TSTP Solution File: ITP147^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP147^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:34:02 EDT 2024

% Result   : Theorem 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP147^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 16:20:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH1_THM_EQU_NAR problem
% 0.15/0.36  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.40  % (26052)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40  % (26053)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.40  % (26054)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.40  % (26055)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40  % (26056)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40  % (26057)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.40  % (26058)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40  % (26059)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40  % (26055)Instruction limit reached!
% 0.22/0.40  % (26055)------------------------------
% 0.22/0.40  % (26055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (26055)Termination reason: Unknown
% 0.22/0.40  % (26056)Instruction limit reached!
% 0.22/0.40  % (26056)------------------------------
% 0.22/0.40  % (26056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (26056)Termination reason: Unknown
% 0.22/0.40  % (26056)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (26056)Memory used [KB]: 1279
% 0.22/0.40  % (26056)Time elapsed: 0.004 s
% 0.22/0.40  % (26056)Instructions burned: 3 (million)
% 0.22/0.40  % (26056)------------------------------
% 0.22/0.40  % (26056)------------------------------
% 0.22/0.40  % (26055)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (26055)Memory used [KB]: 1279
% 0.22/0.40  % (26055)Time elapsed: 0.004 s
% 0.22/0.40  % (26055)Instructions burned: 2 (million)
% 0.22/0.40  % (26055)------------------------------
% 0.22/0.40  % (26055)------------------------------
% 0.22/0.40  % (26059)Instruction limit reached!
% 0.22/0.40  % (26059)------------------------------
% 0.22/0.40  % (26059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (26059)Termination reason: Unknown
% 0.22/0.40  % (26059)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (26059)Memory used [KB]: 1279
% 0.22/0.40  % (26059)Time elapsed: 0.004 s
% 0.22/0.40  % (26059)Instructions burned: 3 (million)
% 0.22/0.40  % (26059)------------------------------
% 0.22/0.40  % (26059)------------------------------
% 0.22/0.40  % (26053)Instruction limit reached!
% 0.22/0.40  % (26053)------------------------------
% 0.22/0.40  % (26053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40  % (26053)Termination reason: Unknown
% 0.22/0.40  % (26053)Termination phase: shuffling
% 0.22/0.40  
% 0.22/0.40  % (26053)Memory used [KB]: 1407
% 0.22/0.40  % (26053)Time elapsed: 0.004 s
% 0.22/0.40  % (26053)Instructions burned: 4 (million)
% 0.22/0.40  % (26053)------------------------------
% 0.22/0.40  % (26053)------------------------------
% 0.22/0.41  % (26058)Instruction limit reached!
% 0.22/0.41  % (26058)------------------------------
% 0.22/0.41  % (26058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (26058)Termination reason: Unknown
% 0.22/0.41  % (26058)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (26058)Memory used [KB]: 1535
% 0.22/0.41  % (26058)Time elapsed: 0.015 s
% 0.22/0.41  % (26058)Instructions burned: 19 (million)
% 0.22/0.41  % (26058)------------------------------
% 0.22/0.41  % (26058)------------------------------
% 0.22/0.42  % (26060)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.42  % (26062)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42  % (26061)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42  % (26054)Instruction limit reached!
% 0.22/0.42  % (26054)------------------------------
% 0.22/0.42  % (26054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (26054)Termination reason: Unknown
% 0.22/0.42  % (26054)Termination phase: Property scanning
% 0.22/0.42  
% 0.22/0.42  % (26054)Memory used [KB]: 1663
% 0.22/0.42  % (26054)Time elapsed: 0.019 s
% 0.22/0.42  % (26054)Instructions burned: 27 (million)
% 0.22/0.42  % (26063)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42  % (26054)------------------------------
% 0.22/0.42  % (26054)------------------------------
% 0.22/0.42  % (26062)Instruction limit reached!
% 0.22/0.42  % (26062)------------------------------
% 0.22/0.42  % (26062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (26062)Termination reason: Unknown
% 0.22/0.42  % (26062)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (26062)Memory used [KB]: 1279
% 0.22/0.42  % (26062)Time elapsed: 0.004 s
% 0.22/0.42  % (26062)Instructions burned: 3 (million)
% 0.22/0.42  % (26062)------------------------------
% 0.22/0.42  % (26062)------------------------------
% 0.22/0.43  % (26061)Instruction limit reached!
% 0.22/0.43  % (26061)------------------------------
% 0.22/0.43  % (26061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (26061)Termination reason: Unknown
% 0.22/0.43  % (26061)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (26061)Memory used [KB]: 1535
% 0.22/0.43  % (26061)Time elapsed: 0.012 s
% 0.22/0.43  % (26061)Instructions burned: 15 (million)
% 0.22/0.43  % (26061)------------------------------
% 0.22/0.43  % (26061)------------------------------
% 0.22/0.43  % (26064)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43  % (26065)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43  % (26064)Instruction limit reached!
