%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP112^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:08:24 AM UTC 2026
% Result : Theorem 0.53s 0.47s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP112^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:55:15 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.44 % (3130515)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.44 % (3130524)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4074665244:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.44 % (3130526)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.44 % (3130526)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
% 0.53/0.44 % (3130524)Instruction limit reached!
% 0.53/0.44 % (3130524)------------------------------
% 0.53/0.44 % (3130524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3130522)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1067007620:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.44 % (3130524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3130524)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3130524)Termination reason: Instruction limit
% 0.53/0.44 % (3130524)Termination phase: Property scanning
% 0.53/0.44 % (3130524)Time elapsed: 0.007 s
% 0.53/0.44 % (3130524)Peak memory usage: 11 MB
% 0.53/0.44 % (3130524)Instructions burned: 24 (million)
% 0.53/0.44 % (3130521)lrs+10_16_si=on:nwc=1.5:random_seed=2890038512:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.44 % (3130523)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=1218566203: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)
% 0.53/0.44 % (3130526)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=3977040937:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.44 % (3130525)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3729028758:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.44 % (3130522)Instruction limit reached!
% 0.53/0.44 % (3130522)------------------------------
% 0.53/0.44 % (3130522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3130522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3130522)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3130522)Termination reason: Instruction limit
% 0.53/0.44 % (3130522)Termination phase: shuffling
% 0.53/0.44 % (3130522)Time elapsed: 0.003 s
% 0.53/0.44 % (3130522)Peak memory usage: 10 MB
% 0.53/0.44 % (3130522)Instructions burned: 4 (million)
% 0.53/0.44 % (3130520)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3859646807:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.44 % (3130521)Instruction limit reached!
% 0.53/0.44 % (3130521)------------------------------
% 0.53/0.44 % (3130521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3130521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3130521)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3130521)Termination reason: Instruction limit
% 0.53/0.44 % (3130521)Termination phase: shuffling
% 0.53/0.44 % (3130521)Time elapsed: 0.009 s
% 0.53/0.44 % (3130521)Peak memory usage: 10 MB
% 0.53/0.44 % (3130521)Instructions burned: 18 (million)
% 0.53/0.44 % (3130531)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=15992517:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.44 % (3130531)Instruction limit reached!
% 0.53/0.44 % (3130531)------------------------------
% 0.53/0.44 % (3130531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3130531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3130531)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3130531)Termination reason: Instruction limit
% 0.53/0.44 % (3130531)Termination phase: shuffling
% 0.53/0.44 % (3130531)Time elapsed: 0.004 s
% 0.53/0.44 % (3130531)Peak memory usage: 10 MB
% 0.53/0.44 % (3130531)Instructions burned: 3 (million)
% 0.53/0.44 % (3130534)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1163613587:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.47 % (3130534)Instruction limit reached!
% 0.53/0.47 % (3130534)------------------------------
% 0.53/0.47 % (3130534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130534)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130534)Termination reason: Instruction limit
% 0.53/0.47 % (3130534)Termination phase: shuffling
% 0.53/0.47 % (3130534)Time elapsed: 0.003 s
% 0.53/0.47 % (3130534)Peak memory usage: 10 MB
% 0.53/0.47 % (3130534)Instructions burned: 11 (million)
% 0.53/0.47 % (3130536)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.47 % (3130536)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3814232932:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.47 % (3130540)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
% 0.53/0.47 % (3130540)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.47 % (3130536)Instruction limit reached!
% 0.53/0.47 % (3130536)------------------------------
% 0.53/0.47 % (3130536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130536)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130536)Termination reason: Instruction limit
% 0.53/0.47 % (3130536)Termination phase: shuffling
% 0.53/0.47 % (3130536)Time elapsed: 0.004 s
% 0.53/0.47 % (3130536)Peak memory usage: 10 MB
% 0.53/0.47 % (3130536)Instructions burned: 9 (million)
% 0.53/0.47 % (3130540)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3504905168:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.47 % (3130525)Instruction limit reached!
