%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP170^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:08:39 AM UTC 2026
% Result : Theorem 0.45s 0.43s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP170^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:11:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.43 % (1751233)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.45/0.43 % (1751239)lrs+10_16_si=on:nwc=1.5:random_seed=2842627172:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.45/0.43 % (1751239)Instruction limit reached!
% 0.45/0.43 % (1751239)------------------------------
% 0.45/0.43 % (1751239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751239)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751239)Termination reason: Instruction limit
% 0.45/0.43 % (1751239)Termination phase: shuffling
% 0.45/0.43 % (1751239)Time elapsed: 0.005 s
% 0.45/0.43 % (1751239)Peak memory usage: 10 MB
% 0.45/0.43 % (1751239)Instructions burned: 19 (million)
% 0.45/0.43 % (1751238)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2271754183:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.45/0.43 % (1751240)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1550426821:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.45/0.43 % (1751241)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=183321313:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.45/0.43 % (1751240)Instruction limit reached!
% 0.45/0.43 % (1751240)------------------------------
% 0.45/0.43 % (1751240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751240)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751240)Termination reason: Instruction limit
% 0.45/0.43 % (1751240)Termination phase: shuffling
% 0.45/0.43 % (1751240)Time elapsed: 0.004 s
% 0.45/0.43 % (1751240)Peak memory usage: 10 MB
% 0.45/0.43 % (1751240)Instructions burned: 3 (million)
% 0.45/0.43 % (1751243)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4168931952:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.45/0.43 % (1751246)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=711393951:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.45/0.43 % (1751246)Instruction limit reached!
% 0.45/0.43 % (1751246)------------------------------
% 0.45/0.43 % (1751246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751246)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751246)Termination reason: Instruction limit
% 0.45/0.43 % (1751246)Termination phase: shuffling
% 0.45/0.43 % (1751246)Time elapsed: 0.0000 s
% 0.45/0.43 % (1751246)Peak memory usage: 10 MB
% 0.45/0.43 % (1751246)Instructions burned: 2 (million)
% 0.45/0.43 % (1751244)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.45/0.43 % (1751244)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.45/0.43 % (1751242)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4269932720:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.45/0.43 % (1751244)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2155915183:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.45/0.43 % (1751253)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.45/0.43 % (1751253)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1801214096:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.45/0.43 % (1751253)Instruction limit reached!
% 0.45/0.43 % (1751253)------------------------------
% 0.45/0.43 % (1751253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751253)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751253)Termination reason: Instruction limit
% 0.45/0.43 % (1751253)Termination phase: shuffling
% 0.45/0.43 % (1751253)Time elapsed: 0.002 s
% 0.45/0.43 % (1751253)Peak memory usage: 10 MB
% 0.45/0.43 % (1751253)Instructions burned: 10 (million)
% 0.45/0.43 % (1751257)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3707059694:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.45/0.43 % (1751242)Instruction limit reached!
% 0.45/0.43 % (1751242)------------------------------
% 0.45/0.43 % (1751242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751242)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751242)Termination reason: Instruction limit
% 0.45/0.43 % (1751242)Termination phase: Property scanning
% 0.45/0.43 % (1751242)Time elapsed: 0.020 s
% 0.45/0.43 % (1751242)Peak memory usage: 10 MB
% 0.45/0.43 % (1751242)Instructions burned: 24 (million)
% 0.45/0.43 % (1751257)Instruction limit reached!
% 0.45/0.43 % (1751257)------------------------------
% 0.45/0.43 % (1751257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751257)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751257)Termination reason: Instruction limit
% 0.45/0.43 % (1751257)Termination phase: shuffling
% 0.45/0.43 % (1751257)Time elapsed: 0.004 s
% 0.45/0.43 % (1751257)Peak memory usage: 10 MB
% 0.45/0.43 % (1751257)Instructions burned: 15 (million)
% 0.45/0.43 % (1751238)Instruction limit reached!
