%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP169^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:58 AM UTC 2026
% Result : Theorem 3.93s 0.91s
% Output : Refutation 3.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP169^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n014.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 20:05:00 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/0.91 % (3146522)Will run a generic schedule for satisfiability detection.
% 3.93/0.91 % (3146528)% WARNING: option uhcvi not known.
% 3.93/0.91 % (3146528)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3538421565:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.93/0.91 % (3146529)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3097512030:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.93/0.91 % (3146530)dis+10_1_sil=32000:sp=arity:random_seed=2949785337:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.93/0.91 % (3146533)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4097506219:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.93/0.91 % (3146532)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1793589459:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.93/0.91 % (3146531)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=91210084:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.93/0.91 % (3146527)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=48073050_2999 on theBenchmark for (2999ds/0Mi)
% 3.93/0.91 % (3146528)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/0.91 % (3146530)Instruction limit reached!
% 3.93/0.91 % (3146530)------------------------------
% 3.93/0.91 % (3146530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146530)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146530)Termination reason: Instruction limit
% 3.93/0.91 % (3146530)Termination phase: Property scanning
% 3.93/0.91 % (3146530)Time elapsed: 0.046 s
% 3.93/0.91 % (3146530)Peak memory usage: 11 MB
% 3.93/0.91 % (3146530)Instructions burned: 105 (million)
% 3.93/0.91 % (3146531)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % (3146528)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.93/0.91 % (3146541)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3069969936:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.93/0.91 % (3146531)Instruction limit reached!
% 3.93/0.91 % (3146531)------------------------------
% 3.93/0.91 % (3146531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146531)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146531)Termination reason: Instruction limit
% 3.93/0.91 % (3146531)Termination phase: Property scanning
% 3.93/0.91 % (3146531)Time elapsed: 0.070 s
% 3.93/0.91 % (3146531)Peak memory usage: 11 MB
% 3.93/0.91 % (3146531)Instructions burned: 117 (million)
% 3.93/0.91 % (3146542)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2086161550:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.93/0.91 % (3146533)Instruction limit reached!
% 3.93/0.91 % (3146533)------------------------------
% 3.93/0.91 % (3146533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146533)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146533)Termination reason: Instruction limit
% 3.93/0.91 % (3146533)Termination phase: Saturation
% 3.93/0.91 % (3146533)Time elapsed: 0.091 s
% 3.93/0.91 % (3146533)Peak memory usage: 13 MB
% 3.93/0.91 % (3146533)Instructions burned: 159 (million)
% 3.93/0.91 % (3146532)Instruction limit reached!
% 3.93/0.91 % (3146532)------------------------------
% 3.93/0.91 % (3146532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146532)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146532)Termination reason: Instruction limit
% 3.93/0.91 % (3146532)Termination phase: Saturation
% 3.93/0.91 % (3146532)Time elapsed: 0.103 s
% 3.93/0.91 % (3146532)Peak memory usage: 12 MB
% 3.93/0.91 % (3146532)Instructions burned: 132 (million)
% 3.93/0.91 % (3146545)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=1724209030:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.93/0.91 % (3146546)ott-21_1_sil=16000:fs=off:random_seed=3549476055:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.93/0.91 % (3146547)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1169357058:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.93/0.91 % (3146542)Instruction limit reached!
% 3.93/0.91 % (3146542)------------------------------
% 3.93/0.91 % (3146542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146542)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146542)Termination reason: Instruction limit
% 3.93/0.91 % (3146542)Termination phase: Property scanning
% 3.93/0.91 % (3146542)Time elapsed: 0.052 s
% 3.93/0.91 % (3146542)Peak memory usage: 11 MB
% 3.93/0.91 % (3146542)Instructions burned: 132 (million)
% 3.93/0.91 % (3146545)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % (3146552)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1379695883:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.93/0.91 % (3146545)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.93/0.91 % (3146551)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1767076255:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.93/0.91 % (3146546)Instruction limit reached!
