%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP147^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:08:33 AM UTC 2026
% Result : Theorem 1.19s 0.47s
% Output : Refutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP147^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:00:24 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.42 % (1237091)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.49/0.42 % (1237106)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1976052356:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.49/0.42 % (1237107)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.49/0.42 % (1237107)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
% 0.49/0.42 % (1237101)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4156343409:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.49/0.42 % (1237104)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=4054402864: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)
% 0.49/0.42 % (1237103)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=942013552:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.49/0.42 % (1237105)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2035080197:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.49/0.42 % (1237107)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=414875365:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.49/0.42 % (1237103)Instruction limit reached!
% 0.49/0.42 % (1237103)------------------------------
% 0.49/0.42 % (1237103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1237103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1237103)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1237103)Termination reason: Instruction limit
% 0.49/0.42 % (1237103)Termination phase: shuffling
% 0.49/0.42 % (1237103)Time elapsed: 0.003 s
% 0.49/0.42 % (1237103)Peak memory usage: 10 MB
% 0.49/0.42 % (1237103)Instructions burned: 5 (million)
% 0.49/0.42 % (1237102)lrs+10_16_si=on:nwc=1.5:random_seed=4079669200:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.49/0.42 % (1237105)Instruction limit reached!
% 0.49/0.42 % (1237105)------------------------------
% 0.49/0.42 % (1237105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1237105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1237105)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1237105)Termination reason: Instruction limit
% 0.49/0.42 % (1237105)Termination phase: Property scanning
% 0.49/0.42 % (1237105)Time elapsed: 0.011 s
% 0.49/0.42 % (1237105)Peak memory usage: 10 MB
% 0.49/0.42 % (1237105)Instructions burned: 24 (million)
% 0.49/0.42 % (1237106)Instruction limit reached!
% 0.49/0.42 % (1237106)------------------------------
% 0.49/0.42 % (1237106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1237106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1237106)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1237106)Termination reason: Instruction limit
% 0.49/0.42 % (1237106)Termination phase: Property scanning
% 0.49/0.42 % (1237106)Time elapsed: 0.018 s
% 0.49/0.42 % (1237106)Peak memory usage: 12 MB
% 0.49/0.42 % (1237106)Instructions burned: 78 (million)
% 0.49/0.42 % (1237102)Instruction limit reached!
% 0.49/0.42 % (1237102)------------------------------
% 0.49/0.42 % (1237102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1237102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1237102)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1237102)Termination reason: Instruction limit
% 0.49/0.42 % (1237102)Termination phase: shuffling
% 0.49/0.42 % (1237102)Time elapsed: 0.009 s
% 0.49/0.42 % (1237102)Peak memory usage: 10 MB
% 0.49/0.42 % (1237102)Instructions burned: 18 (million)
% 0.49/0.42 % (1237126)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.42 % (1237126)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2210304231:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.49/0.46 % (1237122)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=736826027:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.46 % (1237122)Instruction limit reached!
% 0.49/0.46 % (1237122)------------------------------
% 0.49/0.46 % (1237122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.46 % (1237122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.46 % (1237122)CaDiCaL version: 2.1.3
% 0.49/0.46 % (1237122)Termination reason: Instruction limit
% 0.49/0.46 % (1237122)Termination phase: shuffling
% 0.49/0.46 % (1237122)Time elapsed: 0.002 s
% 0.49/0.46 % (1237122)Peak memory usage: 10 MB
% 0.49/0.46 % (1237122)Instructions burned: 3 (million)
% 0.49/0.46 % (1237126)Instruction limit reached!
% 0.49/0.46 % (1237126)------------------------------
% 0.49/0.46 % (1237126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.46 % (1237126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.46 % (1237126)CaDiCaL version: 2.1.3
% 0.49/0.46 % (1237126)Termination reason: Instruction limit
% 0.49/0.46 % (1237126)Termination phase: shuffling
% 0.49/0.46 % (1237126)Time elapsed: 0.003 s
% 0.49/0.46 % (1237126)Peak memory usage: 10 MB
% 0.49/0.46 % (1237126)Instructions burned: 14 (million)
% 0.49/0.46 % (1237125)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3088512903:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.49/0.46 % (1237127)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3090271143:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.49/0.46 % (1237125)Instruction limit reached!
% 0.49/0.46 % (1237125)------------------------------
% 0.49/0.46 % (1237125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.46 % (1237125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.46 % (1237125)CaDiCaL version: 2.1.3
% 0.49/0.46 % (1237125)Termination reason: Instruction limit
% 0.49/0.46 % (1237125)Termination phase: shuffling
% 0.49/0.46 % (1237125)Time elapsed: 0.003 s
% 0.49/0.46 % (1237125)Peak memory usage: 10 MB
% 0.49/0.46 % (1237125)Instructions burned: 6 (million)
% 0.49/0.46 % (1237101)Instruction limit reached!
% 0.49/0.46 % (1237101)------------------------------
% 0.49/0.46 % (1237101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.46 % (1237101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.46 % (1237101)CaDiCaL version: 2.1.3
% 0.49/0.46 % (1237101)Termination reason: Instruction limit
% 0.49/0.46 % (1237101)Termination phase: Property scanning
% 0.49/0.46 % (1237101)Time elapsed: 0.039 s
% 0.49/0.46 % (1237101)Peak memory usage: 12 MB
% 0.49/0.46 % (1237101)Instructions burned: 87 (million)
% 0.49/0.46 % (1237134)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=4029603481:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.49/0.46 % (1237127)Instruction limit reached!
% 0.49/0.46 % (1237127)------------------------------
% 0.49/0.46 % (1237127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.46 % (1237127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.46 % (1237127)CaDiCaL version: 2.1.3
% 0.49/0.46 % (1237127)Termination reason: Instruction limit
% 0.49/0.46 % (1237127)Termination phase: shuffling
% 0.49/0.46 % (1237127)Time elapsed: 0.005 s
% 0.49/0.46 % (1237127)Peak memory usage: 10 MB
% 0.49/0.46 % (1237127)Instructions burned: 12 (million)
% 0.49/0.46 % (1237133)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
% 0.49/0.46 % (1237133)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.46 % (1237133)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3444643174:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.49/0.46 % (1237140)lrs+10_1_si=on:cs=on:random_seed=4016473723:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.49/0.46 % (1237143)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.19/0.47 % (1237143)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=3110937222:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.19/0.47 % (1237144)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3121853381:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.19/0.47 % (1237140)Instruction limit reached!