% 0.45/0.43 % (1751238)------------------------------
% 0.45/0.43 % (1751238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751238)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751238)Termination reason: Instruction limit
% 0.45/0.43 % (1751238)Termination phase: Property scanning
% 0.45/0.43 % (1751238)Time elapsed: 0.041 s
% 0.45/0.43 % (1751238)Peak memory usage: 12 MB
% 0.45/0.43 % (1751238)Instructions burned: 88 (million)
% 0.45/0.43 % (1751251)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1720933648:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.45/0.43 % (1751260)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3877439900:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.45/0.43 % (1751251)Instruction limit reached!
% 0.45/0.43 % (1751251)------------------------------
% 0.45/0.43 % (1751251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751251)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751251)Termination reason: Instruction limit
% 0.45/0.43 % (1751251)Termination phase: shuffling
% 0.45/0.43 % (1751251)Time elapsed: 0.006 s
% 0.45/0.43 % (1751251)Peak memory usage: 10 MB
% 0.45/0.43 % (1751251)Instructions burned: 6 (million)
% 0.45/0.43 % (1751243)Instruction limit reached!
% 0.45/0.43 % (1751243)------------------------------
% 0.45/0.43 % (1751243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751243)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751243)Termination reason: Instruction limit
% 0.45/0.43 % (1751243)Termination phase: Property scanning
% 0.45/0.43 % (1751243)Time elapsed: 0.053 s
% 0.45/0.43 % (1751243)Peak memory usage: 12 MB
% 0.45/0.43 % (1751243)Instructions burned: 76 (million)
% 0.45/0.43 % (1751261)lrs+10_1_si=on:cs=on:random_seed=2126069071:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.45/0.43 % (1751259)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.45/0.43 % (1751259)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.45/0.43 % (1751260)Instruction limit reached!
% 0.45/0.43 % (1751260)------------------------------
% 0.45/0.43 % (1751260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751260)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751260)Termination reason: Instruction limit
% 0.45/0.43 % (1751260)Termination phase: Property scanning
% 0.45/0.43 % (1751260)Time elapsed: 0.020 s
% 0.45/0.43 % (1751260)Peak memory usage: 11 MB
% 0.45/0.43 % (1751260)Instructions burned: 89 (million)
% 0.45/0.43 % (1751264)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.45/0.43 % (1751259)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=892970248:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.45/0.43 % (1751261)Instruction limit reached!
% 0.45/0.43 % (1751261)------------------------------
% 0.45/0.43 % (1751261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751261)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751261)Termination reason: Instruction limit
% 0.45/0.43 % (1751261)Termination phase: shuffling
% 0.45/0.43 % (1751261)Time elapsed: 0.008 s
% 0.45/0.43 % (1751261)Peak memory usage: 10 MB
% 0.45/0.43 % (1751261)Instructions burned: 8 (million)
% 0.45/0.43 % (1751264)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=4099027958:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.45/0.43 % (1751264)Instruction limit reached!
% 0.45/0.43 % (1751264)------------------------------
% 0.45/0.43 % (1751264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751264)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751264)Termination reason: Instruction limit
% 0.45/0.43 % (1751264)Termination phase: shuffling
% 0.45/0.43 % (1751264)Time elapsed: 0.002 s
% 0.45/0.43 % (1751264)Peak memory usage: 10 MB
% 0.45/0.43 % (1751264)Instructions burned: 3 (million)
% 0.45/0.43 % (1751267)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2991906470:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.45/0.43 % (1751265)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2602767811:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.45/0.43 % (1751270)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1254968509:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.45/0.43 % (1751259)Instruction limit reached!
