%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU481^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:29:46 AM UTC 2026
% Result : Theorem 2.70s 0.78s
% Output : Refutation 2.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU481^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n017.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 13:38:38 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.24 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
% 0.78/0.36 % (352945)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.36 % (352952)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1440027580:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.36 % (352952)Instruction limit reached!
% 0.78/0.36 % (352952)------------------------------
% 0.78/0.36 % (352952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.36 % (352952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.36 % (352952)CaDiCaL version: 2.1.3
% 0.78/0.36 % (352952)Termination reason: Instruction limit
% 0.78/0.36 % (352952)Termination phase: Property scanning
% 0.78/0.36 % (352952)Time elapsed: 0.001 s
% 0.78/0.36 % (352952)Peak memory usage: 9 MB
% 0.78/0.36 % (352952)Instructions burned: 4 (million)
% 0.78/0.36 % (352956)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.36 % (352956)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
% 0.78/0.36 % (352950)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4006588874:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.36 % (352951)lrs+10_16_si=on:nwc=1.5:random_seed=571177988:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.36 % (352956)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=1291543871:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.36 % (352953)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=3495320171: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)
% 0.78/0.36 % (352954)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3614792567:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.36 % (352955)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1099801036:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.36 % (352958)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3769782765:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.36 % (352958)Instruction limit reached!
% 0.78/0.36 % (352958)------------------------------
% 0.78/0.36 % (352958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.36 % (352958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.36 % (352958)CaDiCaL version: 2.1.3
% 0.78/0.36 % (352958)Termination reason: Instruction limit
% 0.78/0.36 % (352958)Termination phase: Property scanning
% 0.78/0.36 % (352958)Time elapsed: 0.001 s
% 0.78/0.36 % (352958)Peak memory usage: 9 MB
% 0.78/0.36 % (352958)Instructions burned: 4 (million)
% 0.78/0.36 % (352951)Instruction limit reached!
% 0.78/0.36 % (352951)------------------------------
% 0.78/0.36 % (352951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.36 % (352951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.36 % (352951)CaDiCaL version: 2.1.3
% 0.78/0.36 % (352951)Termination reason: Instruction limit
% 0.78/0.36 % (352951)Termination phase: Saturation
% 0.78/0.36 % (352951)Time elapsed: 0.009 s
% 0.78/0.36 % (352951)Peak memory usage: 12 MB
% 0.78/0.36 % (352951)Instructions burned: 18 (million)
% 0.78/0.36 % (352954)Instruction limit reached!
% 0.78/0.36 % (352954)------------------------------
% 0.78/0.36 % (352954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.36 % (352954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.36 % (352954)CaDiCaL version: 2.1.3
% 0.78/0.36 % (352954)Termination reason: Instruction limit
% 0.78/0.36 % (352954)Termination phase: Saturation
% 0.78/0.36 % (352954)Time elapsed: 0.014 s
% 0.78/0.36 % (352954)Peak memory usage: 12 MB
% 0.78/0.36 % (352954)Instructions burned: 25 (million)
% 0.78/0.36 % (352966)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1423013578:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.36 % (352966)Instruction limit reached!
% 0.78/0.40 % (352966)------------------------------
% 0.78/0.40 % (352966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (352966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (352966)CaDiCaL version: 2.1.3
% 0.78/0.40 % (352966)Termination reason: Instruction limit
% 0.78/0.40 % (352966)Termination phase: Function definition elimination
% 0.78/0.40 % (352966)Time elapsed: 0.002 s
% 0.78/0.40 % (352966)Peak memory usage: 10 MB
% 0.78/0.40 % (352966)Instructions burned: 8 (million)
% 0.78/0.40 % (352967)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.40 % (352970)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
% 0.78/0.40 % (352970)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.40 % (352970)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1283382054:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.40 % (352967)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=779702435:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.40 % (352967)Instruction limit reached!
% 0.78/0.40 % (352967)------------------------------
% 0.78/0.40 % (352967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (352967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (352967)CaDiCaL version: 2.1.3
% 0.78/0.40 % (352967)Termination reason: Instruction limit
% 0.78/0.40 % (352967)Termination phase: Saturation
% 0.78/0.40 % (352967)Time elapsed: 0.004 s
% 0.78/0.40 % (352967)Peak memory usage: 11 MB
% 0.78/0.40 % (352967)Instructions burned: 9 (million)
% 0.78/0.40 % (352968)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3744611785:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.40 % (352970)Instruction limit reached!
% 0.78/0.40 % (352970)------------------------------
% 0.78/0.40 % (352970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (352970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (352970)CaDiCaL version: 2.1.3
% 0.78/0.40 % (352970)Termination reason: Instruction limit
% 0.78/0.40 % (352970)Termination phase: Saturation
% 0.78/0.40 % (352970)Time elapsed: 0.007 s
% 0.78/0.40 % (352970)Peak memory usage: 12 MB
% 0.78/0.40 % (352970)Instructions burned: 28 (million)
% 0.78/0.40 % (352955)Instruction limit reached!
% 0.78/0.40 % (352955)------------------------------
% 0.78/0.40 % (352955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (352955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (352955)CaDiCaL version: 2.1.3
% 0.78/0.40 % (352955)Termination reason: Instruction limit
% 0.78/0.40 % (352955)Termination phase: Saturation
% 0.78/0.40 % (352955)Time elapsed: 0.038 s
% 0.78/0.40 % (352955)Peak memory usage: 12 MB
% 0.78/0.40 % (352955)Instructions burned: 75 (million)
% 0.78/0.40 % (352968)Instruction limit reached!
% 0.78/0.40 % (352968)------------------------------
% 0.78/0.40 % (352968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (352968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (352968)CaDiCaL version: 2.1.3
% 0.78/0.40 % (352968)Termination reason: Instruction limit
% 0.78/0.40 % (352968)Termination phase: Saturation
% 0.78/0.40 % (352968)Time elapsed: 0.006 s
% 0.78/0.40 % (352968)Peak memory usage: 12 MB
% 0.78/0.40 % (352968)Instructions burned: 13 (million)
% 0.78/0.40 % (352975)lrs+10_1_si=on:cs=on:random_seed=1352519241:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.40 % (352950)Instruction limit reached!
% 0.78/0.40 % (352950)------------------------------
% 0.78/0.40 % (352950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (352950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (352950)CaDiCaL version: 2.1.3
% 0.78/0.40 % (352950)Termination reason: Instruction limit
% 0.78/0.43 % (352950)Termination phase: Saturation
% 0.78/0.43 % (352950)Time elapsed: 0.048 s
% 0.78/0.43 % (352950)Peak memory usage: 12 MB
% 0.78/0.43 % (352950)Instructions burned: 94 (million)
% 0.78/0.43 % (352975)Instruction limit reached!
% 0.78/0.43 % (352975)------------------------------
% 0.78/0.43 % (352975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (352975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (352975)CaDiCaL version: 2.1.3
% 0.78/0.43 % (352975)Termination reason: Instruction limit
% 0.78/0.43 % (352975)Termination phase: Saturation
% 0.78/0.43 % (352975)Time elapsed: 0.002 s
% 0.78/0.43 % (352975)Peak memory usage: 11 MB
% 0.78/0.43 % (352975)Instructions burned: 11 (million)
% 0.78/0.43 % (352974)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=2123974955:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.43 % (352976)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.43 % (352976)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=1155856059:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.43 % (352977)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2160851000:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.78/0.43 % (352976)Instruction limit reached!
% 0.78/0.43 % (352976)------------------------------
% 0.78/0.43 % (352976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (352976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (352976)CaDiCaL version: 2.1.3
% 0.78/0.43 % (352976)Termination reason: Instruction limit
% 0.78/0.43 % (352976)Termination phase: Function definition elimination
% 0.78/0.43 % (352976)Time elapsed: 0.003 s
% 0.78/0.43 % (352976)Peak memory usage: 10 MB
% 0.78/0.43 % (352976)Instructions burned: 8 (million)
% 0.78/0.43 % (352980)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2951889077:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.78/0.43 % (352977)Refutation not found, incomplete strategy
% 0.78/0.43 % (352977)------------------------------
% 0.78/0.43 % (352977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (352977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (352977)CaDiCaL version: 2.1.3
% 0.78/0.43 % (352977)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.43 % (352977)Time elapsed: 0.006 s
% 0.78/0.43 % (352977)Peak memory usage: 12 MB
% 0.78/0.43 % (352977)Instructions burned: 11 (million)
% 0.78/0.43 % (352977)------------------------------
% 0.78/0.43 % (352977)------------------------------
% 0.78/0.43 % (352979)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3960012683:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.78/0.43 % (352980)Instruction limit reached!
