%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP168^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:58 AM UTC 2026
% Result : Theorem 1.73s 0.57s
% Output : Refutation 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP168^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:05:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 1.73/0.57 % (1777893)Will run a generic schedule for satisfiability detection.
% 1.73/0.57 % (1777899)% WARNING: option uhcvi not known.
% 1.73/0.57 % (1777899)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1378650987:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.73/0.57 % (1777900)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3057075980:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.73/0.57 % (1777904)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3713506739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.73/0.57 % (1777901)dis+10_1_sil=32000:sp=arity:random_seed=1130301975:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.73/0.57 % (1777898)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=189558543_2999 on theBenchmark for (2999ds/0Mi)
% 1.73/0.57 % (1777899)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.73/0.57 % (1777902)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4266409433:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.73/0.57 % (1777903)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2043521366:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.73/0.57 % (1777902)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.73/0.57 % (1777901)Instruction limit reached!
% 1.73/0.57 % (1777901)------------------------------
% 1.73/0.57 % (1777901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777901)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777901)Termination reason: Instruction limit
% 1.73/0.57 % (1777901)Termination phase: Property scanning
% 1.73/0.57 % (1777901)Time elapsed: 0.047 s
% 1.73/0.57 % (1777901)Peak memory usage: 11 MB
% 1.73/0.57 % (1777901)Instructions burned: 105 (million)
% 1.73/0.57 % (1777899)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.73/0.57 % (1777912)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2052053139:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.73/0.57 % (1777904)Instruction limit reached!
% 1.73/0.57 % (1777904)------------------------------
% 1.73/0.57 % (1777904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777904)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777904)Termination reason: Instruction limit
% 1.73/0.57 % (1777904)Termination phase: Saturation
% 1.73/0.57 % (1777904)Time elapsed: 0.072 s
% 1.73/0.57 % (1777904)Peak memory usage: 13 MB
% 1.73/0.57 % (1777904)Instructions burned: 161 (million)
% 1.73/0.57 % (1777903)Instruction limit reached!
% 1.73/0.57 % (1777903)------------------------------
% 1.73/0.57 % (1777903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777903)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777903)Termination reason: Instruction limit
% 1.73/0.57 % (1777903)Termination phase: Property scanning
% 1.73/0.57 % (1777903)Time elapsed: 0.054 s
% 1.73/0.57 % (1777903)Peak memory usage: 12 MB
% 1.73/0.57 % (1777903)Instructions burned: 131 (million)
% 1.73/0.57 % (1777902)Instruction limit reached!
% 1.73/0.57 % (1777902)------------------------------
% 1.73/0.57 % (1777902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777902)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777902)Termination reason: Instruction limit
% 1.73/0.57 % (1777902)Termination phase: Property scanning
% 1.73/0.57 % (1777902)Time elapsed: 0.060 s
% 1.73/0.57 % (1777902)Peak memory usage: 12 MB
% 1.73/0.57 % (1777902)Instructions burned: 116 (million)
% 1.73/0.57 % Exception at run slice level
% 1.73/0.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.73/0.57 % (1777914)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2407490102:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.73/0.57 % (1777918)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2635515049:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.73/0.57 % (1777915)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=4090497753:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.73/0.57 % (1777916)ott-21_1_sil=16000:fs=off:random_seed=2208136676:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.73/0.57 % Exception at run slice level
% 1.73/0.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.73/0.57 % (1777915)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.73/0.57 % (1777914)Instruction limit reached!
% 1.73/0.57 % (1777914)------------------------------
% 1.73/0.57 % (1777914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777914)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777914)Termination reason: Instruction limit
% 1.73/0.57 % (1777914)Termination phase: Property scanning
% 1.73/0.57 % (1777914)Time elapsed: 0.056 s
% 1.73/0.57 % (1777914)Peak memory usage: 11 MB
% 1.73/0.57 % (1777914)Instructions burned: 133 (million)
% 1.73/0.57 % (1777922)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2080313986:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.73/0.57 % (1777923)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=388621869:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.73/0.57 % (1777915)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.73/0.57 % (1777916)Instruction limit reached!
% 1.73/0.57 % (1777916)------------------------------
% 1.73/0.57 % (1777916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777916)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777916)Termination reason: Instruction limit
% 1.73/0.57 % (1777916)Termination phase: Saturation
% 1.73/0.57 % (1777916)Time elapsed: 0.075 s
% 1.73/0.57 % (1777916)Peak memory usage: 13 MB
% 1.73/0.57 % (1777916)Instructions burned: 182 (million)
% 1.73/0.57 % Exception at run slice level
% 1.73/0.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.73/0.57 % (1777926)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3881990374:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 1.73/0.57 % (1777928)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=1758434777:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.73/0.57 % (1777928)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.73/0.57 % Exception at run slice level
% 1.73/0.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.73/0.57 % (1777915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1777893-1777915"...
% 1.73/0.57 % (1777915)...printing done.
% 1.73/0.57 % (1777915)Refutation found. Thanks to Tanya!