% 0.45/0.43 % (1751259)------------------------------
% 0.45/0.43 % (1751259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.43 % (1751259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.43 % (1751259)CaDiCaL version: 2.1.3
% 0.45/0.43 % (1751259)Termination reason: Instruction limit
% 0.45/0.43 % (1751259)Termination phase: shuffling
% 0.45/0.43 % (1751259)Time elapsed: 0.024 s
% 0.45/0.43 % (1751259)Peak memory usage: 10 MB
% 0.45/0.43 % (1751259)Instructions burned: 29 (million)
% 0.45/0.43 % (1751271)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=273260607:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.45/0.43 % (1751267) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1751233-1751267"...
% 0.45/0.43 % (1751267)...printing done.
% 0.45/0.43 % (1751267)Refutation found. Thanks to Tanya!
% 0.45/0.43 % SZS status Theorem for theBenchmark
% 0.45/0.43 % SZS output start Proof for theBenchmark
% 0.45/0.43 thf(type_def_5, type, view_ext: $tType > $tType).
% 0.45/0.43 thf(type_def_6, type, product_unit: $tType).
% 0.45/0.43 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 0.45/0.43 thf(type_def_8, type, real_int: $tType).
% 0.45/0.43 thf(type_def_9, type, traffic: $tType).
% 0.45/0.43 thf(type_def_10, type, nat_int: $tType).
% 0.45/0.43 thf(type_def_11, type, real: $tType).
% 0.45/0.43 thf(type_def_12, type, cars: $tType).
% 0.45/0.43 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 0.45/0.43 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.45/0.43 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 0.45/0.43 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 0.45/0.43 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.45/0.43 thf(func_def_4, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_6, type, group_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_7, type, monoid_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_8, type, linorder: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_9, type, preorder: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_10, type, zero_neq_one: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_11, type, zero_less_one: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_12, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_13, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_14, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_15, type, linordered_field: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_16, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_17, type, linordered_semidom: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_18, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_19, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_20, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_21, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_22, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_23, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_24, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_25, type, ordere1818651114id_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_26, type, strict797366125id_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_27, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_28, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_29, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_30, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_31, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 0.45/0.44 thf(func_def_32, type, unique455577585es_aux: !>[X0: $tType]:((product_prod @ X0 @ X0 > $o))).
% 0.45/0.44 thf(func_def_33, type, one_one: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_34, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.45/0.44 thf(func_def_35, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_36, type, len: ((cars > traffic > cars > real) > view_ext @ product_unit > traffic > cars > real_int)).
% 0.45/0.44 thf(func_def_37, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_38, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.45/0.44 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.45/0.44 thf(func_def_40, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.45/0.44 thf(func_def_41, type, left: (real_int > real)).
% 0.45/0.44 thf(func_def_42, type, real_Abs_real_int: (product_prod @ real @ real > real_int)).
% 0.45/0.44 thf(func_def_43, type, real_length: (real_int > real)).
% 0.45/0.44 thf(func_def_44, type, real_shift: (real_int > real > real_int)).
% 0.45/0.44 thf(func_def_45, type, right: (real_int > real)).
% 0.45/0.44 thf(func_def_46, type, regular_regular: (cars > traffic > cars > real)).
% 0.45/0.44 thf(func_def_47, type, sensors: ((cars > traffic > cars > real) > $o)).
% 0.45/0.44 thf(func_def_48, type, space: ((cars > traffic > cars > real) > traffic > view_ext @ product_unit > cars > real_int)).
% 0.45/0.44 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)).
% 0.45/0.44 thf(func_def_50, type, physical_size: (traffic > cars > real)).
% 0.45/0.44 thf(func_def_51, type, pos: (traffic > cars > real)).
% 0.45/0.44 thf(func_def_52, type, ext: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 0.45/0.44 thf(func_def_53, type, hchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 0.45/0.44 thf(func_def_54, type, own: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 0.45/0.44 thf(func_def_55, type, c: cars).
% 0.45/0.44 thf(func_def_56, type, cl: (cars > nat_int)).
% 0.45/0.44 thf(func_def_57, type, d: cars).
% 0.45/0.44 thf(func_def_58, type, dy: (cars > real > real)).
