%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP170^2 : 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 : n012.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 1.36s 0.37s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP170^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.06/0.11 % DateTime : Tue Sep 29 20:05:03 UTC 2026
% 0.06/0.11 % CPUTime :
% 0.06/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.13 Running first-order model finding
% 0.06/0.13 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
% 1.36/0.37 % (615695)Will run a generic schedule for satisfiability detection.
% 1.36/0.37 % (615701)% WARNING: option uhcvi not known.
% 1.36/0.37 % (615701)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3989383412:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.36/0.37 % (615703)dis+10_1_sil=32000:sp=arity:random_seed=3509290224:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.36/0.37 % (615706)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=186368618:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.36/0.37 % (615702)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2655811127:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.36/0.37 % (615704)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1516982372:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.36/0.37 % (615700)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2722942325_2999 on theBenchmark for (2999ds/0Mi)
% 1.36/0.37 % (615705)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3307908743:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.36/0.37 % (615701)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.36/0.37 % (615704)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.36/0.37 % (615701)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.36/0.37 % Exception at run slice level
% 1.36/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.36/0.37 % (615703)Instruction limit reached!
% 1.36/0.37 % (615703)------------------------------
% 1.36/0.37 % (615703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615703)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615703)Termination reason: Instruction limit
% 1.36/0.37 % (615703)Termination phase: Saturation
% 1.36/0.37 % (615703)Time elapsed: 0.023 s
% 1.36/0.37 % (615703)Peak memory usage: 12 MB
% 1.36/0.37 % (615703)Instructions burned: 104 (million)
% 1.36/0.37 % (615704)Instruction limit reached!
% 1.36/0.37 % (615704)------------------------------
% 1.36/0.37 % (615704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615704)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615704)Termination reason: Instruction limit
% 1.36/0.37 % (615704)Termination phase: Saturation
% 1.36/0.37 % (615704)Time elapsed: 0.027 s
% 1.36/0.37 % (615704)Peak memory usage: 12 MB
% 1.36/0.37 % (615704)Instructions burned: 117 (million)
% 1.36/0.37 % (615714)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2304145678:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.36/0.37 % (615715)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2146125228:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.36/0.37 % (615716)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=3694962644:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.36/0.37 % (615706)Instruction limit reached!
% 1.36/0.37 % (615706)------------------------------
% 1.36/0.37 % (615706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615706)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615706)Termination reason: Instruction limit
% 1.36/0.37 % (615706)Termination phase: Saturation
% 1.36/0.37 % (615706)Time elapsed: 0.038 s
% 1.36/0.37 % (615706)Peak memory usage: 14 MB
% 1.36/0.37 % (615706)Instructions burned: 162 (million)
% 1.36/0.37 % (615716)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.36/0.37 % (615720)ott-21_1_sil=16000:fs=off:random_seed=1356704828:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.36/0.37 % Exception at run slice level
% 1.36/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.36/0.37 % (615705)Instruction limit reached!
% 1.36/0.37 % (615705)------------------------------
% 1.36/0.37 % (615705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615705)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615705)Termination reason: Instruction limit
% 1.36/0.37 % (615705)Termination phase: Saturation
% 1.36/0.37 % (615705)Time elapsed: 0.057 s
% 1.36/0.37 % (615705)Peak memory usage: 12 MB
% 1.36/0.37 % (615705)Instructions burned: 133 (million)
% 1.36/0.37 % (615716)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.36/0.37 % (615715)Instruction limit reached!
% 1.36/0.37 % (615715)------------------------------
% 1.36/0.37 % (615715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615715)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615715)Termination reason: Instruction limit
% 1.36/0.37 % (615715)Termination phase: Saturation
% 1.36/0.37 % (615715)Time elapsed: 0.031 s
% 1.36/0.37 % (615715)Peak memory usage: 13 MB
% 1.36/0.37 % (615715)Instructions burned: 132 (million)
% 1.36/0.37 % (615722)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=663627766:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 1.36/0.37 % (615723)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3012138325:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 1.36/0.37 % (615724)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3550644147:i=1179_2999 on theBenchmark for (2999ds/1179Mi)
% 1.36/0.37 % Exception at run slice level
% 1.36/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.36/0.37 % (615720)Instruction limit reached!