% 1.19/0.47 % (1237140)------------------------------
% 1.19/0.47 % (1237140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237140)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237140)Termination reason: Instruction limit
% 1.19/0.47 % (1237140)Termination phase: shuffling
% 1.19/0.47 % (1237140)Time elapsed: 0.004 s
% 1.19/0.47 % (1237140)Peak memory usage: 10 MB
% 1.19/0.47 % (1237140)Instructions burned: 9 (million)
% 1.19/0.47 % (1237134)Instruction limit reached!
% 1.19/0.47 % (1237134)------------------------------
% 1.19/0.47 % (1237134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237134)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237134)Termination reason: Instruction limit
% 1.19/0.47 % (1237134)Termination phase: Property scanning
% 1.19/0.47 % (1237134)Time elapsed: 0.019 s
% 1.19/0.47 % (1237134)Peak memory usage: 11 MB
% 1.19/0.47 % (1237134)Instructions burned: 88 (million)
% 1.19/0.47 % (1237133)Instruction limit reached!
% 1.19/0.47 % (1237133)------------------------------
% 1.19/0.47 % (1237133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237133)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237133)Termination reason: Instruction limit
% 1.19/0.47 % (1237133)Termination phase: shuffling
% 1.19/0.47 % (1237133)Time elapsed: 0.013 s
% 1.19/0.47 % (1237133)Peak memory usage: 10 MB
% 1.19/0.47 % (1237133)Instructions burned: 29 (million)
% 1.19/0.47 % (1237143)Instruction limit reached!
% 1.19/0.47 % (1237143)------------------------------
% 1.19/0.47 % (1237143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237143)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237143)Termination reason: Instruction limit
% 1.19/0.47 % (1237143)Termination phase: shuffling
% 1.19/0.47 % (1237143)Time elapsed: 0.002 s
% 1.19/0.47 % (1237143)Peak memory usage: 10 MB
% 1.19/0.47 % (1237143)Instructions burned: 4 (million)
% 1.19/0.47 % (1237157)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3617815044:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.19/0.47 % (1237107)Instruction limit reached!
% 1.19/0.47 % (1237107)------------------------------
% 1.19/0.47 % (1237107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237107)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237107)Termination reason: Instruction limit
% 1.19/0.47 % (1237107)Termination phase: Saturation
% 1.19/0.47 % (1237107)Time elapsed: 0.074 s
% 1.19/0.47 % (1237107)Peak memory usage: 13 MB
% 1.19/0.47 % (1237107)Instructions burned: 157 (million)
% 1.19/0.47 % (1237144)Instruction limit reached!
% 1.19/0.47 % (1237144)------------------------------
% 1.19/0.47 % (1237144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237157)Instruction limit reached!
% 1.19/0.47 % (1237157)------------------------------
% 1.19/0.47 % (1237157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237157)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237157)Termination reason: Instruction limit
% 1.19/0.47 % (1237157)Termination phase: Property scanning
% 1.19/0.47 % (1237157)Time elapsed: 0.006 s
% 1.19/0.47 % (1237157)Peak memory usage: 10 MB
% 1.19/0.47 % (1237157)Instructions burned: 28 (million)
% 1.19/0.47 % (1237144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237144)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237144)Termination reason: Instruction limit
% 1.19/0.47 % (1237144)Termination phase: Preprocessing 2
% 1.19/0.47 % (1237144)Time elapsed: 0.018 s
% 1.19/0.47 % (1237144)Peak memory usage: 10 MB
% 1.19/0.47 % (1237144)Instructions burned: 40 (million)
% 1.19/0.47 % (1237156)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3936271603:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.19/0.47 % (1237159)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=155181033:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.47 % (1237160)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2004031041:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.19/0.47 % (1237159)Instruction limit reached!
% 1.19/0.47 % (1237159)------------------------------
% 1.19/0.47 % (1237159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237159)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237159)Termination reason: Instruction limit
% 1.19/0.47 % (1237159)Termination phase: shuffling
% 1.19/0.47 % (1237159)Time elapsed: 0.006 s
% 1.19/0.47 % (1237159)Peak memory usage: 10 MB
% 1.19/0.47 % (1237159)Instructions burned: 14 (million)
% 1.19/0.47 % (1237170)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=398797130:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.19/0.47 % (1237170)Instruction limit reached!
% 1.19/0.47 % (1237170)------------------------------
% 1.19/0.47 % (1237170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237170)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237170)Termination reason: Instruction limit
% 1.19/0.47 % (1237170)Termination phase: shuffling
% 1.19/0.47 % (1237170)Time elapsed: 0.001 s
% 1.19/0.47 % (1237170)Peak memory usage: 10 MB
% 1.19/0.47 % (1237170)Instructions burned: 4 (million)
% 1.19/0.47 % (1237168)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1358471662:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.47 % (1237171)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=969494683:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.19/0.47 % (1237181)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3548550823:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.19/0.47 % (1237168)Instruction limit reached!
% 1.19/0.47 % (1237168)------------------------------
% 1.19/0.47 % (1237168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237168)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237168)Termination reason: Instruction limit
% 1.19/0.47 % (1237168)Termination phase: shuffling
% 1.19/0.47 % (1237168)Time elapsed: 0.007 s
% 1.19/0.47 % (1237168)Peak memory usage: 10 MB
% 1.19/0.47 % (1237168)Instructions burned: 15 (million)
% 1.19/0.47 % (1237180)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4235860036:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.19/0.47 % (1237171)Instruction limit reached!
% 1.19/0.47 % (1237171)------------------------------
% 1.19/0.47 % (1237171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237171)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237171)Termination reason: Instruction limit
% 1.19/0.47 % (1237171)Termination phase: shuffling
% 1.19/0.47 % (1237171)Time elapsed: 0.011 s
% 1.19/0.47 % (1237171)Peak memory usage: 10 MB
% 1.19/0.47 % (1237171)Instructions burned: 26 (million)
% 1.19/0.47 % (1237181)Instruction limit reached!
