%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP186^2 : 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 : n012.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 08:08:43 AM UTC 2026
% Result : Theorem 0.34s 0.28s
% Output : Refutation 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP186^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.12 % Computer : n012.cluster.edu
% 0.07/0.12 % Model : x86_64 x86_64
% 0.07/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.12 % Memory : 8046.5625MB
% 0.07/0.12 % OS : Linux 6.8.0-71-generic
% 0.07/0.12 % CPULimit : 300
% 0.07/0.12 % WCLimit : 300
% 0.07/0.12 % DateTime : Tue Sep 29 20:08:18 UTC 2026
% 0.07/0.12 % CPUTime :
% 0.07/0.12 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.14 Running higher-order theorem proving
% 0.07/0.16 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
% 0.34/0.26 % (621377)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.34/0.26 % (621388)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.34/0.26 % (621388)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
% 0.34/0.26 % (621384)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2456912833:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.34/0.26 % (621387)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3474321170:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.34/0.26 % (621386)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2342697092:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.34/0.26 % (621383)lrs+10_16_si=on:nwc=1.5:random_seed=954116196:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.34/0.26 % (621385)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=3778096696: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)
% 0.34/0.26 % (621382)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1479994094:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.34/0.26 % (621388)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=3485770074:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.34/0.26 % (621384)Instruction limit reached!
% 0.34/0.26 % (621384)------------------------------
% 0.34/0.26 % (621384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.26 % (621384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.26 % (621384)CaDiCaL version: 2.1.3
% 0.34/0.26 % (621384)Termination reason: Instruction limit
% 0.34/0.26 % (621384)Termination phase: shuffling
% 0.34/0.26 % (621384)Time elapsed: 0.002 s
% 0.34/0.26 % (621384)Peak memory usage: 10 MB
% 0.34/0.26 % (621384)Instructions burned: 7 (million)
% 0.34/0.26 % (621383)Instruction limit reached!
% 0.34/0.26 % (621383)------------------------------
% 0.34/0.26 % (621383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.26 % (621383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.26 % (621383)CaDiCaL version: 2.1.3
% 0.34/0.26 % (621383)Termination reason: Instruction limit
% 0.34/0.26 % (621383)Termination phase: shuffling
% 0.34/0.26 % (621383)Time elapsed: 0.005 s
% 0.34/0.26 % (621383)Peak memory usage: 10 MB
% 0.34/0.26 % (621383)Instructions burned: 21 (million)
% 0.34/0.26 % (621386)Instruction limit reached!
% 0.34/0.26 % (621386)------------------------------
% 0.34/0.26 % (621386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.26 % (621386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.26 % (621386)CaDiCaL version: 2.1.3
% 0.34/0.26 % (621386)Termination reason: Instruction limit
% 0.34/0.26 % (621386)Termination phase: Property scanning
% 0.34/0.26 % (621386)Time elapsed: 0.006 s
% 0.34/0.26 % (621386)Peak memory usage: 10 MB
% 0.34/0.26 % (621386)Instructions burned: 27 (million)
% 0.34/0.26 % (621396)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3818613859:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.34/0.26 % (621396)Instruction limit reached!
% 0.34/0.26 % (621396)------------------------------
% 0.34/0.26 % (621396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.26 % (621396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.26 % (621396)CaDiCaL version: 2.1.3
% 0.34/0.26 % (621396)Termination reason: Instruction limit
% 0.34/0.26 % (621396)Termination phase: shuffling
% 0.34/0.26 % (621396)Time elapsed: 0.001 s
% 0.34/0.26 % (621396)Peak memory usage: 10 MB
% 0.34/0.26 % (621396)Instructions burned: 3 (million)
% 0.34/0.26 % (621398)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.34/0.26 % (621397)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3076900103:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.34/0.28 % (621398)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1087510442:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.34/0.28 % (621387)Instruction limit reached!
% 0.34/0.28 % (621387)------------------------------
% 0.34/0.28 % (621387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621387)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621387)Termination reason: Instruction limit
% 0.34/0.28 % (621387)Termination phase: Preprocessing 3
% 0.34/0.28 % (621387)Time elapsed: 0.019 s
% 0.34/0.28 % (621387)Peak memory usage: 12 MB
% 0.34/0.28 % (621387)Instructions burned: 77 (million)
% 0.34/0.28 % (621397)Instruction limit reached!