% 1.36/0.37 % (615720)------------------------------
% 1.36/0.37 % (615720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615720)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615720)Termination reason: Instruction limit
% 1.36/0.37 % (615720)Termination phase: Saturation
% 1.36/0.37 % (615720)Time elapsed: 0.042 s
% 1.36/0.37 % (615720)Peak memory usage: 13 MB
% 1.36/0.37 % (615720)Instructions burned: 183 (million)
% 1.36/0.37 % (615729)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=849783421:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.36/0.37 % (615728)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3142659535:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.36/0.37 % (615729)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.36/0.37 % Exception at run slice level
% 1.36/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.36/0.37 % (615732)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3493130367:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 1.36/0.37 % (615732)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.36/0.37 % (615729) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-615695-615729"...
% 1.36/0.37 % (615729)...printing done.
% 1.36/0.37 % (615729)Refutation found. Thanks to Tanya!
% 1.36/0.37 % SZS status Theorem for theBenchmark
% 1.36/0.37 % SZS output start Proof for theBenchmark
% 1.36/0.37 thf(type_def_5, type, view_ext: $tType > $tType).
% 1.36/0.37 thf(type_def_6, type, product_unit: $tType).
% 1.36/0.37 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 1.36/0.37 thf(type_def_8, type, real_int: $tType).
% 1.36/0.37 thf(type_def_9, type, traffic: $tType).
% 1.36/0.37 thf(type_def_10, type, nat_int: $tType).
% 1.36/0.37 thf(type_def_11, type, real: $tType).
% 1.36/0.37 thf(type_def_12, type, cars: $tType).
% 1.36/0.37 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 1.36/0.37 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_4, type, neg_numeral: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_6, type, group_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_7, type, monoid_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_8, type, linorder: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_9, type, preorder: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_10, type, zero_neq_one: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_11, type, zero_less_one: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_12, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_13, type, linordered_idom: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_14, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_15, type, linordered_field: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_16, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_17, type, linordered_semidom: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_18, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_19, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_20, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_21, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_22, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_23, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_24, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_25, type, ordere1818651114id_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_26, type, strict797366125id_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_27, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_28, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_29, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_30, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_31, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 1.36/0.37 thf(func_def_32, type, unique455577585es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 1.36/0.37 thf(func_def_33, type, one_one: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_34, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.36/0.37 thf(func_def_35, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_36, type, len: ((cars > traffic > cars > real) > view_ext @ product_unit > traffic > cars > real_int)).
% 1.36/0.37 thf(func_def_37, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_38, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_40, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.36/0.37 thf(func_def_41, type, left: (real_int > real)).
% 1.36/0.37 thf(func_def_42, type, real_Abs_real_int: (product_prod @ real @ real > real_int)).
% 1.36/0.37 thf(func_def_43, type, real_length: (real_int > real)).
% 1.36/0.37 thf(func_def_44, type, real_shift: (real_int > real > real_int)).
% 1.36/0.37 thf(func_def_45, type, right: (real_int > real)).
% 1.36/0.37 thf(func_def_46, type, regular_regular: (cars > traffic > cars > real)).
% 1.36/0.37 thf(func_def_47, type, sensors: ((cars > traffic > cars > real) > $o)).
% 1.36/0.37 thf(func_def_48, type, space: ((cars > traffic > cars > real) > traffic > view_ext @ product_unit > cars > real_int)).
% 1.36/0.37 thf(func_def_49, type, abs_traffic: (product_prod @ (cars > real) @ product_prod @ (cars > nat_int) @ product_prod @ (cars > nat_int) @ product_prod @ (cars > real > real) @ product_prod @ (cars > real) @ (cars > real) > traffic)).