% 1.19/0.47 % (1237181)------------------------------
% 1.19/0.47 % (1237181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237181)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237181)Termination reason: Instruction limit
% 1.19/0.47 % (1237181)Termination phase: Property scanning
% 1.19/0.47 % (1237181)Time elapsed: 0.016 s
% 1.19/0.47 % (1237181)Peak memory usage: 11 MB
% 1.19/0.47 % (1237181)Instructions burned: 69 (million)
% 1.19/0.47 % (1237180)Instruction limit reached!
% 1.19/0.47 % (1237180)------------------------------
% 1.19/0.47 % (1237180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237180)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237180)Termination reason: Instruction limit
% 1.19/0.47 % (1237180)Termination phase: Property scanning
% 1.19/0.47 % (1237180)Time elapsed: 0.011 s
% 1.19/0.47 % (1237180)Peak memory usage: 10 MB
% 1.19/0.47 % (1237180)Instructions burned: 25 (million)
% 1.19/0.47 % (1237191)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.19/0.47 % (1237191)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.19/0.47 % (1237191)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=175781580:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.47 % (1237156) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1237091-1237156"...
% 1.19/0.47 % (1237201)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3371688061:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.19/0.47 % (1237196)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.19/0.47 % (1237191)Instruction limit reached!
% 1.19/0.47 % (1237191)------------------------------
% 1.19/0.47 % (1237191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.47 % (1237191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.47 % (1237191)CaDiCaL version: 2.1.3
% 1.19/0.47 % (1237191)Termination reason: Instruction limit
% 1.19/0.47 % (1237191)Termination phase: shuffling
% 1.19/0.47 % (1237191)Time elapsed: 0.007 s
% 1.19/0.47 % (1237191)Peak memory usage: 10 MB
% 1.19/0.47 % (1237191)Instructions burned: 16 (million)
% 1.19/0.47 % (1237196)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1047389976:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.19/0.47 % (1237156)...printing done.
% 1.19/0.47 % (1237156)Refutation found. Thanks to Tanya!
% 1.19/0.47 % SZS status Theorem for theBenchmark
% 1.19/0.47 % SZS output start Proof for theBenchmark
% 1.19/0.47 thf(type_def_5, type, set_real: $tType).
% 1.19/0.47 thf(type_def_6, type, set_a: $tType).
% 1.19/0.47 thf(type_def_7, type, real: $tType).
% 1.19/0.47 thf(type_def_8, type, a: $tType).
% 1.19/0.47 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.19/0.47 thf(func_def_0, type, elemen341675809l_real: (real > real > set_real)).
% 1.19/0.47 thf(func_def_1, type, elemen154694473ball_a: (a > real > set_a)).
% 1.19/0.47 thf(func_def_2, type, auto_l612940ivl0_a: ((a > a) > set_a > a > set_real)).
% 1.19/0.47 thf(func_def_3, type, auto_ll_on_flow0_a: ((a > a) > set_a > a > real > a)).
% 1.19/0.47 thf(func_def_4, type, abs_abs_real: (real > real)).
% 1.19/0.47 thf(func_def_5, type, abs_abs_a: (a > a)).
% 1.19/0.47 thf(func_def_6, type, one_one_real: real).
% 1.19/0.47 thf(func_def_7, type, plus_plus_real: (real > real > real)).
% 1.19/0.47 thf(func_def_8, type, plus_plus_a: (a > a > a)).
% 1.19/0.47 thf(func_def_9, type, uminus_uminus_a_a: ((a > a) > a > a)).
% 1.19/0.47 thf(func_def_10, type, uminus_uminus_real: (real > real)).
% 1.19/0.47 thf(func_def_11, type, uminus_uminus_a: (a > a)).
% 1.19/0.47 thf(func_def_12, type, zero_zero_real: real).
% 1.19/0.47 thf(func_def_13, type, zero_zero_a: a).
% 1.19/0.47 thf(func_def_14, type, if_real: ($o > real > real > real)).
% 1.19/0.47 thf(func_def_15, type, initia826609931terval: (set_real > $o)).
% 1.19/0.47 thf(func_def_16, type, limit_1865182413oint_a: ((a > a) > set_a > a > a > $o)).
% 1.19/0.47 thf(func_def_17, type, limit_94460170oint_a: ((a > a) > set_a > a > a > $o)).
% 1.19/0.47 thf(func_def_18, type, line_open_segment_a: (a > a > set_a)).
% 1.19/0.47 thf(func_def_19, type, bot_bot_set_real: set_real).
% 1.19/0.47 thf(func_def_20, type, bot_bot_set_a: set_a).
% 1.19/0.47 thf(func_def_21, type, ord_less_real: (real > real > $o)).
% 1.19/0.47 thf(func_def_22, type, ord_less_a: (a > a > $o)).
% 1.19/0.47 thf(func_def_23, type, ord_less_eq_real: (real > real > $o)).
% 1.19/0.47 thf(func_def_24, type, ord_less_eq_a: (a > a > $o)).
% 1.19/0.47 thf(func_def_25, type, top_top_set_real: set_real).
% 1.19/0.47 thf(func_def_26, type, period720806154rbit_a: ((a > a) > set_a > a > $o)).
% 1.19/0.47 thf(func_def_27, type, period1305449585riod_a: ((a > a) > set_a > a > real)).
% 1.19/0.47 thf(func_def_28, type, period138238489rbit_a: ((a > a) > set_a > a > $o)).
% 1.19/0.47 thf(func_def_29, type, poinca522724647ment_a: ((a > a) > set_a > a > a > $o)).
% 1.19/0.47 thf(func_def_30, type, collect_real: ((real > $o) > set_real)).
% 1.19/0.47 thf(func_def_31, type, collect_a: ((a > $o) > set_a)).
% 1.19/0.47 thf(func_def_32, type, topolo1710226732a_real: (set_a > (a > real) > $o)).
% 1.19/0.47 thf(func_def_33, type, member_real: (real > set_real > $o)).
% 1.19/0.47 thf(func_def_34, type, member_a: (a > set_a > $o)).
% 1.19/0.47 thf(func_def_35, type, x: set_a).
% 1.19/0.47 thf(func_def_36, type, a2: a).
% 1.19/0.47 thf(func_def_37, type, b: a).
% 1.19/0.47 thf(func_def_38, type, f: (a > a)).
