%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW470^2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 0.63s 0.50s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:04:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.28 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
% 0.63/0.43 % (1853302)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.43 % (1853313)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.43 % (1853313)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
% 0.63/0.43 % (1853313)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=3677177095:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.43 % (1853307)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3730672497:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.43 % (1853308)lrs+10_16_si=on:nwc=1.5:random_seed=2758851531:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.43 % (1853309)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2660309407:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.43 % (1853312)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4069789645:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.43 % (1853309)Instruction limit reached!
% 0.63/0.43 % (1853309)------------------------------
% 0.63/0.43 % (1853309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1853309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1853309)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1853309)Termination reason: Instruction limit
% 0.63/0.43 % (1853309)Termination phase: shuffling
% 0.63/0.43 % (1853309)Time elapsed: 0.002 s
% 0.63/0.43 % (1853309)Peak memory usage: 10 MB
% 0.63/0.43 % (1853309)Instructions burned: 3 (million)
% 0.63/0.43 % (1853310)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=2046193956: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)
% 0.63/0.43 % (1853308)Instruction limit reached!
% 0.63/0.43 % (1853308)------------------------------
% 0.63/0.43 % (1853308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1853308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1853308)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1853308)Termination reason: Instruction limit
% 0.63/0.43 % (1853308)Termination phase: shuffling
% 0.63/0.43 % (1853308)Time elapsed: 0.009 s
% 0.63/0.43 % (1853308)Peak memory usage: 10 MB
% 0.63/0.43 % (1853308)Instructions burned: 20 (million)
% 0.63/0.43 % (1853311)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1341545106:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.43 % (1853319)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=948706083:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.43 % (1853319)Instruction limit reached!
% 0.63/0.43 % (1853319)------------------------------
% 0.63/0.43 % (1853319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1853319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1853319)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1853319)Termination reason: Instruction limit
% 0.63/0.43 % (1853319)Termination phase: shuffling
% 0.63/0.43 % (1853319)Time elapsed: 0.003 s
% 0.63/0.43 % (1853319)Peak memory usage: 10 MB
% 0.63/0.43 % (1853319)Instructions burned: 4 (million)
% 0.63/0.43 % (1853321)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1711302055:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.43 % (1853313)Instruction limit reached!
% 0.63/0.43 % (1853313)------------------------------
% 0.63/0.43 % (1853313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1853313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1853313)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1853313)Termination reason: Instruction limit
% 0.63/0.43 % (1853313)Termination phase: Property scanning
% 0.63/0.43 % (1853313)Time elapsed: 0.039 s
% 0.63/0.43 % (1853313)Peak memory usage: 13 MB
% 0.63/0.43 % (1853313)Instructions burned: 162 (million)
% 0.63/0.47 % (1853321)Instruction limit reached!
% 0.63/0.47 % (1853321)------------------------------
% 0.63/0.47 % (1853321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (1853321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (1853321)CaDiCaL version: 2.1.3
% 0.63/0.47 % (1853321)Termination reason: Instruction limit
% 0.63/0.47 % (1853321)Termination phase: shuffling
% 0.63/0.47 % (1853321)Time elapsed: 0.003 s
% 0.63/0.47 % (1853321)Peak memory usage: 10 MB
% 0.63/0.47 % (1853321)Instructions burned: 6 (million)
% 0.63/0.47 % (1853311)Instruction limit reached!
% 0.63/0.47 % (1853311)------------------------------
% 0.63/0.47 % (1853311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (1853311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (1853311)CaDiCaL version: 2.1.3
% 0.63/0.47 % (1853311)Termination reason: Instruction limit
% 0.63/0.47 % (1853311)Termination phase: shuffling
% 0.63/0.47 % (1853311)Time elapsed: 0.022 s
% 0.63/0.47 % (1853311)Peak memory usage: 11 MB
% 0.63/0.47 % (1853311)Instructions burned: 26 (million)
% 0.63/0.47 % (1853312)Instruction limit reached!
% 0.63/0.47 % (1853312)------------------------------
% 0.63/0.47 % (1853312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (1853312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (1853312)CaDiCaL version: 2.1.3
% 0.63/0.47 % (1853312)Termination reason: Instruction limit
% 0.63/0.47 % (1853312)Termination phase: Property scanning
% 0.63/0.47 % (1853312)Time elapsed: 0.034 s
% 0.63/0.47 % (1853312)Peak memory usage: 11 MB
% 0.63/0.47 % (1853312)Instructions burned: 75 (million)
% 0.63/0.47 % (1853324)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.47 % (1853307)Instruction limit reached!
% 0.63/0.47 % (1853307)------------------------------
% 0.63/0.47 % (1853307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (1853307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (1853307)CaDiCaL version: 2.1.3
% 0.63/0.47 % (1853307)Termination reason: Instruction limit
% 0.63/0.47 % (1853307)Termination phase: SInE selection
% 0.63/0.47 % (1853307)Time elapsed: 0.042 s
% 0.63/0.47 % (1853307)Peak memory usage: 12 MB
% 0.63/0.47 % (1853307)Instructions burned: 93 (million)
% 0.63/0.47 % (1853324)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=963992857:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.47 % (1853327)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
% 0.63/0.47 % (1853327)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.47 % (1853328)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=3114381768:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.47 % (1853324)Instruction limit reached!
% 0.63/0.47 % (1853324)------------------------------
% 0.63/0.47 % (1853324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.47 % (1853324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.47 % (1853324)CaDiCaL version: 2.1.3
% 0.63/0.47 % (1853324)Termination reason: Instruction limit
% 0.63/0.47 % (1853324)Termination phase: shuffling
% 0.63/0.47 % (1853324)Time elapsed: 0.004 s
% 0.63/0.47 % (1853324)Peak memory usage: 10 MB
% 0.63/0.47 % (1853324)Instructions burned: 8 (million)
% 0.63/0.47 % (1853327)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=37064918:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.47 % (1853326)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1570707756:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.47 % (1853329)lrs+10_1_si=on:cs=on:random_seed=4045927051:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.47 % (1853330)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.50 % (1853330)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=3776385331:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.50 % (1853329)Instruction limit reached!
