3494471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.52 % (3494471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.52 % (3494471)CaDiCaL version: 2.1.3
% 1.74/0.52 % (3494471)Termination reason: Instruction limit
% 1.74/0.52 % (3494471)Termination phase: Saturation
% 1.74/0.52 % (3494471)Time elapsed: 0.059 s
% 1.74/0.52 % (3494471)Peak memory usage: 13 MB
% 1.74/0.52 % (3494471)Instructions burned: 133 (million)
% 1.74/0.52 % (3494480)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1047566281:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.74/0.52 % Exception at run slice level
% 1.74/0.52 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.74/0.52 % (3494482)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1009110118:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.74/0.52 % (3494484)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=356944687:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.74/0.52 % (3494484)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.74/0.52 % Exception at run slice level
% 1.74/0.52 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.74/0.52 % (3494487)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=954064548:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.74/0.52 % (3494487)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.74/0.52 % (3494456) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3494450-3494456"...
% 1.74/0.52 % (3494456)...printing done.
% 1.74/0.52 % (3494456)Refutation found. Thanks to Tanya!
% 1.74/0.52 % SZS status Theorem for theBenchmark
% 1.74/0.52 % SZS output start Proof for theBenchmark
% 1.74/0.52 thf(type_def_5, type, abstra2103299360e_tree: $tType > $tType).
% 1.74/0.52 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 1.74/0.52 thf(type_def_7, type, stream: $tType > $tType).
% 1.74/0.52 thf(type_def_8, type, fset: $tType > $tType).
% 1.74/0.52 thf(type_def_9, type, set: $tType > $tType).
% 1.74/0.52 thf(type_def_10, type, nat: $tType).
% 1.74/0.52 thf(type_def_11, type, state: $tType).
% 1.74/0.52 thf(type_def_12, type, itself: $tType > $tType).
% 1.74/0.52 thf(type_def_13, type, rule: $tType).
% 1.74/0.52 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 1.74/0.52 thf(func_def_0, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_2, type, minus: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_3, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_4, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_5, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_8, type, countable: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_9, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_10, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.74/0.52 thf(func_def_11, type, abstra612932245System: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > $o))).
% 1.74/0.52 thf(func_def_12, type, abstra1326562878System: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > $o))).
% 1.74/0.52 thf(func_def_13, type, abstra1332369113inWait: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > X1 > nat))).
% 1.74/0.52 thf(func_def_14, type, abstra2096684367le_per: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X0 > $o))).
% 1.74/0.52 thf(func_def_15, type, abstra2097340358le_pos: !>[X0: $tType]:((stream @ X0 > X0 > nat))).
% 1.74/0.53 thf(func_def_16, type, abstra1209608345urated: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > stream @ product_prod @ X1 @ X0 > $o))).
% 1.74/0.53 thf(func_def_17, type, abstra1874422341nabled: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > X0 > X1 > $o))).
% 1.74/0.53 thf(func_def_18, type, abstra523868654_epath: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > stream @ product_prod @ X1 @ X0 > $o))).
% 1.74/0.53 thf(func_def_19, type, abstra928354080m_fair: !>[X0: $tType]:((stream @ X0 > stream @ X0 > $o))).
% 1.74/0.53 thf(func_def_20, type, abstra1774373515_fenum: !>[X0: $tType]:((stream @ X0 > stream @ X0))).
% 1.74/0.53 thf(func_def_21, type, abstra1225283448mkTree: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > X1 > abstra2103299360e_tree @ product_prod @ X1 @ X0))).
% 1.74/0.53 thf(func_def_22, type, abstra1276541928ickEff: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > X0 > X1 > fset @ X1))).
% 1.74/0.53 thf(func_def_23, type, abstra726722745urated: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > X0 > stream @ product_prod @ X1 @ X0 > $o))).
% 1.74/0.53 thf(func_def_24, type, abstra1259602206m_trim: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > X1 > stream @ X0))).
% 1.74/0.53 thf(func_def_25, type, abstra1874736267tem_wf: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > abstra2103299360e_tree @ product_prod @ X1 @ X0 > $o))).
% 1.74/0.53 thf(func_def_26, type, abstra313004635_ipath: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > stream @ X0 > $o))).
% 1.74/0.53 thf(func_def_27, type, abstra1749095923e_cont: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > fset @ abstra2103299360e_tree @ X0))).