% 1.19/0.47 thf(func_def_39, type, p: a).
% 1.19/0.47 thf(func_def_40, type, thesisa: $o).
% 1.19/0.47 thf(func_def_41, type, x2: a).
% 1.19/0.47 thf(func_def_43, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.19/0.47 thf(func_def_46, type, vNOT: ($o > $o)).
% 1.19/0.47 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 1.19/0.47 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 1.19/0.47 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.19/0.47 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 1.19/0.47 thf(func_def_51, type, vOR: ($o > $o > $o)).
% 1.19/0.47 thf(func_def_52, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.19/0.47 thf(func_def_53, type, sK0: (a > real)).
% 1.19/0.47 thf(func_def_54, type, sK1: (a > a)).
% 1.19/0.47 thf(func_def_55, type, sK2: (a > a)).
% 1.19/0.47 thf(func_def_56, type, sK3: ((a > real) > real > a)).
% 1.19/0.47 thf(func_def_57, type, sK4: ((a > real) > real > a)).
% 1.19/0.47 thf(func_def_58, type, sK5: real).
% 1.19/0.47 thf(func_def_59, type, sK6: (a > real)).
% 1.19/0.47 thf(func_def_60, type, sK7: (a > a > real > a > real)).
% 1.19/0.47 thf(func_def_61, type, sK8: (a > a > real > a > a > real)).
% 1.19/0.47 thf(func_def_62, type, sK9: ((a > real) > real > a)).
% 1.19/0.47 thf(func_def_63, type, sK10: ((a > real) > real > a)).
% 1.19/0.47 thf(func_def_64, type, sK11: (a > real)).
% 1.19/0.47 thf(func_def_65, type, sK12: (a > a)).
% 1.19/0.47 thf(func_def_66, type, sK13: (a > a)).
% 1.19/0.47 thf(f4,axiom,(
% 1.19/0.47 ~ ! [X0 : real] : ((ord_less_real @ zero_zero_real @ X0) => ! [X1 : (a > real)] : ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b))) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) => (ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real)) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => (((X1 @ p)) != zero_zero_real))))))),
% 1.19/0.47 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)).
% 1.19/0.47 thf(f102,axiom,(
% 1.19/0.47 ! [X1 : real,X0 : real] : (((ord_less_real @ (uminus_uminus_real @ X0) @ (uminus_uminus_real @ X1))) = ((ord_less_real @ X1 @ X0)))),
% 1.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_neg__less__iff__less)).
% 1.19/0.47 thf(f348,axiom,(
% 1.19/0.47 ! [X1 : (a > real),X0 : real] : ((ord_less_real @ zero_zero_real @ X0) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => ((((X1 @ p)) = zero_zero_real) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) => (ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real)) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b))) => thesisa)))))),
% 1.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.19/0.47 thf(f349,conjecture,(
% 1.19/0.47 thesisa),
% 1.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 1.19/0.47 thf(f350,negated_conjecture,(
% 1.19/0.47 ~thesisa),
% 1.19/0.47 inference(negated_conjecture,[status(cth)],[f349])).
% 1.19/0.47 thf(f509,plain,(
% 1.19/0.47 ! [X0 : (a > real),X1 : real] : ((ord_less_real @ zero_zero_real @ X1) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) => ((zero_zero_real = ((X0 @ p))) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)) => (ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real)) => (! [X3 : a] : ((member_a @ X3 @ (elemen154694473ball_a @ p @ X1)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b))) => thesisa)))))),
% 1.19/0.47 inference(rectify,[],[f348])).
% 1.19/0.47 thf(f510,plain,(
% 1.19/0.47 ! [X1 : real,X0 : (a > real)] : ((((ord_less_real @ zero_zero_real @ X1)) = $true) => ((((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0)) = $true) => ((zero_zero_real = ((X0 @ p))) => (! [X2 : a] : (($true = ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)))) => (((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real)) = $true)) => (! [X3 : a] : ((((member_a @ X3 @ (elemen154694473ball_a @ p @ X1))) = $true) => ($true = ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b))))) => (thesisa = $true))))))),
% 1.19/0.47 inference(fool_elimination,[],[f509])).
% 1.19/0.47 thf(f519,plain,(
% 1.19/0.47 ~ ! [X0 : real] : ((ord_less_real @ zero_zero_real @ X0) => ! [X1 : (a > real)] : ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_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 @ (elemen154694473ball_a @ p @ X0)) => (ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real)) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => (((X1 @ p)) != zero_zero_real))))))),
% 1.19/0.47 inference(rectify,[],[f4])).
% 1.19/0.47 thf(f520,plain,(
% 1.19/0.47 ~ ! [X0 : real] : ((((ord_less_real @ zero_zero_real @ X0)) = $true) => ! [X1 : (a > real)] : ((((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true) => (! [X2 : a] : ((((member_a @ X2 @ (elemen154694473ball_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 @ (elemen154694473ball_a @ p @ X0))) = $true) => (((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real)) = $true)) => ((((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true) => (zero_zero_real != ((X1 @ p))))))))),
% 1.19/0.47 inference(fool_elimination,[],[f519])).
% 1.19/0.47 thf(f751,plain,(
% 1.19/0.47 ~thesisa),
% 1.19/0.47 inference(rectify,[],[f350])).
% 1.19/0.47 thf(f752,plain,(
% 1.19/0.47 ~ (thesisa = $true)),
% 1.19/0.47 inference(fool_elimination,[],[f751])).
% 1.19/0.47 thf(f761,plain,(
% 1.19/0.47 (thesisa != $true)),
% 1.19/0.47 inference(flattening,[],[f752])).
% 1.19/0.47 thf(f776,plain,(
% 1.19/0.47 ! [X0 : real,X1 : real] : (((ord_less_real @ X0 @ X1)) = ((ord_less_real @ (uminus_uminus_real @ X1) @ (uminus_uminus_real @ X0))))),
% 1.19/0.47 inference(rectify,[],[f102])).
% 1.19/0.47 thf(f823,plain,(
% 1.19/0.47 ! [X1 : real,X0 : (a > real)] : ((((((thesisa = $true) | ? [X3 : a] : (($true != ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b)))) & (((member_a @ X3 @ (elemen154694473ball_a @ p @ X1))) = $true))) | ? [X2 : a] : (($true = ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)))) & (((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real)) != $true))) | (zero_zero_real != ((X0 @ p)))) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0)) != $true)) | (((ord_less_real @ zero_zero_real @ X1)) != $true))),
% 1.19/0.47 inference(ennf_transformation,[],[f510])).
