%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:40:17 AM UTC 2026
% Result : Theorem 1.86s 0.68s
% Output : Refutation 1.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:05:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.32 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
% 0.84/0.56 % (4185972)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.84/0.56 % (4185980)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=56818560: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)
% 0.84/0.56 % (4185979)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2079234930:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.84/0.56 % (4185978)lrs+10_16_si=on:nwc=1.5:random_seed=2515548925:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.84/0.56 % (4185979)Instruction limit reached!
% 0.84/0.56 % (4185979)------------------------------
% 0.84/0.56 % (4185979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.56 % (4185979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.56 % (4185979)CaDiCaL version: 2.1.3
% 0.84/0.56 % (4185979)Termination reason: Instruction limit
% 0.84/0.56 % (4185979)Termination phase: shuffling
% 0.84/0.56 % (4185979)Time elapsed: 0.003 s
% 0.84/0.56 % (4185979)Peak memory usage: 11 MB
% 0.84/0.56 % (4185979)Instructions burned: 3 (million)
% 0.84/0.56 % (4185977)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3533598789:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.84/0.56 % (4185983)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.84/0.56 % (4185983)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
% 0.84/0.56 % (4185981)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2028786248:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.84/0.56 % (4185978)Instruction limit reached!
% 0.84/0.56 % (4185978)------------------------------
% 0.84/0.56 % (4185978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.56 % (4185978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.56 % (4185978)CaDiCaL version: 2.1.3
% 0.84/0.56 % (4185978)Termination reason: Instruction limit
% 0.84/0.56 % (4185978)Termination phase: shuffling
% 0.84/0.56 % (4185978)Time elapsed: 0.013 s
% 0.84/0.56 % (4185978)Peak memory usage: 11 MB
% 0.84/0.56 % (4185978)Instructions burned: 19 (million)
% 0.84/0.56 % (4185982)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3328107120:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.84/0.56 % (4185983)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=1665810447:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.84/0.56 % (4185988)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3489345311:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.56 % (4185988)Instruction limit reached!
% 0.84/0.56 % (4185988)------------------------------
% 0.84/0.56 % (4185988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.56 % (4185988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.56 % (4185988)CaDiCaL version: 2.1.3
% 0.84/0.56 % (4185988)Termination reason: Instruction limit
% 0.84/0.56 % (4185988)Termination phase: shuffling
% 0.84/0.56 % (4185988)Time elapsed: 0.003 s
% 0.84/0.56 % (4185988)Peak memory usage: 11 MB
% 0.84/0.56 % (4185988)Instructions burned: 4 (million)
% 0.84/0.56 % (4185981)Instruction limit reached!
% 0.84/0.56 % (4185981)------------------------------
% 0.84/0.56 % (4185981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.56 % (4185981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.56 % (4185981)CaDiCaL version: 2.1.3
% 0.84/0.56 % (4185981)Termination reason: Instruction limit
% 0.84/0.56 % (4185981)Termination phase: shuffling
% 0.84/0.56 % (4185981)Time elapsed: 0.022 s
% 0.84/0.56 % (4185981)Peak memory usage: 11 MB
% 0.84/0.56 % (4185981)Instructions burned: 24 (million)
% 0.84/0.56 % (4185994)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=408390593:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.56/0.60 % (4185994)Instruction limit reached!
% 1.56/0.60 % (4185994)------------------------------
% 1.56/0.60 % (4185994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60 % (4185994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60 % (4185994)CaDiCaL version: 2.1.3
% 1.56/0.60 % (4185994)Termination reason: Instruction limit
% 1.56/0.60 % (4185994)Termination phase: shuffling
% 1.56/0.60 % (4185994)Time elapsed: 0.004 s
% 1.56/0.60 % (4185994)Peak memory usage: 11 MB
% 1.56/0.60 % (4185994)Instructions burned: 6 (million)
% 1.56/0.60 % (4185996)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.56/0.60 % (4185997)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1884531847:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.56/0.60 % (4185996)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=911892069:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.56/0.60 % (4186000)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
% 1.56/0.60 % (4186000)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.56/0.60 % (4185982)Instruction limit reached!
% 1.56/0.60 % (4185982)------------------------------
% 1.56/0.60 % (4185982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60 % (4185982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60 % (4185982)CaDiCaL version: 2.1.3
% 1.56/0.60 % (4185982)Termination reason: Instruction limit
% 1.56/0.60 % (4185982)Termination phase: shuffling
% 1.56/0.60 % (4185982)Time elapsed: 0.062 s
% 1.56/0.60 % (4185982)Peak memory usage: 12 MB
% 1.56/0.60 % (4185982)Instructions burned: 76 (million)
% 1.56/0.60 % (4185996)Instruction limit reached!
% 1.56/0.60 % (4185996)------------------------------
% 1.56/0.60 % (4185996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60 % (4185996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60 % (4185996)CaDiCaL version: 2.1.3
% 1.56/0.60 % (4185996)Termination reason: Instruction limit
% 1.56/0.60 % (4185996)Termination phase: shuffling
% 1.56/0.60 % (4185996)Time elapsed: 0.008 s
% 1.56/0.60 % (4185996)Peak memory usage: 11 MB
% 1.56/0.60 % (4185996)Instructions burned: 8 (million)
% 1.56/0.60 % (4186000)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2585328070:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.56/0.60 % (4185997)Instruction limit reached!
% 1.56/0.60 % (4185997)------------------------------
% 1.56/0.60 % (4185997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60 % (4185997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60 % (4185997)CaDiCaL version: 2.1.3
% 1.56/0.60 % (4185997)Termination reason: Instruction limit
% 1.56/0.60 % (4185997)Termination phase: shuffling
% 1.56/0.60 % (4185997)Time elapsed: 0.012 s
% 1.56/0.60 % (4185997)Peak memory usage: 11 MB
% 1.56/0.60 % (4185997)Instructions burned: 13 (million)
% 1.56/0.60 % (4185977)Instruction limit reached!
% 1.56/0.60 % (4185977)------------------------------
% 1.56/0.60 % (4185977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60 % (4185977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60 % (4185977)CaDiCaL version: 2.1.3
% 1.56/0.60 % (4185977)Termination reason: Instruction limit
% 1.56/0.60 % (4185977)Termination phase: shuffling
% 1.56/0.60 % (4185977)Time elapsed: 0.072 s
% 1.56/0.60 % (4185977)Peak memory usage: 12 MB
% 1.56/0.60 % (4185977)Instructions burned: 87 (million)
% 1.56/0.60 % (4186000)Instruction limit reached!
