%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP059^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:08:09 AM UTC 2026
% Result : Theorem 3.16s 0.81s
% Output : Refutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP059^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:45:24 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.25 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
% 0.21/0.38 % (3641263)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.38 % (3641273)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=85169795:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.38 % (3641273)Instruction limit reached!
% 0.21/0.38 % (3641273)------------------------------
% 0.21/0.38 % (3641273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (3641273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (3641269)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=917190611:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.38 % (3641273)CaDiCaL version: 2.1.3
% 0.21/0.38 % (3641273)Termination reason: Instruction limit
% 0.21/0.38 % (3641273)Termination phase: Property scanning
% 0.21/0.38 % (3641273)Time elapsed: 0.006 s
% 0.21/0.38 % (3641273)Peak memory usage: 10 MB
% 0.21/0.38 % (3641273)Instructions burned: 24 (million)
% 0.21/0.38 % (3641270)lrs+10_16_si=on:nwc=1.5:random_seed=815436836:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38 % (3641272)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=1193531519: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)
% 0.21/0.38 % (3641271)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=980688966:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.38 % (3641271)Instruction limit reached!
% 0.21/0.38 % (3641271)------------------------------
% 0.21/0.38 % (3641271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (3641271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (3641271)CaDiCaL version: 2.1.3
% 0.21/0.38 % (3641271)Termination reason: Instruction limit
% 0.21/0.38 % (3641271)Termination phase: shuffling
% 0.21/0.38 % (3641271)Time elapsed: 0.002 s
% 0.21/0.38 % (3641271)Peak memory usage: 10 MB
% 0.21/0.38 % (3641271)Instructions burned: 3 (million)
% 0.21/0.38 % (3641275)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.38 % (3641275)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
% 0.21/0.38 % (3641275)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=3768492569:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.38 % (3641270)Instruction limit reached!
% 0.21/0.38 % (3641270)------------------------------
% 0.21/0.38 % (3641270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (3641270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (3641270)CaDiCaL version: 2.1.3
% 0.21/0.38 % (3641270)Termination reason: Instruction limit
% 0.21/0.38 % (3641270)Termination phase: Property scanning
% 0.21/0.38 % (3641270)Time elapsed: 0.009 s
% 0.21/0.38 % (3641270)Peak memory usage: 10 MB
% 0.21/0.38 % (3641270)Instructions burned: 20 (million)
% 0.21/0.38 % (3641274)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2438037340:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.38 % (3641282)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1176632308:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.38 % (3641284)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.38 % (3641282)Instruction limit reached!
% 0.21/0.38 % (3641282)------------------------------
% 0.21/0.38 % (3641282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (3641282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (3641282)CaDiCaL version: 2.1.3
% 0.21/0.38 % (3641282)Termination reason: Instruction limit
% 0.21/0.38 % (3641282)Termination phase: shuffling
% 0.21/0.38 % (3641282)Time elapsed: 0.003 s
% 0.21/0.38 % (3641282)Peak memory usage: 10 MB
% 0.21/0.38 % (3641282)Instructions burned: 6 (million)
% 0.93/0.43 % (3641284)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1161456290:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.93/0.43 % (3641284)Instruction limit reached!
% 0.93/0.43 % (3641284)------------------------------
% 0.93/0.43 % (3641284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3641284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3641284)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3641284)Termination reason: Instruction limit
% 0.93/0.43 % (3641284)Termination phase: shuffling
% 0.93/0.43 % (3641284)Time elapsed: 0.004 s
% 0.93/0.43 % (3641284)Peak memory usage: 10 MB
% 0.93/0.43 % (3641284)Instructions burned: 8 (million)
% 0.93/0.43 % (3641279)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3599954489:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.43 % (3641269)Instruction limit reached!
% 0.93/0.43 % (3641269)------------------------------
% 0.93/0.43 % (3641269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3641269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3641269)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3641269)Termination reason: Instruction limit
% 0.93/0.43 % (3641269)Termination phase: Saturation
% 0.93/0.43 % (3641269)Time elapsed: 0.040 s
% 0.93/0.43 % (3641269)Peak memory usage: 12 MB
% 0.93/0.43 % (3641269)Instructions burned: 89 (million)
% 0.93/0.43 % (3641279)Instruction limit reached!
% 0.93/0.43 % (3641279)------------------------------
% 0.93/0.43 % (3641279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3641279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3641279)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3641279)Termination reason: Instruction limit
% 0.93/0.43 % (3641279)Termination phase: shuffling
% 0.93/0.43 % (3641279)Time elapsed: 0.001 s
% 0.93/0.43 % (3641279)Peak memory usage: 10 MB
% 0.93/0.43 % (3641279)Instructions burned: 2 (million)
% 0.93/0.43 % (3641287)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1383742260:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.93/0.43 % (3641274)Instruction limit reached!
% 0.93/0.43 % (3641274)------------------------------
% 0.93/0.43 % (3641274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3641274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3641274)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3641274)Termination reason: Instruction limit
% 0.93/0.43 % (3641274)Termination phase: Property scanning
% 0.93/0.43 % (3641274)Time elapsed: 0.034 s
% 0.93/0.43 % (3641274)Peak memory usage: 12 MB
% 0.93/0.43 % (3641274)Instructions burned: 80 (million)
% 0.93/0.43 % (3641289)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
% 0.93/0.43 % (3641289)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.93/0.43 % (3641289)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=325207339:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.93/0.43 % (3641287)Instruction limit reached!
% 0.93/0.43 % (3641287)------------------------------
% 0.93/0.43 % (3641287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3641287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3641287)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3641287)Termination reason: Instruction limit
% 0.93/0.43 % (3641287)Termination phase: shuffling
% 0.93/0.43 % (3641287)Time elapsed: 0.006 s
% 0.93/0.43 % (3641287)Peak memory usage: 10 MB
% 0.93/0.43 % (3641287)Instructions burned: 13 (million)
% 0.93/0.43 % (3641294)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.93/0.43 % (3641294)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=1568336156:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.46 % (3641291)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=223216314:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.93/0.46 % (3641292)lrs+10_1_si=on:cs=on:random_seed=1699950963:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.93/0.46 % (3641294)Instruction limit reached!
% 0.93/0.46 % (3641294)------------------------------
% 0.93/0.46 % (3641294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (3641294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (3641294)CaDiCaL version: 2.1.3
% 0.93/0.46 % (3641294)Termination reason: Instruction limit
% 0.93/0.46 % (3641294)Termination phase: shuffling
% 0.93/0.46 % (3641294)Time elapsed: 0.001 s
% 0.93/0.46 % (3641294)Peak memory usage: 10 MB
% 0.93/0.46 % (3641294)Instructions burned: 5 (million)
% 0.93/0.46 % (3641292)Instruction limit reached!
% 0.93/0.46 % (3641292)------------------------------
% 0.93/0.46 % (3641292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (3641292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (3641292)CaDiCaL version: 2.1.3
% 0.93/0.46 % (3641292)Termination reason: Instruction limit
% 0.93/0.46 % (3641292)Termination phase: shuffling
% 0.93/0.46 % (3641292)Time elapsed: 0.004 s
% 0.93/0.46 % (3641292)Peak memory usage: 10 MB
% 0.93/0.46 % (3641292)Instructions burned: 8 (million)
% 0.93/0.46 % (3641289)Instruction limit reached!
% 0.93/0.46 % (3641289)------------------------------
% 0.93/0.46 % (3641289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (3641289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (3641289)CaDiCaL version: 2.1.3
% 0.93/0.46 % (3641289)Termination reason: Instruction limit
% 0.93/0.46 % (3641289)Termination phase: Property scanning
% 0.93/0.46 % (3641289)Time elapsed: 0.013 s
% 0.93/0.46 % (3641289)Peak memory usage: 10 MB
% 0.93/0.46 % (3641289)Instructions burned: 30 (million)
% 0.93/0.46 % (3641300)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2504202956:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.93/0.46 % (3641301)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1568332475:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.93/0.46 % (3641302)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=443001379:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.46 % (3641275)Instruction limit reached!
% 0.93/0.46 % (3641275)------------------------------
% 0.93/0.46 % (3641275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (3641275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (3641275)CaDiCaL version: 2.1.3
% 0.93/0.46 % (3641275)Termination reason: Instruction limit
% 0.93/0.46 % (3641275)Termination phase: Saturation
% 0.93/0.46 % (3641275)Time elapsed: 0.077 s
% 0.93/0.46 % (3641275)Peak memory usage: 13 MB
% 0.93/0.46 % (3641275)Instructions burned: 157 (million)
% 0.93/0.46 % (3641296)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=669466118:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.93/0.46 % (3641302)Instruction limit reached!
% 0.93/0.46 % (3641302)------------------------------
% 0.93/0.46 % (3641302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (3641302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (3641302)CaDiCaL version: 2.1.3
% 0.93/0.46 % (3641302)Termination reason: Instruction limit
% 0.93/0.46 % (3641302)Termination phase: shuffling
% 0.93/0.46 % (3641302)Time elapsed: 0.007 s
% 0.93/0.46 % (3641302)Peak memory usage: 10 MB
% 0.93/0.46 % (3641302)Instructions burned: 15 (million)
% 0.93/0.46 % (3641301)Instruction limit reached!
% 0.93/0.46 % (3641301)------------------------------
% 0.93/0.46 % (3641301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (3641301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (3641301)CaDiCaL version: 2.1.3
% 0.93/0.46 % (3641301)Termination reason: Instruction limit
% 0.93/0.46 % (3641301)Termination phase: Property scanning
% 1.72/0.53 % (3641301)Time elapsed: 0.011 s
% 1.72/0.53 % (3641301)Peak memory usage: 10 MB
% 1.72/0.53 % (3641301)Instructions burned: 26 (million)
% 1.72/0.53 % (3641306)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1851356447:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.72/0.53 % (3641308)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2222536951:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.72/0.53 % (3641309)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1113259858: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)
% 1.72/0.53 % (3641309)Instruction limit reached!