% 0.34/0.28 % (621397)------------------------------
% 0.34/0.28 % (621397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621397)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621397)Termination reason: Instruction limit
% 0.34/0.28 % (621397)Termination phase: shuffling
% 0.34/0.28 % (621397)Time elapsed: 0.003 s
% 0.34/0.28 % (621397)Peak memory usage: 10 MB
% 0.34/0.28 % (621397)Instructions burned: 14 (million)
% 0.34/0.28 % (621398)Instruction limit reached!
% 0.34/0.28 % (621398)------------------------------
% 0.34/0.28 % (621398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621398)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621398)Termination reason: Instruction limit
% 0.34/0.28 % (621398)Termination phase: shuffling
% 0.34/0.28 % (621398)Time elapsed: 0.002 s
% 0.34/0.28 % (621398)Peak memory usage: 10 MB
% 0.34/0.28 % (621398)Instructions burned: 9 (million)
% 0.34/0.28 % (621382)Instruction limit reached!
% 0.34/0.28 % (621382)------------------------------
% 0.34/0.28 % (621382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621382)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621382)Termination reason: Instruction limit
% 0.34/0.28 % (621382)Termination phase: Property scanning
% 0.34/0.28 % (621382)Time elapsed: 0.022 s
% 0.34/0.28 % (621382)Peak memory usage: 12 MB
% 0.34/0.28 % (621382)Instructions burned: 88 (million)
% 0.34/0.28 % (621400)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2777812615:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.34/0.28 % (621400)Instruction limit reached!
% 0.34/0.28 % (621400)------------------------------
% 0.34/0.28 % (621400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621400)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621400)Termination reason: Instruction limit
% 0.34/0.28 % (621400)Termination phase: shuffling
% 0.34/0.28 % (621400)Time elapsed: 0.003 s
% 0.34/0.28 % (621400)Peak memory usage: 10 MB
% 0.34/0.28 % (621400)Instructions burned: 12 (million)
% 0.34/0.28 % (621403)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
% 0.34/0.28 % (621403)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.34/0.28 % (621406)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.34/0.28 % (621405)lrs+10_1_si=on:cs=on:random_seed=1137759078:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.34/0.28 % (621403)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2660125369:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.34/0.28 % (621404)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=2888053095:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.34/0.28 % (621406)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=2167700230:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.34/0.28 % (621406)Instruction limit reached!
% 0.34/0.28 % (621406)------------------------------
% 0.34/0.28 % (621406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621406)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621406)Termination reason: Instruction limit
% 0.34/0.28 % (621406)Termination phase: shuffling
% 0.34/0.28 % (621406)Time elapsed: 0.001 s
% 0.34/0.28 % (621406)Peak memory usage: 10 MB
% 0.34/0.28 % (621406)Instructions burned: 3 (million)
% 0.34/0.28 % (621405)Instruction limit reached!
% 0.34/0.28 % (621405)------------------------------
% 0.34/0.28 % (621405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621405)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621405)Termination reason: Instruction limit
% 0.34/0.28 % (621405)Termination phase: shuffling
% 0.34/0.28 % (621405)Time elapsed: 0.003 s
% 0.34/0.28 % (621405)Peak memory usage: 10 MB
% 0.34/0.28 % (621405)Instructions burned: 12 (million)
% 0.34/0.28 % (621388)Instruction limit reached!
% 0.34/0.28 % (621388)------------------------------
% 0.34/0.28 % (621388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621388)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621388)Termination reason: Instruction limit
% 0.34/0.28 % (621388)Termination phase: Property scanning
% 0.34/0.28 % (621388)Time elapsed: 0.038 s
% 0.34/0.28 % (621388)Peak memory usage: 13 MB
% 0.34/0.28 % (621388)Instructions burned: 161 (million)
% 0.34/0.28 % (621403)Instruction limit reached!