% 0.53/0.47 % (3130525)------------------------------
% 0.53/0.47 % (3130525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130525)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130525)Termination reason: Instruction limit
% 0.53/0.47 % (3130525)Termination phase: Property scanning
% 0.53/0.47 % (3130525)Time elapsed: 0.038 s
% 0.53/0.47 % (3130525)Peak memory usage: 12 MB
% 0.53/0.47 % (3130525)Instructions burned: 75 (million)
% 0.53/0.47 % (3130540)Instruction limit reached!
% 0.53/0.47 % (3130540)------------------------------
% 0.53/0.47 % (3130540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130540)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130540)Termination reason: Instruction limit
% 0.53/0.47 % (3130540)Termination phase: shuffling
% 0.53/0.47 % (3130540)Time elapsed: 0.007 s
% 0.53/0.47 % (3130540)Peak memory usage: 11 MB
% 0.53/0.47 % (3130540)Instructions burned: 28 (million)
% 0.53/0.47 % (3130539)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2996779245:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.47 % (3130545)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.47 % (3130520)Instruction limit reached!
% 0.53/0.47 % (3130520)------------------------------
% 0.53/0.47 % (3130520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130520)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130520)Termination reason: Instruction limit
% 0.53/0.47 % (3130520)Termination phase: Function definition elimination
% 0.53/0.47 % (3130520)Time elapsed: 0.043 s
% 0.53/0.47 % (3130520)Peak memory usage: 12 MB
% 0.53/0.47 % (3130520)Instructions burned: 88 (million)
% 0.53/0.47 % (3130539)Instruction limit reached!
% 0.53/0.47 % (3130539)------------------------------
% 0.53/0.47 % (3130539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130539)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130539)Termination reason: Instruction limit
% 0.53/0.47 % (3130539)Termination phase: shuffling
% 0.53/0.47 % (3130539)Time elapsed: 0.007 s
% 0.53/0.47 % (3130539)Peak memory usage: 10 MB
% 0.53/0.47 % (3130539)Instructions burned: 14 (million)
% 0.53/0.47 % (3130545)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=2768698242:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.47 % (3130542)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=655506991:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.53/0.47 % (3130545)Instruction limit reached!
% 0.53/0.47 % (3130545)------------------------------
% 0.53/0.47 % (3130545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130545)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130545)Termination reason: Instruction limit
% 0.53/0.47 % (3130545)Termination phase: shuffling
% 0.53/0.47 % (3130545)Time elapsed: 0.001 s
% 0.53/0.47 % (3130545)Peak memory usage: 10 MB
% 0.53/0.47 % (3130545)Instructions burned: 2 (million)
% 0.53/0.47 % (3130544)lrs+10_1_si=on:cs=on:random_seed=4145030890:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.53/0.47 % (3130544)Instruction limit reached!
% 0.53/0.47 % (3130544)------------------------------
% 0.53/0.47 % (3130544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130544)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130544)Termination reason: Instruction limit
% 0.53/0.47 % (3130544)Termination phase: shuffling
% 0.53/0.47 % (3130544)Time elapsed: 0.005 s
% 0.53/0.47 % (3130544)Peak memory usage: 10 MB
% 0.53/0.47 % (3130544)Instructions burned: 10 (million)
% 0.53/0.47 % (3130551)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4058392803:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.53/0.47 % (3130547)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=937749555:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.53/0.47 % (3130548)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=962480587:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.53/0.47 % (3130551)Instruction limit reached!
% 0.53/0.47 % (3130551)------------------------------
% 0.53/0.47 % (3130551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130551)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130551)Termination reason: Instruction limit
% 0.53/0.47 % (3130551)Termination phase: Property scanning
% 0.53/0.47 % (3130551)Time elapsed: 0.007 s
% 0.53/0.47 % (3130551)Peak memory usage: 11 MB
% 0.53/0.47 % (3130551)Instructions burned: 27 (million)
% 0.53/0.47 % (3130526)Instruction limit reached!
