%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP147^2 : 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 : n013.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 0.62s 0.45s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP147^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 20:00:26 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running higher-order theorem proving
% 0.07/0.25 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
% 0.62/0.40 % (2588656)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.40 % (2588661)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1052228174:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.40 % (2588667)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.40 % (2588667)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
% 0.62/0.40 % (2588662)lrs+10_16_si=on:nwc=1.5:random_seed=2819219151:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.40 % (2588663)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3796404326:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.40 % (2588665)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2907748663:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.40 % (2588664)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=644890633: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)
% 0.62/0.40 % (2588667)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=3317573766:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.40 % (2588666)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1955635765:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.40 % (2588663)Instruction limit reached!
% 0.62/0.40 % (2588663)------------------------------
% 0.62/0.40 % (2588663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.40 % (2588663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.40 % (2588663)CaDiCaL version: 2.1.3
% 0.62/0.40 % (2588663)Termination reason: Instruction limit
% 0.62/0.40 % (2588663)Termination phase: shuffling
% 0.62/0.40 % (2588663)Time elapsed: 0.002 s
% 0.62/0.40 % (2588663)Peak memory usage: 10 MB
% 0.62/0.40 % (2588663)Instructions burned: 4 (million)
% 0.62/0.40 % (2588662)Instruction limit reached!
% 0.62/0.40 % (2588662)------------------------------
% 0.62/0.40 % (2588662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.40 % (2588662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.40 % (2588662)CaDiCaL version: 2.1.3
% 0.62/0.40 % (2588662)Termination reason: Instruction limit
% 0.62/0.40 % (2588662)Termination phase: shuffling
% 0.62/0.40 % (2588662)Time elapsed: 0.009 s
% 0.62/0.40 % (2588662)Peak memory usage: 10 MB
% 0.62/0.40 % (2588662)Instructions burned: 19 (million)
% 0.62/0.40 % (2588665)Instruction limit reached!
% 0.62/0.40 % (2588665)------------------------------
% 0.62/0.40 % (2588665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.40 % (2588665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.40 % (2588665)CaDiCaL version: 2.1.3
% 0.62/0.40 % (2588665)Termination reason: Instruction limit
% 0.62/0.40 % (2588665)Termination phase: Property scanning
% 0.62/0.40 % (2588665)Time elapsed: 0.012 s
% 0.62/0.40 % (2588665)Peak memory usage: 10 MB
% 0.62/0.40 % (2588665)Instructions burned: 26 (million)
% 0.62/0.40 % (2588661)Instruction limit reached!
% 0.62/0.40 % (2588661)------------------------------
% 0.62/0.40 % (2588661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.40 % (2588661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.40 % (2588661)CaDiCaL version: 2.1.3
% 0.62/0.40 % (2588661)Termination reason: Instruction limit
% 0.62/0.40 % (2588661)Termination phase: Saturation
% 0.62/0.40 % (2588661)Time elapsed: 0.021 s
% 0.62/0.40 % (2588661)Peak memory usage: 12 MB
% 0.62/0.40 % (2588661)Instructions burned: 87 (million)
% 0.62/0.40 % (2588675)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2786642897:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.40 % (2588678)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2468183012:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.44 % (2588675)Instruction limit reached!
% 0.62/0.44 % (2588675)------------------------------
% 0.62/0.44 % (2588675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2588675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2588675)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2588675)Termination reason: Instruction limit
% 0.62/0.44 % (2588675)Termination phase: shuffling
% 0.62/0.44 % (2588675)Time elapsed: 0.002 s
% 0.62/0.44 % (2588675)Peak memory usage: 10 MB
% 0.62/0.44 % (2588675)Instructions burned: 4 (million)
% 0.62/0.44 % (2588677)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.44 % (2588678)Instruction limit reached!
% 0.62/0.44 % (2588678)------------------------------
% 0.62/0.44 % (2588678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2588678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2588678)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2588678)Termination reason: Instruction limit
% 0.62/0.44 % (2588678)Termination phase: shuffling
% 0.62/0.44 % (2588678)Time elapsed: 0.004 s
% 0.62/0.44 % (2588678)Peak memory usage: 10 MB
% 0.62/0.44 % (2588678)Instructions burned: 15 (million)
% 0.62/0.44 % (2588677)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3073414408:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.44 % (2588666)Instruction limit reached!
% 0.62/0.44 % (2588666)------------------------------
% 0.62/0.44 % (2588666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2588666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2588666)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2588666)Termination reason: Instruction limit
% 0.62/0.44 % (2588666)Termination phase: Property scanning
% 0.62/0.44 % (2588666)Time elapsed: 0.034 s
% 0.62/0.44 % (2588666)Peak memory usage: 12 MB
% 0.62/0.44 % (2588666)Instructions burned: 75 (million)
% 0.62/0.44 % (2588677)Instruction limit reached!
% 0.62/0.44 % (2588677)------------------------------
% 0.62/0.44 % (2588677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2588677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2588677)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2588677)Termination reason: Instruction limit
% 0.62/0.44 % (2588677)Termination phase: shuffling
% 0.62/0.44 % (2588677)Time elapsed: 0.004 s
% 0.62/0.44 % (2588677)Peak memory usage: 10 MB
% 0.62/0.44 % (2588677)Instructions burned: 8 (million)
% 0.62/0.44 % (2588676)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4131625730:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.44 % (2588681)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
% 0.62/0.44 % (2588681)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.44 % (2588683)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=1888784993:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.44 % (2588681)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=634776483:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.44 % (2588676)Instruction limit reached!
