%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP124^2 : 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 : n015.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 08:08:27 AM UTC 2026
% Result : Theorem 0.53s 0.44s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP124^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.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 20:00:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.23/0.27 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
% 0.53/0.41 % (4038137)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.41 % (4038147)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3557946352:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.41 % (4038148)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.41 % (4038148)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
% 0.53/0.41 % (4038144)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=22844570:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.41 % (4038143)lrs+10_16_si=on:nwc=1.5:random_seed=1447289345:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.41 % (4038145)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=1781308580: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)
% 0.53/0.41 % (4038146)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=418397444:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.41 % (4038148)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=2182658951:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.41 % (4038142)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=338625552:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.41 % (4038144)Instruction limit reached!
% 0.53/0.41 % (4038144)------------------------------
% 0.53/0.41 % (4038144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (4038144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (4038144)CaDiCaL version: 2.1.3
% 0.53/0.41 % (4038144)Termination reason: Instruction limit
% 0.53/0.41 % (4038144)Termination phase: shuffling
% 0.53/0.41 % (4038144)Time elapsed: 0.002 s
% 0.53/0.41 % (4038144)Peak memory usage: 10 MB
% 0.53/0.41 % (4038144)Instructions burned: 3 (million)
% 0.53/0.41 % (4038143)Instruction limit reached!
% 0.53/0.41 % (4038143)------------------------------
% 0.53/0.41 % (4038143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (4038143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (4038143)CaDiCaL version: 2.1.3
% 0.53/0.41 % (4038143)Termination reason: Instruction limit
% 0.53/0.41 % (4038143)Termination phase: Property scanning
% 0.53/0.41 % (4038143)Time elapsed: 0.009 s
% 0.53/0.41 % (4038143)Peak memory usage: 10 MB
% 0.53/0.41 % (4038143)Instructions burned: 19 (million)
% 0.53/0.41 % (4038146)Instruction limit reached!
% 0.53/0.41 % (4038146)------------------------------
% 0.53/0.41 % (4038146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (4038146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (4038146)CaDiCaL version: 2.1.3
% 0.53/0.41 % (4038146)Termination reason: Instruction limit
% 0.53/0.41 % (4038146)Termination phase: Preprocessing 1
% 0.53/0.41 % (4038146)Time elapsed: 0.011 s
% 0.53/0.41 % (4038146)Peak memory usage: 10 MB
% 0.53/0.41 % (4038146)Instructions burned: 24 (million)
% 0.53/0.41 % (4038147)Instruction limit reached!
% 0.53/0.41 % (4038147)------------------------------
% 0.53/0.41 % (4038147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (4038147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (4038147)CaDiCaL version: 2.1.3
% 0.53/0.41 % (4038147)Termination reason: Instruction limit
% 0.53/0.41 % (4038147)Termination phase: Saturation
% 0.53/0.41 % (4038147)Time elapsed: 0.019 s
% 0.53/0.41 % (4038147)Peak memory usage: 12 MB
% 0.53/0.41 % (4038147)Instructions burned: 77 (million)
% 0.53/0.41 % (4038156)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3972035080:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.41 % (4038159)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4226081907:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.44 % (4038156)Instruction limit reached!
% 0.53/0.44 % (4038156)------------------------------
% 0.53/0.44 % (4038156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038156)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038156)Termination reason: Instruction limit
% 0.53/0.44 % (4038156)Termination phase: shuffling
% 0.53/0.44 % (4038156)Time elapsed: 0.002 s
% 0.53/0.44 % (4038156)Peak memory usage: 10 MB
% 0.53/0.44 % (4038156)Instructions burned: 4 (million)
% 0.53/0.44 % (4038159)Instruction limit reached!