% 1.73/0.57 % SZS status Theorem for theBenchmark
% 1.73/0.57 % SZS output start Proof for theBenchmark
% 1.73/0.57 thf(type_def_5, type, view_ext: $tType > $tType).
% 1.73/0.57 thf(type_def_6, type, product_unit: $tType).
% 1.73/0.57 thf(type_def_7, type, real_int: $tType).
% 1.73/0.57 thf(type_def_8, type, traffic: $tType).
% 1.73/0.57 thf(type_def_9, type, nat_int: $tType).
% 1.73/0.57 thf(type_def_10, type, real: $tType).
% 1.73/0.57 thf(type_def_11, type, cars: $tType).
% 1.73/0.57 thf(type_def_12, type, nat: $tType).
% 1.73/0.57 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 1.73/0.57 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_1, type, minus: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_6, type, no_bot: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_7, type, no_top: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_8, type, linorder: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_9, type, preorder: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_10, type, order_bot: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_11, type, wellorder: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_12, type, dense_order: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_13, type, dense_linorder: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_14, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_15, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 1.73/0.57 thf(func_def_16, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 1.73/0.57 thf(func_def_17, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_18, type, default_default: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_19, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_20, type, move: (traffic > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_21, type, nat_N_Chop: (nat_int > nat_int > nat_int > $o)).
% 1.73/0.57 thf(func_def_22, type, nat_card: (nat_int > nat)).
% 1.73/0.57 thf(func_def_23, type, nat_consec: (nat_int > nat_int > $o)).
% 1.73/0.57 thf(func_def_24, type, nat_not_in: (nat > nat_int > $o)).
% 1.73/0.57 thf(func_def_25, type, nat_union: (nat_int > nat_int > nat_int)).
% 1.73/0.57 thf(func_def_26, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_27, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.73/0.57 thf(func_def_28, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.73/0.57 thf(func_def_29, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_30, type, product_Unity: product_unit).
% 1.73/0.57 thf(func_def_31, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 1.73/0.57 thf(func_def_32, type, real_R_Chop: (real_int > real_int > real_int > $o)).
% 1.73/0.57 thf(func_def_33, type, real_shift: (real_int > real > real_int)).
% 1.73/0.57 thf(func_def_34, type, abstract: (traffic > traffic > $o)).
% 1.73/0.57 thf(func_def_35, type, braking_distance: (traffic > cars > real)).
% 1.73/0.57 thf(func_def_36, type, change_dyn: (traffic > cars > (real > real) > traffic > $o)).
% 1.73/0.57 thf(func_def_37, type, clm: (traffic > cars > nat_int)).
% 1.73/0.57 thf(func_def_38, type, create_claim: (traffic > cars > nat > traffic > $o)).
% 1.73/0.57 thf(func_def_39, type, create_reservation: (traffic > cars > traffic > $o)).
% 1.73/0.57 thf(func_def_40, type, dyn: (traffic > cars > real > real)).
% 1.73/0.57 thf(func_def_41, type, evolve: (traffic > traffic > $o)).
% 1.73/0.57 thf(func_def_42, type, physical_size: (traffic > cars > real)).
% 1.73/0.57 thf(func_def_43, type, pos: (traffic > cars > real)).
% 1.73/0.57 thf(func_def_44, type, res: (traffic > cars > nat_int)).
% 1.73/0.57 thf(func_def_45, type, withdraw_claim: (traffic > cars > traffic > $o)).
% 1.73/0.57 thf(func_def_46, type, withdraw_reservation: (traffic > cars > nat > traffic > $o)).
% 1.73/0.57 thf(func_def_47, type, ext: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 1.73/0.57 thf(func_def_48, type, hchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 1.73/0.57 thf(func_def_49, type, lan: !>[X0: $tType]:((view_ext @ X0 > nat_int))).
% 1.73/0.57 thf(func_def_50, type, more: !>[X0: $tType]:((view_ext @ X0 > X0))).
% 1.73/0.57 thf(func_def_51, type, own: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 1.73/0.57 thf(func_def_52, type, switch: (view_ext @ product_unit > cars > view_ext @ product_unit > $o)).
% 1.73/0.57 thf(func_def_53, type, view_ext2: !>[X0: $tType]:((real_int > nat_int > cars > X0 > view_ext @ X0))).
% 1.73/0.57 thf(func_def_54, type, ts: traffic).
% 1.73/0.57 thf(func_def_55, type, ts2: traffic).
% 1.73/0.57 thf(func_def_56, type, ts_a: traffic).
% 1.73/0.57 thf(func_def_57, type, ts3: traffic).
% 1.73/0.57 thf(func_def_58, type, v: view_ext @ product_unit).
% 1.73/0.57 thf(func_def_62, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.73/0.57 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 1.73/0.57 thf(func_def_64, type, db0: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.73/0.57 thf(func_def_66, type, db1: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_67, type, db2: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.73/0.57 thf(func_def_69, type, vAND: ($o > $o > $o)).