% 0.34/0.28 % (621403)------------------------------
% 0.34/0.28 % (621403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621403)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621403)Termination reason: Instruction limit
% 0.34/0.28 % (621403)Termination phase: shuffling
% 0.34/0.28 % (621403)Time elapsed: 0.007 s
% 0.34/0.28 % (621403)Peak memory usage: 10 MB
% 0.34/0.28 % (621403)Instructions burned: 30 (million)
% 0.34/0.28 % (621408)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4014181872:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.34/0.28 % (621413)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1129188491:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.34/0.28 % (621414)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=690840954:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.34/0.28 % (621415)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1421607152:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.34/0.28 % (621408)Instruction limit reached!
% 0.34/0.28 % (621408)------------------------------
% 0.34/0.28 % (621408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621408)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621408)Termination reason: Instruction limit
% 0.34/0.28 % (621408)Termination phase: Property scanning
% 0.34/0.28 % (621408)Time elapsed: 0.009 s
% 0.34/0.28 % (621408)Peak memory usage: 10 MB
% 0.34/0.28 % (621408)Instructions burned: 40 (million)
% 0.34/0.28 % (621416)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2937549317:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.34/0.28 % (621414)Instruction limit reached!
% 0.34/0.28 % (621414)------------------------------
% 0.34/0.28 % (621414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621414)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621414)Termination reason: Instruction limit
% 0.34/0.28 % (621414)Termination phase: shuffling
% 0.34/0.28 % (621414)Time elapsed: 0.006 s
% 0.34/0.28 % (621414)Peak memory usage: 10 MB
% 0.34/0.28 % (621414)Instructions burned: 26 (million)
% 0.34/0.28 % (621415)Instruction limit reached!
% 0.34/0.28 % (621415)------------------------------
% 0.34/0.28 % (621415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621415)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621415)Termination reason: Instruction limit
% 0.34/0.28 % (621415)Termination phase: shuffling
% 0.34/0.28 % (621415)Time elapsed: 0.004 s
% 0.34/0.28 % (621415)Peak memory usage: 10 MB
% 0.34/0.28 % (621415)Instructions burned: 16 (million)
% 0.34/0.28 % (621404)Instruction limit reached!
% 0.34/0.28 % (621404)------------------------------
% 0.34/0.28 % (621404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621404)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621404)Termination reason: Instruction limit
% 0.34/0.28 % (621404)Termination phase: Preprocessing 1
% 0.34/0.28 % (621404)Time elapsed: 0.021 s
% 0.34/0.28 % (621404)Peak memory usage: 11 MB
% 0.34/0.28 % (621404)Instructions burned: 90 (million)
% 0.34/0.28 % (621422)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4049918899:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.34/0.28 % (621423)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3590603238:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.34/0.28 % (621424)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=674240450:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.34/0.28 % (621425)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=624941981:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.34/0.28 % (621423)Instruction limit reached!
% 0.34/0.28 % (621423)------------------------------
% 0.34/0.28 % (621423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621423)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621423)Termination reason: Instruction limit
% 0.34/0.28 % (621423)Termination phase: shuffling
% 0.34/0.28 % (621423)Time elapsed: 0.001 s
% 0.34/0.28 % (621423)Peak memory usage: 10 MB
% 0.34/0.28 % (621423)Instructions burned: 3 (million)
% 0.34/0.28 % (621413) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-621377-621413"...
% 0.34/0.28 % (621422)Instruction limit reached!
% 0.34/0.28 % (621422)------------------------------
% 0.34/0.28 % (621422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621422)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621422)Termination reason: Instruction limit
% 0.34/0.28 % (621422)Termination phase: shuffling
% 0.34/0.28 % (621422)Time elapsed: 0.004 s
% 0.34/0.28 % (621422)Peak memory usage: 10 MB
% 0.34/0.28 % (621422)Instructions burned: 16 (million)
% 0.34/0.28 % (621413)...printing done.
% 0.34/0.28 % (621413)Refutation found. Thanks to Tanya!
% 0.34/0.28 % SZS status Theorem for theBenchmark
% 0.34/0.28 % SZS output start Proof for theBenchmark
% 0.34/0.28 thf(type_def_5, type, late_residual: $tType).
% 0.34/0.28 thf(type_def_6, type, late_subject: $tType).
