%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP168^2 : 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 : n009.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 08:08:39 AM UTC 2026
% Result : Theorem 1.83s 0.60s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP168^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n009.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 20:05:15 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.42 % (288918)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.44/0.42 % (288940)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=374029994:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.44/0.42 % (288947)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.44/0.42 % (288947)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
% 0.44/0.42 % (288941)lrs+10_16_si=on:nwc=1.5:random_seed=4256192336:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.44/0.42 % (288946)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1516404732:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.44/0.42 % (288943)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=1373375087: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)
% 0.44/0.42 % (288947)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=2895892435:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.44/0.42 % (288944)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2614500672:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.44/0.42 % (288942)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3528716791:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.44/0.42 % (288941)Instruction limit reached!
% 0.44/0.42 % (288941)------------------------------
% 0.44/0.42 % (288941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.42 % (288941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.42 % (288941)CaDiCaL version: 2.1.3
% 0.44/0.42 % (288941)Termination reason: Instruction limit
% 0.44/0.42 % (288941)Termination phase: shuffling
% 0.44/0.42 % (288941)Time elapsed: 0.010 s
% 0.44/0.42 % (288941)Peak memory usage: 10 MB
% 0.44/0.42 % (288941)Instructions burned: 19 (million)
% 0.44/0.42 % (288942)Instruction limit reached!
% 0.44/0.42 % (288942)------------------------------
% 0.44/0.42 % (288942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.42 % (288942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.42 % (288942)CaDiCaL version: 2.1.3
% 0.44/0.42 % (288942)Termination reason: Instruction limit
% 0.44/0.42 % (288942)Termination phase: shuffling
% 0.44/0.42 % (288942)Time elapsed: 0.003 s
% 0.44/0.42 % (288942)Peak memory usage: 10 MB
% 0.44/0.42 % (288942)Instructions burned: 5 (million)
% 0.44/0.42 % (288944)Instruction limit reached!
% 0.44/0.42 % (288944)------------------------------
% 0.44/0.42 % (288944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.42 % (288944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.42 % (288944)CaDiCaL version: 2.1.3
% 0.44/0.42 % (288944)Termination reason: Instruction limit
% 0.44/0.42 % (288944)Termination phase: Property scanning
% 0.44/0.42 % (288944)Time elapsed: 0.013 s
% 0.44/0.42 % (288944)Peak memory usage: 10 MB
% 0.44/0.42 % (288944)Instructions burned: 24 (million)
% 0.44/0.42 % (288940)Instruction limit reached!
% 0.44/0.42 % (288940)------------------------------
% 0.44/0.42 % (288940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.42 % (288940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.42 % (288940)CaDiCaL version: 2.1.3
% 0.44/0.42 % (288940)Termination reason: Instruction limit
% 0.44/0.42 % (288940)Termination phase: Property scanning
% 0.44/0.42 % (288940)Time elapsed: 0.023 s
% 0.44/0.42 % (288940)Peak memory usage: 12 MB
% 0.44/0.42 % (288940)Instructions burned: 92 (million)
% 0.44/0.42 % (288974)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=192685661:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.44/0.42 % (288968)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2523399830:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.44/0.42 % (288972)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.46 % (288970)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2363387045:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.12/0.46 % (288968)Instruction limit reached!
% 1.12/0.46 % (288968)------------------------------
% 1.12/0.46 % (288968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.46 % (288968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.46 % (288968)CaDiCaL version: 2.1.3
% 1.12/0.46 % (288968)Termination reason: Instruction limit
% 1.12/0.46 % (288968)Termination phase: shuffling
% 1.12/0.46 % (288968)Time elapsed: 0.002 s
% 1.12/0.46 % (288968)Peak memory usage: 10 MB
% 1.12/0.46 % (288968)Instructions burned: 3 (million)
% 1.12/0.46 % (288974)Instruction limit reached!
% 1.12/0.46 % (288974)------------------------------
% 1.12/0.46 % (288974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.46 % (288974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.46 % (288974)CaDiCaL version: 2.1.3
% 1.12/0.46 % (288974)Termination reason: Instruction limit
% 1.12/0.46 % (288974)Termination phase: shuffling
% 1.12/0.46 % (288974)Time elapsed: 0.004 s
% 1.12/0.46 % (288974)Peak memory usage: 10 MB
% 1.12/0.46 % (288974)Instructions burned: 16 (million)
% 1.12/0.46 % (288970)Instruction limit reached!
% 1.12/0.46 % (288970)------------------------------
% 1.12/0.46 % (288970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.46 % (288970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.46 % (288970)CaDiCaL version: 2.1.3
% 1.12/0.46 % (288970)Termination reason: Instruction limit
% 1.12/0.46 % (288970)Termination phase: shuffling
% 1.12/0.46 % (288970)Time elapsed: 0.003 s
% 1.12/0.46 % (288970)Peak memory usage: 10 MB
% 1.12/0.46 % (288970)Instructions burned: 5 (million)
% 1.12/0.46 % (288972)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1961083044:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.12/0.46 % (288946)Instruction limit reached!