% 1.36/0.37 thf(func_def_50, type, physical_size: (traffic > cars > real)).
% 1.36/0.37 thf(func_def_51, type, pos: (traffic > cars > real)).
% 1.36/0.37 thf(func_def_52, type, ext: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 1.36/0.37 thf(func_def_53, type, hchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 1.36/0.37 thf(func_def_54, type, own: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 1.36/0.37 thf(func_def_55, type, c: cars).
% 1.36/0.37 thf(func_def_56, type, cl: (cars > nat_int)).
% 1.36/0.37 thf(func_def_57, type, d: cars).
% 1.36/0.37 thf(func_def_58, type, dy: (cars > real > real)).
% 1.36/0.37 thf(func_def_59, type, po: (cars > real)).
% 1.36/0.37 thf(func_def_60, type, ps: (cars > real)).
% 1.36/0.37 thf(func_def_61, type, re: (cars > nat_int)).
% 1.36/0.37 thf(func_def_62, type, sd: (cars > real)).
% 1.36/0.37 thf(func_def_63, type, ts: traffic).
% 1.36/0.37 thf(func_def_64, type, ts_rep: product_prod @ (cars > real) @ product_prod @ (cars > nat_int) @ product_prod @ (cars > nat_int) @ product_prod @ (cars > real > real) @ product_prod @ (cars > real) @ (cars > real)).
% 1.36/0.37 thf(func_def_65, type, v: view_ext @ product_unit).
% 1.36/0.37 thf(func_def_66, type, v2: view_ext @ product_unit).
% 1.36/0.37 thf(func_def_70, type, vNOT: ($o > $o)).
% 1.36/0.37 thf(func_def_71, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_72, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.36/0.37 thf(func_def_73, type, db3: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_74, type, db0: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_75, type, db1: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_76, type, db2: !>[X0: $tType]:(X0)).
% 1.36/0.37 thf(func_def_77, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.36/0.37 thf(func_def_78, type, vAND: ($o > $o > $o)).
% 1.36/0.37 thf(func_def_79, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.36/0.37 thf(func_def_80, type, vOR: ($o > $o > $o)).
% 1.36/0.37 thf(func_def_81, type, sP0: (view_ext @ product_unit > traffic > cars > $o)).
% 1.36/0.37 thf(func_def_82, type, sP1: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > $o)).
% 1.36/0.37 thf(func_def_83, type, sP2: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > $o)).
% 1.36/0.37 thf(func_def_84, type, sP3: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > $o)).
% 1.36/0.37 thf(func_def_85, type, sP4: (view_ext @ product_unit > $o)).
% 1.36/0.37 thf(func_def_86, type, sP5: (view_ext @ product_unit > (cars > traffic > cars > real) > traffic > cars > $o)).
% 1.36/0.37 thf(func_def_87, type, sP6: (view_ext @ product_unit > $o)).
% 1.36/0.37 thf(func_def_88, type, sP7: (view_ext @ product_unit > real > real > $o)).
% 1.36/0.37 thf(func_def_89, type, sP8: (view_ext @ product_unit > real > real > $o)).
% 1.36/0.37 thf(func_def_90, type, sP9: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 1.36/0.37 thf(func_def_91, type, sP10: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_92, type, sP11: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_93, type, sP12: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_94, type, sP13: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_95, type, sP14: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.37 thf(func_def_96, type, sK15: (cars > real > real)).
% 1.36/0.37 thf(func_def_97, type, sK16: (cars > real)).