% 3.93/0.91 % (3146546)------------------------------
% 3.93/0.91 % (3146546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146546)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146546)Termination reason: Instruction limit
% 3.93/0.91 % (3146546)Termination phase: Saturation
% 3.93/0.91 % (3146546)Time elapsed: 0.075 s
% 3.93/0.91 % (3146546)Peak memory usage: 13 MB
% 3.93/0.91 % (3146546)Instructions burned: 181 (million)
% 3.93/0.91 % (3146555)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1877592901:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % (3146557)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=3881688572: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)
% 3.93/0.91 % (3146557)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/0.91 % (3146558)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1769204328:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 3.93/0.91 % (3146558)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.93/0.91 % (3146547)Instruction limit reached!
% 3.93/0.91 % (3146547)------------------------------
% 3.93/0.91 % (3146547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146547)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146547)Termination reason: Instruction limit
% 3.93/0.91 % (3146547)Termination phase: Saturation
% 3.93/0.91 % (3146547)Time elapsed: 0.282 s
% 3.93/0.91 % (3146547)Peak memory usage: 14 MB
% 3.93/0.91 % (3146547)Instructions burned: 478 (million)
% 3.93/0.91 % (3146561)fmb+10_1_sil=64000:random_seed=1152194070:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 3.93/0.91 % (3146545)Instruction limit reached!
% 3.93/0.91 % (3146545)------------------------------
% 3.93/0.91 % (3146545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.91 % (3146545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.91 % (3146545)CaDiCaL version: 2.1.3
% 3.93/0.91 % (3146545)Termination reason: Instruction limit
% 3.93/0.91 % (3146545)Termination phase: Saturation
% 3.93/0.91 % (3146545)Time elapsed: 0.327 s
% 3.93/0.91 % (3146545)Peak memory usage: 16 MB
% 3.93/0.91 % (3146545)Instructions burned: 686 (million)
% 3.93/0.91 % (3146561)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.93/0.91 % (3146563)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1299954342:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % (3146565)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=968748142:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % Exception at run slice level
% 3.93/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.93/0.91 % (3146552) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3146522-3146552"...
% 3.93/0.91 % (3146552)...printing done.
% 3.93/0.91 % (3146552)Refutation found. Thanks to Tanya!
% 3.93/0.91 % SZS status Theorem for theBenchmark
% 3.93/0.91 % SZS output start Proof for theBenchmark
% 3.93/0.91 thf(type_def_5, type, view_ext: $tType > $tType).
% 3.93/0.91 thf(type_def_6, type, product_unit: $tType).
% 3.93/0.91 thf(type_def_7, type, real_int: $tType).
% 3.93/0.91 thf(type_def_8, type, traffic: $tType).
% 3.93/0.91 thf(type_def_9, type, nat_int: $tType).
% 3.93/0.91 thf(type_def_10, type, real: $tType).
% 3.93/0.91 thf(type_def_11, type, cars: $tType).
% 3.93/0.91 thf(type_def_12, type, nat: $tType).
% 3.93/0.91 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 3.93/0.91 thf(func_def_0, type, one: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_2, type, monoid_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_3, type, wellorder: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_4, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_5, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_6, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_7, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_8, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_9, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_10, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_11, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_12, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 3.93/0.91 thf(func_def_13, type, one_one: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_14, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.93/0.91 thf(func_def_15, type, zero_zero: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_16, type, len: ((cars > traffic > cars > real) > view_ext @ product_unit > traffic > cars > real_int)).
% 3.93/0.91 thf(func_def_17, type, move: (traffic > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_18, type, nat_card: (nat_int > nat)).
% 3.93/0.91 thf(func_def_19, type, bot_bot: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_20, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.93/0.91 thf(func_def_21, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.93/0.91 thf(func_def_22, type, real_length: (real_int > real)).
% 3.93/0.91 thf(func_def_23, type, regular_regular: (cars > traffic > cars > real)).