% 1.12/0.46 % (288946)------------------------------
% 1.12/0.46 % (288946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.46 % (288946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.46 % (288946)CaDiCaL version: 2.1.3
% 1.12/0.46 % (288946)Termination reason: Instruction limit
% 1.12/0.46 % (288946)Termination phase: Property scanning
% 1.12/0.46 % (288946)Time elapsed: 0.038 s
% 1.12/0.46 % (288946)Peak memory usage: 12 MB
% 1.12/0.46 % (288946)Instructions burned: 77 (million)
% 1.12/0.46 % (288972)Instruction limit reached!
% 1.12/0.46 % (288972)------------------------------
% 1.12/0.46 % (288972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.46 % (288972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.46 % (288972)CaDiCaL version: 2.1.3
% 1.12/0.46 % (288972)Termination reason: Instruction limit
% 1.12/0.46 % (288972)Termination phase: shuffling
% 1.12/0.46 % (288972)Time elapsed: 0.004 s
% 1.12/0.46 % (288972)Peak memory usage: 10 MB
% 1.12/0.46 % (288972)Instructions burned: 8 (million)
% 1.12/0.46 % (288982)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=4163957355:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.12/0.46 % (288981)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
% 1.12/0.46 % (288981)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.46 % (288981)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1313773868:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.12/0.46 % (288985)lrs+10_1_si=on:cs=on:random_seed=1033980794:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.12/0.46 % (288988)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.12/0.50 % (288988)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=877972766:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.12/0.50 % (288985)Instruction limit reached!
% 1.12/0.50 % (288985)------------------------------
% 1.12/0.50 % (288985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (288985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (288985)CaDiCaL version: 2.1.3
% 1.12/0.50 % (288985)Termination reason: Instruction limit
% 1.12/0.50 % (288985)Termination phase: shuffling
% 1.12/0.50 % (288985)Time elapsed: 0.004 s
% 1.12/0.50 % (288985)Peak memory usage: 10 MB
% 1.12/0.50 % (288985)Instructions burned: 8 (million)
% 1.12/0.50 % (288989)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1736967798:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.12/0.50 % (288988)Instruction limit reached!
% 1.12/0.50 % (288988)------------------------------
% 1.12/0.50 % (288988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (288988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (288988)CaDiCaL version: 2.1.3
% 1.12/0.50 % (288988)Termination reason: Instruction limit
% 1.12/0.50 % (288988)Termination phase: shuffling
% 1.12/0.50 % (288988)Time elapsed: 0.002 s
% 1.12/0.50 % (288988)Peak memory usage: 10 MB
% 1.12/0.50 % (288988)Instructions burned: 3 (million)
% 1.12/0.50 % (288982)Instruction limit reached!
% 1.12/0.50 % (288982)------------------------------
% 1.12/0.50 % (288982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (288982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (288982)CaDiCaL version: 2.1.3
% 1.12/0.50 % (288982)Termination reason: Instruction limit
% 1.12/0.50 % (288982)Termination phase: Property scanning
% 1.12/0.50 % (288982)Time elapsed: 0.020 s
% 1.12/0.50 % (288982)Peak memory usage: 11 MB
% 1.12/0.50 % (288982)Instructions burned: 88 (million)
% 1.12/0.50 % (288981)Instruction limit reached!
% 1.12/0.50 % (288981)------------------------------
% 1.12/0.50 % (288981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (288981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (288981)CaDiCaL version: 2.1.3
% 1.12/0.50 % (288981)Termination reason: Instruction limit
% 1.12/0.50 % (288981)Termination phase: shuffling
% 1.12/0.50 % (288981)Time elapsed: 0.014 s
% 1.12/0.50 % (288981)Peak memory usage: 11 MB
% 1.12/0.50 % (288981)Instructions burned: 29 (million)
% 1.12/0.50 % (288947)Instruction limit reached!
% 1.12/0.50 % (288947)------------------------------
% 1.12/0.50 % (288947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (288947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (288947)CaDiCaL version: 2.1.3
% 1.12/0.50 % (288947)Termination reason: Instruction limit
% 1.12/0.50 % (288947)Termination phase: Saturation
% 1.12/0.50 % (288947)Time elapsed: 0.073 s
% 1.12/0.50 % (288947)Peak memory usage: 13 MB
% 1.12/0.50 % (288947)Instructions burned: 158 (million)
% 1.12/0.50 % (289009)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1278699328:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.12/0.50 % (288989)Instruction limit reached!
% 1.12/0.50 % (288989)------------------------------
% 1.12/0.50 % (288989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (288989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.50 % (288989)CaDiCaL version: 2.1.3
% 1.12/0.50 % (288989)Termination reason: Instruction limit
% 1.12/0.50 % (288989)Termination phase: SInE selection
% 1.12/0.50 % (288989)Time elapsed: 0.018 s
% 1.12/0.50 % (288989)Peak memory usage: 11 MB
% 1.12/0.50 % (288989)Instructions burned: 39 (million)
% 1.12/0.50 % (289004)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2920370730:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.12/0.50 % (289009)Instruction limit reached!
% 1.12/0.50 % (289009)------------------------------
% 1.12/0.50 % (289009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.50 % (289009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (289009)CaDiCaL version: 2.1.3
% 1.83/0.57 % (289009)Termination reason: Instruction limit
% 1.83/0.57 % (289009)Termination phase: shuffling
% 1.83/0.57 % (289009)Time elapsed: 0.004 s
% 1.83/0.57 % (289006)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2458913707:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.83/0.57 % (289009)Peak memory usage: 10 MB
% 1.83/0.57 % (289009)Instructions burned: 16 (million)
% 1.83/0.57 % (289010)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2664758187:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.83/0.57 % (289018)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=756352757:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.83/0.57 % (289006)Instruction limit reached!