% 0.22/0.43  % (26064)------------------------------
% 0.22/0.43  % (26064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (26064)Termination reason: Unknown
% 0.22/0.43  % (26064)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (26064)Memory used [KB]: 1407
% 0.22/0.43  % (26064)Time elapsed: 0.007 s
% 0.22/0.43  % (26064)Instructions burned: 7 (million)
% 0.22/0.43  % (26064)------------------------------
% 0.22/0.43  % (26064)------------------------------
% 0.22/0.43  % (26066)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44  % (26066)Instruction limit reached!
% 0.22/0.44  % (26066)------------------------------
% 0.22/0.44  % (26066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (26066)Termination reason: Unknown
% 0.22/0.44  % (26066)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (26066)Memory used [KB]: 1279
% 0.22/0.44  % (26066)Time elapsed: 0.004 s
% 0.22/0.44  % (26066)Instructions burned: 3 (million)
% 0.22/0.44  % (26066)------------------------------
% 0.22/0.44  % (26066)------------------------------
% 0.22/0.44  % (26060)Instruction limit reached!
% 0.22/0.44  % (26060)------------------------------
% 0.22/0.44  % (26060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (26060)Termination reason: Unknown
% 0.22/0.44  % (26060)Termination phase: Property scanning
% 0.22/0.44  
% 0.22/0.44  % (26060)Memory used [KB]: 2046
% 0.22/0.44  % (26060)Time elapsed: 0.022 s
% 0.22/0.44  % (26060)Instructions burned: 38 (million)
% 0.22/0.44  % (26060)------------------------------
% 0.22/0.44  % (26060)------------------------------
% 0.22/0.44  % (26067)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44  % (26067)Instruction limit reached!
% 0.22/0.44  % (26067)------------------------------
% 0.22/0.44  % (26067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (26067)Termination reason: Unknown
% 0.22/0.44  % (26067)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (26067)Memory used [KB]: 1279
% 0.22/0.44  % (26067)Time elapsed: 0.004 s
% 0.22/0.44  % (26067)Instructions burned: 3 (million)
% 0.22/0.44  % (26067)------------------------------
% 0.22/0.44  % (26067)------------------------------
% 0.22/0.44  % (26065)Instruction limit reached!
% 0.22/0.44  % (26065)------------------------------
% 0.22/0.44  % (26065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (26065)Termination reason: Unknown
% 0.22/0.44  % (26065)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (26065)Memory used [KB]: 1535
% 0.22/0.44  % (26065)Time elapsed: 0.014 s
% 0.22/0.44  % (26065)Instructions burned: 16 (million)
% 0.22/0.44  % (26065)------------------------------
% 0.22/0.44  % (26065)------------------------------
% 0.22/0.45  % (26068)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45  % (26069)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45  % (26070)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45  % (26069)Instruction limit reached!
% 0.22/0.45  % (26069)------------------------------
% 0.22/0.45  % (26069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (26069)Termination reason: Unknown
% 0.22/0.45  % (26069)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (26069)Memory used [KB]: 1279
% 0.22/0.45  % (26069)Time elapsed: 0.004 s
% 0.22/0.45  % (26069)Instructions burned: 3 (million)
% 0.22/0.45  % (26069)------------------------------
% 0.22/0.45  % (26069)------------------------------
% 0.22/0.45  % (26070)Instruction limit reached!
% 0.22/0.45  % (26070)------------------------------
% 0.22/0.45  % (26070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (26070)Termination reason: Unknown
% 0.22/0.45  % (26070)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (26070)Memory used [KB]: 1279
% 0.22/0.45  % (26070)Time elapsed: 0.005 s
% 0.22/0.45  % (26070)Instructions burned: 4 (million)
% 0.22/0.45  % (26070)------------------------------
% 0.22/0.45  % (26070)------------------------------
% 0.22/0.45  % (26068)Instruction limit reached!
% 0.22/0.45  % (26068)------------------------------
% 0.22/0.45  % (26068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (26068)Termination reason: Unknown
% 0.22/0.45  % (26068)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (26068)Memory used [KB]: 1407
% 0.22/0.45  % (26068)Time elapsed: 0.008 s
% 0.22/0.45  % (26068)Instructions burned: 7 (million)
% 0.22/0.45  % (26068)------------------------------
% 0.22/0.45  % (26068)------------------------------
% 0.22/0.46  % (26072)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46  % (26073)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.47  % (26057)First to succeed.