% 3.93/0.91 thf(func_def_24, type, restrict: (view_ext @ product_unit > (cars > nat_int) > cars > nat_int)).
% 3.93/0.91 thf(func_def_25, type, abstract: (traffic > traffic > $o)).
% 3.93/0.91 thf(func_def_26, type, clm: (traffic > cars > nat_int)).
% 3.93/0.91 thf(func_def_27, type, create_claim: (traffic > cars > nat > traffic > $o)).
% 3.93/0.91 thf(func_def_28, type, create_reservation: (traffic > cars > traffic > $o)).
% 3.93/0.91 thf(func_def_29, type, res: (traffic > cars > nat_int)).
% 3.93/0.91 thf(func_def_30, type, withdraw_claim: (traffic > cars > traffic > $o)).
% 3.93/0.91 thf(func_def_31, type, withdraw_reservation: (traffic > cars > nat > traffic > $o)).
% 3.93/0.91 thf(func_def_32, type, ext: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 3.93/0.91 thf(func_def_33, type, hchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 3.93/0.91 thf(func_def_34, type, lan: !>[X0: $tType]:((view_ext @ X0 > nat_int))).
% 3.93/0.91 thf(func_def_35, type, own: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 3.93/0.91 thf(func_def_36, type, vchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 3.93/0.91 thf(func_def_37, type, c: cars).
% 3.93/0.91 thf(func_def_38, type, d: cars).
% 3.93/0.91 thf(func_def_39, type, e: cars).
% 3.93/0.91 thf(func_def_40, type, thesis: $o).
% 3.93/0.91 thf(func_def_41, type, ts: traffic).
% 3.93/0.91 thf(func_def_42, type, ts2: traffic).
% 3.93/0.91 thf(func_def_43, type, ts_a: traffic).
% 3.93/0.91 thf(func_def_44, type, ts3: traffic).
% 3.93/0.91 thf(func_def_45, type, v: view_ext @ product_unit).
% 3.93/0.91 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 3.93/0.91 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.93/0.91 thf(func_def_51, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.93/0.91 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_54, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.93/0.91 thf(func_def_55, type, vOR: ($o > $o > $o)).
% 3.93/0.91 thf(func_def_56, type, db3: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_57, type, db2: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_58, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.93/0.91 thf(func_def_59, type, vIMP: ($o > $o > $o)).
% 3.93/0.91 thf(func_def_60, type, vNOT: ($o > $o)).
% 3.93/0.91 thf(func_def_61, type, db7: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_63, type, db6: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_64, type, db8: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_65, type, db5: !>[X0: $tType]:(X0)).
% 3.93/0.91 thf(func_def_66, type, sP0: (view_ext @ product_unit > traffic > cars > $o)).
% 3.93/0.91 thf(func_def_67, type, sP1: (view_ext @ product_unit > traffic > cars > $o)).
% 3.93/0.91 thf(func_def_68, type, sP2: (view_ext @ product_unit > traffic > $o)).
% 3.93/0.91 thf(func_def_69, type, sP3: (view_ext @ product_unit > traffic > $o)).
% 3.93/0.91 thf(func_def_70, type, sP4: (view_ext @ product_unit > traffic > $o)).
% 3.93/0.91 thf(func_def_71, type, sP5: (traffic > cars > view_ext @ product_unit > $o)).
% 3.93/0.91 thf(func_def_72, type, sP6: (traffic > cars > view_ext @ product_unit > $o)).
% 3.93/0.91 thf(func_def_73, type, sK7: view_ext @ product_unit).
% 3.93/0.91 thf(func_def_74, type, sK8: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_75, type, sK9: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_76, type, sK10: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_77, type, sK11: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_78, type, sK12: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_79, type, sK13: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_80, type, sK14: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_81, type, sK15: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_82, type, sK16: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_83, type, sK17: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_84, type, sK18: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_85, type, sK19: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_86, type, sK20: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_87, type, sK21: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_88, type, sK22: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_89, type, sK23: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_90, type, sK24: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_91, type, sK25: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_92, type, sK26: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_93, type, sK27: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_94, type, sK28: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_95, type, sK29: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_96, type, sK30: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > traffic)).