% 1.74/0.53 thf(func_def_28, type, countable_countable: !>[X0: $tType]:((set @ X0 > $o))).
% 1.74/0.53 thf(func_def_29, type, fimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > fset @ X0 > fset @ X1))).
% 1.74/0.53 thf(func_def_30, type, fmember: !>[X0: $tType]:((X0 > fset @ X0 > $o))).
% 1.74/0.53 thf(func_def_31, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.74/0.53 thf(func_def_32, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.74/0.53 thf(func_def_33, type, suc: (nat > nat)).
% 1.74/0.53 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_35, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.74/0.53 thf(func_def_36, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.74/0.53 thf(func_def_37, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.74/0.53 thf(func_def_38, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.74/0.53 thf(func_def_39, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.74/0.53 thf(func_def_40, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 1.74/0.53 thf(func_def_41, type, sdrop: !>[X0: $tType]:((nat > stream @ X0 > stream @ X0))).
% 1.74/0.53 thf(func_def_42, type, shd: !>[X0: $tType]:((stream @ X0 > X0))).
% 1.74/0.53 thf(func_def_43, type, sset: !>[X0: $tType]:((stream @ X0 > set @ X0))).
% 1.74/0.53 thf(func_def_44, type, stl: !>[X0: $tType]:((stream @ X0 > stream @ X0))).
% 1.74/0.53 thf(func_def_45, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.74/0.53 thf(func_def_46, type, s: set @ state).
% 1.74/0.53 thf(func_def_47, type, eff: (rule > state > fset @ state > $o)).
% 1.74/0.53 thf(func_def_48, type, rs: stream @ rule).
% 1.74/0.53 thf(func_def_49, type, rules: stream @ rule).
% 1.74/0.53 thf(func_def_50, type, s2: state).
% 1.74/0.53 thf(func_def_51, type, steps: stream @ product_prod @ state @ rule).
% 1.74/0.53 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.74/0.53 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 1.74/0.53 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_58, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.74/0.53 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_61, type, db1: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.74/0.53 thf(func_def_63, type, vAND: ($o > $o > $o)).
% 1.74/0.53 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_65, type, db4: !>[X0: $tType]:(X0)).
% 1.74/0.53 thf(func_def_66, type, vNOT: ($o > $o)).
% 1.74/0.53 thf(func_def_67, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.74/0.53 thf(func_def_68, type, vOR: ($o > $o > $o)).
% 1.74/0.53 thf(func_def_69, type, sP0: !>[X0: $tType, X1: $tType]:((stream @ X1 > (X1 > X0 > fset @ X0 > $o) > set @ X0 > $o))).
% 1.74/0.53 thf(func_def_70, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.74/0.53 thf(func_def_71, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.74/0.53 thf(func_def_72, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.74/0.53 thf(func_def_73, type, sK4: (state > rule)).
% 1.74/0.53 thf(func_def_74, type, sK5: (state > fset @ state)).
% 1.74/0.53 thf(func_def_75, type, sK6: !>[X0: $tType, X1: $tType]:((stream @ X1 > (X1 > X0 > fset @ X0 > $o) > set @ X0 > X0))).
% 1.74/0.53 thf(func_def_76, type, sK7: !>[X0: $tType, X1: $tType]:((stream @ X1 > (X1 > X0 > fset @ X0 > $o) > set @ X0 > X1))).
% 1.74/0.53 thf(func_def_77, type, sK8: !>[X0: $tType, X1: $tType]:((stream @ X1 > (X1 > X0 > fset @ X0 > $o) > set @ X0 > fset @ X0))).
% 1.74/0.53 thf(func_def_78, type, sK9: !>[X0: $tType, X1: $tType]:((stream @ X1 > (X1 > X0 > fset @ X0 > $o) > set @ X0 > X0))).
% 1.74/0.53 thf(func_def_79, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X1))).
% 1.74/0.53 thf(func_def_80, type, sK11: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_81, type, sK12: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_82, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_83, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_84, type, sK15: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.74/0.53 thf(func_def_85, type, sK16: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.74/0.53 thf(func_def_86, type, sK17: !>[X0: $tType, X1: $tType]:((nat > stream @ product_prod @ X1 @ X0 > stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > nat))).