% 0.62/0.44 % (2588676)------------------------------
% 0.62/0.44 % (2588676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.44 % (2588676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.44 % (2588676)CaDiCaL version: 2.1.3
% 0.62/0.44 % (2588676)Termination reason: Instruction limit
% 0.62/0.44 % (2588676)Termination phase: shuffling
% 0.62/0.44 % (2588676)Time elapsed: 0.005 s
% 0.62/0.44 % (2588676)Peak memory usage: 10 MB
% 0.62/0.44 % (2588676)Instructions burned: 5 (million)
% 0.62/0.44 % (2588685)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.45 % (2588684)lrs+10_1_si=on:cs=on:random_seed=3336503950:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.45 % (2588685)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=2257943402:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.45 % (2588685)Instruction limit reached!
% 0.62/0.45 % (2588685)------------------------------
% 0.62/0.45 % (2588685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588685)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588685)Termination reason: Instruction limit
% 0.62/0.45 % (2588685)Termination phase: shuffling
% 0.62/0.45 % (2588685)Time elapsed: 0.001 s
% 0.62/0.45 % (2588685)Peak memory usage: 10 MB
% 0.62/0.45 % (2588685)Instructions burned: 2 (million)
% 0.62/0.45 % (2588684)Instruction limit reached!
% 0.62/0.45 % (2588684)------------------------------
% 0.62/0.45 % (2588684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588684)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588684)Termination reason: Instruction limit
% 0.62/0.45 % (2588684)Termination phase: shuffling
% 0.62/0.45 % (2588684)Time elapsed: 0.005 s
% 0.62/0.45 % (2588684)Peak memory usage: 10 MB
% 0.62/0.45 % (2588684)Instructions burned: 10 (million)
% 0.62/0.45 % (2588681)Instruction limit reached!
% 0.62/0.45 % (2588681)------------------------------
% 0.62/0.45 % (2588681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588681)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588681)Termination reason: Instruction limit
% 0.62/0.45 % (2588681)Termination phase: Property scanning
% 0.62/0.45 % (2588681)Time elapsed: 0.017 s
% 0.62/0.45 % (2588681)Peak memory usage: 10 MB
% 0.62/0.45 % (2588681)Instructions burned: 30 (million)
% 0.62/0.45 % (2588683)Instruction limit reached!
% 0.62/0.45 % (2588683)------------------------------
% 0.62/0.45 % (2588683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588683)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588683)Termination reason: Instruction limit
% 0.62/0.45 % (2588683)Termination phase: Property scanning
% 0.62/0.45 % (2588683)Time elapsed: 0.020 s
% 0.62/0.45 % (2588683)Peak memory usage: 11 MB
% 0.62/0.45 % (2588683)Instructions burned: 88 (million)
% 0.62/0.45 % (2588689)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3126471353:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.62/0.45 % (2588695)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3017132711:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.62/0.45 % (2588692)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2349439747:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.62/0.45 % (2588667)Instruction limit reached!
% 0.62/0.45 % (2588667)------------------------------
% 0.62/0.45 % (2588667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588667)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588667)Termination reason: Instruction limit
% 0.62/0.45 % (2588667)Termination phase: Saturation
% 0.62/0.45 % (2588667)Time elapsed: 0.077 s
% 0.62/0.45 % (2588667)Peak memory usage: 13 MB
% 0.62/0.45 % (2588667)Instructions burned: 158 (million)
% 0.62/0.45 % (2588693)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2345687238:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.62/0.45 % (2588694)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3630036271:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.45 % (2588689)Instruction limit reached!
% 0.62/0.45 % (2588689)------------------------------
% 0.62/0.45 % (2588689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588689)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588689)Termination reason: Instruction limit
% 0.62/0.45 % (2588689)Termination phase: SInE selection
% 0.62/0.45 % (2588689)Time elapsed: 0.017 s
% 0.62/0.45 % (2588689)Peak memory usage: 11 MB
% 0.62/0.45 % (2588689)Instructions burned: 38 (million)
% 0.62/0.45 % (2588694)Instruction limit reached!
% 0.62/0.45 % (2588694)------------------------------
% 0.62/0.45 % (2588694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588694)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588694)Termination reason: Instruction limit
% 0.62/0.45 % (2588694)Termination phase: shuffling
% 0.62/0.45 % (2588694)Time elapsed: 0.006 s
% 0.62/0.45 % (2588694)Peak memory usage: 10 MB
% 0.62/0.45 % (2588694)Instructions burned: 14 (million)
% 0.62/0.45 % (2588693)Instruction limit reached!
% 0.62/0.45 % (2588693)------------------------------
% 0.62/0.45 % (2588693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588693)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588693)Termination reason: Instruction limit
% 0.62/0.45 % (2588693)Termination phase: Property scanning
% 0.62/0.45 % (2588693)Time elapsed: 0.012 s
% 0.62/0.45 % (2588693)Peak memory usage: 10 MB
% 0.62/0.45 % (2588693)Instructions burned: 27 (million)
% 0.62/0.45 % (2588700)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3457962060:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.45 % (2588702)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3514904744: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)
% 0.62/0.45 % (2588700)Instruction limit reached!