% 1.56/0.60 % (4186000)------------------------------
% 1.56/0.60 % (4186000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60 % (4186000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60 % (4186000)CaDiCaL version: 2.1.3
% 1.56/0.60 % (4186000)Termination reason: Instruction limit
% 1.56/0.60 % (4186000)Termination phase: shuffling
% 1.56/0.64 % (4186000)Time elapsed: 0.014 s
% 1.56/0.64 % (4186000)Peak memory usage: 12 MB
% 1.56/0.64 % (4186000)Instructions burned: 29 (million)
% 1.56/0.64 % (4186006)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.56/0.64 % (4186006)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=1320629090:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.56/0.64 % (4186008)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3645496134:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.56/0.64 % (4186007)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3845784824:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.56/0.64 % (4186006)Instruction limit reached!
% 1.56/0.64 % (4186006)------------------------------
% 1.56/0.64 % (4186006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.64 % (4186006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.64 % (4186006)CaDiCaL version: 2.1.3
% 1.56/0.64 % (4186006)Termination reason: Instruction limit
% 1.56/0.64 % (4186006)Termination phase: shuffling
% 1.56/0.64 % (4186006)Time elapsed: 0.003 s
% 1.56/0.64 % (4186006)Peak memory usage: 11 MB
% 1.56/0.64 % (4186006)Instructions burned: 4 (million)
% 1.56/0.64 % (4186004)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=2744112141:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.56/0.64 % (4186005)lrs+10_1_si=on:cs=on:random_seed=1981616326:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.56/0.64 % (4186005)Instruction limit reached!
% 1.56/0.64 % (4186005)------------------------------
% 1.56/0.64 % (4186005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.64 % (4186005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.64 % (4186005)CaDiCaL version: 2.1.3
% 1.56/0.64 % (4186005)Termination reason: Instruction limit
% 1.56/0.64 % (4186005)Termination phase: shuffling
% 1.56/0.64 % (4186005)Time elapsed: 0.008 s
% 1.56/0.64 % (4186005)Peak memory usage: 11 MB
% 1.56/0.64 % (4186005)Instructions burned: 8 (million)
% 1.56/0.64 % (4185983)Instruction limit reached!
% 1.56/0.64 % (4185983)------------------------------
% 1.56/0.64 % (4185983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.64 % (4185983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.64 % (4185983)CaDiCaL version: 2.1.3
% 1.56/0.64 % (4185983)Termination reason: Instruction limit
% 1.56/0.64 % (4185983)Termination phase: Preprocessing 1
% 1.56/0.64 % (4185983)Time elapsed: 0.124 s
% 1.56/0.64 % (4185983)Peak memory usage: 13 MB
% 1.56/0.64 % (4185983)Instructions burned: 157 (million)
% 1.56/0.64 % (4186007)Instruction limit reached!
% 1.56/0.64 % (4186007)------------------------------
% 1.56/0.64 % (4186007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.64 % (4186007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.64 % (4186007)CaDiCaL version: 2.1.3
% 1.56/0.65 % (4186007)Termination reason: Instruction limit
% 1.56/0.65 % (4186007)Termination phase: shuffling
% 1.56/0.65 % (4186007)Time elapsed: 0.032 s
% 1.56/0.65 % (4186007)Peak memory usage: 12 MB
% 1.56/0.65 % (4186007)Instructions burned: 38 (million)
% 1.56/0.65 % (4186012)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3489802284:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.56/0.65 % (4185980)Instruction limit reached!
% 1.56/0.65 % (4185980)------------------------------
% 1.56/0.65 % (4185980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.65 % (4185980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.65 % (4185980)CaDiCaL version: 2.1.3
% 1.56/0.65 % (4185980)Termination reason: Instruction limit
% 1.56/0.65 % (4185980)Termination phase: Saturation
% 1.56/0.65 % (4185980)Time elapsed: 0.166 s
% 1.56/0.65 % (4185980)Peak memory usage: 18 MB
% 1.56/0.65 % (4185980)Instructions burned: 636 (million)
% 1.56/0.65 % (4186019)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2506887293:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.86/0.67 % (4186019)Instruction limit reached!
% 1.86/0.67 % (4186019)------------------------------
% 1.86/0.67 % (4186019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.67 % (4186019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.67 % (4186019)CaDiCaL version: 2.1.3
% 1.86/0.67 % (4186019)Termination reason: Instruction limit
% 1.86/0.67 % (4186019)Termination phase: shuffling
% 1.86/0.67 % (4186019)Time elapsed: 0.002 s
% 1.86/0.67 % (4186019)Peak memory usage: 11 MB
% 1.86/0.67 % (4186019)Instructions burned: 6 (million)
% 1.86/0.67 % (4186016)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3068641175:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 1.86/0.67 % (4186015)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1294496613:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.86/0.67 % (4186021)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3302184210:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.86/0.68 % (4186012)Instruction limit reached!
% 1.86/0.68 % (4186012)------------------------------
% 1.86/0.68 % (4186012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186012)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186012)Termination reason: Instruction limit
% 1.86/0.68 % (4186012)Termination phase: shuffling
% 1.86/0.68 % (4186012)Time elapsed: 0.038 s
% 1.86/0.68 % (4186012)Peak memory usage: 11 MB
% 1.86/0.68 % (4186012)Instructions burned: 26 (million)
% 1.86/0.68 % (4186004)Instruction limit reached!
% 1.86/0.68 % (4186004)------------------------------
% 1.86/0.68 % (4186004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186004)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186004)Termination reason: Instruction limit
% 1.86/0.68 % (4186004)Termination phase: shuffling
% 1.86/0.68 % (4186004)Time elapsed: 0.073 s
% 1.86/0.68 % (4186004)Peak memory usage: 13 MB
% 1.86/0.68 % (4186004)Instructions burned: 87 (million)
% 1.86/0.68 % (4186021)Instruction limit reached!
% 1.86/0.68 % (4186021)------------------------------
% 1.86/0.68 % (4186021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186021)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186021)Termination reason: Instruction limit
% 1.86/0.68 % (4186021)Termination phase: shuffling
% 1.86/0.68 % (4186021)Time elapsed: 0.007 s
% 1.86/0.68 % (4186021)Peak memory usage: 12 MB
% 1.86/0.68 % (4186021)Instructions burned: 26 (million)
% 1.86/0.68 % (4186015)Instruction limit reached!
% 1.86/0.68 % (4186015)------------------------------
% 1.86/0.68 % (4186015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186015)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186015)Termination reason: Instruction limit
% 1.86/0.68 % (4186015)Termination phase: shuffling
% 1.86/0.68 % (4186015)Time elapsed: 0.014 s
% 1.86/0.68 % (4186015)Peak memory usage: 11 MB
% 1.86/0.68 % (4186015)Instructions burned: 14 (million)
% 1.86/0.68 % (4186017)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1019060116:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.86/0.68 % (4186028)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.86/0.68 % (4186028)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=1105316665:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.86/0.68 % (4186027)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
% 1.86/0.68 % (4186027)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.86/0.68 % (4186028)Instruction limit reached!
