%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP125^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:27 AM UTC 2026
% Result : Theorem 4.25s 0.90s
% Output : Refutation 4.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP125^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n014.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:57:30 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.20/0.29 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
% 0.50/0.44 % (3133608)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.44 % (3133619)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.44 % (3133619)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
% 0.50/0.44 % (3133614)lrs+10_16_si=on:nwc=1.5:random_seed=370563819:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.44 % (3133615)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=89513055:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.44 % (3133618)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=262147236:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.44 % (3133617)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=415176219:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.44 % (3133616)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=1571382545: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)
% 0.50/0.44 % (3133619)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=2106658387:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.44 % (3133615)Instruction limit reached!
% 0.50/0.44 % (3133615)------------------------------
% 0.50/0.44 % (3133615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3133615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3133615)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3133615)Termination reason: Instruction limit
% 0.50/0.44 % (3133615)Termination phase: shuffling
% 0.50/0.44 % (3133615)Time elapsed: 0.003 s
% 0.50/0.44 % (3133615)Peak memory usage: 10 MB
% 0.50/0.44 % (3133615)Instructions burned: 6 (million)
% 0.50/0.44 % (3133614)Instruction limit reached!
% 0.50/0.44 % (3133614)------------------------------
% 0.50/0.44 % (3133614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3133614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3133614)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3133614)Termination reason: Instruction limit
% 0.50/0.44 % (3133614)Termination phase: shuffling
% 0.50/0.44 % (3133614)Time elapsed: 0.009 s
% 0.50/0.44 % (3133614)Peak memory usage: 10 MB
% 0.50/0.44 % (3133614)Instructions burned: 19 (million)
% 0.50/0.44 % (3133617)Instruction limit reached!
% 0.50/0.44 % (3133617)------------------------------
% 0.50/0.44 % (3133617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3133617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3133617)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3133617)Termination reason: Instruction limit
% 0.50/0.44 % (3133617)Termination phase: Property scanning
% 0.50/0.44 % (3133617)Time elapsed: 0.011 s
% 0.50/0.44 % (3133617)Peak memory usage: 10 MB
% 0.50/0.44 % (3133617)Instructions burned: 24 (million)
% 0.50/0.44 % (3133613)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2226768806:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.44 % (3133626)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2180740105:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.44 % (3133628)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.44 % (3133627)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3649314091:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.44 % (3133626)Instruction limit reached!
% 0.50/0.44 % (3133626)------------------------------
% 0.50/0.44 % (3133626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.44 % (3133626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.44 % (3133626)CaDiCaL version: 2.1.3
% 0.50/0.44 % (3133626)Termination reason: Instruction limit
% 0.50/0.48 % (3133626)Termination phase: shuffling
% 0.50/0.48 % (3133626)Time elapsed: 0.004 s
% 0.50/0.48 % (3133626)Peak memory usage: 10 MB
% 0.50/0.48 % (3133626)Instructions burned: 7 (million)
% 0.50/0.48 % (3133628)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1305039168:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.50/0.48 % (3133627)Instruction limit reached!
% 0.50/0.48 % (3133627)------------------------------
% 0.50/0.48 % (3133627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.48 % (3133627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.48 % (3133627)CaDiCaL version: 2.1.3
% 0.50/0.48 % (3133627)Termination reason: Instruction limit
% 0.50/0.48 % (3133627)Termination phase: shuffling
% 0.50/0.48 % (3133627)Time elapsed: 0.003 s
% 0.50/0.48 % (3133627)Peak memory usage: 10 MB
% 0.50/0.48 % (3133627)Instructions burned: 5 (million)
% 0.50/0.48 % (3133628)Instruction limit reached!
% 0.50/0.48 % (3133628)------------------------------
% 0.50/0.48 % (3133628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.48 % (3133628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.48 % (3133628)CaDiCaL version: 2.1.3
% 0.50/0.48 % (3133628)Termination reason: Instruction limit
% 0.50/0.48 % (3133628)Termination phase: shuffling
% 0.50/0.48 % (3133628)Time elapsed: 0.004 s
% 0.50/0.48 % (3133628)Peak memory usage: 10 MB
% 0.50/0.48 % (3133628)Instructions burned: 8 (million)
% 0.50/0.48 % (3133618)Instruction limit reached!
% 0.50/0.48 % (3133618)------------------------------
% 0.50/0.48 % (3133618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.48 % (3133618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.48 % (3133618)CaDiCaL version: 2.1.3
% 0.50/0.48 % (3133618)Termination reason: Instruction limit
% 0.50/0.48 % (3133618)Termination phase: Property scanning
% 0.50/0.48 % (3133618)Time elapsed: 0.035 s
% 0.50/0.48 % (3133618)Peak memory usage: 12 MB
% 0.50/0.48 % (3133618)Instructions burned: 75 (million)
% 0.50/0.48 % (3133613)Instruction limit reached!
% 0.50/0.48 % (3133613)------------------------------
% 0.50/0.48 % (3133613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.48 % (3133613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.48 % (3133613)CaDiCaL version: 2.1.3
% 0.50/0.48 % (3133613)Termination reason: Instruction limit
% 0.50/0.48 % (3133613)Termination phase: Property scanning
% 0.50/0.48 % (3133613)Time elapsed: 0.040 s
% 0.50/0.48 % (3133613)Peak memory usage: 12 MB
% 0.50/0.48 % (3133613)Instructions burned: 88 (million)
% 0.50/0.48 % (3133636)lrs+10_1_si=on:cs=on:random_seed=3305890227:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.50/0.48 % (3133635)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=1768198281:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.50/0.48 % (3133634)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
% 0.50/0.48 % (3133634)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.48 % (3133633)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2070818429:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.50/0.48 % (3133636)Instruction limit reached!
% 0.50/0.48 % (3133636)------------------------------
% 0.50/0.48 % (3133636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.48 % (3133636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.48 % (3133636)CaDiCaL version: 2.1.3
% 0.50/0.48 % (3133636)Termination reason: Instruction limit
% 0.50/0.48 % (3133636)Termination phase: shuffling
% 0.50/0.48 % (3133636)Time elapsed: 0.004 s
% 0.50/0.48 % (3133636)Peak memory usage: 10 MB
% 0.50/0.48 % (3133636)Instructions burned: 8 (million)
% 0.50/0.48 % (3133634)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=708004491:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.50/0.48 % (3133633)Instruction limit reached!
% 1.24/0.52 % (3133633)------------------------------
% 1.24/0.52 % (3133633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.52 % (3133633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.52 % (3133633)CaDiCaL version: 2.1.3
% 1.24/0.52 % (3133633)Termination reason: Instruction limit
% 1.24/0.52 % (3133633)Termination phase: shuffling
% 1.24/0.52 % (3133633)Time elapsed: 0.006 s
% 1.24/0.52 % (3133633)Peak memory usage: 10 MB
% 1.24/0.52 % (3133633)Instructions burned: 13 (million)
% 1.24/0.52 % (3133639)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.24/0.52 % (3133634)Instruction limit reached!
% 1.24/0.52 % (3133634)------------------------------
% 1.24/0.52 % (3133634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.52 % (3133634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.52 % (3133634)CaDiCaL version: 2.1.3
% 1.24/0.52 % (3133634)Termination reason: Instruction limit
% 1.24/0.52 % (3133634)Termination phase: shuffling
% 1.24/0.52 % (3133634)Time elapsed: 0.013 s
% 1.24/0.52 % (3133634)Peak memory usage: 10 MB
% 1.24/0.52 % (3133634)Instructions burned: 29 (million)
% 1.24/0.52 % (3133639)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=2300808576:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.24/0.52 % (3133639)Instruction limit reached!
% 1.24/0.52 % (3133639)------------------------------
% 1.24/0.52 % (3133639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.52 % (3133639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.52 % (3133639)CaDiCaL version: 2.1.3
% 1.24/0.52 % (3133639)Termination reason: Instruction limit
% 1.24/0.52 % (3133639)Termination phase: shuffling
% 1.24/0.52 % (3133639)Time elapsed: 0.002 s
% 1.24/0.52 % (3133639)Peak memory usage: 10 MB
% 1.24/0.52 % (3133639)Instructions burned: 3 (million)
% 1.24/0.52 % (3133642)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4011126272:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.24/0.52 % (3133619)Instruction limit reached!
% 1.24/0.52 % (3133619)------------------------------
% 1.24/0.52 % (3133619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.52 % (3133619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.52 % (3133619)CaDiCaL version: 2.1.3
% 1.24/0.52 % (3133619)Termination reason: Instruction limit
% 1.24/0.52 % (3133619)Termination phase: Saturation
% 1.24/0.52 % (3133619)Time elapsed: 0.081 s
% 1.24/0.52 % (3133619)Peak memory usage: 14 MB
% 1.24/0.52 % (3133619)Instructions burned: 157 (million)
% 1.24/0.52 % (3133643)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2657081101:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.24/0.52 % (3133645)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2238792974:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.24/0.52 % (3133635)Instruction limit reached!