% 3.93/0.91 thf(func_def_97, type, sK31: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > traffic)).
% 3.93/0.91 thf(func_def_98, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 3.93/0.91 thf(func_def_99, type, sK33: cars).
% 3.93/0.91 thf(func_def_100, type, sK34: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_101, type, sK35: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_102, type, sK36: (cars > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_103, type, sK37: (cars > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_104, type, sK38: (cars > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_105, type, sK39: (cars > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_106, type, sK40: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_107, type, sK41: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_108, type, sK42: cars).
% 3.93/0.91 thf(func_def_109, type, sK43: (view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_110, type, sK44: (view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_111, type, sK45: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_112, type, sK46: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_113, type, sK47: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_114, type, sK48: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_115, type, sK49: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_116, type, sK50: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_117, type, sK51: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_118, type, sK52: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_119, type, sK53: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_120, type, sK54: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_121, type, sK55: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_122, type, sK56: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_123, type, sK57: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_124, type, sK58: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_125, type, sK59: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_126, type, sK60: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_127, type, sK61: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_128, type, sK62: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_129, type, sK63: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_130, type, sK64: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_131, type, sK65: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_132, type, sK66: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_133, type, sK67: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_134, type, sK68: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_135, type, sK69: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_136, type, sK70: (view_ext @ product_unit > traffic > cars > traffic)).
% 3.93/0.91 thf(func_def_137, type, sK71: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 3.93/0.91 thf(func_def_138, type, sK72: ((nat > $o) > nat)).
% 3.93/0.91 thf(func_def_139, type, sK73: ((nat > $o) > nat)).
% 3.93/0.91 thf(func_def_140, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 3.93/0.91 thf(func_def_141, type, sK75: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 3.93/0.91 thf(func_def_142, type, sK76: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 3.93/0.91 thf(func_def_143, type, sK77: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 3.93/0.91 thf(func_def_144, type, sK78: ((nat > $o) > nat)).
% 3.93/0.91 thf(func_def_145, type, sK79: ((nat > nat) > nat)).
% 3.93/0.91 thf(func_def_146, type, sK80: ((nat > nat) > nat)).
% 3.93/0.91 thf(func_def_147, type, sK81: ((nat > $o) > nat)).
% 3.93/0.91 thf(func_def_148, type, sK82: (nat > (nat > $o) > nat)).
% 3.93/0.91 thf(func_def_149, type, sK83: (nat > (nat > $o) > nat)).
% 3.93/0.91 thf(func_def_150, type, sK84: (view_ext @ product_unit > nat > nat > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_151, type, sK85: (view_ext @ product_unit > nat > nat > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_152, type, sK86: (nat > nat > nat)).
% 3.93/0.91 thf(func_def_153, type, sK87: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.93/0.91 thf(func_def_154, type, sK88: (traffic > cars > view_ext @ product_unit > traffic)).
% 3.93/0.91 thf(func_def_155, type, sK89: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_156, type, sK90: (view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_157, type, sK91: (view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_158, type, sK92: (view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_159, type, sK93: (traffic > view_ext @ product_unit > cars)).
% 3.93/0.91 thf(func_def_160, type, sK94: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_161, type, sK95: (traffic > view_ext @ product_unit > cars)).
% 3.93/0.91 thf(func_def_162, type, sK96: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_163, type, sK97: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_164, type, sK98: (traffic > view_ext @ product_unit > cars)).
% 3.93/0.91 thf(func_def_165, type, sK99: (view_ext @ product_unit > traffic > cars)).
% 3.93/0.91 thf(func_def_166, type, sK100: (traffic > view_ext @ product_unit > cars)).
