%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV303^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:38:13 AM UTC 2026
% Result : Theorem 2.57s 0.67s
% Output : Refutation 2.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV303^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 15:34:29 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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
% 0.73/0.37 % (2645737)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.37 % (2645756)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1862757317:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.37 % (2645758)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.37 % (2645758)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
% 0.73/0.37 % (2645752)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=246135199:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.37 % (2645754)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3313651502:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.37 % (2645753)lrs+10_16_si=on:nwc=1.5:random_seed=47676822:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.37 % (2645755)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=2271094335: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)
% 0.73/0.37 % (2645756)Instruction limit reached!
% 0.73/0.37 % (2645756)------------------------------
% 0.73/0.37 % (2645756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2645756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2645757)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4101969992:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.37 % (2645756)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2645756)Termination reason: Instruction limit
% 0.73/0.37 % (2645756)Termination phase: Saturation
% 0.73/0.37 % (2645756)Time elapsed: 0.008 s
% 0.73/0.37 % (2645756)Peak memory usage: 12 MB
% 0.73/0.37 % (2645756)Instructions burned: 25 (million)
% 0.73/0.37 % (2645758)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=3715743102:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.37 % (2645754)Instruction limit reached!
% 0.73/0.37 % (2645754)------------------------------
% 0.73/0.37 % (2645754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2645754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2645754)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2645754)Termination reason: Instruction limit
% 0.73/0.37 % (2645754)Termination phase: Property scanning
% 0.73/0.37 % (2645754)Time elapsed: 0.002 s
% 0.73/0.37 % (2645754)Peak memory usage: 10 MB
% 0.73/0.37 % (2645754)Instructions burned: 3 (million)
% 0.73/0.37 % (2645753)Instruction limit reached!
% 0.73/0.37 % (2645753)------------------------------
% 0.73/0.37 % (2645753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2645753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2645753)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2645753)Termination reason: Instruction limit
% 0.73/0.37 % (2645753)Termination phase: Saturation
% 0.73/0.37 % (2645753)Time elapsed: 0.011 s
% 0.73/0.37 % (2645753)Peak memory usage: 12 MB
% 0.73/0.37 % (2645753)Instructions burned: 19 (million)
% 0.73/0.37 % (2645774)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2298435322:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.37 % (2645752)Refutation not found, incomplete strategy
% 0.73/0.37 % (2645752)------------------------------
% 0.73/0.37 % (2645752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2645752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2645752)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2645752)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (2645752)Time elapsed: 0.019 s
% 0.73/0.37 % (2645752)Peak memory usage: 12 MB
% 0.73/0.37 % (2645752)Instructions burned: 36 (million)
% 0.73/0.37 % (2645752)------------------------------
% 0.73/0.37 % (2645752)------------------------------
% 0.73/0.37 % (2645775)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3730515538:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.41 % (2645774)Instruction limit reached!
% 0.73/0.41 % (2645774)------------------------------
% 0.73/0.41 % (2645774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2645774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2645774)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2645774)Termination reason: Instruction limit
% 0.73/0.41 % (2645774)Termination phase: Property scanning
% 0.73/0.41 % (2645774)Time elapsed: 0.002 s
% 0.73/0.41 % (2645774)Peak memory usage: 11 MB
% 0.73/0.41 % (2645774)Instructions burned: 3 (million)
% 0.73/0.41 % (2645775)Instruction limit reached!
% 0.73/0.41 % (2645775)------------------------------
% 0.73/0.41 % (2645775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2645775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2645775)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2645775)Termination reason: Instruction limit
% 0.73/0.41 % (2645775)Termination phase: Saturation
% 0.73/0.41 % (2645775)Time elapsed: 0.003 s
% 0.73/0.41 % (2645775)Peak memory usage: 11 MB
% 0.73/0.41 % (2645775)Instructions burned: 6 (million)
% 0.73/0.41 % (2645780)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.41 % (2645780)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3579363543:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.41 % (2645780)Instruction limit reached!
% 0.73/0.41 % (2645780)------------------------------
% 0.73/0.41 % (2645780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2645780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2645780)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2645780)Termination reason: Instruction limit
% 0.73/0.41 % (2645780)Termination phase: Saturation
% 0.73/0.41 % (2645780)Time elapsed: 0.004 s
% 0.73/0.41 % (2645780)Peak memory usage: 12 MB
% 0.73/0.41 % (2645780)Instructions burned: 8 (million)
% 0.73/0.41 % (2645788)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
% 0.73/0.41 % (2645788)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.41 % (2645787)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2565183295:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.41 % (2645788)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2491597278:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.41 % (2645757)Instruction limit reached!
% 0.73/0.41 % (2645757)------------------------------
% 0.73/0.41 % (2645757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2645757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2645757)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2645757)Termination reason: Instruction limit
% 0.73/0.41 % (2645757)Termination phase: Saturation
% 0.73/0.41 % (2645757)Time elapsed: 0.039 s
% 0.73/0.41 % (2645757)Peak memory usage: 13 MB
% 0.73/0.41 % (2645757)Instructions burned: 77 (million)
% 0.73/0.41 % (2645791)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=694874727:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.41 % (2645787)Instruction limit reached!
% 0.73/0.41 % (2645787)------------------------------
% 0.73/0.41 % (2645787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2645787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2645787)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2645787)Termination reason: Instruction limit
% 0.73/0.41 % (2645787)Termination phase: Saturation
% 0.73/0.41 % (2645787)Time elapsed: 0.007 s
% 0.73/0.41 % (2645787)Peak memory usage: 12 MB
% 0.73/0.41 % (2645787)Instructions burned: 13 (million)
% 0.73/0.41 % (2645803)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.44 % (2645803)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=1298647348:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.44 % (2645803)Instruction limit reached!
% 0.73/0.44 % (2645803)------------------------------
% 0.73/0.44 % (2645803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2645803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2645803)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2645803)Termination reason: Instruction limit
% 0.73/0.44 % (2645803)Termination phase: Function definition elimination
% 0.73/0.44 % (2645803)Time elapsed: 0.0000 s
% 0.73/0.44 % (2645803)Peak memory usage: 10 MB
% 0.73/0.44 % (2645803)Instructions burned: 2 (million)
% 0.73/0.44 % (2645797)lrs+10_1_si=on:cs=on:random_seed=1483801804:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.44 % (2645788)Instruction limit reached!
% 0.73/0.44 % (2645788)------------------------------
% 0.73/0.44 % (2645788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2645788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2645788)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2645788)Termination reason: Instruction limit
% 0.73/0.44 % (2645788)Termination phase: Saturation
% 0.73/0.44 % (2645788)Time elapsed: 0.014 s
% 0.73/0.44 % (2645788)Peak memory usage: 12 MB
% 0.73/0.44 % (2645788)Instructions burned: 29 (million)
% 0.73/0.44 % (2645797)Instruction limit reached!
% 0.73/0.44 % (2645797)------------------------------
% 0.73/0.44 % (2645797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2645797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2645797)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2645797)Termination reason: Instruction limit
% 0.73/0.44 % (2645797)Termination phase: Saturation
% 0.73/0.44 % (2645797)Time elapsed: 0.005 s
% 0.73/0.44 % (2645797)Peak memory usage: 11 MB
% 0.73/0.44 % (2645797)Instructions burned: 11 (million)
% 0.73/0.44 % (2645808)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4107588844:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.44 % (2645814)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1933536123:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.44 % (2645821)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3564493740:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.44 % (2645818)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2783309964:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.73/0.44 % (2645821)Instruction limit reached!
% 0.73/0.44 % (2645821)------------------------------
% 0.73/0.44 % (2645821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2645821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2645821)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2645821)Termination reason: Instruction limit
% 0.73/0.44 % (2645821)Termination phase: Saturation
% 0.73/0.44 % (2645821)Time elapsed: 0.005 s
% 0.73/0.44 % (2645821)Peak memory usage: 12 MB
% 0.73/0.44 % (2645821)Instructions burned: 16 (million)
% 0.73/0.44 % (2645758)Instruction limit reached!
% 0.73/0.44 % (2645758)------------------------------
% 0.73/0.44 % (2645758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2645758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2645758)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2645758)Termination reason: Instruction limit
% 0.73/0.44 % (2645758)Termination phase: Saturation
% 0.73/0.44 % (2645758)Time elapsed: 0.074 s
% 0.73/0.44 % (2645758)Peak memory usage: 13 MB
% 0.73/0.44 % (2645758)Instructions burned: 158 (million)
% 0.73/0.44 % (2645808)Refutation not found, incomplete strategy
% 0.73/0.44 % (2645808)------------------------------
% 0.73/0.44 % (2645808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2645808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2645808)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2645808)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.49 % (2645808)Time elapsed: 0.014 s
% 1.45/0.49 % (2645808)Peak memory usage: 12 MB
% 1.45/0.49 % (2645808)Instructions burned: 22 (million)
% 1.45/0.49 % (2645808)------------------------------
% 1.45/0.49 % (2645808)------------------------------
% 1.45/0.49 % (2645830)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2027875313:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.45/0.49 % (2645791)Instruction limit reached!
% 1.45/0.49 % (2645791)------------------------------
% 1.45/0.49 % (2645791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2645791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2645791)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2645791)Termination reason: Instruction limit
% 1.45/0.49 % (2645791)Termination phase: Saturation
% 1.45/0.49 % (2645791)Time elapsed: 0.043 s
% 1.45/0.49 % (2645791)Peak memory usage: 13 MB
% 1.45/0.49 % (2645791)Instructions burned: 89 (million)
% 1.45/0.49 % (2645818)Instruction limit reached!
% 1.45/0.49 % (2645818)------------------------------
% 1.45/0.49 % (2645818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2645818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2645818)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2645818)Termination reason: Instruction limit
% 1.45/0.49 % (2645818)Termination phase: Saturation
% 1.45/0.49 % (2645818)Time elapsed: 0.016 s
% 1.45/0.49 % (2645818)Peak memory usage: 12 MB
% 1.45/0.49 % (2645818)Instructions burned: 26 (million)
% 1.45/0.49 % (2645832)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=831427301:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.49 % (2645834)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1587603795: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)
% 1.45/0.49 % (2645834)Instruction limit reached!
% 1.45/0.49 % (2645834)------------------------------
% 1.45/0.49 % (2645834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2645834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2645834)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2645834)Termination reason: Instruction limit
% 1.45/0.49 % (2645834)Termination phase: Twee Goal Transformation
% 1.45/0.49 % (2645834)Time elapsed: 0.002 s
% 1.45/0.49 % (2645834)Peak memory usage: 11 MB
% 1.45/0.49 % (2645834)Instructions burned: 4 (million)
% 1.45/0.49 % (2645832)Instruction limit reached!
% 1.45/0.49 % (2645832)------------------------------
% 1.45/0.49 % (2645832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2645832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2645832)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2645832)Termination reason: Instruction limit
% 1.45/0.49 % (2645832)Termination phase: Saturation
% 1.45/0.49 % (2645832)Time elapsed: 0.008 s
% 1.45/0.49 % (2645832)Peak memory usage: 12 MB
% 1.45/0.49 % (2645832)Instructions burned: 16 (million)
% 1.45/0.49 % (2645838)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2968123062:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.45/0.49 % (2645840)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=27353556:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.49 % (2645849)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
% 1.45/0.49 % (2645849)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.45/0.49 % (2645840)Instruction limit reached!