% 0.62/0.45 % (2588700)------------------------------
% 0.62/0.45 % (2588700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588700)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588700)Termination reason: Instruction limit
% 0.62/0.45 % (2588700)Termination phase: shuffling
% 0.62/0.45 % (2588700)Time elapsed: 0.007 s
% 0.62/0.45 % (2588700)Peak memory usage: 10 MB
% 0.62/0.45 % (2588700)Instructions burned: 15 (million)
% 0.62/0.45 % (2588702)Instruction limit reached!
% 0.62/0.45 % (2588702)------------------------------
% 0.62/0.45 % (2588702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588702)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588702)Termination reason: Instruction limit
% 0.62/0.45 % (2588702)Termination phase: shuffling
% 0.62/0.45 % (2588702)Time elapsed: 0.002 s
% 0.62/0.45 % (2588702)Peak memory usage: 10 MB
% 0.62/0.45 % (2588702)Instructions burned: 4 (million)
% 0.62/0.45 % (2588703)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1122948954:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.62/0.45 % (2588704)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4039128597:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.62/0.45 % (2588704)Instruction limit reached!
% 0.62/0.45 % (2588704)------------------------------
% 0.62/0.45 % (2588704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588704)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588704)Termination reason: Instruction limit
% 0.62/0.45 % (2588704)Termination phase: Property scanning
% 0.62/0.45 % (2588704)Time elapsed: 0.010 s
% 0.62/0.45 % (2588704)Peak memory usage: 10 MB
% 0.62/0.45 % (2588704)Instructions burned: 23 (million)
% 0.62/0.45 % (2588708)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
% 0.62/0.45 % (2588708)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.62/0.45 % (2588703)Instruction limit reached!
% 0.62/0.45 % (2588703)------------------------------
% 0.62/0.45 % (2588703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588707)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=976988966:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.62/0.45 % (2588703)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588703)Termination reason: Instruction limit
% 0.62/0.45 % (2588703)Termination phase: shuffling
% 0.62/0.45 % (2588703)Time elapsed: 0.016 s
% 0.62/0.45 % (2588703)Peak memory usage: 10 MB
% 0.62/0.45 % (2588703)Instructions burned: 26 (million)
% 0.62/0.45 % (2588708)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=2469974588:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.45 % (2588692) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2588656-2588692"...
% 0.62/0.45 % (2588708)Instruction limit reached!
% 0.62/0.45 % (2588708)------------------------------
% 0.62/0.45 % (2588708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2588708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2588708)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2588708)Termination reason: Instruction limit
% 0.62/0.45 % (2588708)Termination phase: shuffling
% 0.62/0.45 % (2588708)Time elapsed: 0.007 s
% 0.62/0.45 % (2588708)Peak memory usage: 10 MB
% 0.62/0.45 % (2588708)Instructions burned: 15 (million)
% 0.62/0.45 % (2588692)...printing done.
% 0.62/0.45 % (2588692)Refutation found. Thanks to Tanya!
% 0.62/0.45 % SZS status Theorem for theBenchmark
% 0.62/0.45 % SZS output start Proof for theBenchmark
% 0.62/0.45 thf(type_def_5, type, real: $tType).
% 0.62/0.45 thf(type_def_6, type, set: $tType > $tType).
% 0.62/0.45 thf(type_def_7, type, a: $tType).
% 0.62/0.45 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.62/0.45 thf(func_def_0, type, finite_finite: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_1, type, countable: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_4, type, abs_if: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_5, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_6, type, group_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_7, type, monoid_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_8, type, idom_abs_sgn: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_9, type, zero_neq_one: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_10, type, ab_group_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_11, type, zero_less_one: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_12, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_13, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_14, type, linordered_ring: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_15, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_16, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_17, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_18, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_19, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_20, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_21, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_22, type, ordere142940540dd_abs: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_23, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_24, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_25, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_26, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_27, type, ordere1818651114id_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_28, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_29, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_30, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_31, type, execut510477386_space: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_32, type, elemen1815086676c_ball: !>[X0: $tType]:((X0 > real > set @ X0))).
% 0.62/0.45 thf(func_def_33, type, auto_l1112008849e_ivl0: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > set @ real))).
% 0.62/0.45 thf(func_def_34, type, auto_ll_on_flow0: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > real > X0))).
% 0.62/0.45 thf(func_def_35, type, abs_abs: !>[X0: $tType]:((X0 > X0))).
% 0.62/0.45 thf(func_def_36, type, one_one: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_37, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.62/0.45 thf(func_def_38, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.62/0.45 thf(func_def_39, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_40, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.62/0.45 thf(func_def_41, type, initia826609931terval: (set @ real > $o)).
% 0.62/0.45 thf(func_def_42, type, limit_1335059408_point: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_43, type, limit_1052139091_point: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_44, type, line_open_segment: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.62/0.45 thf(func_def_45, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_46, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_47, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_48, type, top_top: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_49, type, period385816147_orbit: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_50, type, period1153813292period: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > real))).