% 1.24/0.52 % (3133635)------------------------------
% 1.24/0.52 % (3133635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.52 % (3133635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.52 % (3133635)CaDiCaL version: 2.1.3
% 1.24/0.52 % (3133635)Termination reason: Instruction limit
% 1.24/0.52 % (3133635)Termination phase: Property scanning
% 1.24/0.52 % (3133635)Time elapsed: 0.037 s
% 1.24/0.52 % (3133635)Peak memory usage: 11 MB
% 1.24/0.52 % (3133635)Instructions burned: 87 (million)
% 1.24/0.52 % (3133646)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2674704132:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.52 % (3133642)Instruction limit reached!
% 1.24/0.52 % (3133642)------------------------------
% 1.24/0.52 % (3133642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.52 % (3133642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.52 % (3133642)CaDiCaL version: 2.1.3
% 1.24/0.52 % (3133642)Termination reason: Instruction limit
% 1.24/0.52 % (3133642)Termination phase: Preprocessing 3
% 1.80/0.60 % (3133642)Time elapsed: 0.018 s
% 1.80/0.60 % (3133642)Peak memory usage: 11 MB
% 1.80/0.60 % (3133642)Instructions burned: 39 (million)
% 1.80/0.60 % (3133649)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1980975063:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.80/0.60 % (3133646)Instruction limit reached!
% 1.80/0.60 % (3133646)------------------------------
% 1.80/0.60 % (3133646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.60 % (3133646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.60 % (3133646)CaDiCaL version: 2.1.3
% 1.80/0.60 % (3133646)Termination reason: Instruction limit
% 1.80/0.60 % (3133646)Termination phase: shuffling
% 1.80/0.60 % (3133646)Time elapsed: 0.007 s
% 1.80/0.60 % (3133646)Peak memory usage: 10 MB
% 1.80/0.60 % (3133646)Instructions burned: 16 (million)
% 1.80/0.60 % (3133645)Instruction limit reached!
% 1.80/0.60 % (3133645)------------------------------
% 1.80/0.60 % (3133645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.60 % (3133645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.60 % (3133645)CaDiCaL version: 2.1.3
% 1.80/0.60 % (3133645)Termination reason: Instruction limit
% 1.80/0.60 % (3133645)Termination phase: Property scanning
% 1.80/0.60 % (3133645)Time elapsed: 0.011 s
% 1.80/0.60 % (3133645)Peak memory usage: 10 MB
% 1.80/0.60 % (3133645)Instructions burned: 25 (million)
% 1.80/0.60 % (3133651)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1971462850:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.80/0.60 % (3133651)Instruction limit reached!
% 1.80/0.60 % (3133651)------------------------------
% 1.80/0.60 % (3133651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.60 % (3133651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.60 % (3133651)CaDiCaL version: 2.1.3
% 1.80/0.60 % (3133651)Termination reason: Instruction limit
% 1.80/0.60 % (3133651)Termination phase: shuffling
% 1.80/0.60 % (3133651)Time elapsed: 0.007 s
% 1.80/0.60 % (3133651)Peak memory usage: 10 MB
% 1.80/0.60 % (3133651)Instructions burned: 14 (million)
% 1.80/0.60 % (3133655)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=139363867:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.80/0.60 % (3133653)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3566682489:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.80/0.60 % (3133653)Instruction limit reached!
% 1.80/0.60 % (3133653)------------------------------
% 1.80/0.60 % (3133653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.60 % (3133653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.60 % (3133653)CaDiCaL version: 2.1.3
% 1.80/0.60 % (3133653)Termination reason: Instruction limit
% 1.80/0.60 % (3133653)Termination phase: shuffling
% 1.80/0.60 % (3133653)Time elapsed: 0.003 s
% 1.80/0.60 % (3133653)Peak memory usage: 10 MB
% 1.80/0.60 % (3133653)Instructions burned: 5 (million)
% 1.80/0.60 % (3133656)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1579232612:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.80/0.60 % (3133655)Instruction limit reached!
% 1.80/0.60 % (3133655)------------------------------
% 1.80/0.60 % (3133655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.60 % (3133655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.60 % (3133655)CaDiCaL version: 2.1.3
% 1.80/0.60 % (3133655)Termination reason: Instruction limit
% 1.80/0.60 % (3133655)Termination phase: shuffling
% 1.80/0.60 % (3133655)Time elapsed: 0.013 s
% 1.80/0.60 % (3133655)Peak memory usage: 10 MB
% 1.80/0.60 % (3133655)Instructions burned: 28 (million)
% 1.80/0.60 % (3133658)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1336523095:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.80/0.60 % (3133656)Instruction limit reached!
% 1.80/0.60 % (3133656)------------------------------
% 1.80/0.60 % (3133656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.80/0.60 % (3133656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.80/0.60 % (3133656)CaDiCaL version: 2.1.3
% 2.15/0.66 % (3133656)Termination reason: Instruction limit
% 2.15/0.66 % (3133656)Termination phase: Property scanning
% 2.15/0.66 % (3133656)Time elapsed: 0.011 s
% 2.15/0.66 % (3133656)Peak memory usage: 10 MB
% 2.15/0.66 % (3133656)Instructions burned: 25 (million)
% 2.15/0.66 % (3133661)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
% 2.15/0.66 % (3133661)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.15/0.66 % (3133661)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=1512409570:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.15/0.66 % (3133663)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.15/0.66 % (3133661)Instruction limit reached!
% 2.15/0.66 % (3133661)------------------------------
% 2.15/0.66 % (3133661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.66 % (3133661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.66 % (3133661)CaDiCaL version: 2.1.3
% 2.15/0.66 % (3133661)Termination reason: Instruction limit
% 2.15/0.66 % (3133661)Termination phase: shuffling
% 2.15/0.66 % (3133661)Time elapsed: 0.007 s
% 2.15/0.66 % (3133661)Peak memory usage: 10 MB
% 2.15/0.66 % (3133661)Instructions burned: 15 (million)
% 2.15/0.66 % (3133663)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=2454819262:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.15/0.66 % (3133665)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=3743722606:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.15/0.66 % (3133663)Instruction limit reached!
% 2.15/0.66 % (3133663)------------------------------
% 2.15/0.66 % (3133663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.66 % (3133663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.66 % (3133663)CaDiCaL version: 2.1.3
% 2.15/0.66 % (3133663)Termination reason: Instruction limit
% 2.15/0.66 % (3133663)Termination phase: shuffling
% 2.15/0.66 % (3133663)Time elapsed: 0.005 s
% 2.15/0.66 % (3133663)Peak memory usage: 10 MB
% 2.15/0.66 % (3133663)Instructions burned: 10 (million)
% 2.15/0.66 % (3133658)Instruction limit reached!
% 2.15/0.66 % (3133658)------------------------------
% 2.15/0.66 % (3133658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.66 % (3133658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.66 % (3133658)CaDiCaL version: 2.1.3
% 2.15/0.66 % (3133658)Termination reason: Instruction limit
% 2.15/0.66 % (3133658)Termination phase: Property scanning
% 2.15/0.66 % (3133658)Time elapsed: 0.028 s
% 2.15/0.66 % (3133658)Peak memory usage: 12 MB
% 2.15/0.66 % (3133658)Instructions burned: 61 (million)
% 2.15/0.66 % (3133667)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=589692760:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.15/0.66 % (3133665)Instruction limit reached!
% 2.15/0.66 % (3133665)------------------------------
% 2.15/0.66 % (3133665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.66 % (3133665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.66 % (3133665)CaDiCaL version: 2.1.3
% 2.15/0.66 % (3133665)Termination reason: Instruction limit
% 2.15/0.66 % (3133665)Termination phase: Property scanning
% 2.15/0.66 % (3133665)Time elapsed: 0.015 s
% 2.15/0.66 % (3133665)Peak memory usage: 11 MB
% 2.15/0.66 % (3133665)Instructions burned: 33 (million)
% 2.15/0.66 % (3133667)Instruction limit reached!
% 2.15/0.66 % (3133667)------------------------------
% 2.15/0.66 % (3133667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.66 % (3133667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.66 % (3133667)CaDiCaL version: 2.1.3
% 2.15/0.66 % (3133667)Termination reason: Instruction limit
% 2.15/0.66 % (3133667)Termination phase: shuffling
% 2.15/0.66 % (3133667)Time elapsed: 0.004 s
% 2.15/0.66 % (3133667)Peak memory usage: 10 MB
% 2.70/0.71 % (3133667)Instructions burned: 8 (million)
% 2.70/0.71 % (3133670)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3835770659:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.70/0.71 % (3133671)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1145549805:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.70/0.71 % (3133670)Instruction limit reached!