% 1.45/0.49 % (2645840)------------------------------
% 1.45/0.49 % (2645840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2645840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2645840)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2645840)Termination reason: Instruction limit
% 1.45/0.49 % (2645840)Termination phase: Saturation
% 1.45/0.49 % (2645840)Time elapsed: 0.012 s
% 1.45/0.49 % (2645840)Peak memory usage: 12 MB
% 1.45/0.51 % (2645840)Instructions burned: 23 (million)
% 1.45/0.51 % (2645847)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1034870584:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.45/0.51 % (2645838)Refutation not found, incomplete strategy
% 1.45/0.51 % (2645838)------------------------------
% 1.45/0.51 % (2645838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.51 % (2645838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.51 % (2645838)CaDiCaL version: 2.1.3
% 1.45/0.51 % (2645838)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.51 % (2645838)Time elapsed: 0.014 s
% 1.45/0.51 % (2645838)Peak memory usage: 12 MB
% 1.45/0.51 % (2645838)Instructions burned: 27 (million)
% 1.45/0.51 % (2645838)------------------------------
% 1.45/0.51 % (2645838)------------------------------
% 1.45/0.51 % (2645849)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=519643342:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.51 % (2645849)Instruction limit reached!
% 1.45/0.51 % (2645849)------------------------------
% 1.45/0.51 % (2645849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.51 % (2645849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.51 % (2645849)CaDiCaL version: 2.1.3
% 1.45/0.51 % (2645849)Termination reason: Instruction limit
% 1.45/0.51 % (2645849)Termination phase: Saturation
% 1.45/0.51 % (2645849)Time elapsed: 0.007 s
% 1.45/0.51 % (2645849)Peak memory usage: 12 MB
% 1.45/0.51 % (2645849)Instructions burned: 14 (million)
% 1.45/0.51 % (2645862)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.45/0.51 % (2645862)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=1259468356:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.45/0.51 % (2645864)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=486305049:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.45/0.51 % (2645862)Instruction limit reached!
% 1.45/0.51 % (2645862)------------------------------
% 1.45/0.51 % (2645862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.51 % (2645862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.51 % (2645862)CaDiCaL version: 2.1.3
% 1.45/0.51 % (2645862)Termination reason: Instruction limit
% 1.45/0.51 % (2645862)Termination phase: Saturation
% 1.45/0.51 % (2645862)Time elapsed: 0.007 s
% 1.45/0.51 % (2645862)Peak memory usage: 12 MB
% 1.45/0.51 % (2645862)Instructions burned: 12 (million)
% 1.45/0.51 % (2645866)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=533755263:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.51 % (2645866)Instruction limit reached!
% 1.45/0.51 % (2645866)------------------------------
% 1.45/0.51 % (2645866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.51 % (2645866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2645866)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2645866)Termination reason: Instruction limit
% 1.45/0.52 % (2645866)Termination phase: Saturation
% 1.45/0.52 % (2645866)Time elapsed: 0.004 s
% 1.45/0.52 % (2645866)Peak memory usage: 11 MB
% 1.45/0.52 % (2645866)Instructions burned: 8 (million)
% 1.45/0.52 % (2645847)Instruction limit reached!
% 1.45/0.52 % (2645847)------------------------------
% 1.45/0.52 % (2645847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2645847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2645847)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2645847)Termination reason: Instruction limit
% 1.45/0.52 % (2645847)Termination phase: Saturation
% 1.45/0.52 % (2645847)Time elapsed: 0.036 s
% 1.45/0.52 % (2645847)Peak memory usage: 12 MB
% 1.45/0.52 % (2645847)Instructions burned: 60 (million)
% 1.45/0.52 % (2645864)Instruction limit reached!
% 1.45/0.52 % (2645864)------------------------------
% 1.45/0.52 % (2645864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2645864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.57 % (2645864)CaDiCaL version: 2.1.3
% 2.20/0.57 % (2645864)Termination reason: Instruction limit
% 2.20/0.57 % (2645864)Termination phase: Saturation
% 2.20/0.57 % (2645864)Time elapsed: 0.015 s
% 2.20/0.57 % (2645864)Peak memory usage: 12 MB
% 2.20/0.57 % (2645864)Instructions burned: 32 (million)
% 2.20/0.57 % (2645872)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=316229762:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.20/0.57 % (2645830)Instruction limit reached!
% 2.20/0.57 % (2645830)------------------------------
% 2.20/0.57 % (2645830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.57 % (2645830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.57 % (2645830)CaDiCaL version: 2.1.3
% 2.20/0.57 % (2645830)Termination reason: Instruction limit
% 2.20/0.57 % (2645830)Termination phase: Saturation
% 2.20/0.57 % (2645830)Time elapsed: 0.084 s
% 2.20/0.57 % (2645830)Peak memory usage: 14 MB
% 2.20/0.57 % (2645830)Instructions burned: 330 (million)
% 2.20/0.57 % (2645877)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1249426141:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.20/0.57 % (2645878)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3600030076:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.20/0.57 % (2645872)Instruction limit reached!
% 2.20/0.57 % (2645872)------------------------------
% 2.20/0.57 % (2645872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.57 % (2645872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.57 % (2645872)CaDiCaL version: 2.1.3
% 2.20/0.57 % (2645872)Termination reason: Instruction limit
% 2.20/0.57 % (2645872)Termination phase: Saturation
% 2.20/0.57 % (2645872)Time elapsed: 0.011 s
% 2.20/0.57 % (2645872)Peak memory usage: 12 MB
% 2.20/0.57 % (2645872)Instructions burned: 25 (million)
% 2.20/0.57 % (2645879)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1344218809:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.20/0.57 % (2645885)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2485737577:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.20/0.57 % (2645814)Instruction limit reached!
% 2.20/0.57 % (2645814)------------------------------
% 2.20/0.57 % (2645814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.57 % (2645814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.57 % (2645814)CaDiCaL version: 2.1.3
% 2.20/0.57 % (2645814)Termination reason: Instruction limit
% 2.20/0.57 % (2645814)Termination phase: Saturation
% 2.20/0.57 % (2645814)Time elapsed: 0.118 s
% 2.20/0.57 % (2645814)Peak memory usage: 13 MB
% 2.20/0.57 % (2645814)Instructions burned: 250 (million)
% 2.20/0.57 % (2645877)Instruction limit reached!
% 2.20/0.57 % (2645877)------------------------------
% 2.20/0.57 % (2645877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.57 % (2645877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.57 % (2645877)CaDiCaL version: 2.1.3
% 2.20/0.57 % (2645877)Termination reason: Instruction limit
% 2.20/0.57 % (2645877)Termination phase: Saturation
% 2.20/0.57 % (2645877)Time elapsed: 0.012 s
% 2.20/0.57 % (2645877)Peak memory usage: 13 MB
% 2.20/0.57 % (2645877)Instructions burned: 21 (million)
% 2.20/0.57 % (2645892)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1953492058:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.20/0.57 % (2645878)Refutation not found, incomplete strategy
% 2.20/0.57 % (2645878)------------------------------
% 2.20/0.57 % (2645878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.57 % (2645878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.57 % (2645878)CaDiCaL version: 2.1.3
% 2.20/0.57 % (2645878)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.57 % (2645878)Time elapsed: 0.021 s
% 2.20/0.57 % (2645878)Peak memory usage: 13 MB
% 2.20/0.57 % (2645878)Instructions burned: 40 (million)
% 2.20/0.57 % (2645885)Refutation not found, incomplete strategy
% 2.20/0.57 % (2645885)------------------------------
% 2.20/0.57 % (2645885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2645885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2645885)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2645885)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.62 % (2645885)Time elapsed: 0.018 s
% 2.20/0.62 % (2645885)Peak memory usage: 13 MB
% 2.20/0.62 % (2645885)Instructions burned: 60 (million)
% 2.20/0.62 % (2645878)------------------------------
% 2.20/0.62 % (2645878)------------------------------
% 2.20/0.62 % (2645885)------------------------------
% 2.20/0.62 % (2645885)------------------------------
% 2.20/0.62 % (2645897)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.20/0.62 % (2645897)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2554315118:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.20/0.62 % (2645900)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3487107904:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.20/0.62 % (2645904)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.20/0.62 % (2645897)Instruction limit reached!
% 2.20/0.62 % (2645897)------------------------------
% 2.20/0.62 % (2645897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2645897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2645897)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2645897)Termination reason: Instruction limit
% 2.20/0.62 % (2645897)Termination phase: Saturation
% 2.20/0.62 % (2645897)Time elapsed: 0.004 s
% 2.20/0.62 % (2645897)Peak memory usage: 12 MB
% 2.20/0.62 % (2645897)Instructions burned: 8 (million)
% 2.20/0.62 % (2645904)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=957918444:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.20/0.62 % (2645904)Instruction limit reached!
% 2.20/0.62 % (2645904)------------------------------
% 2.20/0.62 % (2645904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2645904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2645904)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2645904)Termination reason: Instruction limit
% 2.20/0.62 % (2645904)Termination phase: Saturation
% 2.20/0.62 % (2645904)Time elapsed: 0.002 s
% 2.20/0.62 % (2645904)Peak memory usage: 11 MB
% 2.20/0.62 % (2645904)Instructions burned: 8 (million)
% 2.20/0.62 % (2645903)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=2530696618:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.20/0.62 % (2645892)Instruction limit reached!
% 2.20/0.62 % (2645892)------------------------------
% 2.20/0.62 % (2645892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2645892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2645892)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2645892)Termination reason: Instruction limit
% 2.20/0.62 % (2645892)Termination phase: Saturation
% 2.20/0.62 % (2645892)Time elapsed: 0.022 s
% 2.20/0.62 % (2645892)Peak memory usage: 12 MB
% 2.20/0.62 % (2645892)Instructions burned: 43 (million)
% 2.20/0.62 % (2645912)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1528919881:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.20/0.62 % (2645910)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1569613373:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.20/0.62 % (2645912)Instruction limit reached!
% 2.20/0.62 % (2645912)------------------------------
% 2.20/0.62 % (2645912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2645912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2645912)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2645912)Termination reason: Instruction limit
% 2.20/0.62 % (2645912)Termination phase: Saturation
% 2.20/0.62 % (2645912)Time elapsed: 0.005 s
% 2.20/0.62 % (2645912)Peak memory usage: 12 MB
% 2.20/0.62 % (2645912)Instructions burned: 20 (million)
% 2.57/0.67 % (2645903)Refutation not found, incomplete strategy
% 2.57/0.67 % (2645903)------------------------------
% 2.57/0.67 % (2645903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645903)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645903)Termination reason: Refutation not found, incomplete strategy
% 2.57/0.67 % (2645903)Time elapsed: 0.012 s
% 2.57/0.67 % (2645903)Peak memory usage: 12 MB
% 2.57/0.67 % (2645903)Instructions burned: 22 (million)
% 2.57/0.67 % (2645903)------------------------------
% 2.57/0.67 % (2645903)------------------------------
% 2.57/0.67 % (2645910)Instruction limit reached!
% 2.57/0.67 % (2645910)------------------------------
% 2.57/0.67 % (2645910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645910)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645910)Termination reason: Instruction limit
% 2.57/0.67 % (2645910)Termination phase: Saturation
% 2.57/0.67 % (2645910)Time elapsed: 0.011 s
% 2.57/0.67 % (2645910)Peak memory usage: 12 MB
% 2.57/0.67 % (2645910)Instructions burned: 22 (million)
% 2.57/0.67 % (2645927)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=2536786775:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.57/0.67 % (2645919)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=1493880134:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.57/0.67 % (2645930)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=1402441167:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.57/0.67 % (2645938)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2911285148:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.57/0.67 % (2645879)Instruction limit reached!
% 2.57/0.67 % (2645879)------------------------------
% 2.57/0.67 % (2645879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645879)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645879)Termination reason: Instruction limit
% 2.57/0.67 % (2645879)Termination phase: Saturation
% 2.57/0.67 % (2645879)Time elapsed: 0.079 s
% 2.57/0.67 % (2645879)Peak memory usage: 14 MB
% 2.57/0.67 % (2645879)Instructions burned: 144 (million)
% 2.57/0.67 % (2645938)Refutation not found, incomplete strategy
% 2.57/0.67 % (2645938)------------------------------
% 2.57/0.67 % (2645938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645938)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645938)Termination reason: Refutation not found, incomplete strategy
% 2.57/0.67 % (2645938)Time elapsed: 0.004 s
% 2.57/0.67 % (2645938)Peak memory usage: 12 MB
% 2.57/0.67 % (2645938)Instructions burned: 6 (million)
% 2.57/0.67 % (2645938)------------------------------
% 2.57/0.67 % (2645938)------------------------------
% 2.57/0.67 % (2645755)Instruction limit reached!