% 0.22/0.47  % (26077)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.47  % (26079)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47  % (26072)Instruction limit reached!
% 0.22/0.47  % (26072)------------------------------
% 0.22/0.47  % (26072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (26072)Termination reason: Unknown
% 0.22/0.47  % (26072)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (26072)Memory used [KB]: 1535
% 0.22/0.47  % (26072)Time elapsed: 0.014 s
% 0.22/0.47  % (26072)Instructions burned: 19 (million)
% 0.22/0.47  % (26072)------------------------------
% 0.22/0.47  % (26072)------------------------------
% 0.22/0.47  % (26078)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.47  % (26057)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Theorem for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% 0.22/0.47  thf(type_def_5, type, real: $tType).
% 0.22/0.47  thf(type_def_6, type, set: ($tType) > $tType).
% 0.22/0.47  thf(type_def_8, type, a: $tType).
% 0.22/0.47  thf(func_def_0, type, real: $tType).
% 0.22/0.47  thf(func_def_1, type, set: ($tType) > $tType).
% 0.22/0.47  thf(func_def_2, type, a: $tType).
% 0.22/0.47  thf(func_def_3, type, finite_finite: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_4, type, countable: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_5, type, one: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_6, type, zero: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_7, type, abs_if: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_8, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_9, type, group_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_10, type, monoid_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_11, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_12, type, zero_neq_one: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_13, type, ab_group_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_14, type, zero_less_one: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_15, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_16, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_17, type, linordered_ring: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_18, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_19, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_20, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_21, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_22, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_23, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_24, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_25, type, ordere142940540dd_abs: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_26, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_27, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_28, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_29, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_30, type, ordere1818651114id_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_31, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_32, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_33, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_34, type, execut510477386_space: !>[X0: $tType]:($o)).
% 0.22/0.47  thf(func_def_35, type, elemen1815086676c_ball: !>[X0: $tType]:(X0 > real > set @ X0)).
% 0.22/0.47  thf(func_def_36, type, auto_l1112008849e_ivl0: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > set @ real)).
% 0.22/0.47  thf(func_def_37, type, auto_ll_on_flow0: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > real > X0)).
% 0.22/0.47  thf(func_def_38, type, abs_abs: !>[X0: $tType]:(X0 > X0)).
% 0.22/0.47  thf(func_def_39, type, one_one: !>[X0: $tType]:(X0)).
% 0.22/0.47  thf(func_def_40, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.47  thf(func_def_41, type, uminus_uminus: !>[X0: $tType]:(X0 > X0)).
% 0.22/0.47  thf(func_def_42, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.22/0.47  thf(func_def_43, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.22/0.47  thf(func_def_44, type, initia826609931terval: set @ real > $o).
% 0.22/0.47  thf(func_def_45, type, limit_1335059408_point: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_46, type, limit_1052139091_point: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_47, type, line_open_segment: !>[X0: $tType]:(X0 > X0 > set @ X0)).
% 0.22/0.47  thf(func_def_48, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.22/0.47  thf(func_def_49, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_50, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_51, type, top_top: !>[X0: $tType]:(X0)).
% 0.22/0.47  thf(func_def_52, type, period385816147_orbit: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_53, type, period1153813292period: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > real)).
% 0.22/0.47  thf(func_def_54, type, period862636932_orbit: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_55, type, poinca272511729egment: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > X0 > $o)).
% 0.22/0.47  thf(func_def_56, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.47  thf(func_def_57, type, topolo2071040574ous_on: !>[X0: $tType, X1: $tType]:(set @ X0 > (X0 > X1) > $o)).
% 0.22/0.47  thf(func_def_58, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.47  thf(func_def_59, type, x: set @ a).
% 0.22/0.47  thf(func_def_60, type, a2: a).
% 0.22/0.47  thf(func_def_61, type, b: a).
% 0.22/0.47  thf(func_def_62, type, f: a > a).
% 0.22/0.47  thf(func_def_63, type, p: a).
% 0.22/0.47  thf(func_def_65, type, x2: a).
% 0.22/0.47  thf(func_def_75, type, sK0: (a > a) > set @ a > a).
% 0.22/0.47  thf(func_def_76, type, sK1: a > a).
% 0.22/0.47  thf(func_def_77, type, sK2: a > a).
% 0.22/0.47  thf(func_def_78, type, sK3: (a > a) > set @ a > a).
% 0.22/0.47  thf(func_def_79, type, sK4: (a > real) > real > a).
% 0.22/0.47  thf(func_def_80, type, sK5: (a > real) > real > a).
% 0.22/0.47  thf(func_def_81, type, sK6: (a > real) > real > a).