% 0.63/0.50 % (1853329)------------------------------
% 0.63/0.50 % (1853329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853329)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853329)Termination reason: Instruction limit
% 0.63/0.50 % (1853329)Termination phase: shuffling
% 0.63/0.50 % (1853329)Time elapsed: 0.005 s
% 0.63/0.50 % (1853329)Peak memory usage: 10 MB
% 0.63/0.50 % (1853329)Instructions burned: 9 (million)
% 0.63/0.50 % (1853327)Instruction limit reached!
% 0.63/0.50 % (1853327)------------------------------
% 0.63/0.50 % (1853327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853327)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853327)Termination reason: Instruction limit
% 0.63/0.50 % (1853327)Termination phase: shuffling
% 0.63/0.50 % (1853327)Time elapsed: 0.013 s
% 0.63/0.50 % (1853327)Peak memory usage: 11 MB
% 0.63/0.50 % (1853327)Instructions burned: 28 (million)
% 0.63/0.50 % (1853326)Instruction limit reached!
% 0.63/0.50 % (1853326)------------------------------
% 0.63/0.50 % (1853326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853326)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853326)Termination reason: Instruction limit
% 0.63/0.50 % (1853326)Termination phase: shuffling
% 0.63/0.50 % (1853326)Time elapsed: 0.011 s
% 0.63/0.50 % (1853326)Peak memory usage: 10 MB
% 0.63/0.50 % (1853326)Instructions burned: 12 (million)
% 0.63/0.50 % (1853330)Instruction limit reached!
% 0.63/0.50 % (1853330)------------------------------
% 0.63/0.50 % (1853330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853330)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853330)Termination reason: Instruction limit
% 0.63/0.50 % (1853330)Termination phase: shuffling
% 0.63/0.50 % (1853330)Time elapsed: 0.003 s
% 0.63/0.50 % (1853330)Peak memory usage: 10 MB
% 0.63/0.50 % (1853330)Instructions burned: 4 (million)
% 0.63/0.50 % (1853328)Instruction limit reached!
% 0.63/0.50 % (1853328)------------------------------
% 0.63/0.50 % (1853328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853328)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853328)Termination reason: Instruction limit
% 0.63/0.50 % (1853328)Termination phase: shuffling
% 0.63/0.50 % (1853328)Time elapsed: 0.021 s
% 0.63/0.50 % (1853328)Peak memory usage: 12 MB
% 0.63/0.50 % (1853328)Instructions burned: 88 (million)
% 0.63/0.50 % (1853334)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1260793103:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.50 % (1853342)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=939116345:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.50 % (1853338)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2290263621:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.50 % (1853339)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=584024183:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.50 % (1853342)Instruction limit reached!
% 0.63/0.50 % (1853342)------------------------------
% 0.63/0.50 % (1853342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853342)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853342)Termination reason: Instruction limit
% 0.63/0.50 % (1853342)Termination phase: shuffling
% 0.63/0.50 % (1853342)Time elapsed: 0.004 s
% 0.63/0.50 % (1853342)Peak memory usage: 10 MB
% 0.63/0.50 % (1853342)Instructions burned: 16 (million)
% 0.63/0.50 % (1853340)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=159519997:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.50 % (1853334)Instruction limit reached!
% 0.63/0.50 % (1853334)------------------------------
% 0.63/0.50 % (1853334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853334)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853334)Termination reason: Instruction limit
% 0.63/0.50 % (1853334)Termination phase: shuffling
% 0.63/0.50 % (1853334)Time elapsed: 0.021 s
% 0.63/0.50 % (1853334)Peak memory usage: 11 MB
% 0.63/0.50 % (1853334)Instructions burned: 38 (million)
% 0.63/0.50 % (1853340)Instruction limit reached!
% 0.63/0.50 % (1853340)------------------------------
% 0.63/0.50 % (1853340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853340)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853340)Termination reason: Instruction limit
% 0.63/0.50 % (1853340)Termination phase: shuffling
% 0.63/0.50 % (1853340)Time elapsed: 0.007 s
% 0.63/0.50 % (1853340)Peak memory usage: 10 MB
% 0.63/0.50 % (1853340)Instructions burned: 15 (million)
% 0.63/0.50 % (1853339)Instruction limit reached!
% 0.63/0.50 % (1853339)------------------------------
% 0.63/0.50 % (1853339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853339)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853339)Termination reason: Instruction limit
% 0.63/0.50 % (1853339)Termination phase: shuffling
% 0.63/0.50 % (1853339)Time elapsed: 0.012 s
% 0.63/0.50 % (1853339)Peak memory usage: 11 MB
% 0.63/0.50 % (1853339)Instructions burned: 26 (million)
% 0.63/0.50 % (1853347)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3838035584:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.63/0.50 % (1853347)Instruction limit reached!
% 0.63/0.50 % (1853347)------------------------------
% 0.63/0.50 % (1853347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853347)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853347)Termination reason: Instruction limit
% 0.63/0.50 % (1853347)Termination phase: shuffling
% 0.63/0.50 % (1853347)Time elapsed: 0.001 s
% 0.63/0.50 % (1853347)Peak memory usage: 10 MB
% 0.63/0.50 % (1853347)Instructions burned: 4 (million)
% 0.63/0.50 % (1853341)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3859699633:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.50 % (1853353)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
% 0.63/0.50 % (1853353)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.63/0.50 % (1853351)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2062275305:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.63/0.50 % (1853352)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=46258188:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.63/0.50 % (1853353)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=2231950868:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.50 % (1853349)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3744520699:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.63/0.50 % (1853353)Instruction limit reached!
% 0.63/0.50 % (1853353)------------------------------
% 0.63/0.50 % (1853353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853353)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853353)Termination reason: Instruction limit
% 0.63/0.50 % (1853353)Termination phase: shuffling
% 0.63/0.50 % (1853353)Time elapsed: 0.007 s
% 0.63/0.50 % (1853353)Peak memory usage: 11 MB
% 0.63/0.50 % (1853353)Instructions burned: 15 (million)
% 0.63/0.50 % (1853351)Instruction limit reached!