% 0.62/0.45 thf(func_def_51, type, period862636932_orbit: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_52, type, poinca272511729egment: !>[X0: $tType]:(((X0 > X0) > set @ X0 > X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_53, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.62/0.45 thf(func_def_54, type, topolo2071040574ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 0.62/0.45 thf(func_def_55, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.62/0.45 thf(func_def_56, type, x: set @ a).
% 0.62/0.45 thf(func_def_57, type, a2: a).
% 0.62/0.45 thf(func_def_58, type, b: a).
% 0.62/0.45 thf(func_def_59, type, f: (a > a)).
% 0.62/0.45 thf(func_def_60, type, p: a).
% 0.62/0.45 thf(func_def_61, type, thesisa: $o).
% 0.62/0.45 thf(func_def_62, type, x2: a).
% 0.62/0.45 thf(func_def_66, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 0.62/0.45 thf(func_def_68, type, db0: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_69, type, db1: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_70, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.62/0.45 thf(func_def_71, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.62/0.45 thf(func_def_72, type, vNOT: ($o > $o)).
% 0.62/0.45 thf(func_def_73, type, vOR: ($o > $o > $o)).
% 0.62/0.45 thf(func_def_74, type, db2: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_75, type, sK0: (a > a)).
% 0.62/0.45 thf(func_def_76, type, sK1: (a > a)).
% 0.62/0.45 thf(func_def_77, type, sK2: (real > a > a > a > real)).
% 0.62/0.45 thf(func_def_78, type, sK3: (real > a > a > a > a > real)).
% 0.62/0.45 thf(func_def_79, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.62/0.45 thf(func_def_80, type, sK5: (set @ a > (a > a) > a)).
% 0.62/0.45 thf(func_def_81, type, sK6: ((a > a) > set @ a > a)).
% 0.62/0.45 thf(func_def_82, type, sK7: ((a > real) > real > a)).
% 0.62/0.45 thf(func_def_83, type, sK8: ((a > real) > real > a)).
% 0.62/0.45 thf(func_def_84, type, sK9: ((a > a) > set @ a > a)).
% 0.62/0.45 thf(func_def_85, type, sK10: (a > a)).
% 0.62/0.45 thf(func_def_86, type, sK11: (a > a)).
% 0.62/0.45 thf(func_def_87, type, sK12: (set @ a > (a > a) > a)).
% 0.62/0.45 thf(func_def_88, type, sK13: (a > real)).
% 0.62/0.45 thf(func_def_89, type, sK14: real).
% 0.62/0.45 thf(func_def_90, type, sK15: (a > real)).
% 0.62/0.45 thf(func_def_91, type, sK16: (real > (a > real) > a)).
% 0.62/0.45 thf(func_def_92, type, sK17: (real > (a > real) > a)).
% 0.62/0.45 thf(func_def_93, type, sK18: (a > real)).
% 0.62/0.45 thf(f4,axiom,(
% 0.62/0.45 ~ ! [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))) => (! [X2 : a] : ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) => (ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real)) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) => (((X1 @ p)) != zero_zero @ real))))))),
% 0.62/0.45 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)).
% 0.62/0.45 thf(f319,axiom,(
% 0.62/0.45 ! [X0 : real,X1 : (a > real)] : ((ord_less @ real @ zero_zero @ real @ X0) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) => ((((X1 @ p)) = zero_zero @ real) => (! [X2 : a] : ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0)) => (ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real)) => (! [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))) => thesisa)))))),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.62/0.45 thf(f320,conjecture,(
% 0.62/0.45 thesisa),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.62/0.45 thf(f321,negated_conjecture,(
% 0.62/0.45 ~thesisa),
% 0.62/0.45 inference(negated_conjecture,[status(cth)],[f320])).
% 0.62/0.45 thf(f433,plain,(
% 0.62/0.45 ~thesisa),
% 0.62/0.45 inference(rectify,[],[f321])).
% 0.62/0.45 thf(f434,plain,(
% 0.62/0.45 ~ (thesisa = $true)),
% 0.62/0.45 inference(fool_elimination,[],[f433])).
% 0.62/0.45 thf(f593,plain,(
% 0.62/0.45 ! [X0 : real,X1 : (a > real)] : ((ord_less @ real @ zero_zero @ real @ X0) => ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1) => ((((X1 @ p)) = zero_zero @ real) => (! [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)))))),
% 0.62/0.45 inference(rectify,[],[f319])).
% 0.62/0.45 thf(f594,plain,(
% 0.62/0.45 ! [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)) = $true)) => (! [X3 : a] : (($true = ((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))))) => (thesisa = $true))))))),
% 0.62/0.45 inference(fool_elimination,[],[f593])).
% 0.62/0.45 thf(f743,plain,(
% 0.62/0.45 ~ ! [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) => (((X1 @ p)) != zero_zero @ real))))))),
% 0.62/0.45 inference(rectify,[],[f4])).
% 0.62/0.45 thf(f744,plain,(
% 0.62/0.45 ~ ! [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))) = $true)) => (! [X3 : a] : (($true = ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)))) => ($true = ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real)))) => ((((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) = $true) => (zero_zero @ real != ((X1 @ p))))))))),
% 0.62/0.45 inference(fool_elimination,[],[f743])).
% 0.62/0.45 thf(f939,plain,(
% 0.62/0.45 (thesisa != $true)),
% 0.62/0.45 inference(flattening,[],[f434])).