% 0.78/0.43 % (352980)------------------------------
% 0.78/0.43 % (352980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (352980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (352980)CaDiCaL version: 2.1.3
% 0.78/0.43 % (352980)Termination reason: Instruction limit
% 0.78/0.43 % (352980)Termination phase: Saturation
% 0.78/0.43 % (352980)Time elapsed: 0.008 s
% 0.78/0.43 % (352980)Peak memory usage: 12 MB
% 0.78/0.43 % (352980)Instructions burned: 25 (million)
% 0.78/0.43 % (352956)Instruction limit reached!
% 0.78/0.43 % (352956)------------------------------
% 0.78/0.43 % (352956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.43 % (352956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.43 % (352956)CaDiCaL version: 2.1.3
% 0.78/0.43 % (352956)Termination reason: Instruction limit
% 0.78/0.43 % (352956)Termination phase: Saturation
% 0.78/0.43 % (352956)Time elapsed: 0.074 s
% 0.78/0.43 % (352956)Peak memory usage: 12 MB
% 0.78/0.43 % (352956)Instructions burned: 159 (million)
% 0.78/0.43 % (352984)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2589563452:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.46/0.48 % (352988)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=630131735:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.48 % (352986)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=883210949:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.46/0.48 % (352988)Instruction limit reached!
% 1.46/0.48 % (352988)------------------------------
% 1.46/0.48 % (352988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (352988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (352988)CaDiCaL version: 2.1.3
% 1.46/0.48 % (352988)Termination reason: Instruction limit
% 1.46/0.48 % (352988)Termination phase: Saturation
% 1.46/0.48 % (352988)Time elapsed: 0.004 s
% 1.46/0.48 % (352988)Peak memory usage: 12 MB
% 1.46/0.48 % (352988)Instructions burned: 16 (million)
% 1.46/0.48 % (352984)Instruction limit reached!
% 1.46/0.48 % (352984)------------------------------
% 1.46/0.48 % (352984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (352984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (352984)CaDiCaL version: 2.1.3
% 1.46/0.48 % (352984)Termination reason: Instruction limit
% 1.46/0.48 % (352984)Termination phase: Saturation
% 1.46/0.48 % (352984)Time elapsed: 0.008 s
% 1.46/0.48 % (352984)Peak memory usage: 12 MB
% 1.46/0.48 % (352984)Instructions burned: 15 (million)
% 1.46/0.48 % (352989)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=868176694: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)
% 1.46/0.48 % (352989)Instruction limit reached!
% 1.46/0.48 % (352989)------------------------------
% 1.46/0.48 % (352989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (352989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (352989)CaDiCaL version: 2.1.3
% 1.46/0.48 % (352989)Termination reason: Instruction limit
% 1.46/0.48 % (352989)Termination phase: Property scanning
% 1.46/0.48 % (352989)Time elapsed: 0.002 s
% 1.46/0.48 % (352989)Peak memory usage: 9 MB
% 1.46/0.48 % (352989)Instructions burned: 4 (million)
% 1.46/0.48 % (352993)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1941606478:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.48 % (352974)Instruction limit reached!
% 1.46/0.48 % (352974)------------------------------
% 1.46/0.48 % (352974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (352974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (352974)CaDiCaL version: 2.1.3
% 1.46/0.48 % (352974)Termination reason: Instruction limit
% 1.46/0.48 % (352974)Termination phase: Saturation
% 1.46/0.48 % (352974)Time elapsed: 0.043 s
% 1.46/0.48 % (352974)Peak memory usage: 12 MB
% 1.46/0.48 % (352974)Instructions burned: 87 (million)
% 1.46/0.48 % (352993)Instruction limit reached!
% 1.46/0.48 % (352993)------------------------------
% 1.46/0.48 % (352993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (352993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (352993)CaDiCaL version: 2.1.3
% 1.46/0.48 % (352993)Termination reason: Instruction limit
% 1.46/0.48 % (352993)Termination phase: Saturation
% 1.46/0.48 % (352993)Time elapsed: 0.007 s
% 1.46/0.48 % (352993)Peak memory usage: 12 MB
% 1.46/0.48 % (352993)Instructions burned: 28 (million)
% 1.46/0.48 % (352994)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3590469562:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.48 % (352998)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
% 1.46/0.48 % (352998)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.48 % (352999)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.48 % (352996)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=479534574:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.56 % (352999)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=3694048974:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.56 % (352998)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=3007057771:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.56 % (352999)Instruction limit reached!
% 1.46/0.56 % (352999)------------------------------
% 1.46/0.56 % (352999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (352999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (352999)CaDiCaL version: 2.1.3
% 1.46/0.56 % (352999)Termination reason: Instruction limit
% 1.46/0.56 % (352999)Termination phase: Function definition elimination
% 1.46/0.56 % (352999)Time elapsed: 0.002 s
% 1.46/0.56 % (352999)Peak memory usage: 10 MB
% 1.46/0.56 % (352999)Instructions burned: 8 (million)
% 1.46/0.56 % (352994)Instruction limit reached!
% 1.46/0.56 % (352994)------------------------------
% 1.46/0.56 % (352994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (352994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (352994)CaDiCaL version: 2.1.3
% 1.46/0.56 % (352994)Termination reason: Instruction limit
% 1.46/0.56 % (352994)Termination phase: Saturation
% 1.46/0.56 % (352994)Time elapsed: 0.012 s
% 1.46/0.56 % (352994)Peak memory usage: 11 MB
% 1.46/0.56 % (352994)Instructions burned: 23 (million)
% 1.46/0.56 % (352998)Instruction limit reached!
% 1.46/0.56 % (352998)------------------------------
% 1.46/0.56 % (352998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (352998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (352998)CaDiCaL version: 2.1.3
% 1.46/0.56 % (352998)Termination reason: Instruction limit
% 1.46/0.56 % (352998)Termination phase: Saturation
% 1.46/0.56 % (352998)Time elapsed: 0.007 s
% 1.46/0.56 % (352998)Peak memory usage: 12 MB
% 1.46/0.56 % (352998)Instructions burned: 14 (million)
% 1.46/0.56 % (353004)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=2616731627:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.56 % (353004)Instruction limit reached!
% 1.46/0.56 % (353004)------------------------------
% 1.46/0.56 % (353004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (353004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (353004)CaDiCaL version: 2.1.3
% 1.46/0.56 % (353004)Termination reason: Instruction limit
% 1.46/0.56 % (353004)Termination phase: Saturation
% 1.46/0.56 % (353004)Time elapsed: 0.007 s
% 1.46/0.56 % (353004)Peak memory usage: 12 MB
% 1.46/0.56 % (353004)Instructions burned: 32 (million)
% 1.46/0.56 % (353005)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2846106116:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.56 % (353006)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2298921610:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.56 % (353005)Instruction limit reached!
% 1.46/0.56 % (353005)------------------------------
% 1.46/0.56 % (353005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (353005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (353005)CaDiCaL version: 2.1.3
% 1.46/0.56 % (353005)Termination reason: Instruction limit
% 1.46/0.56 % (353005)Termination phase: Saturation
% 1.46/0.56 % (353005)Time elapsed: 0.004 s
% 1.46/0.56 % (353005)Peak memory usage: 11 MB
% 1.46/0.56 % (353005)Instructions burned: 9 (million)
% 1.46/0.56 % (353008)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=66860657:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.46/0.56 % (352996)Instruction limit reached!
% 1.46/0.56 % (352996)------------------------------
% 1.46/0.56 % (352996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (352996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (352996)CaDiCaL version: 2.1.3
% 2.18/0.61 % (352996)Termination reason: Instruction limit
% 2.18/0.61 % (352996)Termination phase: Saturation
% 2.18/0.61 % (352996)Time elapsed: 0.035 s
% 2.18/0.61 % (352996)Peak memory usage: 12 MB
% 2.18/0.61 % (352996)Instructions burned: 64 (million)
% 2.18/0.61 % (353008)Instruction limit reached!