% 0.63/0.50 % (1853351)------------------------------
% 0.63/0.50 % (1853351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853351)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853351)Termination reason: Instruction limit
% 0.63/0.50 % (1853351)Termination phase: shuffling
% 0.63/0.50 % (1853351)Time elapsed: 0.010 s
% 0.63/0.50 % (1853351)Peak memory usage: 11 MB
% 0.63/0.50 % (1853351)Instructions burned: 23 (million)
% 0.63/0.50 % (1853359)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.63/0.50 % (1853359)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=1456546745:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.63/0.50 % (1853359)Instruction limit reached!
% 0.63/0.50 % (1853359)------------------------------
% 0.63/0.50 % (1853359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853359)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853359)Termination reason: Instruction limit
% 0.63/0.50 % (1853359)Termination phase: shuffling
% 0.63/0.50 % (1853359)Time elapsed: 0.003 s
% 0.63/0.50 % (1853359)Peak memory usage: 11 MB
% 0.63/0.50 % (1853359)Instructions burned: 12 (million)
% 0.63/0.50 % (1853352)Instruction limit reached!
% 0.63/0.50 % (1853352)------------------------------
% 0.63/0.50 % (1853352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853352)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853352)Termination reason: Instruction limit
% 0.63/0.50 % (1853352)Termination phase: Property scanning
% 0.63/0.50 % (1853352)Time elapsed: 0.026 s
% 0.63/0.50 % (1853352)Peak memory usage: 11 MB
% 0.63/0.50 % (1853352)Instructions burned: 61 (million)
% 0.63/0.50 % (1853349)Instruction limit reached!
% 0.63/0.50 % (1853349)------------------------------
% 0.63/0.50 % (1853349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853349)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853349)Termination reason: Instruction limit
% 0.63/0.50 % (1853349)Termination phase: shuffling
% 0.63/0.50 % (1853349)Time elapsed: 0.024 s
% 0.63/0.50 % (1853349)Peak memory usage: 11 MB
% 0.63/0.50 % (1853349)Instructions burned: 27 (million)
% 0.63/0.50 % (1853360)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=4044166437:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.63/0.50 % (1853338) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1853302-1853338"...
% 0.63/0.50 % (1853362)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4109885885:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.63/0.50 % (1853362)Instruction limit reached!
% 0.63/0.50 % (1853362)------------------------------
% 0.63/0.50 % (1853362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853362)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853362)Termination reason: Instruction limit
% 0.63/0.50 % (1853362)Termination phase: shuffling
% 0.63/0.50 % (1853362)Time elapsed: 0.002 s
% 0.63/0.50 % (1853362)Peak memory usage: 10 MB
% 0.63/0.50 % (1853362)Instructions burned: 7 (million)
% 0.63/0.50 % (1853338)...printing done.
% 0.63/0.50 % (1853338)Refutation found. Thanks to Tanya!
% 0.63/0.50 % SZS status Theorem for theBenchmark
% 0.63/0.50 % SZS output start Proof for theBenchmark
% 0.63/0.50 thf(type_def_5, type, x_a: $tType).
% 0.63/0.50 thf(type_def_6, type, com: $tType).
% 0.63/0.50 thf(type_def_7, type, glb: $tType).
% 0.63/0.50 thf(type_def_8, type, loc: $tType).
% 0.63/0.50 thf(type_def_9, type, state: $tType).
% 0.63/0.50 thf(type_def_10, type, vname: $tType).
% 0.63/0.50 thf(type_def_11, type, hoare_1775062406iple_a: $tType).
% 0.63/0.50 thf(type_def_12, type, hoare_1167836817_state: $tType).
% 0.63/0.50 thf(type_def_13, type, nat: $tType).
% 0.63/0.50 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 0.63/0.50 thf(func_def_0, type, big_la43341705in_nat: ((nat > $o) > nat)).
% 0.63/0.50 thf(func_def_1, type, big_se275732192ig_nat: ((nat > nat > nat) > ((nat > $o) > nat) > $o)).
% 0.63/0.50 thf(func_def_2, type, ass: (vname > (state > nat) > com)).
% 0.63/0.50 thf(func_def_3, type, local: (loc > (state > nat) > com > com)).
% 0.63/0.50 thf(func_def_4, type, skip: com).
% 0.63/0.50 thf(func_def_5, type, semi: (com > com > com)).
% 0.63/0.50 thf(func_def_6, type, glb_1: (glb > vname)).
% 0.63/0.50 thf(func_def_7, type, loc_1: (loc > vname)).
% 0.63/0.50 thf(func_def_8, type, finite2064891473iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > $o)).
% 0.63/0.50 thf(func_def_9, type, finite2120172977le_a_o: ((hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o) > $o)).
% 0.63/0.50 thf(func_def_10, type, finite856902323tate_o: ((hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o) > $o)).
% 0.63/0.50 thf(func_def_11, type, finite389864113_nat_o: ((nat > (nat > $o) > nat > $o) > $o)).
% 0.63/0.50 thf(func_def_12, type, finite_finite_nat_o: (((nat > $o) > $o) > $o)).
% 0.63/0.50 thf(func_def_13, type, finite2063573081iple_a: ((hoare_1775062406iple_a > $o) > $o)).
% 0.63/0.50 thf(func_def_14, type, finite1084549118_state: ((hoare_1167836817_state > $o) > $o)).
% 0.63/0.50 thf(func_def_15, type, finite_finite_nat: ((nat > $o) > $o)).
% 0.63/0.50 thf(func_def_16, type, finite1946188886iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_17, type, finite309220289_state: ((hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state) > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_18, type, finite_fold1Set_nat: ((nat > nat > nat) > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_19, type, finite1790765286iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_20, type, finite1646097201_state: ((hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state) > (hoare_1167836817_state > $o) > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_21, type, finite_fold1_nat: ((nat > nat > nat) > (nat > $o) > nat)).