% 2.57/0.67 % (2645755)------------------------------
% 2.57/0.67 % (2645755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645755)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645755)Termination reason: Instruction limit
% 2.57/0.67 % (2645755)Termination phase: Saturation
% 2.57/0.67 % (2645755)Time elapsed: 0.268 s
% 2.57/0.67 % (2645755)Peak memory usage: 13 MB
% 2.57/0.67 % (2645755)Instructions burned: 636 (million)
% 2.57/0.67 % (2645957)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.67 % (2645955)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2959740586:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.57/0.67 % (2645930)Instruction limit reached!
% 2.57/0.67 % (2645930)------------------------------
% 2.57/0.67 % (2645930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645930)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645930)Termination reason: Instruction limit
% 2.57/0.67 % (2645930)Termination phase: Saturation
% 2.57/0.67 % (2645930)Time elapsed: 0.028 s
% 2.57/0.67 % (2645930)Peak memory usage: 12 MB
% 2.57/0.67 % (2645930)Instructions burned: 46 (million)
% 2.57/0.67 % (2645957)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3759013426:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.57/0.67 % (2645961)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=926510794:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.57/0.67 % (2645955)Instruction limit reached!
% 2.57/0.67 % (2645955)------------------------------
% 2.57/0.67 % (2645955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645955)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645955)Termination reason: Instruction limit
% 2.57/0.67 % (2645955)Termination phase: Saturation
% 2.57/0.67 % (2645955)Time elapsed: 0.012 s
% 2.57/0.67 % (2645955)Peak memory usage: 12 MB
% 2.57/0.67 % (2645955)Instructions burned: 22 (million)
% 2.57/0.67 % (2645961)Instruction limit reached!
% 2.57/0.67 % (2645961)------------------------------
% 2.57/0.67 % (2645961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645961)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645961)Termination reason: Instruction limit
% 2.57/0.67 % (2645961)Termination phase: Saturation
% 2.57/0.67 % (2645961)Time elapsed: 0.008 s
% 2.57/0.67 % (2645961)Peak memory usage: 12 MB
% 2.57/0.67 % (2645961)Instructions burned: 14 (million)
% 2.57/0.67 % (2645964)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=2108047526:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.57/0.67 % (2645900)Instruction limit reached!
% 2.57/0.67 % (2645900)------------------------------
% 2.57/0.67 % (2645900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645900)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645900)Termination reason: Instruction limit
% 2.57/0.67 % (2645900)Termination phase: Saturation
% 2.57/0.67 % (2645900)Time elapsed: 0.095 s
% 2.57/0.67 % (2645900)Peak memory usage: 14 MB
% 2.57/0.67 % (2645900)Instructions burned: 181 (million)
% 2.57/0.67 % (2645970)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1208259684:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.57/0.67 % (2645971)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3756976680:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.57/0.67 % (2645973)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3207488537:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.57/0.67 % (2645971)Instruction limit reached!
% 2.57/0.67 % (2645971)------------------------------
% 2.57/0.67 % (2645971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645971)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645971)Termination reason: Instruction limit
% 2.57/0.67 % (2645971)Termination phase: Saturation
% 2.57/0.67 % (2645971)Time elapsed: 0.015 s
% 2.57/0.67 % (2645971)Peak memory usage: 12 MB
% 2.57/0.67 % (2645971)Instructions burned: 33 (million)
% 2.57/0.67 % (2645964)Instruction limit reached!
% 2.57/0.67 % (2645964)------------------------------
% 2.57/0.67 % (2645964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645964)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645964)Termination reason: Instruction limit
% 2.57/0.67 % (2645964)Termination phase: Saturation
% 2.57/0.67 % (2645964)Time elapsed: 0.038 s
% 2.57/0.67 % (2645964)Peak memory usage: 13 MB
% 2.57/0.67 % (2645964)Instructions burned: 67 (million)
% 2.57/0.67 % (2645970)Instruction limit reached!
% 2.57/0.67 % (2645970)------------------------------
% 2.57/0.67 % (2645970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645970)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645970)Termination reason: Instruction limit
% 2.57/0.67 % (2645970)Termination phase: Saturation
% 2.57/0.67 % (2645970)Time elapsed: 0.027 s
% 2.57/0.67 % (2645970)Peak memory usage: 12 MB
% 2.57/0.67 % (2645970)Instructions burned: 52 (million)
% 2.57/0.67 % (2645977)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=2005599779:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.57/0.67 % (2645979)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.57/0.67 % (2645978)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1562188087:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.57/0.67 % (2645979)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1700288308:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.57/0.67 % (2645977)Instruction limit reached!
% 2.57/0.67 % (2645977)------------------------------
% 2.57/0.67 % (2645977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645977)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645977)Termination reason: Instruction limit
% 2.57/0.67 % (2645977)Termination phase: Saturation
% 2.57/0.67 % (2645977)Time elapsed: 0.017 s
% 2.57/0.67 % (2645977)Peak memory usage: 12 MB
% 2.57/0.67 % (2645977)Instructions burned: 34 (million)
% 2.57/0.67 % (2645957)Instruction limit reached!
% 2.57/0.67 % (2645957)------------------------------
% 2.57/0.67 % (2645957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645957)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645957)Termination reason: Instruction limit
% 2.57/0.67 % (2645957)Termination phase: Saturation
% 2.57/0.67 % (2645957)Time elapsed: 0.093 s
% 2.57/0.67 % (2645957)Peak memory usage: 12 MB
% 2.57/0.67 % (2645957)Instructions burned: 201 (million)
% 2.57/0.67 % (2645973) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2645737-2645973"...
% 2.57/0.67 % (2645973)...printing done.
% 2.57/0.67 % (2645973)Refutation found. Thanks to Tanya!
% 2.57/0.67 % SZS status Theorem for theBenchmark
% 2.57/0.67 % SZS output start Proof for theBenchmark
% 2.57/0.67 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.57/0.67 thf(func_def_0, type, cNAT: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_1, type, cSUCC: ((($i > $o) > $o) > ($i > $o) > $o)).
% 2.57/0.67 thf(func_def_2, type, cZERO: (($i > $o) > $o)).
% 2.57/0.67 thf(func_def_4, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.57/0.67 thf(func_def_5, type, vAND: ($o > $o > $o)).
% 2.57/0.67 thf(func_def_6, type, db1: !>[X0: $tType]:(X0)).
% 2.57/0.67 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 2.57/0.67 thf(func_def_8, type, db2: !>[X0: $tType]:(X0)).
% 2.57/0.67 thf(func_def_9, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.57/0.67 thf(func_def_10, type, vNOT: ($o > $o)).
% 2.57/0.67 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.57/0.67 thf(func_def_14, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.57/0.67 thf(func_def_15, type, vIMP: ($o > $o > $o)).
% 2.57/0.67 thf(func_def_16, type, sP0: (((($i > $o) > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_17, type, sK1: (((($i > $o) > $o) > $o) > ($i > $o) > $o)).
% 2.57/0.67 thf(func_def_18, type, sK2: (((($i > $o) > $o) > $o) > ($i > $o) > $o)).
% 2.57/0.67 thf(func_def_19, type, sK3: (((($i > $o) > $o) > $o) > (($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_20, type, sK4: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_21, type, sK5: (($i > $o) > $o)).
% 2.57/0.67 thf(func_def_22, type, sK6: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_23, type, sF7: $o).
% 2.57/0.67 thf(func_def_24, type, sF8: $o).
% 2.57/0.67 thf(func_def_25, type, sF9: $o).
% 2.57/0.67 thf(func_def_26, type, sF10: $o).
% 2.57/0.67 thf(func_def_27, type, sF11: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_28, type, sF12: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_29, type, sF13: $o).
% 2.57/0.67 thf(func_def_30, type, sF14: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_31, type, sF15: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_32, type, sF16: ((($i > $o) > $o) > $o)).
% 2.57/0.67 thf(func_def_34, type, sK18: (($i > $o) > $i)).
% 2.57/0.67 thf(func_def_35, type, sK19: ((($i > $o) > $o) > ($i > $o) > $i)).
% 2.57/0.67 thf(func_def_36, type, sK20: (((($i > $o) > $o) > $o) > ($i > $o) > $o)).
% 2.57/0.67 thf(func_def_37, type, sK21: ((($i > $o) > $o) > (($i > $o) > $o) > $o)).
% 2.57/0.67 thf(f3,axiom,(
% 2.57/0.67 ((^[X0 : (($i > $o) > $o)] : (! [X1 : ((($i > $o) > $o) > $o)] : (((X1 @ cZERO) & ! [X2 : (($i > $o) > $o)] : ((X1 @ X2) => (X1 @ (cSUCC @ X2)))) => (X1 @ X0)))) = cNAT)),
% 2.57/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNAT_def)).
% 2.57/0.67 thf(f4,conjecture,(
% 2.57/0.67 ! [X0 : ((($i > $o) > $o) > $o)] : ((! [X1 : (($i > $o) > $o)] : ((cNAT @ X1) => ((X0 @ X1) => (X0 @ (cSUCC @ X1)))) & (X0 @ cZERO)) => ! [X2 : (($i > $o) > $o)] : ((((X0 @ cZERO) & ! [X3 : ((($i > $o) > $o) > $o)] : (((X3 @ cZERO) & ! [X1 : (($i > $o) > $o)] : ((X3 @ X1) => (X3 @ (cSUCC @ X1)))) => (X3 @ cZERO)) & ! [X1 : (($i > $o) > $o)] : (((X0 @ X1) & ! [X3 : ((($i > $o) > $o) > $o)] : (((X3 @ cZERO) & ! [X4 : (($i > $o) > $o)] : ((X3 @ X4) => (X3 @ (cSUCC @ X4)))) => (X3 @ X1))) => (! [X3 : ((($i > $o) > $o) > $o)] : ((! [X4 : (($i > $o) > $o)] : ((X3 @ X4) => (X3 @ (cSUCC @ X4))) & (X3 @ cZERO)) => (X3 @ (cSUCC @ X1))) & (X0 @ (cSUCC @ X1))))) => ((X0 @ X2) & (cNAT @ X2))) => (X0 @ X2)))),
% 2.57/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX6102_C)).
% 2.57/0.67 thf(f5,negated_conjecture,(
% 2.57/0.67 ~ ! [X0 : ((($i > $o) > $o) > $o)] : ((! [X1 : (($i > $o) > $o)] : ((cNAT @ X1) => ((X0 @ X1) => (X0 @ (cSUCC @ X1)))) & (X0 @ cZERO)) => ! [X2 : (($i > $o) > $o)] : ((((X0 @ cZERO) & ! [X3 : ((($i > $o) > $o) > $o)] : (((X3 @ cZERO) & ! [X1 : (($i > $o) > $o)] : ((X3 @ X1) => (X3 @ (cSUCC @ X1)))) => (X3 @ cZERO)) & ! [X1 : (($i > $o) > $o)] : (((X0 @ X1) & ! [X3 : ((($i > $o) > $o) > $o)] : (((X3 @ cZERO) & ! [X4 : (($i > $o) > $o)] : ((X3 @ X4) => (X3 @ (cSUCC @ X4)))) => (X3 @ X1))) => (! [X3 : ((($i > $o) > $o) > $o)] : ((! [X4 : (($i > $o) > $o)] : ((X3 @ X4) => (X3 @ (cSUCC @ X4))) & (X3 @ cZERO)) => (X3 @ (cSUCC @ X1))) & (X0 @ (cSUCC @ X1))))) => ((X0 @ X2) & (cNAT @ X2))) => (X0 @ X2)))),
% 2.57/0.67 inference(negated_conjecture,[status(cth)],[f4])).