% 1.73/0.57 thf(func_def_70, type, db3: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_71, type, vOR: ($o > $o > $o)).
% 1.73/0.57 thf(func_def_72, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.73/0.57 thf(func_def_73, type, vNOT: ($o > $o)).
% 1.73/0.57 thf(func_def_74, type, sP0: (traffic > (traffic > $o) > $o)).
% 1.73/0.57 thf(func_def_75, type, sP1: (traffic > (traffic > $o) > $o)).
% 1.73/0.57 thf(func_def_76, type, sP2: (traffic > (traffic > $o) > $o)).
% 1.73/0.57 thf(func_def_77, type, sP3: (traffic > (traffic > $o) > $o)).
% 1.73/0.57 thf(func_def_78, type, sP4: (traffic > traffic > $o)).
% 1.73/0.57 thf(func_def_79, type, sP5: (traffic > traffic > $o)).
% 1.73/0.57 thf(func_def_80, type, sP6: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > cars > (traffic > view_ext @ product_unit > $o) > traffic > $o)).
% 1.73/0.57 thf(func_def_81, type, sP7: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.73/0.57 thf(func_def_82, type, sP8: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.73/0.57 thf(func_def_83, type, sP9: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.73/0.57 thf(func_def_84, type, sK10: cars).
% 1.73/0.57 thf(func_def_85, type, sK11: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > traffic)).
% 1.73/0.57 thf(func_def_86, type, sK12: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > traffic)).
% 1.73/0.57 thf(func_def_87, type, sK13: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_88, type, sK14: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_89, type, sK15: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_90, type, sK16: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_91, type, sK17: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_92, type, sK18: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_93, type, sK19: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_94, type, sK20: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_95, type, sK21: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_96, type, sK22: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_97, type, sK23: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_98, type, sK24: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_99, type, sK25: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_100, type, sK26: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_101, type, sK27: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_102, type, sK28: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_103, type, sK29: (view_ext @ product_unit > real_int)).
% 1.73/0.57 thf(func_def_104, type, sK30: (view_ext @ product_unit > nat_int)).
% 1.73/0.57 thf(func_def_105, type, sK31: (view_ext @ product_unit > cars)).
% 1.73/0.57 thf(func_def_106, type, sK32: ((view_ext @ product_unit > $o) > real_int)).
% 1.73/0.57 thf(func_def_107, type, sK33: ((view_ext @ product_unit > $o) > nat_int)).
% 1.73/0.57 thf(func_def_108, type, sK34: ((view_ext @ product_unit > $o) > cars)).
% 1.73/0.57 thf(func_def_109, type, sK35: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_110, type, sK36: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_111, type, sK37: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_112, type, sK38: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_113, type, sK39: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_114, type, sK40: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_115, type, sK41: !>[X0: $tType]:(((view_ext @ X0 > $o) > real_int))).
% 1.73/0.57 thf(func_def_116, type, sK42: !>[X0: $tType]:(((view_ext @ X0 > $o) > nat_int))).
% 1.73/0.57 thf(func_def_117, type, sK43: !>[X0: $tType]:(((view_ext @ X0 > $o) > cars))).
% 1.73/0.57 thf(func_def_118, type, sK44: !>[X0: $tType]:(((view_ext @ X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_119, type, sK45: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 1.73/0.57 thf(func_def_120, type, sK46: !>[X0: $tType]:((view_ext @ X0 > nat_int))).
% 1.73/0.57 thf(func_def_121, type, sK47: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 1.73/0.57 thf(func_def_122, type, sK48: !>[X0: $tType]:((view_ext @ X0 > X0))).
% 1.73/0.57 thf(func_def_123, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_124, type, sK50: (traffic > cars > traffic)).
% 1.73/0.57 thf(func_def_125, type, sK51: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_126, type, sK52: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_127, type, sK53: (traffic > (traffic > $o) > cars)).
% 1.73/0.57 thf(func_def_128, type, sK54: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_129, type, sK55: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_130, type, sK56: (traffic > (traffic > $o) > cars)).
% 1.73/0.57 thf(func_def_131, type, sK57: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_132, type, sK58: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_133, type, sK59: (traffic > (traffic > $o) > cars)).
% 1.73/0.57 thf(func_def_134, type, sK60: (traffic > (traffic > $o) > nat)).
% 1.73/0.57 thf(func_def_135, type, sK61: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_136, type, sK62: (traffic > (traffic > $o) > traffic)).
% 1.73/0.57 thf(func_def_137, type, sK63: ((traffic > $o) > traffic > traffic)).
% 1.73/0.57 thf(func_def_138, type, sK64: ((traffic > $o) > traffic > traffic)).
% 1.73/0.57 thf(func_def_139, type, sK65: ((traffic > $o) > traffic > cars)).
% 1.73/0.57 thf(func_def_140, type, sK66: ((traffic > $o) > traffic > nat)).
% 1.73/0.57 thf(func_def_141, type, sK67: (traffic > traffic > traffic)).
% 1.73/0.57 thf(func_def_142, type, sK68: (traffic > traffic > cars)).