% 1.83/0.57 % (289006)------------------------------
% 1.83/0.57 % (289006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.57 % (289006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (289006)CaDiCaL version: 2.1.3
% 1.83/0.57 % (289006)Termination reason: Instruction limit
% 1.83/0.57 % (289006)Termination phase: Property scanning
% 1.83/0.57 % (289006)Time elapsed: 0.013 s
% 1.83/0.57 % (289006)Peak memory usage: 11 MB
% 1.83/0.57 % (289006)Instructions burned: 27 (million)
% 1.83/0.57 % (289012)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3186013670:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.83/0.57 % (289014)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=360623694:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.83/0.57 % (289018)Instruction limit reached!
% 1.83/0.57 % (289018)------------------------------
% 1.83/0.57 % (289018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.57 % (289018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (289018)CaDiCaL version: 2.1.3
% 1.83/0.57 % (289018)Termination reason: Instruction limit
% 1.83/0.57 % (289018)Termination phase: shuffling
% 1.83/0.57 % (289018)Time elapsed: 0.008 s
% 1.83/0.57 % (289018)Peak memory usage: 10 MB
% 1.83/0.57 % (289018)Instructions burned: 34 (million)
% 1.83/0.57 % (289014)Instruction limit reached!
% 1.83/0.57 % (289014)------------------------------
% 1.83/0.57 % (289014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.57 % (289014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (289014)CaDiCaL version: 2.1.3
% 1.83/0.57 % (289014)Termination reason: Instruction limit
% 1.83/0.57 % (289014)Termination phase: shuffling
% 1.83/0.57 % (289014)Time elapsed: 0.003 s
% 1.83/0.57 % (289014)Peak memory usage: 10 MB
% 1.83/0.57 % (289014)Instructions burned: 6 (million)
% 1.83/0.57 % (289012)Instruction limit reached!
% 1.83/0.57 % (289012)------------------------------
% 1.83/0.57 % (289012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.57 % (289012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (289012)CaDiCaL version: 2.1.3
% 1.83/0.57 % (289012)Termination reason: Instruction limit
% 1.83/0.57 % (289012)Termination phase: shuffling
% 1.83/0.57 % (289012)Time elapsed: 0.008 s
% 1.83/0.57 % (289012)Peak memory usage: 10 MB
% 1.83/0.57 % (289012)Instructions burned: 16 (million)
% 1.83/0.57 % (289028)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4286429891:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.83/0.57 % (289024)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3974722088:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.83/0.57 % (289030)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.83/0.57 % (289029)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.83/0.57 % (289029)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.83/0.57 % (289030)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=449282178:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.83/0.60 % (289029)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2669314323:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.83/0.60 % (289024)Instruction limit reached!
% 1.83/0.60 % (289024)------------------------------
% 1.83/0.60 % (289024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289024)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289024)Termination reason: Instruction limit
% 1.83/0.60 % (289024)Termination phase: Property scanning
% 1.83/0.60 % (289024)Time elapsed: 0.012 s
% 1.83/0.60 % (289024)Peak memory usage: 10 MB
% 1.83/0.60 % (289024)Instructions burned: 25 (million)
% 1.83/0.60 % (289028)Instruction limit reached!
% 1.83/0.60 % (289028)------------------------------
% 1.83/0.60 % (289028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289028)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289028)Termination reason: Instruction limit
% 1.83/0.60 % (289028)Termination phase: Property scanning
% 1.83/0.60 % (289028)Time elapsed: 0.016 s
% 1.83/0.60 % (289028)Peak memory usage: 12 MB
% 1.83/0.60 % (289028)Instructions burned: 63 (million)
% 1.83/0.60 % (289030)Instruction limit reached!
% 1.83/0.60 % (289030)------------------------------
% 1.83/0.60 % (289030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289030)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289030)Termination reason: Instruction limit
% 1.83/0.60 % (289030)Termination phase: shuffling
% 1.83/0.60 % (289030)Time elapsed: 0.005 s
% 1.83/0.60 % (289030)Peak memory usage: 10 MB
% 1.83/0.60 % (289030)Instructions burned: 9 (million)
% 1.83/0.60 % (289029)Instruction limit reached!
% 1.83/0.60 % (289029)------------------------------
% 1.83/0.60 % (289029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289029)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289029)Termination reason: Instruction limit
% 1.83/0.60 % (289029)Termination phase: shuffling
% 1.83/0.60 % (289029)Time elapsed: 0.007 s
% 1.83/0.60 % (289029)Peak memory usage: 10 MB
% 1.83/0.60 % (289029)Instructions burned: 15 (million)
% 1.83/0.60 % (289046)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2378784381:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.83/0.60 % (289046)Instruction limit reached!
% 1.83/0.60 % (289046)------------------------------
% 1.83/0.60 % (289046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289046)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289046)Termination reason: Instruction limit
% 1.83/0.60 % (289046)Termination phase: shuffling
% 1.83/0.60 % (289046)Time elapsed: 0.002 s
% 1.83/0.60 % (289046)Peak memory usage: 10 MB
% 1.83/0.60 % (289046)Instructions burned: 7 (million)
% 1.83/0.60 % (289045)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1055863633:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.83/0.60 % (289047)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=974037277:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.83/0.60 % (289051)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2088091362:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.83/0.60 % (289053)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2104034813:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.83/0.60 % (289047)Instruction limit reached!