% 0.22/0.47  thf(func_def_82, type, sK7: (a > real) > real > a).
% 0.22/0.47  thf(func_def_83, type, sK8: real).
% 0.22/0.47  thf(func_def_84, type, sK9: a > real).
% 0.22/0.47  thf(func_def_85, type, sK10: real > a > a > a > real).
% 0.22/0.47  thf(func_def_86, type, sK11: real > a > a > a > a > real).
% 0.22/0.47  thf(func_def_87, type, sK12: a > a).
% 0.22/0.47  thf(func_def_88, type, sK13: a > a).
% 0.22/0.47  thf(func_def_89, type, sK14: (a > a) > set @ a > a).
% 0.22/0.47  thf(func_def_90, type, sK15: (a > a) > set @ a > a).
% 0.22/0.47  thf(func_def_91, type, sK16: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.47  thf(func_def_93, type, ph18: !>[X0: $tType]:(X0)).
% 0.22/0.47  thf(f1232,plain,(
% 0.22/0.47    $false),
% 0.22/0.47    inference(avatar_sat_refutation,[],[f1136,f1140,f1141,f1145,f1149,f1231])).
% 0.22/0.47  thf(f1231,plain,(
% 0.22/0.47    ~spl17_1 | ~spl17_3 | ~spl17_4 | ~spl17_5),
% 0.22/0.47    inference(avatar_contradiction_clause,[],[f1230])).
% 0.22/0.47  thf(f1230,plain,(
% 0.22/0.47    $false | (~spl17_1 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1229,f1091])).
% 0.22/0.47  thf(f1091,plain,(
% 0.22/0.47    ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) = $true)),
% 0.22/0.47    inference(cnf_transformation,[],[f1035])).
% 0.22/0.47  thf(f1035,plain,(
% 0.22/0.47    ((ord_less @ real @ zero_zero @ real @ sK8) = $true) & (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (sK9 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) = $true) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) = $true) & (zero_zero @ real = (sK9 @ p)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ X3)) @ one_one @ real) = $true)))),
% 0.22/0.47    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f1004,f1034,f1033])).
% 0.22/0.47  thf(f1033,plain,(
% 0.22/0.47    ? [X0 : real] : (((ord_less @ real @ zero_zero @ real @ X0) = $true) & ? [X1 : a > real] : (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) & (zero_zero @ real = (X1 @ p)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) = $true)))) => (((ord_less @ real @ zero_zero @ real @ sK8) = $true) & ? [X1 : a > real] : (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) & ($true = (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X1)) & ($true = (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X1)) & (zero_zero @ real = (X1 @ p)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) = $true))))),
% 0.22/0.47    introduced(choice_axiom,[])).
% 0.22/0.47  thf(f1034,plain,(
% 0.22/0.47    ? [X1 : a > real] : (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) & ($true = (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X1)) & ($true = (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X1)) & (zero_zero @ real = (X1 @ p)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) = $true))) => (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (sK9 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) = $true) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) = $true) & (zero_zero @ real = (sK9 @ p)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ X3)) @ one_one @ real) = $true)))),
% 0.22/0.47    introduced(choice_axiom,[])).
% 0.22/0.47  thf(f1004,plain,(
% 0.22/0.47    ? [X0 : real] : (((ord_less @ real @ zero_zero @ real @ X0) = $true) & ? [X1 : a > real] : (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) & (zero_zero @ real = (X1 @ p)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) = $true))))),
% 0.22/0.47    inference(flattening,[],[f1003])).
% 0.22/0.47  thf(f1003,plain,(
% 0.22/0.47    ? [X0 : real] : (? [X1 : a > real] : (((((zero_zero @ real = (X1 @ p)) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true)) & ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) = $true))) & ! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true))) & ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true)) & ((ord_less @ real @ zero_zero @ real @ X0) = $true))),
% 0.22/0.47    inference(ennf_transformation,[],[f822])).
% 0.22/0.47  thf(f822,plain,(
% 0.22/0.47    ~! [X0 : real] : (((ord_less @ real @ zero_zero @ real @ X0) = $true) => ! [X1 : a > real] : (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) => (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) => ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true)) => (! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) => ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) = $true)) => (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) => (zero_zero @ real != (X1 @ p)))))))),
% 0.22/0.47    inference(fool_elimination,[],[f821])).
% 0.22/0.47  thf(f821,plain,(
% 0.22/0.47    ~! [X0 : real] : ((ord_less @ real @ zero_zero @ real @ X0) => ! [X1 : a > real] : ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) => (! [X2 : a] : ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) => (member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b))) => (! [X3 : a] : ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) => (ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real)) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) => (zero_zero @ real != (X1 @ p)))))))),
% 0.22/0.47    inference(rectify,[],[f4])).