% 2.57/0.67 thf(f10,plain,(
% 2.57/0.67 ~ ! [X0 : ((($i > $o) > $o) > $o)] : ((! [X1 : (($i > $o) > $o)] : ((cNAT @ X1) => ((X0 @ X1) => (X0 @ (cSUCC @ X1)))) & (X0 @ cZERO)) => ! [X2 : (($i > $o) > $o)] : ((((X0 @ cZERO) & ! [X3 : ((($i > $o) > $o) > $o)] : (((X3 @ cZERO) & ! [X4 : (($i > $o) > $o)] : ((X3 @ X4) => (X3 @ (cSUCC @ X4)))) => (X3 @ cZERO)) & ! [X5 : (($i > $o) > $o)] : (((X0 @ X5) & ! [X6 : ((($i > $o) > $o) > $o)] : (((X6 @ cZERO) & ! [X7 : (($i > $o) > $o)] : ((X6 @ X7) => (X6 @ (cSUCC @ X7)))) => (X6 @ X5))) => (! [X8 : ((($i > $o) > $o) > $o)] : ((! [X9 : (($i > $o) > $o)] : ((X8 @ X9) => (X8 @ (cSUCC @ X9))) & (X8 @ cZERO)) => (X8 @ (cSUCC @ X5))) & (X0 @ (cSUCC @ X5))))) => ((X0 @ X2) & (cNAT @ X2))) => (X0 @ X2)))),
% 2.57/0.67 inference(rectify,[],[f5])).
% 2.57/0.67 thf(f11,plain,(
% 2.57/0.67 ~ ! [X0 : ((($i > $o) > $o) > $o)] : ((! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $true) => ((((X0 @ X1)) = $true) => (((X0 @ (cSUCC @ X1))) = $true))) & (((X0 @ cZERO)) = $true)) => ! [X2 : (($i > $o) > $o)] : (((! [X5 : (($i > $o) > $o)] : ((! [X6 : ((($i > $o) > $o) > $o)] : (((((X6 @ cZERO)) = $true) & ! [X7 : (($i > $o) > $o)] : ((((X6 @ X7)) = $true) => (((X6 @ (cSUCC @ X7))) = $true))) => (((X6 @ X5)) = $true)) & (((X0 @ X5)) = $true)) => ((((X0 @ (cSUCC @ X5))) = $true) & ! [X8 : ((($i > $o) > $o) > $o)] : ((! [X9 : (($i > $o) > $o)] : (($true = ((X8 @ X9))) => (((X8 @ (cSUCC @ X9))) = $true)) & (((X8 @ cZERO)) = $true)) => (((X8 @ (cSUCC @ X5))) = $true)))) & ! [X3 : ((($i > $o) > $o) > $o)] : ((! [X4 : (($i > $o) > $o)] : ((((X3 @ X4)) = $true) => (((X3 @ (cSUCC @ X4))) = $true)) & (((X3 @ cZERO)) = $true)) => (((X3 @ cZERO)) = $true)) & (((X0 @ cZERO)) = $true)) => ((((cNAT @ X2)) = $true) & (((X0 @ X2)) = $true))) => (((X0 @ X2)) = $true)))),
% 2.57/0.67 inference(fool_elimination,[],[f10])).
% 2.57/0.67 thf(f12,plain,(
% 2.57/0.67 ((^[X0 : (($i > $o) > $o)] : (! [X1 : ((($i > $o) > $o) > $o)] : (((X1 @ cZERO) & ! [X2 : (($i > $o) > $o)] : ((X1 @ X2) => (X1 @ (cSUCC @ X2)))) => (X1 @ X0)))) = cNAT)),
% 2.57/0.67 inference(rectify,[],[f3])).
% 2.57/0.67 thf(f13,plain,(
% 2.57/0.67 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2))))) & (Y1 @ cZERO)) => (Y1 @ Y0))))))),
% 2.57/0.67 inference(fool_elimination,[],[f12])).
% 2.57/0.67 thf(f14,plain,(
% 2.57/0.67 ? [X0 : ((($i > $o) > $o) > $o)] : (? [X2 : (($i > $o) > $o)] : ((((X0 @ X2)) != $true) & (((((cNAT @ X2)) = $true) & (((X0 @ X2)) = $true)) | (? [X5 : (($i > $o) > $o)] : (((((X0 @ (cSUCC @ X5))) != $true) | ? [X8 : ((($i > $o) > $o) > $o)] : ((((X8 @ (cSUCC @ X5))) != $true) & (! [X9 : (($i > $o) > $o)] : ((((X8 @ (cSUCC @ X9))) = $true) | ($true != ((X8 @ X9)))) & (((X8 @ cZERO)) = $true)))) & (! [X6 : ((($i > $o) > $o) > $o)] : ((((X6 @ X5)) = $true) | ((((X6 @ cZERO)) != $true) | ? [X7 : (($i > $o) > $o)] : ((((X6 @ X7)) = $true) & (((X6 @ (cSUCC @ X7))) != $true)))) & (((X0 @ X5)) = $true))) | ? [X3 : ((($i > $o) > $o) > $o)] : ((((X3 @ cZERO)) != $true) & (! [X4 : (($i > $o) > $o)] : ((((X3 @ (cSUCC @ X4))) = $true) | (((X3 @ X4)) != $true)) & (((X3 @ cZERO)) = $true))) | (((X0 @ cZERO)) != $true)))) & (! [X1 : (($i > $o) > $o)] : (((((X0 @ (cSUCC @ X1))) = $true) | (((X0 @ X1)) != $true)) | (((cNAT @ X1)) != $true)) & (((X0 @ cZERO)) = $true)))),
% 2.57/0.67 inference(ennf_transformation,[],[f11])).
% 2.57/0.67 thf(f15,plain,(
% 2.57/0.67 ? [X0 : ((($i > $o) > $o) > $o)] : (? [X2 : (($i > $o) > $o)] : ((((((cNAT @ X2)) = $true) & (((X0 @ X2)) = $true)) | ? [X5 : (($i > $o) > $o)] : (! [X6 : ((($i > $o) > $o) > $o)] : (? [X7 : (($i > $o) > $o)] : ((((X6 @ X7)) = $true) & (((X6 @ (cSUCC @ X7))) != $true)) | (((X6 @ X5)) = $true) | (((X6 @ cZERO)) != $true)) & (((X0 @ X5)) = $true) & ((((X0 @ (cSUCC @ X5))) != $true) | ? [X8 : ((($i > $o) > $o) > $o)] : (! [X9 : (($i > $o) > $o)] : ((((X8 @ (cSUCC @ X9))) = $true) | ($true != ((X8 @ X9)))) & (((X8 @ cZERO)) = $true) & (((X8 @ (cSUCC @ X5))) != $true)))) | (((X0 @ cZERO)) != $true) | ? [X3 : ((($i > $o) > $o) > $o)] : ((((X3 @ cZERO)) != $true) & (((X3 @ cZERO)) = $true) & ! [X4 : (($i > $o) > $o)] : ((((X3 @ (cSUCC @ X4))) = $true) | (((X3 @ X4)) != $true)))) & (((X0 @ X2)) != $true)) & ! [X1 : (($i > $o) > $o)] : ((((X0 @ (cSUCC @ X1))) = $true) | (((X0 @ X1)) != $true) | (((cNAT @ X1)) != $true)) & (((X0 @ cZERO)) = $true))),
% 2.57/0.67 inference(flattening,[],[f14])).
% 2.57/0.67 thf(f16,definition,(
% 2.57/0.67 ! [X0 : ((($i > $o) > $o) > $o)] : (? [X5 : (($i > $o) > $o)] : (! [X6 : ((($i > $o) > $o) > $o)] : (? [X7 : (($i > $o) > $o)] : ((((X6 @ X7)) = $true) & (((X6 @ (cSUCC @ X7))) != $true)) | (((X6 @ X5)) = $true) | (((X6 @ cZERO)) != $true)) & (((X0 @ X5)) = $true) & ((((X0 @ (cSUCC @ X5))) != $true) | ? [X8 : ((($i > $o) > $o) > $o)] : (! [X9 : (($i > $o) > $o)] : ((((X8 @ (cSUCC @ X9))) = $true) | ($true != ((X8 @ X9)))) & (((X8 @ cZERO)) = $true) & (((X8 @ (cSUCC @ X5))) != $true)))) | ~ ($true = ((sP0 @ X0))))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 2.57/0.67 thf(f17,plain,(
% 2.57/0.67 ? [X0 : ((($i > $o) > $o) > $o)] : (? [X2 : (($i > $o) > $o)] : ((((((cNAT @ X2)) = $true) & (((X0 @ X2)) = $true)) | ($true = ((sP0 @ X0))) | (((X0 @ cZERO)) != $true) | ? [X3 : ((($i > $o) > $o) > $o)] : ((((X3 @ cZERO)) != $true) & (((X3 @ cZERO)) = $true) & ! [X4 : (($i > $o) > $o)] : ((((X3 @ (cSUCC @ X4))) = $true) | (((X3 @ X4)) != $true)))) & (((X0 @ X2)) != $true)) & ! [X1 : (($i > $o) > $o)] : ((((X0 @ (cSUCC @ X1))) = $true) | (((X0 @ X1)) != $true) | (((cNAT @ X1)) != $true)) & (((X0 @ cZERO)) = $true))),
% 2.57/0.67 inference(definition_folding,[],[f15,f16])).
% 2.57/0.67 thf(f18,plain,(
% 2.57/0.67 ! [X0 : ((($i > $o) > $o) > $o)] : (? [X5 : (($i > $o) > $o)] : (! [X6 : ((($i > $o) > $o) > $o)] : (? [X7 : (($i > $o) > $o)] : ((((X6 @ X7)) = $true) & (((X6 @ (cSUCC @ X7))) != $true)) | (((X6 @ X5)) = $true) | (((X6 @ cZERO)) != $true)) & (((X0 @ X5)) = $true) & ((((X0 @ (cSUCC @ X5))) != $true) | ? [X8 : ((($i > $o) > $o) > $o)] : (! [X9 : (($i > $o) > $o)] : ((((X8 @ (cSUCC @ X9))) = $true) | ($true != ((X8 @ X9)))) & (((X8 @ cZERO)) = $true) & (((X8 @ (cSUCC @ X5))) != $true)))) | ($true != ((sP0 @ X0))))),
% 2.57/0.67 inference(nnf_transformation,[],[f16])).
% 2.57/0.67 thf(f19,plain,(
% 2.57/0.67 ! [X0 : ((($i > $o) > $o) > $o)] : (? [X1 : (($i > $o) > $o)] : (! [X2 : ((($i > $o) > $o) > $o)] : (? [X3 : (($i > $o) > $o)] : (($true = ((X2 @ X3))) & (((X2 @ (cSUCC @ X3))) != $true)) | ($true = ((X2 @ X1))) | ($true != ((X2 @ cZERO)))) & (((X0 @ X1)) = $true) & ((((X0 @ (cSUCC @ X1))) != $true) | ? [X4 : ((($i > $o) > $o) > $o)] : (! [X5 : (($i > $o) > $o)] : ((((X4 @ (cSUCC @ X5))) = $true) | (((X4 @ X5)) != $true)) & (((X4 @ cZERO)) = $true) & (((X4 @ (cSUCC @ X1))) != $true)))) | ($true != ((sP0 @ X0))))),
% 2.57/0.67 inference(rectify,[],[f18])).