% 0.45/0.44 thf(func_def_59, type, po: (cars > real)).
% 0.45/0.44 thf(func_def_60, type, ps: (cars > real)).
% 0.45/0.44 thf(func_def_61, type, re: (cars > nat_int)).
% 0.45/0.44 thf(func_def_62, type, sd: (cars > real)).
% 0.45/0.44 thf(func_def_63, type, ts: traffic).
% 0.45/0.44 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)).
% 0.45/0.44 thf(func_def_65, type, v: view_ext @ product_unit).
% 0.45/0.44 thf(func_def_66, type, v2: view_ext @ product_unit).
% 0.45/0.44 thf(func_def_70, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.45/0.44 thf(func_def_71, type, vNOT: ($o > $o)).
% 0.45/0.44 thf(func_def_72, type, vAND: ($o > $o > $o)).
% 0.45/0.44 thf(func_def_73, type, db0: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_74, type, db1: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_75, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.45/0.44 thf(func_def_76, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.45/0.44 thf(func_def_77, type, vOR: ($o > $o > $o)).
% 0.45/0.44 thf(func_def_78, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.45/0.44 thf(func_def_79, type, db3: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_80, type, db2: !>[X0: $tType]:(X0)).
% 0.45/0.44 thf(func_def_81, type, sK0: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_82, type, sK1: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_83, type, sK2: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_84, type, sK3: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_85, type, sK4: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_86, type, sK5: ((traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_87, type, sK6: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_88, type, sK7: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_89, type, sK8: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.45/0.44 thf(func_def_90, type, sK9: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_91, type, sK10: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_92, type, sK11: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_93, type, sK12: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_94, type, sK13: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_95, type, sK14: (real > real > view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_96, type, sK15: (real > real > view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_97, type, sK16: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_98, type, sK17: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_99, type, sK18: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_100, type, sK19: (view_ext @ product_unit > traffic > cars > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_101, type, sK20: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_102, type, sK21: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_103, type, sK22: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_104, type, sK23: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_105, type, sK24: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_106, type, sK25: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_107, type, sK26: (cars > real > real)).
% 0.45/0.44 thf(func_def_108, type, sK27: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_109, type, sK28: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_110, type, sK29: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_111, type, sK30: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_112, type, sK31: (cars > traffic > view_ext @ product_unit > (cars > traffic > cars > real) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_113, type, sK32: (cars > traffic > view_ext @ product_unit > (cars > traffic > cars > real) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_114, type, sK33: (cars > traffic > view_ext @ product_unit > (cars > traffic > cars > real) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_115, type, sK34: (cars > traffic > view_ext @ product_unit > (cars > traffic > cars > real) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_116, type, sK35: (view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_117, type, sK36: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_118, type, sK37: (view_ext @ product_unit > traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_119, type, sK38: (real > real > view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(func_def_120, type, sK39: (real > real > view_ext @ product_unit > view_ext @ product_unit)).
% 0.45/0.44 thf(f5,axiom,(
% 0.45/0.44 (ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))),
% 0.45/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_v_H__d)).
% 0.45/0.44 thf(f21,axiom,(
% 0.45/0.44 (sensors @ regular_regular)),
% 0.45/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_hmlsl_Osensors__axioms)).
% 0.45/0.44 thf(f25,axiom,(
% 0.45/0.44 ! [X0 : (cars > traffic > cars > real),X3 : cars,X2 : traffic,X1 : view_ext @ product_unit] : ((sensors @ X0) => ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X0 @ X1 @ X2 @ X3))) => ((ord_less @ real @ (left @ (ext @ product_unit @ X1)) @ (right @ (space @ X0 @ X2 @ X1 @ X3))) & (ord_less @ real @ (left @ (space @ X0 @ X2 @ X1 @ X3)) @ (right @ (ext @ product_unit @ X1))))))),
% 0.45/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_sensors_Olen__non__empty__inside)).