% 1.36/0.37 thf(func_def_98, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.36/0.37 thf(func_def_99, type, sK18: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_100, type, sK19: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_101, type, sK20: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_102, type, sK21: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_103, type, sK22: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_104, type, sK23: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_105, type, sK24: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_106, type, sK25: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_107, type, sK26: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_108, type, sK27: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_109, type, sK28: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_110, type, sK29: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_111, type, sK30: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_112, type, sK31: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_113, type, sK32: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_114, type, sK33: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_115, type, sK34: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_116, type, sK35: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_117, type, sK36: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_118, type, sK37: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_119, type, sK38: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_120, type, sK39: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_121, type, sK40: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_122, type, sK41: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_123, type, sK42: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_124, type, sK43: (view_ext @ product_unit > (cars > traffic > cars > real) > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_125, type, sK44: (view_ext @ product_unit > (cars > traffic > cars > real) > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_126, type, sK45: (view_ext @ product_unit > (cars > traffic > cars > real) > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_127, type, sK46: (view_ext @ product_unit > (cars > traffic > cars > real) > traffic > cars > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_128, type, sK47: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_129, type, sK48: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_130, type, sK49: (view_ext @ product_unit > real > real > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_131, type, sK50: (view_ext @ product_unit > real > real > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_132, type, sK51: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.36/0.37 thf(func_def_133, type, sK52: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.36/0.37 thf(func_def_134, type, sK53: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_135, type, sK54: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_136, type, sK55: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_137, type, sK56: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_138, type, sK57: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_139, type, sK58: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_140, type, sK59: (view_ext @ product_unit > real > real > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_141, type, sK60: (view_ext @ product_unit > real > real > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_142, type, sK61: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.36/0.37 thf(func_def_143, type, sK62: !>[X0: $tType]:((X0 > X0))).
% 1.36/0.37 thf(func_def_144, type, sK63: !>[X0: $tType]:((X0 > X0))).
% 1.36/0.37 thf(func_def_145, type, sK64: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.37 thf(func_def_146, type, sK65: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.37 thf(func_def_147, type, sK66: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.37 thf(func_def_148, type, sK67: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.37 thf(func_def_149, type, sK68: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_150, type, sK69: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_151, type, sK70: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_152, type, sK71: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_153, type, sK72: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_154, type, sK73: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_155, type, sK74: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_156, type, sK75: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_157, type, sK76: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_158, type, sK77: (real > real > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_159, type, sK78: (real > real > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_160, type, sK79: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_161, type, sK80: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_162, type, sK81: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_163, type, sK82: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_164, type, sK83: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_165, type, sK84: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_166, type, sK85: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_167, type, sK86: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_168, type, sK87: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_169, type, sK88: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_170, type, sK89: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_171, type, sK90: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_172, type, sK91: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_173, type, sK92: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_174, type, sK93: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_175, type, sK94: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_176, type, sK95: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_177, type, sK96: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_178, type, sK97: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_179, type, sK98: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_180, type, sK99: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_181, type, sK100: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_182, type, sK101: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_183, type, sK102: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_184, type, sK103: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_185, type, sK104: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_186, type, sK105: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_187, type, sK106: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_188, type, sK107: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_189, type, sK108: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_190, type, sK109: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_191, type, sK110: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_192, type, sK111: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_193, type, sK112: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_194, type, sK113: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_195, type, sK114: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_196, type, sK115: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_197, type, sK116: (view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_198, type, sK117: ((traffic > view_ext @ product_unit > $o) > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_199, type, sK118: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_200, type, sK119: ((traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_201, type, sK120: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_202, type, sK121: ((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)).
% 1.36/0.37 thf(func_def_203, type, sK122: ((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)).
% 1.36/0.37 thf(func_def_204, type, sK123: ((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)).
% 1.36/0.37 thf(func_def_205, type, sK124: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_206, type, sK125: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_207, type, sK126: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_208, type, sK127: ((traffic > view_ext @ product_unit > $o) > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > view_ext @ product_unit)).
% 1.36/0.37 thf(func_def_209, type, sK128: ((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)).
% 1.36/0.37 thf(func_def_210, type, sK129: ((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)).
% 1.36/0.37 thf(func_def_211, type, sK130: ((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)).
% 1.36/0.37 thf(func_def_212, type, sK131: ((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)).
% 1.36/0.37 thf(func_def_213, 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)).
% 1.36/0.37 thf(func_def_214, 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)).
% 1.36/0.37 thf(func_def_215, 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)).