% 2.70/0.71 % (3133670)------------------------------
% 2.70/0.71 % (3133670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.71 % (3133670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.71 % (3133670)CaDiCaL version: 2.1.3
% 2.70/0.71 % (3133670)Termination reason: Instruction limit
% 2.70/0.71 % (3133670)Termination phase: shuffling
% 2.70/0.71 % (3133670)Time elapsed: 0.012 s
% 2.70/0.71 % (3133670)Peak memory usage: 10 MB
% 2.70/0.71 % (3133670)Instructions burned: 25 (million)
% 2.70/0.71 % (3133673)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1465554434:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.70/0.71 % (3133671)Instruction limit reached!
% 2.70/0.71 % (3133671)------------------------------
% 2.70/0.71 % (3133671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.71 % (3133671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.71 % (3133671)CaDiCaL version: 2.1.3
% 2.70/0.71 % (3133671)Termination reason: Instruction limit
% 2.70/0.71 % (3133671)Termination phase: Property scanning
% 2.70/0.71 % (3133671)Time elapsed: 0.010 s
% 2.70/0.71 % (3133671)Peak memory usage: 10 MB
% 2.70/0.71 % (3133671)Instructions burned: 21 (million)
% 2.70/0.71 % (3133674)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=289666944:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.70/0.71 % (3133643)Instruction limit reached!
% 2.70/0.71 % (3133643)------------------------------
% 2.70/0.71 % (3133643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.71 % (3133643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.71 % (3133643)CaDiCaL version: 2.1.3
% 2.70/0.71 % (3133643)Termination reason: Instruction limit
% 2.70/0.71 % (3133643)Termination phase: Saturation
% 2.70/0.71 % (3133643)Time elapsed: 0.129 s
% 2.70/0.71 % (3133643)Peak memory usage: 14 MB
% 2.70/0.71 % (3133643)Instructions burned: 249 (million)
% 2.70/0.71 % (3133678)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2421598458:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.70/0.71 % (3133679)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2910457848:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.70/0.71 % (3133681)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.70/0.71 % (3133681)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1829284508:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.70/0.71 % (3133679)Instruction limit reached!
% 2.70/0.71 % (3133679)------------------------------
% 2.70/0.71 % (3133679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.71 % (3133679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.71 % (3133679)CaDiCaL version: 2.1.3
% 2.70/0.71 % (3133679)Termination reason: Instruction limit
% 2.70/0.71 % (3133679)Termination phase: Preprocessing 3
% 2.70/0.71 % (3133679)Time elapsed: 0.021 s
% 2.70/0.71 % (3133679)Peak memory usage: 11 MB
% 2.70/0.71 % (3133679)Instructions burned: 43 (million)
% 2.70/0.71 % (3133681)Instruction limit reached!
% 2.70/0.71 % (3133681)------------------------------
% 2.70/0.71 % (3133681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.71 % (3133681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.71 % (3133681)CaDiCaL version: 2.1.3
% 2.70/0.71 % (3133681)Termination reason: Instruction limit
% 2.70/0.71 % (3133681)Termination phase: shuffling
% 2.70/0.71 % (3133681)Time elapsed: 0.004 s
% 2.70/0.71 % (3133681)Peak memory usage: 10 MB
% 2.70/0.71 % (3133681)Instructions burned: 8 (million)
% 2.70/0.71 % (3133685)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1494084757:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.99/0.83 % (3133686)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=130910460:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.99/0.83 % (3133674)Instruction limit reached!
% 2.99/0.83 % (3133674)------------------------------
% 2.99/0.83 % (3133674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83 % (3133674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83 % (3133674)CaDiCaL version: 2.1.3
% 2.99/0.83 % (3133674)Termination reason: Instruction limit
% 2.99/0.83 % (3133674)Termination phase: Saturation
% 2.99/0.83 % (3133674)Time elapsed: 0.065 s
% 2.99/0.83 % (3133674)Peak memory usage: 13 MB
% 2.99/0.83 % (3133674)Instructions burned: 144 (million)
% 2.99/0.83 % (3133649)Instruction limit reached!
% 2.99/0.83 % (3133649)------------------------------
% 2.99/0.83 % (3133649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83 % (3133649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83 % (3133649)CaDiCaL version: 2.1.3
% 2.99/0.83 % (3133649)Termination reason: Instruction limit
% 2.99/0.83 % (3133649)Termination phase: Saturation
% 2.99/0.83 % (3133649)Time elapsed: 0.174 s
% 2.99/0.83 % (3133649)Peak memory usage: 15 MB
% 2.99/0.83 % (3133649)Instructions burned: 328 (million)
% 2.99/0.83 % (3133689)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.99/0.83 % (3133689)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=633648693:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.99/0.83 % (3133689)Instruction limit reached!
% 2.99/0.83 % (3133689)------------------------------
% 2.99/0.83 % (3133689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83 % (3133689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83 % (3133689)CaDiCaL version: 2.1.3
% 2.99/0.83 % (3133689)Termination reason: Instruction limit
% 2.99/0.83 % (3133689)Termination phase: shuffling
% 2.99/0.83 % (3133689)Time elapsed: 0.003 s
% 2.99/0.83 % (3133689)Peak memory usage: 10 MB
% 2.99/0.83 % (3133689)Instructions burned: 6 (million)
% 2.99/0.83 % (3133690)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=452170868:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.99/0.83 % (3133690)Instruction limit reached!
% 2.99/0.83 % (3133690)------------------------------
% 2.99/0.83 % (3133690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83 % (3133690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83 % (3133690)CaDiCaL version: 2.1.3
% 2.99/0.83 % (3133690)Termination reason: Instruction limit
% 2.99/0.83 % (3133690)Termination phase: Property scanning
% 2.99/0.83 % (3133690)Time elapsed: 0.010 s
% 2.99/0.83 % (3133690)Peak memory usage: 10 MB
% 2.99/0.83 % (3133690)Instructions burned: 22 (million)
% 2.99/0.83 % (3133678)Instruction limit reached!
% 2.99/0.83 % (3133678)------------------------------
% 2.99/0.83 % (3133678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83 % (3133678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83 % (3133678)CaDiCaL version: 2.1.3
% 2.99/0.83 % (3133678)Termination reason: Instruction limit
% 2.99/0.83 % (3133678)Termination phase: Saturation
% 2.99/0.83 % (3133678)Time elapsed: 0.093 s
% 2.99/0.83 % (3133678)Peak memory usage: 14 MB
% 2.99/0.83 % (3133678)Instructions burned: 193 (million)
% 2.99/0.83 % (3133692)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2428581668:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.99/0.83 % (3133692)Instruction limit reached!
% 2.99/0.83 % (3133692)------------------------------
% 2.99/0.83 % (3133692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.83 % (3133692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.83 % (3133692)CaDiCaL version: 2.1.3
% 2.99/0.83 % (3133692)Termination reason: Instruction limit
% 2.99/0.83 % (3133692)Termination phase: shuffling
% 2.99/0.90 % (3133692)Time elapsed: 0.009 s
% 2.99/0.90 % (3133692)Peak memory usage: 10 MB
% 2.99/0.90 % (3133692)Instructions burned: 21 (million)
% 2.99/0.90 % (3133696)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1816978364:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.99/0.90 % (3133694)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=4171999321:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.99/0.90 % (3133697)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3577131210:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.99/0.90 % (3133616)Instruction limit reached!
% 2.99/0.90 % (3133616)------------------------------
% 2.99/0.90 % (3133616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.90 % (3133616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.90 % (3133616)CaDiCaL version: 2.1.3
% 2.99/0.90 % (3133616)Termination reason: Instruction limit
% 2.99/0.90 % (3133616)Termination phase: Saturation
% 2.99/0.90 % (3133616)Time elapsed: 0.339 s
% 2.99/0.90 % (3133616)Peak memory usage: 16 MB
% 2.99/0.90 % (3133616)Instructions burned: 634 (million)
% 2.99/0.90 % (3133686)Instruction limit reached!
% 2.99/0.90 % (3133686)------------------------------
% 2.99/0.90 % (3133686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.90 % (3133686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.90 % (3133686)CaDiCaL version: 2.1.3
% 2.99/0.90 % (3133686)Termination reason: Instruction limit
% 2.99/0.90 % (3133686)Termination phase: Saturation
% 2.99/0.90 % (3133686)Time elapsed: 0.085 s
% 2.99/0.90 % (3133686)Peak memory usage: 14 MB
% 2.99/0.90 % (3133686)Instructions burned: 170 (million)
% 2.99/0.90 % (3133685)Instruction limit reached!
% 2.99/0.90 % (3133685)------------------------------
% 2.99/0.90 % (3133685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.90 % (3133685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.90 % (3133685)CaDiCaL version: 2.1.3
% 2.99/0.90 % (3133685)Termination reason: Instruction limit
% 2.99/0.90 % (3133685)Termination phase: Saturation
% 2.99/0.90 % (3133685)Time elapsed: 0.095 s
% 2.99/0.90 % (3133685)Peak memory usage: 15 MB
% 2.99/0.90 % (3133685)Instructions burned: 182 (million)
% 2.99/0.90 % (3133697)Instruction limit reached!