% 0.34/0.28 thf(type_def_7, type, late_freeRes: $tType).
% 0.34/0.28 thf(type_def_8, type, noption: $tType > $tType).
% 0.34/0.28 thf(type_def_9, type, name: $tType).
% 0.34/0.28 thf(type_def_10, type, pi: $tType).
% 0.34/0.28 thf(type_def_11, type, set: $tType > $tType).
% 0.34/0.28 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.34/0.28 thf(func_def_0, type, fs_name: !>[X0: $tType]:($o)).
% 0.34/0.28 thf(func_def_1, type, pt_name: !>[X0: $tType]:($o)).
% 0.34/0.28 thf(func_def_2, type, bang: (pi > pi)).
% 0.34/0.28 thf(func_def_3, type, input: (name > name > pi > pi)).
% 0.34/0.28 thf(func_def_4, type, match: (name > name > pi > pi)).
% 0.34/0.28 thf(func_def_5, type, mismatch: (name > name > pi > pi)).
% 0.34/0.28 thf(func_def_6, type, output: (name > name > pi > pi)).
% 0.34/0.28 thf(func_def_7, type, par: (pi > pi > pi)).
% 0.34/0.28 thf(func_def_8, type, piNil: pi).
% 0.34/0.28 thf(func_def_9, type, res: (name > pi > pi)).
% 0.34/0.28 thf(func_def_10, type, sum: (pi > pi > pi)).
% 0.34/0.28 thf(func_def_11, type, tau: (pi > pi)).
% 0.34/0.28 thf(func_def_12, type, pi_rec: !>[X0: $tType]:((X0 > (name > name > pi > X0 > X0) > (pi > X0 > X0) > (name > name > pi > X0 > X0) > (name > name > pi > X0 > X0) > (name > name > pi > X0 > X0) > (pi > pi > X0 > X0 > X0) > (pi > pi > X0 > X0 > X0) > (name > pi > X0 > X0) > (pi > X0 > X0) > pi > X0))).
% 0.34/0.28 thf(func_def_13, type, pi_rec_set: !>[X0: $tType]:((X0 > (name > name > pi > X0 > X0) > (pi > X0 > X0) > (name > name > pi > X0 > X0) > (name > name > pi > X0 > X0) > (name > name > pi > X0 > X0) > (pi > pi > X0 > X0 > X0) > (pi > pi > X0 > X0 > X0) > (name > pi > X0 > X0) > (pi > X0 > X0) > pi > X0 > $o))).
% 0.34/0.28 thf(func_def_14, type, subs: (pi > name > name > pi)).
% 0.34/0.28 thf(func_def_15, type, subst_name: (name > name > name > name)).
% 0.34/0.28 thf(func_def_16, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 0.34/0.28 thf(func_def_17, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.34/0.28 thf(func_def_18, type, late_case_freeRes: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.34/0.28 thf(func_def_19, type, late_case_subject: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 0.34/0.28 thf(func_def_20, type, late_bangPred: (pi > pi > $o)).
% 0.34/0.28 thf(func_def_21, type, late_OutputR: (name > name > late_freeRes)).
% 0.34/0.28 thf(func_def_22, type, late_TauR: late_freeRes).
% 0.34/0.28 thf(func_def_23, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.34/0.28 thf(func_def_24, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 0.34/0.28 thf(func_def_25, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 0.34/0.28 thf(func_def_26, type, late_residual_rec: !>[X0: $tType]:(((late_subject > name > pi > X0) > (late_freeRes > pi > X0) > late_residual > X0))).
% 0.34/0.28 thf(func_def_27, type, late_r582136743ec_set: !>[X0: $tType]:(((late_subject > name > pi > X0) > (late_freeRes > pi > X0) > late_residual > X0 > $o))).
% 0.34/0.28 thf(func_def_28, type, late_BoundOutputS: (name > late_subject)).
% 0.34/0.28 thf(func_def_29, type, late_InputS: (name > late_subject)).
% 0.34/0.28 thf(func_def_30, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 0.34/0.28 thf(func_def_31, type, late_transitions: (pi > late_residual > $o)).