% 1.73/0.57 thf(func_def_143, type, sK69: (traffic > traffic > nat)).
% 1.73/0.57 thf(func_def_144, type, sK70: (traffic > traffic > traffic)).
% 1.73/0.57 thf(func_def_145, type, sK71: (traffic > traffic > traffic)).
% 1.73/0.57 thf(func_def_146, type, sK72: (traffic > traffic > cars)).
% 1.73/0.57 thf(func_def_147, type, sK73: (traffic > traffic > nat)).
% 1.73/0.57 thf(func_def_148, type, sK74: (traffic > traffic > traffic)).
% 1.73/0.57 thf(func_def_149, type, sK75: (traffic > traffic > cars)).
% 1.73/0.57 thf(func_def_150, type, sK76: (traffic > traffic > traffic)).
% 1.73/0.57 thf(func_def_151, type, sK77: (traffic > traffic > cars)).
% 1.73/0.57 thf(func_def_152, type, sK78: (real_int > real_int)).
% 1.73/0.57 thf(func_def_153, type, sK79: (real_int > real_int)).
% 1.73/0.57 thf(func_def_154, type, sK80: (real_int > real_int)).
% 1.73/0.57 thf(func_def_155, type, sK81: (real_int > real_int)).
% 1.73/0.57 thf(func_def_156, type, sK82: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > cars)).
% 1.73/0.57 thf(func_def_157, type, sK83: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_158, type, sK84: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_159, type, sK85: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_160, type, sK86: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_161, type, sK87: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_162, type, sK88: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_163, type, sK89: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > cars > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_164, type, sK90: (view_ext @ product_unit > cars > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_165, type, sK91: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > cars > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_166, type, sK92: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_167, type, sK93: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_168, type, sK94: (cars > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_169, type, sK95: (view_ext @ product_unit > cars)).
% 1.73/0.57 thf(func_def_170, type, sK96: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_171, type, sK97: (view_ext @ product_unit > cars > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_172, type, sK98: (view_ext @ product_unit > cars > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_173, type, sK99: (cars > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_174, type, sK100: (cars > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_175, type, sK101: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_176, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_177, type, sK103: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_178, type, sK104: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_179, type, sK105: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_180, type, sK106: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_181, type, sK107: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_182, type, sK108: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_183, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_184, type, sK110: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_185, type, sK111: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_186, type, sK112: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_187, type, sK113: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_188, type, sK114: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_189, type, sK115: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_190, type, sK116: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_191, type, sK117: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_192, type, sK118: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_193, type, sK119: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_194, type, sK120: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_195, type, sK121: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_196, type, sK122: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_197, type, sK123: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_198, type, sK124: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_199, type, sK125: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_200, type, sK126: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_201, type, sK127: (cars > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_202, type, sK128: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_203, type, sK129: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_204, type, sK130: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_205, type, sK131: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_206, type, sK132: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_207, type, sK133: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_208, type, sK134: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.73/0.57 thf(func_def_209, type, sK135: !>[X0: $tType]:((X0 > X0))).
% 1.73/0.57 thf(func_def_210, type, sK136: !>[X0: $tType]:((X0 > X0))).
% 1.73/0.57 thf(func_def_211, type, sK137: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_212, type, sK138: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_213, type, sK139: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_214, type, sK140: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_215, type, sK141: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_216, type, sK142: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.73/0.57 thf(func_def_217, type, sK143: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_218, type, sK144: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.73/0.57 thf(func_def_219, type, sK145: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_220, type, sK146: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_221, type, sK147: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.73/0.57 thf(func_def_222, type, sK148: ((traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_223, type, sK149: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > cars > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_224, type, sK150: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_225, type, sK151: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_226, type, sK152: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_227, type, sK153: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_228, type, sK154: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_229, type, sK155: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > cars > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_230, type, sK156: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > cars > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_231, type, sK157: (cars > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_232, type, sK158: (cars > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_233, type, sK159: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > cars > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_234, type, sK160: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > cars > traffic > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_235, type, sK161: !>[X0: $tType]:((cars > X0 > view_ext @ product_unit > X0 > view_ext @ product_unit))).
% 1.73/0.57 thf(func_def_236, type, sK162: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_237, type, sK163: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_238, type, sK164: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_239, type, sK165: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_240, type, sK166: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_241, type, sK167: ((traffic > view_ext @ product_unit > $o) > traffic > cars > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_242, type, sK168: (view_ext @ product_unit > nat > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_243, type, sK169: (view_ext @ product_unit > nat > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_244, type, db4: !>[X0: $tType]:(X0)).
% 1.73/0.57 thf(func_def_245, type, sK170: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_246, type, sK171: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_247, type, sK172: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_248, type, sK173: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_249, type, sK174: ((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)).
% 1.73/0.57 thf(func_def_250, type, sK175: ((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)).
% 1.73/0.57 thf(func_def_251, type, sK176: ((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)).
% 1.73/0.57 thf(func_def_252, type, sK177: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_253, type, sK178: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_254, type, sK179: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_255, type, sK180: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.73/0.57 thf(func_def_256, type, sK181: ((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)).