% 0.62/0.45 thf(f949,plain,(
% 0.62/0.45 ! [X0 : real,X1 : (a > real)] : ((((((thesisa = $true) | ? [X3 : a] : (($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b)))) & ($true = ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)))))) | ? [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)) != $true))),
% 0.62/0.45 inference(ennf_transformation,[],[f594])).
% 0.62/0.45 thf(f950,plain,(
% 0.62/0.45 ! [X1 : (a > real),X0 : real] : (? [X3 : a] : (($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b)))) & ($true = ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0))))) | (zero_zero @ real != ((X1 @ p))) | (thesisa = $true) | ? [X2 : a] : ((((ord_less @ real @ (abs_abs @ real @ (X1 @ X2)) @ one_one @ real)) != $true) & (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0))) = $true)) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) != $true) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true))),
% 0.62/0.45 inference(flattening,[],[f949])).
% 0.62/0.45 thf(f971,plain,(
% 0.62/0.45 ? [X0 : real] : (? [X1 : (a > real)] : (((((zero_zero @ real = ((X1 @ p))) & (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) = $true)) & ! [X3 : a] : (($true = ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real))) | ($true != ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0)))))) & ! [X2 : a] : ((((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b))) = $true) | (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0))) != $true))) & (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) = $true)) & (((ord_less @ real @ zero_zero @ real @ X0)) = $true))),
% 0.62/0.45 inference(ennf_transformation,[],[f744])).
% 0.62/0.45 thf(f972,plain,(
% 0.62/0.45 ? [X0 : real] : ((((ord_less @ real @ zero_zero @ real @ X0)) = $true) & ? [X1 : (a > real)] : ((zero_zero @ real = ((X1 @ p))) & (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) = $true) & ! [X3 : a] : (($true = ((ord_less @ real @ (abs_abs @ real @ (X1 @ X3)) @ one_one @ real))) | ($true != ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0))))) & ! [X2 : a] : ((((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment @ a @ a2 @ b))) = $true) | (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X0))) != $true)) & (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) = $true)))),
% 0.62/0.45 inference(flattening,[],[f971])).
% 0.62/0.45 thf(f1074,plain,(
% 0.62/0.45 ? [X0 : real] : ((((ord_less @ real @ zero_zero @ real @ X0)) = $true) & ? [X1 : (a > real)] : ((zero_zero @ real = ((X1 @ p))) & (((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))) != $true)) & ! [X3 : a] : (($true = ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment @ a @ a2 @ b)))) | ($true != ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X0))))) & (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ X1)) = $true)))),
% 0.62/0.45 inference(rectify,[],[f972])).
% 0.62/0.45 thf(f1075,plain,(
% 0.62/0.45 (((ord_less @ real @ zero_zero @ real @ sK14)) = $true) & ((zero_zero @ real = ((sK15 @ p))) & ($true = ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) & ! [X2 : a] : (($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ X2)) @ one_one @ real))) | (((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true)) & ! [X3 : a] : ((((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (sK15 @ X3)) @ (line_open_segment @ a @ a2 @ b))) = $true) | ($true != ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK14))))) & ($true = ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))))),
% 0.62/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f1074])).
% 0.62/0.45 thf(f1076,plain,(
% 0.62/0.45 ! [X0 : (a > real),X1 : real] : (? [X2 : a] : (($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X2 @ (X0 @ X2)) @ (line_open_segment @ a @ a2 @ b)))) & ($true = ((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ X1))))) | (zero_zero @ real != ((X0 @ p))) | (thesisa = $true) | ? [X3 : a] : (($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ X3)) @ one_one @ real))) & ($true = ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ X1))))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true))),
% 0.62/0.45 inference(rectify,[],[f950])).
% 0.62/0.45 thf(f1077,plain,(
% 0.62/0.45 ! [X0 : (a > real),X1 : real] : ((($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)))) & (((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true)) | (zero_zero @ real != ((X0 @ p))) | (thesisa = $true) | (($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real))) & ($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true))),
% 0.62/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X2,sK1 @ X0),skolemize(X2,sK1 @ X0)],[f1076])).
% 0.62/0.45 thf(f1155,plain,(
% 0.62/0.45 ($true = ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15)))),
% 0.62/0.45 inference(cnf_transformation,[],[f1075])).
% 0.62/0.45 thf(f1156,plain,(
% 0.62/0.45 ( ! [X3 : a] : ((((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ X3 @ (sK15 @ X3)) @ (line_open_segment @ a @ a2 @ b))) = $true) | ($true != ((member @ a @ X3 @ (elemen1815086676c_ball @ a @ p @ sK14))))) )),
% 0.62/0.45 inference(cnf_transformation,[],[f1075])).
% 0.62/0.45 thf(f1157,plain,(
% 0.62/0.45 ( ! [X2 : a] : ((((member @ a @ X2 @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ X2)) @ one_one @ real)))) )),
% 0.62/0.45 inference(cnf_transformation,[],[f1075])).
% 0.62/0.45 thf(f1158,plain,(
% 0.62/0.45 ($true = ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15)))),
% 0.62/0.45 inference(cnf_transformation,[],[f1075])).