% 0.53/0.47 % (3130526)------------------------------
% 0.53/0.47 % (3130526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130526)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130526)Termination reason: Instruction limit
% 0.53/0.47 % (3130526)Termination phase: Saturation
% 0.53/0.47 % (3130526)Time elapsed: 0.081 s
% 0.53/0.47 % (3130526)Peak memory usage: 14 MB
% 0.53/0.47 % (3130526)Instructions burned: 157 (million)
% 0.53/0.47 % (3130553)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=595314239:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.47 % (3130557)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3852929835:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.53/0.47 % (3130553)Instruction limit reached!
% 0.53/0.47 % (3130553)------------------------------
% 0.53/0.47 % (3130553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130553)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130553)Termination reason: Instruction limit
% 0.53/0.47 % (3130553)Termination phase: shuffling
% 0.53/0.47 % (3130553)Time elapsed: 0.008 s
% 0.53/0.47 % (3130553)Peak memory usage: 10 MB
% 0.53/0.47 % (3130553)Instructions burned: 16 (million)
% 0.53/0.47 % (3130547)Instruction limit reached!
% 0.53/0.47 % (3130547)------------------------------
% 0.53/0.47 % (3130547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130547)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130547)Termination reason: Instruction limit
% 0.53/0.47 % (3130547)Termination phase: SInE selection
% 0.53/0.47 % (3130547)Time elapsed: 0.019 s
% 0.53/0.47 % (3130547)Peak memory usage: 11 MB
% 0.53/0.47 % (3130547)Instructions burned: 39 (million)
% 0.53/0.47 % (3130542)Instruction limit reached!
% 0.53/0.47 % (3130542)------------------------------
% 0.53/0.47 % (3130542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130542)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130542)Termination reason: Instruction limit
% 0.53/0.47 % (3130542)Termination phase: Preprocessing 3
% 0.53/0.47 % (3130542)Time elapsed: 0.038 s
% 0.53/0.47 % (3130542)Peak memory usage: 11 MB
% 0.53/0.47 % (3130542)Instructions burned: 87 (million)
% 0.53/0.47 % (3130559)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1099880733:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.47 % (3130561)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1052122702: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)
% 0.53/0.47 % (3130559)Instruction limit reached!
% 0.53/0.47 % (3130559)------------------------------
% 0.53/0.47 % (3130559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130559)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130559)Termination reason: Instruction limit
% 0.53/0.47 % (3130559)Termination phase: shuffling
% 0.53/0.47 % (3130559)Time elapsed: 0.008 s
% 0.53/0.47 % (3130559)Peak memory usage: 10 MB
% 0.53/0.47 % (3130559)Instructions burned: 15 (million)
% 0.53/0.47 % (3130562)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2425902716:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.53/0.47 % (3130561)Instruction limit reached!
% 0.53/0.47 % (3130561)------------------------------
% 0.53/0.47 % (3130561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130561)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130561)Termination reason: Instruction limit
% 0.53/0.47 % (3130561)Termination phase: shuffling
% 0.53/0.47 % (3130561)Time elapsed: 0.002 s
% 0.53/0.47 % (3130561)Peak memory usage: 10 MB
% 0.53/0.47 % (3130561)Instructions burned: 4 (million)
% 0.53/0.47 % (3130563)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=484666597:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.53/0.47 % (3130557) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3130515-3130557"...
% 0.53/0.47 % (3130557)...printing done.
% 0.53/0.47 % (3130557)Refutation found. Thanks to Tanya!
% 0.53/0.47 % SZS status Theorem for theBenchmark
% 0.53/0.47 % SZS output start Proof for theBenchmark
% 0.53/0.47 thf(type_def_5, type, extended_ereal: $tType).
% 0.53/0.47 thf(type_def_6, type, filter: $tType > $tType).
% 0.53/0.47 thf(type_def_7, type, real: $tType).
% 0.53/0.47 thf(type_def_8, type, set: $tType > $tType).
% 0.53/0.47 thf(type_def_9, type, nat: $tType).