% 0.53/0.44 % (4038159)------------------------------
% 0.53/0.44 % (4038159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038159)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038159)Termination reason: Instruction limit
% 0.53/0.44 % (4038159)Termination phase: shuffling
% 0.53/0.44 % (4038159)Time elapsed: 0.003 s
% 0.53/0.44 % (4038159)Peak memory usage: 10 MB
% 0.53/0.44 % (4038159)Instructions burned: 14 (million)
% 0.53/0.44 % (4038158)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (4038157)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1252457105:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.44 % (4038158)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2787894919:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.44 % (4038157)Instruction limit reached!
% 0.53/0.44 % (4038157)------------------------------
% 0.53/0.44 % (4038157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038157)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038157)Termination reason: Instruction limit
% 0.53/0.44 % (4038157)Termination phase: shuffling
% 0.53/0.44 % (4038157)Time elapsed: 0.003 s
% 0.53/0.44 % (4038157)Peak memory usage: 10 MB
% 0.53/0.44 % (4038157)Instructions burned: 5 (million)
% 0.53/0.44 % (4038158)Instruction limit reached!
% 0.53/0.44 % (4038158)------------------------------
% 0.53/0.44 % (4038158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038158)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038158)Termination reason: Instruction limit
% 0.53/0.44 % (4038158)Termination phase: shuffling
% 0.53/0.44 % (4038158)Time elapsed: 0.004 s
% 0.53/0.44 % (4038158)Peak memory usage: 10 MB
% 0.53/0.44 % (4038158)Instructions burned: 9 (million)
% 0.53/0.44 % (4038163)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=3907739803:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.53/0.44 % (4038162)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 % (4038162)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (4038162)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=842360514:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.44 % (4038167)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.44 % (4038166)lrs+10_1_si=on:cs=on:random_seed=2537584708:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.53/0.44 % (4038167)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=1044508765:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.44 % (4038166)Instruction limit reached!
% 0.53/0.44 % (4038166)------------------------------
% 0.53/0.44 % (4038166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038166)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038166)Termination reason: Instruction limit
% 0.53/0.44 % (4038166)Termination phase: shuffling
% 0.53/0.44 % (4038166)Time elapsed: 0.004 s
% 0.53/0.44 % (4038166)Peak memory usage: 10 MB
% 0.53/0.44 % (4038166)Instructions burned: 8 (million)
% 0.53/0.44 % (4038162)Instruction limit reached!
% 0.53/0.44 % (4038162)------------------------------
% 0.53/0.44 % (4038162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038162)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038162)Termination reason: Instruction limit
% 0.53/0.44 % (4038162)Termination phase: Property scanning
% 0.53/0.44 % (4038162)Time elapsed: 0.013 s
% 0.53/0.44 % (4038162)Peak memory usage: 10 MB
% 0.53/0.44 % (4038162)Instructions burned: 29 (million)
% 0.53/0.44 % (4038167)Instruction limit reached!
% 0.53/0.44 % (4038167)------------------------------
% 0.53/0.44 % (4038167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038167)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038167)Termination reason: Instruction limit
% 0.53/0.44 % (4038167)Termination phase: shuffling
% 0.53/0.44 % (4038167)Time elapsed: 0.002 s
% 0.53/0.44 % (4038167)Peak memory usage: 10 MB
% 0.53/0.44 % (4038167)Instructions burned: 3 (million)
% 0.53/0.44 % (4038163)Instruction limit reached!
% 0.53/0.44 % (4038163)------------------------------
% 0.53/0.44 % (4038163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038163)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038163)Termination reason: Instruction limit
% 0.53/0.44 % (4038163)Termination phase: Saturation
% 0.53/0.44 % (4038163)Time elapsed: 0.020 s
% 0.53/0.44 % (4038163)Peak memory usage: 12 MB
% 0.53/0.44 % (4038163)Instructions burned: 90 (million)
% 0.53/0.44 % (4038175)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1273484588:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.44 % (4038175)Instruction limit reached!