% 1.86/0.68 % (4186028)------------------------------
% 1.86/0.68 % (4186028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186028)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186028)Termination reason: Instruction limit
% 1.86/0.68 % (4186028)Termination phase: shuffling
% 1.86/0.68 % (4186028)Time elapsed: 0.003 s
% 1.86/0.68 % (4186028)Peak memory usage: 11 MB
% 1.86/0.68 % (4186028)Instructions burned: 10 (million)
% 1.86/0.68 % (4186017)Instruction limit reached!
% 1.86/0.68 % (4186017)------------------------------
% 1.86/0.68 % (4186017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186017)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186017)Termination reason: Instruction limit
% 1.86/0.68 % (4186017)Termination phase: shuffling
% 1.86/0.68 % (4186017)Time elapsed: 0.014 s
% 1.86/0.68 % (4186017)Peak memory usage: 11 MB
% 1.86/0.68 % (4186017)Instructions burned: 15 (million)
% 1.86/0.68 % (4186027)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=2190101110:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.86/0.68 % (4186027)Instruction limit reached!
% 1.86/0.68 % (4186027)------------------------------
% 1.86/0.68 % (4186027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186027)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186027)Termination reason: Instruction limit
% 1.86/0.68 % (4186027)Termination phase: shuffling
% 1.86/0.68 % (4186027)Time elapsed: 0.007 s
% 1.86/0.68 % (4186027)Peak memory usage: 11 MB
% 1.86/0.68 % (4186027)Instructions burned: 14 (million)
% 1.86/0.68 % (4186031)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=1634070376:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.86/0.68 % (4186031)Instruction limit reached!
% 1.86/0.68 % (4186031)------------------------------
% 1.86/0.68 % (4186031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186031)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186031)Termination reason: Instruction limit
% 1.86/0.68 % (4186031)Termination phase: shuffling
% 1.86/0.68 % (4186031)Time elapsed: 0.009 s
% 1.86/0.68 % (4186031)Peak memory usage: 12 MB
% 1.86/0.68 % (4186031)Instructions burned: 33 (million)
% 1.86/0.68 % (4186036)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3564566228:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.86/0.68 % (4186025)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3662729882:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.86/0.68 % (4186032)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3736048060:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.86/0.68 % (4186026)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2265179860:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.86/0.68 % (4186036)Instruction limit reached!
% 1.86/0.68 % (4186036)------------------------------
% 1.86/0.68 % (4186036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186036)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186036)Termination reason: Instruction limit
% 1.86/0.68 % (4186036)Termination phase: shuffling
% 1.86/0.68 % (4186036)Time elapsed: 0.006 s
% 1.86/0.68 % (4186036)Peak memory usage: 11 MB
% 1.86/0.68 % (4186036)Instructions burned: 23 (million)
% 1.86/0.68 % (4186032)Instruction limit reached!
% 1.86/0.68 % (4186032)------------------------------
% 1.86/0.68 % (4186032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186032)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186032)Termination reason: Instruction limit
% 1.86/0.68 % (4186032)Termination phase: shuffling
% 1.86/0.68 % (4186032)Time elapsed: 0.008 s
% 1.86/0.68 % (4186032)Peak memory usage: 11 MB
% 1.86/0.68 % (4186032)Instructions burned: 7 (million)
% 1.86/0.68 % (4186035)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=402683181:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.86/0.68 % (4186025)Instruction limit reached!
% 1.86/0.68 % (4186025)------------------------------
% 1.86/0.68 % (4186025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186025)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186025)Termination reason: Instruction limit
% 1.86/0.68 % (4186025)Termination phase: shuffling
% 1.86/0.68 % (4186025)Time elapsed: 0.020 s
% 1.86/0.68 % (4186025)Peak memory usage: 11 MB
% 1.86/0.68 % (4186025)Instructions burned: 23 (million)
% 1.86/0.68 % (4186041)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1931510930:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 1.86/0.68 % (4186042)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=391236187:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 1.86/0.68 % (4186008) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4185972-4186008"...
% 1.86/0.68 % (4186008)...printing done.
% 1.86/0.68 % (4186035)Instruction limit reached!
% 1.86/0.68 % (4186035)------------------------------
% 1.86/0.68 % (4186035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186035)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186035)Termination reason: Instruction limit
% 1.86/0.68 % (4186035)Termination phase: shuffling
% 1.86/0.68 % (4186035)Time elapsed: 0.022 s
% 1.86/0.68 % (4186035)Peak memory usage: 11 MB
% 1.86/0.68 % (4186035)Instructions burned: 23 (million)
% 1.86/0.68 % (4186008)Refutation found. Thanks to Tanya!
% 1.86/0.68 % SZS status Theorem for theBenchmark
% 1.86/0.68 % SZS output start Proof for theBenchmark
% 1.86/0.68 thf(type_def_5, type, x_a: $tType).
% 1.86/0.68 thf(type_def_6, type, com: $tType).
% 1.86/0.68 thf(type_def_7, type, state: $tType).
% 1.86/0.68 thf(type_def_8, type, vname: $tType).
% 1.86/0.68 thf(type_def_9, type, hoare_2091234717iple_a: $tType).
% 1.86/0.68 thf(type_def_10, type, int: $tType).
% 1.86/0.68 thf(type_def_11, type, nat: $tType).
% 1.86/0.68 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 1.86/0.68 thf(func_def_0, type, big_co1555037566_a_int: ((hoare_2091234717iple_a > int) > (hoare_2091234717iple_a > $o) > int)).
% 1.86/0.68 thf(func_def_1, type, big_co917763874_a_nat: ((hoare_2091234717iple_a > nat) > (hoare_2091234717iple_a > $o) > nat)).
% 1.86/0.68 thf(func_def_2, type, big_co230513141nt_int: ((int > int) > (int > $o) > int)).
% 1.86/0.68 thf(func_def_3, type, big_co1740723097nt_nat: ((int > nat) > (int > $o) > nat)).
% 1.86/0.68 thf(func_def_4, type, big_co1024481617at_int: ((nat > int) > (nat > $o) > int)).
% 1.86/0.68 thf(func_def_5, type, big_co387207925at_nat: ((nat > nat) > (nat > $o) > nat)).
% 1.86/0.68 thf(func_def_6, type, big_co2030419055_a_int: ((hoare_2091234717iple_a > int) > (hoare_2091234717iple_a > $o) > int)).
% 1.86/0.68 thf(func_def_7, type, big_co1393145363_a_nat: ((hoare_2091234717iple_a > nat) > (hoare_2091234717iple_a > $o) > nat)).
% 1.86/0.68 thf(func_def_8, type, big_co1548731110nt_int: ((int > int) > (int > $o) > int)).
% 1.86/0.68 thf(func_def_9, type, big_co911457418nt_nat: ((int > nat) > (int > $o) > nat)).
% 1.86/0.68 thf(func_def_10, type, big_co195215938at_int: ((nat > int) > (nat > $o) > int)).
% 1.86/0.68 thf(func_def_11, type, big_co1705425894at_nat: ((nat > nat) > (nat > $o) > nat)).