% 2.18/0.61 % (353008)------------------------------
% 2.18/0.61 % (353008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.61 % (353008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.61 % (353008)CaDiCaL version: 2.1.3
% 2.18/0.61 % (353008)Termination reason: Instruction limit
% 2.18/0.61 % (353008)Termination phase: Saturation
% 2.18/0.61 % (353008)Time elapsed: 0.005 s
% 2.18/0.61 % (353008)Peak memory usage: 12 MB
% 2.18/0.61 % (353008)Instructions burned: 20 (million)
% 2.18/0.61 % (353006)Instruction limit reached!
% 2.18/0.61 % (353006)------------------------------
% 2.18/0.61 % (353006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.61 % (353006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.61 % (353006)CaDiCaL version: 2.1.3
% 2.18/0.61 % (353006)Termination reason: Instruction limit
% 2.18/0.61 % (353006)Termination phase: Saturation
% 2.18/0.61 % (353006)Time elapsed: 0.010 s
% 2.18/0.61 % (353006)Peak memory usage: 11 MB
% 2.18/0.61 % (353006)Instructions burned: 24 (million)
% 2.18/0.61 % (353012)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=900056952:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.18/0.61 % (353015)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3766124323:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.18/0.61 % (353013)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3093601786:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.18/0.61 % (353014)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2708662793:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.18/0.61 % (353015)Instruction limit reached!
% 2.18/0.61 % (353015)------------------------------
% 2.18/0.61 % (353015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.61 % (353015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.61 % (353015)CaDiCaL version: 2.1.3
% 2.18/0.61 % (353015)Termination reason: Instruction limit
% 2.18/0.61 % (353015)Termination phase: Saturation
% 2.18/0.61 % (353015)Time elapsed: 0.013 s
% 2.18/0.61 % (353015)Peak memory usage: 12 MB
% 2.18/0.61 % (353015)Instructions burned: 44 (million)
% 2.18/0.61 % (352979)Instruction limit reached!
% 2.18/0.61 % (352979)------------------------------
% 2.18/0.61 % (352979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.61 % (352979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.61 % (352979)CaDiCaL version: 2.1.3
% 2.18/0.61 % (352979)Termination reason: Instruction limit
% 2.18/0.61 % (352979)Termination phase: Saturation
% 2.18/0.61 % (352979)Time elapsed: 0.112 s
% 2.18/0.61 % (352979)Peak memory usage: 13 MB
% 2.18/0.61 % (352979)Instructions burned: 251 (million)
% 2.18/0.61 % (353020)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.18/0.61 % (353020)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3844069678:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.18/0.61 % (353020)Instruction limit reached!
% 2.18/0.61 % (353020)------------------------------
% 2.18/0.61 % (353020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.61 % (353020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.61 % (353020)CaDiCaL version: 2.1.3
% 2.18/0.61 % (353020)Termination reason: Instruction limit
% 2.18/0.61 % (353020)Termination phase: Property scanning
% 2.18/0.61 % (353020)Time elapsed: 0.002 s
% 2.18/0.61 % (353020)Peak memory usage: 10 MB
% 2.18/0.61 % (353020)Instructions burned: 9 (million)
% 2.18/0.61 % (353021)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=575386783:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.18/0.61 % (353023)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=3541075110: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)
% 2.49/0.70 % (352986)Instruction limit reached!
% 2.49/0.70 % (352986)------------------------------
% 2.49/0.70 % (352986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.70 % (352986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.70 % (352986)CaDiCaL version: 2.1.3
% 2.49/0.70 % (352986)Termination reason: Instruction limit
% 2.49/0.70 % (352986)Termination phase: Saturation
% 2.49/0.70 % (352986)Time elapsed: 0.154 s
% 2.49/0.70 % (352986)Peak memory usage: 13 MB
% 2.49/0.70 % (352986)Instructions burned: 327 (million)
% 2.49/0.70 % (353013)Instruction limit reached!
% 2.49/0.70 % (353013)------------------------------
% 2.49/0.70 % (353013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.70 % (353013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.70 % (353013)CaDiCaL version: 2.1.3
% 2.49/0.70 % (353013)Termination reason: Instruction limit
% 2.49/0.70 % (353013)Termination phase: Saturation
% 2.49/0.70 % (353013)Time elapsed: 0.076 s
% 2.49/0.70 % (353013)Peak memory usage: 13 MB
% 2.49/0.70 % (353013)Instructions burned: 143 (million)
% 2.49/0.70 % (353023)Instruction limit reached!
% 2.49/0.70 % (353023)------------------------------
% 2.49/0.70 % (353023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.70 % (353023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.70 % (353023)CaDiCaL version: 2.1.3
% 2.49/0.70 % (353023)Termination reason: Instruction limit
% 2.49/0.70 % (353023)Termination phase: Saturation
% 2.49/0.70 % (353023)Time elapsed: 0.046 s
% 2.49/0.70 % (353023)Peak memory usage: 12 MB
% 2.49/0.70 % (353023)Instructions burned: 170 (million)
% 2.49/0.70 % (353026)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.49/0.70 % (353028)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1656924491:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.49/0.70 % (353026)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=581790417:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.49/0.70 % (353014)Instruction limit reached!
% 2.49/0.70 % (353014)------------------------------
% 2.49/0.70 % (353014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.70 % (353014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.70 % (353014)CaDiCaL version: 2.1.3
% 2.49/0.70 % (353014)Termination reason: Instruction limit
% 2.49/0.70 % (353014)Termination phase: Saturation
% 2.49/0.70 % (353014)Time elapsed: 0.088 s
% 2.49/0.70 % (353014)Peak memory usage: 12 MB
% 2.49/0.70 % (353014)Instructions burned: 195 (million)
% 2.49/0.70 % (353028)Instruction limit reached!
% 2.49/0.70 % (353028)------------------------------
% 2.49/0.70 % (353028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.70 % (353028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.70 % (353026)Instruction limit reached!
% 2.49/0.70 % (353026)------------------------------
% 2.49/0.70 % (353026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.70 % (353028)CaDiCaL version: 2.1.3
% 2.49/0.70 % (353028)Termination reason: Instruction limit
% 2.49/0.70 % (353028)Termination phase: Saturation
% 2.49/0.70 % (353028)Time elapsed: 0.006 s
% 2.49/0.70 % (353028)Peak memory usage: 12 MB
% 2.49/0.70 % (353028)Instructions burned: 21 (million)
% 2.49/0.70 % (353026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.70 % (353026)CaDiCaL version: 2.1.3
% 2.49/0.70 % (353026)Termination reason: Instruction limit
% 2.49/0.70 % (353026)Termination phase: Property scanning
% 2.49/0.70 % (353026)Time elapsed: 0.004 s
% 2.49/0.70 % (353026)Peak memory usage: 10 MB
% 2.49/0.70 % (353026)Instructions burned: 7 (million)
% 2.49/0.70 % (353027)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2326687433:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.49/0.70 % (353032)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=2457001908: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)
% 2.70/0.78 % (353027)Instruction limit reached!
% 2.70/0.78 % (353027)------------------------------
% 2.70/0.78 % (353027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353027)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353027)Termination reason: Instruction limit
% 2.70/0.78 % (353027)Termination phase: Saturation
% 2.70/0.78 % (353027)Time elapsed: 0.012 s
% 2.70/0.78 % (353027)Peak memory usage: 12 MB
% 2.70/0.78 % (353027)Instructions burned: 23 (million)
% 2.70/0.78 % (353031)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=3737050149:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.70/0.78 % (353033)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=3436022084: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)
% 2.70/0.78 % (353021)Instruction limit reached!
% 2.70/0.78 % (353021)------------------------------
% 2.70/0.78 % (353021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353021)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353021)Termination reason: Instruction limit
% 2.70/0.78 % (353021)Termination phase: Saturation
% 2.70/0.78 % (353021)Time elapsed: 0.093 s
% 2.70/0.78 % (353021)Peak memory usage: 13 MB
% 2.70/0.78 % (353021)Instructions burned: 181 (million)
% 2.70/0.78 % (353037)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1435004691:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.70/0.78 % (353037)Refutation not found, incomplete strategy
% 2.70/0.78 % (353037)------------------------------
% 2.70/0.78 % (353037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353037)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353037)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.78 % (353037)Time elapsed: 0.004 s
% 2.70/0.78 % (353037)Peak memory usage: 12 MB
% 2.70/0.78 % (353037)Instructions burned: 8 (million)
% 2.70/0.78 % (353037)------------------------------
% 2.70/0.78 % (353037)------------------------------
% 2.70/0.78 % (353033)Instruction limit reached!