% 1.36/0.37 thf(func_def_216, 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)).
% 1.36/0.37 thf(func_def_217, 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)).
% 1.36/0.37 thf(func_def_218, 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)).
% 1.36/0.37 thf(func_def_219, 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)).
% 1.36/0.37 thf(func_def_220, type, sK139: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_221, type, sK140: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_222, type, sK141: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_223, type, sK142: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_224, type, sK143: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_225, type, sK144: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_226, type, sK145: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_227, type, sK146: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_228, type, sK147: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_229, type, sK148: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_230, type, sK149: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_231, type, sK150: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_232, type, sK151: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_233, type, sK152: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_234, type, sK153: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_235, type, sK154: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_236, type, sK155: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_237, type, sK156: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_238, type, sK157: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_239, type, sK158: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_240, type, sK159: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_241, type, sK160: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_242, type, sK161: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_243, type, sK162: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_244, type, sK163: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_245, type, sK164: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_246, type, sK165: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_247, type, sK166: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_248, type, sK167: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_249, type, sK168: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_250, type, sK169: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(func_def_251, type, sK170: ((cars > traffic > cars > real) > traffic)).
% 1.36/0.37 thf(func_def_252, type, sK171: ((cars > traffic > cars > real) > cars)).
% 1.36/0.37 thf(f4,axiom,(
% 1.36/0.37 ! [X0 : view_ext @ product_unit,X1 : traffic,X2 : cars] : ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2))) => ((ord_less @ real @ (left @ (ext @ product_unit @ X0)) @ (right @ (space @ regular_regular @ X1 @ X0 @ X2))) & (ord_less @ real @ (left @ (space @ regular_regular @ X1 @ X0 @ X2)) @ (right @ (ext @ product_unit @ X0)))))),
% 1.36/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_hmlsl_Olen__non__empty__inside)).
% 1.36/0.37 thf(f5,axiom,(
% 1.36/0.37 (ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))),
% 1.36/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_v_H__d)).
% 1.36/0.37 thf(f11,axiom,(
% 1.36/0.37 ! [X0 : traffic,X1 : view_ext @ product_unit,X2 : cars] : (((left @ (space @ regular_regular @ X0 @ X1 @ X2))) = ((pos @ X0 @ X2)))),
% 1.36/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_hmlsl_Oleft__space)).
% 1.36/0.37 thf(f302,conjecture,(
% 1.36/0.37 (ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d))) & (ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))),
% 1.36/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.36/0.37 thf(f303,negated_conjecture,(
% 1.36/0.37 ~((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d))) & (ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v))))),
% 1.36/0.37 inference(negated_conjecture,[status(cth)],[f302])).
% 1.36/0.37 thf(f306,plain,(
% 1.36/0.37 ! [X0 : view_ext @ product_unit,X1 : traffic,X2 : cars] : ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2))) => ((ord_less @ real @ (left @ (ext @ product_unit @ X0)) @ (right @ (space @ regular_regular @ X1 @ X0 @ X2))) & (ord_less @ real @ (left @ (space @ regular_regular @ X1 @ X0 @ X2)) @ (right @ (ext @ product_unit @ X0)))))),
% 1.36/0.37 inference(rectify,[],[f4])).
% 1.36/0.37 thf(f307,plain,(
% 1.36/0.37 ! [X0 : view_ext @ product_unit,X1 : traffic,X2 : cars] : ((((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2)))) = $true) => ((((ord_less @ real @ (left @ (ext @ product_unit @ X0)) @ (right @ (space @ regular_regular @ X1 @ X0 @ X2)))) = $true) & (((ord_less @ real @ (left @ (space @ regular_regular @ X1 @ X0 @ X2)) @ (right @ (ext @ product_unit @ X0)))) = $true)))),
% 1.36/0.37 inference(fool_elimination,[],[f306])).
% 1.36/0.37 thf(f308,plain,(
% 1.36/0.37 (ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))),
% 1.36/0.37 inference(rectify,[],[f5])).