% 1.72/0.53 % (3641309)------------------------------
% 1.72/0.53 % (3641309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.53 % (3641309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.53 % (3641309)CaDiCaL version: 2.1.3
% 1.72/0.53 % (3641309)Termination reason: Instruction limit
% 1.72/0.53 % (3641309)Termination phase: shuffling
% 1.72/0.53 % (3641309)Time elapsed: 0.002 s
% 1.72/0.53 % (3641309)Peak memory usage: 10 MB
% 1.72/0.53 % (3641309)Instructions burned: 4 (million)
% 1.72/0.53 % (3641308)Instruction limit reached!
% 1.72/0.53 % (3641308)------------------------------
% 1.72/0.53 % (3641308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.53 % (3641308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.53 % (3641308)CaDiCaL version: 2.1.3
% 1.72/0.53 % (3641308)Termination reason: Instruction limit
% 1.72/0.53 % (3641308)Termination phase: shuffling
% 1.72/0.53 % (3641308)Time elapsed: 0.007 s
% 1.72/0.53 % (3641308)Peak memory usage: 10 MB
% 1.72/0.53 % (3641308)Instructions burned: 17 (million)
% 1.72/0.53 % (3641291)Instruction limit reached!
% 1.72/0.53 % (3641291)------------------------------
% 1.72/0.53 % (3641291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.53 % (3641291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.53 % (3641291)CaDiCaL version: 2.1.3
% 1.72/0.53 % (3641291)Termination reason: Instruction limit
% 1.72/0.53 % (3641291)Termination phase: Saturation
% 1.72/0.53 % (3641291)Time elapsed: 0.062 s
% 1.72/0.53 % (3641291)Peak memory usage: 12 MB
% 1.72/0.53 % (3641291)Instructions burned: 86 (million)
% 1.72/0.53 % (3641296)Instruction limit reached!
% 1.72/0.53 % (3641296)------------------------------
% 1.72/0.53 % (3641296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.53 % (3641296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.53 % (3641296)CaDiCaL version: 2.1.3
% 1.72/0.53 % (3641296)Termination reason: Instruction limit
% 1.72/0.53 % (3641296)Termination phase: Preprocessing 3
% 1.72/0.53 % (3641296)Time elapsed: 0.032 s
% 1.72/0.53 % (3641296)Peak memory usage: 11 MB
% 1.72/0.53 % (3641296)Instructions burned: 40 (million)
% 1.72/0.53 % (3641316)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.72/0.53 % (3641316)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.72/0.53 % (3641314)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=724364573:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.72/0.53 % (3641300)Instruction limit reached!
% 1.72/0.53 % (3641300)------------------------------
% 1.72/0.53 % (3641300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.53 % (3641300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.53 % (3641300)CaDiCaL version: 2.1.3
% 1.72/0.53 % (3641300)Termination reason: Instruction limit
% 1.72/0.53 % (3641300)Termination phase: Saturation
% 1.72/0.53 % (3641300)Time elapsed: 0.069 s
% 1.72/0.53 % (3641300)Peak memory usage: 14 MB
% 1.72/0.53 % (3641300)Instructions burned: 250 (million)
% 1.72/0.53 % (3641313)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2455144273:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.72/0.53 % (3641316)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=3187564058:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.31/0.63 % (3641314)Instruction limit reached!
% 2.31/0.63 % (3641314)------------------------------
% 2.31/0.63 % (3641314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.63 % (3641314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.63 % (3641314)CaDiCaL version: 2.1.3
% 2.31/0.63 % (3641314)Termination reason: Instruction limit
% 2.31/0.63 % (3641314)Termination phase: Property scanning
% 2.31/0.63 % (3641314)Time elapsed: 0.010 s
% 2.31/0.63 % (3641314)Peak memory usage: 10 MB
% 2.31/0.63 % (3641314)Instructions burned: 23 (million)
% 2.31/0.63 % (3641315)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2091588297:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.31/0.63 % (3641318)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.31/0.63 % (3641316)Instruction limit reached!
% 2.31/0.63 % (3641316)------------------------------
% 2.31/0.63 % (3641316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.63 % (3641316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.63 % (3641316)CaDiCaL version: 2.1.3
% 2.31/0.63 % (3641316)Termination reason: Instruction limit
% 2.31/0.63 % (3641316)Termination phase: shuffling
% 2.31/0.63 % (3641316)Time elapsed: 0.007 s
% 2.31/0.63 % (3641316)Peak memory usage: 10 MB
% 2.31/0.63 % (3641316)Instructions burned: 14 (million)
% 2.31/0.63 % (3641318)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=1839650587:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.31/0.63 % (3641318)Instruction limit reached!
% 2.31/0.63 % (3641318)------------------------------
% 2.31/0.63 % (3641318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.63 % (3641318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.63 % (3641318)CaDiCaL version: 2.1.3
% 2.31/0.63 % (3641318)Termination reason: Instruction limit
% 2.31/0.63 % (3641318)Termination phase: shuffling
% 2.31/0.63 % (3641318)Time elapsed: 0.002 s
% 2.31/0.63 % (3641318)Peak memory usage: 10 MB
% 2.31/0.63 % (3641318)Instructions burned: 11 (million)
% 2.31/0.63 % (3641313)Instruction limit reached!
% 2.31/0.63 % (3641313)------------------------------
% 2.31/0.63 % (3641313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.63 % (3641313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.63 % (3641313)CaDiCaL version: 2.1.3
% 2.31/0.63 % (3641313)Termination reason: Instruction limit
% 2.31/0.63 % (3641313)Termination phase: Property scanning
% 2.31/0.63 % (3641313)Time elapsed: 0.012 s
% 2.31/0.63 % (3641313)Peak memory usage: 10 MB
% 2.31/0.63 % (3641313)Instructions burned: 28 (million)
% 2.31/0.63 % (3641325)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=546778113:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.31/0.63 % (3641322)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=1296517916:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.31/0.63 % (3641323)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=235363197:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.31/0.63 % (3641325)Instruction limit reached!
% 2.31/0.63 % (3641325)------------------------------
% 2.31/0.63 % (3641325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.63 % (3641325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.63 % (3641325)CaDiCaL version: 2.1.3
% 2.31/0.63 % (3641325)Termination reason: Instruction limit
% 2.31/0.63 % (3641325)Termination phase: shuffling
% 2.31/0.63 % (3641325)Time elapsed: 0.005 s
% 2.31/0.63 % (3641325)Peak memory usage: 10 MB
% 2.31/0.63 % (3641325)Instructions burned: 24 (million)
% 2.31/0.63 % (3641323)Instruction limit reached!
% 2.31/0.63 % (3641323)------------------------------
% 2.31/0.63 % (3641323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.63 % (3641323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3641323)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3641323)Termination reason: Instruction limit
% 2.54/0.69 % (3641323)Termination phase: shuffling
% 2.54/0.69 % (3641323)Time elapsed: 0.003 s
% 2.54/0.69 % (3641323)Peak memory usage: 10 MB
% 2.54/0.69 % (3641323)Instructions burned: 7 (million)
% 2.54/0.69 % (3641315)Instruction limit reached!
% 2.54/0.69 % (3641315)------------------------------
% 2.54/0.69 % (3641315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3641315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3641315)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3641315)Termination reason: Instruction limit
% 2.54/0.69 % (3641315)Termination phase: shuffling
% 2.54/0.69 % (3641315)Time elapsed: 0.027 s
% 2.54/0.69 % (3641315)Peak memory usage: 11 MB
% 2.54/0.69 % (3641315)Instructions burned: 61 (million)
% 2.54/0.69 % (3641330)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2611921018:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.54/0.69 % (3641322)Instruction limit reached!
% 2.54/0.69 % (3641322)------------------------------
% 2.54/0.69 % (3641322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3641322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3641322)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3641322)Termination reason: Instruction limit
% 2.54/0.69 % (3641322)Termination phase: Property scanning
% 2.54/0.69 % (3641322)Time elapsed: 0.014 s
% 2.54/0.69 % (3641322)Peak memory usage: 10 MB
% 2.54/0.69 % (3641322)Instructions burned: 31 (million)
% 2.54/0.69 % (3641326)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2658381345:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.54/0.69 % (3641334)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=180425040:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.54/0.69 % (3641326)Instruction limit reached!
% 2.54/0.69 % (3641326)------------------------------
% 2.54/0.69 % (3641326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3641326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3641326)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3641326)Termination reason: Instruction limit
% 2.54/0.69 % (3641326)Termination phase: Property scanning
% 2.54/0.69 % (3641326)Time elapsed: 0.017 s
% 2.54/0.69 % (3641326)Peak memory usage: 10 MB
% 2.54/0.69 % (3641326)Instructions burned: 20 (million)
% 2.54/0.69 % (3641331)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3709595418:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.54/0.69 % (3641332)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4110535323:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.54/0.69 % (3641337)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.54/0.69 % (3641334)Instruction limit reached!
% 2.54/0.69 % (3641334)------------------------------
% 2.54/0.69 % (3641334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3641334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3641334)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3641334)Termination reason: Instruction limit
% 2.54/0.69 % (3641334)Termination phase: Preprocessing 3
% 2.54/0.69 % (3641334)Time elapsed: 0.020 s
% 2.54/0.69 % (3641334)Peak memory usage: 11 MB
% 2.54/0.69 % (3641334)Instructions burned: 43 (million)
% 2.54/0.69 % (3641337)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3597610192:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.54/0.69 % (3641337)Instruction limit reached!
% 2.54/0.69 % (3641337)------------------------------
% 2.54/0.69 % (3641337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3641337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3641337)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3641337)Termination reason: Instruction limit
% 2.54/0.69 % (3641337)Termination phase: shuffling
% 2.54/0.69 % (3641337)Time elapsed: 0.004 s
% 2.54/0.69 % (3641337)Peak memory usage: 10 MB
% 2.54/0.69 % (3641337)Instructions burned: 7 (million)
% 2.54/0.69 % (3641341)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1680962465:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 3.16/0.80 % (3641342)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=3216937779: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)
% 3.16/0.80 % (3641306)Instruction limit reached!
% 3.16/0.80 % (3641306)------------------------------
% 3.16/0.80 % (3641306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.80 % (3641306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.80 % (3641306)CaDiCaL version: 2.1.3
% 3.16/0.80 % (3641306)Termination reason: Instruction limit
% 3.16/0.80 % (3641306)Termination phase: Saturation
% 3.16/0.80 % (3641306)Time elapsed: 0.173 s
% 3.16/0.80 % (3641306)Peak memory usage: 15 MB
% 3.16/0.80 % (3641306)Instructions burned: 328 (million)
% 3.16/0.80 % (3641345)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.16/0.80 % (3641345)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1239753228:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.16/0.80 % (3641345)Instruction limit reached!