% 2.70/0.78 % (353033)------------------------------
% 2.70/0.78 % (353033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353033)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353033)Termination reason: Instruction limit
% 2.70/0.78 % (353033)Termination phase: Saturation
% 2.70/0.78 % (353033)Time elapsed: 0.024 s
% 2.70/0.78 % (353033)Peak memory usage: 12 MB
% 2.70/0.78 % (353033)Instructions burned: 46 (million)
% 2.70/0.78 % (353039)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=593333742:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.70/0.78 % (353041)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.70/0.78 % (353041)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3832954851:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.70/0.78 % (353039)Instruction limit reached!
% 2.70/0.78 % (353039)------------------------------
% 2.70/0.78 % (353039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353039)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353039)Termination reason: Instruction limit
% 2.70/0.78 % (353039)Termination phase: Saturation
% 2.70/0.78 % (353039)Time elapsed: 0.012 s
% 2.70/0.78 % (353039)Peak memory usage: 12 MB
% 2.70/0.78 % (353039)Instructions burned: 23 (million)
% 2.70/0.78 % (353042)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3820119515:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.70/0.78 % (352953)Instruction limit reached!
% 2.70/0.78 % (352953)------------------------------
% 2.70/0.78 % (352953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (352953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (352953)CaDiCaL version: 2.1.3
% 2.70/0.78 % (352953)Termination reason: Instruction limit
% 2.70/0.78 % (352953)Termination phase: Saturation
% 2.70/0.78 % (352953)Time elapsed: 0.330 s
% 2.70/0.78 % (352953)Peak memory usage: 15 MB
% 2.70/0.78 % (352953)Instructions burned: 636 (million)
% 2.70/0.78 % (353042)Instruction limit reached!
% 2.70/0.78 % (353042)------------------------------
% 2.70/0.78 % (353042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353042)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353042)Termination reason: Instruction limit
% 2.70/0.78 % (353042)Termination phase: Saturation
% 2.70/0.78 % (353042)Time elapsed: 0.007 s
% 2.70/0.78 % (353042)Peak memory usage: 12 MB
% 2.70/0.78 % (353042)Instructions burned: 13 (million)
% 2.70/0.78 % (353045)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=4176674031:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.70/0.78 % (353047)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2411759291:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.70/0.78 % (353048)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2071661072:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.70/0.78 % (353048)Instruction limit reached!
% 2.70/0.78 % (353048)------------------------------
% 2.70/0.78 % (353048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353048)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353048)Termination reason: Instruction limit
% 2.70/0.78 % (353048)Termination phase: Saturation
% 2.70/0.78 % (353048)Time elapsed: 0.016 s
% 2.70/0.78 % (353048)Peak memory usage: 12 MB
% 2.70/0.78 % (353048)Instructions burned: 31 (million)
% 2.70/0.78 % (353047)Instruction limit reached!
% 2.70/0.78 % (353047)------------------------------
% 2.70/0.78 % (353047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353047)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353047)Termination reason: Instruction limit
% 2.70/0.78 % (353047)Termination phase: Saturation
% 2.70/0.78 % (353047)Time elapsed: 0.027 s
% 2.70/0.78 % (353047)Peak memory usage: 12 MB
% 2.70/0.78 % (353047)Instructions burned: 52 (million)
% 2.70/0.78 % (353045)Instruction limit reached!
% 2.70/0.78 % (353045)------------------------------
% 2.70/0.78 % (353045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353045)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353045)Termination reason: Instruction limit
% 2.70/0.78 % (353045)Termination phase: Saturation
% 2.70/0.78 % (353045)Time elapsed: 0.034 s
% 2.70/0.78 % (353045)Peak memory usage: 13 MB
% 2.70/0.78 % (353045)Instructions burned: 66 (million)
% 2.70/0.78 % (353052)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2691964196:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.70/0.78 % (353053)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=2605929913:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.70/0.78 % (353054)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3474884199:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.70/0.78 % (353053)Instruction limit reached!
% 2.70/0.78 % (353053)------------------------------
% 2.70/0.78 % (353053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353053)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353053)Termination reason: Instruction limit
% 2.70/0.78 % (353053)Termination phase: Saturation
% 2.70/0.78 % (353053)Time elapsed: 0.016 s
% 2.70/0.78 % (353053)Peak memory usage: 12 MB
% 2.70/0.78 % (353053)Instructions burned: 34 (million)
% 2.70/0.78 % (353041)Instruction limit reached!
% 2.70/0.78 % (353041)------------------------------
% 2.70/0.78 % (353041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353041)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353041)Termination reason: Instruction limit
% 2.70/0.78 % (353041)Termination phase: Saturation
% 2.70/0.78 % (353041)Time elapsed: 0.095 s
% 2.70/0.78 % (353041)Peak memory usage: 12 MB
% 2.70/0.78 % (353041)Instructions burned: 202 (million)
% 2.70/0.78 % (353031)Instruction limit reached!
% 2.70/0.78 % (353031)------------------------------
% 2.70/0.78 % (353031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353031)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353031)Termination reason: Instruction limit
% 2.70/0.78 % (353031)Termination phase: Saturation
% 2.70/0.78 % (353031)Time elapsed: 0.147 s
% 2.70/0.78 % (353031)Peak memory usage: 16 MB
% 2.70/0.78 % (353031)Instructions burned: 318 (million)
% 2.70/0.78 % (353058)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.70/0.78 % (353058)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3318226823:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.70/0.78 % (353054)Instruction limit reached!
% 2.70/0.78 % (353054)------------------------------
% 2.70/0.78 % (353054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353054)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353054)Termination reason: Instruction limit
% 2.70/0.78 % (353054)Termination phase: Saturation
% 2.70/0.78 % (353054)Time elapsed: 0.036 s
% 2.70/0.78 % (353054)Peak memory usage: 12 MB
% 2.70/0.78 % (353054)Instructions burned: 68 (million)
% 2.70/0.78 % (353059)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=469976533:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.70/0.78 % (353060)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=957340783:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.70/0.78 % (353062)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2171699584:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.70/0.78 % (353032)Instruction limit reached!
% 2.70/0.78 % (353032)------------------------------
% 2.70/0.78 % (353032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353032)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353032)Termination reason: Instruction limit
% 2.70/0.78 % (353032)Termination phase: Saturation
% 2.70/0.78 % (353032)Time elapsed: 0.182 s
% 2.70/0.78 % (353032)Peak memory usage: 17 MB
% 2.70/0.78 % (353032)Instructions burned: 857 (million)
% 2.70/0.78 % (353052)Instruction limit reached!
% 2.70/0.78 % (353052)------------------------------
% 2.70/0.78 % (353052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353052)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353052)Termination reason: Instruction limit
% 2.70/0.78 % (353052)Termination phase: Saturation
% 2.70/0.78 % (353052)Time elapsed: 0.071 s
% 2.70/0.78 % (353052)Peak memory usage: 12 MB
% 2.70/0.78 % (353052)Instructions burned: 137 (million)
% 2.70/0.78 % (353066)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=678065465:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 2.70/0.78 % (353067)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3032113566:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 2.70/0.78 % (353060) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-352945-353060"...
% 2.70/0.78 % (353060)...printing done.
% 2.70/0.78 % (353060)Refutation found. Thanks to Tanya!
% 2.70/0.78 % SZS status Theorem for theBenchmark
% 2.70/0.78 % SZS output start Proof for theBenchmark
% 2.70/0.78 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.70/0.78 thf(func_def_0, type, subrel: (($i > $i > $o) > ($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_2, type, inv: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_3, type, idem: ((($i > $i > $o) > $i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_4, type, infl: ((($i > $i > $o) > $i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_5, type, mono: ((($i > $i > $o) > $i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_6, type, refl: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_7, type, irrefl: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_8, type, rc: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_9, type, symm: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_10, type, antisymm: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_11, type, asymm: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_12, type, sc: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_13, type, trans: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_14, type, tc: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_15, type, trc: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_16, type, trsc: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_17, type, po: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_18, type, so: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_19, type, total: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_20, type, term: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_21, type, ind: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_22, type, innf: (($i > $i > $o) > $i > $o)).