% 1.74/0.53 thf(func_def_87, type, sK18: !>[X0: $tType, X1: $tType]:((nat > stream @ product_prod @ X1 @ X0 > stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_88, type, sK19: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_89, type, sK20: (nat > stream @ product_prod @ state @ rule > stream @ rule > nat)).
% 1.74/0.53 thf(func_def_90, type, sK21: (nat > stream @ product_prod @ state @ rule > stream @ rule > state)).
% 1.74/0.53 thf(func_def_91, type, sK22: (stream @ rule > state > nat)).
% 1.74/0.53 thf(func_def_92, type, sK23: !>[X0: $tType, X1: $tType]:((stream @ X0 > X1 > (X0 > X1 > fset @ X1 > $o) > nat))).
% 1.74/0.53 thf(func_def_93, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_94, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_95, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_96, type, sK27: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_97, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_98, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_99, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_100, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_101, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_102, type, sK33: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_103, type, sK34: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_104, type, sK35: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_105, type, sK36: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_106, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > fset @ X1 > X1 > X0))).
% 1.74/0.53 thf(func_def_107, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > fset @ X1 > X1))).
% 1.74/0.53 thf(func_def_108, type, sK39: !>[X0: $tType]:((fset @ X0 > fset @ X0 > X0))).
% 1.74/0.53 thf(func_def_109, type, sK40: !>[X0: $tType]:((fset @ X0 > X0))).
% 1.74/0.53 thf(func_def_110, type, sK41: (abstra2103299360e_tree @ product_prod @ state @ rule > stream @ rule > state > fset @ state)).
% 1.74/0.53 thf(func_def_111, type, sK42: (abstra2103299360e_tree @ product_prod @ state @ rule > stream @ rule > state > state)).
% 1.74/0.53 thf(func_def_112, type, sK43: !>[X0: $tType]:((fset @ X0 > fset @ X0 > X0))).
% 1.74/0.53 thf(func_def_113, type, sK44: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_114, type, sK45: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_115, type, sK46: !>[X0: $tType, X1: $tType]:((abstra2103299360e_tree @ product_prod @ X1 @ X0 > stream @ X0 > X1 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_116, type, sK47: !>[X0: $tType, X1: $tType]:((abstra2103299360e_tree @ product_prod @ X1 @ X0 > stream @ X0 > X1 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_117, type, sK48: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_118, type, sK49: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 1.74/0.53 thf(func_def_119, type, sK50: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_120, type, sK51: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 1.74/0.53 thf(func_def_121, type, sK52: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.74/0.53 thf(func_def_122, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_123, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_124, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_125, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_126, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_127, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.74/0.53 thf(func_def_128, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_129, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.74/0.53 thf(func_def_130, type, sK61: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.74/0.53 thf(func_def_131, type, sK62: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.74/0.53 thf(func_def_132, type, sK63: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.74/0.53 thf(func_def_133, type, sK64: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.74/0.53 thf(func_def_134, type, sK65: rule).
% 1.74/0.53 thf(func_def_135, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > fset @ X1 > fset @ X0 > fset @ X1))).
% 1.74/0.53 thf(func_def_136, type, sK67: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_137, type, sK68: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_138, type, sK69: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_139, type, sK70: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_140, type, sK71: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_141, type, sK72: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_142, type, sK73: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_143, type, sK74: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_144, type, sK75: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_145, type, sK76: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_146, type, sK77: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_147, type, sK78: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_148, type, sK79: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_149, type, sK80: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_150, type, sK81: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_151, type, sK82: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_152, type, sK83: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_153, type, sK84: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_154, type, sK85: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_155, type, sK86: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_156, type, sK87: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_157, type, sK88: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_158, type, sK89: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_159, type, sK90: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_160, type, sK91: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_161, type, sK92: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_162, type, sK93: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_163, type, sK94: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_164, type, sK95: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_165, type, sK96: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_166, type, sK97: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_167, type, sK98: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_168, type, sK99: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_169, type, sK100: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_170, type, sK101: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_171, type, sK102: !>[X0: $tType]:((X0 > X0))).
% 1.74/0.53 thf(func_def_172, type, sK103: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_173, type, sK104: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_174, type, sK105: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_175, type, sK106: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_176, type, sK107: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_177, type, sK108: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_178, type, sK109: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_179, type, sK110: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_180, type, sK111: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_181, type, sK112: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_182, type, sK113: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_183, type, sK114: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_184, type, sK115: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_185, type, sK116: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_186, type, sK117: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_187, type, sK118: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_188, type, sK119: !>[X0: $tType]:((fset @ X0 > X0))).