% 3.93/0.91 thf(func_def_167, type, sK101: (traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_168, type, sK102: (traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_169, type, sK103: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_170, type, sK104: (view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_171, type, sK105: (view_ext @ product_unit > real > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_172, type, sK106: (view_ext @ product_unit > real > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_173, type, sK107: (view_ext @ product_unit > nat > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_174, type, sK108: (view_ext @ product_unit > nat > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_175, type, sK109: (traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic)).
% 3.93/0.91 thf(func_def_176, type, sK110: (traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic)).
% 3.93/0.91 thf(func_def_177, type, sK111: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > traffic)).
% 3.93/0.91 thf(func_def_178, type, sK112: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > traffic)).
% 3.93/0.91 thf(func_def_179, type, sK113: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_180, type, sK114: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_181, type, sK115: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_182, type, sK116: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_183, type, sK117: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_184, type, sK118: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_185, type, sK119: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_186, type, sK120: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_187, type, sK121: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_188, type, sK122: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_189, type, sK123: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_190, type, sK124: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_191, type, sK125: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_192, type, sK126: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_193, type, sK127: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_194, type, sK128: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_195, type, sK129: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_196, type, sK130: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_197, type, sK131: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_198, type, sK132: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_199, type, sK133: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_200, type, sK134: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_201, type, sK135: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_202, type, sK136: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_203, type, sK137: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_204, type, sK138: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_205, type, sK139: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_206, type, sK140: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_207, type, sK141: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_208, type, sK142: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_209, type, sK143: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_210, type, sK144: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_211, type, sK145: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_212, type, sK146: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_213, type, sK147: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_214, type, sK148: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_215, type, sK149: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_216, type, sK150: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_217, type, sK151: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_218, type, sK152: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_219, type, sK153: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_220, type, sK154: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_221, type, sK155: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_222, type, sK156: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_223, type, sK157: (traffic > view_ext @ product_unit > cars > view_ext @ product_unit)).
% 3.93/0.91 thf(func_def_224, type, sK158: (traffic > view_ext @ product_unit > cars > view_ext @ product_unit)).
% 3.93/0.91 thf(f5,axiom,(
% 3.93/0.91 ? [X0 : view_ext @ product_unit] : ((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v)))),
% 3.93/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062)).
% 3.93/0.91 thf(f278,axiom,(
% 3.93/0.91 ! [X0 : view_ext @ product_unit] : (((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) => thesis)),
% 3.93/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 3.93/0.91 thf(f279,conjecture,(
% 3.93/0.91 thesis),
% 3.93/0.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 3.93/0.91 thf(f280,negated_conjecture,(
% 3.93/0.91 ~thesis),
% 3.93/0.91 inference(negated_conjecture,[status(cth)],[f279])).
% 3.93/0.91 thf(f287,plain,(
% 3.93/0.91 ? [X0 : view_ext @ product_unit] : ((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v)))),
% 3.93/0.91 inference(rectify,[],[f5])).
% 3.93/0.91 thf(f288,plain,(
% 3.93/0.91 ? [X0 : view_ext @ product_unit] : ((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((lan @ product_unit @ X0)) = ((restrict @ X0 @ (res @ ts) @ e))) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ e))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ c))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) = $true))),
% 3.93/0.92 inference(fool_elimination,[],[f287])).
% 3.93/0.92 thf(f803,plain,(
% 3.93/0.92 ! [X0 : view_ext @ product_unit] : (((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ e)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ e)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((len @ regular_regular @ X0 @ ts @ c)) = ((ext @ product_unit @ X0))) & (ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0))) & (ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) => thesis)),
% 3.93/0.92 inference(rectify,[],[f278])).