% 2.70/0.78 thf(func_def_23, type, nfof: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_24, type, norm: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_25, type, join: (($i > $i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_26, type, lconfl: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_27, type, sconfl: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_28, type, confl: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_29, type, cr: (($i > $i > $o) > $o)).
% 2.70/0.78 thf(func_def_30, type, vOR: ($o > $o > $o)).
% 2.70/0.78 thf(func_def_31, type, db2: !>[X0: $tType]:(X0)).
% 2.70/0.78 thf(func_def_32, type, db0: !>[X0: $tType]:(X0)).
% 2.70/0.78 thf(func_def_33, type, db1: !>[X0: $tType]:(X0)).
% 2.70/0.78 thf(func_def_34, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.70/0.78 thf(func_def_35, type, vNOT: ($o > $o)).
% 2.70/0.78 thf(func_def_36, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.70/0.78 thf(func_def_37, type, vAND: ($o > $o > $o)).
% 2.70/0.78 thf(func_def_38, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.70/0.78 thf(func_def_39, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.70/0.78 thf(func_def_40, type, vIMP: ($o > $o > $o)).
% 2.70/0.78 thf(func_def_41, type, db3: !>[X0: $tType]:(X0)).
% 2.70/0.78 thf(func_def_44, type, sK0: ($i > $i > $o)).
% 2.70/0.78 thf(func_def_45, type, sF1: $o).
% 2.70/0.78 thf(func_def_46, type, sF2: $o).
% 2.70/0.78 thf(func_def_47, type, sK3: (($i > $o) > $i)).
% 2.70/0.78 thf(func_def_48, type, sK4: ($i > ($i > $o) > $i > $i > $o)).
% 2.70/0.78 thf(func_def_49, type, sK5: ($i > $o)).
% 2.70/0.78 thf(func_def_50, type, sK6: ($i > $i)).
% 2.70/0.78 thf(func_def_51, type, sK7: (($i > $i > $o) > $i)).
% 2.70/0.78 thf(func_def_52, type, sK8: (($i > $i > $o) > $i)).
% 2.70/0.78 thf(func_def_53, type, sK9: (($i > $i > $o) > $i)).
% 2.70/0.78 thf(func_def_54, type, sK10: (($i > $i > $o) > $i)).
% 2.70/0.78 thf(func_def_55, type, sK11: (($i > $i > $o) > $i)).
% 2.70/0.78 thf(func_def_56, type, sK12: (($i > $i > $o) > $i)).
% 2.70/0.78 thf(func_def_58, type, sK14: ($i > $o)).
% 2.70/0.78 thf(func_def_60, type, sK16: ($i > $i)).
% 2.70/0.78 thf(func_def_61, type, sK17: (($i > $o) > $i)).
% 2.70/0.78 thf(f1,axiom,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o), X1 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
% 2.70/0.78 file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',subrel)).
% 2.70/0.78 thf(f13,axiom,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i,X1 : $i] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3)))) = trans)),
% 2.70/0.78 file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',transitive)).
% 2.70/0.78 thf(f14,axiom,(
% 2.70/0.78 (tc = (^[X0 : ($i > $i > $o), X1 : $i, X2 : $i] : (! [X3 : ($i > $i > $o)] : (((subrel @ X0 @ X3) & (trans @ X3)) => (X3 @ X1 @ X2)))))),
% 2.70/0.78 file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',transitive_closure)).
% 2.70/0.78 thf(f20,axiom,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o)] : (! [X1 : ($i > $o)] : (? [X2 : $i] : (X1 @ X2) => ? [X2 : $i] : (! [X3 : $i] : ((X1 @ X3) => ~(X0 @ X2 @ X3)) & (X1 @ X2))))) = term)),
% 2.70/0.78 file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',terminating)).
% 2.70/0.78 thf(f21,axiom,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o)] : (! [X1 : ($i > $o)] : (! [X2 : $i] : (! [X3 : $i] : ((tc @ X0 @ X2 @ X3) => (X1 @ X3)) => (X1 @ X2)) => ! [X2 : $i] : (X1 @ X2)))) = ind)),
% 2.70/0.78 file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',satisfying_the_induction_principle)).
% 2.70/0.78 thf(f30,conjecture,(
% 2.70/0.78 ! [X0 : ($i > $i > $o)] : ((ind @ X0) => (term @ X0))),
% 2.70/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction_implies_termination)).
% 2.70/0.78 thf(f31,negated_conjecture,(
% 2.70/0.78 ~ ! [X0 : ($i > $i > $o)] : ((ind @ X0) => (term @ X0))),
% 2.70/0.78 inference(negated_conjecture,[status(cth)],[f30])).
% 2.70/0.78 thf(f51,plain,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o)] : (! [X1 : ($i > $o)] : (! [X2 : $i] : (! [X3 : $i] : ((tc @ X0 @ X2 @ X3) => (X1 @ X3)) => (X1 @ X2)) => ! [X4 : $i] : (X1 @ X4)))) = ind)),
% 2.70/0.78 inference(rectify,[],[f21])).
% 2.70/0.78 thf(f52,plain,(
% 2.70/0.78 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((tc @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 2.70/0.78 inference(fool_elimination,[],[f51])).
% 2.70/0.78 thf(f59,plain,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i,X3 : $i] : (((X0 @ X3 @ X1) & (X0 @ X1 @ X2)) => (X0 @ X3 @ X2)))) = trans)),
% 2.70/0.78 inference(rectify,[],[f13])).
% 2.70/0.78 thf(f60,plain,(
% 2.70/0.78 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
% 2.70/0.78 inference(fool_elimination,[],[f59])).
% 2.70/0.78 thf(f67,plain,(
% 2.70/0.78 ~ ! [X0 : ($i > $i > $o)] : ((ind @ X0) => (term @ X0))),
% 2.70/0.78 inference(rectify,[],[f31])).
% 2.70/0.78 thf(f68,plain,(
% 2.70/0.78 ~ ! [X0 : ($i > $i > $o)] : ((((ind @ X0)) = $true) => (((term @ X0)) = $true))),
% 2.70/0.78 inference(fool_elimination,[],[f67])).
% 2.70/0.78 thf(f79,plain,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o)] : (! [X1 : ($i > $o)] : (? [X2 : $i] : (X1 @ X2) => ? [X3 : $i] : (! [X4 : $i] : ((X1 @ X4) => ~(X0 @ X3 @ X4)) & (X1 @ X3))))) = term)),
% 2.70/0.78 inference(rectify,[],[f20])).
% 2.70/0.78 thf(f80,plain,(
% 2.70/0.78 (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))))),
% 2.70/0.78 inference(fool_elimination,[],[f79])).
% 2.70/0.78 thf(f81,plain,(
% 2.70/0.78 (tc = (^[X0 : ($i > $i > $o), X1 : $i, X2 : $i] : (! [X3 : ($i > $i > $o)] : (((subrel @ X0 @ X3) & (trans @ X3)) => (X3 @ X1 @ X2)))))),
% 2.70/0.78 inference(rectify,[],[f14])).
% 2.70/0.78 thf(f82,plain,(
% 2.70/0.78 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((trans @ Y3) & (subrel @ Y0 @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 2.70/0.78 inference(fool_elimination,[],[f81])).
% 2.70/0.78 thf(f86,plain,(
% 2.70/0.78 ((^[X0 : ($i > $i > $o), X1 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
% 2.70/0.78 inference(rectify,[],[f1])).
% 2.70/0.78 thf(f87,plain,(
% 2.70/0.78 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 2.70/0.78 inference(fool_elimination,[],[f86])).
% 2.70/0.78 thf(f88,plain,(
% 2.70/0.78 ? [X0 : ($i > $i > $o)] : ((((term @ X0)) != $true) & (((ind @ X0)) = $true))),
% 2.70/0.78 inference(ennf_transformation,[],[f68])).