% 0.63/0.50 thf(func_def_22, type, finite1544171829le_a_o: ((hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_23, type, finite1842721992iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_24, type, finite291020855tate_o: ((hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_25, type, finite1731015960_state: ((hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state) > hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_26, type, finite326637109_nat_o: ((nat > (nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_27, type, finite_fold_nat_nat: ((nat > nat > nat) > nat > (nat > $o) > nat)).
% 0.63/0.50 thf(func_def_28, type, finite727644230iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_29, type, finite1316643734_state: ((hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state) > hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_30, type, finite929467206at_nat: ((nat > nat > nat) > nat > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_31, type, finite2078349315iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a) > $o)).
% 0.63/0.50 thf(func_def_32, type, finite1074406356_state: ((hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state) > ((hoare_1167836817_state > $o) > hoare_1167836817_state) > $o)).
% 0.63/0.50 thf(func_def_33, type, finite988810631ne_nat: ((nat > nat > nat) > ((nat > $o) > nat) > $o)).
% 0.63/0.50 thf(func_def_34, type, finite1358382848iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a > hoare_1775062406iple_a) > ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a) > $o)).
% 0.63/0.50 thf(func_def_35, type, finite806517911_state: ((hoare_1167836817_state > hoare_1167836817_state > hoare_1167836817_state) > ((hoare_1167836817_state > $o) > hoare_1167836817_state) > $o)).
% 0.63/0.50 thf(func_def_36, type, finite795500164em_nat: ((nat > nat > nat) > ((nat > $o) > nat) > $o)).
% 0.63/0.50 thf(func_def_37, type, minus_1944206118le_a_o: ((hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_38, type, minus_2107060239tate_o: ((hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_39, type, minus_minus_nat_o: ((nat > $o) > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_40, type, times_times_nat: (nat > nat > nat)).
% 0.63/0.50 thf(func_def_41, type, the_Ho1155011127iple_a: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_42, type, the_Ho310147232_state: ((hoare_1167836817_state > $o) > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_43, type, the_nat: ((nat > $o) > nat)).
% 0.63/0.50 thf(func_def_44, type, hoare_Mirabelle_MGT: (com > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_45, type, hoare_1508237396rivs_a: ((hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > $o)).
% 0.63/0.50 thf(func_def_46, type, hoare_123228589_state: ((hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > $o)).
% 0.63/0.50 thf(func_def_47, type, hoare_1766022166iple_a: ((x_a > state > $o) > com > (x_a > state > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_48, type, hoare_908217195_state: ((state > state > $o) > com > (state > state > $o) > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_49, type, hoare_1462269968alid_a: (nat > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_50, type, hoare_56934129_state: (nat > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_51, type, semila966743401le_a_o: ((hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_52, type, semila179895820tate_o: ((hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_53, type, semila1947288293_nat_o: ((nat > $o) > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_54, type, semila854092349_inf_o: ($o > $o > $o)).
% 0.63/0.50 thf(func_def_55, type, semila80283416nf_nat: (nat > nat > nat)).
% 0.63/0.50 thf(func_def_56, type, semila13410563le_a_o: ((hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_57, type, semila1172322802tate_o: ((hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_58, type, semila848761471_nat_o: ((nat > $o) > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_59, type, semila10642723_sup_o: ($o > $o > $o)).
% 0.63/0.50 thf(func_def_60, type, semila972727038up_nat: (nat > nat > nat)).
% 0.63/0.50 thf(func_def_61, type, evalc: (com > state > state > $o)).
% 0.63/0.50 thf(func_def_62, type, evaln: (com > state > nat > state > $o)).
% 0.63/0.50 thf(func_def_63, type, getlocs: (state > loc > nat)).
% 0.63/0.50 thf(func_def_64, type, update: (state > vname > nat > state)).
% 0.63/0.50 thf(func_def_65, type, bot_bot_nat_o_o: ((nat > $o) > $o)).
% 0.63/0.50 thf(func_def_66, type, bot_bo751897185le_a_o: (hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_67, type, bot_bo70021908tate_o: (hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_68, type, bot_bot_nat_o: (nat > $o)).
% 0.63/0.50 thf(func_def_69, type, bot_bot_o: $o).
% 0.63/0.50 thf(func_def_70, type, bot_bot_nat: nat).
% 0.63/0.50 thf(func_def_71, type, ord_le1143225901le_a_o: ((hoare_1775062406iple_a > $o) > (hoare_1775062406iple_a > $o) > $o)).
% 0.63/0.50 thf(func_def_72, type, ord_le827224136tate_o: ((hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > $o)).
% 0.63/0.50 thf(func_def_73, type, ord_less_eq_nat_o: ((nat > $o) > (nat > $o) > $o)).
% 0.63/0.50 thf(func_def_74, type, ord_less_eq_o: ($o > $o > $o)).
% 0.63/0.50 thf(func_def_75, type, ord_less_eq_nat: (nat > nat > $o)).
% 0.63/0.50 thf(func_def_76, type, partia126998524iple_a: (hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_77, type, partia715677851_state: (hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_78, type, partial_flat_lub_nat: (nat > (nat > $o) > nat)).
% 0.63/0.50 thf(func_def_79, type, collect_nat_o: (((nat > $o) > $o) > (nat > $o) > $o)).
% 0.63/0.50 thf(func_def_80, type, collec676402587iple_a: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_81, type, collec1027672124_state: ((hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_82, type, collect_nat: ((nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_83, type, image_1170193413iple_a: ((hoare_1775062406iple_a > hoare_1775062406iple_a) > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_84, type, image_1021683026_state: ((hoare_1775062406iple_a > hoare_1167836817_state) > (hoare_1775062406iple_a > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_85, type, image_1806517641_a_nat: ((hoare_1775062406iple_a > nat) > (hoare_1775062406iple_a > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_86, type, image_1802845250iple_a: ((hoare_1167836817_state > hoare_1775062406iple_a) > (hoare_1167836817_state > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_87, type, image_31595733_state: ((hoare_1167836817_state > hoare_1167836817_state) > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_88, type, image_1476618182te_nat: ((hoare_1167836817_state > nat) > (hoare_1167836817_state > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_89, type, image_43014529iple_a: ((nat > hoare_1775062406iple_a) > (nat > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_90, type, image_2121260246_state: ((nat > hoare_1167836817_state) > (nat > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_91, type, image_nat_nat: ((nat > nat) > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_92, type, insert_nat_o: ((nat > $o) > ((nat > $o) > $o) > (nat > $o) > $o)).