% 1.19/0.47 thf(f824,plain,(
% 1.19/0.47 ! [X1 : real,X0 : (a > real)] : (? [X3 : a] : (($true != ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b)))) & (((member_a @ X3 @ (elemen154694473ball_a @ p @ X1))) = $true)) | (((ord_less_real @ zero_zero_real @ X1)) != $true) | (thesisa = $true) | ? [X2 : a] : (($true = ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)))) & (((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real)) != $true)) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0)) != $true) | (zero_zero_real != ((X0 @ p))))),
% 1.19/0.47 inference(flattening,[],[f823])).
% 1.19/0.47 thf(f849,plain,(
% 1.19/0.47 ? [X0 : real] : (? [X1 : (a > real)] : (((((zero_zero_real = ((X1 @ p))) & (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true)) & ! [X3 : a] : ((((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real)) = $true) | (((member_a @ X3 @ (elemen154694473ball_a @ p @ X0))) != $true))) & ! [X2 : a] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b))) = $true) | (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0))) != $true))) & (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true)) & (((ord_less_real @ zero_zero_real @ X0)) = $true))),
% 1.19/0.47 inference(ennf_transformation,[],[f520])).
% 1.19/0.47 thf(f850,plain,(
% 1.19/0.47 ? [X0 : real] : (? [X1 : (a > real)] : (! [X3 : a] : ((((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real)) = $true) | (((member_a @ X3 @ (elemen154694473ball_a @ p @ X0))) != $true)) & (zero_zero_real = ((X1 @ p))) & (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true) & ! [X2 : a] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b))) = $true) | (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0))) != $true)) & (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true)) & (((ord_less_real @ zero_zero_real @ X0)) = $true))),
% 1.19/0.47 inference(flattening,[],[f849])).
% 1.19/0.47 thf(f904,plain,(
% 1.19/0.47 ? [X0 : real] : (? [X1 : (a > real)] : (! [X2 : a] : ((((ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real)) = $true) | (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0))) != $true)) & (zero_zero_real = ((X1 @ p))) & (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true) & ! [X3 : a] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment_a @ a2 @ b))) = $true) | (((member_a @ X3 @ (elemen154694473ball_a @ p @ X0))) != $true)) & (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) = $true)) & (((ord_less_real @ zero_zero_real @ X0)) = $true))),
% 1.19/0.47 inference(rectify,[],[f850])).
% 1.19/0.47 thf(f905,plain,(
% 1.19/0.47 (! [X2 : a] : (($true = ((ord_less_real @ (abs_abs_real @ (sK6 @ X2)) @ one_one_real))) | (((member_a @ X2 @ (elemen154694473ball_a @ p @ sK5))) != $true)) & (zero_zero_real = ((sK6 @ p))) & ($true = ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) & ! [X3 : a] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (sK6 @ X3)) @ (line_open_segment_a @ a2 @ b))) = $true) | (((member_a @ X3 @ (elemen154694473ball_a @ p @ sK5))) != $true)) & ($true = ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6)))) & ($true = ((ord_less_real @ zero_zero_real @ sK5)))),
% 1.19/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f904])).
% 1.19/0.47 thf(f914,plain,(
% 1.19/0.47 ! [X0 : real,X1 : (a > real)] : (? [X2 : a] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b))) != $true) & (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0))) = $true)) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (thesisa = $true) | ? [X3 : a] : ((((member_a @ X3 @ (elemen154694473ball_a @ p @ X0))) = $true) & (((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real)) != $true)) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (zero_zero_real != ((X1 @ p))))),
% 1.19/0.47 inference(rectify,[],[f824])).
% 1.19/0.47 thf(f915,plain,(
% 1.19/0.47 ! [X0 : real,X1 : (a > real)] : (((((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true) & (((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true)) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (thesisa = $true) | ((((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) & (((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true)) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (zero_zero_real != ((X1 @ p))))),
% 1.19/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X1,sK0 @ X0),skolemize(X1,sK0 @ X0)],[f914])).
% 1.19/0.47 thf(f928,plain,(
% 1.19/0.47 (thesisa != $true)),
% 1.19/0.47 inference(cnf_transformation,[],[f761])).
% 1.19/0.47 thf(f957,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : real] : ((((ord_less_real @ X0 @ X1)) = ((ord_less_real @ (uminus_uminus_real @ X1) @ (uminus_uminus_real @ X0))))) )),
% 1.19/0.47 inference(cnf_transformation,[],[f776])).
% 1.19/0.47 thf(f996,plain,(
% 1.19/0.47 ($true = ((ord_less_real @ zero_zero_real @ sK5)))),
% 1.19/0.47 inference(cnf_transformation,[],[f905])).
% 1.19/0.47 thf(f997,plain,(
% 1.19/0.47 ($true = ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6)))),
% 1.19/0.47 inference(cnf_transformation,[],[f905])).
% 1.19/0.47 thf(f998,plain,(
% 1.19/0.47 ( ! [X3 : a] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (sK6 @ X3)) @ (line_open_segment_a @ a2 @ b))) = $true) | (((member_a @ X3 @ (elemen154694473ball_a @ p @ sK5))) != $true)) )),
% 1.19/0.47 inference(cnf_transformation,[],[f905])).
% 1.19/0.47 thf(f999,plain,(
% 1.19/0.47 ($true = ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6)))),
% 1.19/0.47 inference(cnf_transformation,[],[f905])).
% 1.19/0.47 thf(f1000,plain,(
% 1.19/0.47 (zero_zero_real = ((sK6 @ p)))),
% 1.19/0.47 inference(cnf_transformation,[],[f905])).
% 1.19/0.47 thf(f1001,plain,(
% 1.19/0.47 ( ! [X2 : a] : ((((member_a @ X2 @ (elemen154694473ball_a @ p @ sK5))) != $true) | ($true = ((ord_less_real @ (abs_abs_real @ (sK6 @ X2)) @ one_one_real)))) )),
% 1.19/0.47 inference(cnf_transformation,[],[f905])).