% 3.16/0.80 % (3641345)------------------------------
% 3.16/0.80 % (3641345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.80 % (3641345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.80 % (3641345)CaDiCaL version: 2.1.3
% 3.16/0.80 % (3641345)Termination reason: Instruction limit
% 3.16/0.80 % (3641345)Termination phase: shuffling
% 3.16/0.80 % (3641345)Time elapsed: 0.003 s
% 3.16/0.80 % (3641345)Peak memory usage: 10 MB
% 3.16/0.80 % (3641345)Instructions burned: 6 (million)
% 3.16/0.80 % (3641332)Instruction limit reached!
% 3.16/0.80 % (3641332)------------------------------
% 3.16/0.80 % (3641332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.80 % (3641332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.80 % (3641332)CaDiCaL version: 2.1.3
% 3.16/0.80 % (3641332)Termination reason: Instruction limit
% 3.16/0.80 % (3641332)Termination phase: Saturation
% 3.16/0.80 % (3641332)Time elapsed: 0.100 s
% 3.16/0.80 % (3641332)Peak memory usage: 14 MB
% 3.16/0.80 % (3641332)Instructions burned: 193 (million)
% 3.16/0.80 % (3641348)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1817630162:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.16/0.80 % (3641331)Instruction limit reached!
% 3.16/0.80 % (3641331)------------------------------
% 3.16/0.80 % (3641331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.80 % (3641331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.80 % (3641331)CaDiCaL version: 2.1.3
% 3.16/0.80 % (3641331)Termination reason: Instruction limit
% 3.16/0.80 % (3641331)Termination phase: Saturation
% 3.16/0.80 % (3641331)Time elapsed: 0.127 s
% 3.16/0.80 % (3641331)Peak memory usage: 14 MB
% 3.16/0.80 % (3641331)Instructions burned: 143 (million)
% 3.16/0.80 % (3641347)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3416349341:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.16/0.80 % (3641342)Instruction limit reached!
% 3.16/0.80 % (3641342)------------------------------
% 3.16/0.80 % (3641342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.80 % (3641342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.80 % (3641342)CaDiCaL version: 2.1.3
% 3.16/0.80 % (3641342)Termination reason: Instruction limit
% 3.16/0.80 % (3641342)Termination phase: Saturation
% 3.16/0.80 % (3641342)Time elapsed: 0.092 s
% 3.16/0.80 % (3641342)Peak memory usage: 14 MB
% 3.16/0.80 % (3641342)Instructions burned: 171 (million)
% 3.16/0.80 % (3641341)Instruction limit reached!
% 3.16/0.80 % (3641341)------------------------------
% 3.16/0.80 % (3641341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.80 % (3641341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.80 % (3641341)CaDiCaL version: 2.1.3
% 3.16/0.80 % (3641341)Termination reason: Instruction limit
% 3.16/0.80 % (3641341)Termination phase: Saturation
% 3.16/0.81 % (3641341)Time elapsed: 0.093 s
% 3.16/0.81 % (3641341)Peak memory usage: 14 MB
% 3.16/0.81 % (3641341)Instructions burned: 183 (million)
% 3.16/0.81 % (3641348)Instruction limit reached!
% 3.16/0.81 % (3641348)------------------------------
% 3.16/0.81 % (3641348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641348)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641348)Termination reason: Instruction limit
% 3.16/0.81 % (3641348)Termination phase: shuffling
% 3.16/0.81 % (3641348)Time elapsed: 0.009 s
% 3.16/0.81 % (3641348)Peak memory usage: 10 MB
% 3.16/0.81 % (3641348)Instructions burned: 19 (million)
% 3.16/0.81 % (3641347)Instruction limit reached!
% 3.16/0.81 % (3641347)------------------------------
% 3.16/0.81 % (3641347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641347)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641347)Termination reason: Instruction limit
% 3.16/0.81 % (3641347)Termination phase: Property scanning
% 3.16/0.81 % (3641347)Time elapsed: 0.010 s
% 3.16/0.81 % (3641347)Peak memory usage: 10 MB
% 3.16/0.81 % (3641347)Instructions burned: 24 (million)
% 3.16/0.81 % (3641350)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=2601794175:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.16/0.81 % (3641352)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=2558436360: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)
% 3.16/0.81 % (3641353)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=683146189: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)
% 3.16/0.81 % (3641354)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=408743645:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.16/0.81 % (3641355)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1092585700: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)
% 3.16/0.81 % (3641355)Instruction limit reached!
% 3.16/0.81 % (3641355)------------------------------
% 3.16/0.81 % (3641355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641355)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641355)Termination reason: Instruction limit
% 3.16/0.81 % (3641355)Termination phase: Property scanning
% 3.16/0.81 % (3641355)Time elapsed: 0.010 s
% 3.16/0.81 % (3641355)Peak memory usage: 10 MB
% 3.16/0.81 % (3641355)Instructions burned: 22 (million)
% 3.16/0.81 % (3641353)Instruction limit reached!
% 3.16/0.81 % (3641353)------------------------------
% 3.16/0.81 % (3641353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641353)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641353)Termination reason: Instruction limit
% 3.16/0.81 % (3641353)Termination phase: Property scanning
% 3.16/0.81 % (3641353)Time elapsed: 0.019 s
% 3.16/0.81 % (3641353)Peak memory usage: 10 MB
% 3.16/0.81 % (3641353)Instructions burned: 46 (million)
% 3.16/0.81 % (3641361)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.16/0.81 % (3641361)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2992002269:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.16/0.81 % (3641362)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3167931994:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.16/0.81 % (3641362)Instruction limit reached!
% 3.16/0.81 % (3641362)------------------------------
% 3.16/0.81 % (3641362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641362)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641362)Termination reason: Instruction limit
% 3.16/0.81 % (3641362)Termination phase: shuffling
% 3.16/0.81 % (3641362)Time elapsed: 0.006 s
% 3.16/0.81 % (3641362)Peak memory usage: 10 MB
% 3.16/0.81 % (3641362)Instructions burned: 14 (million)
% 3.16/0.81 % (3641272)Instruction limit reached!
% 3.16/0.81 % (3641272)------------------------------
% 3.16/0.81 % (3641272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641272)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641272)Termination reason: Instruction limit
% 3.16/0.81 % (3641272)Termination phase: Saturation
% 3.16/0.81 % (3641272)Time elapsed: 0.414 s
% 3.16/0.81 % (3641272)Peak memory usage: 16 MB
% 3.16/0.81 % (3641272)Instructions burned: 636 (million)
% 3.16/0.81 % (3641365)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=2628736051:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.16/0.81 % (3641366)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=316753178:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.16/0.81 % (3641365)Instruction limit reached!
% 3.16/0.81 % (3641365)------------------------------
% 3.16/0.81 % (3641365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641365)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641365)Termination reason: Instruction limit
% 3.16/0.81 % (3641365)Termination phase: Property scanning
% 3.16/0.81 % (3641365)Time elapsed: 0.030 s
% 3.16/0.81 % (3641365)Peak memory usage: 11 MB
% 3.16/0.81 % (3641365)Instructions burned: 68 (million)
% 3.16/0.81 % (3641366)Instruction limit reached!
% 3.16/0.81 % (3641366)------------------------------
% 3.16/0.81 % (3641366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641366)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641366)Termination reason: Instruction limit
% 3.16/0.81 % (3641366)Termination phase: Property scanning
% 3.16/0.81 % (3641366)Time elapsed: 0.026 s
% 3.16/0.81 % (3641366)Peak memory usage: 11 MB
% 3.16/0.81 % (3641366)Instructions burned: 52 (million)
% 3.16/0.81 % (3641369)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4073332069:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.16/0.81 % (3641369)Instruction limit reached!
% 3.16/0.81 % (3641369)------------------------------
% 3.16/0.81 % (3641369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641369)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641369)Termination reason: Instruction limit
% 3.16/0.81 % (3641369)Termination phase: Property scanning
% 3.16/0.81 % (3641369)Time elapsed: 0.014 s
% 3.16/0.81 % (3641369)Peak memory usage: 10 MB
% 3.16/0.81 % (3641369)Instructions burned: 32 (million)
% 3.16/0.81 % (3641361)Instruction limit reached!
% 3.16/0.81 % (3641361)------------------------------
% 3.16/0.81 % (3641361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641361)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641361)Termination reason: Instruction limit
% 3.16/0.81 % (3641361)Termination phase: Saturation
% 3.16/0.81 % (3641361)Time elapsed: 0.094 s
% 3.16/0.81 % (3641361)Peak memory usage: 13 MB
% 3.16/0.81 % (3641361)Instructions burned: 200 (million)
% 3.16/0.81 % (3641370)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2039518:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.16/0.81 % (3641372)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=2311762660:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.16/0.81 % (3641373)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4223549689:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 3.16/0.81 % (3641330) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3641263-3641330"...
% 3.16/0.81 % (3641330)...printing done.
% 3.16/0.81 % (3641330)Refutation found. Thanks to Tanya!
% 3.16/0.81 % SZS status Theorem for theBenchmark
% 3.16/0.81 % SZS output start Proof for theBenchmark
% 3.16/0.81 thf(type_def_5, type, configuration_ext: ($tType * $tType * $tType * $tType) > $tType).
% 3.16/0.81 thf(type_def_6, type, message: ($tType * $tType) > $tType).
% 3.16/0.81 thf(type_def_7, type, product_unit: $tType).
% 3.16/0.81 thf(type_def_8, type, list: $tType > $tType).
% 3.16/0.81 thf(type_def_9, type, set: $tType > $tType).
% 3.16/0.81 thf(type_def_10, type, nat: $tType).
% 3.16/0.81 thf(type_def_11, type, v: $tType).
% 3.16/0.81 thf(type_def_12, type, s: $tType).
% 3.16/0.81 thf(type_def_13, type, p: $tType).