% 1.83/0.60 % (289047)------------------------------
% 1.83/0.60 % (289047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289047)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289047)Termination reason: Instruction limit
% 1.83/0.60 % (289047)Termination phase: shuffling
% 1.83/0.60 % (289047)Time elapsed: 0.011 s
% 1.83/0.60 % (289047)Peak memory usage: 11 MB
% 1.83/0.60 % (289047)Instructions burned: 25 (million)
% 1.83/0.60 % (289051)Instruction limit reached!
% 1.83/0.60 % (289051)------------------------------
% 1.83/0.60 % (289051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289051)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289051)Termination reason: Instruction limit
% 1.83/0.60 % (289051)Termination phase: shuffling
% 1.83/0.60 % (289051)Time elapsed: 0.009 s
% 1.83/0.60 % (289051)Peak memory usage: 10 MB
% 1.83/0.60 % (289051)Instructions burned: 20 (million)
% 1.83/0.60 % (289045)Instruction limit reached!
% 1.83/0.60 % (289045)------------------------------
% 1.83/0.60 % (289045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289045)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289045)Termination reason: Instruction limit
% 1.83/0.60 % (289045)Termination phase: shuffling
% 1.83/0.60 % (289045)Time elapsed: 0.015 s
% 1.83/0.60 % (289045)Peak memory usage: 11 MB
% 1.83/0.60 % (289045)Instructions burned: 33 (million)
% 1.83/0.60 % (289063)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=797766792:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.83/0.60 % (289064)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4131247654:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.83/0.60 % (289067)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=571521509:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.83/0.60 % (289067)Instruction limit reached!
% 1.83/0.60 % (289067)------------------------------
% 1.83/0.60 % (289067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289067)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289067)Termination reason: Instruction limit
% 1.83/0.60 % (289067)Termination phase: Preprocessing 2
% 1.83/0.60 % (289067)Time elapsed: 0.021 s
% 1.83/0.60 % (289067)Peak memory usage: 11 MB
% 1.83/0.60 % (289067)Instructions burned: 42 (million)
% 1.83/0.60 % (289004)Instruction limit reached!
% 1.83/0.60 % (289004)------------------------------
% 1.83/0.60 % (289004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289004)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289004)Termination reason: Instruction limit
% 1.83/0.60 % (289004)Termination phase: Saturation
% 1.83/0.60 % (289004)Time elapsed: 0.122 s
% 1.83/0.60 % (289004)Peak memory usage: 13 MB
% 1.83/0.60 % (289004)Instructions burned: 250 (million)
% 1.83/0.60 % (289098)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.83/0.60 % (289098)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3845308544:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.83/0.60 % (289099)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2332628368:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.83/0.60 % (289098)Instruction limit reached!
% 1.83/0.60 % (289098)------------------------------
% 1.83/0.60 % (289098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289098)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289098)Termination reason: Instruction limit
% 1.83/0.60 % (289098)Termination phase: shuffling
% 1.83/0.60 % (289098)Time elapsed: 0.004 s
% 1.83/0.60 % (289098)Peak memory usage: 10 MB
% 1.83/0.60 % (289098)Instructions burned: 8 (million)
% 1.83/0.60 % (289010)Instruction limit reached!
% 1.83/0.60 % (289010)------------------------------
% 1.83/0.60 % (289010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289010)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289010)Termination reason: Instruction limit
% 1.83/0.60 % (289010)Termination phase: Saturation
% 1.83/0.60 % (289010)Time elapsed: 0.143 s
% 1.83/0.60 % (289010)Peak memory usage: 15 MB
% 1.83/0.60 % (289010)Instructions burned: 327 (million)
% 1.83/0.60 % (289063)Instruction limit reached!
% 1.83/0.60 % (289063)------------------------------
% 1.83/0.60 % (289063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289063)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289063)Termination reason: Instruction limit
% 1.83/0.60 % (289063)Termination phase: Property scanning
% 1.83/0.60 % (289063)Time elapsed: 0.063 s
% 1.83/0.60 % (289063)Peak memory usage: 13 MB
% 1.83/0.60 % (289063)Instructions burned: 144 (million)
% 1.83/0.60 % (289111)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.83/0.60 % (289109)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=528389047:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.83/0.60 % (289111)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2604240317:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.83/0.60 % (289111)Instruction limit reached!
% 1.83/0.60 % (289111)------------------------------
% 1.83/0.60 % (289111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60 % (289111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60 % (289111)CaDiCaL version: 2.1.3
% 1.83/0.60 % (289111)Termination reason: Instruction limit
% 1.83/0.60 % (289111)Termination phase: shuffling
% 1.83/0.60 % (289111)Time elapsed: 0.004 s
% 1.83/0.60 % (289111)Peak memory usage: 10 MB
% 1.83/0.60 % (289111)Instructions burned: 8 (million)
% 1.83/0.60 % (289099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-288918-289099"...
% 1.83/0.60 % (289099)...printing done.
% 1.83/0.60 % (289099)Refutation found. Thanks to Tanya!