% 1.19/0.47 thf(f1021,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((thesisa = $true) | (((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (zero_zero_real != ((X1 @ p))) | (((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true)) )),
% 1.19/0.47 inference(cnf_transformation,[],[f915])).
% 1.19/0.47 thf(f1022,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (thesisa = $true) | (((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (zero_zero_real != ((X1 @ p))) | (((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true)) )),
% 1.19/0.47 inference(cnf_transformation,[],[f915])).
% 1.19/0.47 thf(f1023,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((zero_zero_real != ((X1 @ p))) | (thesisa = $true) | (((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true)) )),
% 1.19/0.47 inference(cnf_transformation,[],[f915])).
% 1.19/0.47 thf(f1024,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (zero_zero_real != ((X1 @ p))) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (thesisa = $true) | (((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true)) )),
% 1.19/0.47 inference(cnf_transformation,[],[f915])).
% 1.19/0.47 thf(f1063,definition,(
% 1.19/0.47 spl14_1 <=> (thesisa = $true)),
% 1.19/0.47 introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition])).
% 1.19/0.47 thf(f1067,definition,(
% 1.19/0.47 spl14_2 <=> ! [X0 : real,X1 : (a > real)] : ((((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (zero_zero_real != ((X1 @ p))) | (((ord_less_real @ zero_zero_real @ X0)) != $true))),
% 1.19/0.47 introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition])).
% 1.19/0.47 thf(f1068,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true) | (((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (zero_zero_real != ((X1 @ p)))) ) | ~spl14_2),
% 1.19/0.47 inference(avatar_component_clause,[],[f1067])).
% 1.19/0.47 thf(f1069,plain,(
% 1.19/0.47 spl14_1 | spl14_2),
% 1.19/0.47 inference(avatar_split_clause,[],[f1024,f1067,f1063])).
% 1.19/0.47 thf(f1071,definition,(
% 1.19/0.47 spl14_3 <=> ! [X0 : real,X1 : (a > real)] : ((((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (zero_zero_real != ((X1 @ p))) | (((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true))),
% 1.19/0.47 introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition])).
% 1.19/0.47 thf(f1072,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((((member_a @ (sK10 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (zero_zero_real != ((X1 @ p))) | (((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true)) ) | ~spl14_3),
% 1.19/0.47 inference(avatar_component_clause,[],[f1071])).
% 1.19/0.47 thf(f1073,plain,(
% 1.19/0.47 spl14_1 | spl14_3),
% 1.19/0.47 inference(avatar_split_clause,[],[f1022,f1071,f1063])).
% 1.19/0.47 thf(f1075,definition,(
% 1.19/0.47 spl14_4 <=> ! [X0 : real,X1 : (a > real)] : ((((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true) | (((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (zero_zero_real != ((X1 @ p))) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true))),
% 1.19/0.47 introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition])).
% 1.19/0.47 thf(f1076,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((((member_a @ (sK9 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X0))) = $true) | (zero_zero_real != ((X1 @ p))) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true)) ) | ~spl14_4),
% 1.19/0.47 inference(avatar_component_clause,[],[f1075])).
% 1.19/0.47 thf(f1077,plain,(
% 1.19/0.47 spl14_1 | spl14_4),
% 1.19/0.47 inference(avatar_split_clause,[],[f1021,f1075,f1063])).
% 1.19/0.47 thf(f1079,definition,(
% 1.19/0.47 spl14_5 <=> ! [X0 : real,X1 : (a > real)] : ((zero_zero_real != ((X1 @ p))) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true))),
% 1.19/0.47 introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition])).
% 1.19/0.47 thf(f1080,plain,(
% 1.19/0.47 ( ! [X0 : real,X1 : (a > real)] : ((((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK9 @ X1 @ X0) @ (X1 @ (sK9 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b))) != $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1)) != $true) | (((ord_less_real @ (abs_abs_real @ (X1 @ (sK10 @ X1 @ X0))) @ one_one_real)) != $true) | (zero_zero_real != ((X1 @ p))) | (((ord_less_real @ zero_zero_real @ X0)) != $true)) ) | ~spl14_5),
% 1.19/0.47 inference(avatar_component_clause,[],[f1079])).
% 1.19/0.47 thf(f1081,plain,(
% 1.19/0.47 spl14_5 | spl14_1),
% 1.19/0.47 inference(avatar_split_clause,[],[f1023,f1063,f1079])).
% 1.19/0.47 thf(f1082,plain,(
% 1.19/0.47 ~spl14_1),
% 1.19/0.47 inference(avatar_split_clause,[],[f928,f1063])).
% 1.19/0.47 thf(f1093,plain,(
% 1.19/0.47 ( ! [X0 : (a > real)] : ((((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ X0)) != $true) | (((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ X0 @ sK5))) @ one_one_real)) = $true) | (zero_zero_real != ((X0 @ p))) | (((member_a @ (sK9 @ X0 @ sK5) @ (elemen154694473ball_a @ p @ sK5))) = $true) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | ($true != $true)) ) | ~spl14_3),
% 1.19/0.47 inference(superposition,[],[f1001,f1072])).
% 1.19/0.47 thf(f1094,plain,(
% 1.19/0.47 ( ! [X0 : (a > real)] : (($true != ((ord_less_real @ zero_zero_real @ sK5))) | (((member_a @ (sK9 @ X0 @ sK5) @ (elemen154694473ball_a @ p @ sK5))) = $true) | (((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ X0 @ sK5))) @ one_one_real)) = $true) | (zero_zero_real != ((X0 @ p))) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ X0)) != $true)) ) | ~spl14_3),
% 1.19/0.47 inference(trivial_inequality_removal,[],[f1093])).
% 1.19/0.47 thf(f1095,plain,(
% 1.19/0.47 ( ! [X0 : (a > real)] : ((zero_zero_real != ((X0 @ p))) | (((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ X0 @ sK5))) @ one_one_real)) = $true) | (((member_a @ (sK9 @ X0 @ sK5) @ (elemen154694473ball_a @ p @ sK5))) = $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ X0)) != $true)) ) | ~spl14_3),
% 1.19/0.47 inference(forward_subsumption_resolution,[],[f1094,f996])).