% 0.45/0.44 thf(f302,conjecture,(
% 0.45/0.44 (ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v))) & (ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))),
% 0.45/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.45/0.44 thf(f303,negated_conjecture,(
% 0.45/0.44 ~((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v))) & (ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d))))),
% 0.45/0.44 inference(negated_conjecture,[status(cth)],[f302])).
% 0.45/0.44 thf(f545,plain,(
% 0.45/0.44 ~((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v))) & (ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d))))),
% 0.45/0.44 inference(rectify,[],[f303])).
% 0.45/0.44 thf(f546,plain,(
% 0.45/0.44 ~((((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) = $true) & (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) = $true))),
% 0.45/0.44 inference(fool_elimination,[],[f545])).
% 0.45/0.44 thf(f547,plain,(
% 0.45/0.44 (sensors @ regular_regular)),
% 0.45/0.44 inference(rectify,[],[f21])).
% 0.45/0.44 thf(f548,plain,(
% 0.45/0.44 (((sensors @ regular_regular)) = $true)),
% 0.45/0.44 inference(fool_elimination,[],[f547])).
% 0.45/0.44 thf(f675,plain,(
% 0.45/0.44 ! [X0 : (cars > traffic > cars > real),X1 : cars,X2 : traffic,X3 : view_ext @ product_unit] : ((sensors @ X0) => ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X0 @ X3 @ X2 @ X1))) => ((ord_less @ real @ (left @ (ext @ product_unit @ X3)) @ (right @ (space @ X0 @ X2 @ X3 @ X1))) & (ord_less @ real @ (left @ (space @ X0 @ X2 @ X3 @ X1)) @ (right @ (ext @ product_unit @ X3))))))),
% 0.45/0.44 inference(rectify,[],[f25])).
% 0.45/0.44 thf(f676,plain,(
% 0.45/0.44 ! [X2 : traffic,X1 : cars,X3 : view_ext @ product_unit,X0 : (cars > traffic > cars > real)] : ((((sensors @ X0)) = $true) => (($true = ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X0 @ X3 @ X2 @ X1))))) => (($true = ((ord_less @ real @ (left @ (space @ X0 @ X2 @ X3 @ X1)) @ (right @ (ext @ product_unit @ X3))))) & ($true = ((ord_less @ real @ (left @ (ext @ product_unit @ X3)) @ (right @ (space @ X0 @ X2 @ X3 @ X1))))))))),
% 0.45/0.44 inference(fool_elimination,[],[f675])).
% 0.45/0.44 thf(f685,plain,(
% 0.45/0.44 (ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))),
% 0.45/0.44 inference(rectify,[],[f5])).
% 0.45/0.44 thf(f686,plain,(
% 0.45/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) = $true)),
% 0.45/0.44 inference(fool_elimination,[],[f685])).
% 0.45/0.44 thf(f872,plain,(
% 0.45/0.44 ! [X2 : traffic,X1 : cars,X3 : view_ext @ product_unit,X0 : (cars > traffic > cars > real)] : (((($true = ((ord_less @ real @ (left @ (space @ X0 @ X2 @ X3 @ X1)) @ (right @ (ext @ product_unit @ X3))))) & ($true = ((ord_less @ real @ (left @ (ext @ product_unit @ X3)) @ (right @ (space @ X0 @ X2 @ X3 @ X1)))))) | ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X0 @ X3 @ X2 @ X1)))))) | (((sensors @ X0)) != $true))),
% 0.45/0.44 inference(ennf_transformation,[],[f676])).
% 0.45/0.44 thf(f873,plain,(
% 0.45/0.44 ! [X2 : traffic,X0 : (cars > traffic > cars > real),X3 : view_ext @ product_unit,X1 : cars] : (($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X0 @ X3 @ X2 @ X1))))) | (((sensors @ X0)) != $true) | (($true = ((ord_less @ real @ (left @ (space @ X0 @ X2 @ X3 @ X1)) @ (right @ (ext @ product_unit @ X3))))) & ($true = ((ord_less @ real @ (left @ (ext @ product_unit @ X3)) @ (right @ (space @ X0 @ X2 @ X3 @ X1)))))))),
% 0.45/0.44 inference(flattening,[],[f872])).