% 1.83/0.60 % SZS status Theorem for theBenchmark
% 1.83/0.60 % SZS output start Proof for theBenchmark
% 1.83/0.60 thf(type_def_5, type, view_ext: $tType > $tType).
% 1.83/0.60 thf(type_def_6, type, product_unit: $tType).
% 1.83/0.60 thf(type_def_7, type, real_int: $tType).
% 1.83/0.60 thf(type_def_8, type, traffic: $tType).
% 1.83/0.60 thf(type_def_9, type, nat_int: $tType).
% 1.83/0.60 thf(type_def_10, type, real: $tType).
% 1.83/0.60 thf(type_def_11, type, cars: $tType).
% 1.83/0.60 thf(type_def_12, type, nat: $tType).
% 1.83/0.60 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 1.83/0.60 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_1, type, minus: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_6, type, no_bot: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_7, type, no_top: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_8, type, linorder: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_9, type, preorder: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_10, type, order_bot: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_11, type, wellorder: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_12, type, dense_order: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_13, type, dense_linorder: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_14, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_15, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 1.83/0.60 thf(func_def_16, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 1.83/0.60 thf(func_def_17, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.83/0.60 thf(func_def_18, type, default_default: !>[X0: $tType]:(X0)).
% 1.83/0.60 thf(func_def_19, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.83/0.60 thf(func_def_20, type, move: (traffic > traffic > view_ext @ product_unit > view_ext @ product_unit)).
% 1.83/0.60 thf(func_def_21, type, nat_N_Chop: (nat_int > nat_int > nat_int > $o)).
% 1.83/0.60 thf(func_def_22, type, nat_card: (nat_int > nat)).
% 1.83/0.60 thf(func_def_23, type, nat_consec: (nat_int > nat_int > $o)).
% 1.83/0.60 thf(func_def_24, type, nat_not_in: (nat > nat_int > $o)).
% 1.83/0.60 thf(func_def_25, type, nat_union: (nat_int > nat_int > nat_int)).
% 1.83/0.60 thf(func_def_26, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.83/0.60 thf(func_def_27, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.83/0.60 thf(func_def_28, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.83/0.60 thf(func_def_29, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.83/0.60 thf(func_def_30, type, product_Unity: product_unit).
% 1.83/0.60 thf(func_def_31, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 1.83/0.60 thf(func_def_32, type, real_R_Chop: (real_int > real_int > real_int > $o)).
% 1.83/0.60 thf(func_def_33, type, real_shift: (real_int > real > real_int)).
% 1.83/0.60 thf(func_def_34, type, abstract: (traffic > traffic > $o)).
% 1.83/0.60 thf(func_def_35, type, braking_distance: (traffic > cars > real)).
% 1.83/0.60 thf(func_def_36, type, change_dyn: (traffic > cars > (real > real) > traffic > $o)).
% 1.83/0.60 thf(func_def_37, type, clm: (traffic > cars > nat_int)).
% 1.83/0.60 thf(func_def_38, type, create_claim: (traffic > cars > nat > traffic > $o)).
% 1.83/0.60 thf(func_def_39, type, create_reservation: (traffic > cars > traffic > $o)).
% 1.83/0.60 thf(func_def_40, type, dyn: (traffic > cars > real > real)).
% 1.83/0.60 thf(func_def_41, type, evolve: (traffic > traffic > $o)).
% 1.83/0.60 thf(func_def_42, type, physical_size: (traffic > cars > real)).
% 1.83/0.60 thf(func_def_43, type, pos: (traffic > cars > real)).
% 1.83/0.60 thf(func_def_44, type, res: (traffic > cars > nat_int)).
% 1.83/0.60 thf(func_def_45, type, withdraw_claim: (traffic > cars > traffic > $o)).
% 1.83/0.60 thf(func_def_46, type, withdraw_reservation: (traffic > cars > nat > traffic > $o)).
% 1.83/0.60 thf(func_def_47, type, ext: !>[X0: $tType]:((view_ext @ X0 > real_int))).
% 1.83/0.60 thf(func_def_48, type, hchop: (view_ext @ product_unit > view_ext @ product_unit > view_ext @ product_unit > $o)).
% 1.83/0.60 thf(func_def_49, type, lan: !>[X0: $tType]:((view_ext @ X0 > nat_int))).
% 1.83/0.60 thf(func_def_50, type, more: !>[X0: $tType]:((view_ext @ X0 > X0))).
% 1.83/0.60 thf(func_def_51, type, own: !>[X0: $tType]:((view_ext @ X0 > cars))).
% 1.83/0.60 thf(func_def_52, type, switch: (view_ext @ product_unit > cars > view_ext @ product_unit > $o)).
% 1.83/0.60 thf(func_def_53, type, view_ext2: !>[X0: $tType]:((real_int > nat_int > cars > X0 > view_ext @ X0))).
% 1.83/0.60 thf(func_def_54, type, ts: traffic).
% 1.83/0.60 thf(func_def_55, type, ts2: traffic).
% 1.83/0.60 thf(func_def_56, type, ts_a: traffic).
% 1.83/0.60 thf(func_def_57, type, ts3: traffic).
% 1.83/0.60 thf(func_def_58, type, v: view_ext @ product_unit).
% 1.83/0.60 thf(func_def_62, type, vOR: ($o > $o > $o)).
% 1.83/0.60 thf(func_def_63, type, db1: !>[X0: $tType]:(X0)).