% 1.74/0.53 thf(func_def_189, type, sK120: !>[X0: $tType, X1: $tType]:((set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_190, type, sK121: !>[X0: $tType, X1: $tType]:((set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_191, type, sK122: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X0))).
% 1.74/0.53 thf(func_def_192, type, sK123: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > fset @ X1))).
% 1.74/0.53 thf(func_def_193, type, sK124: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X1))).
% 1.74/0.53 thf(func_def_194, type, sK125: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X0))).
% 1.74/0.53 thf(func_def_195, type, sK126: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > fset @ X1))).
% 1.74/0.53 thf(func_def_196, type, sK127: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X1))).
% 1.74/0.53 thf(func_def_197, type, sK128: !>[X0: $tType]:((fset @ X0 > X0))).
% 1.74/0.53 thf(func_def_198, type, sK129: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_199, type, sK130: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_200, type, sK131: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_201, type, sK132: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_202, type, sK133: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_203, type, sK134: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_204, type, sK135: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_205, type, sK136: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_206, type, sK137: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_207, type, sK138: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_208, type, sK139: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_209, type, sK140: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_210, type, sK141: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_211, type, sK142: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_212, type, sK143: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_213, type, sK144: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_214, type, sK145: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_215, type, sK146: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_216, type, sK147: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_217, type, sK148: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_218, type, sK149: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_219, type, sK150: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_220, type, sK151: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_221, type, sK152: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_222, type, sK153: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_223, type, sK154: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_224, type, sK155: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_225, type, sK156: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_226, type, sK157: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_227, type, sK158: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_228, type, sK159: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_229, type, sK160: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_230, type, sK161: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_231, type, sK162: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_232, type, sK163: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_233, type, sK164: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_234, type, sK165: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_235, type, sK166: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_236, type, sK167: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_237, type, sK168: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 1.74/0.53 thf(func_def_238, type, sK169: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 1.74/0.53 thf(func_def_239, type, sK170: !>[X0: $tType, X1: $tType]:((stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_240, type, sK171: (stream @ rule > state > fset @ state)).
% 1.74/0.53 thf(func_def_241, type, sK172: (stream @ rule > state > fset @ state)).
% 1.74/0.53 thf(func_def_242, type, sK173: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_243, type, sK174: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_244, type, sK175: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_245, type, sK176: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_246, type, sK177: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_247, type, sK178: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_248, type, sK179: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_249, type, sK180: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_250, type, sK181: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_251, type, sK182: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_252, type, sK183: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_253, type, sK184: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_254, type, sK185: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_255, type, sK186: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_256, type, sK187: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_257, type, sK188: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_258, type, sK189: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_259, type, sK190: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_260, type, sK191: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_261, type, sK192: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_262, type, sK193: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_263, type, sK194: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_264, type, sK195: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_265, type, sK196: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_266, type, sK197: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_267, type, sK198: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_268, type, sK199: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_269, type, sK200: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_270, type, sK201: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_271, type, sK202: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_272, type, sK203: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_273, type, sK204: !>[X0: $tType, X1: $tType]:((X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_274, type, sK205: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_275, type, sK206: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_276, type, sK207: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_277, type, sK208: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_278, type, sK209: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_279, type, sK210: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_280, type, sK211: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_281, type, sK212: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_282, type, sK213: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_283, type, sK214: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_284, type, sK215: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_285, type, sK216: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_286, type, sK217: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_287, type, sK218: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_288, type, sK219: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_289, type, sK220: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_290, type, sK221: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_291, type, sK222: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_292, type, sK223: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_293, type, sK224: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_294, type, sK225: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_295, type, sK226: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_296, type, sK227: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_297, type, sK228: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_298, type, sK229: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_299, type, sK230: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_300, type, sK231: !>[X0: $tType, X1: $tType]:((X0 > set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_301, type, sK232: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_302, type, sK233: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_303, type, sK234: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_304, type, sK235: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_305, type, sK236: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_306, type, sK237: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_307, type, sK238: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_308, type, sK239: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_309, type, sK240: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_310, type, sK241: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_311, type, sK242: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_312, type, sK243: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_313, type, sK244: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_314, type, sK245: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_315, type, sK246: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_316, type, sK247: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_317, type, sK248: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_318, type, sK249: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_319, type, sK250: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_320, type, sK251: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_321, type, sK252: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_322, type, sK253: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_323, type, sK254: !>[X0: $tType]:((X0 > set @ X0 > X0 > set @ X0 > set @ X0))).