% 1.73/0.57 thf(func_def_257, type, sK182: ((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)).
% 1.73/0.57 thf(func_def_258, type, sK183: ((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)).
% 1.73/0.57 thf(func_def_259, type, sK184: ((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)).
% 1.73/0.57 thf(func_def_260, type, sK185: ((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)).
% 1.73/0.57 thf(func_def_261, type, sK186: ((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)).
% 1.73/0.57 thf(func_def_262, type, sK187: ((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)).
% 1.73/0.57 thf(func_def_263, type, sK188: ((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)).
% 1.73/0.57 thf(func_def_264, type, sK189: ((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)).
% 1.73/0.57 thf(func_def_265, type, sK190: ((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)).
% 1.73/0.57 thf(func_def_266, type, sK191: ((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)).
% 1.73/0.57 thf(func_def_267, type, sK192: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > traffic)).
% 1.73/0.57 thf(func_def_268, type, sK193: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > traffic)).
% 1.73/0.57 thf(func_def_269, type, sK194: (traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic)).
% 1.73/0.57 thf(func_def_270, type, sK195: (traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic)).
% 1.73/0.57 thf(f2,axiom,(
% 1.73/0.57 ? [X0 : cars] : (create_reservation @ ts_a @ X0 @ ts)),
% 1.73/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cr__res_Ohyps_I2_J)).
% 1.73/0.57 thf(f10,axiom,(
% 1.73/0.57 (move = (^[X0 : traffic, X1 : traffic, X2 : view_ext @ product_unit] : ((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ X2) @ (minus_minus @ real @ (pos @ X1 @ (own @ product_unit @ X2)) @ (pos @ X0 @ (own @ product_unit @ X2)))) @ (lan @ product_unit @ X2) @ (own @ product_unit @ X2) @ product_Unity))))),
% 1.73/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_traffic_Omove__def)).
% 1.73/0.57 thf(f50,axiom,(
% 1.73/0.57 (create_reservation = (^[X0 : traffic, X1 : cars, X2 : traffic] : ((((braking_distance @ X2)) = ((braking_distance @ X0))) & (((physical_size @ X2)) = ((physical_size @ X0))) & (((clm @ X2)) = ((fun_upd @ cars @ nat_int @ (clm @ X0) @ X1 @ bot_bot @ nat_int))) & (((dyn @ X2)) = ((dyn @ X0))) & (((res @ X2)) = ((fun_upd @ cars @ nat_int @ (res @ X0) @ X1 @ (nat_union @ (res @ X0 @ X1) @ (clm @ X0 @ X1))))) & (((pos @ X2)) = ((pos @ X0))))))),
% 1.73/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_traffic_Ocreate__reservation__def)).
% 1.73/0.57 thf(f67,axiom,(
% 1.73/0.57 ! [X0 : $tType,X1 : $tType] : (fun_upd @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : X1, X4 : X0, X5 : X1] : ((if @ X0 @ (X5 = X3) @ X4 @ (X2 @ X5)))))),
% 1.73/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_fun__upd__apply)).
% 1.73/0.57 thf(f112,axiom,(
% 1.73/0.57 ! [X0 : product_unit] : (X0 = product_Unity)),
% 1.73/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_old_Ounit_Oexhaust)).
% 1.73/0.57 thf(f314,conjecture,(
% 1.73/0.57 (((move @ ts3 @ ts_a @ v)) = ((move @ ts3 @ ts @ v)))),
% 1.73/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.73/0.57 thf(f315,negated_conjecture,(
% 1.73/0.57 ~ (((move @ ts3 @ ts_a @ v)) = ((move @ ts3 @ ts @ v)))),
% 1.73/0.57 inference(negated_conjecture,[status(cth)],[f314])).
% 1.73/0.57 thf(f318,plain,(
% 1.73/0.57 ? [X0 : cars] : (create_reservation @ ts_a @ X0 @ ts)),
% 1.73/0.57 inference(rectify,[],[f2])).
% 1.73/0.57 thf(f319,plain,(
% 1.73/0.57 ? [X0 : cars] : (((create_reservation @ ts_a @ X0 @ ts)) = $true)),
% 1.73/0.57 inference(fool_elimination,[],[f318])).
% 1.73/0.57 thf(f330,plain,(
% 1.73/0.57 (move = (^[Y0 : traffic]: ((^[Y1 : traffic]: ((^[Y2 : view_ext @ product_unit]: (view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ Y2) @ (minus_minus @ real @ (pos @ Y1 @ (own @ product_unit @ Y2)) @ (pos @ Y0 @ (own @ product_unit @ Y2)))) @ (lan @ product_unit @ Y2) @ (own @ product_unit @ Y2) @ product_Unity)))))))),
% 1.73/0.57 inference(fool_elimination,[],[f10])).