% 0.53/0.44 % (4038175)------------------------------
% 0.53/0.44 % (4038175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038175)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038175)Termination reason: Instruction limit
% 0.53/0.44 % (4038175)Termination phase: Property scanning
% 0.53/0.44 % (4038175)Time elapsed: 0.004 s
% 0.53/0.44 % (4038175)Peak memory usage: 10 MB
% 0.53/0.44 % (4038175)Instructions burned: 17 (million)
% 0.53/0.44 % (4038142)Instruction limit reached!
% 0.53/0.44 % (4038142)------------------------------
% 0.53/0.44 % (4038142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038142)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038142)Termination reason: Instruction limit
% 0.53/0.44 % (4038142)Termination phase: Saturation
% 0.53/0.44 % (4038142)Time elapsed: 0.074 s
% 0.53/0.44 % (4038142)Peak memory usage: 13 MB
% 0.53/0.44 % (4038142)Instructions burned: 88 (million)
% 0.53/0.44 % (4038172)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=659230646:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.53/0.44 % (4038173)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3297244058:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.53/0.44 % (4038174)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4180119227:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.53/0.44 % (4038148)Instruction limit reached!
% 0.53/0.44 % (4038148)------------------------------
% 0.53/0.44 % (4038148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038148)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038148)Termination reason: Instruction limit
% 0.53/0.44 % (4038148)Termination phase: Saturation
% 0.53/0.44 % (4038148)Time elapsed: 0.082 s
% 0.53/0.44 % (4038148)Peak memory usage: 13 MB
% 0.53/0.44 % (4038148)Instructions burned: 157 (million)
% 0.53/0.44 % (4038177)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1025877873:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.53/0.44 % (4038174)Instruction limit reached!
% 0.53/0.44 % (4038174)------------------------------
% 0.53/0.44 % (4038174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038174)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038174)Termination reason: Instruction limit
% 0.53/0.44 % (4038174)Termination phase: SInE selection
% 0.53/0.44 % (4038174)Time elapsed: 0.012 s
% 0.53/0.44 % (4038174)Peak memory usage: 10 MB
% 0.53/0.44 % (4038174)Instructions burned: 26 (million)
% 0.53/0.44 % (4038172)Instruction limit reached!
% 0.53/0.44 % (4038172)------------------------------
% 0.53/0.44 % (4038172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038172)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038172)Termination reason: Instruction limit
% 0.53/0.44 % (4038172)Termination phase: Saturation
% 0.53/0.44 % (4038172)Time elapsed: 0.018 s
% 0.53/0.44 % (4038172)Peak memory usage: 12 MB
% 0.53/0.44 % (4038172)Instructions burned: 40 (million)
% 0.53/0.44 % (4038179)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=798881676:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.44 % (4038173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4038137-4038173"...
% 0.53/0.44 % (4038183)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4156541532: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)
% 0.53/0.44 % (4038173)...printing done.
% 0.53/0.44 % (4038173)Refutation found. Thanks to Tanya!
% 0.53/0.44 % SZS status Theorem for theBenchmark
% 0.53/0.44 % SZS output start Proof for theBenchmark
% 0.53/0.44 thf(type_def_5, type, set: $tType > $tType).
% 0.53/0.44 thf(type_def_6, type, a: $tType).
% 0.53/0.44 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.53/0.44 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.53/0.44 thf(func_def_1, type, order: !>[X0: $tType]:($o)).
% 0.53/0.44 thf(func_def_2, type, finite_finite: !>[X0: $tType]:($o)).
% 0.53/0.44 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 0.53/0.44 thf(func_def_4, type, condit2040224947_above: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.53/0.44 thf(func_def_5, type, condit1201339847_below: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.53/0.44 thf(func_def_6, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > $o))).
% 0.53/0.44 thf(func_def_7, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 0.53/0.44 thf(func_def_8, type, abel_semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.53/0.44 thf(func_def_9, type, semigroup: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.53/0.44 thf(func_def_10, type, semilattice: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.53/0.44 thf(func_def_11, type, lattic1263571978nf_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 0.53/0.44 thf(func_def_12, type, lattic35693393ce_set: !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 0.53/0.44 thf(func_def_13, type, lattic1039401930up_fin: !>[X0: $tType]:(((X0 > X0 > X0) > set @ X0 > X0))).