% 0.22/0.47  thf(f4,axiom,(
% 0.22/0.47    ~! [X6 : real] : ((ord_less @ real @ zero_zero @ real @ X6) => ! [X7 : a > real] : ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X6) @ X7) => (! [X8 : a] : ((member @ a @ X8 @ (elemen1815086676c_ball @ a @ p @ X6)) => (member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X8 @ (X7 @ X8)) @ (line_open_segment @ a @ a2 @ b))) => (! [X8 : a] : ((member @ a @ X8 @ (elemen1815086676c_ball @ a @ p @ X6)) => (ord_less @ real @ (abs_abs @ real @ (X7 @ X8)) @ one_one @ real)) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X6) @ X7) => (zero_zero @ real != (X7 @ p)))))))),
% 0.22/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)).
% 0.22/0.47  thf(f1229,plain,(
% 0.22/0.47    ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | (~spl17_1 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1228,f1090])).
% 0.22/0.47  thf(f1090,plain,(
% 0.22/0.47    (zero_zero @ real = (sK9 @ p))),
% 0.22/0.47    inference(cnf_transformation,[],[f1035])).
% 0.22/0.47  thf(f1228,plain,(
% 0.22/0.47    (zero_zero @ real != (sK9 @ p)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | (~spl17_1 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1227,f1207])).
% 0.22/0.47  thf(f1207,plain,(
% 0.22/0.47    ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | (~spl17_1 | ~spl17_3)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1206,f1094])).
% 0.22/0.47  thf(f1094,plain,(
% 0.22/0.47    ((ord_less @ real @ zero_zero @ real @ sK8) = $true)),
% 0.22/0.47    inference(cnf_transformation,[],[f1035])).
% 0.22/0.47  thf(f1206,plain,(
% 0.22/0.47    ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | (~spl17_1 | ~spl17_3)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1205,f1090])).
% 0.22/0.47  thf(f1205,plain,(
% 0.22/0.47    ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | (zero_zero @ real != (sK9 @ p)) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | (~spl17_1 | ~spl17_3)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1204,f1091])).
% 0.22/0.47  thf(f1204,plain,(
% 0.22/0.47    ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | (zero_zero @ real != (sK9 @ p)) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | (~spl17_1 | ~spl17_3)),
% 0.22/0.47    inference(trivial_inequality_removal,[],[f1203])).
% 0.22/0.47  thf(f1203,plain,(
% 0.22/0.47    ($true != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | (zero_zero @ real != (sK9 @ p)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | (~spl17_1 | ~spl17_3)),
% 0.22/0.47    inference(duplicate_literal_removal,[],[f1200])).
% 0.22/0.47  thf(f1200,plain,(
% 0.22/0.47    ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) != $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | ($true != $true) | (zero_zero @ real != (sK9 @ p)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | (~spl17_1 | ~spl17_3)),
% 0.22/0.47    inference(superposition,[],[f1167,f1139])).
% 0.22/0.47  thf(f1139,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : (((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | (zero_zero @ real != (X1 @ p)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true)) ) | ~spl17_3),
% 0.22/0.47    inference(avatar_component_clause,[],[f1138])).
% 0.22/0.47  thf(f1138,plain,(
% 0.22/0.47    spl17_3 <=> ! [X0 : real,X1 : a > real] : (((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | (zero_zero @ real != (X1 @ p)) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true))),
% 0.22/0.47    introduced(avatar_definition,[new_symbols(naming,[spl17_3])])).
% 0.22/0.47  thf(f1167,plain,(
% 0.22/0.47    ( ! [X0 : real] : (((member @ a @ (sK4 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK9)) | ($true != (ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ X0))) @ one_one @ real)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true)) ) | ~spl17_1),
% 0.22/0.47    inference(subsumption_resolution,[],[f1166,f1090])).
% 0.22/0.47  thf(f1166,plain,(
% 0.22/0.47    ( ! [X0 : real] : (($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK9)) | ((member @ a @ (sK4 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ($true != (ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ X0))) @ one_one @ real)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (sK9 @ p))) ) | ~spl17_1),
% 0.22/0.47    inference(trivial_inequality_removal,[],[f1161])).
% 0.22/0.47  thf(f1161,plain,(
% 0.22/0.47    ( ! [X0 : real] : (($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK9)) | (zero_zero @ real != (sK9 @ p)) | ((member @ a @ (sK4 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ($true != (ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ X0))) @ one_one @ real)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ($true != $true)) ) | ~spl17_1),
% 0.22/0.47    inference(superposition,[],[f1131,f1093])).