% 0.45/0.44 thf(f883,plain,(
% 0.45/0.44 (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) != $true) | (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) != $true)),
% 0.45/0.44 inference(ennf_transformation,[],[f546])).
% 0.45/0.44 thf(f946,plain,(
% 0.45/0.44 ! [X0 : traffic,X1 : (cars > traffic > cars > real),X2 : view_ext @ product_unit,X3 : cars] : (($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X1 @ X2 @ X0 @ X3))))) | ($true != ((sensors @ X1))) | (($true = ((ord_less @ real @ (left @ (space @ X1 @ X0 @ X2 @ X3)) @ (right @ (ext @ product_unit @ X2))))) & ($true = ((ord_less @ real @ (left @ (ext @ product_unit @ X2)) @ (right @ (space @ X1 @ X0 @ X2 @ X3)))))))),
% 0.45/0.44 inference(rectify,[],[f873])).
% 0.45/0.44 thf(f1019,plain,(
% 0.45/0.44 ( ! [X2 : view_ext @ product_unit,X3 : cars,X0 : traffic,X1 : (cars > traffic > cars > real)] : (($true = ((ord_less @ real @ (left @ (ext @ product_unit @ X2)) @ (right @ (space @ X1 @ X0 @ X2 @ X3))))) | ($true != ((sensors @ X1))) | ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X1 @ X2 @ X0 @ X3)))))) )),
% 0.45/0.44 inference(cnf_transformation,[],[f946])).
% 0.45/0.44 thf(f1020,plain,(
% 0.45/0.44 ( ! [X2 : view_ext @ product_unit,X3 : cars,X0 : traffic,X1 : (cars > traffic > cars > real)] : (($true = ((ord_less @ real @ (left @ (space @ X1 @ X0 @ X2 @ X3)) @ (right @ (ext @ product_unit @ X2))))) | ($true != ((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ X1 @ X2 @ X0 @ X3))))) | ($true != ((sensors @ X1)))) )),
% 0.45/0.44 inference(cnf_transformation,[],[f946])).
% 0.45/0.44 thf(f1058,plain,(
% 0.45/0.44 (((sensors @ regular_regular)) = $true)),
% 0.45/0.44 inference(cnf_transformation,[],[f548])).
% 0.45/0.44 thf(f1070,plain,(
% 0.45/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) = $true)),
% 0.45/0.44 inference(cnf_transformation,[],[f686])).
% 0.45/0.44 thf(f1089,plain,(
% 0.45/0.44 (((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)),
% 0.45/0.44 inference(cnf_transformation,[],[f883])).
% 0.45/0.44 thf(f1121,definition,(
% 0.45/0.44 spl40_1 <=> (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) = $true)),
% 0.45/0.44 introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition])).
% 0.45/0.44 thf(f1123,plain,(
% 0.45/0.44 (((ord_less @ real @ (left @ (ext @ product_unit @ v)) @ (right @ (space @ regular_regular @ ts @ v @ d)))) != $true) | spl40_1),
% 0.45/0.44 inference(avatar_component_clause,[],[f1121])).
% 0.45/0.44 thf(f1125,definition,(
% 0.45/0.44 spl40_2 <=> (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) = $true)),
% 0.45/0.44 introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition])).
% 0.45/0.44 thf(f1127,plain,(
% 0.45/0.44 (((ord_less @ real @ (left @ (space @ regular_regular @ ts @ v @ d)) @ (right @ (ext @ product_unit @ v)))) != $true) | spl40_2),
% 0.45/0.44 inference(avatar_component_clause,[],[f1125])).