% 0.53/0.44 thf(func_def_14, type, modula1221160330_d_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.53/0.44 thf(func_def_15, type, modula1593167561_e_aux: !>[X0: $tType]:(((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0))).
% 0.53/0.44 thf(func_def_16, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.53/0.44 thf(func_def_17, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 0.53/0.44 thf(func_def_18, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.53/0.44 thf(func_def_19, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.53/0.44 thf(func_def_20, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.53/0.44 thf(func_def_21, type, greatest: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 0.53/0.44 thf(func_def_22, type, antimono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.53/0.44 thf(func_def_23, type, mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.53/0.44 thf(func_def_24, type, transp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 0.53/0.44 thf(func_def_25, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.53/0.44 thf(func_def_26, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.53/0.44 thf(func_def_27, type, set_atLeast: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.53/0.44 thf(func_def_28, type, set_atLeastAtMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 0.53/0.44 thf(func_def_29, type, set_atMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.53/0.44 thf(func_def_30, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.53/0.44 thf(func_def_31, type, a2: a).
% 0.53/0.44 thf(func_def_32, type, b: a).
% 0.53/0.44 thf(func_def_33, type, c: a).
% 0.53/0.44 thf(func_def_34, type, inf: (a > a > a)).
% 0.53/0.44 thf(func_def_35, type, less_eq: (a > a > $o)).
% 0.53/0.44 thf(func_def_36, type, sup: (a > a > a)).
% 0.53/0.44 thf(func_def_40, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.53/0.44 thf(func_def_41, type, vIMP: ($o > $o > $o)).
% 0.53/0.44 thf(func_def_42, type, db1: !>[X0: $tType]:(X0)).
% 0.53/0.44 thf(func_def_43, type, db0: !>[X0: $tType]:(X0)).
% 0.53/0.44 thf(func_def_44, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.53/0.44 thf(func_def_45, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.53/0.44 thf(func_def_46, type, vOR: ($o > $o > $o)).
% 0.53/0.44 thf(func_def_47, type, vNOT: ($o > $o)).
% 0.53/0.44 thf(func_def_48, type, vAND: ($o > $o > $o)).
% 0.53/0.44 thf(func_def_49, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.53/0.44 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 0.53/0.44 thf(func_def_51, type, db3: !>[X0: $tType]:(X0)).
% 0.53/0.44 thf(func_def_52, type, sK0: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.53/0.44 thf(func_def_53, type, sK1: a).
% 0.53/0.44 thf(func_def_54, type, sK2: a).
% 0.53/0.44 thf(func_def_55, type, sK3: a).
% 0.53/0.44 thf(func_def_56, type, sK4: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_57, type, sK5: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_58, type, sK6: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_59, type, sK7: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_60, type, sK8: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_61, type, sK9: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_62, type, sK10: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_63, type, sK11: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_64, type, sK12: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_65, type, sK13: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_66, type, sK14: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_67, type, sK15: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_68, type, sK16: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_69, type, sK17: ((a > a > a) > a)).
% 0.53/0.44 thf(func_def_70, type, sK18: a).
% 0.53/0.44 thf(func_def_71, type, sK19: a).
% 0.53/0.44 thf(func_def_72, type, sK20: a).
% 0.53/0.44 thf(f2,axiom,(
% 0.53/0.44 ! [X1 : a,X0 : a] : (((inf @ X0 @ X1)) = ((inf @ X1 @ X0)))),
% 0.53/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_local_Oinf_Ocommute)).
% 0.53/0.44 thf(f6,axiom,(
% 0.53/0.44 ! [X1 : a,X0 : a,X2 : a] : (((inf @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (inf @ X0 @ X2))))),
% 0.53/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_local_Oinf__left__commute)).