% 0.22/0.47  thf(f1093,plain,(
% 0.22/0.47    ( ! [X2 : a] : (((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (sK9 @ X2)) @ (line_open_segment @ a @ a2 @ b)) = $true) | ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true)) )),
% 0.22/0.47    inference(cnf_transformation,[],[f1035])).
% 0.22/0.47  thf(f1131,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : (((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true) | (zero_zero @ real != (X1 @ p)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true)) ) | ~spl17_1),
% 0.22/0.47    inference(avatar_component_clause,[],[f1130])).
% 0.22/0.47  thf(f1130,plain,(
% 0.22/0.47    spl17_1 <=> ! [X0 : real,X1 : a > real] : (((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true) | (zero_zero @ real != (X1 @ p)) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true))),
% 0.22/0.47    introduced(avatar_definition,[new_symbols(naming,[spl17_1])])).
% 0.22/0.47  thf(f1227,plain,(
% 0.22/0.47    ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) = $true) | (zero_zero @ real != (sK9 @ p)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | (~spl17_1 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 0.22/0.47    inference(trivial_inequality_removal,[],[f1224])).
% 0.22/0.47  thf(f1224,plain,(
% 0.22/0.47    (zero_zero @ real != (sK9 @ p)) | ($true != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) = $true) | (~spl17_1 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 0.22/0.47    inference(superposition,[],[f1212,f1155])).
% 0.22/0.47  thf(f1155,plain,(
% 0.22/0.47    ( ! [X0 : a > real] : (((member @ a @ (sK4 @ X0 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) = $true) | (zero_zero @ real != (X0 @ p)) | ($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X0)) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ X0 @ sK8))) @ one_one @ real) = $true)) ) | ~spl17_5),
% 0.22/0.47    inference(subsumption_resolution,[],[f1154,f1094])).
% 0.22/0.47  thf(f1154,plain,(
% 0.22/0.47    ( ! [X0 : a > real] : (($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X0)) | ((member @ a @ (sK4 @ X0 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) = $true) | (zero_zero @ real != (X0 @ p)) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ X0 @ sK8))) @ one_one @ real) = $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true)) ) | ~spl17_5),
% 0.22/0.47    inference(trivial_inequality_removal,[],[f1153])).
% 0.22/0.47  thf(f1153,plain,(
% 0.22/0.47    ( ! [X0 : a > real] : (((member @ a @ (sK4 @ X0 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) = $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | (zero_zero @ real != (X0 @ p)) | ($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ X0)) | ($true != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ X0 @ sK8))) @ one_one @ real) = $true)) ) | ~spl17_5),
% 0.22/0.47    inference(superposition,[],[f1089,f1148])).
% 0.22/0.47  thf(f1148,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : (($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0))) | ((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | (zero_zero @ real != (X1 @ p)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true)) ) | ~spl17_5),
% 0.22/0.47    inference(avatar_component_clause,[],[f1147])).
% 0.22/0.47  thf(f1147,plain,(
% 0.22/0.47    spl17_5 <=> ! [X0 : real,X1 : a > real] : (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | ($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0))) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (X1 @ p)))),
% 0.22/0.47    introduced(avatar_definition,[new_symbols(naming,[spl17_5])])).
% 0.22/0.47  thf(f1089,plain,(
% 0.22/0.47    ( ! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ X3)) @ one_one @ real) = $true)) )),
% 0.22/0.47    inference(cnf_transformation,[],[f1035])).
% 0.22/0.47  thf(f1212,plain,(
% 0.22/0.47    ((member @ a @ (sK4 @ sK9 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | (~spl17_1 | ~spl17_3 | ~spl17_4)),
% 0.22/0.47    inference(subsumption_resolution,[],[f1211,f1207])).
% 0.22/0.47  thf(f1211,plain,(
% 0.22/0.47    ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) = $true) | ((member @ a @ (sK4 @ sK9 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ~spl17_4),
% 0.22/0.47    inference(subsumption_resolution,[],[f1210,f1091])).
% 0.22/0.47  thf(f1210,plain,(
% 0.22/0.47    ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | ((member @ a @ (sK4 @ sK9 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) = $true) | ~spl17_4),
% 0.22/0.47    inference(subsumption_resolution,[],[f1209,f1094])).
% 0.22/0.47  thf(f1209,plain,(
% 0.22/0.47    ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | ((member @ a @ (sK4 @ sK9 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) = $true) | ~spl17_4),
% 0.22/0.47    inference(trivial_inequality_removal,[],[f1208])).