% 0.45/0.44 thf(f1128,plain,(
% 0.45/0.44 ~spl40_1 | ~spl40_2),
% 0.45/0.44 inference(avatar_split_clause,[],[f1089,f1125,f1121])).
% 0.45/0.44 thf(f1131,plain,(
% 0.45/0.44 ($true != $true) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) != $true) | (((sensors @ regular_regular)) != $true) | spl40_1),
% 0.45/0.44 inference(superposition,[],[f1123,f1019])).
% 0.45/0.44 thf(f1134,plain,(
% 0.45/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) != $true) | (((sensors @ regular_regular)) != $true) | spl40_1),
% 0.45/0.44 inference(trivial_inequality_removal,[],[f1131])).
% 0.45/0.44 thf(f1137,plain,(
% 0.45/0.44 (((sensors @ regular_regular)) != $true) | spl40_1),
% 0.45/0.44 inference(forward_subsumption_resolution,[],[f1134,f1070])).
% 0.45/0.44 thf(f1140,plain,(
% 0.45/0.44 $false | spl40_1),
% 0.45/0.44 inference(forward_subsumption_resolution,[],[f1137,f1058])).
% 0.45/0.44 thf(f1141,plain,(
% 0.45/0.44 spl40_1),
% 0.45/0.44 inference(avatar_contradiction_clause,[],[f1140])).
% 0.45/0.44 thf(f1147,plain,(
% 0.45/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) != $true) | (((sensors @ regular_regular)) != $true) | ($true != $true) | spl40_2),
% 0.45/0.44 inference(superposition,[],[f1127,f1020])).
% 0.45/0.44 thf(f1149,plain,(
% 0.45/0.44 (((sensors @ regular_regular)) != $true) | (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) != $true) | spl40_2),
% 0.45/0.44 inference(trivial_inequality_removal,[],[f1147])).
% 0.45/0.44 thf(f1152,plain,(
% 0.45/0.44 (((ord_less @ real @ zero_zero @ real @ (real_length @ (len @ regular_regular @ v @ ts @ d)))) != $true) | spl40_2),
% 0.45/0.44 inference(forward_subsumption_resolution,[],[f1149,f1058])).
% 0.45/0.44 thf(f1155,plain,(
% 0.45/0.44 $false | spl40_2),
% 0.45/0.44 inference(forward_subsumption_resolution,[],[f1152,f1070])).
% 0.45/0.44 thf(f1156,plain,(
% 0.45/0.44 spl40_2),
% 0.45/0.44 inference(avatar_contradiction_clause,[],[f1155])).
% 0.45/0.44 cnf(s1, plain, ~spl40_1 | ~spl40_2, inference(sat_conversion,[],[f1128])).
% 0.45/0.44 cnf(s3, plain, spl40_1, inference(sat_conversion,[],[f1141])).
% 0.45/0.44 cnf(s5, plain, spl40_2, inference(sat_conversion,[],[f1156])).
% 0.45/0.44 cnf(s6, plain, $false, inference(rat,[],[s1,s5,s3])).
% 0.45/0.44 thf(f1157,plain,(
% 0.45/0.44 $false),
% 0.45/0.44 inference(avatar_sat_refutation,[],[s6])).
% 0.45/0.44 % SZS output end Proof for theBenchmark
% 0.45/0.44 % (1751267)------------------------------
% 0.45/0.44 % (1751267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.44 % (1751267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.44 % (1751267)CaDiCaL version: 2.1.3
% 0.45/0.44 % (1751267)Termination reason: Refutation
% 0.45/0.44 % (1751267)Time elapsed: 0.022 s
% 0.45/0.44 % (1751267)Peak memory usage: 14 MB
% 0.45/0.44 % (1751267)Instructions burned: 85 (million)
% 0.45/0.44 % (1751233)Success in time 0.154 s
% 0.45/0.44 % Vampire exiting
%------------------------------------------------------------------------------