% 0.62/0.45 thf(f1159,plain,(
% 0.62/0.45 (zero_zero @ real = ((sK15 @ p)))),
% 0.62/0.45 inference(cnf_transformation,[],[f1075])).
% 0.62/0.45 thf(f1160,plain,(
% 0.62/0.45 (((ord_less @ real @ zero_zero @ real @ sK14)) = $true)),
% 0.62/0.45 inference(cnf_transformation,[],[f1075])).
% 0.62/0.45 thf(f1162,plain,(
% 0.62/0.45 ( ! [X0 : (a > real),X1 : real] : (($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (zero_zero @ real != ((X0 @ p))) | ($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1)))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | (((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true) | (thesisa = $true)) )),
% 0.62/0.46 inference(cnf_transformation,[],[f1077])).
% 0.62/0.46 thf(f1163,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : (($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real))) | (thesisa = $true) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (zero_zero @ real != ((X0 @ p))) | (((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true)) )),
% 0.62/0.46 inference(cnf_transformation,[],[f1077])).
% 0.62/0.46 thf(f1164,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : (($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (zero_zero @ real != ((X0 @ p))) | ($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)))) | ($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1)))) | (thesisa = $true) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true)) )),
% 0.62/0.46 inference(cnf_transformation,[],[f1077])).
% 0.62/0.46 thf(f1165,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : ((zero_zero @ real != ((X0 @ p))) | (thesisa = $true) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | ($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | ($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b))))) )),
% 0.62/0.46 inference(cnf_transformation,[],[f1077])).
% 0.62/0.46 thf(f1178,plain,(
% 0.62/0.46 (thesisa != $true)),
% 0.62/0.46 inference(cnf_transformation,[],[f939])).
% 0.62/0.46 thf(f1199,definition,(
% 0.62/0.46 spl19_1 <=> ! [X0 : (a > real),X1 : real] : (($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | (((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true) | (zero_zero @ real != ((X0 @ p))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))))),
% 0.62/0.46 introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition])).
% 0.62/0.46 thf(f1200,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : ((((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | ($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real))) | (zero_zero @ real != ((X0 @ p))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0)))) ) | ~spl19_1),
% 0.62/0.46 inference(avatar_component_clause,[],[f1199])).
% 0.62/0.46 thf(f1202,definition,(
% 0.62/0.46 spl19_2 <=> (thesisa = $true)),
% 0.62/0.46 introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition])).
% 0.62/0.46 thf(f1205,plain,(
% 0.62/0.46 spl19_1 | spl19_2),
% 0.62/0.46 inference(avatar_split_clause,[],[f1163,f1202,f1199])).
% 0.62/0.46 thf(f1207,definition,(
% 0.62/0.46 spl19_3 <=> ! [X0 : (a > real),X1 : real] : (($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | ($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1)))) | (zero_zero @ real != ((X0 @ p))))),
% 0.62/0.46 introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition])).
% 0.62/0.46 thf(f1208,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : (($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1)))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (((member @ a @ (sK16 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1))) = $true) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | (zero_zero @ real != ((X0 @ p)))) ) | ~spl19_3),
% 0.62/0.46 inference(avatar_component_clause,[],[f1207])).
% 0.62/0.46 thf(f1209,plain,(
% 0.62/0.46 spl19_3 | spl19_2),
% 0.62/0.46 inference(avatar_split_clause,[],[f1162,f1202,f1207])).
% 0.62/0.46 thf(f1210,plain,(
% 0.62/0.46 ~spl19_2),
% 0.62/0.46 inference(avatar_split_clause,[],[f1178,f1202])).
% 0.62/0.46 thf(f1212,definition,(
% 0.62/0.46 spl19_4 <=> ! [X0 : (a > real),X1 : real] : (($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | ($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1)))) | ($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)))) | (zero_zero @ real != ((X0 @ p))))),
% 0.62/0.46 introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition])).
% 0.62/0.46 thf(f1213,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : (($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)))) | (zero_zero @ real != ((X0 @ p))) | ($true = ((member @ a @ (sK17 @ X1 @ X0) @ (elemen1815086676c_ball @ a @ p @ X1)))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true)) ) | ~spl19_4),
% 0.62/0.46 inference(avatar_component_clause,[],[f1212])).
% 0.62/0.46 thf(f1214,plain,(
% 0.62/0.46 spl19_4 | spl19_2),
% 0.62/0.46 inference(avatar_split_clause,[],[f1164,f1202,f1212])).
% 0.62/0.46 thf(f1216,definition,(
% 0.62/0.46 spl19_5 <=> ! [X0 : (a > real),X1 : real] : ((zero_zero @ real != ((X0 @ p))) | ($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | ($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))))),
% 0.62/0.46 introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition])).
% 0.62/0.46 thf(f1217,plain,(
% 0.62/0.46 ( ! [X0 : (a > real),X1 : real] : (($true != ((member @ a @ (auto_ll_on_flow0 @ a @ f @ x @ (sK16 @ X1 @ X0) @ (X0 @ (sK16 @ X1 @ X0))) @ (line_open_segment @ a @ a2 @ b)))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X1) @ X0))) | (zero_zero @ real != ((X0 @ p))) | (((ord_less @ real @ zero_zero @ real @ X1)) != $true) | ($true != ((ord_less @ real @ (abs_abs @ real @ (X0 @ (sK17 @ X1 @ X0))) @ one_one @ real)))) ) | ~spl19_5),
% 0.62/0.46 inference(avatar_component_clause,[],[f1216])).