% 1.73/0.57 thf(f394,plain,(
% 1.73/0.57 (create_reservation = (^[Y0 : traffic]: ((^[Y1 : cars]: ((^[Y2 : traffic]: (((((((pos @ Y0) = (pos @ Y2)) & ((res @ Y2) = (fun_upd @ cars @ nat_int @ (res @ Y0) @ Y1 @ (nat_union @ (res @ Y0 @ Y1) @ (clm @ Y0 @ Y1))))) & ((dyn @ Y2) = (dyn @ Y0))) & ((clm @ Y2) = (fun_upd @ cars @ nat_int @ (clm @ Y0) @ Y1 @ bot_bot @ nat_int))) & ((physical_size @ Y2) = (physical_size @ Y0))) & ((braking_distance @ Y2) = (braking_distance @ Y0)))))))))),
% 1.73/0.57 inference(fool_elimination,[],[f50])).
% 1.73/0.57 thf(f416,plain,(
% 1.73/0.57 ! [X0 : $tType,X1 : $tType] : (fun_upd @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : X1, X4 : X0, X5 : X1] : ((if @ X0 @ (X5 = X3) @ X4 @ (X2 @ X5)))))),
% 1.73/0.57 inference(rectify,[],[f67])).
% 1.73/0.57 thf(f417,plain,(
% 1.73/0.57 ! [X0 : $tType,X1 : $tType] : (fun_upd @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : X1]: ((^[Y2 : X0]: ((^[Y3 : X1]: (if @ X0 @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))))),
% 1.73/0.57 inference(fool_elimination,[],[f416])).
% 1.73/0.57 thf(f912,plain,(
% 1.73/0.57 (((move @ ts3 @ ts_a @ v)) != ((move @ ts3 @ ts @ v)))),
% 1.73/0.57 inference(flattening,[],[f315])).
% 1.73/0.57 thf(f1208,plain,(
% 1.73/0.57 ($true = ((create_reservation @ ts_a @ sK10 @ ts)))),
% 1.73/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f319])).
% 1.73/0.57 thf(f1310,plain,(
% 1.73/0.57 ($true = ((create_reservation @ ts_a @ sK10 @ ts)))),
% 1.73/0.57 inference(cnf_transformation,[],[f1208])).
% 1.73/0.57 thf(f1320,plain,(
% 1.73/0.57 (move = (^[Y0 : traffic]: ((^[Y1 : traffic]: ((^[Y2 : view_ext @ product_unit]: (view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ Y2) @ (minus_minus @ real @ (pos @ Y1 @ (own @ product_unit @ Y2)) @ (pos @ Y0 @ (own @ product_unit @ Y2)))) @ (lan @ product_unit @ Y2) @ (own @ product_unit @ Y2) @ product_Unity)))))))),
% 1.73/0.57 inference(cnf_transformation,[],[f330])).
% 1.73/0.57 thf(f1372,plain,(
% 1.73/0.57 (create_reservation = (^[Y0 : traffic]: ((^[Y1 : cars]: ((^[Y2 : traffic]: (((((((pos @ Y0) = (pos @ Y2)) & ((res @ Y2) = (fun_upd @ cars @ nat_int @ (res @ Y0) @ Y1 @ (nat_union @ (res @ Y0 @ Y1) @ (clm @ Y0 @ Y1))))) & ((dyn @ Y2) = (dyn @ Y0))) & ((clm @ Y2) = (fun_upd @ cars @ nat_int @ (clm @ Y0) @ Y1 @ bot_bot @ nat_int))) & ((physical_size @ Y2) = (physical_size @ Y0))) & ((braking_distance @ Y2) = (braking_distance @ Y0)))))))))),
% 1.73/0.57 inference(cnf_transformation,[],[f394])).
% 1.73/0.57 thf(f1419,plain,(
% 1.73/0.57 ( ! [X1 : $tType,X0 : $tType] : ((fun_upd @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : X1]: ((^[Y2 : X0]: ((^[Y3 : X1]: (if @ X0 @ (Y1 = Y3) @ Y2 @ (Y0 @ Y3))))))))))) )),
% 1.73/0.57 inference(cnf_transformation,[],[f417])).
% 1.73/0.57 thf(f1486,plain,(
% 1.73/0.57 ( ! [X0 : product_unit] : ((product_Unity = X0)) )),
% 1.73/0.57 inference(cnf_transformation,[],[f112])).
% 1.73/0.57 thf(f1738,plain,(
% 1.73/0.57 (((move @ ts3 @ ts_a @ v)) != ((move @ ts3 @ ts @ v)))),
% 1.73/0.57 inference(cnf_transformation,[],[f912])).