% 1.83/0.60 thf(func_def_64, type, db0: !>[X0: $tType]:(X0)).
% 1.83/0.60 thf(func_def_65, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.83/0.60 thf(func_def_66, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.83/0.60 thf(func_def_67, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.83/0.60 thf(func_def_68, type, vAND: ($o > $o > $o)).
% 1.83/0.60 thf(func_def_69, type, vNOT: ($o > $o)).
% 1.83/0.60 thf(func_def_70, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.83/0.60 thf(func_def_71, type, vIMP: ($o > $o > $o)).
% 1.83/0.60 thf(func_def_72, type, db2: !>[X0: $tType]:(X0)).
% 1.83/0.60 thf(func_def_73, type, db3: !>[X0: $tType]:(X0)).
% 1.83/0.60 thf(func_def_74, type, sK0: (view_ext @ product_unit > (traffic > view_ext @ product_unit > $o) > traffic > traffic)).
% 1.83/0.60 thf(func_def_75, type, sK1: cars).
% 1.83/0.60 thf(func_def_76, type, sK2: (traffic > (traffic > view_ext @ product_unit > $o) > view_ext @ product_unit > traffic)).
% 1.83/0.60 thf(func_def_77, type, sK3: (traffic > cars > traffic)).
% 1.83/0.60 thf(func_def_78, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.83/0.60 thf(f1,axiom,(
% 1.83/0.60 (abstract @ ts3 @ ts_a)),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cr__res_Ohyps_I1_J)).
% 1.83/0.60 thf(f2,axiom,(
% 1.83/0.60 ? [X0 : cars] : (create_reservation @ ts_a @ X0 @ ts)),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cr__res_Ohyps_I2_J)).
% 1.83/0.60 thf(f11,axiom,(
% 1.83/0.60 ! [X2 : traffic,X3 : view_ext @ product_unit,X0 : traffic,X1 : cars] : ((create_reservation @ X0 @ X1 @ X2) => (((move @ X0 @ X2 @ X3)) = X3))),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_traffic_Omove__stability__res)).
% 1.83/0.60 thf(f13,axiom,(
% 1.83/0.60 ! [X2 : traffic,X0 : traffic,X1 : traffic,X3 : view_ext @ product_unit] : (((abstract @ X1 @ X2) & (abstract @ X0 @ X1)) => (((move @ X1 @ X2 @ (move @ X0 @ X1 @ X3))) = ((move @ X0 @ X2 @ X3))))),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_traffic_Omove__trans)).
% 1.83/0.60 thf(f33,axiom,(
% 1.83/0.60 ! [X1 : traffic,X0 : traffic,X2 : traffic] : ((abstract @ X0 @ X1) => (? [X3 : cars] : (create_reservation @ X1 @ X3 @ X2) => (abstract @ X0 @ X2)))),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_traffic_Ocr__res)).
% 1.83/0.60 thf(f42,axiom,(
% 1.83/0.60 ! [X0 : traffic] : (abstract @ X0 @ X0)),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_traffic_Oabstract_Orefl)).
% 1.83/0.60 thf(f314,conjecture,(
% 1.83/0.60 (((move @ ts3 @ ts_a @ v)) = ((move @ ts3 @ ts @ v)))),
% 1.83/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.83/0.60 thf(f315,negated_conjecture,(
% 1.83/0.60 ~ (((move @ ts3 @ ts_a @ v)) = ((move @ ts3 @ ts @ v)))),
% 1.83/0.60 inference(negated_conjecture,[status(cth)],[f314])).
% 1.83/0.60 thf(f407,plain,(
% 1.83/0.60 ? [X0 : cars] : (create_reservation @ ts_a @ X0 @ ts)),
% 1.83/0.60 inference(rectify,[],[f2])).
% 1.83/0.60 thf(f408,plain,(
% 1.83/0.60 ? [X0 : cars] : (((create_reservation @ ts_a @ X0 @ ts)) = $true)),
% 1.83/0.60 inference(fool_elimination,[],[f407])).
% 1.83/0.61 thf(f599,plain,(
% 1.83/0.61 ! [X0 : traffic,X1 : traffic,X2 : traffic,X3 : view_ext @ product_unit] : (((abstract @ X2 @ X0) & (abstract @ X1 @ X2)) => (((move @ X2 @ X0 @ (move @ X1 @ X2 @ X3))) = ((move @ X1 @ X0 @ X3))))),
% 1.83/0.61 inference(rectify,[],[f13])).
% 1.83/0.61 thf(f600,plain,(
% 1.83/0.61 ! [X3 : view_ext @ product_unit,X0 : traffic,X2 : traffic,X1 : traffic] : (((((abstract @ X1 @ X2)) = $true) & (((abstract @ X2 @ X0)) = $true)) => (((move @ X2 @ X0 @ (move @ X1 @ X2 @ X3))) = ((move @ X1 @ X0 @ X3))))),
% 1.83/0.61 inference(fool_elimination,[],[f599])).
% 1.83/0.61 thf(f639,plain,(
% 1.83/0.61 ! [X0 : traffic] : (abstract @ X0 @ X0)),
% 1.83/0.61 inference(rectify,[],[f42])).