% 2.99/0.90 % (3133697)------------------------------
% 2.99/0.90 % (3133697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.90 % (3133697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.90 % (3133697)CaDiCaL version: 2.1.3
% 2.99/0.90 % (3133697)Termination reason: Instruction limit
% 2.99/0.90 % (3133697)Termination phase: Property scanning
% 2.99/0.90 % (3133697)Time elapsed: 0.020 s
% 2.99/0.90 % (3133697)Peak memory usage: 10 MB
% 2.99/0.90 % (3133697)Instructions burned: 46 (million)
% 2.99/0.90 % (3133701)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3858887473:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 4.25/0.90 % (3133702)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3942376812:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 4.25/0.90 % (3133703)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.25/0.90 % (3133703)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2326241749:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 4.25/0.90 % (3133702)Instruction limit reached!
% 4.25/0.90 % (3133702)------------------------------
% 4.25/0.90 % (3133702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133702)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133702)Termination reason: Instruction limit
% 4.25/0.90 % (3133702)Termination phase: Property scanning
% 4.25/0.90 % (3133702)Time elapsed: 0.010 s
% 4.25/0.90 % (3133702)Peak memory usage: 10 MB
% 4.25/0.90 % (3133702)Instructions burned: 21 (million)
% 4.25/0.90 % (3133704)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2660691939:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 4.25/0.90 % (3133704)Instruction limit reached!
% 4.25/0.90 % (3133704)------------------------------
% 4.25/0.90 % (3133704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133704)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133704)Termination reason: Instruction limit
% 4.25/0.90 % (3133704)Termination phase: shuffling
% 4.25/0.90 % (3133704)Time elapsed: 0.007 s
% 4.25/0.90 % (3133704)Peak memory usage: 10 MB
% 4.25/0.90 % (3133704)Instructions burned: 15 (million)
% 4.25/0.90 % (3133708)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4062356327:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.25/0.90 % (3133710)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=908186271:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 4.25/0.90 % (3133708)Instruction limit reached!
% 4.25/0.90 % (3133708)------------------------------
% 4.25/0.90 % (3133708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133708)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133708)Termination reason: Instruction limit
% 4.25/0.90 % (3133708)Termination phase: SInE selection
% 4.25/0.90 % (3133708)Time elapsed: 0.029 s
% 4.25/0.90 % (3133708)Peak memory usage: 11 MB
% 4.25/0.90 % (3133708)Instructions burned: 67 (million)
% 4.25/0.90 % (3133710)Instruction limit reached!
% 4.25/0.90 % (3133710)------------------------------
% 4.25/0.90 % (3133710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133710)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133710)Termination reason: Instruction limit
% 4.25/0.90 % (3133710)Termination phase: Property scanning
% 4.25/0.90 % (3133710)Time elapsed: 0.025 s
% 4.25/0.90 % (3133710)Peak memory usage: 12 MB
% 4.25/0.90 % (3133710)Instructions burned: 53 (million)
% 4.25/0.90 % (3133713)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1728157832:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.25/0.90 % (3133714)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1310925085:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.25/0.90 % (3133713)Instruction limit reached!
% 4.25/0.90 % (3133713)------------------------------
% 4.25/0.90 % (3133713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133713)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133713)Termination reason: Instruction limit
% 4.25/0.90 % (3133713)Termination phase: Property scanning
% 4.25/0.90 % (3133713)Time elapsed: 0.015 s
% 4.25/0.90 % (3133713)Peak memory usage: 10 MB
% 4.25/0.90 % (3133713)Instructions burned: 33 (million)
% 4.25/0.90 % (3133703)Instruction limit reached!
% 4.25/0.90 % (3133703)------------------------------
% 4.25/0.90 % (3133703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133703)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133703)Termination reason: Instruction limit
% 4.25/0.90 % (3133703)Termination phase: Saturation
% 4.25/0.90 % (3133703)Time elapsed: 0.086 s
% 4.25/0.90 % (3133703)Peak memory usage: 13 MB
% 4.25/0.90 % (3133703)Instructions burned: 201 (million)
% 4.25/0.90 % (3133717)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3704359192:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.25/0.90 % (3133718)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4266898644:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 4.25/0.90 % (3133717)Instruction limit reached!
% 4.25/0.90 % (3133717)------------------------------
% 4.25/0.90 % (3133717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133717)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133717)Termination reason: Instruction limit
% 4.25/0.90 % (3133717)Termination phase: Property scanning
% 4.25/0.90 % (3133717)Time elapsed: 0.016 s
% 4.25/0.90 % (3133717)Peak memory usage: 10 MB
% 4.25/0.90 % (3133717)Instructions burned: 36 (million)
% 4.25/0.90 % (3133721)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.25/0.90 % (3133721)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2542546568:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.25/0.90 % (3133718)Instruction limit reached!
% 4.25/0.90 % (3133718)------------------------------
% 4.25/0.90 % (3133718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133718)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133718)Termination reason: Instruction limit
% 4.25/0.90 % (3133718)Termination phase: Property scanning
% 4.25/0.90 % (3133718)Time elapsed: 0.031 s
% 4.25/0.90 % (3133718)Peak memory usage: 12 MB
% 4.25/0.90 % (3133718)Instructions burned: 69 (million)
% 4.25/0.90 % (3133714)Instruction limit reached!
% 4.25/0.90 % (3133714)------------------------------
% 4.25/0.90 % (3133714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133714)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133714)Termination reason: Instruction limit
% 4.25/0.90 % (3133714)Termination phase: Saturation
% 4.25/0.90 % (3133714)Time elapsed: 0.063 s
% 4.25/0.90 % (3133714)Peak memory usage: 14 MB
% 4.25/0.90 % (3133714)Instructions burned: 137 (million)
% 4.25/0.90 % (3133694)Instruction limit reached!
% 4.25/0.90 % (3133694)------------------------------
% 4.25/0.90 % (3133694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133694)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133694)Termination reason: Instruction limit
% 4.25/0.90 % (3133694)Termination phase: Saturation
% 4.25/0.90 % (3133694)Time elapsed: 0.183 s
% 4.25/0.90 % (3133694)Peak memory usage: 16 MB
% 4.25/0.90 % (3133694)Instructions burned: 317 (million)
% 4.25/0.90 % (3133723)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4103248239:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.25/0.90 % (3133724)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1310844261:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 4.25/0.90 % (3133725)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2368352423:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 4.25/0.90 % (3133696) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3133608-3133696"...
% 4.25/0.90 % (3133696)...printing done.
% 4.25/0.90 % (3133696)Refutation found. Thanks to Tanya!
% 4.25/0.90 % SZS status Theorem for theBenchmark
% 4.25/0.90 % SZS output start Proof for theBenchmark
% 4.25/0.90 thf(type_def_5, type, i: $tType).
% 4.25/0.90 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 4.25/0.90 thf(type_def_7, type, formula: $tType > $tType).
% 4.25/0.90 thf(type_def_8, type, prefix: $tType > $tType).
% 4.25/0.90 thf(type_def_9, type, trace: $tType > $tType).
% 4.25/0.90 thf(type_def_10, type, char: $tType).
% 4.25/0.90 thf(type_def_11, type, list: $tType > $tType).
% 4.25/0.90 thf(type_def_12, type, nat: $tType).
% 4.25/0.90 thf(type_def_13, type, a: $tType).
% 4.25/0.90 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 4.25/0.90 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_4, type, group_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_5, type, no_bot: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_6, type, no_top: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_9, type, wellorder: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_11, type, dense_order: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_12, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_13, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_14, type, dense_linorder: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_15, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_16, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_17, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_18, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_19, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_20, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_21, type, unique1598680935umeral: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_22, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_23, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 4.25/0.90 thf(func_def_24, type, abstra417776764axioms: !>[X0: $tType, X1: $tType]:(((trace @ X0 > list @ X1 > nat > $o) > (prefix @ X0 > nat) > $o))).
% 4.25/0.90 thf(func_def_25, type, one_one: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_26, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_27, type, lattices_ord_arg_max: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_28, type, until: !>[X0: $tType]:((formula @ X0 > i > formula @ X0 > formula @ X0))).
% 4.25/0.90 thf(func_def_29, type, sat: !>[X0: $tType]:((trace @ product_prod @ list @ char @ list @ X0 > list @ X0 > nat > formula @ X0 > $o))).
% 4.25/0.90 thf(func_def_30, type, monito2027355080ogress: !>[X0: $tType]:((trace @ product_prod @ list @ char @ list @ X0 > formula @ X0 > nat > nat))).
% 4.25/0.90 thf(func_def_31, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.25/0.90 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.25/0.90 thf(func_def_33, type, tau: !>[X0: $tType]:((trace @ X0 > nat > nat))).
% 4.25/0.90 thf(func_def_34, type, plen: !>[X0: $tType]:((prefix @ X0 > nat))).
% 4.25/0.90 thf(func_def_35, type, prefix_of: !>[X0: $tType]:((prefix @ X0 > trace @ X0 > $o))).
% 4.25/0.90 thf(func_def_36, type, i2: i).
% 4.25/0.90 thf(func_def_37, type, phi: formula @ a).