% 1.73/0.57 thf(f1741,plain,(
% 1.73/0.57 (create_reservation = (^[Y0 : traffic]: ((^[Y1 : cars]: ((^[Y2 : traffic]: (((((((pos @ Y0) = (pos @ Y2)) & ((res @ Y2) = ((^[Y3 : cars > nat_int]: ((^[Y4 : cars]: ((^[Y5 : nat_int]: ((^[Y6 : cars]: (if @ nat_int @ (Y4 = Y6) @ Y5 @ (Y3 @ Y6))))))))) @ (res @ Y0) @ Y1 @ (nat_union @ (res @ Y0 @ Y1) @ (clm @ Y0 @ Y1))))) & ((dyn @ Y2) = (dyn @ Y0))) & ((clm @ Y2) = ((^[Y3 : cars > nat_int]: ((^[Y4 : cars]: ((^[Y5 : nat_int]: ((^[Y6 : cars]: (if @ nat_int @ (Y4 = Y6) @ Y5 @ (Y3 @ Y6))))))))) @ (clm @ Y0) @ Y1 @ bot_bot @ nat_int))) & ((physical_size @ Y2) = (physical_size @ Y0))) & ((braking_distance @ Y2) = (braking_distance @ Y0)))))))))),
% 1.73/0.57 inference(definition_unfolding,[],[f1372,f1419,f1419])).
% 1.73/0.57 thf(f1744,plain,(
% 1.73/0.57 ($true = (((^[Y0 : traffic]: ((^[Y1 : cars]: ((^[Y2 : traffic]: (((((((pos @ Y0) = (pos @ Y2)) & ((res @ Y2) = ((^[Y3 : cars > nat_int]: ((^[Y4 : cars]: ((^[Y5 : nat_int]: ((^[Y6 : cars]: (if @ nat_int @ (Y4 = Y6) @ Y5 @ (Y3 @ Y6))))))))) @ (res @ Y0) @ Y1 @ (nat_union @ (res @ Y0 @ Y1) @ (clm @ Y0 @ Y1))))) & ((dyn @ Y2) = (dyn @ Y0))) & ((clm @ Y2) = ((^[Y3 : cars > nat_int]: ((^[Y4 : cars]: ((^[Y5 : nat_int]: ((^[Y6 : cars]: (if @ nat_int @ (Y4 = Y6) @ Y5 @ (Y3 @ Y6))))))))) @ (clm @ Y0) @ Y1 @ bot_bot @ nat_int))) & ((physical_size @ Y2) = (physical_size @ Y0))) & ((braking_distance @ Y2) = (braking_distance @ Y0)))))))) @ ts_a @ sK10 @ ts)))),
% 1.73/0.57 inference(definition_unfolding,[],[f1310,f1741])).
% 1.73/0.57 thf(f1857,plain,(
% 1.73/0.57 ((((^[Y0 : traffic]: ((^[Y1 : traffic]: ((^[Y2 : view_ext @ product_unit]: (view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ Y2) @ (minus_minus @ real @ (pos @ Y1 @ (own @ product_unit @ Y2)) @ (pos @ Y0 @ (own @ product_unit @ Y2)))) @ (lan @ product_unit @ Y2) @ (own @ product_unit @ Y2) @ product_Unity)))))) @ ts3 @ ts_a @ v)) != (((^[Y0 : traffic]: ((^[Y1 : traffic]: ((^[Y2 : view_ext @ product_unit]: (view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ Y2) @ (minus_minus @ real @ (pos @ Y1 @ (own @ product_unit @ Y2)) @ (pos @ Y0 @ (own @ product_unit @ Y2)))) @ (lan @ product_unit @ Y2) @ (own @ product_unit @ Y2) @ product_Unity)))))) @ ts3 @ ts @ v)))),
% 1.73/0.57 inference(definition_unfolding,[],[f1738,f1320,f1320])).
% 1.73/0.57 thf(f1881,plain,(
% 1.73/0.57 (((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ v) @ (minus_minus @ real @ (pos @ ts_a @ (own @ product_unit @ v)) @ (pos @ ts3 @ (own @ product_unit @ v)))) @ (lan @ product_unit @ v) @ (own @ product_unit @ v) @ product_Unity)) != ((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ v) @ (minus_minus @ real @ (pos @ ts @ (own @ product_unit @ v)) @ (pos @ ts3 @ (own @ product_unit @ v)))) @ (lan @ product_unit @ v) @ (own @ product_unit @ v) @ product_Unity)))),
% 1.73/0.57 inference(beta-eta_normalization,[],[f1857])).
% 1.73/0.57 thf(f14346,plain,(
% 1.73/0.57 ($true = ((((((((pos @ ts_a) = (pos @ ts)) & ((res @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ (nat_union @ (res @ ts_a @ sK10) @ (clm @ ts_a @ sK10)) @ (res @ ts_a @ Y0))))) & ((dyn @ ts) = (dyn @ ts_a))) & ((clm @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ bot_bot @ nat_int @ (clm @ ts_a @ Y0))))) & ((physical_size @ ts) = (physical_size @ ts_a))) & ((braking_distance @ ts) = (braking_distance @ ts_a)))))),
% 1.73/0.57 inference(beta-eta_normalization,[],[f1744])).