% 0.22/0.47  thf(f1208,plain,(
% 0.22/0.47    ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK8) @ sK9) != $true) | ((ord_less @ real @ (abs_abs @ real @ (sK9 @ (sK5 @ sK9 @ sK8))) @ one_one @ real) = $true) | ((ord_less @ real @ zero_zero @ real @ sK8) != $true) | ($true != $true) | ((member @ a @ (sK4 @ sK9 @ sK8) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ~spl17_4),
% 0.22/0.47    inference(superposition,[],[f1089,f1189])).
% 0.22/0.47  thf(f1189,plain,(
% 0.22/0.47    ( ! [X0 : real] : (((member @ a @ (sK5 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | ((member @ a @ (sK4 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK9)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true)) ) | ~spl17_4),
% 0.22/0.47    inference(subsumption_resolution,[],[f1186,f1090])).
% 0.22/0.47  thf(f1186,plain,(
% 0.22/0.47    ( ! [X0 : real] : (((member @ a @ (sK5 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | ((member @ a @ (sK4 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (sK9 @ p)) | ($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK9))) ) | ~spl17_4),
% 0.22/0.47    inference(trivial_inequality_removal,[],[f1182])).
% 0.22/0.47  thf(f1182,plain,(
% 0.22/0.47    ( ! [X0 : real] : (($true != (topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK9)) | ((member @ a @ (sK4 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK8)) != $true) | ($true != $true) | ((member @ a @ (sK5 @ sK9 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | (zero_zero @ real != (sK9 @ p)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true)) ) | ~spl17_4),
% 0.22/0.47    inference(superposition,[],[f1144,f1093])).
% 0.22/0.47  thf(f1144,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : (((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (X1 @ p)) | ($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0))) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true)) ) | ~spl17_4),
% 0.22/0.47    inference(avatar_component_clause,[],[f1143])).
% 0.22/0.47  thf(f1143,plain,(
% 0.22/0.47    spl17_4 <=> ! [X0 : real,X1 : a > real] : (($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0))) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true) | (zero_zero @ real != (X1 @ p)))),
% 0.22/0.47    introduced(avatar_definition,[new_symbols(naming,[spl17_4])])).
% 0.22/0.47  thf(f1149,plain,(
% 0.22/0.47    spl17_5 | spl17_2),
% 0.22/0.47    inference(avatar_split_clause,[],[f1071,f1133,f1147])).
% 0.22/0.47  thf(f1133,plain,(
% 0.22/0.47    spl17_2 <=> (thesisa = $true)),
% 0.22/0.47    introduced(avatar_definition,[new_symbols(naming,[spl17_2])])).
% 0.22/0.47  thf(f1071,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | (zero_zero @ real != (X1 @ p)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0))) | ((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) | (thesisa = $true)) )),
% 0.22/0.47    inference(cnf_transformation,[],[f1028])).
% 0.22/0.47  thf(f1028,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : ((((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) & ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | (((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true) & ($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)))) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (X1 @ p)) | (thesisa = $true))),
% 0.22/0.47    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f1025,f1027,f1026])).
% 0.22/0.47  thf(f1026,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : (? [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) & ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) != $true)) => (((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) & ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true)))),
% 0.22/0.47    introduced(choice_axiom,[])).
% 0.22/0.47  thf(f1027,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : (? [X3 : a] : (((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) != $true) & ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true)) => (((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true) & ($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)))))),
% 0.22/0.47    introduced(choice_axiom,[])).
% 0.22/0.47  thf(f1025,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : (? [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) & ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b)) != $true)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ? [X3 : a] : (((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real) != $true) & ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (X1 @ p)) | (thesisa = $true))),
% 0.22/0.47    inference(rectify,[],[f968])).
% 0.22/0.47  thf(f968,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : (? [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) & ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b)) != $true)) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ? [X2 : a] : (((ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real) != $true) & ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (zero_zero @ real != (X1 @ p)) | (thesisa = $true))),
% 0.22/0.47    inference(flattening,[],[f967])).
% 0.22/0.47  thf(f967,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : ((((((thesisa = $true) | ? [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) & ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b)) != $true))) | ? [X2 : a] : (((ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real) != $true) & ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true))) | (zero_zero @ real != (X1 @ p))) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true)) | ((ord_less @ real @ zero_zero @ real @ X0) != $true))),
% 0.22/0.47    inference(ennf_transformation,[],[f324])).
% 0.22/0.47  thf(f324,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : (((ord_less @ real @ zero_zero @ real @ X0) = $true) => (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) = $true) => ((zero_zero @ real = (X1 @ p)) => (! [X2 : a] : (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) => ((ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real) = $true)) => (! [X3 : a] : (((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) = $true) => ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b)) = $true)) => (thesisa = $true))))))),
% 0.22/0.47    inference(fool_elimination,[],[f323])).