% 4.25/0.90 thf(func_def_38, type, phi_1: formula @ a).
% 4.25/0.90 thf(func_def_39, type, phi_2: formula @ a).
% 4.25/0.90 thf(func_def_40, type, pi: prefix @ product_prod @ list @ char @ list @ a).
% 4.25/0.90 thf(func_def_41, type, sigma: trace @ product_prod @ list @ char @ list @ a).
% 4.25/0.90 thf(func_def_42, type, sigma2: trace @ product_prod @ list @ char @ list @ a).
% 4.25/0.90 thf(func_def_43, type, b: nat).
% 4.25/0.90 thf(func_def_44, type, i3: nat).
% 4.25/0.90 thf(func_def_45, type, ia: nat).
% 4.25/0.90 thf(func_def_46, type, j: nat).
% 4.25/0.90 thf(func_def_47, type, ja: nat).
% 4.25/0.90 thf(func_def_48, type, k: nat).
% 4.25/0.90 thf(func_def_52, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.25/0.90 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 4.25/0.90 thf(func_def_54, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.25/0.90 thf(func_def_55, type, vIMP: ($o > $o > $o)).
% 4.25/0.90 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_57, type, db1: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_58, type, vNOT: ($o > $o)).
% 4.25/0.90 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.25/0.90 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.25/0.90 thf(func_def_62, type, vOR: ($o > $o > $o)).
% 4.25/0.90 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_64, type, db4: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_65, type, db5: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_66, type, db6: !>[X0: $tType]:(X0)).
% 4.25/0.90 thf(func_def_67, type, sK0: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_68, type, sK1: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_69, type, sK2: !>[X0: $tType]:((nat > nat > trace @ X0 > nat))).
% 4.25/0.90 thf(func_def_70, type, sK3: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_71, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_72, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > nat > X0))).
% 4.25/0.90 thf(func_def_73, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_74, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_75, type, sK8: !>[X0: $tType]:((X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_76, type, sK9: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_77, type, sK10: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_78, type, sK11: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_79, type, sK12: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_80, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_81, type, sK14: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_82, type, sK15: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_83, type, sK16: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_84, type, sK17: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_85, type, sK18: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_86, type, sK19: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_87, type, sK20: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_88, type, sK21: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_89, type, sK22: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_90, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_91, type, sK24: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_92, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_93, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_94, type, sK27: !>[X0: $tType]:((X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_95, type, sK28: ((nat > $o) > nat > nat)).
% 4.25/0.90 thf(func_def_96, type, sK29: ((nat > $o) > nat > nat)).
% 4.25/0.90 thf(func_def_97, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1 > X1))).
% 4.25/0.90 thf(func_def_98, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > (X1 > $o) > X1))).
% 4.25/0.90 thf(func_def_99, type, sK32: !>[X0: $tType]:((nat > (X0 > $o) > (X0 > nat) > X0))).
% 4.25/0.90 thf(func_def_100, type, sK33: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_101, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_102, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_103, type, sK36: !>[X0: $tType]:((prefix @ X0 > trace @ X0))).
% 4.25/0.90 thf(func_def_104, type, sK37: !>[X0: $tType]:((X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_105, type, sK38: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_106, type, sK39: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 4.25/0.90 thf(func_def_107, type, sK40: ((nat > nat) > nat)).
% 4.25/0.90 thf(func_def_108, type, sK41: ((nat > nat) > nat)).
% 4.25/0.90 thf(func_def_109, type, sK42: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_110, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_111, type, sK44: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_112, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_113, type, sK46: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_114, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_115, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_116, type, sK49: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_117, type, sK50: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_118, type, sK51: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_119, type, sK52: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 4.25/0.90 thf(func_def_120, type, sK53: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_121, type, sK54: (nat > nat > nat)).
% 4.25/0.90 thf(func_def_122, type, sK55: nat).
% 4.25/0.90 thf(func_def_123, type, sK56: !>[X0: $tType]:(((X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_124, type, sK57: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_125, type, sK58: !>[X0: $tType]:((trace @ product_prod @ list @ char @ list @ X0 > nat > trace @ product_prod @ list @ char @ list @ X0 > nat))).
% 4.25/0.90 thf(func_def_126, type, sK59: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_127, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_128, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_129, type, sK62: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_130, type, sK63: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_131, type, sK64: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_132, type, sK65: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_133, type, sK66: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_134, type, sK67: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 4.25/0.90 thf(func_def_135, type, sK68: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 4.25/0.90 thf(func_def_136, type, sK69: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_137, type, sK70: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_138, type, sK71: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_139, type, sK72: !>[X0: $tType]:(((X0 > nat) > nat > (X0 > $o) > X0 > X0))).
% 4.25/0.90 thf(func_def_140, type, sK73: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_141, type, sK74: ((nat > nat) > nat)).
% 4.25/0.90 thf(func_def_142, type, sK75: ((nat > nat) > nat)).
% 4.25/0.90 thf(func_def_143, type, sK76: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_144, type, sK77: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.25/0.90 thf(func_def_145, type, sK78: !>[X0: $tType]:((X0 > X0 > X0))).
% 4.25/0.90 thf(func_def_146, type, sK79: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 4.25/0.90 thf(func_def_147, type, sK80: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > nat > X0))).
% 4.25/0.90 thf(func_def_148, type, sK81: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > nat > X0))).
% 4.25/0.90 thf(func_def_149, type, sK82: nat).
% 4.25/0.90 thf(func_def_150, type, sK83: ((nat > $o) > nat > nat)).
% 4.25/0.90 thf(func_def_151, type, sK84: ((nat > $o) > nat)).
% 4.25/0.90 thf(func_def_152, type, sK85: ((nat > $o) > nat)).
% 4.25/0.90 thf(func_def_153, type, sK86: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_154, type, sK87: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_155, type, sK88: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_156, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.25/0.90 thf(func_def_157, type, sK90: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_158, type, sK91: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 4.25/0.90 thf(func_def_159, type, sK92: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_160, type, sK93: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_161, type, sK94: !>[X0: $tType]:(((prefix @ X0 > nat) > nat))).
% 4.25/0.90 thf(func_def_162, type, sK95: !>[X0: $tType]:(((prefix @ X0 > nat) > trace @ X0))).
% 4.25/0.90 thf(func_def_163, type, sK96: !>[X0: $tType, X1: $tType]:(((prefix @ X0 > nat) > (trace @ X0 > list @ X1 > nat > $o) > prefix @ X0))).
% 4.25/0.90 thf(func_def_164, type, sK97: !>[X0: $tType, X1: $tType]:(((prefix @ X0 > nat) > (trace @ X0 > list @ X1 > nat > $o) > list @ X1))).
% 4.25/0.90 thf(func_def_165, type, sK98: !>[X0: $tType, X1: $tType]:(((prefix @ X0 > nat) > (trace @ X0 > list @ X1 > nat > $o) > nat))).
% 4.25/0.90 thf(func_def_166, type, sK99: !>[X0: $tType, X1: $tType]:(((prefix @ X0 > nat) > (trace @ X0 > list @ X1 > nat > $o) > trace @ X0))).
% 4.25/0.90 thf(func_def_167, type, sK100: !>[X0: $tType, X1: $tType]:(((prefix @ X0 > nat) > (trace @ X0 > list @ X1 > nat > $o) > trace @ X0))).
% 4.25/0.90 thf(func_def_168, type, sK101: !>[X0: $tType]:(((prefix @ X0 > nat) > prefix @ X0))).
% 4.25/0.90 thf(func_def_169, type, sK102: !>[X0: $tType]:(((prefix @ X0 > nat) > prefix @ X0))).
% 4.25/0.90 thf(func_def_170, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_171, type, sK104: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_172, type, sK105: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_173, type, sK106: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_174, type, sK107: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.25/0.90 thf(func_def_175, type, sK108: ((nat > $o) > nat)).
% 4.25/0.90 thf(func_def_176, type, sK109: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(func_def_177, type, sK110: !>[X0: $tType]:((X0 > X0))).
% 4.25/0.90 thf(f1,axiom,(
% 4.25/0.90 (ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__pzlrlsievl_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062)).
% 4.25/0.90 thf(f4,axiom,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : ((ord_less @ nat @ X0 @ X1) | (ord_less @ nat @ X1 @ X0) = (X0 != X1))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_nat__neq__iff)).
% 4.25/0.90 thf(f8,axiom,(
% 4.25/0.90 ! [X0 : nat] : ~(ord_less @ nat @ X0 @ X0)),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_less__irrefl__nat)).
% 4.25/0.90 thf(f18,axiom,(
% 4.25/0.90 ! [X1 : nat,X0 : nat,X2 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => ((ord_less_eq @ nat @ X1 @ X2) => (ord_less_eq @ nat @ X0 @ X2)))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_le__trans)).
% 4.25/0.90 thf(f20,axiom,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => ((ord_less_eq @ nat @ X1 @ X0) => (X0 = X1)))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_le__antisym)).