% 0.53/0.47 thf(type_def_10, type, int: $tType).
% 0.53/0.47 thf(type_def_11, type, a: $tType).
% 0.53/0.47 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.53/0.47 thf(func_def_0, type, finite_finite: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_2, type, countable: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_3, type, uminus: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_6, type, group_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_9, type, ab_group_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_11, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_12, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_13, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_14, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_15, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_16, type, topological_t2_space: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_17, type, topolo799126099up_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_18, type, topolo1314133330id_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_19, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_20, type, real_V2090557954_space: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_21, type, topolo47006728_space: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_22, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_23, type, topolo259154727pology: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_24, type, comple187826305attice: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_25, type, comple1035589618norder: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_26, type, topolo2117631714pology: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_27, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_28, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_29, type, real_V55928688vector: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_30, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_31, type, topolo2135403230pology: !>[X0: $tType]:($o)).
% 0.53/0.47 thf(func_def_32, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 0.53/0.47 thf(func_def_33, type, extended_case_ereal: !>[X0: $tType]:(((real > X0) > X0 > X0 > extended_ereal > X0))).
% 0.53/0.47 thf(func_def_34, type, extended_ereal2: (real > extended_ereal)).
% 0.53/0.47 thf(func_def_35, type, at_bot: !>[X0: $tType]:(filter @ X0)).
% 0.53/0.47 thf(func_def_36, type, at_top: !>[X0: $tType]:(filter @ X0)).
% 0.53/0.47 thf(func_def_37, type, filterlim: !>[X0: $tType, X1: $tType]:(((X0 > X1) > filter @ X1 > filter @ X0 > $o))).
% 0.53/0.47 thf(func_def_38, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.53/0.47 thf(func_def_39, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.53/0.47 thf(func_def_40, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.53/0.47 thf(func_def_41, type, ex1: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.53/0.47 thf(func_def_42, type, uniq: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.53/0.47 thf(func_def_43, type, liminf_Liminf: !>[X0: $tType, X1: $tType]:((filter @ X0 > (X0 > X1) > X1))).
% 0.53/0.47 thf(func_def_44, type, lower_582600101lsc_at: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > $o))).
% 0.53/0.47 thf(func_def_45, type, lower_708585518usc_at: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > $o))).
% 0.53/0.47 thf(func_def_46, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.53/0.47 thf(func_def_47, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.53/0.47 thf(func_def_48, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.53/0.47 thf(func_def_49, type, topological_monoseq: !>[X0: $tType]:(((nat > X0) > $o))).
% 0.53/0.47 thf(func_def_50, type, topolo1920029354e_nhds: !>[X0: $tType]:((X0 > filter @ X0))).
% 0.53/0.47 thf(func_def_51, type, topolo1334162427filter: !>[X0: $tType]:((filter @ X0 > $o))).
% 0.53/0.47 thf(func_def_52, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.53/0.47 thf(func_def_53, type, a2: extended_ereal).
% 0.53/0.47 thf(func_def_54, type, f: (a > extended_ereal)).
% 0.53/0.47 thf(func_def_55, type, x0: a).
% 0.53/0.47 thf(func_def_56, type, x: (nat > a)).
% 0.53/0.47 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 0.53/0.47 thf(func_def_61, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.53/0.47 thf(func_def_62, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.53/0.47 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 0.53/0.47 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 0.53/0.47 thf(func_def_65, type, db2: !>[X0: $tType]:(X0)).
% 0.53/0.47 thf(func_def_66, type, db1: !>[X0: $tType]:(X0)).
% 0.53/0.47 thf(func_def_67, type, db3: !>[X0: $tType]:(X0)).
% 0.53/0.47 thf(func_def_68, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.53/0.47 thf(func_def_69, type, vOR: ($o > $o > $o)).
% 0.53/0.47 thf(func_def_70, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.53/0.47 thf(func_def_71, type, vNOT: ($o > $o)).
% 0.53/0.47 thf(func_def_72, type, db4: !>[X0: $tType]:(X0)).