% 2.70/0.78 thf(f89,plain,(
% 2.70/0.78 (((term @ sK0)) != $true) & (((ind @ sK0)) = $true)),
% 2.70/0.78 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f88])).
% 2.70/0.78 thf(f96,plain,(
% 2.70/0.78 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 2.70/0.78 inference(cnf_transformation,[],[f87])).
% 2.70/0.78 thf(f101,plain,(
% 2.70/0.78 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((tc @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 2.70/0.78 inference(cnf_transformation,[],[f52])).
% 2.70/0.78 thf(f103,plain,(
% 2.70/0.78 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((trans @ Y3) & (subrel @ Y0 @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 2.70/0.78 inference(cnf_transformation,[],[f82])).
% 2.70/0.78 thf(f104,plain,(
% 2.70/0.78 (((ind @ sK0)) = $true)),
% 2.70/0.78 inference(cnf_transformation,[],[f89])).
% 2.70/0.78 thf(f105,plain,(
% 2.70/0.78 (((term @ sK0)) != $true)),
% 2.70/0.78 inference(cnf_transformation,[],[f89])).
% 2.70/0.78 thf(f108,plain,(
% 2.70/0.78 (term = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))))),
% 2.70/0.78 inference(cnf_transformation,[],[f80])).
% 2.70/0.78 thf(f111,plain,(
% 2.70/0.78 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
% 2.70/0.78 inference(cnf_transformation,[],[f60])).
% 2.70/0.78 thf(f122,definition,(
% 2.70/0.78 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.70/0.78 introduced(theory,[fool_exhaustiveness_axiom])).
% 2.70/0.78 thf(f125,plain,(
% 2.70/0.78 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y7 @ Y6) & (Y4 @ Y5 @ Y7)) => (Y4 @ Y5 @ Y6))))))))) @ Y3) & ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6))))))))) @ Y0 @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 2.70/0.78 inference(definition_unfolding,[],[f103,f111,f96])).
% 2.70/0.78 thf(f130,plain,(
% 2.70/0.78 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y9 @ Y11)) => (Y8 @ Y9 @ Y10))))))))) @ Y7) & ((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))),
% 2.70/0.78 inference(definition_unfolding,[],[f101,f125])).
% 2.70/0.78 thf(f138,plain,(
% 2.70/0.78 ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))) @ sK0)) != $true)),
% 2.70/0.78 inference(definition_unfolding,[],[f105,f108])).
% 2.70/0.78 thf(f139,plain,(
% 2.70/0.78 ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y9 @ Y11)) => (Y8 @ Y9 @ Y10))))))))) @ Y7) & ((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))) @ sK0)) = $true)),
% 2.70/0.78 inference(definition_unfolding,[],[f104,f130])).
% 2.70/0.78 thf(f140,definition,(
% 2.70/0.78 (sF1 = (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))) @ sK0)))),
% 2.70/0.78 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 2.70/0.78 thf(f141,plain,(
% 2.70/0.78 ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))) @ sK0)) = sF1)),
% 2.70/0.78 inference(reorient_equations,[],[f140])).
% 2.70/0.78 thf(f142,plain,(
% 2.70/0.78 (sF1 != $true)),
% 2.70/0.78 inference(definition_folding,[],[f138,f141])).
% 2.70/0.78 thf(f143,definition,(
% 2.70/0.78 (sF2 = (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y9 @ Y11)) => (Y8 @ Y9 @ Y10))))))))) @ Y7) & ((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))) @ sK0)))),
% 2.70/0.78 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 2.70/0.78 thf(f144,plain,(
% 2.70/0.78 (sF2 = $true)),
% 2.70/0.78 inference(definition_folding,[],[f139,f143])).
% 2.70/0.78 thf(f146,plain,(
% 2.70/0.78 ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y9 @ Y11)) => (Y8 @ Y9 @ Y10))))))))) @ Y7) & ((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))) @ sK0)) = $true) | (sF2 = $false)),
% 2.70/0.78 inference(iff_proxy_clausification,[],[f143])).
% 2.70/0.78 thf(f147,plain,(
% 2.70/0.78 (sF2 = $false) | (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y1 @ Y2)))) => (Y0 @ Y2)))) => (Y0 @ Y1)))) => (!! @ $i @ Y0))))) = $true)),
% 2.70/0.78 inference(beta-eta_normalization,[],[f146])).
% 2.70/0.78 thf(f148,plain,(
% 2.70/0.78 ( ! [X1 : ($i > $o)] : ((sF2 = $false) | ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y4 @ Y5)))))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))) => (Y3 @ Y1 @ Y2)))) => (Y0 @ Y2)))) => (Y0 @ Y1)))) => (!! @ $i @ Y0))) @ X1)) = $true)) )),
% 2.70/0.78 inference(pi_proxy_clausification,[],[f147])).
% 2.70/0.78 thf(f149,plain,(
% 2.70/0.78 ( ! [X1 : ($i > $o)] : ((sF2 = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0)))) => (!! @ $i @ X1))) = $true)) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f148])).
% 2.70/0.78 thf(f150,plain,(
% 2.70/0.78 ( ! [X1 : ($i > $o)] : ((((!! @ $i @ X1)) = $true) | (sF2 = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0))))))) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f149])).
% 2.70/0.78 thf(f151,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (sF2 = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0))))))) )),
% 2.70/0.78 inference(pi_proxy_clausification,[],[f150])).
% 2.70/0.78 thf(f152,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | ($false = (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4)))))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0))) @ (sK3 @ X1)))) | (sF2 = $false)) )),
% 2.70/0.78 inference(sigma_proxy_clausification,[],[f151])).
% 2.70/0.78 thf(f153,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (sF2 = $false) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ (sK3 @ X1) @ Y0)))) => (X1 @ Y0)))) => (X1 @ (sK3 @ X1)))))) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f152])).
% 2.70/0.78 thf(f154,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ (sK3 @ X1))) = $false) | (((X1 @ X2)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f153])).
% 2.70/0.78 thf(f155,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ (sK3 @ X1) @ Y0)))) => (X1 @ Y0))))) = $true) | (sF2 = $false) | (((X1 @ X2)) = $true)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f153])).
% 2.70/0.78 thf(f156,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (sF2 = $false) | ((((^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3)))))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ (sK3 @ X1) @ Y0)))) => (X1 @ Y0))) @ X3)) = $true)) )),
% 2.70/0.78 inference(pi_proxy_clausification,[],[f155])).
% 2.70/0.78 thf(f157,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (sF2 = $false) | ($true = (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ (sK3 @ X1) @ X3)))) => (X1 @ X3))))) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f156])).
% 2.70/0.78 thf(f158,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ (sK3 @ X1) @ X3))))) = $false) | (((X1 @ X3)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f157])).
% 2.70/0.78 thf(f159,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (sF2 = $false) | (((X1 @ X3)) = $true) | ((((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2)))))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ (sK3 @ X1) @ X3))) @ (sK4 @ X3 @ X1))) = $false)) )),
% 2.70/0.78 inference(sigma_proxy_clausification,[],[f158])).
% 2.70/0.78 thf(f160,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | ($false = ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK4 @ X3 @ X1 @ Y2 @ Y1) & (sK4 @ X3 @ X1 @ Y0 @ Y2)) => (sK4 @ X3 @ X1 @ Y0 @ Y1)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK4 @ X3 @ X1 @ Y1 @ Y0))))))) => (sK4 @ X3 @ X1 @ (sK3 @ X1) @ X3)))) | (((X1 @ X3)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f159])).
% 2.70/0.78 thf(f161,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((sK4 @ X3 @ X1 @ (sK3 @ X1) @ X3)) = $false) | (((X1 @ X2)) = $true) | (((X1 @ X3)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f160])).
% 2.70/0.78 thf(f162,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : (((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK4 @ X3 @ X1 @ Y2 @ Y1) & (sK4 @ X3 @ X1 @ Y0 @ Y2)) => (sK4 @ X3 @ X1 @ Y0 @ Y1)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK4 @ X3 @ X1 @ Y1 @ Y0)))))))) = $true) | (((X1 @ X3)) = $true) | (((X1 @ X2)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f160])).
% 2.70/0.78 thf(f163,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (sF2 = $false) | (((X1 @ X3)) = $true) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK4 @ X3 @ X1 @ Y1 @ Y0))))))) = $true)) )),
% 2.70/0.78 inference(and_proxy_clausification,[],[f162])).