% 1.86/0.68 thf(func_def_12, type, big_linorder_Max_int: ((int > $o) > int)).
% 1.86/0.68 thf(func_def_13, type, big_linorder_Max_nat: ((nat > $o) > nat)).
% 1.86/0.68 thf(func_def_14, type, big_linorder_Min_int: ((int > $o) > int)).
% 1.86/0.68 thf(func_def_15, type, big_linorder_Min_nat: ((nat > $o) > nat)).
% 1.86/0.68 thf(func_def_16, type, big_se96866163iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a) > $o)).
% 1.86/0.68 thf(func_def_17, type, big_se913005884ig_int: ((int > int > int) > ((int > $o) > int) > $o)).
% 1.86/0.68 thf(func_def_18, type, big_se275732192ig_nat: ((nat > nat > nat) > ((nat > $o) > nat) > $o)).
% 1.86/0.68 thf(func_def_19, type, ass: (vname > (state > nat) > com)).
% 1.86/0.68 thf(func_def_20, type, skip: com).
% 1.86/0.68 thf(func_def_21, type, semi: (com > com > com)).
% 1.86/0.68 thf(func_def_22, type, finite_card_int: ((int > $o) > nat)).
% 1.86/0.68 thf(func_def_23, type, finite_card_nat: ((nat > $o) > nat)).
% 1.86/0.68 thf(func_def_24, type, finite2078358188le_a_o: ((hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_25, type, finite408405521iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > $o)).
% 1.86/0.68 thf(func_def_26, type, finite1475994860_int_o: ((int > (int > $o) > int > $o) > $o)).
% 1.86/0.68 thf(func_def_27, type, finite1973466193nt_int: ((int > int > int) > $o)).
% 1.86/0.68 thf(func_def_28, type, finite1690695148_nat_o: ((nat > (nat > $o) > nat > $o) > $o)).
% 1.86/0.68 thf(func_def_29, type, finite2130160977at_nat: ((nat > nat > nat) > $o)).
% 1.86/0.68 thf(func_def_30, type, finite438582129le_a_o: ((hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_31, type, finite1776604428iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > $o)).
% 1.86/0.68 thf(func_def_32, type, finite175163825_int_o: ((int > (int > $o) > int > $o) > $o)).
% 1.86/0.68 thf(func_def_33, type, finite1704255308nt_int: ((int > int > int) > $o)).
% 1.86/0.68 thf(func_def_34, type, finite389864113_nat_o: ((nat > (nat > $o) > nat > $o) > $o)).
% 1.86/0.68 thf(func_def_35, type, finite1860950092at_nat: ((nat > nat > nat) > $o)).
% 1.86/0.68 thf(func_def_36, type, finite1829014797le_a_o: (((hoare_2091234717iple_a > $o) > $o) > $o)).
% 1.86/0.68 thf(func_def_37, type, finite_finite_int_o: (((int > $o) > $o) > $o)).
% 1.86/0.68 thf(func_def_38, type, finite_finite_nat_o: (((nat > $o) > $o) > $o)).
% 1.86/0.68 thf(func_def_39, type, finite232261744iple_a: ((hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_40, type, finite_finite_int: ((int > $o) > $o)).
% 1.86/0.68 thf(func_def_41, type, finite_finite_nat: ((nat > $o) > $o)).
% 1.86/0.68 thf(func_def_42, type, finite114877549iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_43, type, finite_fold1Set_int: ((int > int > int) > (int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_44, type, finite_fold1Set_nat: ((nat > nat > nat) > (nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_45, type, finite2106937597iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_46, type, finite_fold1_int: ((int > int > int) > (int > $o) > int)).
% 1.86/0.68 thf(func_def_47, type, finite_fold1_nat: ((nat > nat > nat) > (nat > $o) > nat)).
% 1.86/0.68 thf(func_def_48, type, finite2010064629le_a_o: ((hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_49, type, finite186236040iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_50, type, finite111936821_int_o: ((int > (int > $o) > int > $o) > (int > $o) > (int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_51, type, finite_fold_int_int: ((int > int > int) > int > (int > $o) > int)).
% 1.86/0.68 thf(func_def_52, type, finite326637109_nat_o: ((nat > (nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_53, type, finite_fold_nat_nat: ((nat > nat > nat) > nat > (nat > $o) > nat)).
% 1.86/0.68 thf(func_def_54, type, finite1003551991le_a_o: ((hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_55, type, finite1218641926iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_56, type, finite2015036215_int_o: ((int > (int > $o) > int > $o) > (int > $o) > (int > $o) > (int > $o) > $o)).
% 1.86/0.68 thf(func_def_57, type, finite772772422nt_int: ((int > int > int) > int > (int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_58, type, finite82252855_nat_o: ((nat > (nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > $o)).
% 1.86/0.68 thf(func_def_59, type, finite929467206at_nat: ((nat > nat > nat) > nat > (nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_60, type, finite247037978iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a) > $o)).
% 1.86/0.68 thf(func_def_61, type, finite1626084323ne_int: ((int > int > int) > ((int > $o) > int) > $o)).
% 1.86/0.68 thf(func_def_62, type, finite988810631ne_nat: ((nat > nat > nat) > ((nat > $o) > nat) > $o)).
% 1.86/0.68 thf(func_def_63, type, finite1674555159iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a > hoare_2091234717iple_a) > ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a) > $o)).
% 1.86/0.68 thf(func_def_64, type, finite1432773856em_int: ((int > int > int) > ((int > $o) > int) > $o)).
% 1.86/0.68 thf(func_def_65, type, finite795500164em_nat: ((nat > nat > nat) > ((nat > $o) > nat) > $o)).
% 1.86/0.68 thf(func_def_66, type, minus_836160335le_a_o: ((hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_67, type, minus_minus_int_o: ((int > $o) > (int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_68, type, minus_minus_nat_o: ((nat > $o) > (nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_69, type, minus_minus_o: ($o > $o > $o)).
% 1.86/0.68 thf(func_def_70, type, minus_minus_int: (int > int > int)).
% 1.86/0.68 thf(func_def_71, type, minus_minus_nat: (nat > nat > nat)).
% 1.86/0.68 thf(func_def_72, type, one_one_int: int).
% 1.86/0.68 thf(func_def_73, type, one_one_nat: nat).
% 1.86/0.68 thf(func_def_74, type, plus_plus_int: (int > int > int)).
% 1.86/0.68 thf(func_def_75, type, plus_plus_nat: (nat > nat > nat)).
% 1.86/0.68 thf(func_def_76, type, times_times_int: (int > int > int)).
% 1.86/0.68 thf(func_def_77, type, times_times_nat: (nat > nat > nat)).
% 1.86/0.68 thf(func_def_78, type, uminus_uminus_int: (int > int)).
% 1.86/0.68 thf(func_def_79, type, zero_zero_int: int).