% 1.36/0.37 thf(f309,plain,(
% 1.36/0.37 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) = $true)),
% 1.36/0.37 inference(fool_elimination,[],[f308])).
% 1.36/0.37 thf(f847,plain,(
% 1.36/0.37 ~((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d))) & (ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v))))),
% 1.36/0.37 inference(rectify,[],[f303])).
% 1.36/0.37 thf(f848,plain,(
% 1.36/0.37 ~((((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) = $true) & (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) = $true))),
% 1.36/0.37 inference(fool_elimination,[],[f847])).
% 1.36/0.37 thf(f868,plain,(
% 1.36/0.37 ! [X0 : view_ext @ product_unit,X1 : traffic,X2 : cars] : (((((ord_less @ real @ (left @ (ext @ product_unit @ X0)) @ (right @ (space @ regular_regular @ X1 @ X0 @ X2)))) = $true) & (((ord_less @ real @ (left @ (space @ regular_regular @ X1 @ X0 @ X2)) @ (right @ (ext @ product_unit @ X0)))) = $true)) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2)))) != $true))),
% 1.36/0.37 inference(ennf_transformation,[],[f307])).
% 1.36/0.37 thf(f1151,plain,(
% 1.36/0.37 (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) != $true) | (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) != $true)),
% 1.36/0.37 inference(ennf_transformation,[],[f848])).
% 1.36/0.37 thf(f1242,plain,(
% 1.36/0.37 ( ! [X2 : cars,X0 : view_ext @ product_unit,X1 : traffic] : ((((ord_less @ real @ (left @ (space @ regular_regular @ X1 @ X0 @ X2)) @ (right @ (ext @ product_unit @ X0)))) = $true) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2)))) != $true)) )),
% 1.36/0.37 inference(cnf_transformation,[],[f868])).
% 1.36/0.37 thf(f1243,plain,(
% 1.36/0.37 ( ! [X2 : cars,X0 : view_ext @ product_unit,X1 : traffic] : ((((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2)))) != $true) | (((ord_less @ real @ (left @ (ext @ product_unit @ X0)) @ (right @ (space @ regular_regular @ X1 @ X0 @ X2)))) = $true)) )),
% 1.36/0.37 inference(cnf_transformation,[],[f868])).
% 1.36/0.37 thf(f1244,plain,(
% 1.36/0.37 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) = $true)),
% 1.36/0.37 inference(cnf_transformation,[],[f309])).
% 1.36/0.37 thf(f1251,plain,(
% 1.36/0.37 ( ! [X2 : cars,X0 : traffic,X1 : view_ext @ product_unit] : ((((left @ (space @ regular_regular @ X0 @ X1 @ X2))) = ((pos @ X0 @ X2)))) )),
% 1.36/0.37 inference(cnf_transformation,[],[f11])).
% 1.36/0.37 thf(f1592,plain,(
% 1.36/0.37 (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) != $true) | (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) != $true)),
% 1.36/0.37 inference(cnf_transformation,[],[f1151])).
% 1.36/0.37 thf(f2334,definition,(
% 1.36/0.37 spl172_1 <=> (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) = $true)),
% 1.36/0.37 introduced(definition,[new_symbols(definition,[spl172_1])],[avatar_definition])).
% 1.36/0.37 thf(f2336,plain,(
% 1.36/0.37 (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) != $true) | spl172_1),
% 1.36/0.37 inference(avatar_component_clause,[],[f2334])).
% 1.36/0.37 thf(f2338,definition,(
% 1.36/0.37 spl172_2 <=> (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) = $true)),
% 1.36/0.37 introduced(definition,[new_symbols(definition,[spl172_2])],[avatar_definition])).
% 1.36/0.37 thf(f2340,plain,(
% 1.36/0.37 (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) != $true) | spl172_2),
% 1.36/0.37 inference(avatar_component_clause,[],[f2338])).