% 3.16/0.81 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 3.16/0.81 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_3, type, zero: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_4, type, neg_numeral: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_6, type, group_add: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_7, type, wellorder: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_8, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_9, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_10, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_11, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_12, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_13, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 3.16/0.81 thf(func_def_14, type, msgs: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((configuration_ext @ X0 @ X1 @ X2 @ X3 > message @ X0 @ X1 > nat))).
% 3.16/0.81 thf(func_def_15, type, enabled: !>[X0: $tType, X1: $tType, X2: $tType]:((configuration_ext @ X0 @ X1 @ X2 @ product_unit > message @ X0 @ X1 > $o))).
% 3.16/0.81 thf(func_def_16, type, isReceiverOf: !>[X0: $tType, X1: $tType]:((X0 > message @ X0 @ X1 > $o))).
% 3.16/0.81 thf(func_def_17, type, firstOccurrence: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > message @ X0 @ X1 > nat > $o))).
% 3.16/0.81 thf(func_def_18, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.16/0.81 thf(func_def_19, type, one_one: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_20, type, zero_zero: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_21, type, prefixList: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 3.16/0.81 thf(func_def_22, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 3.16/0.81 thf(func_def_23, type, nil: !>[X0: $tType]:(list @ X0)).
% 3.16/0.81 thf(func_def_24, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 3.16/0.81 thf(func_def_25, type, suc: (nat > nat)).
% 3.16/0.81 thf(func_def_26, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 3.16/0.81 thf(func_def_27, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.16/0.81 thf(func_def_28, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.16/0.81 thf(func_def_29, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.16/0.81 thf(func_def_30, type, fe: (nat > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 3.16/0.81 thf(func_def_31, type, firstOccSet: (nat > set @ message @ p @ v)).
% 3.16/0.81 thf(func_def_32, type, ft: (nat > list @ message @ p @ v)).
% 3.16/0.81 thf(func_def_33, type, index: nat).
% 3.16/0.81 thf(func_def_34, type, msgInSet: message @ p @ v).
% 3.16/0.81 thf(func_def_35, type, msg: message @ p @ v).
% 3.16/0.81 thf(func_def_36, type, n0: nat).
% 3.16/0.81 thf(func_def_37, type, n1: nat).
% 3.16/0.81 thf(func_def_38, type, nMsg: nat).
% 3.16/0.81 thf(func_def_39, type, n: nat).
% 3.16/0.81 thf(func_def_40, type, p2: p).
% 3.16/0.81 thf(func_def_42, type, vIMP: ($o > $o > $o)).
% 3.16/0.81 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.16/0.81 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_47, type, db1: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.16/0.81 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.16/0.81 thf(func_def_50, type, vNOT: ($o > $o)).
% 3.16/0.81 thf(func_def_51, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.16/0.81 thf(func_def_52, type, vAND: ($o > $o > $o)).
% 3.16/0.81 thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_54, type, db3: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_55, type, vOR: ($o > $o > $o)).
% 3.16/0.81 thf(func_def_56, type, db4: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_57, type, db7: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_58, type, db8: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_59, type, db5: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_60, type, db6: !>[X0: $tType]:(X0)).
% 3.16/0.81 thf(func_def_62, type, sK1: p).
% 3.16/0.81 thf(func_def_63, type, sK2: p).
% 3.16/0.81 thf(func_def_64, type, sK3: !>[X0: $tType]:((nat > list @ X0))).
% 3.16/0.81 thf(func_def_65, type, sK4: (nat > nat)).
% 3.16/0.81 thf(func_def_66, type, sK5: (nat > nat)).
% 3.16/0.81 thf(func_def_67, type, sK6: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_68, type, sK7: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_69, type, sK8: (nat > nat > nat)).
% 3.16/0.81 thf(func_def_70, type, sK9: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_71, type, sK10: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_72, type, sK11: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_73, type, sK12: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_74, type, sK13: nat).
% 3.16/0.81 thf(func_def_75, type, sK14: ((nat > $o) > nat)).
% 3.16/0.81 thf(func_def_76, type, sK15: nat).
% 3.16/0.81 thf(f1,axiom,(
% 3.16/0.81 (ord_less @ nat @ zero_zero @ nat @ nMsg)),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_AssumpOcc6_I1_J)).
% 3.16/0.81 thf(f4,axiom,(
% 3.16/0.81 (firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ nMsg)),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_AssumptionSubset_I3_J)).
% 3.16/0.81 thf(f5,axiom,(
% 3.16/0.81 ! [X0 : nat] : ((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ X0) => (ord_less @ nat @ X0 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_SmallIndex)).
% 3.16/0.81 thf(f13,axiom,(
% 3.16/0.81 ! [X0 : nat] : (((minus_minus @ nat @ zero_zero @ nat @ X0)) = zero_zero @ nat)),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_diff__0__eq__0)).
% 3.16/0.81 thf(f15,axiom,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : (((minus_minus @ nat @ (suc @ X0) @ (suc @ X1))) = ((minus_minus @ nat @ X0 @ X1)))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_diff__Suc__Suc)).
% 3.16/0.81 thf(f39,axiom,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((((suc @ X0)) = ((suc @ X1))) => (X0 = X1))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_Suc__inject)).
% 3.16/0.81 thf(f41,axiom,(
% 3.16/0.81 ! [X1 : nat,X0 : nat] : ((X0 != X1) => (~(ord_less @ nat @ X0 @ X1) => (ord_less @ nat @ X1 @ X0)))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_linorder__neqE__nat)).
% 3.16/0.81 thf(f46,axiom,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((ord_less @ nat @ X0 @ X1) => (X1 != X0))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_less__not__refl2)).
% 3.16/0.81 thf(f94,axiom,(
% 3.16/0.81 ! [X0 : nat] : ~(ord_less @ nat @ X0 @ zero_zero @ nat)),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_less__zeroE)).
% 3.16/0.81 thf(f99,axiom,(
% 3.16/0.81 ! [X0 : nat] : (((minus_minus @ nat @ X0 @ zero_zero @ nat)) = X0)),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_minus__nat_Odiff__0)).
% 3.16/0.81 thf(f107,axiom,(
% 3.16/0.81 ! [X0 : nat] : ((ord_less @ nat @ zero_zero @ nat @ X0) => ? [X1 : nat] : (X0 = ((suc @ X1))))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_gr0__implies__Suc)).
% 3.16/0.81 thf(f132,axiom,(
% 3.16/0.81 ! [X1 : nat,X0 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => (((minus_minus @ nat @ X1 @ (minus_minus @ nat @ X1 @ X0))) = X0))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_diff__diff__cancel)).
% 3.16/0.81 thf(f151,axiom,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((X0 = X1) => (ord_less_eq @ nat @ X0 @ X1))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_eq__imp__le)).
% 3.16/0.81 thf(f153,axiom,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X1 @ X0) | (ord_less_eq @ nat @ X0 @ X1))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_nat__le__linear)).
% 3.16/0.81 thf(f209,axiom,(
% 3.16/0.81 ! [X2 : nat,X1 : nat,X0 : nat] : ((ord_less @ nat @ X0 @ X1) => ((ord_less_eq @ nat @ X2 @ X0) => (ord_less @ nat @ (minus_minus @ nat @ X0 @ X2) @ (minus_minus @ nat @ X1 @ X2))))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_diff__less__mono)).
% 3.16/0.81 thf(f210,axiom,(
% 3.16/0.81 (one_one @ nat = ((suc @ zero_zero @ nat)))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_One__nat__def)).
% 3.16/0.81 thf(f250,axiom,(
% 3.16/0.81 ! [X0 : $tType] : (linord1659791738miring @ X0 => (ord_less @ X0 @ zero_zero @ X0 @ one_one @ X0))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_less__numeral__extra_I1_J)).
% 3.16/0.81 thf(f254,axiom,(
% 3.16/0.81 linord1659791738miring @ nat),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring)).
% 3.16/0.81 thf(f268,conjecture,(
% 3.16/0.81 (ord_less @ nat @ (minus_minus @ nat @ nMsg @ (suc @ zero_zero @ nat)) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ (suc @ zero_zero @ nat)))),
% 3.16/0.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 3.16/0.81 thf(f269,negated_conjecture,(
% 3.16/0.81 ~(ord_less @ nat @ (minus_minus @ nat @ nMsg @ (suc @ zero_zero @ nat)) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ (suc @ zero_zero @ nat)))),
% 3.16/0.81 inference(negated_conjecture,[status(cth)],[f268])).
% 3.16/0.81 thf(f279,plain,(
% 3.16/0.81 ! [X0 : nat] : ((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ X0) => (ord_less @ nat @ X0 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))),
% 3.16/0.81 inference(rectify,[],[f5])).
% 3.16/0.81 thf(f280,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: ((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ Y0) => (ord_less @ nat @ Y0 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))))))),
% 3.16/0.81 inference(fool_elimination,[],[f279])).
% 3.16/0.81 thf(f320,plain,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((X0 = X1) => (ord_less_eq @ nat @ X0 @ X1))),
% 3.16/0.81 inference(rectify,[],[f151])).
% 3.16/0.81 thf(f321,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((Y1 = Y0) => (ord_less_eq @ nat @ Y1 @ Y0))))))))),
% 3.16/0.81 inference(fool_elimination,[],[f320])).
% 3.16/0.81 thf(f327,plain,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X1 @ X0) => (((minus_minus @ nat @ X0 @ (minus_minus @ nat @ X0 @ X1))) = X1))),
% 3.16/0.81 inference(rectify,[],[f132])).
% 3.16/0.81 thf(f328,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq @ nat @ Y0 @ Y1) => ((minus_minus @ nat @ Y1 @ (minus_minus @ nat @ Y1 @ Y0)) = Y0))))))))),
% 3.16/0.81 inference(fool_elimination,[],[f327])).
% 3.16/0.81 thf(f372,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((minus_minus @ nat @ Y1 @ Y0) = (minus_minus @ nat @ (suc @ Y1) @ (suc @ Y0)))))))) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f15])).
% 3.16/0.81 thf(f427,plain,(
% 3.16/0.81 ! [X0 : nat] : ~(ord_less @ nat @ X0 @ zero_zero @ nat)),
% 3.16/0.81 inference(rectify,[],[f94])).
% 3.16/0.81 thf(f428,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (~ (ord_less @ nat @ Y0 @ zero_zero @ nat))))))),
% 3.16/0.81 inference(fool_elimination,[],[f427])).