% 0.63/0.50 thf(func_def_93, type, insert1281456128iple_a: (hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_94, type, insert2134838167_state: (hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_95, type, insert_nat: (nat > (nat > $o) > nat > $o)).
% 0.63/0.50 thf(func_def_96, type, the_el1844711461iple_a: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_97, type, the_el323660082_state: ((hoare_1167836817_state > $o) > hoare_1167836817_state)).
% 0.63/0.50 thf(func_def_98, type, the_elem_nat: ((nat > $o) > nat)).
% 0.63/0.50 thf(func_def_99, type, fequal_nat_o: ((nat > $o) > (nat > $o) > $o)).
% 0.63/0.50 thf(func_def_100, type, fequal_state: (state > state > $o)).
% 0.63/0.50 thf(func_def_101, type, fequal1288209029iple_a: (hoare_1775062406iple_a > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_102, type, fequal1831255762_state: (hoare_1167836817_state > hoare_1167836817_state > $o)).
% 0.63/0.50 thf(func_def_103, type, fequal_nat: (nat > nat > $o)).
% 0.63/0.50 thf(func_def_104, type, member_nat_o: ((nat > $o) > ((nat > $o) > $o) > $o)).
% 0.63/0.50 thf(func_def_105, type, member2122167641iple_a: (hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > $o)).
% 0.63/0.50 thf(func_def_106, type, member2058392318_state: (hoare_1167836817_state > (hoare_1167836817_state > $o) > $o)).
% 0.63/0.50 thf(func_def_107, type, member_nat: (nat > (nat > $o) > $o)).
% 0.63/0.50 thf(func_def_108, type, g: (hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_109, type, p: (x_a > state > $o)).
% 0.63/0.50 thf(func_def_110, type, b: (state > $o)).
% 0.63/0.50 thf(func_def_111, type, c: com).
% 0.63/0.50 thf(func_def_113, type, vAND: ($o > $o > $o)).
% 0.63/0.50 thf(func_def_114, type, vIMP: ($o > $o > $o)).
% 0.63/0.50 thf(func_def_115, type, vNOT: ($o > $o)).
% 0.63/0.50 thf(func_def_116, type, vOR: ($o > $o > $o)).
% 0.63/0.50 thf(func_def_117, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.50 thf(func_def_120, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.63/0.50 thf(func_def_121, type, db0: !>[X0: $tType]:(X0)).
% 0.63/0.50 thf(func_def_122, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.50 thf(func_def_123, type, db1: !>[X0: $tType]:(X0)).
% 0.63/0.50 thf(func_def_124, type, sK0: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_125, type, sK1: ((hoare_1775062406iple_a > $o) > com > (x_a > state > $o) > (x_a > state > $o) > x_a)).
% 0.63/0.50 thf(func_def_126, type, sK2: ((hoare_1775062406iple_a > $o) > com > (x_a > state > $o) > (x_a > state > $o) > state)).
% 0.63/0.50 thf(func_def_127, type, sK3: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_128, type, sK4: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_129, type, sK5: ((x_a > state > $o) > (x_a > state > $o) > state)).
% 0.63/0.50 thf(func_def_130, type, sK6: ((x_a > state > $o) > (x_a > state > $o) > x_a)).
% 0.63/0.50 thf(func_def_131, type, sK7: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_132, type, sK8: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(func_def_133, type, sK9: ((x_a > state > $o) > (x_a > state > $o) > x_a)).
% 0.63/0.50 thf(func_def_134, type, sK10: ((x_a > state > $o) > (x_a > state > $o) > state)).
% 0.63/0.50 thf(func_def_135, type, sK11: (hoare_1775062406iple_a > (hoare_1775062406iple_a > $o) > hoare_1775062406iple_a > $o)).
% 0.63/0.50 thf(func_def_136, type, sK12: ((x_a > state > $o) > (hoare_1775062406iple_a > $o) > (x_a > state > $o) > com > x_a)).
% 0.63/0.50 thf(func_def_137, type, sK13: ((x_a > state > $o) > (hoare_1775062406iple_a > $o) > (x_a > state > $o) > com > state)).
% 0.63/0.50 thf(func_def_138, type, sK14: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (hoare_1775062406iple_a > $o) > (x_a > state > $o) > com > state)).
% 0.63/0.50 thf(func_def_139, type, sK15: (hoare_1775062406iple_a > x_a > state > $o)).
% 0.63/0.50 thf(func_def_140, type, sK16: (hoare_1775062406iple_a > x_a > state > $o)).
% 0.63/0.50 thf(func_def_141, type, sK17: (hoare_1775062406iple_a > com)).
% 0.63/0.50 thf(func_def_142, type, sK18: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > x_a)).
% 0.63/0.50 thf(func_def_143, type, sK19: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > state)).
% 0.63/0.50 thf(func_def_144, type, sK20: ((x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > (x_a > state > $o) > state)).
% 0.63/0.50 thf(func_def_145, type, sK21: ((hoare_1775062406iple_a > $o) > hoare_1775062406iple_a)).
% 0.63/0.50 thf(f9,axiom,(
% 0.63/0.50 ! [X1 : (x_a > state > $o),X4 : $o,X2 : com,X3 : (x_a > state > $o),X0 : (hoare_1775062406iple_a > $o)] : ((X4 => (hoare_1508237396rivs_a @ X0 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X1 @ X2 @ X3) @ bot_bo751897185le_a_o))) => (hoare_1508237396rivs_a @ X0 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[X5 : x_a, X6 : state] : (((X1 @ X5 @ X6) & X4))) @ X2 @ X3) @ bot_bo751897185le_a_o)))),
% 0.63/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_constant)).