% 1.86/0.68 thf(func_def_80, type, zero_zero_nat: nat).
% 1.86/0.68 thf(func_def_81, type, the_Ho2077879471le_a_o: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_82, type, the_int_o: (((int > $o) > $o) > int > $o)).
% 1.86/0.68 thf(func_def_83, type, the_nat_o: (((nat > $o) > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_84, type, the_Ho1471183438iple_a: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_85, type, the_int: ((int > $o) > int)).
% 1.86/0.68 thf(func_def_86, type, the_nat: ((nat > $o) > nat)).
% 1.86/0.68 thf(func_def_87, type, hoare_1467856363rivs_a: ((hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_88, type, hoare_657976383iple_a: ((x_a > state > $o) > com > (x_a > state > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_89, type, if_nat: ($o > nat > nat > nat)).
% 1.86/0.68 thf(func_def_90, type, semiri1621563631at_int: (nat > int)).
% 1.86/0.68 thf(func_def_91, type, update: (state > vname > nat > state)).
% 1.86/0.68 thf(func_def_92, type, bot_bo1791335050le_a_o: (hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_93, type, bot_bot_int_o: (int > $o)).
% 1.86/0.68 thf(func_def_94, type, bot_bot_nat_o: (nat > $o)).
% 1.86/0.68 thf(func_def_95, type, bot_bot_o: $o).
% 1.86/0.68 thf(func_def_96, type, bot_bot_nat: nat).
% 1.86/0.68 thf(func_def_97, type, ord_less_int_o: ((int > $o) > (int > $o) > $o)).
% 1.86/0.68 thf(func_def_98, type, ord_less_nat_o: ((nat > $o) > (nat > $o) > $o)).
% 1.86/0.68 thf(func_def_99, type, ord_less_int: (int > int > $o)).
% 1.86/0.68 thf(func_def_100, type, ord_less_nat: (nat > nat > $o)).
% 1.86/0.68 thf(func_def_101, type, ord_le35180118le_a_o: ((hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_102, type, ord_less_eq_int_o: ((int > $o) > (int > $o) > $o)).
% 1.86/0.68 thf(func_def_103, type, ord_less_eq_nat_o: ((nat > $o) > (nat > $o) > $o)).
% 1.86/0.68 thf(func_def_104, type, ord_less_eq_o: ($o > $o > $o)).
% 1.86/0.68 thf(func_def_105, type, ord_less_eq_int: (int > int > $o)).
% 1.86/0.68 thf(func_def_106, type, ord_less_eq_nat: (nat > nat > $o)).
% 1.86/0.68 thf(func_def_107, type, ord_max_nat: (nat > nat > nat)).
% 1.86/0.68 thf(func_def_108, type, ord_min_int: (int > int > int)).
% 1.86/0.68 thf(func_def_109, type, ord_min_nat: (nat > nat > nat)).
% 1.86/0.68 thf(func_def_110, type, partia443170835iple_a: (hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_111, type, partial_flat_lub_int: (int > (int > $o) > int)).
% 1.86/0.68 thf(func_def_112, type, partial_flat_lub_nat: (nat > (nat > $o) > nat)).
% 1.86/0.68 thf(func_def_113, type, power_power_int: (int > nat > int)).
% 1.86/0.68 thf(func_def_114, type, power_power_nat: (nat > nat > nat)).
% 1.86/0.68 thf(func_def_115, type, ord_at875362053st_int: (int > int > int > $o)).
% 1.86/0.68 thf(func_def_116, type, ord_at238088361st_nat: (nat > nat > nat > $o)).
% 1.86/0.68 thf(func_def_117, type, ord_gr375877188st_nat: (nat > nat > nat > $o)).
% 1.86/0.68 thf(func_def_118, type, ord_lessThan_int: (int > int > $o)).
% 1.86/0.68 thf(func_def_119, type, ord_lessThan_nat: (nat > nat > $o)).
% 1.86/0.68 thf(func_def_120, type, collec1008234059le_a_o: (((hoare_2091234717iple_a > $o) > $o) > (hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_121, type, collect_int_o: (((int > $o) > $o) > (int > $o) > $o)).
% 1.86/0.68 thf(func_def_122, type, collect_nat_o: (((nat > $o) > $o) > (nat > $o) > $o)).
% 1.86/0.68 thf(func_def_123, type, collec992574898iple_a: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_124, type, collect_int: ((int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_125, type, collect_nat: ((nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_126, type, image_1661191109iple_a: ((hoare_2091234717iple_a > hoare_2091234717iple_a) > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_127, type, image_263112078_a_int: ((hoare_2091234717iple_a > int) > (hoare_2091234717iple_a > $o) > int > $o)).
% 1.86/0.68 thf(func_def_128, type, image_1773322034_a_nat: ((hoare_2091234717iple_a > nat) > (hoare_2091234717iple_a > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_129, type, image_338319932iple_a: ((int > hoare_2091234717iple_a) > (int > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_130, type, image_int_int: ((int > int) > (int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_131, type, image_int_nat: ((int > nat) > (int > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_132, type, image_359186840iple_a: ((nat > hoare_2091234717iple_a) > (nat > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_133, type, image_nat_int: ((nat > int) > (nat > $o) > int > $o)).
% 1.86/0.68 thf(func_def_134, type, image_nat_nat: ((nat > nat) > (nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_135, type, insert1597628439iple_a: (hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_136, type, insert_int: (int > (int > $o) > int > $o)).
% 1.86/0.68 thf(func_def_137, type, insert_nat: (nat > (nat > $o) > nat > $o)).
% 1.86/0.68 thf(func_def_138, type, the_el13400124iple_a: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_139, type, the_elem_int: ((int > $o) > int)).
% 1.86/0.68 thf(func_def_140, type, the_elem_nat: ((nat > $o) > nat)).
% 1.86/0.68 thf(func_def_141, type, fequal1604381340iple_a: (hoare_2091234717iple_a > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_142, type, fequal_int: (int > int > $o)).
% 1.86/0.68 thf(func_def_143, type, fequal_nat: (nat > nat > $o)).
% 1.86/0.68 thf(func_def_144, type, member290856304iple_a: (hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > $o)).
% 1.86/0.68 thf(func_def_145, type, member_int: (int > (int > $o) > $o)).
% 1.86/0.68 thf(func_def_146, type, member_nat: (nat > (nat > $o) > $o)).
% 1.86/0.68 thf(func_def_147, type, g: (hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_148, type, p: (x_a > state > $o)).
% 1.86/0.68 thf(func_def_149, type, b: (state > $o)).
% 1.86/0.68 thf(func_def_150, type, c: com).
% 1.86/0.68 thf(func_def_152, type, vAND: ($o > $o > $o)).
% 1.86/0.68 thf(func_def_153, type, vIMP: ($o > $o > $o)).
% 1.86/0.68 thf(func_def_154, type, vNOT: ($o > $o)).