% 1.83/0.61 thf(f640,plain,(
% 1.83/0.61 ! [X0 : traffic] : (((abstract @ X0 @ X0)) = $true)),
% 1.83/0.61 inference(fool_elimination,[],[f639])).
% 1.83/0.61 thf(f681,plain,(
% 1.83/0.61 (abstract @ ts3 @ ts_a)),
% 1.83/0.61 inference(rectify,[],[f1])).
% 1.83/0.61 thf(f682,plain,(
% 1.83/0.61 (((abstract @ ts3 @ ts_a)) = $true)),
% 1.83/0.61 inference(fool_elimination,[],[f681])).
% 1.83/0.61 thf(f724,plain,(
% 1.83/0.61 ! [X0 : traffic,X1 : view_ext @ product_unit,X2 : traffic,X3 : cars] : ((create_reservation @ X2 @ X3 @ X0) => (((move @ X2 @ X0 @ X1)) = X1))),
% 1.83/0.61 inference(rectify,[],[f11])).
% 1.83/0.61 thf(f725,plain,(
% 1.83/0.61 ! [X2 : traffic,X0 : traffic,X3 : cars,X1 : view_ext @ product_unit] : ((((create_reservation @ X2 @ X3 @ X0)) = $true) => (((move @ X2 @ X0 @ X1)) = X1))),
% 1.83/0.61 inference(fool_elimination,[],[f724])).
% 1.83/0.61 thf(f859,plain,(
% 1.83/0.61 ! [X0 : traffic,X1 : traffic,X2 : traffic] : ((abstract @ X1 @ X0) => (? [X3 : cars] : (create_reservation @ X0 @ X3 @ X2) => (abstract @ X1 @ X2)))),
% 1.83/0.61 inference(rectify,[],[f33])).
% 1.83/0.61 thf(f860,plain,(
% 1.83/0.61 ! [X1 : traffic,X0 : traffic,X2 : traffic] : (($true = ((abstract @ X1 @ X0))) => (? [X3 : cars] : (((create_reservation @ X0 @ X3 @ X2)) = $true) => (((abstract @ X1 @ X2)) = $true)))),
% 1.83/0.61 inference(fool_elimination,[],[f859])).
% 1.83/0.61 thf(f887,plain,(
% 1.83/0.61 (((move @ ts3 @ ts_a @ v)) != ((move @ ts3 @ ts @ v)))),
% 1.83/0.61 inference(flattening,[],[f315])).
% 1.83/0.61 thf(f890,plain,(
% 1.83/0.61 ! [X1 : traffic,X0 : traffic,X2 : traffic] : (((((abstract @ X1 @ X2)) = $true) | ! [X3 : cars] : (((create_reservation @ X0 @ X3 @ X2)) != $true)) | ($true != ((abstract @ X1 @ X0))))),
% 1.83/0.61 inference(ennf_transformation,[],[f860])).
% 1.83/0.61 thf(f891,plain,(
% 1.83/0.61 ! [X0 : traffic,X2 : traffic,X1 : traffic] : (($true != ((abstract @ X1 @ X0))) | (((abstract @ X1 @ X2)) = $true) | ! [X3 : cars] : (((create_reservation @ X0 @ X3 @ X2)) != $true))),
% 1.83/0.61 inference(flattening,[],[f890])).
% 1.83/0.61 thf(f896,plain,(
% 1.83/0.61 ! [X3 : view_ext @ product_unit,X0 : traffic,X2 : traffic,X1 : traffic] : ((((move @ X2 @ X0 @ (move @ X1 @ X2 @ X3))) = ((move @ X1 @ X0 @ X3))) | ((((abstract @ X1 @ X2)) != $true) | (((abstract @ X2 @ X0)) != $true)))),
% 1.83/0.61 inference(ennf_transformation,[],[f600])).
% 1.83/0.61 thf(f897,plain,(
% 1.83/0.61 ! [X0 : traffic,X3 : view_ext @ product_unit,X2 : traffic,X1 : traffic] : ((((move @ X2 @ X0 @ (move @ X1 @ X2 @ X3))) = ((move @ X1 @ X0 @ X3))) | (((abstract @ X2 @ X0)) != $true) | (((abstract @ X1 @ X2)) != $true))),
% 1.83/0.61 inference(flattening,[],[f896])).
% 1.83/0.61 thf(f898,plain,(
% 1.83/0.61 ! [X2 : traffic,X1 : view_ext @ product_unit,X0 : traffic,X3 : cars] : ((((move @ X2 @ X0 @ X1)) = X1) | (((create_reservation @ X2 @ X3 @ X0)) != $true))),
% 1.83/0.61 inference(ennf_transformation,[],[f725])).
% 1.83/0.61 thf(f903,plain,(
% 1.83/0.61 ! [X0 : traffic,X1 : traffic,X2 : traffic] : ((((abstract @ X2 @ X0)) != $true) | (((abstract @ X2 @ X1)) = $true) | ! [X3 : cars] : ($true != ((create_reservation @ X0 @ X3 @ X1))))),
% 1.83/0.61 inference(rectify,[],[f891])).
% 1.83/0.61 thf(f904,plain,(
% 1.83/0.61 (((create_reservation @ ts_a @ sK1 @ ts)) = $true)),
% 1.83/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f408])).