% 4.25/0.90 thf(f23,axiom,(
% 4.25/0.90 ! [X0 : $tType,X3 : nat,X1 : trace @ product_prod @ list @ char @ list @ X0,X2 : formula @ X0] : (ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X1 @ X2 @ X3) @ X3)),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_progress__le)).
% 4.25/0.90 thf(f31,axiom,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : (((ord_less @ nat @ X0 @ X1) | (X0 = X1)) => (ord_less_eq @ nat @ X0 @ X1))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_less__or__eq__imp__le)).
% 4.25/0.90 thf(f153,axiom,(
% 4.25/0.90 ! [X0 : $tType] : (order @ X0 => ! [X3 : X0,X1 : X0,X2 : X0] : ((ord_less_eq @ X0 @ X1 @ X2) => ((ord_less @ X0 @ X3 @ X1) => (ord_less @ X0 @ X3 @ X2))))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_dual__order_Ostrict__trans1)).
% 4.25/0.90 thf(f274,axiom,(
% 4.25/0.90 order @ nat),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_2)).
% 4.25/0.90 thf(f293,conjecture,(
% 4.25/0.90 (ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))),
% 4.25/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 4.25/0.90 thf(f294,negated_conjecture,(
% 4.25/0.90 ~(ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))),
% 4.25/0.90 inference(negated_conjecture,[status(cth)],[f293])).
% 4.25/0.90 thf(f315,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat,X2 : nat] : ((ord_less_eq @ nat @ X1 @ X0) => ((ord_less_eq @ nat @ X0 @ X2) => (ord_less_eq @ nat @ X1 @ X2)))),
% 4.25/0.90 inference(rectify,[],[f18])).
% 4.25/0.90 thf(f316,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat,X2 : nat] : ((((ord_less_eq @ nat @ X1 @ X0)) = $true) => ((((ord_less_eq @ nat @ X0 @ X2)) = $true) => (((ord_less_eq @ nat @ X1 @ X2)) = $true)))),
% 4.25/0.90 inference(fool_elimination,[],[f315])).
% 4.25/0.90 thf(f513,plain,(
% 4.25/0.90 order @ nat),
% 4.25/0.90 inference(rectify,[],[f274])).
% 4.25/0.90 thf(f514,plain,(
% 4.25/0.90 (order @ nat = $true)),
% 4.25/0.90 inference(fool_elimination,[],[f513])).
% 4.25/0.90 thf(f529,plain,(
% 4.25/0.90 ! [X0 : nat] : ~(ord_less @ nat @ X0 @ X0)),
% 4.25/0.90 inference(rectify,[],[f8])).
% 4.25/0.90 thf(f530,plain,(
% 4.25/0.90 ! [X0 : nat] : ~ (((ord_less @ nat @ X0 @ X0)) = $true)),
% 4.25/0.90 inference(fool_elimination,[],[f529])).
% 4.25/0.90 thf(f545,plain,(
% 4.25/0.90 ~(ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))),
% 4.25/0.90 inference(rectify,[],[f294])).
% 4.25/0.90 thf(f546,plain,(
% 4.25/0.90 ~ (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $true)),
% 4.25/0.90 inference(fool_elimination,[],[f545])).
% 4.25/0.90 thf(f551,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X1 @ X0) => ((ord_less_eq @ nat @ X0 @ X1) => (X0 = X1)))),
% 4.25/0.90 inference(rectify,[],[f20])).
% 4.25/0.90 thf(f552,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X1 @ X0)) = $true) => ((((ord_less_eq @ nat @ X0 @ X1)) = $true) => (X0 = X1)))),
% 4.25/0.90 inference(fool_elimination,[],[f551])).
% 4.25/0.90 thf(f571,plain,(
% 4.25/0.90 ! [X0 : $tType] : (order @ X0 => ! [X1 : X0,X2 : X0,X3 : X0] : ((ord_less_eq @ X0 @ X2 @ X3) => ((ord_less @ X0 @ X1 @ X2) => (ord_less @ X0 @ X1 @ X3))))),
% 4.25/0.90 inference(rectify,[],[f153])).
% 4.25/0.90 thf(f572,plain,(
% 4.25/0.90 ! [X0 : $tType] : ((order @ X0 = $true) => ! [X3 : X0,X1 : X0,X2 : X0] : ((((ord_less_eq @ X0 @ X2 @ X3)) = $true) => ((((ord_less @ X0 @ X1 @ X2)) = $true) => (((ord_less @ X0 @ X1 @ X3)) = $true))))),
% 4.25/0.90 inference(fool_elimination,[],[f571])).
% 4.25/0.90 thf(f585,plain,(
% 4.25/0.90 ! [X0 : $tType,X1 : nat,X2 : trace @ product_prod @ list @ char @ list @ X0,X3 : formula @ X0] : (ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X2 @ X3 @ X1) @ X1)),
% 4.25/0.90 inference(rectify,[],[f23])).
% 4.25/0.90 thf(f586,plain,(
% 4.25/0.90 ! [X0 : $tType,X1 : nat,X3 : formula @ X0,X2 : trace @ product_prod @ list @ char @ list @ X0] : ($true = ((ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X2 @ X3 @ X1) @ X1)))),
% 4.25/0.90 inference(fool_elimination,[],[f585])).
% 4.25/0.90 thf(f634,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : (((ord_less @ nat @ X0 @ X1) | (X0 = X1)) => (ord_less_eq @ nat @ X0 @ X1))),
% 4.25/0.90 inference(rectify,[],[f31])).
% 4.25/0.90 thf(f635,plain,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : (((X0 = X1) | (((ord_less @ nat @ X0 @ X1)) = $true)) => (((ord_less_eq @ nat @ X0 @ X1)) = $true))),
% 4.25/0.90 inference(fool_elimination,[],[f634])).
% 4.25/0.90 thf(f724,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : ((ord_less @ nat @ X1 @ X0) | (ord_less @ nat @ X0 @ X1) = (X0 != X1))),
% 4.25/0.90 inference(rectify,[],[f4])).
% 4.25/0.90 thf(f725,plain,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : ((X0 != X1) <=> ((((ord_less @ nat @ X0 @ X1)) = $true) | (((ord_less @ nat @ X1 @ X0)) = $true)))),
% 4.25/0.90 inference(fool_elimination,[],[f724])).
% 4.25/0.90 thf(f762,plain,(
% 4.25/0.90 (ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))),
% 4.25/0.90 inference(rectify,[],[f1])).
% 4.25/0.90 thf(f763,plain,(
% 4.25/0.90 (((ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) = $true)),
% 4.25/0.90 inference(fool_elimination,[],[f762])).
% 4.25/0.90 thf(f893,plain,(
% 4.25/0.90 ! [X0 : nat] : (((ord_less @ nat @ X0 @ X0)) != $true)),
% 4.25/0.90 inference(flattening,[],[f530])).
% 4.25/0.90 thf(f897,plain,(
% 4.25/0.90 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) != $true)),
% 4.25/0.90 inference(flattening,[],[f546])).
% 4.25/0.90 thf(f926,plain,(
% 4.25/0.90 ! [X0 : $tType] : (! [X3 : X0,X1 : X0,X2 : X0] : (((((ord_less @ X0 @ X1 @ X3)) = $true) | (((ord_less @ X0 @ X1 @ X2)) != $true)) | (((ord_less_eq @ X0 @ X2 @ X3)) != $true)) | (order @ X0 != $true))),
% 4.25/0.90 inference(ennf_transformation,[],[f572])).
% 4.25/0.90 thf(f927,plain,(
% 4.25/0.90 ! [X0 : $tType] : ((order @ X0 != $true) | ! [X2 : X0,X3 : X0,X1 : X0] : ((((ord_less_eq @ X0 @ X2 @ X3)) != $true) | (((ord_less @ X0 @ X1 @ X2)) != $true) | (((ord_less @ X0 @ X1 @ X3)) = $true)))),
% 4.25/0.90 inference(flattening,[],[f926])).
% 4.25/0.90 thf(f959,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : (((X0 = X1) | (((ord_less_eq @ nat @ X0 @ X1)) != $true)) | (((ord_less_eq @ nat @ X1 @ X0)) != $true))),
% 4.25/0.90 inference(ennf_transformation,[],[f552])).
% 4.25/0.90 thf(f960,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X1 @ X0)) != $true) | (X0 = X1) | (((ord_less_eq @ nat @ X0 @ X1)) != $true))),
% 4.25/0.90 inference(flattening,[],[f959])).
% 4.25/0.90 thf(f1127,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat,X2 : nat] : (((((ord_less_eq @ nat @ X1 @ X2)) = $true) | (((ord_less_eq @ nat @ X0 @ X2)) != $true)) | (((ord_less_eq @ nat @ X1 @ X0)) != $true))),
% 4.25/0.90 inference(ennf_transformation,[],[f316])).