% 0.63/0.50 thf(f15,axiom,(
% 0.63/0.50 ! [X2 : (x_a > state > $o),X4 : (x_a > state > $o),X1 : (hoare_1775062406iple_a > $o),X3 : com,X0 : (x_a > state > $o)] : ((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X2 @ X3 @ X4) @ bot_bo751897185le_a_o)) => (! [X5 : x_a,X6 : state] : ((X0 @ X5 @ X6) => (X2 @ X5 @ X6)) => (hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X3 @ X4) @ bot_bo751897185le_a_o))))),
% 0.63/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_conseq1)).
% 0.63/0.50 thf(f65,axiom,(
% 0.63/0.50 (bot_bo751897185le_a_o = ((collec676402587iple_a @ (^[X0 : hoare_1775062406iple_a] : ($false)))))),
% 0.63/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_empty__def)).
% 0.63/0.50 thf(f572,axiom,(
% 0.63/0.50 ! [X1 : (hoare_1775062406iple_a > $o),X0 : (hoare_1775062406iple_a > $o)] : ((ord_le1143225901le_a_o @ X0 @ X1) => (hoare_1508237396rivs_a @ X1 @ X0))),
% 0.63/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_571_asm)).
% 0.63/0.50 thf(f711,conjecture,(
% 0.63/0.50 (hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[X0 : x_a, X1 : state] : ($false)) @ c @ (^[X0 : x_a, X1 : state] : (((p @ X0 @ X1) & (~ (b @ X1)))))) @ bot_bo751897185le_a_o))),
% 0.63/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.63/0.50 thf(f712,negated_conjecture,(
% 0.63/0.50 ~(hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[X0 : x_a, X1 : state] : ($false)) @ c @ (^[X0 : x_a, X1 : state] : (((p @ X0 @ X1) & (~ (b @ X1)))))) @ bot_bo751897185le_a_o))),
% 0.63/0.50 inference(negated_conjecture,[status(cth)],[f711])).
% 0.63/0.50 thf(f987,plain,(
% 0.63/0.50 ! [X0 : (x_a > state > $o),X1 : (x_a > state > $o),X2 : (hoare_1775062406iple_a > $o),X3 : com,X4 : (x_a > state > $o)] : ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X3 @ X1) @ bot_bo751897185le_a_o)) => (! [X5 : x_a,X6 : state] : ((X4 @ X5 @ X6) => (X0 @ X5 @ X6)) => (hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X4 @ X3 @ X1) @ bot_bo751897185le_a_o))))),
% 0.63/0.50 inference(rectify,[],[f15])).
% 0.63/0.50 thf(f988,plain,(
% 0.63/0.50 ! [X2 : (hoare_1775062406iple_a > $o),X1 : (x_a > state > $o),X3 : com,X0 : (x_a > state > $o),X4 : (x_a > state > $o)] : ((((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X3 @ X1) @ bot_bo751897185le_a_o))) = $true) => (! [X6 : state,X5 : x_a] : ((((X4 @ X5 @ X6)) = $true) => (((X0 @ X5 @ X6)) = $true)) => ($true = ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X4 @ X3 @ X1) @ bot_bo751897185le_a_o))))))),
% 0.63/0.50 inference(fool_elimination,[],[f987])).
% 0.63/0.50 thf(f1069,plain,(
% 0.63/0.50 (bot_bo751897185le_a_o = ((collec676402587iple_a @ (^[X0 : hoare_1775062406iple_a] : ($false)))))),
% 0.63/0.50 inference(rectify,[],[f65])).
% 0.63/0.50 thf(f1070,plain,(
% 0.63/0.50 (bot_bo751897185le_a_o = ((collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))))),
% 0.63/0.50 inference(fool_elimination,[],[f1069])).
% 0.63/0.50 thf(f1097,plain,(
% 0.63/0.50 ! [X0 : (hoare_1775062406iple_a > $o),X1 : (hoare_1775062406iple_a > $o)] : ((ord_le1143225901le_a_o @ X1 @ X0) => (hoare_1508237396rivs_a @ X0 @ X1))),
% 0.63/0.50 inference(rectify,[],[f572])).
% 0.63/0.50 thf(f1098,plain,(
% 0.63/0.50 ! [X1 : (hoare_1775062406iple_a > $o),X0 : (hoare_1775062406iple_a > $o)] : ((((ord_le1143225901le_a_o @ X1 @ X0)) = $true) => (((hoare_1508237396rivs_a @ X0 @ X1)) = $true))),
% 0.63/0.50 inference(fool_elimination,[],[f1097])).
% 0.63/0.50 thf(f1135,plain,(
% 0.63/0.50 ~(hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[X0 : x_a, X1 : state] : ($false)) @ c @ (^[X2 : x_a, X3 : state] : (((p @ X2 @ X3) & (~ (b @ X3)))))) @ bot_bo751897185le_a_o))),
% 0.63/0.50 inference(rectify,[],[f712])).
% 0.63/0.50 thf(f1136,plain,(
% 0.63/0.50 ~ ($true = ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ bot_bo751897185le_a_o))))),
% 0.63/0.50 inference(fool_elimination,[],[f1135])).
% 0.63/0.50 thf(f1651,plain,(
% 0.63/0.50 ! [X0 : (x_a > state > $o),X1 : $o,X2 : com,X3 : (x_a > state > $o),X4 : (hoare_1775062406iple_a > $o)] : ((X1 => (hoare_1508237396rivs_a @ X4 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X2 @ X3) @ bot_bo751897185le_a_o))) => (hoare_1508237396rivs_a @ X4 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[X5 : x_a, X6 : state] : (((X0 @ X5 @ X6) & X1))) @ X2 @ X3) @ bot_bo751897185le_a_o)))),
% 0.63/0.50 inference(rectify,[],[f9])).
% 0.63/0.50 thf(f1652,plain,(
% 0.63/0.50 ! [X1 : $o,X3 : (x_a > state > $o),X4 : (hoare_1775062406iple_a > $o),X2 : com,X0 : (x_a > state > $o)] : ((($true = X1) => ($true = ((hoare_1508237396rivs_a @ X4 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X2 @ X3) @ bot_bo751897185le_a_o))))) => ($true = ((hoare_1508237396rivs_a @ X4 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X0 @ Y0 @ Y1) & X1)))) @ X2 @ X3) @ bot_bo751897185le_a_o)))))),
% 0.63/0.50 inference(fool_elimination,[],[f1651])).