% 1.73/0.57 thf(f14348,plain,(
% 1.73/0.57 ($true = (((((((pos @ ts_a) = (pos @ ts)) & ((res @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ (nat_union @ (res @ ts_a @ sK10) @ (clm @ ts_a @ sK10)) @ (res @ ts_a @ Y0))))) & ((dyn @ ts) = (dyn @ ts_a))) & ((clm @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ bot_bot @ nat_int @ (clm @ ts_a @ Y0))))) & ((physical_size @ ts) = (physical_size @ ts_a)))))),
% 1.73/0.57 inference(and_proxy_clausification,[],[f14346])).
% 1.73/0.57 thf(f14350,plain,(
% 1.73/0.57 ($true = ((((((pos @ ts_a) = (pos @ ts)) & ((res @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ (nat_union @ (res @ ts_a @ sK10) @ (clm @ ts_a @ sK10)) @ (res @ ts_a @ Y0))))) & ((dyn @ ts) = (dyn @ ts_a))) & ((clm @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ bot_bot @ nat_int @ (clm @ ts_a @ Y0)))))))),
% 1.73/0.57 inference(and_proxy_clausification,[],[f14348])).
% 1.73/0.57 thf(f14352,plain,(
% 1.73/0.57 ($true = (((((pos @ ts_a) = (pos @ ts)) & ((res @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ (nat_union @ (res @ ts_a @ sK10) @ (clm @ ts_a @ sK10)) @ (res @ ts_a @ Y0))))) & ((dyn @ ts) = (dyn @ ts_a)))))),
% 1.73/0.57 inference(and_proxy_clausification,[],[f14350])).
% 1.73/0.57 thf(f14354,plain,(
% 1.73/0.57 ($true = ((((pos @ ts_a) = (pos @ ts)) & ((res @ ts) = (^[Y0 : cars]: (if @ nat_int @ (sK10 = Y0) @ (nat_union @ (res @ ts_a @ sK10) @ (clm @ ts_a @ sK10)) @ (res @ ts_a @ Y0)))))))),
% 1.73/0.57 inference(and_proxy_clausification,[],[f14352])).
% 1.73/0.57 thf(f14356,plain,(
% 1.73/0.57 ($true = (((pos @ ts_a) = (pos @ ts))))),
% 1.73/0.57 inference(and_proxy_clausification,[],[f14354])).
% 1.73/0.57 thf(f14357,plain,(
% 1.73/0.57 (((pos @ ts_a)) = ((pos @ ts)))),
% 1.73/0.57 inference(equality_proxy_clausification,[],[f14356])).
% 1.73/0.57 thf(f14373,plain,(
% 1.73/0.57 ( ! [X1 : cars] : ((((pos @ ts_a @ X1)) = ((pos @ ts @ X1)))) )),
% 1.73/0.57 inference(argument_congruence,[],[f14357])).
% 1.73/0.57 thf(f14374,plain,(
% 1.73/0.57 ( ! [X0 : product_unit] : ((((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ v) @ (minus_minus @ real @ (pos @ ts_a @ (own @ product_unit @ v)) @ (pos @ ts3 @ (own @ product_unit @ v)))) @ (lan @ product_unit @ v) @ (own @ product_unit @ v) @ X0)) != ((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ v) @ (minus_minus @ real @ (pos @ ts @ (own @ product_unit @ v)) @ (pos @ ts3 @ (own @ product_unit @ v)))) @ (lan @ product_unit @ v) @ (own @ product_unit @ v) @ X0)))) )),
% 1.73/0.57 inference(constrained_superposition,[],[f1881,f1486])).
% 1.73/0.57 thf(f14376,plain,(
% 1.73/0.57 ( ! [X0 : product_unit] : ((((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ v) @ (minus_minus @ real @ (pos @ ts_a @ (own @ product_unit @ v)) @ (pos @ ts3 @ (own @ product_unit @ v)))) @ (lan @ product_unit @ v) @ (own @ product_unit @ v) @ X0)) != ((view_ext2 @ product_unit @ (real_shift @ (ext @ product_unit @ v) @ (minus_minus @ real @ (pos @ ts_a @ (own @ product_unit @ v)) @ (pos @ ts3 @ (own @ product_unit @ v)))) @ (lan @ product_unit @ v) @ (own @ product_unit @ v) @ X0)))) )),
% 1.73/0.57 inference(constrained_superposition,[],[f14374,f14373])).
% 1.73/0.57 thf(f14377,plain,(
% 1.73/0.57 $false),
% 1.73/0.57 inference(trivial_inequality_removal,[],[f14376])).
% 1.73/0.57 % SZS output end Proof for theBenchmark
% 1.73/0.57 % (1777915)------------------------------
% 1.73/0.57 % (1777915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.57 % (1777915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.57 % (1777915)CaDiCaL version: 2.1.3
% 1.73/0.57 % (1777915)Termination reason: Refutation
% 1.73/0.57 % (1777915)Time elapsed: 0.176 s
% 1.73/0.57 % (1777915)Peak memory usage: 17 MB
% 1.73/0.57 % (1777915)Instructions burned: 433 (million)
% 1.73/0.57 % (1777893)Success in time 0.34 s
% 1.73/0.57 % Vampire exiting
%------------------------------------------------------------------------------