% 0.22/0.47  thf(f323,plain,(
% 0.22/0.47    ! [X0 : real,X1 : a > real] : ((ord_less @ real @ zero_zero @ real @ X0) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) => ((zero_zero @ real = (X1 @ p)) => (! [X2 : a] : ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) => (ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real)) => (! [X3 : a] : ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)) => (member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b))) => thesisa)))))),
% 0.22/0.47    inference(rectify,[],[f319])).
% 0.22/0.47  thf(f319,axiom,(
% 0.22/0.47    ! [X57 : real,X58 : a > real] : ((ord_less @ real @ zero_zero @ real @ X57) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X57) @ X58) => ((zero_zero @ real = (X58 @ p)) => (! [X11 : a] : ((member @ a @ X11 @ (elemen1815086676c_ball @ a @ p @ X57)) => (ord_less @ real @ (abs_abs @ real @ (X58 @ X11)) @ one_one @ real)) => (! [X11 : a] : ((member @ a @ X11 @ (elemen1815086676c_ball @ a @ p @ X57)) => (member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X11 @ (X58 @ X11)) @ (line_open_segment @ a @ a2 @ b))) => thesisa)))))),
% 0.22/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.47  thf(f1145,plain,(
% 0.22/0.47    spl17_2 | spl17_4),
% 0.22/0.47    inference(avatar_split_clause,[],[f1069,f1143,f1133])).
% 0.22/0.47  thf(f1069,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : (($true = (member @ a @ (sK5 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0))) | (zero_zero @ real != (X1 @ p)) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | (thesisa = $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true)) )),
% 0.22/0.47    inference(cnf_transformation,[],[f1028])).
% 0.22/0.47  thf(f1141,plain,(
% 0.22/0.47    ~spl17_2),
% 0.22/0.47    inference(avatar_split_clause,[],[f1066,f1133])).
% 0.22/0.47  thf(f1066,plain,(
% 0.22/0.47    (thesisa != $true)),
% 0.22/0.47    inference(cnf_transformation,[],[f941])).
% 0.22/0.47  thf(f941,plain,(
% 0.22/0.47    (thesisa != $true)),
% 0.22/0.47    inference(flattening,[],[f650])).
% 0.22/0.47  thf(f650,plain,(
% 0.22/0.47    ~(thesisa = $true)),
% 0.22/0.47    inference(fool_elimination,[],[f649])).
% 0.22/0.47  thf(f649,plain,(
% 0.22/0.47    ~thesisa),
% 0.22/0.47    inference(rectify,[],[f321])).
% 0.22/0.47  thf(f321,negated_conjecture,(
% 0.22/0.47    ~thesisa),
% 0.22/0.47    inference(negated_conjecture,[],[f320])).
% 0.22/0.47  thf(f320,conjecture,(
% 0.22/0.47    thesisa),
% 0.22/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.22/0.47  thf(f1140,plain,(
% 0.22/0.47    spl17_2 | spl17_3),
% 0.22/0.47    inference(avatar_split_clause,[],[f1072,f1138,f1133])).
% 0.22/0.47  thf(f1072,plain,(
% 0.22/0.47    ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true) | (zero_zero @ real != (X1 @ p)) | ((member @ a @ (sK4 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X0)) = $true)) )),
% 0.22/0.48    inference(cnf_transformation,[],[f1028])).
% 0.22/0.48  thf(f1136,plain,(
% 0.22/0.48    spl17_1 | spl17_2),
% 0.22/0.48    inference(avatar_split_clause,[],[f1070,f1133,f1130])).
% 0.22/0.48  thf(f1070,plain,(
% 0.22/0.48    ( ! [X0 : real,X1 : a > real] : ((thesisa = $true) | ((ord_less @ real @ (abs_abs @ real @ (X1 @ (sK5 @ X1 @ X0))) @ one_one @ real) != $true) | ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) != $true) | ((ord_less @ real @ zero_zero @ real @ X0) != $true) | ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK4 @ X1 @ X0) @ (X1 @ (sK4 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)) != $true) | (zero_zero @ real != (X1 @ p))) )),
% 0.22/0.48    inference(cnf_transformation,[],[f1028])).
% 0.22/0.48  % SZS output end Proof for theBenchmark
% 0.22/0.48  % (26057)------------------------------
% 0.22/0.48  % (26057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (26057)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (26057)Memory used [KB]: 6652
% 0.22/0.48  % (26057)Time elapsed: 0.073 s
% 0.22/0.48  % (26057)Instructions burned: 108 (million)
% 0.22/0.48  % (26057)------------------------------
% 0.22/0.48  % (26057)------------------------------
% 0.22/0.48  % (26051)Success in time 0.109 s
% 0.22/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------