% 1.83/0.61 thf(f909,plain,(
% 1.83/0.61 ! [X0 : traffic,X1 : view_ext @ product_unit,X2 : traffic,X3 : traffic] : ((((move @ X2 @ X0 @ (move @ X3 @ X2 @ X1))) = ((move @ X3 @ X0 @ X1))) | (((abstract @ X2 @ X0)) != $true) | (((abstract @ X3 @ X2)) != $true))),
% 1.83/0.61 inference(rectify,[],[f897])).
% 1.83/0.61 thf(f910,plain,(
% 1.83/0.61 ! [X0 : traffic,X1 : view_ext @ product_unit,X2 : traffic,X3 : cars] : ((((move @ X0 @ X2 @ X1)) = X1) | (((create_reservation @ X0 @ X3 @ X2)) != $true))),
% 1.83/0.61 inference(rectify,[],[f898])).
% 1.83/0.61 thf(f916,plain,(
% 1.83/0.61 ( ! [X2 : traffic,X3 : cars,X0 : traffic,X1 : traffic] : (($true != ((create_reservation @ X0 @ X3 @ X1))) | (((abstract @ X2 @ X1)) = $true) | (((abstract @ X2 @ X0)) != $true)) )),
% 1.83/0.61 inference(cnf_transformation,[],[f903])).
% 1.83/0.61 thf(f918,plain,(
% 1.83/0.61 (((move @ ts3 @ ts_a @ v)) != ((move @ ts3 @ ts @ v)))),
% 1.83/0.61 inference(cnf_transformation,[],[f887])).
% 1.83/0.61 thf(f919,plain,(
% 1.83/0.61 (((create_reservation @ ts_a @ sK1 @ ts)) = $true)),
% 1.83/0.61 inference(cnf_transformation,[],[f904])).
% 1.83/0.61 thf(f923,plain,(
% 1.83/0.61 ( ! [X0 : traffic] : ((((abstract @ X0 @ X0)) = $true)) )),
% 1.83/0.61 inference(cnf_transformation,[],[f640])).
% 1.83/0.61 thf(f925,plain,(
% 1.83/0.61 (((abstract @ ts3 @ ts_a)) = $true)),
% 1.83/0.61 inference(cnf_transformation,[],[f682])).
% 1.83/0.61 thf(f926,plain,(
% 1.83/0.61 ( ! [X2 : traffic,X3 : traffic,X0 : traffic,X1 : view_ext @ product_unit] : ((((abstract @ X3 @ X2)) != $true) | (((move @ X2 @ X0 @ (move @ X3 @ X2 @ X1))) = ((move @ X3 @ X0 @ X1))) | (((abstract @ X2 @ X0)) != $true)) )),
% 1.83/0.61 inference(cnf_transformation,[],[f909])).
% 1.83/0.61 thf(f927,plain,(
% 1.83/0.61 ( ! [X2 : traffic,X3 : cars,X0 : traffic,X1 : view_ext @ product_unit] : ((((create_reservation @ X0 @ X3 @ X2)) != $true) | (((move @ X0 @ X2 @ X1)) = X1)) )),
% 1.83/0.61 inference(cnf_transformation,[],[f910])).
% 1.83/0.61 thf(f948,plain,(
% 1.83/0.61 ($true = ((abstract @ ts_a @ ts)))),
% 1.83/0.61 inference(unit_resulting_resolution,[],[f916,f923,f919])).
% 1.83/0.61 thf(f964,plain,(
% 1.83/0.61 ( ! [X0 : view_ext @ product_unit] : ((((move @ ts_a @ ts @ X0)) = X0)) )),
% 1.83/0.61 inference(unit_resulting_resolution,[],[f927,f919])).
% 1.83/0.61 thf(f1009,plain,(
% 1.83/0.61 ( ! [X0 : view_ext @ product_unit] : ((((move @ ts_a @ ts @ (move @ ts3 @ ts_a @ X0))) = ((move @ ts3 @ ts @ X0)))) )),
% 1.83/0.61 inference(unit_resulting_resolution,[],[f926,f948,f925])).
% 1.83/0.61 thf(f1043,plain,(
% 1.83/0.61 ( ! [X0 : view_ext @ product_unit] : ((((move @ ts3 @ ts @ X0)) = ((move @ ts3 @ ts_a @ X0)))) )),
% 1.83/0.61 inference(forward_demodulation,[],[f1009,f964])).
% 1.83/0.61 thf(f1053,plain,(
% 1.83/0.61 (((move @ ts3 @ ts @ v)) != ((move @ ts3 @ ts @ v)))),
% 1.83/0.61 inference(backward_demodulation,[],[f918,f1043])).
% 1.83/0.61 thf(f1054,plain,(
% 1.83/0.61 $false),
% 1.83/0.61 inference(trivial_inequality_removal,[],[f1053])).
% 1.83/0.61 % SZS output end Proof for theBenchmark
% 1.83/0.61 % (289099)------------------------------
% 1.83/0.61 % (289099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (289099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.61 % (289099)CaDiCaL version: 2.1.3
% 1.83/0.61 % (289099)Termination reason: Refutation
% 1.83/0.61 % (289099)Time elapsed: 0.033 s
% 1.83/0.61 % (289099)Peak memory usage: 14 MB
% 1.83/0.61 % (289099)Instructions burned: 61 (million)
% 1.83/0.61 % (288918)Success in time 0.314 s
% 1.83/0.61 % Vampire exiting
%------------------------------------------------------------------------------