% 3.16/0.81 thf(f451,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (((suc @ Y1) = (suc @ Y0)) => (Y1 = Y0))))))))),
% 3.16/0.81 inference(fool_elimination,[],[f39])).
% 3.16/0.81 thf(f511,plain,(
% 3.16/0.81 (((suc @ zero_zero @ nat)) = one_one @ nat)),
% 3.16/0.81 inference(fool_elimination,[],[f210])).
% 3.16/0.81 thf(f539,plain,(
% 3.16/0.81 ! [X0 : $tType] : (linord1659791738miring @ X0 => (ord_less @ X0 @ zero_zero @ X0 @ one_one @ X0))),
% 3.16/0.81 inference(rectify,[],[f250])).
% 3.16/0.81 thf(f540,plain,(
% 3.16/0.81 ( ! [X0 : $tType] : (($true = ((linord1659791738miring @ X0 => (ord_less @ X0 @ zero_zero @ X0 @ one_one @ X0))))) )),
% 3.16/0.81 inference(fool_elimination,[],[f539])).
% 3.16/0.81 thf(f541,plain,(
% 3.16/0.81 linord1659791738miring @ nat),
% 3.16/0.81 inference(rectify,[],[f254])).
% 3.16/0.81 thf(f542,plain,(
% 3.16/0.81 (linord1659791738miring @ nat = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f541])).
% 3.16/0.81 thf(f545,plain,(
% 3.16/0.81 (ord_less @ nat @ zero_zero @ nat @ nMsg)),
% 3.16/0.81 inference(rectify,[],[f1])).
% 3.16/0.81 thf(f546,plain,(
% 3.16/0.81 (((ord_less @ nat @ zero_zero @ nat @ nMsg)) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f545])).
% 3.16/0.81 thf(f580,plain,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((ord_less @ nat @ X0 @ X1) => (X1 != X0))),
% 3.16/0.81 inference(rectify,[],[f46])).
% 3.16/0.81 thf(f581,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ Y1 @ Y0) => (~ (Y1 = Y0)))))))))),
% 3.16/0.81 inference(fool_elimination,[],[f580])).
% 3.16/0.81 thf(f591,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (zero_zero @ nat = (minus_minus @ nat @ zero_zero @ nat @ Y0))))) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f13])).
% 3.16/0.81 thf(f598,plain,(
% 3.16/0.81 ! [X0 : nat] : ((ord_less @ nat @ zero_zero @ nat @ X0) => ? [X1 : nat] : (X0 = ((suc @ X1))))),
% 3.16/0.81 inference(rectify,[],[f107])).
% 3.16/0.81 thf(f599,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: ((ord_less @ nat @ zero_zero @ nat @ Y0) => (?? @ nat @ (^[Y1 : nat]: ((suc @ Y1) = Y0))))))) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f598])).
% 3.16/0.81 thf(f671,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: ((minus_minus @ nat @ Y0 @ zero_zero @ nat) = Y0)))))),
% 3.16/0.81 inference(fool_elimination,[],[f99])).
% 3.16/0.81 thf(f680,plain,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~(ord_less @ nat @ X1 @ X0) => (ord_less @ nat @ X0 @ X1)))),
% 3.16/0.81 inference(rectify,[],[f41])).
% 3.16/0.81 thf(f681,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((~ (Y1 = Y0)) => ((~ (ord_less @ nat @ Y0 @ Y1)) => (ord_less @ nat @ Y1 @ Y0)))))))))),
% 3.16/0.81 inference(fool_elimination,[],[f680])).
% 3.16/0.81 thf(f683,plain,(
% 3.16/0.81 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X1 @ X0) | (ord_less_eq @ nat @ X0 @ X1))),
% 3.16/0.81 inference(rectify,[],[f153])).
% 3.16/0.81 thf(f684,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq @ nat @ Y1 @ Y0) | (ord_less_eq @ nat @ Y0 @ Y1))))))) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f683])).
% 3.16/0.81 thf(f706,plain,(
% 3.16/0.81 (firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ nMsg)),
% 3.16/0.81 inference(rectify,[],[f4])).
% 3.16/0.81 thf(f707,plain,(
% 3.16/0.81 (((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ nMsg)) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f706])).
% 3.16/0.81 thf(f711,plain,(
% 3.16/0.81 ~(ord_less @ nat @ (minus_minus @ nat @ nMsg @ (suc @ zero_zero @ nat)) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ (suc @ zero_zero @ nat)))),
% 3.16/0.81 inference(rectify,[],[f269])).
% 3.16/0.81 thf(f712,plain,(
% 3.16/0.81 ($true = ((~ (ord_less @ nat @ (minus_minus @ nat @ nMsg @ (suc @ zero_zero @ nat)) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ (suc @ zero_zero @ nat))))))),
% 3.16/0.81 inference(fool_elimination,[],[f711])).
% 3.16/0.81 thf(f721,plain,(
% 3.16/0.81 ! [X0 : nat,X1 : nat,X2 : nat] : ((ord_less @ nat @ X2 @ X1) => ((ord_less_eq @ nat @ X0 @ X2) => (ord_less @ nat @ (minus_minus @ nat @ X2 @ X0) @ (minus_minus @ nat @ X1 @ X0))))),
% 3.16/0.81 inference(rectify,[],[f209])).
% 3.16/0.81 thf(f722,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: ((ord_less @ nat @ Y0 @ Y1) => ((ord_less_eq @ nat @ Y2 @ Y0) => (ord_less @ nat @ (minus_minus @ nat @ Y0 @ Y2) @ (minus_minus @ nat @ Y1 @ Y2))))))))))) = $true)),
% 3.16/0.81 inference(fool_elimination,[],[f721])).
% 3.16/0.81 thf(f805,plain,(
% 3.16/0.81 ! [X0 : $tType] : ($true = ((linord1659791738miring @ X0 => (ord_less @ X0 @ zero_zero @ X0 @ one_one @ X0))))),
% 3.16/0.81 inference(closure,[],[f540])).
% 3.16/0.81 thf(f842,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: ((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ Y0) => (ord_less @ nat @ Y0 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f280])).
% 3.16/0.81 thf(f855,plain,(
% 3.16/0.81 ( ! [X0 : $tType] : (($true = ((linord1659791738miring @ X0 => (ord_less @ X0 @ zero_zero @ X0 @ one_one @ X0))))) )),
% 3.16/0.81 inference(cnf_transformation,[],[f805])).
% 3.16/0.81 thf(f859,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((~ (Y1 = Y0)) => ((~ (ord_less @ nat @ Y0 @ Y1)) => (ord_less @ nat @ Y1 @ Y0)))))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f681])).
% 3.16/0.81 thf(f889,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq @ nat @ Y0 @ Y1) => ((minus_minus @ nat @ Y1 @ (minus_minus @ nat @ Y1 @ Y0)) = Y0))))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f328])).
% 3.16/0.81 thf(f894,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ Y1 @ Y0) => (~ (Y1 = Y0)))))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f581])).
% 3.16/0.81 thf(f932,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (((suc @ Y1) = (suc @ Y0)) => (Y1 = Y0))))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f451])).
% 3.16/0.81 thf(f934,plain,(
% 3.16/0.81 (linord1659791738miring @ nat = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f542])).
% 3.16/0.81 thf(f935,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: ((ord_less @ nat @ zero_zero @ nat @ Y0) => (?? @ nat @ (^[Y1 : nat]: ((suc @ Y1) = Y0))))))) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f599])).
% 3.16/0.81 thf(f940,plain,(
% 3.16/0.81 ($true = ((~ (ord_less @ nat @ (minus_minus @ nat @ nMsg @ (suc @ zero_zero @ nat)) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ (suc @ zero_zero @ nat))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f712])).
% 3.16/0.81 thf(f947,plain,(
% 3.16/0.81 (((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ nMsg)) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f707])).
% 3.16/0.81 thf(f960,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (~ (ord_less @ nat @ Y0 @ zero_zero @ nat))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f428])).
% 3.16/0.81 thf(f962,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq @ nat @ Y1 @ Y0) | (ord_less_eq @ nat @ Y0 @ Y1))))))) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f684])).
% 3.16/0.81 thf(f1009,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (zero_zero @ nat = (minus_minus @ nat @ zero_zero @ nat @ Y0))))) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f591])).
% 3.16/0.81 thf(f1014,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: ((ord_less @ nat @ Y0 @ Y1) => ((ord_less_eq @ nat @ Y2 @ Y0) => (ord_less @ nat @ (minus_minus @ nat @ Y0 @ Y2) @ (minus_minus @ nat @ Y1 @ Y2))))))))))) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f722])).
% 3.16/0.81 thf(f1041,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: ((minus_minus @ nat @ Y0 @ zero_zero @ nat) = Y0)))))),
% 3.16/0.81 inference(cnf_transformation,[],[f671])).
% 3.16/0.81 thf(f1047,plain,(
% 3.16/0.81 (((suc @ zero_zero @ nat)) = one_one @ nat)),
% 3.16/0.81 inference(cnf_transformation,[],[f511])).
% 3.16/0.81 thf(f1051,plain,(
% 3.16/0.81 ($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((Y1 = Y0) => (ord_less_eq @ nat @ Y1 @ Y0))))))))),
% 3.16/0.81 inference(cnf_transformation,[],[f321])).
% 3.16/0.81 thf(f1076,plain,(
% 3.16/0.81 (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((minus_minus @ nat @ Y1 @ Y0) = (minus_minus @ nat @ (suc @ Y1) @ (suc @ Y0)))))))) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f372])).
% 3.16/0.81 thf(f1091,plain,(
% 3.16/0.81 (((ord_less @ nat @ zero_zero @ nat @ nMsg)) = $true)),
% 3.16/0.81 inference(cnf_transformation,[],[f546])).
% 3.16/0.81 thf(f1122,plain,(
% 3.16/0.81 (((ord_less @ nat @ (minus_minus @ nat @ nMsg @ (suc @ zero_zero @ nat)) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ (suc @ zero_zero @ nat)))) = $false)),
% 3.16/0.81 inference(not_proxy_clausification,[],[f940])).