% 1.86/0.68 thf(func_def_155, type, vOR: ($o > $o > $o)).
% 1.86/0.68 thf(func_def_156, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.86/0.68 thf(func_def_159, type, db0: !>[X0: $tType]:(X0)).
% 1.86/0.68 thf(func_def_160, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.86/0.68 thf(func_def_161, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.86/0.68 thf(func_def_162, type, db1: !>[X0: $tType]:(X0)).
% 1.86/0.68 thf(func_def_163, type, sK0: ((x_a > state > $o) > (hoare_2091234717iple_a > $o) > com > (x_a > state > $o) > x_a)).
% 1.86/0.68 thf(func_def_164, type, sK1: ((x_a > state > $o) > (hoare_2091234717iple_a > $o) > com > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_165, type, sK2: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (hoare_2091234717iple_a > $o) > com > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_166, type, sK3: ((int > int) > (int > $o) > int)).
% 1.86/0.68 thf(func_def_167, type, sK4: (hoare_2091234717iple_a > com)).
% 1.86/0.68 thf(func_def_168, type, sK5: (hoare_2091234717iple_a > x_a > state > $o)).
% 1.86/0.68 thf(func_def_169, type, sK6: (hoare_2091234717iple_a > x_a > state > $o)).
% 1.86/0.68 thf(func_def_170, type, sK7: ((hoare_2091234717iple_a > $o) > (x_a > state > $o) > com > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_171, type, sK8: ((hoare_2091234717iple_a > $o) > (x_a > state > $o) > com > (x_a > state > $o) > x_a)).
% 1.86/0.68 thf(func_def_172, type, sK9: (hoare_2091234717iple_a > (hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_173, type, sK10: ((nat > $o) > (nat > int) > nat)).
% 1.86/0.68 thf(func_def_174, type, sK11: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_175, type, sK12: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_176, type, sK13: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_177, type, sK14: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_178, type, sK15: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_179, type, sK16: ((x_a > state > $o) > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_180, type, sK17: ((x_a > state > $o) > (x_a > state > $o) > x_a)).
% 1.86/0.68 thf(func_def_181, type, sK18: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_182, type, sK19: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_183, type, sK20: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_184, type, sK21: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_185, type, sK22: ((nat > $o) > (nat > nat) > nat)).
% 1.86/0.68 thf(func_def_186, type, sK23: ((hoare_2091234717iple_a > $o) > (hoare_2091234717iple_a > hoare_2091234717iple_a) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_187, type, sK24: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_188, type, sK25: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_189, type, sK26: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > x_a)).
% 1.86/0.68 thf(func_def_190, type, sK27: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_191, type, sK28: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_192, type, sK29: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_193, type, sK30: (((hoare_2091234717iple_a > $o) > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_194, type, sK31: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a > $o)).
% 1.86/0.68 thf(func_def_195, type, sK32: ((hoare_2091234717iple_a > $o) > hoare_2091234717iple_a)).
% 1.86/0.68 thf(func_def_196, type, sK33: ((x_a > state > $o) > (x_a > state > $o) > state)).
% 1.86/0.68 thf(func_def_197, type, sK34: ((x_a > state > $o) > (x_a > state > $o) > x_a)).
% 1.86/0.68 thf(f5,axiom,(
% 1.86/0.68 ! [X2 : com,X3 : (x_a > state > $o),X0 : (hoare_2091234717iple_a > $o),X4 : $o,X1 : (x_a > state > $o)] : ((X4 => (hoare_1467856363rivs_a @ X0 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X1 @ X2 @ X3) @ bot_bo1791335050le_a_o))) => (hoare_1467856363rivs_a @ X0 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[X5 : x_a, X6 : state] : (((X1 @ X5 @ X6) & X4))) @ X2 @ X3) @ bot_bo1791335050le_a_o)))),
% 1.86/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_constant)).
% 1.86/0.68 thf(f8,axiom,(
% 1.86/0.68 ! [X0 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X3 : com,X2 : (x_a > state > $o),X4 : (x_a > state > $o)] : ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X2 @ X3 @ X4) @ bot_bo1791335050le_a_o)) => (! [X6 : state,X5 : x_a] : ((X0 @ X5 @ X6) => (X2 @ X5 @ X6)) => (hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X3 @ X4) @ bot_bo1791335050le_a_o))))),
% 1.86/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_conseq1)).
% 1.86/0.68 thf(f49,axiom,(
% 1.86/0.68 (((collec992574898iple_a @ (^[X0 : hoare_2091234717iple_a] : ($false)))) = bot_bo1791335050le_a_o)),
% 1.86/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_empty__def)).
% 1.86/0.68 thf(f891,axiom,(
% 1.86/0.68 ! [X0 : (hoare_2091234717iple_a > $o),X1 : (hoare_2091234717iple_a > $o)] : ((ord_le35180118le_a_o @ X0 @ X1) => (hoare_1467856363rivs_a @ X1 @ X0))),
% 1.86/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_890_asm)).
% 1.86/0.68 thf(f1208,conjecture,(
% 1.86/0.68 (hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[X0 : x_a, X1 : state] : ($false)) @ c @ (^[X0 : x_a, X1 : state] : (((p @ X0 @ X1) & (~ (b @ X1)))))) @ bot_bo1791335050le_a_o))),
% 1.86/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.86/0.68 thf(f1209,negated_conjecture,(
% 1.86/0.68 ~(hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[X0 : x_a, X1 : state] : ($false)) @ c @ (^[X0 : x_a, X1 : state] : (((p @ X0 @ X1) & (~ (b @ X1)))))) @ bot_bo1791335050le_a_o))),
% 1.86/0.68 inference(negated_conjecture,[status(cth)],[f1208])).
% 1.86/0.68 thf(f1290,plain,(
% 1.86/0.68 (((collec992574898iple_a @ (^[X0 : hoare_2091234717iple_a] : ($false)))) = bot_bo1791335050le_a_o)),
% 1.86/0.68 inference(rectify,[],[f49])).
% 1.86/0.68 thf(f1291,plain,(
% 1.86/0.68 (bot_bo1791335050le_a_o = ((collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))))),
% 1.86/0.68 inference(fool_elimination,[],[f1290])).
% 1.86/0.68 thf(f1394,plain,(
% 1.86/0.68 ! [X0 : com,X1 : (x_a > state > $o),X2 : (hoare_2091234717iple_a > $o),X3 : $o,X4 : (x_a > state > $o)] : ((X3 => (hoare_1467856363rivs_a @ X2 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X4 @ X0 @ X1) @ bot_bo1791335050le_a_o))) => (hoare_1467856363rivs_a @ X2 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[X5 : x_a, X6 : state] : (((X4 @ X5 @ X6) & X3))) @ X0 @ X1) @ bot_bo1791335050le_a_o)))),
% 1.86/0.68 inference(rectify,[],[f5])).