% 0.53/0.47 thf(func_def_73, type, sP0: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_74, type, sP1: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_75, type, sP2: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_76, type, sP3: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_77, type, sP4: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_78, type, sP5: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_79, type, sP6: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_80, type, sP7: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_81, type, sP8: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_82, type, sP9: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_83, type, sP10: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_84, type, sP11: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_85, type, sP12: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_86, type, sP13: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_87, type, sP14: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_88, type, sP15: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_89, type, sP16: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_90, type, sP17: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_91, type, sP18: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_92, type, sP19: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_93, type, sP20: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_94, type, sP21: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_95, type, sP22: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_96, type, sP23: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_97, type, sP24: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_98, type, sP25: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_99, type, sP26: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_100, type, sP27: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_101, type, sP28: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_102, type, sP29: (extended_ereal > extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_103, type, sP30: (extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_104, type, sP31: (extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_105, type, sP32: (extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_106, type, sP33: (extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_107, type, sP34: (extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_108, type, sP35: (extended_ereal > extended_ereal > $o)).
% 0.53/0.47 thf(func_def_109, type, sK36: ((extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_110, type, sK37: ((extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_111, type, sK38: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.53/0.47 thf(func_def_112, type, sK39: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.53/0.47 thf(func_def_113, type, sK40: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_114, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_115, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_116, type, sK43: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.53/0.47 thf(func_def_117, type, sK44: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.53/0.47 thf(func_def_118, type, sK45: (nat > nat > nat)).
% 0.53/0.47 thf(func_def_119, type, sK46: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_120, type, sK47: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.53/0.47 thf(func_def_121, type, sK48: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_122, type, sK49: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_123, type, sK50: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.53/0.47 thf(func_def_124, type, sK51: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_125, type, sK52: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_126, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_127, type, sK54: ((nat > extended_ereal) > real > nat)).
% 0.53/0.47 thf(func_def_128, type, sK55: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.53/0.47 thf(func_def_129, type, sK56: !>[X0: $tType]:(((nat > X0) > nat))).
% 0.53/0.47 thf(func_def_130, type, sK57: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_131, type, sK58: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_132, type, sK59: (extended_ereal > extended_ereal > extended_ereal > real)).
% 0.53/0.47 thf(func_def_133, type, sK60: (extended_ereal > extended_ereal > extended_ereal > real)).
% 0.53/0.47 thf(func_def_134, type, sK61: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_135, type, sK62: ((nat > extended_ereal) > real > nat)).
% 0.53/0.47 thf(func_def_136, type, sK63: !>[X0: $tType]:(((X0 > extended_ereal) > (nat > extended_ereal) > (nat > X0) > nat))).
% 0.53/0.47 thf(func_def_137, type, sK64: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.53/0.47 thf(func_def_138, type, sK65: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.53/0.47 thf(func_def_139, type, sK66: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.53/0.47 thf(func_def_140, type, sK67: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_141, type, sK68: ((extended_ereal > extended_ereal > $o) > extended_ereal)).
% 0.53/0.47 thf(func_def_142, type, sK69: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_143, type, sK70: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_144, type, sK71: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_145, type, sK72: ((nat > $o) > nat > nat)).
% 0.53/0.47 thf(func_def_146, type, sK73: ((nat > $o) > nat)).
% 0.53/0.47 thf(func_def_147, type, sK74: !>[X0: $tType]:(((real > X0) > X0 > nat > real))).
% 0.53/0.47 thf(func_def_148, type, sK75: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_149, type, sK76: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_150, type, sK77: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_151, type, sK78: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_152, type, sK79: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_153, type, sK80: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_154, type, sK81: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_155, type, sK82: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_156, type, sK83: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_157, type, sK84: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_158, type, sK85: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_159, type, sK86: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_160, type, sK87: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_161, type, sK88: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_162, type, sK89: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_163, type, sK90: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_164, type, sK91: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_165, type, sK92: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_166, type, sK93: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_167, type, sK94: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_168, type, sK95: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_169, type, sK96: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_170, type, sK97: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_171, type, sK98: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_172, type, sK99: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_173, type, sK100: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_174, type, sK101: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_175, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_176, type, sK103: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_177, type, sK104: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_178, type, sK105: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_179, type, sK106: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_180, type, sK107: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_181, type, sK108: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_182, type, sK109: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_183, type, sK110: (real > (nat > extended_ereal) > nat > nat)).