% 4.25/0.90 thf(f1128,plain,(
% 4.25/0.90 ! [X2 : nat,X1 : nat,X0 : nat] : ((((ord_less_eq @ nat @ X0 @ X2)) != $true) | (((ord_less_eq @ nat @ X1 @ X0)) != $true) | (((ord_less_eq @ nat @ X1 @ X2)) = $true))),
% 4.25/0.90 inference(flattening,[],[f1127])).
% 4.25/0.90 thf(f1190,plain,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : ((((ord_less_eq @ nat @ X0 @ X1)) = $true) | ((((ord_less @ nat @ X0 @ X1)) != $true) & (X0 != X1)))),
% 4.25/0.90 inference(ennf_transformation,[],[f635])).
% 4.25/0.90 thf(f1244,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X1 @ X0)) = $true) | ((((ord_less @ nat @ X1 @ X0)) != $true) & (X0 != X1)))),
% 4.25/0.90 inference(rectify,[],[f1190])).
% 4.25/0.90 thf(f1295,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat,X2 : nat] : (($true != ((ord_less_eq @ nat @ X2 @ X0))) | (((ord_less_eq @ nat @ X1 @ X2)) != $true) | (((ord_less_eq @ nat @ X1 @ X0)) = $true))),
% 4.25/0.90 inference(rectify,[],[f1128])).
% 4.25/0.90 thf(f1329,plain,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : (((X0 != X1) | ((((ord_less @ nat @ X0 @ X1)) != $true) & (((ord_less @ nat @ X1 @ X0)) != $true))) & (((((ord_less @ nat @ X0 @ X1)) = $true) | (((ord_less @ nat @ X1 @ X0)) = $true)) | (X0 = X1)))),
% 4.25/0.90 inference(nnf_transformation,[],[f725])).
% 4.25/0.90 thf(f1330,plain,(
% 4.25/0.90 ! [X1 : nat,X0 : nat] : (((X0 != X1) | ((((ord_less @ nat @ X0 @ X1)) != $true) & (((ord_less @ nat @ X1 @ X0)) != $true))) & ((((ord_less @ nat @ X0 @ X1)) = $true) | (((ord_less @ nat @ X1 @ X0)) = $true) | (X0 = X1)))),
% 4.25/0.90 inference(flattening,[],[f1329])).
% 4.25/0.90 thf(f1331,plain,(
% 4.25/0.90 ! [X0 : nat,X1 : nat] : (((X0 != X1) | ((((ord_less @ nat @ X1 @ X0)) != $true) & (((ord_less @ nat @ X0 @ X1)) != $true))) & ((((ord_less @ nat @ X1 @ X0)) = $true) | (((ord_less @ nat @ X0 @ X1)) = $true) | (X0 = X1)))),
% 4.25/0.90 inference(rectify,[],[f1330])).
% 4.25/0.90 thf(f1343,plain,(
% 4.25/0.90 ! [X0 : $tType,X1 : nat,X2 : formula @ X0,X3 : trace @ product_prod @ list @ char @ list @ X0] : ($true = ((ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X3 @ X2 @ X1) @ X1)))),
% 4.25/0.90 inference(rectify,[],[f586])).
% 4.25/0.90 thf(f1383,plain,(
% 4.25/0.90 ! [X0 : $tType] : ((order @ X0 != $true) | ! [X1 : X0,X2 : X0,X3 : X0] : ((((ord_less_eq @ X0 @ X1 @ X2)) != $true) | (((ord_less @ X0 @ X3 @ X1)) != $true) | (((ord_less @ X0 @ X3 @ X2)) = $true)))),
% 4.25/0.90 inference(rectify,[],[f927])).
% 4.25/0.90 thf(f1496,plain,(
% 4.25/0.90 ( ! [X0 : nat,X1 : nat] : ((((ord_less @ nat @ X1 @ X0)) != $true) | (((ord_less_eq @ nat @ X1 @ X0)) = $true)) )),
% 4.25/0.90 inference(cnf_transformation,[],[f1244])).
% 4.25/0.90 thf(f1586,plain,(
% 4.25/0.90 ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true != ((ord_less_eq @ nat @ X2 @ X0))) | (((ord_less_eq @ nat @ X1 @ X0)) = $true) | (((ord_less_eq @ nat @ X1 @ X2)) != $true)) )),
% 4.25/0.90 inference(cnf_transformation,[],[f1295])).
% 4.25/0.90 thf(f1624,plain,(
% 4.25/0.90 (((ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) = $true)),
% 4.25/0.90 inference(cnf_transformation,[],[f763])).
% 4.25/0.90 thf(f1633,plain,(
% 4.25/0.90 ( ! [X0 : nat,X1 : nat] : ((((ord_less @ nat @ X1 @ X0)) = $true) | (((ord_less @ nat @ X0 @ X1)) = $true) | (X0 = X1)) )),
% 4.25/0.90 inference(cnf_transformation,[],[f1331])).
% 4.25/0.90 thf(f1657,plain,(
% 4.25/0.90 ( ! [X0 : $tType,X2 : formula @ X0,X3 : trace @ product_prod @ list @ char @ list @ X0,X1 : nat] : (($true = ((ord_less_eq @ nat @ (monito2027355080ogress @ X0 @ X3 @ X2 @ X1) @ X1)))) )),
% 4.25/0.90 inference(cnf_transformation,[],[f1343])).
% 4.25/0.90 thf(f1668,plain,(
% 4.25/0.90 (order @ nat = $true)),
% 4.25/0.90 inference(cnf_transformation,[],[f514])).
% 4.25/0.90 thf(f1679,plain,(
% 4.25/0.90 ( ! [X0 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X1 @ X0)) != $true) | (X0 = X1) | (((ord_less_eq @ nat @ X0 @ X1)) != $true)) )),
% 4.25/0.90 inference(cnf_transformation,[],[f960])).
% 4.25/0.90 thf(f1732,plain,(
% 4.25/0.90 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((order @ X0 != $true) | (((ord_less @ X0 @ X3 @ X2)) = $true) | (((ord_less @ X0 @ X3 @ X1)) != $true) | (((ord_less_eq @ X0 @ X1 @ X2)) != $true)) )),
% 4.25/0.90 inference(cnf_transformation,[],[f1383])).
% 4.25/0.90 thf(f1971,plain,(
% 4.25/0.90 ( ! [X0 : nat] : ((((ord_less @ nat @ X0 @ X0)) != $true)) )),
% 4.25/0.90 inference(cnf_transformation,[],[f893])).
% 4.25/0.90 thf(f1985,plain,(
% 4.25/0.90 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) != $true)),
% 4.25/0.90 inference(cnf_transformation,[],[f897])).
% 4.25/0.90 thf(f2339,definition,(
% 4.25/0.90 spl111_8 <=> (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) = $true)),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_8])],[avatar_definition])).
% 4.25/0.90 thf(f2341,plain,(
% 4.25/0.90 (((ord_less @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))) != $true) | spl111_8),
% 4.25/0.90 inference(avatar_component_clause,[],[f2339])).
% 4.25/0.90 thf(f2342,plain,(
% 4.25/0.90 ~spl111_8),
% 4.25/0.90 inference(avatar_split_clause,[],[f1985,f2339])).
% 4.25/0.90 thf(f2389,definition,(
% 4.25/0.90 spl111_18 <=> (order @ nat = $true)),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_18])],[avatar_definition])).
% 4.25/0.90 thf(f2391,plain,(
% 4.25/0.90 (order @ nat = $true) | ~spl111_18),
% 4.25/0.90 inference(avatar_component_clause,[],[f2389])).
% 4.25/0.90 thf(f2392,plain,(
% 4.25/0.90 spl111_18),
% 4.25/0.90 inference(avatar_split_clause,[],[f1668,f2389])).
% 4.25/0.90 thf(f2474,definition,(
% 4.25/0.90 spl111_35 <=> (((ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) = $true)),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_35])],[avatar_definition])).
% 4.25/0.90 thf(f2476,plain,(
% 4.25/0.90 (((ord_less @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) = $true) | ~spl111_35),
% 4.25/0.90 inference(avatar_component_clause,[],[f2474])).
% 4.25/0.90 thf(f2477,plain,(
% 4.25/0.90 spl111_35),
% 4.25/0.90 inference(avatar_split_clause,[],[f1624,f2474])).
% 4.25/0.90 thf(f2598,plain,(
% 4.25/0.90 ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k))) | ($true != $true) | (k = ((plen @ product_prod @ list @ char @ list @ a @ pi))) | spl111_8),
% 4.25/0.90 inference(superposition,[],[f2341,f1633])).
% 4.25/0.90 thf(f2601,plain,(
% 4.25/0.90 (k = ((plen @ product_prod @ list @ char @ list @ a @ pi))) | ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k))) | spl111_8),
% 4.25/0.90 inference(trivial_inequality_removal,[],[f2598])).
% 4.25/0.90 thf(f2604,definition,(
% 4.25/0.90 spl111_53 <=> (k = ((plen @ product_prod @ list @ char @ list @ a @ pi)))),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_53])],[avatar_definition])).