% 1.86/0.68 thf(f1395,plain,(
% 1.86/0.68 ! [X3 : $o,X1 : (x_a > state > $o),X2 : (hoare_2091234717iple_a > $o),X0 : com,X4 : (x_a > state > $o)] : ((($true = X3) => ($true = ((hoare_1467856363rivs_a @ X2 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X4 @ X0 @ X1) @ bot_bo1791335050le_a_o))))) => ($true = ((hoare_1467856363rivs_a @ X2 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X4 @ Y0 @ Y1) & X3)))) @ X0 @ X1) @ bot_bo1791335050le_a_o)))))),
% 1.86/0.68 inference(fool_elimination,[],[f1394])).
% 1.86/0.68 thf(f1572,plain,(
% 1.86/0.68 ~(hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[X0 : x_a, X1 : state] : ($false)) @ c @ (^[X2 : x_a, X3 : state] : (((p @ X2 @ X3) & (~ (b @ X3)))))) @ bot_bo1791335050le_a_o))),
% 1.86/0.68 inference(rectify,[],[f1209])).
% 1.86/0.68 thf(f1573,plain,(
% 1.86/0.68 ~ ($true = ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ bot_bo1791335050le_a_o))))),
% 1.86/0.68 inference(fool_elimination,[],[f1572])).
% 1.86/0.68 thf(f2346,plain,(
% 1.86/0.68 ! [X0 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X2 : com,X3 : (x_a > state > $o),X4 : (x_a > state > $o)] : ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o)) => (! [X5 : state,X6 : x_a] : ((X0 @ X6 @ X5) => (X3 @ X6 @ X5)) => (hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o))))),
% 1.86/0.68 inference(rectify,[],[f8])).
% 1.86/0.68 thf(f2347,plain,(
% 1.86/0.68 ! [X4 : (x_a > state > $o),X0 : (x_a > state > $o),X2 : com,X3 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o)] : (($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) => (! [X6 : x_a,X5 : state] : (($true = ((X0 @ X6 @ X5))) => ($true = ((X3 @ X6 @ X5)))) => ($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o))))))),
% 1.86/0.68 inference(fool_elimination,[],[f2346])).
% 1.86/0.68 thf(f2545,plain,(
% 1.86/0.68 ! [X0 : (hoare_2091234717iple_a > $o),X1 : (hoare_2091234717iple_a > $o)] : ((ord_le35180118le_a_o @ X0 @ X1) => (hoare_1467856363rivs_a @ X1 @ X0))),
% 1.86/0.68 inference(rectify,[],[f891])).
% 1.86/0.68 thf(f2546,plain,(
% 1.86/0.68 ! [X0 : (hoare_2091234717iple_a > $o),X1 : (hoare_2091234717iple_a > $o)] : ((((ord_le35180118le_a_o @ X0 @ X1)) = $true) => (((hoare_1467856363rivs_a @ X1 @ X0)) = $true))),
% 1.86/0.68 inference(fool_elimination,[],[f2545])).
% 1.86/0.68 thf(f3149,plain,(
% 1.86/0.68 ($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ bot_bo1791335050le_a_o))))),
% 1.86/0.68 inference(flattening,[],[f1573])).
% 1.86/0.68 thf(f3248,plain,(
% 1.86/0.68 ! [X1 : (hoare_2091234717iple_a > $o),X0 : (hoare_2091234717iple_a > $o)] : ((((ord_le35180118le_a_o @ X0 @ X1)) != $true) | (((hoare_1467856363rivs_a @ X1 @ X0)) = $true))),
% 1.86/0.68 inference(ennf_transformation,[],[f2546])).
% 1.86/0.68 thf(f3255,plain,(
% 1.86/0.68 ! [X4 : (x_a > state > $o),X3 : $o,X0 : com,X2 : (hoare_2091234717iple_a > $o),X1 : (x_a > state > $o)] : (($true = ((hoare_1467856363rivs_a @ X2 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X4 @ Y0 @ Y1) & X3)))) @ X0 @ X1) @ bot_bo1791335050le_a_o)))) | (($true != ((hoare_1467856363rivs_a @ X2 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X4 @ X0 @ X1) @ bot_bo1791335050le_a_o)))) & ($true = X3)))),
% 1.86/0.68 inference(ennf_transformation,[],[f1395])).
% 1.86/0.68 thf(f3256,plain,(
% 1.86/0.68 ! [X4 : (x_a > state > $o),X0 : (x_a > state > $o),X2 : com,X3 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o)] : ((($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | ? [X5 : state,X6 : x_a] : (($true != ((X3 @ X6 @ X5))) & ($true = ((X0 @ X6 @ X5))))) | ($true != ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o)))))),
% 1.86/0.68 inference(ennf_transformation,[],[f2347])).
% 1.86/0.68 thf(f3257,plain,(
% 1.86/0.68 ! [X3 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X2 : com,X0 : (x_a > state > $o),X4 : (x_a > state > $o)] : (? [X5 : state,X6 : x_a] : (($true != ((X3 @ X6 @ X5))) & ($true = ((X0 @ X6 @ X5)))) | ($true != ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | ($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o)))))),
% 1.86/0.68 inference(flattening,[],[f3256])).
% 1.86/0.68 thf(f3307,plain,(
% 1.86/0.68 ! [X0 : (hoare_2091234717iple_a > $o),X1 : (hoare_2091234717iple_a > $o)] : ((((ord_le35180118le_a_o @ X1 @ X0)) != $true) | (((hoare_1467856363rivs_a @ X0 @ X1)) = $true))),
% 1.86/0.68 inference(rectify,[],[f3248])).
% 1.86/0.68 thf(f3312,plain,(
% 1.86/0.68 ! [X0 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X2 : com,X3 : (x_a > state > $o),X4 : (x_a > state > $o)] : (? [X5 : state,X6 : x_a] : (($true != ((X0 @ X6 @ X5))) & ($true = ((X3 @ X6 @ X5)))) | ($true != ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | ($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o)))))),
% 1.86/0.68 inference(rectify,[],[f3257])).
% 1.86/0.68 thf(f3313,plain,(
% 1.86/0.68 ! [X0 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X2 : com,X3 : (x_a > state > $o),X4 : (x_a > state > $o)] : ((($true != ((X0 @ (sK17 @ X3 @ X0) @ (sK16 @ X3 @ X0)))) & ($true = ((X3 @ (sK17 @ X3 @ X0) @ (sK16 @ X3 @ X0))))) | ($true != ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | ($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o)))))),
% 1.86/0.68 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X8,sK2 @ X7 @ X6 @ X3 @ X2 @ X1 @ X0),skolemize(X8,sK2 @ X7 @ X6 @ X3 @ X2 @ X1 @ X0)],[f3312])).