% 3.93/0.92 thf(f804,plain,(
% 3.93/0.92 ! [X0 : view_ext @ product_unit] : (((((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((lan @ product_unit @ X0)) = ((restrict @ X0 @ (res @ ts) @ e))) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ e))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((nat_card @ (lan @ product_unit @ X0))) = one_one @ nat) & (((restrict @ X0 @ (res @ ts) @ c)) = ((lan @ product_unit @ X0))) & (((ext @ product_unit @ X0)) = ((len @ regular_regular @ X0 @ ts @ c))) & (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) = $true) & (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) = $true)) => (thesis = $true))),
% 3.93/0.92 inference(fool_elimination,[],[f803])).
% 3.93/0.92 thf(f805,plain,(
% 3.93/0.92 ~thesis),
% 3.93/0.92 inference(rectify,[],[f280])).
% 3.93/0.92 thf(f806,plain,(
% 3.93/0.92 ~ (thesis = $true)),
% 3.93/0.92 inference(fool_elimination,[],[f805])).
% 3.93/0.92 thf(f836,plain,(
% 3.93/0.92 (thesis != $true)),
% 3.93/0.92 inference(flattening,[],[f806])).
% 3.93/0.92 thf(f1078,plain,(
% 3.93/0.92 ! [X0 : view_ext @ product_unit] : ((thesis = $true) | ((((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true)))),
% 3.93/0.92 inference(ennf_transformation,[],[f804])).
% 3.93/0.92 thf(f1079,plain,(
% 3.93/0.92 ! [X0 : view_ext @ product_unit] : ((thesis = $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true))),
% 3.93/0.92 inference(flattening,[],[f1078])).
% 3.93/0.92 thf(f1093,plain,(
% 3.93/0.92 (one_one @ nat = ((nat_card @ (lan @ product_unit @ sK7)))) & (((lan @ product_unit @ sK7)) = ((restrict @ sK7 @ (res @ ts) @ e))) & (((ext @ product_unit @ sK7)) = ((len @ regular_regular @ sK7 @ ts @ e))) & ($true = ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7))))) & (one_one @ nat = ((nat_card @ (lan @ product_unit @ sK7)))) & (((lan @ product_unit @ sK7)) = ((restrict @ sK7 @ (res @ ts) @ c))) & (((ext @ product_unit @ sK7)) = ((len @ regular_regular @ sK7 @ ts @ c))) & ($true = ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7))))) & ($true = ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f288])).
% 3.93/0.92 thf(f1168,plain,(
% 3.93/0.92 ($true = ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1169,plain,(
% 3.93/0.92 ($true = ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7)))))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1170,plain,(
% 3.93/0.92 (((ext @ product_unit @ sK7)) = ((len @ regular_regular @ sK7 @ ts @ c)))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1171,plain,(
% 3.93/0.92 (((lan @ product_unit @ sK7)) = ((restrict @ sK7 @ (res @ ts) @ c)))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1172,plain,(
% 3.93/0.92 (one_one @ nat = ((nat_card @ (lan @ product_unit @ sK7))))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1174,plain,(
% 3.93/0.92 (((ext @ product_unit @ sK7)) = ((len @ regular_regular @ sK7 @ ts @ e)))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1175,plain,(
% 3.93/0.92 (((lan @ product_unit @ sK7)) = ((restrict @ sK7 @ (res @ ts) @ e)))),
% 3.93/0.92 inference(cnf_transformation,[],[f1093])).
% 3.93/0.92 thf(f1589,plain,(
% 3.93/0.92 ( ! [X0 : view_ext @ product_unit] : ((thesis = $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true)) )),
% 3.93/0.92 inference(cnf_transformation,[],[f1079])).
% 3.93/0.92 thf(f1590,plain,(
% 3.93/0.92 (thesis != $true)),
% 3.93/0.92 inference(cnf_transformation,[],[f836])).
% 3.93/0.92 thf(f1606,plain,(
% 3.93/0.92 ( ! [X0 : view_ext @ product_unit] : ((thesis = $true) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true)) )),
% 3.93/0.92 inference(duplicate_literal_removal,[],[f1589])).