% 0.53/0.44 thf(f8,axiom,(
% 0.53/0.44 ! [X1 : a,X0 : a] : (((sup @ X0 @ X1)) = ((sup @ X1 @ X0)))),
% 0.53/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_local_Osup_Ocommute)).
% 0.53/0.44 thf(f15,axiom,(
% 0.53/0.44 ! [X2 : a,X1 : a,X0 : a] : (((modula1593167561_e_aux @ a @ inf @ sup @ X0 @ X1 @ X2)) = ((inf @ (inf @ (sup @ X0 @ X1) @ (sup @ X1 @ X2)) @ (sup @ X2 @ X0))))),
% 0.53/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_e__aux__def)).
% 0.53/0.44 thf(f264,conjecture,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) = ((modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)))),
% 0.53/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.53/0.44 thf(f265,negated_conjecture,(
% 0.53/0.44 ~ (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) = ((modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)))),
% 0.53/0.44 inference(negated_conjecture,[status(cth)],[f264])).
% 0.53/0.44 thf(f684,plain,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) != ((modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)))),
% 0.53/0.44 inference(flattening,[],[f265])).
% 0.53/0.44 thf(f685,plain,(
% 0.53/0.44 ! [X2 : a,X1 : a,X0 : a] : (((inf @ (inf @ (sup @ X2 @ X1) @ (sup @ X1 @ X0)) @ (sup @ X0 @ X2))) = ((modula1593167561_e_aux @ a @ inf @ sup @ X2 @ X1 @ X0)))),
% 0.53/0.44 inference(rectify,[],[f15])).
% 0.53/0.44 thf(f694,plain,(
% 0.53/0.44 ! [X1 : a,X0 : a] : (((inf @ X0 @ X1)) = ((inf @ X1 @ X0)))),
% 0.53/0.44 inference(rectify,[],[f2])).
% 0.53/0.44 thf(f695,plain,(
% 0.53/0.44 ! [X1 : a,X0 : a,X2 : a] : (((inf @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (inf @ X0 @ X2))))),
% 0.53/0.44 inference(rectify,[],[f6])).
% 0.53/0.44 thf(f698,plain,(
% 0.53/0.44 ! [X0 : a,X1 : a] : (((sup @ X0 @ X1)) = ((sup @ X1 @ X0)))),
% 0.53/0.44 inference(rectify,[],[f8])).
% 0.53/0.44 thf(f773,plain,(
% 0.53/0.44 ! [X0 : a,X1 : a] : (((inf @ X0 @ X1)) = ((inf @ X1 @ X0)))),
% 0.53/0.44 inference(rectify,[],[f694])).
% 0.53/0.44 thf(f809,plain,(
% 0.53/0.44 ! [X0 : a,X1 : a,X2 : a] : (((inf @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (inf @ X0 @ X2))))),
% 0.53/0.44 inference(rectify,[],[f695])).
% 0.53/0.44 thf(f816,plain,(
% 0.53/0.44 ! [X0 : a,X1 : a,X2 : a] : (((modula1593167561_e_aux @ a @ inf @ sup @ X0 @ X1 @ X2)) = ((inf @ (inf @ (sup @ X0 @ X1) @ (sup @ X1 @ X2)) @ (sup @ X2 @ X0))))),
% 0.53/0.44 inference(rectify,[],[f685])).
% 0.53/0.44 thf(f835,plain,(
% 0.53/0.44 ( ! [X0 : a,X1 : a] : ((((inf @ X0 @ X1)) = ((inf @ X1 @ X0)))) )),
% 0.53/0.44 inference(cnf_transformation,[],[f773])).
% 0.53/0.44 thf(f843,plain,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) != ((modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c)))),
% 0.53/0.44 inference(cnf_transformation,[],[f684])).