% 1.86/0.68 thf(f3337,plain,(
% 1.86/0.68 ! [X0 : (x_a > state > $o),X1 : $o,X2 : com,X3 : (hoare_2091234717iple_a > $o),X4 : (x_a > state > $o)] : (($true = ((hoare_1467856363rivs_a @ X3 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X0 @ Y0 @ Y1) & X1)))) @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | (($true != ((hoare_1467856363rivs_a @ X3 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) & ($true = X1)))),
% 1.86/0.68 inference(rectify,[],[f3255])).
% 1.86/0.68 thf(f3386,plain,(
% 1.86/0.68 (bot_bo1791335050le_a_o = ((collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))))),
% 1.86/0.68 inference(cnf_transformation,[],[f1291])).
% 1.86/0.68 thf(f3441,plain,(
% 1.86/0.68 ($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ bot_bo1791335050le_a_o))))),
% 1.86/0.68 inference(cnf_transformation,[],[f3149])).
% 1.86/0.68 thf(f3448,plain,(
% 1.86/0.68 ( ! [X0 : (hoare_2091234717iple_a > $o),X1 : (hoare_2091234717iple_a > $o)] : ((((hoare_1467856363rivs_a @ X0 @ X1)) = $true) | (((ord_le35180118le_a_o @ X1 @ X0)) != $true)) )),
% 1.86/0.68 inference(cnf_transformation,[],[f3307])).
% 1.86/0.68 thf(f3454,plain,(
% 1.86/0.68 ( ! [X2 : com,X3 : (x_a > state > $o),X0 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X4 : (x_a > state > $o)] : (($true = ((X3 @ (sK17 @ X3 @ X0) @ (sK16 @ X3 @ X0)))) | ($true != ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | ($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ bot_bo1791335050le_a_o))))) )),
% 1.86/0.68 inference(cnf_transformation,[],[f3313])).
% 1.86/0.68 thf(f3491,plain,(
% 1.86/0.68 ( ! [X2 : com,X3 : (hoare_2091234717iple_a > $o),X0 : (x_a > state > $o),X1 : $o,X4 : (x_a > state > $o)] : (($true = ((hoare_1467856363rivs_a @ X3 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X0 @ Y0 @ Y1) & X1)))) @ X2 @ X4) @ bot_bo1791335050le_a_o)))) | ($true = X1)) )),
% 1.86/0.68 inference(cnf_transformation,[],[f3337])).
% 1.86/0.68 thf(f3557,plain,(
% 1.86/0.68 ($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))))))),
% 1.86/0.68 inference(definition_unfolding,[],[f3441,f3386])).
% 1.86/0.68 thf(f3565,plain,(
% 1.86/0.68 ( ! [X2 : com,X3 : (x_a > state > $o),X0 : (x_a > state > $o),X1 : (hoare_2091234717iple_a > $o),X4 : (x_a > state > $o)] : (($true = ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X3 @ X2 @ X4) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false))))))) | ($true != ((hoare_1467856363rivs_a @ X1 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ X2 @ X4) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false))))))) | ($true = ((X3 @ (sK17 @ X3 @ X0) @ (sK16 @ X3 @ X0))))) )),
% 1.86/0.68 inference(definition_unfolding,[],[f3454,f3386,f3386])).
% 1.86/0.68 thf(f3585,plain,(
% 1.86/0.68 ( ! [X2 : com,X3 : (hoare_2091234717iple_a > $o),X0 : (x_a > state > $o),X1 : $o,X4 : (x_a > state > $o)] : (($true = ((hoare_1467856363rivs_a @ X3 @ (insert1597628439iple_a @ (hoare_657976383iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X0 @ Y0 @ Y1) & X1)))) @ X2 @ X4) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false))))))) | ($true = X1)) )),
% 1.86/0.68 inference(definition_unfolding,[],[f3491,f3386])).
% 1.86/0.68 thf(f3646,plain,(
% 1.86/0.68 ( ! [X0 : (x_a > state > $o)] : (($true != $true) | ($true = (((^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ (sK17 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0) @ (sK16 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0)))) | ($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))))))) )),
% 1.86/0.68 inference(superposition,[],[f3557,f3565])).
% 1.86/0.68 thf(f3665,plain,(
% 1.86/0.68 ( ! [X0 : (x_a > state > $o)] : (($true = (((^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ (sK17 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0) @ (sK16 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0)))) | ($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))))))) )),
% 1.86/0.68 inference(trivial_inequality_removal,[],[f3646])).
% 1.86/0.68 thf(f3666,plain,(
% 1.86/0.68 ( ! [X0 : (x_a > state > $o)] : (($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false))))))) | ($true = $false)) )),
% 1.86/0.68 inference(beta-eta_normalization,[],[f3665])).
% 1.86/0.68 thf(f3667,plain,(
% 1.86/0.68 ( ! [X0 : (x_a > state > $o)] : (($true != ((hoare_1467856363rivs_a @ g @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))))))) )),
% 1.86/0.68 inference(trivial_inequality_removal,[],[f3666])).
% 1.86/0.68 thf(f3677,plain,(
% 1.86/0.68 ( ! [X1 : $o] : (($true = X1) | ($true != $true)) )),
% 1.86/0.68 inference(superposition,[],[f3667,f3585])).
% 1.86/0.68 thf(f3679,plain,(
% 1.86/0.68 ( ! [X0 : (x_a > state > $o)] : (($true != ((ord_le35180118le_a_o @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))) @ g))) | ($true != $true)) )),
% 1.86/0.68 inference(superposition,[],[f3667,f3448])).
% 1.86/0.68 thf(f3692,plain,(
% 1.86/0.68 ( ! [X1 : $o] : (($true = X1)) )),
% 1.86/0.68 inference(trivial_inequality_removal,[],[f3677])).
% 1.86/0.68 thf(f3698,plain,(
% 1.86/0.68 ( ! [X0 : (x_a > state > $o)] : (($true != ((ord_le35180118le_a_o @ (insert1597628439iple_a @ (hoare_657976383iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec992574898iple_a @ (^[Y0 : hoare_2091234717iple_a]: ($false)))) @ g)))) )),
% 1.86/0.68 inference(trivial_inequality_removal,[],[f3679])).
% 1.86/0.68 thf(f3700,plain,(
% 1.86/0.68 $false),
% 1.86/0.68 inference(forward_subsumption_resolution,[],[f3698,f3692])).
% 1.86/0.68 % SZS output end Proof for theBenchmark
% 1.86/0.68 % (4186008)------------------------------
% 1.86/0.68 % (4186008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.68 % (4186008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.68 % (4186008)CaDiCaL version: 2.1.3
% 1.86/0.68 % (4186008)Termination reason: Refutation
% 1.86/0.68 % (4186008)Time elapsed: 0.157 s
% 1.86/0.68 % (4186008)Peak memory usage: 16 MB
% 1.86/0.68 % (4186008)Instructions burned: 246 (million)
% 1.86/0.68 % (4185972)Success in time 0.349 s
% 1.86/0.68 % Vampire exiting
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