% 0.63/0.50 thf(f1847,plain,(
% 0.63/0.50 ($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ bot_bo751897185le_a_o))))),
% 0.63/0.50 inference(flattening,[],[f1136])).
% 0.63/0.50 thf(f1882,plain,(
% 0.63/0.50 ! [X2 : (hoare_1775062406iple_a > $o),X1 : (x_a > state > $o),X3 : com,X0 : (x_a > state > $o),X4 : (x_a > state > $o)] : ((($true = ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X4 @ X3 @ X1) @ bot_bo751897185le_a_o)))) | ? [X5 : x_a,X6 : state] : ((((X4 @ X5 @ X6)) = $true) & (((X0 @ X5 @ X6)) != $true))) | (((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X3 @ X1) @ bot_bo751897185le_a_o))) != $true))),
% 0.63/0.50 inference(ennf_transformation,[],[f988])).
% 0.63/0.50 thf(f1883,plain,(
% 0.63/0.50 ! [X0 : (x_a > state > $o),X2 : (hoare_1775062406iple_a > $o),X4 : (x_a > state > $o),X1 : (x_a > state > $o),X3 : com] : (($true = ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X4 @ X3 @ X1) @ bot_bo751897185le_a_o)))) | ? [X5 : x_a,X6 : state] : ((((X4 @ X5 @ X6)) = $true) & (((X0 @ X5 @ X6)) != $true)) | (((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X3 @ X1) @ bot_bo751897185le_a_o))) != $true))),
% 0.63/0.50 inference(flattening,[],[f1882])).
% 0.63/0.50 thf(f1885,plain,(
% 0.63/0.50 ! [X1 : (hoare_1775062406iple_a > $o),X0 : (hoare_1775062406iple_a > $o)] : ((((ord_le1143225901le_a_o @ X1 @ X0)) != $true) | (((hoare_1508237396rivs_a @ X0 @ X1)) = $true))),
% 0.63/0.50 inference(ennf_transformation,[],[f1098])).
% 0.63/0.50 thf(f1910,plain,(
% 0.63/0.50 ! [X2 : com,X1 : $o,X4 : (hoare_1775062406iple_a > $o),X3 : (x_a > state > $o),X0 : (x_a > state > $o)] : (($true = ((hoare_1508237396rivs_a @ X4 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X0 @ Y0 @ Y1) & X1)))) @ X2 @ X3) @ bot_bo751897185le_a_o)))) | (($true != ((hoare_1508237396rivs_a @ X4 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X2 @ X3) @ bot_bo751897185le_a_o)))) & ($true = X1)))),
% 0.63/0.50 inference(ennf_transformation,[],[f1652])).
% 0.63/0.50 thf(f1929,plain,(
% 0.63/0.50 ! [X0 : com,X1 : $o,X2 : (hoare_1775062406iple_a > $o),X3 : (x_a > state > $o),X4 : (x_a > state > $o)] : (($true = ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X4 @ Y0 @ Y1) & X1)))) @ X0 @ X3) @ bot_bo751897185le_a_o)))) | (($true != ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X4 @ X0 @ X3) @ bot_bo751897185le_a_o)))) & ($true = X1)))),
% 0.63/0.50 inference(rectify,[],[f1910])).
% 0.63/0.50 thf(f1943,plain,(
% 0.63/0.50 ! [X0 : (x_a > state > $o),X1 : (hoare_1775062406iple_a > $o),X2 : (x_a > state > $o),X3 : (x_a > state > $o),X4 : com] : ((((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X2 @ X4 @ X3) @ bot_bo751897185le_a_o))) = $true) | ? [X5 : x_a,X6 : state] : ((((X2 @ X5 @ X6)) = $true) & (((X0 @ X5 @ X6)) != $true)) | ($true != ((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X4 @ X3) @ bot_bo751897185le_a_o)))))),
% 0.63/0.50 inference(rectify,[],[f1883])).
% 0.63/0.50 thf(f1944,plain,(
% 0.63/0.50 ! [X0 : (x_a > state > $o),X1 : (hoare_1775062406iple_a > $o),X2 : (x_a > state > $o),X3 : (x_a > state > $o),X4 : com] : ((((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X2 @ X4 @ X3) @ bot_bo751897185le_a_o))) = $true) | ((((X2 @ (sK9 @ X2 @ X0) @ (sK10 @ X2 @ X0))) = $true) & ($true != ((X0 @ (sK9 @ X2 @ X0) @ (sK10 @ X2 @ X0))))) | ($true != ((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X4 @ X3) @ bot_bo751897185le_a_o)))))),
% 0.63/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X1,sK0 @ X0),skolemize(X1,sK0 @ X0)],[f1943])).
% 0.63/0.50 thf(f1947,plain,(
% 0.63/0.50 ! [X0 : (hoare_1775062406iple_a > $o),X1 : (hoare_1775062406iple_a > $o)] : ((((ord_le1143225901le_a_o @ X0 @ X1)) != $true) | (((hoare_1508237396rivs_a @ X1 @ X0)) = $true))),
% 0.63/0.50 inference(rectify,[],[f1885])).
% 0.63/0.50 thf(f2007,plain,(
% 0.63/0.50 ( ! [X2 : (hoare_1775062406iple_a > $o),X3 : (x_a > state > $o),X0 : com,X1 : $o,X4 : (x_a > state > $o)] : (($true = ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X4 @ Y0 @ Y1) & X1)))) @ X0 @ X3) @ bot_bo751897185le_a_o)))) | ($true = X1)) )),
% 0.63/0.50 inference(cnf_transformation,[],[f1929])).
% 0.63/0.50 thf(f2033,plain,(
% 0.63/0.50 ( ! [X2 : (x_a > state > $o),X3 : (x_a > state > $o),X0 : (x_a > state > $o),X1 : (hoare_1775062406iple_a > $o),X4 : com] : ((((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X2 @ X4 @ X3) @ bot_bo751897185le_a_o))) = $true) | (((X2 @ (sK9 @ X2 @ X0) @ (sK10 @ X2 @ X0))) = $true) | ($true != ((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X4 @ X3) @ bot_bo751897185le_a_o))))) )),
% 0.63/0.50 inference(cnf_transformation,[],[f1944])).