% 0.53/0.47 thf(func_def_184, type, sK111: (extended_ereal > real)).
% 0.53/0.47 thf(func_def_185, type, sK112: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.53/0.47 thf(func_def_186, type, sK113: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.53/0.47 thf(func_def_187, type, sK114: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_188, type, sK115: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_189, type, sK116: !>[X0: $tType]:(((real > X0) > X0 > nat > real))).
% 0.53/0.47 thf(func_def_190, type, sK117: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_191, type, sK118: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_192, type, sK119: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_193, type, sK120: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_194, type, sK121: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_195, type, sK122: ((extended_ereal > extended_ereal > $o) > real)).
% 0.53/0.47 thf(func_def_196, type, sK123: (extended_ereal > extended_ereal > real)).
% 0.53/0.47 thf(func_def_197, type, sK124: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_198, type, sK125: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.53/0.47 thf(func_def_199, type, sK126: (real > (nat > extended_ereal) > nat)).
% 0.53/0.47 thf(func_def_200, type, sK127: ((nat > extended_ereal) > real)).
% 0.53/0.47 thf(func_def_201, type, sK128: (nat > (nat > extended_ereal) > nat)).
% 0.53/0.47 thf(func_def_202, type, sK129: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.53/0.47 thf(func_def_203, type, sK130: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.53/0.47 thf(func_def_204, type, sK131: (real > (nat > extended_ereal) > nat)).
% 0.53/0.47 thf(func_def_205, type, sK132: ((nat > extended_ereal) > real)).
% 0.53/0.47 thf(func_def_206, type, sK133: (nat > (nat > extended_ereal) > nat)).
% 0.53/0.47 thf(f2,axiom,(
% 0.53/0.47 (filterlim @ nat @ extended_ereal @ (comp @ a @ extended_ereal @ nat @ f @ x) @ (topolo1920029354e_nhds @ extended_ereal @ a2) @ at_top @ nat)),
% 0.53/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_x__def_I2_J)).
% 0.53/0.47 thf(f5,axiom,(
% 0.53/0.47 ! [X0 : $tType,X2 : extended_ereal,X1 : (X0 > extended_ereal),X3 : filter @ X0] : ((filterlim @ X0 @ extended_ereal @ X1 @ (topolo1920029354e_nhds @ extended_ereal @ X2) @ X3) => (filterlim @ X0 @ extended_ereal @ (^[X4 : X0] : ((uminus_uminus @ extended_ereal @ (X1 @ X4)))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ X2)) @ X3))),
% 0.53/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_tendsto__uminus__ereal)).
% 0.53/0.47 thf(f21,axiom,(
% 0.53/0.47 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (comp @ X2 @ X1 @ X0 = (^[X3 : (X2 > X1), X4 : (X0 > X2), X5 : X0] : ((X3 @ (X4 @ X5)))))),
% 0.53/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_comp__apply)).
% 0.53/0.47 thf(f382,conjecture,(
% 0.53/0.47 (filterlim @ nat @ extended_ereal @ (^[X0 : nat] : ((uminus_uminus @ extended_ereal @ (f @ (x @ X0))))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)),
% 0.53/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.53/0.47 thf(f383,negated_conjecture,(
% 0.53/0.47 ~(filterlim @ nat @ extended_ereal @ (^[X0 : nat] : ((uminus_uminus @ extended_ereal @ (f @ (x @ X0))))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)),
% 0.53/0.47 inference(negated_conjecture,[status(cth)],[f382])).