% 1.74/0.53 thf(func_def_324, type, sK255: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_325, type, sK256: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.74/0.53 thf(func_def_326, type, sK257: !>[X0: $tType]:((set @ X0 > X0))).
% 1.74/0.53 thf(func_def_327, type, sK258: (state > rule > fset @ state)).
% 1.74/0.53 thf(func_def_328, type, sK259: (rule > state)).
% 1.74/0.53 thf(func_def_329, type, sK260: (rule > fset @ state)).
% 1.74/0.53 thf(func_def_330, type, sK261: (rule > rule)).
% 1.74/0.53 thf(func_def_331, type, sK262: (rule > state)).
% 1.74/0.53 thf(func_def_332, type, sK263: (rule > fset @ state)).
% 1.74/0.53 thf(func_def_333, type, sK264: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_334, type, sK265: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_335, type, sK266: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_336, type, sK267: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_337, type, sK268: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_338, type, sK269: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_339, type, sK270: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_340, type, sK271: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_341, type, sK272: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_342, type, sK273: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_343, type, sK274: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_344, type, sK275: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_345, type, sK276: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_346, type, sK277: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_347, type, sK278: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_348, type, sK279: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_349, type, sK280: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_350, type, sK281: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_351, type, sK282: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_352, type, sK283: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_353, type, sK284: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_354, type, sK285: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_355, type, sK286: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_356, type, sK287: !>[X0: $tType, X1: $tType]:((stream @ X0 > set @ X1 > (X0 > X1 > fset @ X1 > $o) > X1))).
% 1.74/0.53 thf(func_def_357, type, sK288: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1 > X0))).
% 1.74/0.53 thf(func_def_358, type, sK289: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X1 > fset @ X1))).
% 1.74/0.53 thf(func_def_359, type, sK290: !>[X0: $tType, X1: $tType]:((stream @ X0 > X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_360, type, sK291: !>[X0: $tType, X1: $tType]:((stream @ X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_361, type, sK292: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 1.74/0.53 thf(func_def_362, type, sK293: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 1.74/0.53 thf(func_def_363, type, sK294: (state > rule)).
% 1.74/0.53 thf(func_def_364, type, sK295: (state > fset @ state)).
% 1.74/0.53 thf(func_def_365, type, sK296: (state > rule > fset @ state)).
% 1.74/0.53 thf(func_def_366, type, sK297: (state > rule > fset @ state)).
% 1.74/0.53 thf(func_def_367, type, sK298: (stream @ product_prod @ state @ rule > rule)).
% 1.74/0.53 thf(func_def_368, type, sK299: (stream @ product_prod @ state @ rule > rule)).
% 1.74/0.53 thf(f1,axiom,(
% 1.74/0.53 ! [X4 : rule] : ((member @ rule @ X4 @ (sset @ rule @ rules)) => (abstra726722745urated @ rule @ state @ eff @ X4 @ steps))),
% 1.74/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062ra_O_Ara_A_092_060in_062_AR_A_092_060Longrightarrow_062_Asaturated_Ara_Asteps_092_060close_062)).
% 1.74/0.53 thf(f303,conjecture,(
% 1.74/0.53 ! [X0 : rule] : ((member @ rule @ X0 @ (sset @ rule @ rules)) => (abstra726722745urated @ rule @ state @ eff @ X0 @ steps))),
% 1.74/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.74/0.53 thf(f304,negated_conjecture,(
% 1.74/0.53 ~ ! [X0 : rule] : ((member @ rule @ X0 @ (sset @ rule @ rules)) => (abstra726722745urated @ rule @ state @ eff @ X0 @ steps))),
% 1.74/0.53 inference(negated_conjecture,[status(cth)],[f303])).
% 1.74/0.53 thf(f305,plain,(
% 1.74/0.53 ! [X0 : rule] : ((member @ rule @ X0 @ (sset @ rule @ rules)) => (abstra726722745urated @ rule @ state @ eff @ X0 @ steps))),
% 1.74/0.53 inference(rectify,[],[f1])).