% 0.34/0.28 thf(func_def_32, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.34/0.28 thf(func_def_33, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 0.34/0.28 thf(func_def_34, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 0.34/0.28 thf(func_def_35, type, supp: !>[X0: $tType, X1: $tType]:((X0 > set @ X1))).
% 0.34/0.28 thf(func_def_36, type, supports: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > $o))).
% 0.34/0.28 thf(func_def_37, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.34/0.28 thf(func_def_38, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.34/0.28 thf(func_def_39, type, p: pi).
% 0.34/0.28 thf(func_def_40, type, pqr: pi).
% 0.34/0.28 thf(func_def_41, type, p2: pi).
% 0.34/0.28 thf(func_def_42, type, q: pi).
% 0.34/0.28 thf(func_def_43, type, qr: pi).
% 0.34/0.28 thf(func_def_44, type, q2: pi).
% 0.34/0.28 thf(func_def_45, type, r: pi).
% 0.34/0.28 thf(func_def_46, type, alpha: late_freeRes).
% 0.34/0.28 thf(func_def_47, type, a: name).
% 0.34/0.28 thf(func_def_48, type, b: name).
% 0.34/0.28 thf(func_def_49, type, x: name).
% 0.34/0.28 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 0.34/0.28 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.34/0.28 thf(func_def_55, type, db0: !>[X0: $tType]:(X0)).
% 0.34/0.28 thf(func_def_56, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.34/0.28 thf(func_def_57, type, db1: !>[X0: $tType]:(X0)).
% 0.34/0.28 thf(func_def_58, type, vNOT: ($o > $o)).
% 0.34/0.28 thf(func_def_59, type, vOR: ($o > $o > $o)).
% 0.34/0.28 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.34/0.28 thf(func_def_61, type, db2: !>[X0: $tType]:(X0)).
% 0.34/0.28 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 0.34/0.28 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 0.34/0.28 thf(func_def_64, type, sP0: (pi > pi > late_subject > name > pi > $o)).
% 0.34/0.28 thf(func_def_65, type, sK1: ((late_freeRes > $o) > name)).
% 0.34/0.28 thf(func_def_66, type, sK2: ((late_freeRes > $o) > name)).
% 0.34/0.28 thf(func_def_67, type, sK3: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.34/0.28 thf(func_def_68, type, sK4: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.34/0.28 thf(func_def_69, type, sK5: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.34/0.28 thf(func_def_70, type, sK6: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.34/0.28 thf(func_def_71, type, sK7: (late_freeRes > name)).
% 0.34/0.28 thf(func_def_72, type, sK8: (late_freeRes > name)).
% 0.34/0.28 thf(func_def_73, type, sK9: (pi > pi > late_subject > name > pi > pi)).
% 0.34/0.28 thf(func_def_74, type, sK10: (pi > pi > late_subject > name > pi > name)).
% 0.34/0.28 thf(func_def_75, type, sK11: (pi > pi > late_subject > name > pi > late_subject)).
% 0.34/0.28 thf(func_def_76, type, sK12: (pi > pi > late_subject > name > pi > pi)).
% 0.34/0.28 thf(func_def_77, type, sK13: (pi > pi > late_subject > name > pi > pi)).
% 0.34/0.28 thf(func_def_78, type, sK14: (name > pi > late_subject > pi > pi > pi)).
% 0.34/0.28 thf(func_def_79, type, sK15: (name > pi > late_subject > pi > pi > name)).
% 0.34/0.28 thf(func_def_80, type, sK16: (name > pi > late_subject > pi > pi > pi)).
% 0.34/0.28 thf(func_def_81, type, sK17: (name > pi > late_subject > pi > pi > late_subject)).
% 0.34/0.28 thf(func_def_82, type, sK18: (name > pi > late_subject > pi > pi > pi)).
% 0.34/0.28 thf(func_def_83, type, sK19: ((late_residual > $o) > late_subject)).
% 0.34/0.28 thf(func_def_84, type, sK20: ((late_residual > $o) > pi)).
% 0.34/0.28 thf(func_def_85, type, sK21: ((late_residual > $o) > name)).
% 0.34/0.28 thf(func_def_86, type, sK22: ((late_residual > $o) > late_freeRes)).