% 0.53/0.47 thf(f504,plain,(
% 0.53/0.47 ~(filterlim @ nat @ extended_ereal @ (^[X0 : nat] : ((uminus_uminus @ extended_ereal @ (f @ (x @ X0))))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)),
% 0.53/0.47 inference(rectify,[],[f383])).
% 0.53/0.47 thf(f505,plain,(
% 0.53/0.47 ~ ($true = ((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (uminus_uminus @ extended_ereal @ (f @ (x @ Y0)))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)))),
% 0.53/0.47 inference(fool_elimination,[],[f504])).
% 0.53/0.47 thf(f644,plain,(
% 0.53/0.47 ! [X0 : $tType,X1 : extended_ereal,X2 : (X0 > extended_ereal),X3 : filter @ X0] : ((filterlim @ X0 @ extended_ereal @ X2 @ (topolo1920029354e_nhds @ extended_ereal @ X1) @ X3) => (filterlim @ X0 @ extended_ereal @ (^[X4 : X0] : ((uminus_uminus @ extended_ereal @ (X2 @ X4)))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ X1)) @ X3))),
% 0.53/0.47 inference(rectify,[],[f5])).
% 0.53/0.47 thf(f645,plain,(
% 0.53/0.47 ! [X0 : $tType,X1 : extended_ereal,X2 : (X0 > extended_ereal),X3 : filter @ X0] : (($true = ((filterlim @ X0 @ extended_ereal @ X2 @ (topolo1920029354e_nhds @ extended_ereal @ X1) @ X3))) => (((filterlim @ X0 @ extended_ereal @ (^[Y0 : X0]: (uminus_uminus @ extended_ereal @ (X2 @ Y0))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ X1)) @ X3)) = $true))),
% 0.53/0.47 inference(fool_elimination,[],[f644])).
% 0.53/0.47 thf(f838,plain,(
% 0.53/0.47 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (comp @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > X2]: ((^[Y2 : X0]: (Y0 @ (Y1 @ Y2))))))))),
% 0.53/0.47 inference(fool_elimination,[],[f21])).
% 0.53/0.47 thf(f1059,plain,(
% 0.53/0.47 (filterlim @ nat @ extended_ereal @ (comp @ a @ extended_ereal @ nat @ f @ x) @ (topolo1920029354e_nhds @ extended_ereal @ a2) @ at_top @ nat)),
% 0.53/0.47 inference(rectify,[],[f2])).
% 0.53/0.47 thf(f1060,plain,(
% 0.53/0.47 (((filterlim @ nat @ extended_ereal @ (comp @ a @ extended_ereal @ nat @ f @ x) @ (topolo1920029354e_nhds @ extended_ereal @ a2) @ at_top @ nat)) = $true)),
% 0.53/0.47 inference(fool_elimination,[],[f1059])).
% 0.53/0.47 thf(f1061,plain,(
% 0.53/0.47 ($true != ((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (uminus_uminus @ extended_ereal @ (f @ (x @ Y0)))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)))),
% 0.53/0.47 inference(flattening,[],[f505])).
% 0.53/0.47 thf(f1102,plain,(
% 0.53/0.47 ! [X0 : $tType,X1 : extended_ereal,X2 : (X0 > extended_ereal),X3 : filter @ X0] : ((((filterlim @ X0 @ extended_ereal @ (^[Y0 : X0]: (uminus_uminus @ extended_ereal @ (X2 @ Y0))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ X1)) @ X3)) = $true) | ($true != ((filterlim @ X0 @ extended_ereal @ X2 @ (topolo1920029354e_nhds @ extended_ereal @ X1) @ X3))))),
% 0.53/0.47 inference(ennf_transformation,[],[f645])).
% 0.53/0.47 thf(f1602,plain,(
% 0.53/0.47 (((filterlim @ nat @ extended_ereal @ (comp @ a @ extended_ereal @ nat @ f @ x) @ (topolo1920029354e_nhds @ extended_ereal @ a2) @ at_top @ nat)) = $true)),
% 0.53/0.47 inference(cnf_transformation,[],[f1060])).