% 2.70/0.78 thf(f174,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o),X4 : $i] : ((((X1 @ X3)) = $true) | (sF2 = $false) | (((X1 @ X2)) = $true) | ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK4 @ X3 @ X1 @ Y1 @ Y0))))) @ X4)) = $true)) )),
% 2.70/0.78 inference(pi_proxy_clausification,[],[f163])).
% 2.70/0.78 thf(f175,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o),X4 : $i] : ((((X1 @ X2)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X4) => (sK4 @ X3 @ X1 @ Y0 @ X4))))) = $true) | (((X1 @ X3)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f174])).
% 2.70/0.78 thf(f176,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (((((^[Y0 : $i]: ((sK0 @ Y0 @ X4) => (sK4 @ X3 @ X1 @ Y0 @ X4))) @ X5)) = $true) | (((X1 @ X2)) = $true) | (((X1 @ X3)) = $true) | (sF2 = $false)) )),
% 2.70/0.78 inference(pi_proxy_clausification,[],[f175])).
% 2.70/0.78 thf(f177,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : (((((sK0 @ X5 @ X4) => (sK4 @ X3 @ X1 @ X5 @ X4))) = $true) | (sF2 = $false) | (((X1 @ X3)) = $true) | (((X1 @ X2)) = $true)) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f176])).
% 2.70/0.78 thf(f178,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o),X4 : $i,X5 : $i] : ((((sK4 @ X3 @ X1 @ X5 @ X4)) = $true) | (sF2 = $false) | (((X1 @ X2)) = $true) | (((X1 @ X3)) = $true) | (((sK0 @ X5 @ X4)) = $false)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f177])).
% 2.70/0.78 thf(f179,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X0 : ($i > $o),X1 : $i] : ((((sK4 @ X1 @ X0 @ X2 @ X3)) = $true) | (((X0 @ X1)) = $true) | (sF2 = $false) | ($false = ((sK0 @ X2 @ X3)))) )),
% 2.70/0.78 inference(condensation,[],[f178])).
% 2.70/0.78 thf(f180,plain,(
% 2.70/0.78 ( ! [X0 : ($i > $o),X1 : $i] : (($false = ((sK4 @ X1 @ X0 @ (sK3 @ X0) @ X1))) | (sF2 = $false) | (((X0 @ X1)) = $true)) )),
% 2.70/0.78 inference(condensation,[],[f161])).
% 2.70/0.78 thf(f219,plain,(
% 2.70/0.78 ($false = (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) => (?? @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) & (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (~ (Y0 @ Y2 @ Y3)))))))))))) @ sK0))) | (sF1 = $true)),
% 2.70/0.78 inference(iff_proxy_clausification,[],[f141])).
% 2.70/0.78 thf(f220,plain,(
% 2.70/0.78 (sF1 = $true) | (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK0 @ Y1 @ Y2)))))))))))) = $false)),
% 2.70/0.78 inference(beta-eta_normalization,[],[f219])).
% 2.70/0.78 thf(f221,plain,(
% 2.70/0.78 ((((^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) & (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (~ (sK0 @ Y1 @ Y2)))))))))) @ sK14)) = $false) | (sF1 = $true)),
% 2.70/0.78 inference(sigma_proxy_clausification,[],[f220])).
% 2.70/0.78 thf(f222,plain,(
% 2.70/0.78 (sF1 = $true) | ($false = (((?? @ $i @ sK14) => (?? @ $i @ (^[Y0 : $i]: ((sK14 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK14 @ Y1) => (~ (sK0 @ Y0 @ Y1)))))))))))),
% 2.70/0.78 inference(beta-eta_normalization,[],[f221])).
% 2.70/0.78 thf(f223,plain,(
% 2.70/0.78 (sF1 = $true) | (((?? @ $i @ (^[Y0 : $i]: ((sK14 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK14 @ Y1) => (~ (sK0 @ Y0 @ Y1))))))))) = $false)),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f222])).
% 2.70/0.78 thf(f224,plain,(
% 2.70/0.78 (sF1 = $true) | (((?? @ $i @ sK14)) = $true)),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f222])).
% 2.70/0.78 thf(f225,plain,(
% 2.70/0.78 ($true = ((sK14 @ sK15))) | (sF1 = $true)),
% 2.70/0.78 inference(sigma_proxy_clausification,[],[f224])).
% 2.70/0.78 thf(f226,plain,(
% 2.70/0.78 ( ! [X1 : $i] : (($false = (((^[Y0 : $i]: ((sK14 @ Y0) & (!! @ $i @ (^[Y1 : $i]: ((sK14 @ Y1) => (~ (sK0 @ Y0 @ Y1))))))) @ X1))) | (sF1 = $true)) )),
% 2.70/0.78 inference(pi_proxy_clausification,[],[f223])).
% 2.70/0.78 thf(f227,plain,(
% 2.70/0.78 ( ! [X1 : $i] : (((((sK14 @ X1) & (!! @ $i @ (^[Y0 : $i]: ((sK14 @ Y0) => (~ (sK0 @ X1 @ Y0))))))) = $false) | (sF1 = $true)) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f226])).
% 2.70/0.78 thf(f228,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((sF1 = $true) | (((!! @ $i @ (^[Y0 : $i]: ((sK14 @ Y0) => (~ (sK0 @ X1 @ Y0)))))) = $false) | ($false = ((sK14 @ X1)))) )),
% 2.70/0.78 inference(and_proxy_clausification,[],[f227])).
% 2.70/0.78 thf(f229,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((sF1 = $true) | ($false = ((sK14 @ X1))) | ((((^[Y0 : $i]: ((sK14 @ Y0) => (~ (sK0 @ X1 @ Y0)))) @ (sK16 @ X1))) = $false)) )),
% 2.70/0.78 inference(sigma_proxy_clausification,[],[f228])).
% 2.70/0.78 thf(f230,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((sF1 = $true) | ($false = ((sK14 @ X1))) | ($false = (((sK14 @ (sK16 @ X1)) => (~ (sK0 @ X1 @ (sK16 @ X1))))))) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f229])).
% 2.70/0.78 thf(f231,plain,(
% 2.70/0.78 ( ! [X1 : $i] : (($false = ((sK14 @ X1))) | (((~ (sK0 @ X1 @ (sK16 @ X1)))) = $false) | (sF1 = $true)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f230])).
% 2.70/0.78 thf(f232,plain,(
% 2.70/0.78 ( ! [X1 : $i] : (($false = ((sK14 @ X1))) | (((sK14 @ (sK16 @ X1))) = $true) | (sF1 = $true)) )),
% 2.70/0.78 inference(imp_proxy_clausification,[],[f230])).
% 2.70/0.78 thf(f233,plain,(
% 2.70/0.78 ( ! [X1 : $i] : (($false = ((sK14 @ X1))) | (sF1 = $true) | (((sK0 @ X1 @ (sK16 @ X1))) = $true)) )),
% 2.70/0.78 inference(not_proxy_clausification,[],[f231])).
% 2.70/0.78 thf(f248,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ (sK3 @ X1))) = $false) | ($false = $true) | (((X1 @ X2)) = $true)) )),
% 2.70/0.78 inference(backward_demodulation,[],[f154,f144])).
% 2.70/0.78 thf(f250,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X0 : ($i > $o),X1 : $i] : (($false = $true) | (((sK4 @ X1 @ X0 @ X2 @ X3)) = $true) | ($false = ((sK0 @ X2 @ X3))) | (((X0 @ X1)) = $true)) )),
% 2.70/0.78 inference(backward_demodulation,[],[f179,f144])).
% 2.70/0.78 thf(f251,plain,(
% 2.70/0.78 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ X1)) = $true) | ($false = $true) | ($false = ((sK4 @ X1 @ X0 @ (sK3 @ X0) @ X1)))) )),
% 2.70/0.78 inference(backward_demodulation,[],[f180,f144])).
% 2.70/0.78 thf(f252,plain,(
% 2.70/0.78 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = $true) | (((X1 @ (sK3 @ X1))) = $false)) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f248])).
% 2.70/0.78 thf(f253,plain,(
% 2.70/0.78 ( ! [X0 : ($i > $o),X1 : $i] : (($false = ((sK4 @ X1 @ X0 @ (sK3 @ X0) @ X1))) | (((X0 @ X1)) = $true)) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f251])).