% 0.34/0.28 thf(func_def_87, type, sK23: ((late_residual > $o) > pi)).
% 0.34/0.28 thf(func_def_88, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.34/0.28 thf(func_def_89, type, sK25: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.34/0.28 thf(func_def_90, type, sK26: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.34/0.28 thf(func_def_91, type, sK27: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.34/0.28 thf(func_def_92, type, sK28: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.34/0.28 thf(func_def_93, type, sK29: (pi > pi > late_freeRes > name > pi)).
% 0.34/0.28 thf(func_def_94, type, sK30: (pi > pi > late_freeRes > name > pi)).
% 0.34/0.28 thf(func_def_95, type, sK31: (pi > pi > late_freeRes > name > late_freeRes)).
% 0.34/0.28 thf(func_def_96, type, sK32: (pi > pi > late_freeRes > name > name)).
% 0.34/0.28 thf(func_def_97, type, sK33: (pi > (pi > $o) > late_freeRes > name > pi)).
% 0.34/0.28 thf(func_def_98, type, sK34: (pi > name > name > late_residual > name)).
% 0.34/0.28 thf(func_def_99, type, sK35: (pi > name > name > late_residual > pi)).
% 0.34/0.28 thf(func_def_100, type, sK36: (pi > name > name > late_residual > name)).
% 0.34/0.28 thf(func_def_101, type, sK37: (pi > late_residual > pi)).
% 0.34/0.28 thf(func_def_102, type, sK38: (pi > late_residual > pi)).
% 0.34/0.28 thf(func_def_103, type, sK39: (late_subject > pi > (pi > $o) > pi > name > pi)).
% 0.34/0.28 thf(func_def_104, type, sK40: (late_subject > pi > (pi > $o) > pi > name > pi)).
% 0.34/0.28 thf(f4,axiom,(
% 0.34/0.28 (late_transitions @ (par @ p @ q) @ (late_FreeR @ late_TauR @ (par @ p2 @ (subs @ q2 @ x @ b))))),
% 0.34/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_H_091x_058_058_061b_093_092_060close_062)).
% 0.34/0.28 thf(f12,axiom,(
% 0.34/0.28 ! [X0 : pi,X2 : pi,X3 : pi,X1 : late_freeRes] : ((late_transitions @ X0 @ (late_FreeR @ X1 @ X2)) => (late_transitions @ (par @ X0 @ X3) @ (late_FreeR @ X1 @ (par @ X2 @ X3))))),
% 0.34/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_Par1F)).
% 0.34/0.28 thf(f275,conjecture,(
% 0.34/0.28 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (par @ p2 @ (subs @ q2 @ x @ b)) @ r)))),
% 0.34/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.34/0.28 thf(f276,negated_conjecture,(
% 0.34/0.28 ~(late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (par @ p2 @ (subs @ q2 @ x @ b)) @ r)))),
% 0.34/0.28 inference(negated_conjecture,[status(cth)],[f275])).
% 0.34/0.28 thf(f378,plain,(
% 0.34/0.28 ! [X0 : pi,X1 : pi,X2 : pi,X3 : late_freeRes] : ((late_transitions @ X0 @ (late_FreeR @ X3 @ X1)) => (late_transitions @ (par @ X0 @ X2) @ (late_FreeR @ X3 @ (par @ X1 @ X2))))),
% 0.34/0.28 inference(rectify,[],[f12])).
% 0.34/0.28 thf(f379,plain,(
% 0.34/0.28 ! [X3 : late_freeRes,X2 : pi,X0 : pi,X1 : pi] : ((((late_transitions @ X0 @ (late_FreeR @ X3 @ X1))) = $true) => (((late_transitions @ (par @ X0 @ X2) @ (late_FreeR @ X3 @ (par @ X1 @ X2)))) = $true))),
% 0.34/0.28 inference(fool_elimination,[],[f378])).
% 0.34/0.28 thf(f459,plain,(
% 0.34/0.28 ~(late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (par @ p2 @ (subs @ q2 @ x @ b)) @ r)))),
% 0.34/0.28 inference(rectify,[],[f276])).