% 1.74/0.53 thf(f306,plain,(
% 1.74/0.53 ! [X0 : rule] : ((((member @ rule @ X0 @ (sset @ rule @ rules))) = $true) => (((abstra726722745urated @ rule @ state @ eff @ X0 @ steps)) = $true))),
% 1.74/0.53 inference(fool_elimination,[],[f305])).
% 1.74/0.53 thf(f835,plain,(
% 1.74/0.53 ~ ! [X0 : rule] : ((member @ rule @ X0 @ (sset @ rule @ rules)) => (abstra726722745urated @ rule @ state @ eff @ X0 @ steps))),
% 1.74/0.53 inference(rectify,[],[f304])).
% 1.74/0.53 thf(f836,plain,(
% 1.74/0.53 ~ ! [X0 : rule] : ((((member @ rule @ X0 @ (sset @ rule @ rules))) = $true) => (((abstra726722745urated @ rule @ state @ eff @ X0 @ steps)) = $true))),
% 1.74/0.53 inference(fool_elimination,[],[f835])).
% 1.74/0.53 thf(f865,plain,(
% 1.74/0.53 ! [X0 : rule] : ((((abstra726722745urated @ rule @ state @ eff @ X0 @ steps)) = $true) | (((member @ rule @ X0 @ (sset @ rule @ rules))) != $true))),
% 1.74/0.53 inference(ennf_transformation,[],[f306])).
% 1.74/0.53 thf(f1140,plain,(
% 1.74/0.53 ? [X0 : rule] : ((((abstra726722745urated @ rule @ state @ eff @ X0 @ steps)) != $true) & (((member @ rule @ X0 @ (sset @ rule @ rules))) = $true))),
% 1.74/0.53 inference(ennf_transformation,[],[f836])).
% 1.74/0.53 thf(f1196,plain,(
% 1.74/0.53 ($true != ((abstra726722745urated @ rule @ state @ eff @ sK65 @ steps))) & ($true = ((member @ rule @ sK65 @ (sset @ rule @ rules))))),
% 1.74/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X0,sK65)],[f1140])).
% 1.74/0.53 thf(f1197,plain,(
% 1.74/0.53 ( ! [X0 : rule] : ((((member @ rule @ X0 @ (sset @ rule @ rules))) != $true) | (((abstra726722745urated @ rule @ state @ eff @ X0 @ steps)) = $true)) )),
% 1.74/0.53 inference(cnf_transformation,[],[f865])).
% 1.74/0.53 thf(f1561,plain,(
% 1.74/0.53 ($true = ((member @ rule @ sK65 @ (sset @ rule @ rules))))),
% 1.74/0.53 inference(cnf_transformation,[],[f1196])).
% 1.74/0.53 thf(f1562,plain,(
% 1.74/0.53 ($true != ((abstra726722745urated @ rule @ state @ eff @ sK65 @ steps)))),
% 1.74/0.53 inference(cnf_transformation,[],[f1196])).
% 1.74/0.53 thf(f4591,plain,(
% 1.74/0.53 ($true != $true) | ($true = ((abstra726722745urated @ rule @ state @ eff @ sK65 @ steps)))),
% 1.74/0.53 inference(constrained_superposition,[],[f1197,f1561])).
% 1.74/0.53 thf(f4592,plain,(
% 1.74/0.53 ($true = ((abstra726722745urated @ rule @ state @ eff @ sK65 @ steps)))),
% 1.74/0.53 inference(trivial_inequality_removal,[],[f4591])).
% 1.74/0.53 thf(f4598,plain,(
% 1.74/0.53 $false),
% 1.74/0.53 inference(forward_subsumption_resolution,[],[f4592,f1562])).
% 1.74/0.53 % SZS output end Proof for theBenchmark
% 1.74/0.53 % (3494456)------------------------------
% 1.74/0.53 % (3494456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.53 % (3494456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.53 % (3494456)CaDiCaL version: 2.1.3
% 1.74/0.53 % (3494456)Termination reason: Refutation
% 1.74/0.53 % (3494456)Time elapsed: 0.243 s
% 1.74/0.53 % (3494456)Peak memory usage: 15 MB
% 1.74/0.53 % (3494456)Instructions burned: 477 (million)
% 1.74/0.53 % (3494450)Success in time 0.304 s
% 1.74/0.53 % Vampire exiting
%------------------------------------------------------------------------------