% 2.57/0.67 thf(f20,plain,(
% 2.57/0.67 ! [X0 : ((($i > $o) > $o) > $o)] : ((! [X2 : ((($i > $o) > $o) > $o)] : (((((X2 @ (sK2 @ X2))) = $true) & (((X2 @ (cSUCC @ (sK2 @ X2)))) != $true)) | (((X2 @ (sK1 @ X0))) = $true) | ($true != ((X2 @ cZERO)))) & (((X0 @ (sK1 @ X0))) = $true) & (($true != ((X0 @ (cSUCC @ (sK1 @ X0))))) | (! [X5 : (($i > $o) > $o)] : ((((sK3 @ X0 @ (cSUCC @ X5))) = $true) | (((sK3 @ X0 @ X5)) != $true)) & (((sK3 @ X0 @ cZERO)) = $true) & (((sK3 @ X0 @ (cSUCC @ (sK1 @ X0)))) != $true)))) | ($true != ((sP0 @ X0))))),
% 2.57/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP]),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0),skolemize(X4,sK3 @ X0)],[f19])).
% 2.57/0.67 thf(f21,plain,(
% 2.57/0.67 ? [X0 : ((($i > $o) > $o) > $o)] : (? [X1 : (($i > $o) > $o)] : ((((((cNAT @ X1)) = $true) & (((X0 @ X1)) = $true)) | ($true = ((sP0 @ X0))) | (((X0 @ cZERO)) != $true) | ? [X2 : ((($i > $o) > $o) > $o)] : (($true != ((X2 @ cZERO))) & ($true = ((X2 @ cZERO))) & ! [X3 : (($i > $o) > $o)] : ((((X2 @ (cSUCC @ X3))) = $true) | ($true != ((X2 @ X3)))))) & (((X0 @ X1)) != $true)) & ! [X4 : (($i > $o) > $o)] : ((((X0 @ (cSUCC @ X4))) = $true) | (((X0 @ X4)) != $true) | (((cNAT @ X4)) != $true)) & (((X0 @ cZERO)) = $true))),
% 2.57/0.67 inference(rectify,[],[f17])).
% 2.57/0.67 thf(f22,plain,(
% 2.57/0.67 ((((((cNAT @ sK5)) = $true) & (((sK4 @ sK5)) = $true)) | (((sP0 @ sK4)) = $true) | (((sK4 @ cZERO)) != $true) | ((((sK6 @ cZERO)) != $true) & (((sK6 @ cZERO)) = $true) & ! [X3 : (($i > $o) > $o)] : ((((sK6 @ (cSUCC @ X3))) = $true) | (((sK6 @ X3)) != $true)))) & (((sK4 @ sK5)) != $true)) & ! [X4 : (($i > $o) > $o)] : ((((sK4 @ (cSUCC @ X4))) = $true) | (((sK4 @ X4)) != $true) | (((cNAT @ X4)) != $true)) & (((sK4 @ cZERO)) = $true)),
% 2.57/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f21])).
% 2.57/0.67 thf(f25,plain,(
% 2.57/0.67 (cNAT = (^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2))))) & (Y1 @ cZERO)) => (Y1 @ Y0))))))),
% 2.57/0.67 inference(cnf_transformation,[],[f13])).
% 2.57/0.67 thf(f26,plain,(
% 2.57/0.67 ( ! [X0 : ((($i > $o) > $o) > $o)] : ((((sK3 @ X0 @ (cSUCC @ (sK1 @ X0)))) != $true) | ($true != ((X0 @ (cSUCC @ (sK1 @ X0))))) | ($true != ((sP0 @ X0)))) )),
% 2.57/0.67 inference(cnf_transformation,[],[f20])).
% 2.57/0.67 thf(f27,plain,(
% 2.57/0.67 ( ! [X0 : ((($i > $o) > $o) > $o)] : (($true != ((X0 @ (cSUCC @ (sK1 @ X0))))) | ($true != ((sP0 @ X0))) | (((sK3 @ X0 @ cZERO)) = $true)) )),
% 2.57/0.67 inference(cnf_transformation,[],[f20])).
% 2.57/0.67 thf(f28,plain,(
% 2.57/0.67 ( ! [X0 : ((($i > $o) > $o) > $o),X5 : (($i > $o) > $o)] : (($true != ((X0 @ (cSUCC @ (sK1 @ X0))))) | ($true != ((sP0 @ X0))) | (((sK3 @ X0 @ (cSUCC @ X5))) = $true) | (((sK3 @ X0 @ X5)) != $true)) )),
% 2.57/0.67 inference(cnf_transformation,[],[f20])).
% 2.57/0.67 thf(f29,plain,(
% 2.57/0.67 ( ! [X0 : ((($i > $o) > $o) > $o)] : (($true != ((sP0 @ X0))) | (((X0 @ (sK1 @ X0))) = $true)) )),
% 2.57/0.67 inference(cnf_transformation,[],[f20])).
% 2.57/0.67 thf(f30,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X0 : ((($i > $o) > $o) > $o)] : ((((X2 @ (cSUCC @ (sK2 @ X2)))) != $true) | ($true != ((sP0 @ X0))) | (((X2 @ (sK1 @ X0))) = $true) | ($true != ((X2 @ cZERO)))) )),
% 2.57/0.67 inference(cnf_transformation,[],[f20])).
% 2.57/0.67 thf(f31,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X0 : ((($i > $o) > $o) > $o)] : (($true != ((sP0 @ X0))) | (((X2 @ (sK2 @ X2))) = $true) | (((X2 @ (sK1 @ X0))) = $true) | ($true != ((X2 @ cZERO)))) )),
% 2.57/0.67 inference(cnf_transformation,[],[f20])).
% 2.57/0.67 thf(f32,plain,(
% 2.57/0.67 (((sK4 @ cZERO)) = $true)),
% 2.57/0.67 inference(cnf_transformation,[],[f22])).
% 2.57/0.67 thf(f33,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sK4 @ (cSUCC @ X4))) = $true) | (((sK4 @ X4)) != $true) | (((cNAT @ X4)) != $true)) )),
% 2.57/0.67 inference(cnf_transformation,[],[f22])).
% 2.57/0.67 thf(f34,plain,(
% 2.57/0.67 (((sK4 @ sK5)) != $true)),
% 2.57/0.67 inference(cnf_transformation,[],[f22])).
% 2.57/0.67 thf(f36,plain,(
% 2.57/0.67 (((sK4 @ sK5)) = $true) | (((sP0 @ sK4)) = $true) | (((sK4 @ cZERO)) != $true) | (((sK6 @ cZERO)) = $true)),
% 2.57/0.67 inference(cnf_transformation,[],[f22])).
% 2.57/0.67 thf(f37,plain,(
% 2.57/0.67 (((sK4 @ sK5)) = $true) | (((sP0 @ sK4)) = $true) | (((sK4 @ cZERO)) != $true) | (((sK6 @ cZERO)) != $true)),
% 2.57/0.67 inference(cnf_transformation,[],[f22])).
% 2.57/0.67 thf(f45,definition,(
% 2.57/0.67 (sF8 = ((sP0 @ sK4)))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 2.57/0.67 thf(f46,plain,(
% 2.57/0.67 (((sP0 @ sK4)) = sF8)),
% 2.57/0.67 inference(reorient_equations,[],[f45])).
% 2.57/0.67 thf(f47,definition,(
% 2.57/0.67 (sF9 = ((sK4 @ cZERO)))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
% 2.57/0.67 thf(f48,definition,(
% 2.57/0.67 (sF10 = ((sK6 @ cZERO)))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
% 2.57/0.67 thf(f49,plain,(
% 2.57/0.67 (((sK6 @ cZERO)) = sF10)),
% 2.57/0.67 inference(reorient_equations,[],[f48])).
% 2.57/0.67 thf(f57,definition,(
% 2.57/0.67 (sF13 = ((sK4 @ sK5)))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF13])],[function_definition])).
% 2.57/0.67 thf(f58,plain,(
% 2.57/0.67 (((sK4 @ sK5)) = sF13)),
% 2.57/0.67 inference(reorient_equations,[],[f57])).
% 2.57/0.67 thf(f59,plain,(
% 2.57/0.67 ($true != sF10) | (sF8 = $true) | (sF13 = $true) | (sF9 != $true)),
% 2.57/0.67 inference(definition_folding,[],[f37,f49,f47,f46,f58])).
% 2.57/0.67 thf(f60,plain,(
% 2.57/0.67 ($true = sF10) | (sF13 = $true) | (sF8 = $true) | (sF9 != $true)),
% 2.57/0.67 inference(definition_folding,[],[f36,f49,f47,f46,f58])).
% 2.57/0.67 thf(f62,plain,(
% 2.57/0.67 (sF13 != $true)),
% 2.57/0.67 inference(definition_folding,[],[f34,f58])).
% 2.57/0.67 thf(f63,definition,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sF14 @ X4)) = ((sK4 @ (cSUCC @ X4))))) )),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF14])],[function_definition])).
% 2.57/0.67 thf(f64,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sK4 @ (cSUCC @ X4))) = ((sF14 @ X4)))) )),
% 2.57/0.67 inference(reorient_equations,[],[f63])).
% 2.57/0.67 thf(f65,definition,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sF15 @ X4)) = ((sK4 @ X4)))) )),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF15])],[function_definition])).
% 2.57/0.67 thf(f66,definition,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sF16 @ X4)) = ((cNAT @ X4)))) )),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[sF16])],[function_definition])).
% 2.57/0.67 thf(f67,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((cNAT @ X4)) = ((sF16 @ X4)))) )),
% 2.57/0.67 inference(reorient_equations,[],[f66])).
% 2.57/0.67 thf(f68,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sF16 @ X4)) != $true) | (((sF15 @ X4)) != $true) | (((sF14 @ X4)) = $true)) )),
% 2.57/0.67 inference(definition_folding,[],[f33,f67,f65,f64])).
% 2.57/0.67 thf(f69,plain,(
% 2.57/0.67 (sF9 = $true)),
% 2.57/0.67 inference(definition_folding,[],[f32,f47])).
% 2.57/0.67 thf(f70,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : (($false = ((sK4 @ X4))) | (((sF15 @ X4)) = $true)) )),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f65])).
% 2.57/0.67 thf(f71,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : (($false = ((sF15 @ X4))) | (((sK4 @ X4)) = $true)) )),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f65])).
% 2.57/0.67 thf(f74,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : ((((sK4 @ (cSUCC @ X4))) = $true) | ($false = ((sF14 @ X4)))) )),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f64])).
% 2.57/0.67 thf(f80,plain,(
% 2.57/0.67 (((sP0 @ sK4)) = $true) | ($false = sF8)),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f46])).
% 2.57/0.67 thf(f90,plain,(
% 2.57/0.67 ( ! [X4 : (($i > $o) > $o)] : (($false = ((cNAT @ X4))) | (((sF16 @ X4)) = $true)) )),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f67])).
% 2.57/0.67 thf(f92,definition,(
% 2.57/0.67 spl17_1 <=> ($true = sF10)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 2.57/0.67 thf(f110,definition,(
% 2.57/0.67 spl17_5 <=> (sF9 = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 2.57/0.67 thf(f114,definition,(
% 2.57/0.67 spl17_6 <=> (sF8 = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 2.57/0.67 thf(f116,plain,(
% 2.57/0.67 (sF8 = $true) | ~spl17_6),
% 2.57/0.67 inference(avatar_component_clause,[],[f114])).
% 2.57/0.67 thf(f118,definition,(
% 2.57/0.67 spl17_7 <=> (sF13 = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 2.57/0.67 thf(f125,plain,(
% 2.57/0.67 ~spl17_7),
% 2.57/0.67 inference(avatar_split_clause,[],[f62,f118])).
% 2.57/0.67 thf(f126,plain,(
% 2.57/0.67 ~spl17_5 | ~spl17_1 | spl17_7 | spl17_6),
% 2.57/0.67 inference(avatar_split_clause,[],[f59,f114,f118,f92,f110])).
% 2.57/0.67 thf(f153,definition,(
% 2.57/0.67 spl17_14 <=> (((sP0 @ sK4)) = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition])).