% 1.19/0.47 thf(f1096,plain,(
% 1.19/0.47 ( ! [X0 : (a > real)] : ((((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ X0 @ sK5)))))) = $true) | (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ X0)) != $true) | (((member_a @ (sK9 @ X0 @ sK5) @ (elemen154694473ball_a @ p @ sK5))) = $true) | (zero_zero_real != ((X0 @ p)))) ) | ~spl14_3),
% 1.19/0.47 inference(forward_demodulation,[],[f1095,f957])).
% 1.19/0.47 thf(f1098,plain,(
% 1.19/0.47 ( ! [X0 : real] : (($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6))) | (((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ X0))) @ one_one_real)) != $true) | ($true != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5)))) | (zero_zero_real != ((sK6 @ p)))) ) | ~spl14_5),
% 1.19/0.48 inference(superposition,[],[f1080,f998])).
% 1.19/0.48 thf(f1105,plain,(
% 1.19/0.48 ( ! [X0 : real] : ((zero_zero_real != ((sK6 @ p))) | (((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ X0))) @ one_one_real)) != $true) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5)))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6))) | (((ord_less_real @ zero_zero_real @ X0)) != $true)) ) | ~spl14_5),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f1098])).
% 1.19/0.48 thf(f1107,plain,(
% 1.19/0.48 ( ! [X0 : real] : ((((ord_less_real @ zero_zero_real @ X0)) != $true) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5)))) | (((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ X0))) @ one_one_real)) != $true) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6)))) ) | ~spl14_5),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1105,f1000])).
% 1.19/0.48 thf(f1109,plain,(
% 1.19/0.48 ( ! [X0 : real] : ((((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ X0)))))) != $true) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6))) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5))))) ) | ~spl14_5),
% 1.19/0.48 inference(forward_demodulation,[],[f1107,f957])).
% 1.19/0.48 thf(f1111,plain,(
% 1.19/0.48 ( ! [X0 : real] : (($true = ((member_a @ (sK10 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ X0)))) | ($true != $true) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5)))) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | (zero_zero_real != ((sK6 @ p))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6)))) ) | ~spl14_2),
% 1.19/0.48 inference(superposition,[],[f1068,f998])).
% 1.19/0.48 thf(f1116,plain,(
% 1.19/0.48 ( ! [X0 : real] : ((((ord_less_real @ zero_zero_real @ X0)) != $true) | (zero_zero_real != ((sK6 @ p))) | ($true = ((member_a @ (sK10 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ X0)))) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5)))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6)))) ) | ~spl14_2),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f1111])).
% 1.19/0.48 thf(f1119,plain,(
% 1.19/0.48 ( ! [X0 : real] : (($true = ((member_a @ (sK10 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ X0)))) | (((ord_less_real @ zero_zero_real @ X0)) != $true) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK6))) | ($true != ((member_a @ (sK9 @ sK6 @ X0) @ (elemen154694473ball_a @ p @ sK5))))) ) | ~spl14_2),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1116,f1000])).
% 1.19/0.48 thf(f1121,plain,(
% 1.19/0.48 ($true != $true) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true = ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ~spl14_2),
% 1.19/0.48 inference(superposition,[],[f1001,f1119])).
% 1.19/0.48 thf(f1122,plain,(
% 1.19/0.48 ($true != ((ord_less_real @ zero_zero_real @ sK5))) | ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ($true = ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ~spl14_2),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f1121])).
% 1.19/0.48 thf(f1123,plain,(
% 1.19/0.48 ($true = ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ~spl14_2),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1122,f996])).
% 1.19/0.48 thf(f1124,plain,(
% 1.19/0.48 ($true = ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ~spl14_2),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1123,f997])).
% 1.19/0.48 thf(f1125,plain,(
% 1.19/0.48 ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | (((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5)))))) = $true) | ~spl14_2),
% 1.19/0.48 inference(forward_demodulation,[],[f1124,f957])).
% 1.19/0.48 thf(f1127,definition,(
% 1.19/0.48 spl14_6 <=> (((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5)))))) = $true)),
% 1.19/0.48 introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition])).
% 1.19/0.48 thf(f1128,plain,(
% 1.19/0.48 (((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5)))))) != $true) | spl14_6),
% 1.19/0.48 inference(avatar_component_clause,[],[f1127])).
% 1.19/0.48 thf(f1129,plain,(
% 1.19/0.48 (((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5)))))) = $true) | ~spl14_6),
% 1.19/0.48 inference(avatar_component_clause,[],[f1127])).
% 1.19/0.48 thf(f1131,definition,(
% 1.19/0.48 spl14_7 <=> ($true = ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5))))),
% 1.19/0.48 introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition])).
% 1.19/0.48 thf(f1132,plain,(
% 1.19/0.48 ($true = ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ~spl14_7),
% 1.19/0.48 inference(avatar_component_clause,[],[f1131])).
% 1.19/0.48 thf(f1133,plain,(
% 1.19/0.48 ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | spl14_7),
% 1.19/0.48 inference(avatar_component_clause,[],[f1131])).
% 1.19/0.48 thf(f1134,plain,(
% 1.19/0.48 spl14_6 | ~spl14_7 | ~spl14_2),
% 1.19/0.48 inference(avatar_split_clause,[],[f1125,f1067,f1131,f1127])).
% 1.19/0.48 thf(f1142,plain,(
% 1.19/0.48 (zero_zero_real != ((sK6 @ p))) | ($true != ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | ($true != $true) | (~spl14_4 | spl14_7)),
% 1.19/0.48 inference(superposition,[],[f1133,f1076])).
% 1.19/0.48 thf(f1144,plain,(
% 1.19/0.48 (zero_zero_real != ((sK6 @ p))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true != ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | (~spl14_4 | spl14_7)),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f1142])).
% 1.19/0.48 thf(f1146,plain,(
% 1.19/0.48 ($true != ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | (~spl14_4 | spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1144,f1000])).
% 1.19/0.48 thf(f1147,plain,(
% 1.19/0.48 ($true != ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | (~spl14_4 | spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1146,f997])).
% 1.19/0.48 thf(f1148,plain,(
% 1.19/0.48 ($true != ((ord_less_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5))) @ one_one_real))) | (~spl14_4 | spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1147,f996])).