% 1.36/0.37 thf(f2341,plain,(
% 1.36/0.37 ~spl172_1 | ~spl172_2),
% 1.36/0.37 inference(avatar_split_clause,[],[f1592,f2338,f2334])).
% 1.36/0.37 thf(f2347,plain,(
% 1.36/0.37 ( ! [X2 : cars,X0 : view_ext @ product_unit,X1 : traffic] : ((((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ X0 @ X1 @ X2)))) != $true) | ($true = ((ord_less @ real @ (pos @ X1 @ X2) @ (right @ (ext @ product_unit @ X0)))))) )),
% 1.36/0.37 inference(forward_demodulation,[],[f1242,f1251])).
% 1.36/0.37 thf(f2348,plain,(
% 1.36/0.37 ($true != ((ord_less @ real @ (pos @ ts @ d) @ (right @ (ext @ product_unit @ v))))) | spl172_1),
% 1.36/0.37 inference(forward_demodulation,[],[f2336,f1251])).
% 1.36/0.37 thf(f3117,plain,(
% 1.36/0.37 ($true != $true) | ($true = ((ord_less @ real @ (pos @ ts @ d) @ (right @ (ext @ product_unit @ v)))))),
% 1.36/0.37 inference(constrained_superposition,[],[f2347,f1244])).
% 1.36/0.37 thf(f3120,plain,(
% 1.36/0.37 ($true = ((ord_less @ real @ (pos @ ts @ d) @ (right @ (ext @ product_unit @ v)))))),
% 1.36/0.37 inference(trivial_inequality_removal,[],[f3117])).
% 1.36/0.37 thf(f3122,plain,(
% 1.36/0.37 $false | spl172_1),
% 1.36/0.37 inference(forward_subsumption_resolution,[],[f3120,f2348])).
% 1.36/0.37 thf(f3123,plain,(
% 1.36/0.37 spl172_1),
% 1.36/0.37 inference(avatar_contradiction_clause,[],[f3122])).
% 1.36/0.37 thf(f3286,plain,(
% 1.36/0.37 ($true != $true) | (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) = $true)),
% 1.36/0.37 inference(constrained_superposition,[],[f1243,f1244])).
% 1.36/0.37 thf(f3289,plain,(
% 1.36/0.37 (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) = $true)),
% 1.36/0.37 inference(trivial_inequality_removal,[],[f3286])).
% 1.36/0.37 thf(f3291,plain,(
% 1.36/0.37 $false | spl172_2),
% 1.36/0.37 inference(forward_subsumption_resolution,[],[f3289,f2340])).
% 1.36/0.37 thf(f3292,plain,(
% 1.36/0.37 spl172_2),
% 1.36/0.37 inference(avatar_contradiction_clause,[],[f3291])).
% 1.36/0.37 cnf(s1, plain, ~spl172_1 | ~spl172_2, inference(sat_conversion,[],[f2341])).
% 1.36/0.37 cnf(s3, plain, spl172_1, inference(sat_conversion,[],[f3123])).
% 1.36/0.37 cnf(s4, plain, spl172_2, inference(sat_conversion,[],[f3292])).
% 1.36/0.37 cnf(s5, plain, $false, inference(rat,[],[s1,s4,s3])).
% 1.36/0.37 thf(f3293,plain,(
% 1.36/0.37 $false),
% 1.36/0.37 inference(avatar_sat_refutation,[],[s5])).
% 1.36/0.37 % SZS output end Proof for theBenchmark
% 1.36/0.37 % (615729)------------------------------
% 1.36/0.37 % (615729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.37 % (615729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.37 % (615729)CaDiCaL version: 2.1.3
% 1.36/0.37 % (615729)Termination reason: Refutation
% 1.36/0.37 % (615729)Time elapsed: 0.084 s
% 1.36/0.37 % (615729)Peak memory usage: 16 MB
% 1.36/0.37 % (615729)Instructions burned: 307 (million)
% 1.36/0.37 % (615695)Success in time 0.229 s
% 1.36/0.37 % Vampire exiting
%------------------------------------------------------------------------------