% 2.57/0.67 thf(f155,plain,(
% 2.57/0.67 (((sP0 @ sK4)) = $true) | ~spl17_14),
% 2.57/0.67 inference(avatar_component_clause,[],[f153])).
% 2.57/0.67 thf(f157,definition,(
% 2.57/0.67 spl17_15 <=> ($false = sF8)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition])).
% 2.57/0.67 thf(f159,plain,(
% 2.57/0.67 ($false = sF8) | ~spl17_15),
% 2.57/0.67 inference(avatar_component_clause,[],[f157])).
% 2.57/0.67 thf(f160,plain,(
% 2.57/0.67 spl17_14 | spl17_15),
% 2.57/0.67 inference(avatar_split_clause,[],[f80,f157,f153])).
% 2.57/0.67 thf(f161,plain,(
% 2.57/0.67 spl17_5),
% 2.57/0.67 inference(avatar_split_clause,[],[f69,f110])).
% 2.57/0.67 thf(f177,plain,(
% 2.57/0.67 spl17_7 | spl17_1 | spl17_6 | ~spl17_5),
% 2.57/0.67 inference(avatar_split_clause,[],[f60,f110,f114,f92,f118])).
% 2.57/0.67 thf(f238,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = $true) | ($false = ((sF14 @ X0))) | (((sF15 @ (cSUCC @ X0))) = $true)) )),
% 2.57/0.67 inference(constrained_superposition,[],[f70,f74])).
% 2.57/0.67 thf(f239,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sF15 @ (cSUCC @ X0))) = $true) | ($false = ((sF14 @ X0)))) )),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f238])).
% 2.57/0.67 thf(f279,plain,(
% 2.57/0.67 ($true != $true) | ($false = ((sF14 @ (sK1 @ sK4)))) | ($true = ((sK3 @ sK4 @ cZERO))) | (((sP0 @ sK4)) != $true)),
% 2.57/0.67 inference(constrained_superposition,[],[f27,f74])).
% 2.57/0.67 thf(f292,plain,(
% 2.57/0.67 (((sP0 @ sK4)) != $true) | ($true = ((sK3 @ sK4 @ cZERO))) | ($false = ((sF14 @ (sK1 @ sK4))))),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f279])).
% 2.57/0.67 thf(f344,definition,(
% 2.57/0.67 spl17_35 <=> ($true = ((sK3 @ sK4 @ cZERO)))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition])).
% 2.57/0.67 thf(f346,plain,(
% 2.57/0.67 ($true = ((sK3 @ sK4 @ cZERO))) | ~spl17_35),
% 2.57/0.67 inference(avatar_component_clause,[],[f344])).
% 2.57/0.67 thf(f348,definition,(
% 2.57/0.67 spl17_36 <=> ($false = ((sF14 @ (sK1 @ sK4))))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_36])],[avatar_definition])).
% 2.57/0.67 thf(f350,plain,(
% 2.57/0.67 ($false = ((sF14 @ (sK1 @ sK4)))) | ~spl17_36),
% 2.57/0.67 inference(avatar_component_clause,[],[f348])).
% 2.57/0.67 thf(f352,plain,(
% 2.57/0.67 ~spl17_14 | spl17_35 | spl17_36),
% 2.57/0.67 inference(avatar_split_clause,[],[f292,f348,f344,f153])).
% 2.57/0.67 thf(f353,plain,(
% 2.57/0.67 ($false = $true) | (~spl17_6 | ~spl17_15)),
% 2.57/0.67 inference(backward_demodulation,[],[f116,f159])).
% 2.57/0.67 thf(f354,plain,(
% 2.57/0.67 $false | (~spl17_6 | ~spl17_15)),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f353])).
% 2.57/0.67 thf(f355,plain,(
% 2.57/0.67 ~spl17_6 | ~spl17_15),
% 2.57/0.67 inference(avatar_contradiction_clause,[],[f354])).
% 2.57/0.67 thf(f429,plain,(
% 2.57/0.67 ( ! [X0 : ((($i > $o) > $o) > $o)] : ((((X0 @ cZERO)) != $true) | (((X0 @ (sK1 @ sK4))) = $true) | (((X0 @ (sK2 @ X0))) = $true) | ($true != $true)) ) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f31,f155])).
% 2.57/0.67 thf(f430,plain,(
% 2.57/0.67 (((sK4 @ (sK1 @ sK4))) = $true) | ($true != $true) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f29,f155])).
% 2.57/0.67 thf(f431,plain,(
% 2.57/0.67 (((sK4 @ (sK1 @ sK4))) = $true) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f430])).
% 2.57/0.67 thf(f432,plain,(
% 2.57/0.67 ( ! [X0 : ((($i > $o) > $o) > $o)] : ((((X0 @ cZERO)) != $true) | (((X0 @ (sK1 @ sK4))) = $true) | (((X0 @ (sK2 @ X0))) = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f429])).
% 2.57/0.67 thf(f434,plain,(
% 2.57/0.67 (((sF15 @ (sK1 @ sK4))) = $true) | ($false = $true) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f70,f431])).
% 2.57/0.67 thf(f435,plain,(
% 2.57/0.67 (((sF15 @ (sK1 @ sK4))) = $true) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f434])).
% 2.57/0.67 thf(f512,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = ((sF14 @ (sK1 @ sK4)))) | (((sP0 @ sK4)) != $true) | (((sK3 @ sK4 @ (cSUCC @ X0))) = $true) | ($true != $true) | (((sK3 @ sK4 @ X0)) != $true)) )),
% 2.57/0.67 inference(constrained_superposition,[],[f28,f74])).
% 2.57/0.67 thf(f524,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sP0 @ sK4)) != $true) | (((sK3 @ sK4 @ X0)) != $true) | (((sK3 @ sK4 @ (cSUCC @ X0))) = $true) | ($false = ((sF14 @ (sK1 @ sK4))))) )),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f512])).
% 2.57/0.67 thf(f534,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = (((^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2))))) & (Y1 @ cZERO)) => (Y1 @ Y0))))) @ X1)))) )),
% 2.57/0.67 inference(argument_congruence,[],[f25])).
% 2.57/0.67 thf(f535,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : (($false = (((^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2))))) & (Y1 @ cZERO)) => (Y1 @ Y0))))) @ X1))) | (((cNAT @ X1)) = $true)) )),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f534])).
% 2.57/0.67 thf(f536,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $false) | ((((^[Y0 : ($i > $o) > $o]: (!! @ ((($i > $o) > $o) > $o) @ (^[Y1 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y1 @ Y2) => (Y1 @ (cSUCC @ Y2))))) & (Y1 @ cZERO)) => (Y1 @ Y0))))) @ X1)) = $true)) )),
% 2.57/0.67 inference(iff_proxy_clausification,[],[f534])).
% 2.57/0.67 thf(f537,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (cSUCC @ Y1))))) & (Y0 @ cZERO)) => (Y0 @ X1))))) = $true) | (((cNAT @ X1)) = $false)) )),
% 2.57/0.67 inference(beta-eta_normalization,[],[f536])).
% 2.57/0.67 thf(f538,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $false) | ((((^[Y0 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (cSUCC @ Y1))))) & (Y0 @ cZERO)) => (Y0 @ X1))) @ X2)) = $true)) )),
% 2.57/0.67 inference(pi_proxy_clausification,[],[f537])).
% 2.57/0.67 thf(f539,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : ((((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((X2 @ Y0) => (X2 @ (cSUCC @ Y0))))) & (X2 @ cZERO)) => (X2 @ X1))) = $true) | (((cNAT @ X1)) = $false)) )),
% 2.57/0.67 inference(beta-eta_normalization,[],[f538])).
% 2.57/0.67 thf(f540,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : (($false = (((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((X2 @ Y0) => (X2 @ (cSUCC @ Y0))))) & (X2 @ cZERO)))) | ($true = ((X2 @ X1))) | (((cNAT @ X1)) = $false)) )),
% 2.57/0.67 inference(imp_proxy_clausification,[],[f539])).
% 2.57/0.67 thf(f541,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $false) | ($true = ((X2 @ X1))) | ($false = ((X2 @ cZERO))) | ($false = ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((X2 @ Y0) => (X2 @ (cSUCC @ Y0)))))))) )),
% 2.57/0.67 inference(and_proxy_clausification,[],[f540])).
% 2.57/0.67 thf(f542,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : (($true = ((X2 @ X1))) | ($false = ((X2 @ cZERO))) | ($false = (((^[Y0 : ($i > $o) > $o]: ((X2 @ Y0) => (X2 @ (cSUCC @ Y0)))) @ (sK20 @ X2)))) | (((cNAT @ X1)) = $false)) )),
% 2.57/0.67 inference(sigma_proxy_clausification,[],[f541])).
% 2.57/0.67 thf(f543,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $false) | ($false = (((X2 @ (sK20 @ X2)) => (X2 @ (cSUCC @ (sK20 @ X2)))))) | ($true = ((X2 @ X1))) | ($false = ((X2 @ cZERO)))) )),
% 2.57/0.67 inference(beta-eta_normalization,[],[f542])).
% 2.57/0.67 thf(f544,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : (($false = ((X2 @ (cSUCC @ (sK20 @ X2))))) | ($false = ((X2 @ cZERO))) | ($true = ((X2 @ X1))) | (((cNAT @ X1)) = $false)) )),
% 2.57/0.67 inference(imp_proxy_clausification,[],[f543])).
% 2.57/0.67 thf(f545,plain,(
% 2.57/0.67 ( ! [X2 : ((($i > $o) > $o) > $o),X1 : (($i > $o) > $o)] : ((((X2 @ (sK20 @ X2))) = $true) | ($true = ((X2 @ X1))) | ($false = ((X2 @ cZERO))) | (((cNAT @ X1)) = $false)) )),
% 2.57/0.67 inference(imp_proxy_clausification,[],[f543])).
% 2.57/0.67 thf(f546,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $true) | ($false = ((!! @ ((($i > $o) > $o) > $o) @ (^[Y0 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (cSUCC @ Y1))))) & (Y0 @ cZERO)) => (Y0 @ X1))))))) )),
% 2.57/0.67 inference(beta-eta_normalization,[],[f535])).
% 2.57/0.67 thf(f547,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $true) | ($false = (((^[Y0 : (($i > $o) > $o) > $o]: (((!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y0 @ Y1) => (Y0 @ (cSUCC @ Y1))))) & (Y0 @ cZERO)) => (Y0 @ X1))) @ (sK21 @ X1))))) )),
% 2.57/0.67 inference(sigma_proxy_clausification,[],[f546])).
% 2.57/0.67 thf(f548,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $true) | (((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((sK21 @ X1 @ Y0) => (sK21 @ X1 @ (cSUCC @ Y0))))) & (sK21 @ X1 @ cZERO)) => (sK21 @ X1 @ X1))) = $false)) )),
% 2.57/0.67 inference(beta-eta_normalization,[],[f547])).
% 2.57/0.67 thf(f549,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : (($false = ((sK21 @ X1 @ X1))) | (((cNAT @ X1)) = $true)) )),
% 2.57/0.67 inference(imp_proxy_clausification,[],[f548])).
% 2.57/0.67 thf(f550,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : (((((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((sK21 @ X1 @ Y0) => (sK21 @ X1 @ (cSUCC @ Y0))))) & (sK21 @ X1 @ cZERO))) = $true) | (((cNAT @ X1)) = $true)) )),
% 2.57/0.67 inference(imp_proxy_clausification,[],[f548])).
% 2.57/0.67 thf(f551,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : (($true = ((sK21 @ X1 @ cZERO))) | (((cNAT @ X1)) = $true)) )),
% 2.57/0.67 inference(and_proxy_clausification,[],[f550])).