% 2.70/0.78 thf(f254,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : $i,X0 : ($i > $o),X1 : $i] : ((((sK4 @ X1 @ X0 @ X2 @ X3)) = $true) | ($false = ((sK0 @ X2 @ X3))) | (((X0 @ X1)) = $true)) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f250])).
% 2.70/0.78 thf(f258,plain,(
% 2.70/0.78 ($true != $true) | ($false = sF1)),
% 2.70/0.78 inference(superposition,[],[f142,f122])).
% 2.70/0.78 thf(f266,plain,(
% 2.70/0.78 ($false = sF1)),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f258])).
% 2.70/0.78 thf(f268,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((((sK0 @ X1 @ (sK16 @ X1))) = $true) | ($false = ((sK14 @ X1))) | ($false = $true)) )),
% 2.70/0.78 inference(backward_demodulation,[],[f233,f266])).
% 2.70/0.78 thf(f269,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((((sK14 @ (sK16 @ X1))) = $true) | ($false = ((sK14 @ X1))) | ($false = $true)) )),
% 2.70/0.78 inference(backward_demodulation,[],[f232,f266])).
% 2.70/0.78 thf(f270,plain,(
% 2.70/0.78 ($true = ((sK14 @ sK15))) | ($false = $true)),
% 2.70/0.78 inference(backward_demodulation,[],[f225,f266])).
% 2.70/0.78 thf(f271,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((((sK14 @ (sK16 @ X1))) = $true) | ($false = ((sK14 @ X1)))) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f269])).
% 2.70/0.78 thf(f272,plain,(
% 2.70/0.78 ($true = ((sK14 @ sK15)))),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f270])).
% 2.70/0.78 thf(f273,plain,(
% 2.70/0.78 ( ! [X1 : $i] : ((((sK0 @ X1 @ (sK16 @ X1))) = $true) | ($false = ((sK14 @ X1)))) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f268])).
% 2.70/0.78 thf(f279,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : ($i > $o)] : (($false = (((^[Y0 : $i]: (~ (X3 @ Y0))) @ (sK3 @ (^[Y0 : $i]: (~ (X3 @ Y0))))))) | ((((^[Y0 : $i]: (~ (X3 @ Y0))) @ X2)) = $true)) )),
% 2.70/0.78 inference(primitive_instantiation,[],[f252])).
% 2.70/0.78 thf(f290,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : ($i > $o)] : (($false = ((~ (X3 @ (sK3 @ (^[Y0 : $i]: (~ (X3 @ Y0)))))))) | (((~ (X3 @ X2))) = $true)) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f279])).
% 2.70/0.78 thf(f291,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : ($i > $o)] : ((((X3 @ (sK3 @ (^[Y0 : $i]: (~ (X3 @ Y0)))))) = $true) | (((~ (X3 @ X2))) = $true)) )),
% 2.70/0.78 inference(not_proxy_clausification,[],[f290])).
% 2.70/0.78 thf(f292,plain,(
% 2.70/0.78 ( ! [X2 : $i,X3 : ($i > $o)] : ((((X3 @ (sK3 @ (^[Y0 : $i]: (~ (X3 @ Y0)))))) = $true) | (((X3 @ X2)) = $false)) )),
% 2.70/0.78 inference(not_proxy_clausification,[],[f291])).
% 2.70/0.78 thf(f313,plain,(
% 2.70/0.78 (((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (sK14 @ Y0)))))) = $true) | ($false = $true)),
% 2.70/0.78 inference(superposition,[],[f292,f272])).
% 2.70/0.78 thf(f326,plain,(
% 2.70/0.78 (((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (sK14 @ Y0)))))) = $true)),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f313])).
% 2.70/0.78 thf(f372,plain,(
% 2.70/0.78 ( ! [X0 : $i,X1 : ($i > $o)] : ((((X1 @ X0)) = $true) | (((sK0 @ (sK3 @ X1) @ X0)) = $false) | (((X1 @ X0)) = $true) | ($false = $true)) )),
% 2.70/0.78 inference(superposition,[],[f254,f253])).
% 2.70/0.78 thf(f381,plain,(
% 2.70/0.78 ( ! [X0 : $i,X1 : ($i > $o)] : (($false = $true) | (((X1 @ X0)) = $true) | (((sK0 @ (sK3 @ X1) @ X0)) = $false)) )),
% 2.70/0.78 inference(duplicate_literal_removal,[],[f372])).
% 2.70/0.78 thf(f382,plain,(
% 2.70/0.78 ( ! [X0 : $i,X1 : ($i > $o)] : ((((sK0 @ (sK3 @ X1) @ X0)) = $false) | (((X1 @ X0)) = $true)) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f381])).
% 2.70/0.78 thf(f388,plain,(
% 2.70/0.78 ( ! [X0 : ($i > $o)] : (($false = $true) | (((X0 @ (sK16 @ (sK3 @ X0)))) = $true) | ($false = ((sK14 @ (sK3 @ X0))))) )),
% 2.70/0.78 inference(superposition,[],[f382,f273])).
% 2.70/0.78 thf(f397,plain,(
% 2.70/0.78 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK16 @ (sK3 @ X0)))) = $true) | ($false = ((sK14 @ (sK3 @ X0))))) )),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f388])).
% 2.70/0.78 thf(f455,plain,(
% 2.70/0.78 ( ! [X1 : ($i > $o)] : (($false = ((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (X1 @ Y0))))))) | ((((^[Y0 : $i]: (~ (X1 @ Y0))) @ (sK16 @ (sK3 @ (^[Y0 : $i]: (~ (X1 @ Y0))))))) = $true)) )),
% 2.70/0.78 inference(primitive_instantiation,[],[f397])).
% 2.70/0.78 thf(f479,plain,(
% 2.70/0.78 ( ! [X1 : ($i > $o)] : ((((~ (X1 @ (sK16 @ (sK3 @ (^[Y0 : $i]: (~ (X1 @ Y0)))))))) = $true) | ($false = ((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (X1 @ Y0)))))))) )),
% 2.70/0.78 inference(beta-eta_normalization,[],[f455])).
% 2.70/0.78 thf(f480,plain,(
% 2.70/0.78 ( ! [X1 : ($i > $o)] : (($false = ((X1 @ (sK16 @ (sK3 @ (^[Y0 : $i]: (~ (X1 @ Y0)))))))) | ($false = ((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (X1 @ Y0)))))))) )),
% 2.70/0.78 inference(not_proxy_clausification,[],[f479])).
% 2.70/0.78 thf(f991,plain,(
% 2.70/0.78 ($false = $true) | (((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (sK14 @ Y0)))))) = $false) | (((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (sK14 @ Y0)))))) = $false)),
% 2.70/0.78 inference(superposition,[],[f480,f271])).
% 2.70/0.78 thf(f1003,plain,(
% 2.70/0.78 (((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (sK14 @ Y0)))))) = $false) | ($false = $true)),
% 2.70/0.78 inference(duplicate_literal_removal,[],[f991])).
% 2.70/0.78 thf(f1004,plain,(
% 2.70/0.78 (((sK14 @ (sK3 @ (^[Y0 : $i]: (~ (sK14 @ Y0)))))) = $false)),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f1003])).
% 2.70/0.78 thf(f1025,plain,(
% 2.70/0.78 ($false = $true)),
% 2.70/0.78 inference(backward_demodulation,[],[f326,f1004])).
% 2.70/0.78 thf(f1026,plain,(
% 2.70/0.78 $false),
% 2.70/0.78 inference(trivial_inequality_removal,[],[f1025])).
% 2.70/0.78 % SZS output end Proof for theBenchmark
% 2.70/0.78 % (353060)------------------------------
% 2.70/0.78 % (353060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.78 % (353060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.78 % (353060)CaDiCaL version: 2.1.3
% 2.70/0.78 % (353060)Termination reason: Refutation
% 2.70/0.78 % (353060)Time elapsed: 0.047 s
% 2.70/0.78 % (353060)Peak memory usage: 13 MB
% 2.70/0.78 % (353060)Instructions burned: 88 (million)
% 2.70/0.78 % (352945)Success in time 0.531 s
% 2.70/0.78 % Vampire exiting
%------------------------------------------------------------------------------