% 0.62/0.46 thf(f1218,plain,(
% 0.62/0.46 spl19_2 | spl19_5),
% 0.62/0.46 inference(avatar_split_clause,[],[f1165,f1216,f1202])).
% 0.62/0.46 thf(f1249,plain,(
% 0.62/0.46 ( ! [X0 : (a > real)] : (($true = ((member @ a @ (sK16 @ sK14 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ X0))) @ one_one @ real))) | (zero_zero @ real != ((X0 @ p))) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ X0)) != $true) | ($true != $true) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true)) ) | ~spl19_3),
% 0.62/0.46 inference(superposition,[],[f1157,f1208])).
% 0.62/0.46 thf(f1250,plain,(
% 0.62/0.46 ( ! [X0 : (a > real)] : ((((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ X0)) != $true) | (zero_zero @ real != ((X0 @ p))) | ($true = ((member @ a @ (sK16 @ sK14 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ X0))) @ one_one @ real)))) ) | ~spl19_3),
% 0.62/0.46 inference(trivial_inequality_removal,[],[f1249])).
% 0.62/0.46 thf(f1251,plain,(
% 0.62/0.46 ( ! [X0 : (a > real)] : (($true = ((member @ a @ (sK16 @ sK14 @ X0) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ X0)) != $true) | (zero_zero @ real != ((X0 @ p))) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ X0))) @ one_one @ real)))) ) | ~spl19_3),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1250,f1160])).
% 0.62/0.46 thf(f1258,plain,(
% 0.62/0.46 ( ! [X0 : real] : (($true != ((member @ a @ (sK16 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | ($true != $true) | (((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ X0 @ sK15))) @ one_one @ real)) != $true) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK15)) != $true) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true) | (zero_zero @ real != ((sK15 @ p)))) ) | ~spl19_5),
% 0.62/0.46 inference(superposition,[],[f1217,f1156])).
% 0.62/0.46 thf(f1263,plain,(
% 0.62/0.46 ( ! [X0 : real] : (($true != ((member @ a @ (sK16 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | (((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ X0 @ sK15))) @ one_one @ real)) != $true) | (zero_zero @ real != ((sK15 @ p))) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK15)) != $true)) ) | ~spl19_5),
% 0.62/0.46 inference(trivial_inequality_removal,[],[f1258])).
% 0.62/0.46 thf(f1266,plain,(
% 0.62/0.46 ( ! [X0 : real] : (($true != ((member @ a @ (sK16 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK15)) != $true) | (((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ X0 @ sK15))) @ one_one @ real)) != $true)) ) | ~spl19_5),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1263,f1159])).
% 0.62/0.46 thf(f1273,plain,(
% 0.62/0.46 ( ! [X0 : real] : (($true != ((member @ a @ (sK16 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14)))) | ($true = ((member @ a @ (sK17 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ X0)))) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK15)) != $true) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true) | ($true != $true) | (zero_zero @ real != ((sK15 @ p)))) ) | ~spl19_4),
% 0.62/0.46 inference(superposition,[],[f1213,f1156])).
% 0.62/0.46 thf(f1277,plain,(
% 0.62/0.46 ( ! [X0 : real] : ((((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK15)) != $true) | ($true = ((member @ a @ (sK17 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ X0)))) | (zero_zero @ real != ((sK15 @ p))) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true) | ($true != ((member @ a @ (sK16 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))))) ) | ~spl19_4),
% 0.62/0.46 inference(trivial_inequality_removal,[],[f1273])).
% 0.62/0.46 thf(f1281,plain,(
% 0.62/0.46 ( ! [X0 : real] : (($true = ((member @ a @ (sK17 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ X0)))) | (((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ X0) @ sK15)) != $true) | (((ord_less @ real @ zero_zero @ real @ X0)) != $true) | ($true != ((member @ a @ (sK16 @ X0 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))))) ) | ~spl19_4),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1277,f1159])).
% 0.62/0.46 thf(f1302,plain,(
% 0.62/0.46 ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | ($true != $true) | (zero_zero @ real != ((sK15 @ p))) | (~spl19_1 | ~spl19_5)),
% 0.62/0.46 inference(superposition,[],[f1266,f1200])).
% 0.62/0.46 thf(f1306,plain,(
% 0.62/0.46 (zero_zero @ real != ((sK15 @ p))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | ($true != $true) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (~spl19_1 | ~spl19_5)),
% 0.62/0.46 inference(duplicate_literal_removal,[],[f1302])).
% 0.62/0.46 thf(f1307,plain,(
% 0.62/0.46 ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (zero_zero @ real != ((sK15 @ p))) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | (~spl19_1 | ~spl19_5)),
% 0.62/0.46 inference(trivial_inequality_removal,[],[f1306])).
% 0.62/0.46 thf(f1309,plain,(
% 0.62/0.46 (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | (zero_zero @ real != ((sK15 @ p))) | ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (~spl19_1 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1307,f1155])).
% 0.62/0.46 thf(f1310,plain,(
% 0.62/0.46 (zero_zero @ real != ((sK15 @ p))) | ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (~spl19_1 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1309,f1160])).