% 2.57/0.67 thf(f552,plain,(
% 2.57/0.67 ( ! [X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $true) | (((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((sK21 @ X1 @ Y0) => (sK21 @ X1 @ (cSUCC @ Y0)))))) = $true)) )),
% 2.57/0.67 inference(and_proxy_clausification,[],[f550])).
% 2.57/0.67 thf(f553,plain,(
% 2.57/0.67 ( ! [X2 : (($i > $o) > $o),X1 : (($i > $o) > $o)] : ((((cNAT @ X1)) = $true) | ((((^[Y0 : ($i > $o) > $o]: ((sK21 @ X1 @ Y0) => (sK21 @ X1 @ (cSUCC @ Y0)))) @ X2)) = $true)) )),
% 2.57/0.67 inference(pi_proxy_clausification,[],[f552])).
% 2.57/0.67 thf(f554,plain,(
% 2.57/0.67 ( ! [X2 : (($i > $o) > $o),X1 : (($i > $o) > $o)] : (($true = (((sK21 @ X1 @ X2) => (sK21 @ X1 @ (cSUCC @ X2))))) | (((cNAT @ X1)) = $true)) )),
% 2.57/0.67 inference(beta-eta_normalization,[],[f553])).
% 2.57/0.67 thf(f555,plain,(
% 2.57/0.67 ( ! [X2 : (($i > $o) > $o),X1 : (($i > $o) > $o)] : ((((sK21 @ X1 @ (cSUCC @ X2))) = $true) | ($false = ((sK21 @ X1 @ X2))) | (((cNAT @ X1)) = $true)) )),
% 2.57/0.67 inference(imp_proxy_clausification,[],[f554])).
% 2.57/0.67 thf(f559,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($true != $true) | (((sK21 @ X0 @ (sK2 @ (sK21 @ X0)))) = $true) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true) | (((cNAT @ X0)) = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f432,f551])).
% 2.57/0.67 thf(f562,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK21 @ X0 @ (sK2 @ (sK21 @ X0)))) = $true) | (((cNAT @ X0)) = $true) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f559])).
% 2.57/0.67 thf(f572,definition,(
% 2.57/0.67 spl17_47 <=> (((cNAT @ (sK1 @ sK4))) = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_47])],[avatar_definition])).
% 2.57/0.67 thf(f574,plain,(
% 2.57/0.67 (((cNAT @ (sK1 @ sK4))) = $true) | ~spl17_47),
% 2.57/0.67 inference(avatar_component_clause,[],[f572])).
% 2.57/0.67 thf(f590,definition,(
% 2.57/0.67 spl17_49 <=> (((sF16 @ (sK1 @ sK4))) = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_49])],[avatar_definition])).
% 2.57/0.67 thf(f592,plain,(
% 2.57/0.67 (((sF16 @ (sK1 @ sK4))) = $true) | ~spl17_49),
% 2.57/0.67 inference(avatar_component_clause,[],[f590])).
% 2.57/0.67 thf(f696,definition,(
% 2.57/0.67 spl17_58 <=> ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ (cSUCC @ X0))) = $true) | (((sK3 @ sK4 @ X0)) != $true))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_58])],[avatar_definition])).
% 2.57/0.67 thf(f697,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ X0)) != $true) | (((sK3 @ sK4 @ (cSUCC @ X0))) = $true)) ) | ~spl17_58),
% 2.57/0.67 inference(avatar_component_clause,[],[f696])).
% 2.57/0.67 thf(f699,definition,(
% 2.57/0.67 spl17_59 <=> ($false = ((cNAT @ (cSUCC @ (sK1 @ sK4)))))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_59])],[avatar_definition])).
% 2.57/0.67 thf(f701,plain,(
% 2.57/0.67 ($false = ((cNAT @ (cSUCC @ (sK1 @ sK4))))) | ~spl17_59),
% 2.57/0.67 inference(avatar_component_clause,[],[f699])).
% 2.57/0.67 thf(f721,plain,(
% 2.57/0.67 (((sF16 @ (sK1 @ sK4))) = $true) | ($false = $true) | ~spl17_47),
% 2.57/0.67 inference(constrained_superposition,[],[f90,f574])).
% 2.57/0.67 thf(f722,plain,(
% 2.57/0.67 (((sF16 @ (sK1 @ sK4))) = $true) | ~spl17_47),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f721])).
% 2.57/0.67 thf(f724,plain,(
% 2.57/0.67 spl17_49 | ~spl17_47),
% 2.57/0.67 inference(avatar_split_clause,[],[f722,f572,f590])).
% 2.57/0.67 thf(f727,plain,(
% 2.57/0.67 (((sF14 @ (sK1 @ sK4))) = $true) | ($true != $true) | (((sF15 @ (sK1 @ sK4))) != $true) | ~spl17_49),
% 2.57/0.67 inference(constrained_superposition,[],[f68,f592])).
% 2.57/0.67 thf(f728,plain,(
% 2.57/0.67 (((sF14 @ (sK1 @ sK4))) = $true) | (((sF15 @ (sK1 @ sK4))) != $true) | ~spl17_49),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f727])).
% 2.57/0.67 thf(f731,plain,(
% 2.57/0.67 (((sF14 @ (sK1 @ sK4))) = $true) | (~spl17_14 | ~spl17_49)),
% 2.57/0.67 inference(forward_subsumption_resolution,[],[f728,f435])).
% 2.57/0.67 thf(f732,plain,(
% 2.57/0.67 ($false = $true) | (~spl17_14 | ~spl17_36 | ~spl17_49)),
% 2.57/0.67 inference(forward_demodulation,[],[f731,f350])).
% 2.57/0.67 thf(f733,plain,(
% 2.57/0.67 $false | (~spl17_14 | ~spl17_36 | ~spl17_49)),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f732])).
% 2.57/0.67 thf(f734,plain,(
% 2.57/0.67 ~spl17_14 | ~spl17_36 | ~spl17_49),
% 2.57/0.67 inference(avatar_contradiction_clause,[],[f733])).
% 2.57/0.67 thf(f735,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ (cSUCC @ X0))) = $true) | ($false = ((sF14 @ (sK1 @ sK4)))) | (((sK3 @ sK4 @ X0)) != $true)) ) | ~spl17_14),
% 2.57/0.67 inference(forward_subsumption_resolution,[],[f524,f155])).
% 2.57/0.67 thf(f745,plain,(
% 2.57/0.67 spl17_58 | spl17_36 | ~spl17_14),
% 2.57/0.67 inference(avatar_split_clause,[],[f735,f153,f348,f696])).
% 2.57/0.67 thf(f805,definition,(
% 2.57/0.67 spl17_66 <=> ! [X0 : (($i > $o) > $o)] : ((((cNAT @ X0)) = $false) | (((sK3 @ sK4 @ X0)) = $true))),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_66])],[avatar_definition])).
% 2.57/0.67 thf(f806,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ X0)) = $true) | (((cNAT @ X0)) = $false)) ) | ~spl17_66),
% 2.57/0.67 inference(avatar_component_clause,[],[f805])).
% 2.57/0.67 thf(f808,definition,(
% 2.57/0.67 spl17_67 <=> (((sK3 @ sK4 @ (cSUCC @ (sK20 @ (sK3 @ sK4))))) = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_67])],[avatar_definition])).
% 2.57/0.67 thf(f810,plain,(
% 2.57/0.67 (((sK3 @ sK4 @ (cSUCC @ (sK20 @ (sK3 @ sK4))))) = $true) | ~spl17_67),
% 2.57/0.67 inference(avatar_component_clause,[],[f808])).
% 2.57/0.67 thf(f949,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = ((sK21 @ (cSUCC @ X0) @ X0))) | ($false = $true) | (((cNAT @ (cSUCC @ X0))) = $true) | (((cNAT @ (cSUCC @ X0))) = $true)) )),
% 2.57/0.67 inference(constrained_superposition,[],[f549,f555])).
% 2.57/0.67 thf(f952,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o),X1 : ((($i > $o) > $o) > $o)] : (($false = ((sK21 @ X0 @ (sK2 @ (sK21 @ X0))))) | (((sK21 @ X0 @ (sK1 @ X1))) = $true) | (((sP0 @ X1)) != $true) | (((cNAT @ X0)) = $true) | ($true != $true) | (((sK21 @ X0 @ cZERO)) != $true)) )),
% 2.57/0.67 inference(constrained_superposition,[],[f30,f555])).
% 2.57/0.67 thf(f956,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((cNAT @ (cSUCC @ X0))) = $true) | ($false = ((sK21 @ (cSUCC @ X0) @ X0))) | ($false = $true)) )),
% 2.57/0.67 inference(duplicate_literal_removal,[],[f949])).
% 2.57/0.67 thf(f957,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = ((sK21 @ (cSUCC @ X0) @ X0))) | (((cNAT @ (cSUCC @ X0))) = $true)) )),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f956])).
% 2.57/0.67 thf(f960,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o),X1 : ((($i > $o) > $o) > $o)] : ((((sK21 @ X0 @ cZERO)) != $true) | (((sK21 @ X0 @ (sK1 @ X1))) = $true) | ($false = ((sK21 @ X0 @ (sK2 @ (sK21 @ X0))))) | (((cNAT @ X0)) = $true) | (((sP0 @ X1)) != $true)) )),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f952])).
% 2.57/0.67 thf(f963,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o),X1 : ((($i > $o) > $o) > $o)] : ((((sP0 @ X1)) != $true) | (((sK21 @ X0 @ (sK1 @ X1))) = $true) | (((cNAT @ X0)) = $true) | ($false = ((sK21 @ X0 @ (sK2 @ (sK21 @ X0)))))) )),
% 2.57/0.67 inference(forward_subsumption_resolution,[],[f960,f551])).
% 2.57/0.67 thf(f1115,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((cNAT @ X0)) = $true) | ($false = ((sK21 @ X0 @ (sK2 @ (sK21 @ X0))))) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true) | ($true != $true)) ) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f963,f155])).
% 2.57/0.67 thf(f1116,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = ((sK21 @ X0 @ (sK2 @ (sK21 @ X0))))) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true) | (((cNAT @ X0)) = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1115])).
% 2.57/0.67 thf(f1138,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((cNAT @ X0)) = $true) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true) | ($false = $true) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true) | (((cNAT @ X0)) = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f562,f1116])).
% 2.57/0.67 thf(f1139,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((cNAT @ X0)) = $true) | (((sK21 @ X0 @ (sK1 @ sK4))) = $true) | ($false = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(duplicate_literal_removal,[],[f1138])).
% 2.57/0.67 thf(f1140,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK21 @ X0 @ (sK1 @ sK4))) = $true) | (((cNAT @ X0)) = $true)) ) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1139])).
% 2.57/0.67 thf(f1144,plain,(
% 2.57/0.67 (((cNAT @ (cSUCC @ (sK1 @ sK4)))) = $true) | ($false = $true) | (((cNAT @ (cSUCC @ (sK1 @ sK4)))) = $true) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f1140,f957])).
% 2.57/0.67 thf(f1147,plain,(
% 2.57/0.67 (((cNAT @ (sK1 @ sK4))) = $true) | (((cNAT @ (sK1 @ sK4))) = $true) | ($false = $true) | ~spl17_14),
% 2.57/0.67 inference(constrained_superposition,[],[f549,f1140])).
% 2.57/0.67 thf(f1163,plain,(
% 2.57/0.67 (((cNAT @ (cSUCC @ (sK1 @ sK4)))) = $true) | ($false = $true) | ~spl17_14),
% 2.57/0.67 inference(duplicate_literal_removal,[],[f1144])).
% 2.57/0.67 thf(f1164,plain,(
% 2.57/0.67 (((cNAT @ (cSUCC @ (sK1 @ sK4)))) = $true) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1163])).
% 2.57/0.67 thf(f1165,plain,(
% 2.57/0.67 (((cNAT @ (sK1 @ sK4))) = $true) | ($false = $true) | ~spl17_14),
% 2.57/0.67 inference(duplicate_literal_removal,[],[f1147])).