% 0.53/0.44 thf(f886,plain,(
% 0.53/0.44 ( ! [X2 : a,X0 : a,X1 : a] : ((((inf @ X0 @ (inf @ X1 @ X2))) = ((inf @ X1 @ (inf @ X0 @ X2))))) )),
% 0.53/0.44 inference(cnf_transformation,[],[f809])).
% 0.53/0.44 thf(f895,plain,(
% 0.53/0.44 ( ! [X2 : a,X0 : a,X1 : a] : ((((modula1593167561_e_aux @ a @ inf @ sup @ X0 @ X1 @ X2)) = ((inf @ (inf @ (sup @ X0 @ X1) @ (sup @ X1 @ X2)) @ (sup @ X2 @ X0))))) )),
% 0.53/0.44 inference(cnf_transformation,[],[f816])).
% 0.53/0.44 thf(f904,plain,(
% 0.53/0.44 ( ! [X0 : a,X1 : a] : ((((sup @ X0 @ X1)) = ((sup @ X1 @ X0)))) )),
% 0.53/0.44 inference(cnf_transformation,[],[f698])).
% 0.53/0.44 thf(f933,plain,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) != ((inf @ (inf @ (sup @ a2 @ b) @ (sup @ b @ c)) @ (sup @ c @ a2))))),
% 0.53/0.44 inference(forward_demodulation,[],[f843,f895])).
% 0.53/0.44 thf(f934,plain,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ a2 @ b) @ (sup @ b @ c)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f933,f835])).
% 0.53/0.44 thf(f935,plain,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ a2 @ b) @ (sup @ c @ b)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f934,f904])).
% 0.53/0.44 thf(f936,plain,(
% 0.53/0.44 (((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2)) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f935,f835])).
% 0.53/0.44 thf(f937,plain,(
% 0.53/0.44 (((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))) != ((inf @ (inf @ (sup @ b @ c) @ (sup @ c @ a2)) @ (sup @ a2 @ b))))),
% 0.53/0.44 inference(forward_demodulation,[],[f936,f895])).
% 0.53/0.44 thf(f938,plain,(
% 0.53/0.44 (((inf @ (sup @ a2 @ b) @ (inf @ (sup @ b @ c) @ (sup @ c @ a2)))) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f937,f835])).
% 0.53/0.44 thf(f939,plain,(
% 0.53/0.44 (((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))) != ((inf @ (sup @ a2 @ b) @ (inf @ (sup @ c @ a2) @ (sup @ b @ c)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f938,f835])).
% 0.53/0.44 thf(f940,plain,(
% 0.53/0.44 (((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ a2 @ b) @ (sup @ b @ c)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f939,f886])).
% 0.53/0.44 thf(f941,plain,(
% 0.53/0.44 (((inf @ (sup @ c @ a2) @ (inf @ (sup @ a2 @ b) @ (sup @ c @ b)))) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f940,f904])).
% 0.53/0.44 thf(f942,plain,(
% 0.53/0.44 (((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))) != ((inf @ (sup @ c @ a2) @ (inf @ (sup @ c @ b) @ (sup @ a2 @ b)))))),
% 0.53/0.44 inference(forward_demodulation,[],[f941,f835])).
% 0.53/0.44 thf(f943,plain,(
% 0.53/0.44 $false),
% 0.53/0.44 inference(trivial_inequality_removal,[],[f942])).
% 0.53/0.44 % SZS output end Proof for theBenchmark
% 0.53/0.44 % (4038173)------------------------------
% 0.53/0.44 % (4038173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (4038173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (4038173)CaDiCaL version: 2.1.3
% 0.53/0.44 % (4038173)Termination reason: Refutation
% 0.53/0.44 % (4038173)Time elapsed: 0.024 s
% 0.53/0.44 % (4038173)Peak memory usage: 13 MB
% 0.53/0.44 % (4038173)Instructions burned: 50 (million)
% 0.53/0.44 % (4038137)Success in time 0.156 s
% 0.53/0.44 % Vampire exiting
%------------------------------------------------------------------------------