% 0.62/0.46 thf(f1311,plain,(
% 0.62/0.46 ($true != ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (~spl19_1 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1310,f1159])).
% 0.62/0.46 thf(f1319,plain,(
% 0.62/0.46 (((member @ a @ (sK16 @ sK14 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | ($true != $true) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | ~spl19_4),
% 0.62/0.46 inference(superposition,[],[f1157,f1281])).
% 0.62/0.46 thf(f1320,plain,(
% 0.62/0.46 ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (((member @ a @ (sK16 @ sK14 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true) | ~spl19_4),
% 0.62/0.46 inference(trivial_inequality_removal,[],[f1319])).
% 0.62/0.46 thf(f1321,plain,(
% 0.62/0.46 (((member @ a @ (sK16 @ sK14 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true) | (((ord_less @ real @ zero_zero @ real @ sK14)) != $true) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1320,f1266])).
% 0.62/0.46 thf(f1322,plain,(
% 0.62/0.46 ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (((member @ a @ (sK16 @ sK14 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true) | (~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1321,f1160])).
% 0.62/0.46 thf(f1323,plain,(
% 0.62/0.46 (((member @ a @ (sK16 @ sK14 @ sK15) @ (elemen1815086676c_ball @ a @ p @ sK14))) != $true) | (~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1322,f1155])).
% 0.62/0.46 thf(f1357,plain,(
% 0.62/0.46 ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | (zero_zero @ real != ((sK15 @ p))) | ($true != $true) | (~spl19_3 | ~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(superposition,[],[f1323,f1251])).
% 0.62/0.46 thf(f1360,plain,(
% 0.62/0.46 ($true = ((ord_less @ real @ (abs_abs @ real @ (sK15 @ (sK17 @ sK14 @ sK15))) @ one_one @ real))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (zero_zero @ real != ((sK15 @ p))) | (~spl19_3 | ~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(trivial_inequality_removal,[],[f1357])).
% 0.62/0.46 thf(f1363,plain,(
% 0.62/0.46 (zero_zero @ real != ((sK15 @ p))) | ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (~spl19_1 | ~spl19_3 | ~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1360,f1311])).
% 0.62/0.46 thf(f1364,plain,(
% 0.62/0.46 ($true != ((topolo2071040574ous_on @ a @ real @ (elemen1815086676c_ball @ a @ p @ sK14) @ sK15))) | (~spl19_1 | ~spl19_3 | ~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1363,f1159])).
% 0.62/0.46 thf(f1365,plain,(
% 0.62/0.46 $false | (~spl19_1 | ~spl19_3 | ~spl19_4 | ~spl19_5)),
% 0.62/0.46 inference(forward_subsumption_resolution,[],[f1364,f1158])).
% 0.62/0.46 thf(f1366,plain,(
% 0.62/0.46 ~spl19_1 | ~spl19_3 | ~spl19_4 | ~spl19_5),
% 0.62/0.46 inference(avatar_contradiction_clause,[],[f1365])).
% 0.62/0.46 cnf(s1, plain, spl19_1 | spl19_2, inference(sat_conversion,[],[f1205])).
% 0.62/0.46 cnf(s2, plain, spl19_2 | spl19_3, inference(sat_conversion,[],[f1209])).
% 0.62/0.46 cnf(s3, plain, ~spl19_2, inference(sat_conversion,[],[f1210])).
% 0.62/0.46 cnf(s4, plain, spl19_2 | spl19_4, inference(sat_conversion,[],[f1214])).
% 0.62/0.46 cnf(s5, plain, spl19_2 | spl19_5, inference(sat_conversion,[],[f1218])).
% 0.62/0.46 cnf(s9, plain, ~spl19_1 | ~spl19_3 | ~spl19_4 | ~spl19_5, inference(sat_conversion,[],[f1366])).
% 0.62/0.46 cnf(s10, plain, spl19_5, inference(rat,[],[s5,s3])).
% 0.62/0.46 cnf(s11, plain, spl19_4, inference(rat,[],[s4,s3])).
% 0.62/0.46 cnf(s12, plain, spl19_3, inference(rat,[],[s2,s3])).
% 0.62/0.46 cnf(s13, plain, ~spl19_1, inference(rat,[],[s9,s10,s11,s12])).
% 0.62/0.46 cnf(s14, plain, $false, inference(rat,[],[s1,s3,s13])).
% 0.62/0.46 thf(f1367,plain,(
% 0.62/0.46 $false),
% 0.62/0.46 inference(avatar_sat_refutation,[],[s14])).
% 0.62/0.46 % SZS output end Proof for theBenchmark
% 0.62/0.46 % (2588692)------------------------------
% 0.62/0.46 % (2588692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.46 % (2588692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.46 % (2588692)CaDiCaL version: 2.1.3
% 0.62/0.46 % (2588692)Termination reason: Refutation
% 0.62/0.46 % (2588692)Time elapsed: 0.055 s
% 0.62/0.46 % (2588692)Peak memory usage: 14 MB
% 0.62/0.46 % (2588692)Instructions burned: 110 (million)
% 0.62/0.46 % (2588656)Success in time 0.193 s
% 0.62/0.46 % Vampire exiting
%------------------------------------------------------------------------------