% 0.34/0.28 thf(f460,plain,(
% 0.34/0.28 ~ (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (par @ p2 @ (subs @ q2 @ x @ b)) @ r)))) = $true)),
% 0.34/0.28 inference(fool_elimination,[],[f459])).
% 0.34/0.28 thf(f577,plain,(
% 0.34/0.28 (late_transitions @ (par @ p @ q) @ (late_FreeR @ late_TauR @ (par @ p2 @ (subs @ q2 @ x @ b))))),
% 0.34/0.28 inference(rectify,[],[f4])).
% 0.34/0.28 thf(f578,plain,(
% 0.34/0.28 (((late_transitions @ (par @ p @ q) @ (late_FreeR @ late_TauR @ (par @ p2 @ (subs @ q2 @ x @ b))))) = $true)),
% 0.34/0.28 inference(fool_elimination,[],[f577])).
% 0.34/0.28 thf(f636,plain,(
% 0.34/0.28 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (par @ p2 @ (subs @ q2 @ x @ b)) @ r)))) != $true)),
% 0.34/0.28 inference(flattening,[],[f460])).
% 0.34/0.28 thf(f698,plain,(
% 0.34/0.28 ! [X0 : pi,X1 : pi,X2 : pi,X3 : late_freeRes] : ((((late_transitions @ X0 @ (late_FreeR @ X3 @ X1))) != $true) | (((late_transitions @ (par @ X0 @ X2) @ (late_FreeR @ X3 @ (par @ X1 @ X2)))) = $true))),
% 0.34/0.28 inference(ennf_transformation,[],[f379])).
% 0.34/0.28 thf(f834,plain,(
% 0.34/0.28 ( ! [X2 : pi,X3 : late_freeRes,X0 : pi,X1 : pi] : ((((late_transitions @ (par @ X0 @ X2) @ (late_FreeR @ X3 @ (par @ X1 @ X2)))) = $true) | (((late_transitions @ X0 @ (late_FreeR @ X3 @ X1))) != $true)) )),
% 0.34/0.28 inference(cnf_transformation,[],[f698])).
% 0.34/0.28 thf(f878,plain,(
% 0.34/0.28 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (par @ p2 @ (subs @ q2 @ x @ b)) @ r)))) != $true)),
% 0.34/0.28 inference(cnf_transformation,[],[f636])).
% 0.34/0.28 thf(f912,plain,(
% 0.34/0.28 (((late_transitions @ (par @ p @ q) @ (late_FreeR @ late_TauR @ (par @ p2 @ (subs @ q2 @ x @ b))))) = $true)),
% 0.34/0.28 inference(cnf_transformation,[],[f578])).
% 0.34/0.28 thf(f937,plain,(
% 0.34/0.28 (((late_transitions @ (par @ p @ q) @ (late_FreeR @ late_TauR @ (par @ p2 @ (subs @ q2 @ x @ b))))) != $true) | ($true != $true)),
% 0.34/0.28 inference(superposition,[],[f878,f834])).
% 0.34/0.28 thf(f939,plain,(
% 0.34/0.28 (((late_transitions @ (par @ p @ q) @ (late_FreeR @ late_TauR @ (par @ p2 @ (subs @ q2 @ x @ b))))) != $true)),
% 0.34/0.28 inference(trivial_inequality_removal,[],[f937])).
% 0.34/0.28 thf(f941,plain,(
% 0.34/0.28 $false),
% 0.34/0.28 inference(forward_subsumption_resolution,[],[f939,f912])).
% 0.34/0.28 % SZS output end Proof for theBenchmark
% 0.34/0.28 % (621413)------------------------------
% 0.34/0.28 % (621413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.28 % (621413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.28 % (621413)CaDiCaL version: 2.1.3
% 0.34/0.28 % (621413)Termination reason: Refutation
% 0.34/0.28 % (621413)Time elapsed: 0.021 s
% 0.34/0.28 % (621413)Peak memory usage: 13 MB
% 0.34/0.28 % (621413)Instructions burned: 80 (million)
% 0.34/0.28 % (621377)Success in time 0.109 s
% 0.34/0.28 % Vampire exiting
%------------------------------------------------------------------------------