% 3.93/0.92 thf(f3138,plain,(
% 3.93/0.92 ( ! [X0 : view_ext @ product_unit] : ((((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ e))) | (((lan @ product_unit @ X0)) != ((restrict @ X0 @ (res @ ts) @ e))) | (((nat_card @ (lan @ product_unit @ X0))) != one_one @ nat) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ X0)))) != $true) | (((restrict @ X0 @ (res @ ts) @ c)) != ((lan @ product_unit @ X0))) | (((ext @ product_unit @ X0)) != ((len @ regular_regular @ X0 @ ts @ c))) | (((ord_less_eq @ view_ext @ product_unit @ X0 @ (move @ ts3 @ ts @ v))) != $true)) )),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f1606,f1590])).
% 3.93/0.92 thf(f10024,plain,(
% 3.93/0.92 (((ext @ product_unit @ sK7)) != ((ext @ product_unit @ sK7))) | (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ e))) | (one_one @ nat != ((nat_card @ (lan @ product_unit @ sK7)))) | ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7))))) | (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ c))) | (((ext @ product_unit @ sK7)) != ((len @ regular_regular @ sK7 @ ts @ c))) | ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(constrained_superposition,[],[f3138,f1174])).
% 3.93/0.92 thf(f10025,plain,(
% 3.93/0.92 (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ e))) | (one_one @ nat != ((nat_card @ (lan @ product_unit @ sK7)))) | ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7))))) | (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ c))) | (((ext @ product_unit @ sK7)) != ((len @ regular_regular @ sK7 @ ts @ c))) | ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(trivial_inequality_removal,[],[f10024])).
% 3.93/0.92 thf(f10026,plain,(
% 3.93/0.92 (one_one @ nat != ((nat_card @ (lan @ product_unit @ sK7)))) | ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7))))) | (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ c))) | (((ext @ product_unit @ sK7)) != ((len @ regular_regular @ sK7 @ ts @ c))) | ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f10025,f1175])).
% 3.93/0.92 thf(f10027,plain,(
% 3.93/0.92 ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (ext @ product_unit @ sK7))))) | (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ c))) | (((ext @ product_unit @ sK7)) != ((len @ regular_regular @ sK7 @ ts @ c))) | ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f10026,f1172])).
% 3.93/0.92 thf(f10028,plain,(
% 3.93/0.92 (((lan @ product_unit @ sK7)) != ((restrict @ sK7 @ (res @ ts) @ c))) | (((ext @ product_unit @ sK7)) != ((len @ regular_regular @ sK7 @ ts @ c))) | ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f10027,f1169])).
% 3.93/0.92 thf(f10029,plain,(
% 3.93/0.92 (((ext @ product_unit @ sK7)) != ((len @ regular_regular @ sK7 @ ts @ c))) | ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f10028,f1171])).
% 3.93/0.92 thf(f10030,plain,(
% 3.93/0.92 ($true != ((ord_less_eq @ view_ext @ product_unit @ sK7 @ (move @ ts3 @ ts @ v))))),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f10029,f1170])).
% 3.93/0.92 thf(f10031,plain,(
% 3.93/0.92 $false),
% 3.93/0.92 inference(forward_subsumption_resolution,[],[f10030,f1168])).
% 3.93/0.92 % SZS output end Proof for theBenchmark
% 3.93/0.92 % (3146552)------------------------------
% 3.93/0.92 % (3146552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.92 % (3146552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.92 % (3146552)CaDiCaL version: 2.1.3
% 3.93/0.92 % (3146552)Termination reason: Refutation
% 3.93/0.92 % (3146552)Time elapsed: 0.434 s
% 3.93/0.92 % (3146552)Peak memory usage: 19 MB
% 3.93/0.92 % (3146552)Instructions burned: 895 (million)
% 3.93/0.92 % (3146522)Success in time 0.67 s
% 3.93/0.92 % Vampire exiting
%------------------------------------------------------------------------------