% 2.57/0.67 thf(f1166,plain,(
% 2.57/0.67 (((cNAT @ (sK1 @ sK4))) = $true) | ~spl17_14),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1165])).
% 2.57/0.67 thf(f1172,plain,(
% 2.57/0.67 ($false = $true) | (~spl17_14 | ~spl17_59)),
% 2.57/0.67 inference(forward_demodulation,[],[f1164,f701])).
% 2.57/0.67 thf(f1173,plain,(
% 2.57/0.67 $false | (~spl17_14 | ~spl17_59)),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1172])).
% 2.57/0.67 thf(f1174,plain,(
% 2.57/0.67 ~spl17_14 | ~spl17_59),
% 2.57/0.67 inference(avatar_contradiction_clause,[],[f1173])).
% 2.57/0.67 thf(f1178,plain,(
% 2.57/0.67 spl17_47 | ~spl17_14),
% 2.57/0.67 inference(avatar_split_clause,[],[f1166,f153,f572])).
% 2.57/0.67 thf(f1207,definition,(
% 2.57/0.67 spl17_77 <=> (((sF15 @ (cSUCC @ (sK1 @ sK4)))) = $true)),
% 2.57/0.67 introduced(definition,[new_symbols(definition,[spl17_77])],[avatar_definition])).
% 2.57/0.67 thf(f1208,plain,(
% 2.57/0.67 (((sF15 @ (cSUCC @ (sK1 @ sK4)))) = $true) | ~spl17_77),
% 2.57/0.67 inference(avatar_component_clause,[],[f1207])).
% 2.57/0.67 thf(f1209,plain,(
% 2.57/0.67 (((sF15 @ (cSUCC @ (sK1 @ sK4)))) != $true) | spl17_77),
% 2.57/0.67 inference(avatar_component_clause,[],[f1207])).
% 2.57/0.67 thf(f1211,plain,(
% 2.57/0.67 ($false = ((sF14 @ (sK1 @ sK4)))) | ($true != $true) | spl17_77),
% 2.57/0.67 inference(constrained_superposition,[],[f1209,f239])).
% 2.57/0.67 thf(f1215,plain,(
% 2.57/0.67 ($false = ((sF14 @ (sK1 @ sK4)))) | spl17_77),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1211])).
% 2.57/0.67 thf(f1218,plain,(
% 2.57/0.67 spl17_36 | spl17_77),
% 2.57/0.67 inference(avatar_split_clause,[],[f1215,f1207,f348])).
% 2.57/0.67 thf(f1219,plain,(
% 2.57/0.67 (((sK4 @ (cSUCC @ (sK1 @ sK4)))) = $true) | ($false = $true) | ~spl17_77),
% 2.57/0.67 inference(constrained_superposition,[],[f1208,f71])).
% 2.57/0.67 thf(f1221,plain,(
% 2.57/0.67 (((sK4 @ (cSUCC @ (sK1 @ sK4)))) = $true) | ~spl17_77),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1219])).
% 2.57/0.67 thf(f1335,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = ((sK3 @ sK4 @ cZERO))) | (((cNAT @ X0)) = $false) | ($true != $true) | (((sK3 @ sK4 @ (cSUCC @ (sK20 @ (sK3 @ sK4))))) = $true) | (((sK3 @ sK4 @ X0)) = $true)) ) | ~spl17_58),
% 2.57/0.67 inference(constrained_superposition,[],[f697,f545])).
% 2.57/0.67 thf(f1337,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ (cSUCC @ (sK20 @ (sK3 @ sK4))))) = $true) | ($false = ((sK3 @ sK4 @ cZERO))) | (((cNAT @ X0)) = $false) | (((sK3 @ sK4 @ X0)) = $true)) ) | ~spl17_58),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1335])).
% 2.57/0.67 thf(f1341,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((cNAT @ X0)) = $false) | ($false = $true) | (((sK3 @ sK4 @ (cSUCC @ (sK20 @ (sK3 @ sK4))))) = $true) | (((sK3 @ sK4 @ X0)) = $true)) ) | (~spl17_35 | ~spl17_58)),
% 2.57/0.67 inference(forward_demodulation,[],[f1337,f346])).
% 2.57/0.67 thf(f1342,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ X0)) = $true) | (((cNAT @ X0)) = $false) | (((sK3 @ sK4 @ (cSUCC @ (sK20 @ (sK3 @ sK4))))) = $true)) ) | (~spl17_35 | ~spl17_58)),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1341])).
% 2.57/0.67 thf(f1343,plain,(
% 2.57/0.67 spl17_67 | spl17_66 | ~spl17_35 | ~spl17_58),
% 2.57/0.67 inference(avatar_split_clause,[],[f1342,f696,f344,f805,f808])).
% 2.57/0.67 thf(f1391,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : (($false = $true) | ($false = ((sK3 @ sK4 @ cZERO))) | (((cNAT @ X0)) = $false) | (((sK3 @ sK4 @ X0)) = $true)) ) | ~spl17_67),
% 2.57/0.67 inference(constrained_superposition,[],[f810,f544])).
% 2.57/0.67 thf(f1394,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ X0)) = $true) | (((cNAT @ X0)) = $false) | ($false = ((sK3 @ sK4 @ cZERO)))) ) | ~spl17_67),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1391])).
% 2.57/0.67 thf(f1397,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ X0)) = $true) | ($false = $true) | (((cNAT @ X0)) = $false)) ) | (~spl17_35 | ~spl17_67)),
% 2.57/0.67 inference(forward_demodulation,[],[f1394,f346])).
% 2.57/0.67 thf(f1398,plain,(
% 2.57/0.67 ( ! [X0 : (($i > $o) > $o)] : ((((sK3 @ sK4 @ X0)) = $true) | (((cNAT @ X0)) = $false)) ) | (~spl17_35 | ~spl17_67)),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1397])).
% 2.57/0.67 thf(f1401,plain,(
% 2.57/0.67 spl17_66 | ~spl17_35 | ~spl17_67),
% 2.57/0.67 inference(avatar_split_clause,[],[f1398,f808,f344,f805])).
% 2.57/0.67 thf(f1403,plain,(
% 2.57/0.67 ($false = ((cNAT @ (cSUCC @ (sK1 @ sK4))))) | (((sP0 @ sK4)) != $true) | (((sK4 @ (cSUCC @ (sK1 @ sK4)))) != $true) | ($true != $true) | ~spl17_66),
% 2.57/0.67 inference(constrained_superposition,[],[f26,f806])).
% 2.57/0.67 thf(f1411,plain,(
% 2.57/0.67 ($false = ((cNAT @ (cSUCC @ (sK1 @ sK4))))) | (((sP0 @ sK4)) != $true) | (((sK4 @ (cSUCC @ (sK1 @ sK4)))) != $true) | ~spl17_66),
% 2.57/0.67 inference(trivial_inequality_removal,[],[f1403])).
% 2.57/0.67 thf(f1418,plain,(
% 2.57/0.67 ($false = ((cNAT @ (cSUCC @ (sK1 @ sK4))))) | (((sK4 @ (cSUCC @ (sK1 @ sK4)))) != $true) | (~spl17_14 | ~spl17_66)),
% 2.57/0.67 inference(forward_subsumption_resolution,[],[f1411,f155])).
% 2.57/0.67 thf(f1420,plain,(
% 2.57/0.67 ($false = ((cNAT @ (cSUCC @ (sK1 @ sK4))))) | (~spl17_14 | ~spl17_66 | ~spl17_77)),
% 2.57/0.67 inference(forward_subsumption_resolution,[],[f1418,f1221])).
% 2.57/0.67 thf(f1422,plain,(
% 2.57/0.67 spl17_59 | ~spl17_14 | ~spl17_66 | ~spl17_77),
% 2.57/0.67 inference(avatar_split_clause,[],[f1420,f1207,f805,f153,f699])).
% 2.57/0.67 cnf(s4, plain, ~spl17_7, inference(sat_conversion,[],[f125])).
% 2.57/0.67 cnf(s5, plain, ~spl17_1 | ~spl17_5 | spl17_6 | spl17_7, inference(sat_conversion,[],[f126])).
% 2.57/0.67 cnf(s11, plain, spl17_14 | spl17_15, inference(sat_conversion,[],[f160])).
% 2.57/0.67 cnf(s12, plain, spl17_5, inference(sat_conversion,[],[f161])).
% 2.57/0.67 cnf(s16, plain, spl17_1 | ~spl17_5 | spl17_6 | spl17_7, inference(sat_conversion,[],[f177])).
% 2.57/0.67 cnf(s26, plain, ~spl17_14 | spl17_35 | spl17_36, inference(sat_conversion,[],[f352])).
% 2.57/0.67 cnf(s27, plain, ~spl17_6 | ~spl17_15, inference(sat_conversion,[],[f355])).
% 2.57/0.67 cnf(s52, plain, ~spl17_47 | spl17_49, inference(sat_conversion,[],[f724])).
% 2.57/0.67 cnf(s54, plain, ~spl17_14 | ~spl17_36 | ~spl17_49, inference(sat_conversion,[],[f734])).
% 2.57/0.67 cnf(s56, plain, ~spl17_14 | spl17_36 | spl17_58, inference(sat_conversion,[],[f745])).
% 2.57/0.67 cnf(s89, plain, ~spl17_14 | ~spl17_59, inference(sat_conversion,[],[f1174])).
% 2.57/0.67 cnf(s91, plain, ~spl17_14 | spl17_47, inference(sat_conversion,[],[f1178])).
% 2.57/0.67 cnf(s102, plain, spl17_36 | spl17_77, inference(sat_conversion,[],[f1218])).
% 2.57/0.67 cnf(s110, plain, ~spl17_35 | ~spl17_58 | spl17_66 | spl17_67, inference(sat_conversion,[],[f1343])).
% 2.57/0.67 cnf(s113, plain, ~spl17_35 | spl17_66 | ~spl17_67, inference(sat_conversion,[],[f1401])).
% 2.57/0.67 cnf(s116, plain, ~spl17_14 | spl17_59 | ~spl17_66 | ~spl17_77, inference(sat_conversion,[],[f1422])).
% 2.57/0.67 cnf(s128, plain, ~spl17_1 | spl17_6 | spl17_7, inference(rat,[],[s5,s12])).
% 2.57/0.67 cnf(s133, plain, ~spl17_35 | ~spl17_58 | spl17_66, inference(rat,[],[s113,s110])).
% 2.57/0.67 cnf(s134, plain, ~spl17_14, inference(rat,[],[s133,s116,s26,s56,s102,s54,s52,s89,s91])).
% 2.57/0.67 cnf(s135, plain, spl17_15, inference(rat,[],[s11,s134])).
% 2.57/0.67 cnf(s136, plain, ~spl17_6, inference(rat,[],[s27,s135])).
% 2.57/0.67 cnf(s137, plain, spl17_1, inference(rat,[],[s16,s4,s12,s136])).
% 2.57/0.67 cnf(s140, plain, $false, inference(rat,[],[s128,s4,s136,s137])).
% 2.57/0.67 thf(f1423,plain,(
% 2.57/0.67 $false),
% 2.57/0.67 inference(avatar_sat_refutation,[],[s140])).
% 2.57/0.67 % SZS output end Proof for theBenchmark
% 2.57/0.67 % (2645973)------------------------------
% 2.57/0.67 % (2645973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (2645973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (2645973)CaDiCaL version: 2.1.3
% 2.57/0.67 % (2645973)Termination reason: Refutation
% 2.57/0.67 % (2645973)Time elapsed: 0.059 s
% 2.57/0.67 % (2645973)Peak memory usage: 13 MB
% 2.57/0.67 % (2645973)Instructions burned: 102 (million)
% 2.57/0.67 % (2645737)Success in time 0.416 s
% 2.57/0.67 % Vampire exiting
%------------------------------------------------------------------------------