% 0.53/0.47 thf(f1675,plain,(
% 0.53/0.47 ( ! [X0 : $tType,X2 : (X0 > extended_ereal),X3 : filter @ X0,X1 : extended_ereal] : (($true != ((filterlim @ X0 @ extended_ereal @ X2 @ (topolo1920029354e_nhds @ extended_ereal @ X1) @ X3))) | (((filterlim @ X0 @ extended_ereal @ (^[Y0 : X0]: (uminus_uminus @ extended_ereal @ (X2 @ Y0))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ X1)) @ X3)) = $true)) )),
% 0.53/0.47 inference(cnf_transformation,[],[f1102])).
% 0.53/0.47 thf(f1870,plain,(
% 0.53/0.47 ($true != ((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (uminus_uminus @ extended_ereal @ (f @ (x @ Y0)))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)))),
% 0.53/0.47 inference(cnf_transformation,[],[f1061])).
% 0.53/0.47 thf(f1875,plain,(
% 0.53/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((comp @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > X2]: ((^[Y2 : X0]: (Y0 @ (Y1 @ Y2))))))))) )),
% 0.53/0.47 inference(cnf_transformation,[],[f838])).
% 0.53/0.47 thf(f1923,plain,(
% 0.53/0.47 ($true = ((filterlim @ nat @ extended_ereal @ ((^[Y0 : a > extended_ereal]: ((^[Y1 : nat > a]: ((^[Y2 : nat]: (Y0 @ (Y1 @ Y2))))))) @ f @ x) @ (topolo1920029354e_nhds @ extended_ereal @ a2) @ at_top @ nat)))),
% 0.53/0.47 inference(definition_unfolding,[],[f1602,f1875])).
% 0.53/0.47 thf(f2324,plain,(
% 0.53/0.47 (((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (f @ (x @ Y0))) @ (topolo1920029354e_nhds @ extended_ereal @ a2) @ at_top @ nat)) = $true)),
% 0.53/0.47 inference(beta-eta_normalization,[],[f1923])).
% 0.53/0.47 thf(f2397,plain,(
% 0.53/0.47 (((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (uminus_uminus @ extended_ereal @ ((^[Y1 : nat]: (f @ (x @ Y1))) @ Y0))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)) = $true) | ($true != $true)),
% 0.53/0.47 inference(superposition,[],[f1675,f2324])).
% 0.53/0.47 thf(f2400,plain,(
% 0.53/0.47 (((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (uminus_uminus @ extended_ereal @ ((^[Y1 : nat]: (f @ (x @ Y1))) @ Y0))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)) = $true)),
% 0.53/0.47 inference(trivial_inequality_removal,[],[f2397])).
% 0.53/0.47 thf(f2401,plain,(
% 0.53/0.47 ($true = ((filterlim @ nat @ extended_ereal @ (^[Y0 : nat]: (uminus_uminus @ extended_ereal @ (f @ (x @ Y0)))) @ (topolo1920029354e_nhds @ extended_ereal @ (uminus_uminus @ extended_ereal @ a2)) @ at_top @ nat)))),
% 0.53/0.47 inference(beta-eta_normalization,[],[f2400])).
% 0.53/0.47 thf(f2402,plain,(
% 0.53/0.47 $false),
% 0.53/0.47 inference(forward_subsumption_resolution,[],[f2401,f1870])).
% 0.53/0.47 % SZS output end Proof for theBenchmark
% 0.53/0.47 % (3130557)------------------------------
% 0.53/0.47 % (3130557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.47 % (3130557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.47 % (3130557)CaDiCaL version: 2.1.3
% 0.53/0.47 % (3130557)Termination reason: Refutation
% 0.53/0.47 % (3130557)Time elapsed: 0.036 s
% 0.53/0.47 % (3130557)Peak memory usage: 14 MB
% 0.53/0.47 % (3130557)Instructions burned: 136 (million)
% 0.53/0.47 % (3130515)Success in time 0.173 s
% 0.53/0.47 % Vampire exiting
%------------------------------------------------------------------------------