% 3.16/0.81 thf(f1134,plain,(
% 3.16/0.81 ( ! [X0 : $tType] : ((((ord_less @ X0 @ zero_zero @ X0 @ one_one @ X0)) = $true) | (linord1659791738miring @ X0 = $false)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f855])).
% 3.16/0.81 thf(f1415,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((^[Y0 : nat]: (~ (ord_less @ nat @ Y0 @ zero_zero @ nat))) @ X1)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f960])).
% 3.16/0.81 thf(f1416,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((~ (ord_less @ nat @ X1 @ zero_zero @ nat))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f1415])).
% 3.16/0.81 thf(f1487,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((^[Y0 : nat]: (zero_zero @ nat = (minus_minus @ nat @ zero_zero @ nat @ Y0))) @ X1)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f1009])).
% 3.16/0.81 thf(f1488,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((zero_zero @ nat = (minus_minus @ nat @ zero_zero @ nat @ X1))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f1487])).
% 3.16/0.81 thf(f1491,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: ((minus_minus @ nat @ Y0 @ zero_zero @ nat) = Y0)) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f1041])).
% 3.16/0.81 thf(f1492,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((minus_minus @ nat @ X1 @ zero_zero @ nat) = X1)) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f1491])).
% 3.16/0.81 thf(f1958,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq @ nat @ Y1 @ Y0) | (ord_less_eq @ nat @ Y0 @ Y1))))) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f962])).
% 3.16/0.81 thf(f1959,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = ((!! @ nat @ (^[Y0 : nat]: ((ord_less_eq @ nat @ Y0 @ X1) | (ord_less_eq @ nat @ X1 @ Y0))))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f1958])).
% 3.16/0.81 thf(f1960,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = (((^[Y0 : nat]: ((ord_less_eq @ nat @ Y0 @ X1) | (ord_less_eq @ nat @ X1 @ Y0))) @ X2)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f1959])).
% 3.16/0.81 thf(f1961,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((ord_less_eq @ nat @ X2 @ X1) | (ord_less_eq @ nat @ X1 @ X2))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f1960])).
% 3.16/0.81 thf(f1962,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X2 @ X1)) = $true) | (((ord_less_eq @ nat @ X1 @ X2)) = $true)) )),
% 3.16/0.81 inference(or_proxy_clausification,[],[f1961])).
% 3.16/0.81 thf(f2035,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((Y1 = Y0) => (ord_less_eq @ nat @ Y1 @ Y0))))) @ X1)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f1051])).
% 3.16/0.81 thf(f2036,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((!! @ nat @ (^[Y0 : nat]: ((Y0 = X1) => (ord_less_eq @ nat @ Y0 @ X1))))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2035])).
% 3.16/0.81 thf(f2037,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((^[Y0 : nat]: ((Y0 = X1) => (ord_less_eq @ nat @ Y0 @ X1))) @ X2)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f2036])).
% 3.16/0.81 thf(f2038,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = (((X2 = X1) => (ord_less_eq @ nat @ X2 @ X1))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2037])).
% 3.16/0.81 thf(f2039,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X2 @ X1)) = $true) | (((X2 = X1)) = $false)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f2038])).
% 3.16/0.81 thf(f2040,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X2 @ X1)) = $true) | (X1 != X2)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f2039])).
% 3.16/0.81 thf(f2061,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ Y1 @ Y0) => (~ (Y1 = Y0)))))) @ X1)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f894])).
% 3.16/0.81 thf(f2062,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = ((!! @ nat @ (^[Y0 : nat]: ((ord_less @ nat @ Y0 @ X1) => (~ (Y0 = X1)))))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2061])).
% 3.16/0.81 thf(f2063,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((^[Y0 : nat]: ((ord_less @ nat @ Y0 @ X1) => (~ (Y0 = X1)))) @ X2)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f2062])).
% 3.16/0.81 thf(f2064,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((ord_less @ nat @ X2 @ X1) => (~ (X2 = X1)))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2063])).
% 3.16/0.81 thf(f2065,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = ((~ (X2 = X1)))) | (((ord_less @ nat @ X2 @ X1)) = $false)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f2064])).
% 3.16/0.81 thf(f2066,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((X2 = X1)) = $false) | (((ord_less @ nat @ X2 @ X1)) = $false)) )),
% 3.16/0.81 inference(not_proxy_clausification,[],[f2065])).
% 3.16/0.81 thf(f2067,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less @ nat @ X2 @ X1)) = $false) | (X1 != X2)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f2066])).
% 3.16/0.81 thf(f2093,plain,(
% 3.16/0.81 (linord1659791738miring @ nat = $false) | (zero_zero @ nat != one_one @ nat) | ($false = $true)),
% 3.16/0.81 inference(superposition,[],[f1134,f2067])).
% 3.16/0.81 thf(f2104,plain,(
% 3.16/0.81 (linord1659791738miring @ nat = $false) | (zero_zero @ nat != one_one @ nat)),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f2093])).
% 3.16/0.81 thf(f2118,plain,(
% 3.16/0.81 (zero_zero @ nat != one_one @ nat) | ($false = $true)),
% 3.16/0.81 inference(forward_demodulation,[],[f2104,f934])).
% 3.16/0.81 thf(f2119,plain,(
% 3.16/0.81 (zero_zero @ nat != one_one @ nat)),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f2118])).
% 3.16/0.81 thf(f2122,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: ((ord_less @ nat @ zero_zero @ nat @ Y0) => (?? @ nat @ (^[Y1 : nat]: ((suc @ Y1) = Y0))))) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f935])).
% 3.16/0.81 thf(f2123,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((ord_less @ nat @ zero_zero @ nat @ X1) => (?? @ nat @ (^[Y0 : nat]: ((suc @ Y0) = X1))))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2122])).
% 3.16/0.81 thf(f2521,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (((suc @ Y1) = (suc @ Y0)) => (Y1 = Y0))))) @ X1)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f932])).
% 3.16/0.81 thf(f2522,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((!! @ nat @ (^[Y0 : nat]: (((suc @ Y0) = (suc @ X1)) => (Y0 = X1))))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2521])).
% 3.16/0.81 thf(f2523,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = (((^[Y0 : nat]: (((suc @ Y0) = (suc @ X1)) => (Y0 = X1))) @ X2)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f2522])).
% 3.16/0.81 thf(f2524,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((((suc @ X2) = (suc @ X1)) => (X2 = X1))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2523])).
% 3.16/0.81 thf(f2525,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((suc @ X2) = (suc @ X1))) = $false) | (((X2 = X1)) = $true)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f2524])).
% 3.16/0.81 thf(f2526,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((X2 = X1)) = $true) | (((suc @ X1)) != ((suc @ X2)))) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f2525])).
% 3.16/0.81 thf(f2527,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((suc @ X1)) != ((suc @ X2))) | (X1 = X2)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f2526])).
% 3.16/0.81 thf(f2559,definition,(
% 3.16/0.81 spl0_42 <=> (nMsg = one_one @ nat)),
% 3.16/0.81 introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition])).
% 3.16/0.81 thf(f2817,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((minus_minus @ nat @ Y1 @ Y0) = (minus_minus @ nat @ (suc @ Y1) @ (suc @ Y0)))))) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f1076])).
% 3.16/0.81 thf(f2818,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((!! @ nat @ (^[Y0 : nat]: ((minus_minus @ nat @ Y0 @ X1) = (minus_minus @ nat @ (suc @ Y0) @ (suc @ X1)))))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2817])).
% 3.16/0.81 thf(f2819,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((^[Y0 : nat]: ((minus_minus @ nat @ Y0 @ X1) = (minus_minus @ nat @ (suc @ Y0) @ (suc @ X1)))) @ X2)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f2818])).
% 3.16/0.81 thf(f2820,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((minus_minus @ nat @ X2 @ X1) = (minus_minus @ nat @ (suc @ X2) @ (suc @ X1)))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f2819])).
% 3.16/0.81 thf(f2821,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((minus_minus @ nat @ X2 @ X1)) = ((minus_minus @ nat @ (suc @ X2) @ (suc @ X1))))) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f2820])).
% 3.16/0.81 thf(f3152,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((minus_minus @ nat @ X1 @ zero_zero @ nat)) = X1)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f1492])).
% 3.16/0.81 thf(f3191,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((?? @ nat @ (^[Y0 : nat]: ((suc @ Y0) = X1)))) = $true) | (((ord_less @ nat @ zero_zero @ nat @ X1)) = $false)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f2123])).
% 3.16/0.81 thf(f3198,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((zero_zero @ nat = ((minus_minus @ nat @ zero_zero @ nat @ X1)))) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f1488])).
% 3.16/0.81 thf(f3206,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($false = ((ord_less @ nat @ X1 @ zero_zero @ nat)))) )),
% 3.16/0.81 inference(not_proxy_clausification,[],[f1416])).
% 3.16/0.81 thf(f3310,plain,(
% 3.16/0.81 (((ord_less @ nat @ (minus_minus @ nat @ nMsg @ one_one @ nat) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)) @ one_one @ nat))) = $false)),
% 3.16/0.81 inference(superposition,[],[f1122,f1047])).
% 3.16/0.81 thf(f3331,plain,(
% 3.16/0.81 ( ! [X0 : nat] : ((((suc @ X0)) != one_one @ nat) | (zero_zero @ nat = X0)) )),
% 3.16/0.81 inference(superposition,[],[f2527,f1047])).
% 3.16/0.81 thf(f3437,definition,(
% 3.16/0.81 spl0_56 <=> ($false = ((ord_less_eq @ nat @ nMsg @ one_one @ nat)))),
% 3.16/0.81 introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition])).
% 3.16/0.81 thf(f3439,plain,(
% 3.16/0.81 ($false = ((ord_less_eq @ nat @ nMsg @ one_one @ nat))) | ~spl0_56),
% 3.16/0.81 inference(avatar_component_clause,[],[f3437])).
% 3.16/0.81 thf(f3672,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: ((suc @ Y0) = X1)) @ (sK4 @ X1)))) | (((ord_less @ nat @ zero_zero @ nat @ X1)) = $false)) )),
% 3.16/0.81 inference(sigma_proxy_clausification,[],[f3191])).
% 3.16/0.81 thf(f3673,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((suc @ (sK4 @ X1)) = X1))) | (((ord_less @ nat @ zero_zero @ nat @ X1)) = $false)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f3672])).