% 1.19/0.48 thf(f1149,plain,(
% 1.19/0.48 (((ord_less_real @ (uminus_uminus_real @ one_one_real) @ (uminus_uminus_real @ (abs_abs_real @ (sK6 @ (sK10 @ sK6 @ sK5)))))) != $true) | (~spl14_4 | spl14_7)),
% 1.19/0.48 inference(forward_demodulation,[],[f1148,f957])).
% 1.19/0.48 thf(f1150,plain,(
% 1.19/0.48 ~spl14_6 | ~spl14_4 | spl14_7),
% 1.19/0.48 inference(avatar_split_clause,[],[f1149,f1131,f1075,f1127])).
% 1.19/0.48 thf(f1198,plain,(
% 1.19/0.48 ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true != $true) | (zero_zero_real != ((sK6 @ p))) | ($true = ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | (~spl14_3 | spl14_6)),
% 1.19/0.48 inference(superposition,[],[f1128,f1096])).
% 1.19/0.48 thf(f1202,plain,(
% 1.19/0.48 ($true = ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | (zero_zero_real != ((sK6 @ p))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | (~spl14_3 | spl14_6)),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f1198])).
% 1.19/0.48 thf(f1204,plain,(
% 1.19/0.48 (zero_zero_real != ((sK6 @ p))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | (~spl14_3 | spl14_6 | spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1202,f1133])).
% 1.19/0.48 thf(f1206,plain,(
% 1.19/0.48 ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | (~spl14_3 | spl14_6 | spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1204,f1000])).
% 1.19/0.48 thf(f1216,plain,(
% 1.19/0.48 $false | (~spl14_3 | spl14_6 | spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1206,f999])).
% 1.19/0.48 thf(f1217,plain,(
% 1.19/0.48 ~spl14_3 | spl14_6 | spl14_7),
% 1.19/0.48 inference(avatar_contradiction_clause,[],[f1216])).
% 1.19/0.48 thf(f1244,plain,(
% 1.19/0.48 ($true != ((ord_less_real @ zero_zero_real @ sK5))) | ($true != $true) | ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | (~spl14_5 | ~spl14_6)),
% 1.19/0.48 inference(superposition,[],[f1109,f1129])).
% 1.19/0.48 thf(f1245,plain,(
% 1.19/0.48 ($true != ((member_a @ (sK9 @ sK6 @ sK5) @ (elemen154694473ball_a @ p @ sK5)))) | ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | (~spl14_5 | ~spl14_6)),
% 1.19/0.48 inference(trivial_inequality_removal,[],[f1244])).
% 1.19/0.48 thf(f1246,plain,(
% 1.19/0.48 ($true != ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK5) @ sK6))) | ($true != ((ord_less_real @ zero_zero_real @ sK5))) | (~spl14_5 | ~spl14_6 | ~spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1245,f1132])).
% 1.19/0.48 thf(f1247,plain,(
% 1.19/0.48 ($true != ((ord_less_real @ zero_zero_real @ sK5))) | (~spl14_5 | ~spl14_6 | ~spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1246,f997])).
% 1.19/0.48 thf(f1248,plain,(
% 1.19/0.48 $false | (~spl14_5 | ~spl14_6 | ~spl14_7)),
% 1.19/0.48 inference(forward_subsumption_resolution,[],[f1247,f996])).
% 1.19/0.48 thf(f1249,plain,(
% 1.19/0.48 ~spl14_5 | ~spl14_6 | ~spl14_7),
% 1.19/0.48 inference(avatar_contradiction_clause,[],[f1248])).
% 1.19/0.48 cnf(s1, plain, spl14_1 | spl14_2, inference(sat_conversion,[],[f1069])).
% 1.19/0.48 cnf(s2, plain, spl14_1 | spl14_3, inference(sat_conversion,[],[f1073])).
% 1.19/0.48 cnf(s3, plain, spl14_1 | spl14_4, inference(sat_conversion,[],[f1077])).
% 1.19/0.48 cnf(s4, plain, spl14_1 | spl14_5, inference(sat_conversion,[],[f1081])).
% 1.19/0.48 cnf(s5, plain, ~spl14_1, inference(sat_conversion,[],[f1082])).
% 1.19/0.48 cnf(s6, plain, ~spl14_2 | spl14_6 | ~spl14_7, inference(sat_conversion,[],[f1134])).
% 1.19/0.48 cnf(s7, plain, ~spl14_4 | ~spl14_6 | spl14_7, inference(sat_conversion,[],[f1150])).
% 1.19/0.48 cnf(s9, plain, ~spl14_3 | spl14_6 | spl14_7, inference(sat_conversion,[],[f1217])).
% 1.19/0.48 cnf(s10, plain, ~spl14_5 | ~spl14_6 | ~spl14_7, inference(sat_conversion,[],[f1249])).
% 1.19/0.48 cnf(s11, plain, spl14_5, inference(rat,[],[s4,s5])).
% 1.19/0.48 cnf(s12, plain, spl14_4, inference(rat,[],[s3,s5])).
% 1.19/0.48 cnf(s13, plain, spl14_3, inference(rat,[],[s2,s5])).
% 1.19/0.48 cnf(s14, plain, spl14_2, inference(rat,[],[s1,s5])).
% 1.19/0.48 cnf(s15, plain, spl14_6, inference(rat,[],[s6,s9,s14,s13])).
% 1.19/0.48 cnf(s16, plain, ~spl14_7, inference(rat,[],[s10,s11,s15])).
% 1.19/0.48 cnf(s17, plain, $false, inference(rat,[],[s7,s12,s16,s15])).
% 1.19/0.48 thf(f1250,plain,(
% 1.19/0.48 $false),
% 1.19/0.48 inference(avatar_sat_refutation,[],[s17])).
% 1.19/0.48 % SZS output end Proof for theBenchmark
% 1.19/0.48 % (1237156)------------------------------
% 1.19/0.48 % (1237156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.48 % (1237156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.48 % (1237156)CaDiCaL version: 2.1.3
% 1.19/0.48 % (1237156)Termination reason: Refutation
% 1.19/0.48 % (1237156)Time elapsed: 0.050 s
% 1.19/0.48 % (1237156)Peak memory usage: 14 MB
% 1.19/0.48 % (1237156)Instructions burned: 101 (million)
% 1.19/0.48 % (1237091)Success in time 0.179 s
% 1.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------