% 0.63/0.50 thf(f2036,plain,(
% 0.63/0.50 ( ! [X0 : (hoare_1775062406iple_a > $o),X1 : (hoare_1775062406iple_a > $o)] : ((((hoare_1508237396rivs_a @ X1 @ X0)) = $true) | (((ord_le1143225901le_a_o @ X0 @ X1)) != $true)) )),
% 0.63/0.50 inference(cnf_transformation,[],[f1947])).
% 0.63/0.50 thf(f2071,plain,(
% 0.63/0.50 ($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ bot_bo751897185le_a_o))))),
% 0.63/0.50 inference(cnf_transformation,[],[f1847])).
% 0.63/0.50 thf(f2077,plain,(
% 0.63/0.50 (bot_bo751897185le_a_o = ((collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))))),
% 0.63/0.50 inference(cnf_transformation,[],[f1070])).
% 0.63/0.50 thf(f2106,plain,(
% 0.63/0.50 ( ! [X2 : (hoare_1775062406iple_a > $o),X3 : (x_a > state > $o),X0 : com,X1 : $o,X4 : (x_a > state > $o)] : (($true = ((hoare_1508237396rivs_a @ X2 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ((X4 @ Y0 @ Y1) & X1)))) @ X0 @ X3) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false))))))) | ($true = X1)) )),
% 0.63/0.50 inference(definition_unfolding,[],[f2007,f2077])).
% 0.63/0.50 thf(f2125,plain,(
% 0.63/0.50 ( ! [X2 : (x_a > state > $o),X3 : (x_a > state > $o),X0 : (x_a > state > $o),X1 : (hoare_1775062406iple_a > $o),X4 : com] : (($true = ((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X2 @ X4 @ X3) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false))))))) | ($true != ((hoare_1508237396rivs_a @ X1 @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ X4 @ X3) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false))))))) | (((X2 @ (sK9 @ X2 @ X0) @ (sK10 @ X2 @ X0))) = $true)) )),
% 0.63/0.50 inference(definition_unfolding,[],[f2033,f2077,f2077])).
% 0.63/0.50 thf(f2137,plain,(
% 0.63/0.50 ($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))))))),
% 0.63/0.50 inference(definition_unfolding,[],[f2071,f2077])).
% 0.63/0.50 thf(f2177,plain,(
% 0.63/0.50 ( ! [X0 : (x_a > state > $o)] : (($true != $true) | ($true = (((^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ (sK9 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0) @ (sK10 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0)))) | ($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))))))) )),
% 0.63/0.50 inference(superposition,[],[f2137,f2125])).
% 0.63/0.50 thf(f2187,plain,(
% 0.63/0.50 ( ! [X0 : (x_a > state > $o)] : (($true = (((^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ (sK9 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0) @ (sK10 @ (^[Y0 : x_a]: ((^[Y1 : state]: ($false)))) @ X0)))) | ($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))))))) )),
% 0.63/0.50 inference(trivial_inequality_removal,[],[f2177])).
% 0.63/0.50 thf(f2188,plain,(
% 0.63/0.50 ( ! [X0 : (x_a > state > $o)] : (($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false))))))) | ($true = $false)) )),
% 0.63/0.50 inference(beta-eta_normalization,[],[f2187])).
% 0.63/0.50 thf(f2189,plain,(
% 0.63/0.50 ( ! [X0 : (x_a > state > $o)] : (($true != ((hoare_1508237396rivs_a @ g @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))))))) )),
% 0.63/0.50 inference(trivial_inequality_removal,[],[f2188])).
% 0.63/0.50 thf(f2204,plain,(
% 0.63/0.50 ( ! [X1 : $o] : (($true = X1) | ($true != $true)) )),
% 0.63/0.50 inference(superposition,[],[f2189,f2106])).
% 0.63/0.50 thf(f2205,plain,(
% 0.63/0.50 ( ! [X0 : (x_a > state > $o)] : (($true != $true) | ($true != ((ord_le1143225901le_a_o @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))) @ g)))) )),
% 0.63/0.50 inference(superposition,[],[f2189,f2036])).
% 0.63/0.50 thf(f2212,plain,(
% 0.63/0.50 ( ! [X1 : $o] : (($true = X1)) )),
% 0.63/0.50 inference(trivial_inequality_removal,[],[f2204])).
% 0.63/0.50 thf(f2213,plain,(
% 0.63/0.50 ( ! [X0 : (x_a > state > $o)] : (($true != ((ord_le1143225901le_a_o @ (insert1281456128iple_a @ (hoare_1766022166iple_a @ X0 @ c @ (^[Y0 : x_a]: ((^[Y1 : state]: ((p @ Y0 @ Y1) & (~ (b @ Y1))))))) @ (collec676402587iple_a @ (^[Y0 : hoare_1775062406iple_a]: ($false)))) @ g)))) )),
% 0.63/0.50 inference(trivial_inequality_removal,[],[f2205])).
% 0.63/0.50 thf(f2223,plain,(
% 0.63/0.50 $false),
% 0.63/0.50 inference(forward_subsumption_resolution,[],[f2213,f2212])).
% 0.63/0.50 % SZS output end Proof for theBenchmark
% 0.63/0.50 % (1853338)------------------------------
% 0.63/0.50 % (1853338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.50 % (1853338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.50 % (1853338)CaDiCaL version: 2.1.3
% 0.63/0.50 % (1853338)Termination reason: Refutation
% 0.63/0.50 % (1853338)Time elapsed: 0.068 s
% 0.63/0.50 % (1853338)Peak memory usage: 14 MB
% 0.63/0.50 % (1853338)Instructions burned: 145 (million)
% 0.63/0.50 % (1853302)Success in time 0.211 s
% 0.63/0.50 % Vampire exiting
%------------------------------------------------------------------------------