% 4.25/0.90 thf(f2606,plain,(
% 4.25/0.90 (k = ((plen @ product_prod @ list @ char @ list @ a @ pi))) | ~spl111_53),
% 4.25/0.90 inference(avatar_component_clause,[],[f2604])).
% 4.25/0.90 thf(f2608,definition,(
% 4.25/0.90 spl111_54 <=> ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k)))),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_54])],[avatar_definition])).
% 4.25/0.90 thf(f2610,plain,(
% 4.25/0.90 ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k))) | ~spl111_54),
% 4.25/0.90 inference(avatar_component_clause,[],[f2608])).
% 4.25/0.90 thf(f2611,plain,(
% 4.25/0.90 spl111_53 | spl111_54 | spl111_8),
% 4.25/0.90 inference(avatar_split_clause,[],[f2601,f2339,f2608,f2604])).
% 4.25/0.90 thf(f2612,plain,(
% 4.25/0.90 ($true = ((ord_less_eq @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k))) | ~spl111_54),
% 4.25/0.90 inference(unit_resulting_resolution,[],[f1496,f2610])).
% 4.25/0.90 thf(f2616,definition,(
% 4.25/0.90 spl111_55 <=> ($true = ((ord_less_eq @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k)))),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_55])],[avatar_definition])).
% 4.25/0.90 thf(f2618,plain,(
% 4.25/0.90 ($true = ((ord_less_eq @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ k))) | ~spl111_55),
% 4.25/0.90 inference(avatar_component_clause,[],[f2616])).
% 4.25/0.90 thf(f2619,plain,(
% 4.25/0.90 spl111_55 | ~spl111_54),
% 4.25/0.90 inference(avatar_split_clause,[],[f2612,f2608,f2616])).
% 4.25/0.90 thf(f2622,plain,(
% 4.25/0.90 (k = ((plen @ product_prod @ list @ char @ list @ a @ pi))) | ($true != $true) | ($true != ((ord_less_eq @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) | ~spl111_55),
% 4.25/0.90 inference(superposition,[],[f1679,f2618])).
% 4.25/0.90 thf(f2624,plain,(
% 4.25/0.90 (k = ((plen @ product_prod @ list @ char @ list @ a @ pi))) | ($true != ((ord_less_eq @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) | ~spl111_55),
% 4.25/0.90 inference(trivial_inequality_removal,[],[f2622])).
% 4.25/0.90 thf(f2627,definition,(
% 4.25/0.90 spl111_56 <=> ($true = ((ord_less_eq @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi))))),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_56])],[avatar_definition])).
% 4.25/0.90 thf(f2630,plain,(
% 4.25/0.90 ~spl111_56 | spl111_53 | ~spl111_55),
% 4.25/0.90 inference(avatar_split_clause,[],[f2624,f2616,f2604,f2627])).
% 4.25/0.90 thf(f2646,plain,(
% 4.25/0.90 ($true = ((ord_less_eq @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi))))) | ~spl111_35),
% 4.25/0.90 inference(unit_resulting_resolution,[],[f1496,f2476])).
% 4.25/0.90 thf(f2650,definition,(
% 4.25/0.90 spl111_57 <=> ($true = ((ord_less_eq @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))))),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_57])],[avatar_definition])).
% 4.25/0.90 thf(f2652,plain,(
% 4.25/0.90 ($true = ((ord_less_eq @ nat @ k @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi))))) | ~spl111_57),
% 4.25/0.90 inference(avatar_component_clause,[],[f2650])).
% 4.25/0.90 thf(f2653,plain,(
% 4.25/0.90 spl111_57 | ~spl111_35),
% 4.25/0.90 inference(avatar_split_clause,[],[f2646,f2474,f2650])).
% 4.25/0.90 thf(f5115,plain,(
% 4.25/0.90 ($true = ((ord_less_eq @ nat @ k @ (plen @ product_prod @ list @ char @ list @ a @ pi)))) | ~spl111_57),
% 4.25/0.90 inference(unit_resulting_resolution,[],[f1586,f2652,f1657])).
% 4.25/0.90 thf(f5186,plain,(
% 4.25/0.90 spl111_56 | ~spl111_57),
% 4.25/0.90 inference(avatar_split_clause,[],[f5115,f2650,f2627])).
% 4.25/0.90 thf(f5293,plain,(
% 4.25/0.90 ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi))))) | (~spl111_35 | ~spl111_53)),
% 4.25/0.90 inference(backward_demodulation,[],[f2476,f2606])).
% 4.25/0.90 thf(f5347,definition,(
% 4.25/0.90 spl111_212 <=> ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi)))))),
% 4.25/0.90 introduced(definition,[new_symbols(definition,[spl111_212])],[avatar_definition])).
% 4.25/0.90 thf(f5349,plain,(
% 4.25/0.90 ($true = ((ord_less @ nat @ (plen @ product_prod @ list @ char @ list @ a @ pi) @ (monito2027355080ogress @ a @ sigma @ phi_1 @ (plen @ product_prod @ list @ char @ list @ a @ pi))))) | ~spl111_212),
% 4.25/0.90 inference(avatar_component_clause,[],[f5347])).
% 4.25/0.90 thf(f5350,plain,(
% 4.25/0.90 spl111_212 | ~spl111_35 | ~spl111_53),
% 4.25/0.90 inference(avatar_split_clause,[],[f5293,f2604,f2474,f5347])).
% 4.25/0.90 thf(f5477,plain,(
% 4.25/0.90 (order @ nat != $true) | ~spl111_212),
% 4.25/0.90 inference(unit_resulting_resolution,[],[f1732,f1657,f5349,f1971])).
% 4.25/0.90 thf(f5514,plain,(
% 4.25/0.90 $false | (~spl111_18 | ~spl111_212)),
% 4.25/0.90 inference(forward_subsumption_resolution,[],[f5477,f2391])).
% 4.25/0.90 thf(f5515,plain,(
% 4.25/0.90 ~spl111_18 | ~spl111_212),
% 4.25/0.90 inference(avatar_contradiction_clause,[],[f5514])).
% 4.25/0.90 cnf(s8, plain, ~spl111_8, inference(sat_conversion,[],[f2342])).
% 4.25/0.90 cnf(s18, plain, spl111_18, inference(sat_conversion,[],[f2392])).
% 4.25/0.90 cnf(s35, plain, spl111_35, inference(sat_conversion,[],[f2477])).
% 4.25/0.90 cnf(s55, plain, spl111_8 | spl111_53 | spl111_54, inference(sat_conversion,[],[f2611])).
% 4.25/0.90 cnf(s56, plain, ~spl111_54 | spl111_55, inference(sat_conversion,[],[f2619])).
% 4.25/0.90 cnf(s58, plain, spl111_53 | ~spl111_55 | ~spl111_56, inference(sat_conversion,[],[f2630])).
% 4.25/0.90 cnf(s59, plain, ~spl111_35 | spl111_57, inference(sat_conversion,[],[f2653])).
% 4.25/0.90 cnf(s284, plain, spl111_56 | ~spl111_57, inference(sat_conversion,[],[f5186])).
% 4.25/0.90 cnf(s412, plain, ~spl111_35 | ~spl111_53 | spl111_212, inference(sat_conversion,[],[f5350])).
% 4.25/0.90 cnf(s430, plain, ~spl111_18 | ~spl111_212, inference(sat_conversion,[],[f5515])).
% 4.25/0.90 cnf(s437, plain, spl111_57, inference(rat,[],[s59,s35])).
% 4.25/0.90 cnf(s438, plain, spl111_56, inference(rat,[],[s284,s437])).
% 4.25/0.90 cnf(s476, plain, ~spl111_212, inference(rat,[],[s430,s18])).
% 4.25/0.90 cnf(s482, plain, ~spl111_53, inference(rat,[],[s412,s35,s476])).
% 4.25/0.90 cnf(s510, plain, ~spl111_55, inference(rat,[],[s58,s438,s482])).
% 4.25/0.90 cnf(s511, plain, ~spl111_54, inference(rat,[],[s56,s510])).
% 4.25/0.90 cnf(s512, plain, spl111_8, inference(rat,[],[s55,s482,s511])).
% 4.25/0.90 cnf(s513, plain, $false, inference(rat,[],[s8,s512])).
% 4.25/0.90 thf(f5521,plain,(
% 4.25/0.90 $false),
% 4.25/0.90 inference(avatar_sat_refutation,[],[s513])).
% 4.25/0.90 % SZS output end Proof for theBenchmark
% 4.25/0.90 % (3133696)------------------------------
% 4.25/0.90 % (3133696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/0.90 % (3133696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/0.90 % (3133696)CaDiCaL version: 2.1.3
% 4.25/0.90 % (3133696)Termination reason: Refutation
% 4.25/0.90 % (3133696)Time elapsed: 0.224 s
% 4.25/0.90 % (3133696)Peak memory usage: 17 MB
% 4.25/0.90 % (3133696)Instructions burned: 420 (million)
% 4.25/0.90 % (3133608)Success in time 0.601 s
% 4.25/0.90 % Vampire exiting
%------------------------------------------------------------------------------