% 3.16/0.81 thf(f3674,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X1)) = $false) | (((suc @ (sK4 @ X1))) = X1)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f3673])).
% 3.16/0.81 thf(f3676,plain,(
% 3.16/0.81 ($false = $true) | (nMsg = ((suc @ (sK4 @ nMsg))))),
% 3.16/0.81 inference(superposition,[],[f3674,f1091])).
% 3.16/0.81 thf(f3704,plain,(
% 3.16/0.81 (nMsg = ((suc @ (sK4 @ nMsg))))),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f3676])).
% 3.16/0.81 thf(f4232,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less_eq @ nat @ Y0 @ Y1) => ((minus_minus @ nat @ Y1 @ (minus_minus @ nat @ Y1 @ Y0)) = Y0))))) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f889])).
% 3.16/0.81 thf(f4233,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((!! @ nat @ (^[Y0 : nat]: ((ord_less_eq @ nat @ X1 @ Y0) => ((minus_minus @ nat @ Y0 @ (minus_minus @ nat @ Y0 @ X1)) = X1))))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f4232])).
% 3.16/0.81 thf(f4240,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = (((^[Y0 : nat]: ((ord_less_eq @ nat @ X1 @ Y0) => ((minus_minus @ nat @ Y0 @ (minus_minus @ nat @ Y0 @ X1)) = X1))) @ X2)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f4233])).
% 3.16/0.81 thf(f4241,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((ord_less_eq @ nat @ X1 @ X2) => ((minus_minus @ nat @ X2 @ (minus_minus @ nat @ X2 @ X1)) = X1))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f4240])).
% 3.16/0.81 thf(f4242,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less_eq @ nat @ X1 @ X2)) = $false) | ((((minus_minus @ nat @ X2 @ (minus_minus @ nat @ X2 @ X1)) = X1)) = $true)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f4241])).
% 3.16/0.81 thf(f4243,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((minus_minus @ nat @ X2 @ (minus_minus @ nat @ X2 @ X1))) = X1) | (((ord_less_eq @ nat @ X1 @ X2)) = $false)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f4242])).
% 3.16/0.81 thf(f4604,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((~ (Y1 = Y0)) => ((~ (ord_less @ nat @ Y0 @ Y1)) => (ord_less @ nat @ Y1 @ Y0)))))) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f859])).
% 3.16/0.81 thf(f4605,plain,(
% 3.16/0.81 ( ! [X1 : nat] : ((((!! @ nat @ (^[Y0 : nat]: ((~ (Y0 = X1)) => ((~ (ord_less @ nat @ X1 @ Y0)) => (ord_less @ nat @ Y0 @ X1)))))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f4604])).
% 3.16/0.81 thf(f4622,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((^[Y0 : nat]: ((~ (Y0 = X1)) => ((~ (ord_less @ nat @ X1 @ Y0)) => (ord_less @ nat @ Y0 @ X1)))) @ X2)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f4605])).
% 3.16/0.81 thf(f4623,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (((((~ (X2 = X1)) => ((~ (ord_less @ nat @ X1 @ X2)) => (ord_less @ nat @ X2 @ X1)))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f4622])).
% 3.16/0.81 thf(f4624,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($false = ((~ (X2 = X1)))) | ($true = (((~ (ord_less @ nat @ X1 @ X2)) => (ord_less @ nat @ X2 @ X1))))) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f4623])).
% 3.16/0.81 thf(f4625,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = (((~ (ord_less @ nat @ X1 @ X2)) => (ord_less @ nat @ X2 @ X1)))) | (((X2 = X1)) = $true)) )),
% 3.16/0.81 inference(not_proxy_clausification,[],[f4624])).
% 3.16/0.81 thf(f4626,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((~ (ord_less @ nat @ X1 @ X2))) = $false) | (((X2 = X1)) = $true) | (((ord_less @ nat @ X2 @ X1)) = $true)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f4625])).
% 3.16/0.81 thf(f4627,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less @ nat @ X2 @ X1)) = $true) | (((ord_less @ nat @ X1 @ X2)) = $true) | (((X2 = X1)) = $true)) )),
% 3.16/0.81 inference(not_proxy_clausification,[],[f4626])).
% 3.16/0.81 thf(f4628,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : ((((ord_less @ nat @ X2 @ X1)) = $true) | (((ord_less @ nat @ X1 @ X2)) = $true) | (X1 = X2)) )),
% 3.16/0.81 inference(equality_proxy_clausification,[],[f4627])).
% 3.16/0.81 thf(f5894,definition,(
% 3.16/0.81 spl0_93 <=> (((ord_less @ nat @ zero_zero @ nat @ one_one @ nat)) = $false)),
% 3.16/0.81 introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition])).
% 3.16/0.81 thf(f5895,plain,(
% 3.16/0.81 (((ord_less @ nat @ zero_zero @ nat @ one_one @ nat)) != $false) | spl0_93),
% 3.16/0.81 inference(avatar_component_clause,[],[f5894])).
% 3.16/0.81 thf(f5896,plain,(
% 3.16/0.81 (((ord_less @ nat @ zero_zero @ nat @ one_one @ nat)) = $false) | ~spl0_93),
% 3.16/0.81 inference(avatar_component_clause,[],[f5894])).
% 3.16/0.81 thf(f5934,plain,(
% 3.16/0.81 (zero_zero @ nat = one_one @ nat) | ($false = $true) | ($true = ((ord_less @ nat @ one_one @ nat @ zero_zero @ nat))) | ~spl0_93),
% 3.16/0.81 inference(superposition,[],[f5896,f4628])).
% 3.16/0.81 thf(f5949,plain,(
% 3.16/0.81 (zero_zero @ nat = one_one @ nat) | ($true = ((ord_less @ nat @ one_one @ nat @ zero_zero @ nat))) | ~spl0_93),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f5934])).
% 3.16/0.81 thf(f5957,plain,(
% 3.16/0.81 ($true = ((ord_less @ nat @ one_one @ nat @ zero_zero @ nat))) | ~spl0_93),
% 3.16/0.81 inference(forward_subsumption_resolution,[],[f5949,f2119])).
% 3.16/0.81 thf(f5962,plain,(
% 3.16/0.81 ($false = $true) | ~spl0_93),
% 3.16/0.81 inference(forward_demodulation,[],[f5957,f3206])).
% 3.16/0.81 thf(f5963,plain,(
% 3.16/0.81 $false | ~spl0_93),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f5962])).
% 3.16/0.81 thf(f5964,plain,(
% 3.16/0.81 ~spl0_93),
% 3.16/0.81 inference(avatar_contradiction_clause,[],[f5963])).
% 3.16/0.81 thf(f5965,plain,(
% 3.16/0.81 ($false != $false) | (one_one @ nat = ((suc @ (sK4 @ one_one @ nat)))) | spl0_93),
% 3.16/0.81 inference(superposition,[],[f5895,f3674])).
% 3.16/0.81 thf(f5975,plain,(
% 3.16/0.81 (one_one @ nat = ((suc @ (sK4 @ one_one @ nat)))) | spl0_93),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f5965])).
% 3.16/0.81 thf(f6104,plain,(
% 3.16/0.81 ( ! [X0 : nat] : ((((minus_minus @ nat @ one_one @ nat @ (suc @ X0))) = ((minus_minus @ nat @ (sK4 @ one_one @ nat) @ X0)))) ) | spl0_93),
% 3.16/0.81 inference(superposition,[],[f2821,f5975])).
% 3.16/0.81 thf(f6108,plain,(
% 3.16/0.81 (one_one @ nat != one_one @ nat) | (zero_zero @ nat = ((sK4 @ one_one @ nat))) | spl0_93),
% 3.16/0.81 inference(superposition,[],[f3331,f5975])).
% 3.16/0.81 thf(f6122,plain,(
% 3.16/0.81 (zero_zero @ nat = ((sK4 @ one_one @ nat))) | spl0_93),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f6108])).
% 3.16/0.81 thf(f8635,plain,(
% 3.16/0.81 ( ! [X0 : nat] : ((((minus_minus @ nat @ zero_zero @ nat @ X0)) = ((minus_minus @ nat @ one_one @ nat @ (suc @ X0))))) ) | spl0_93),
% 3.16/0.81 inference(forward_demodulation,[],[f6104,f6122])).
% 3.16/0.81 thf(f8650,plain,(
% 3.16/0.81 ( ! [X0 : nat] : ((zero_zero @ nat = ((minus_minus @ nat @ one_one @ nat @ (suc @ X0))))) ) | spl0_93),
% 3.16/0.81 inference(forward_demodulation,[],[f8635,f3198])).
% 3.16/0.81 thf(f8671,definition,(
% 3.16/0.81 spl0_274 <=> ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))))),
% 3.16/0.81 introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition])).
% 3.16/0.81 thf(f8673,plain,(
% 3.16/0.81 ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) | ~spl0_274),
% 3.16/0.81 inference(avatar_component_clause,[],[f8671])).
% 3.16/0.81 thf(f8789,plain,(
% 3.16/0.81 (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $true) | ($false = $true) | ~spl0_56),
% 3.16/0.81 inference(superposition,[],[f3439,f1962])).
% 3.16/0.81 thf(f8798,plain,(
% 3.16/0.81 (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $true) | ~spl0_56),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f8789])).
% 3.16/0.81 thf(f9239,plain,(
% 3.16/0.81 (zero_zero @ nat = ((minus_minus @ nat @ one_one @ nat @ nMsg))) | spl0_93),
% 3.16/0.81 inference(superposition,[],[f8650,f3704])).
% 3.16/0.81 thf(f9296,plain,(
% 3.16/0.81 (nMsg = ((minus_minus @ nat @ one_one @ nat @ zero_zero @ nat))) | ($false = ((ord_less_eq @ nat @ nMsg @ one_one @ nat))) | spl0_93),
% 3.16/0.81 inference(superposition,[],[f4243,f9239])).
% 3.16/0.81 thf(f10139,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = (((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: ((ord_less @ nat @ Y0 @ Y1) => ((ord_less_eq @ nat @ Y2 @ Y0) => (ord_less @ nat @ (minus_minus @ nat @ Y0 @ Y2) @ (minus_minus @ nat @ Y1 @ Y2))))))))) @ X1)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f1014])).
% 3.16/0.81 thf(f10140,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($true = ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ X1 @ Y0) => ((ord_less_eq @ nat @ Y1 @ X1) => (ord_less @ nat @ (minus_minus @ nat @ X1 @ Y1) @ (minus_minus @ nat @ Y0 @ Y1))))))))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f10139])).
% 3.16/0.81 thf(f10141,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = (((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ X1 @ Y0) => ((ord_less_eq @ nat @ Y1 @ X1) => (ord_less @ nat @ (minus_minus @ nat @ X1 @ Y1) @ (minus_minus @ nat @ Y0 @ Y1))))))) @ X2)))) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f10140])).
% 3.16/0.81 thf(f10142,plain,(
% 3.16/0.81 ( ! [X2 : nat,X1 : nat] : (($true = ((!! @ nat @ (^[Y0 : nat]: ((ord_less @ nat @ X1 @ X2) => ((ord_less_eq @ nat @ Y0 @ X1) => (ord_less @ nat @ (minus_minus @ nat @ X1 @ Y0) @ (minus_minus @ nat @ X2 @ Y0))))))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f10141])).
% 3.16/0.81 thf(f10228,plain,(
% 3.16/0.81 ( ! [X2 : nat,X3 : nat,X1 : nat] : (((((^[Y0 : nat]: ((ord_less @ nat @ X1 @ X2) => ((ord_less_eq @ nat @ Y0 @ X1) => (ord_less @ nat @ (minus_minus @ nat @ X1 @ Y0) @ (minus_minus @ nat @ X2 @ Y0))))) @ X3)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f10142])).
% 3.16/0.81 thf(f10229,plain,(
% 3.16/0.81 ( ! [X2 : nat,X3 : nat,X1 : nat] : (($true = (((ord_less @ nat @ X1 @ X2) => ((ord_less_eq @ nat @ X3 @ X1) => (ord_less @ nat @ (minus_minus @ nat @ X1 @ X3) @ (minus_minus @ nat @ X2 @ X3))))))) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f10228])).
% 3.16/0.81 thf(f10230,plain,(
% 3.16/0.81 ( ! [X2 : nat,X3 : nat,X1 : nat] : (($true = (((ord_less_eq @ nat @ X3 @ X1) => (ord_less @ nat @ (minus_minus @ nat @ X1 @ X3) @ (minus_minus @ nat @ X2 @ X3))))) | (((ord_less @ nat @ X1 @ X2)) = $false)) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f10229])).
% 3.16/0.81 thf(f10231,plain,(
% 3.16/0.81 ( ! [X2 : nat,X3 : nat,X1 : nat] : (($true = ((ord_less @ nat @ (minus_minus @ nat @ X1 @ X3) @ (minus_minus @ nat @ X2 @ X3)))) | (((ord_less @ nat @ X1 @ X2)) = $false) | ($false = ((ord_less_eq @ nat @ X3 @ X1)))) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f10230])).
% 3.16/0.81 thf(f10289,plain,(
% 3.16/0.81 ($false = $true) | ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) | (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $false)),
% 3.16/0.81 inference(superposition,[],[f10231,f3310])).
% 3.16/0.81 thf(f10292,plain,(
% 3.16/0.81 ($false = $true) | (((ord_less_eq @ nat @ (suc @ zero_zero @ nat) @ nMsg)) = $false) | ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))))),
% 3.16/0.81 inference(superposition,[],[f1122,f10231])).
% 3.16/0.81 thf(f10296,plain,(
% 3.16/0.81 (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $false) | ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))))),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f10289])).
% 3.16/0.81 thf(f10300,plain,(
% 3.16/0.81 (((ord_less_eq @ nat @ (suc @ zero_zero @ nat) @ nMsg)) = $false) | ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))))),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f10292])).
% 3.16/0.81 thf(f10304,plain,(
% 3.16/0.81 ($false = $true) | ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) | ~spl0_56),
% 3.16/0.81 inference(forward_demodulation,[],[f10296,f8798])).
% 3.16/0.81 thf(f10305,plain,(
% 3.16/0.81 ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) | ~spl0_56),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f10304])).
% 3.16/0.81 thf(f10316,plain,(
% 3.16/0.81 ($false = ((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) | (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $false)),
% 3.16/0.81 inference(forward_demodulation,[],[f10300,f1047])).
% 3.16/0.81 thf(f10349,plain,(
% 3.16/0.81 spl0_274 | ~spl0_56),
% 3.16/0.81 inference(avatar_split_clause,[],[f10305,f3437,f8671])).
% 3.16/0.81 thf(f10394,plain,(
% 3.16/0.81 (nMsg = one_one @ nat) | ($false = ((ord_less_eq @ nat @ nMsg @ one_one @ nat))) | spl0_93),
% 3.16/0.81 inference(forward_demodulation,[],[f9296,f3152])).
% 3.16/0.81 thf(f10397,definition,(
% 3.16/0.81 spl0_332 <=> (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $false)),
% 3.16/0.81 introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition])).
% 3.16/0.81 thf(f10399,plain,(
% 3.16/0.81 (((ord_less_eq @ nat @ one_one @ nat @ nMsg)) = $false) | ~spl0_332),
% 3.16/0.81 inference(avatar_component_clause,[],[f10397])).
% 3.16/0.81 thf(f10409,plain,(
% 3.16/0.81 spl0_332 | spl0_274),
% 3.16/0.81 inference(avatar_split_clause,[],[f10316,f8671,f10397])).
% 3.16/0.81 thf(f10413,plain,(
% 3.16/0.81 spl0_56 | spl0_42 | spl0_93),
% 3.16/0.81 inference(avatar_split_clause,[],[f10394,f5894,f2559,f3437])).
% 3.16/0.81 thf(f13096,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((^[Y0 : nat]: ((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ Y0) => (ord_less @ nat @ Y0 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) @ X1)) = $true)) )),
% 3.16/0.81 inference(pi_proxy_clausification,[],[f842])).
% 3.16/0.81 thf(f13097,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (((((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ X1) => (ord_less @ nat @ X1 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index))))) = $true)) )),
% 3.16/0.81 inference(beta-eta_normalization,[],[f13096])).
% 3.16/0.81 thf(f13098,plain,(
% 3.16/0.81 ( ! [X1 : nat] : (($false = ((firstOccurrence @ p @ v @ s @ (fe @ (suc @ index)) @ (ft @ (suc @ index)) @ msg @ X1))) | ($true = ((ord_less @ nat @ X1 @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))))) )),
% 3.16/0.81 inference(imp_proxy_clausification,[],[f13097])).
% 3.16/0.81 thf(f13130,plain,(
% 3.16/0.81 (((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))) = $true) | ($false = $true)),
% 3.16/0.81 inference(superposition,[],[f947,f13098])).
% 3.16/0.81 thf(f13133,plain,(
% 3.16/0.81 (((ord_less @ nat @ nMsg @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ index)))) = $true)),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f13130])).
% 3.16/0.81 thf(f13137,plain,(
% 3.16/0.81 ($false = $true) | ~spl0_274),
% 3.16/0.81 inference(forward_demodulation,[],[f13133,f8673])).
% 3.16/0.81 thf(f13138,plain,(
% 3.16/0.81 $false | ~spl0_274),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f13137])).
% 3.16/0.81 thf(f13139,plain,(
% 3.16/0.81 ~spl0_274),
% 3.16/0.81 inference(avatar_contradiction_clause,[],[f13138])).
% 3.16/0.81 thf(f13149,plain,(
% 3.16/0.81 (nMsg != one_one @ nat) | ($false = $true) | ~spl0_332),
% 3.16/0.81 inference(superposition,[],[f2040,f10399])).
% 3.16/0.81 thf(f13156,plain,(
% 3.16/0.81 (nMsg != one_one @ nat) | ~spl0_332),
% 3.16/0.81 inference(trivial_inequality_removal,[],[f13149])).
% 3.16/0.81 thf(f13163,plain,(
% 3.16/0.81 ~spl0_42 | ~spl0_332),
% 3.16/0.81 inference(avatar_split_clause,[],[f13156,f10397,f2559])).
% 3.16/0.81 cnf(s157, plain, ~spl0_93, inference(sat_conversion,[],[f5964])).
% 3.16/0.81 cnf(s572, plain, ~spl0_56 | spl0_274, inference(sat_conversion,[],[f10349])).
% 3.16/0.81 cnf(s590, plain, spl0_274 | spl0_332, inference(sat_conversion,[],[f10409])).
% 3.16/0.81 cnf(s592, plain, spl0_42 | spl0_56 | spl0_93, inference(sat_conversion,[],[f10413])).
% 3.16/0.81 cnf(s896, plain, ~spl0_274, inference(sat_conversion,[],[f13139])).
% 3.16/0.81 cnf(s899, plain, ~spl0_42 | ~spl0_332, inference(sat_conversion,[],[f13163])).
% 3.16/0.81 cnf(s913, plain, spl0_332, inference(rat,[],[s590,s896])).
% 3.16/0.81 cnf(s914, plain, ~spl0_42, inference(rat,[],[s899,s913])).
% 3.16/0.81 cnf(s917, plain, ~spl0_56, inference(rat,[],[s572,s896])).
% 3.16/0.81 cnf(s920, plain, spl0_93, inference(rat,[],[s592,s914,s917])).
% 3.16/0.81 cnf(s929, plain, $false, inference(rat,[],[s157,s920])).
% 3.16/0.81 thf(f13168,plain,(
% 3.16/0.81 $false),
% 3.16/0.81 inference(avatar_sat_refutation,[],[s929])).
% 3.16/0.81 % SZS output end Proof for theBenchmark
% 3.16/0.81 % (3641330)------------------------------
% 3.16/0.81 % (3641330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.81 % (3641330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.81 % (3641330)CaDiCaL version: 2.1.3
% 3.16/0.81 % (3641330)Termination reason: Refutation
% 3.16/0.81 % (3641330)Time elapsed: 0.336 s
% 3.16/0.81 % (3641330)Peak memory usage: 19 MB
% 3.16/0.81 % (3641330)Instructions burned: 1152 (million)
% 3.16/0.81 % (3641263)Success in time 0.558 s
% 3.16/0.81 % Vampire exiting
%------------------------------------------------------------------------------