%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP133^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:29 AM UTC 2026
% Result : Theorem 5.10s 1.16s
% Output : Refutation 5.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP133^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:03:20 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.50 % (835630)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.49/0.50 % (835637)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3849194665:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.49/0.50 % (835635)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4242475641:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.49/0.50 % (835637)Instruction limit reached!
% 0.49/0.50 % (835637)------------------------------
% 0.49/0.50 % (835637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.50 % (835637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.50 % (835637)CaDiCaL version: 2.1.3
% 0.49/0.50 % (835637)Termination reason: Instruction limit
% 0.49/0.50 % (835637)Termination phase: shuffling
% 0.49/0.50 % (835637)Time elapsed: 0.003 s
% 0.49/0.50 % (835637)Peak memory usage: 10 MB
% 0.49/0.50 % (835637)Instructions burned: 4 (million)
% 0.49/0.50 % (835639)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1771574841:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.49/0.50 % (835636)lrs+10_16_si=on:nwc=1.5:random_seed=4131140620:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.49/0.50 % (835644)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3128685204:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.50 % (835644)Instruction limit reached!
% 0.49/0.50 % (835644)------------------------------
% 0.49/0.50 % (835644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.50 % (835644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.50 % (835644)CaDiCaL version: 2.1.3
% 0.49/0.50 % (835644)Termination reason: Instruction limit
% 0.49/0.50 % (835644)Termination phase: shuffling
% 0.49/0.50 % (835644)Time elapsed: 0.002 s
% 0.49/0.50 % (835644)Peak memory usage: 10 MB
% 0.49/0.50 % (835644)Instructions burned: 3 (million)
% 0.49/0.50 % (835641)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.49/0.50 % (835641)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
% 0.49/0.50 % (835639)Instruction limit reached!
% 0.49/0.50 % (835639)------------------------------
% 0.49/0.50 % (835639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.50 % (835639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.50 % (835639)CaDiCaL version: 2.1.3
% 0.49/0.50 % (835639)Termination reason: Instruction limit
% 0.49/0.50 % (835639)Termination phase: Property scanning
% 0.49/0.50 % (835639)Time elapsed: 0.021 s
% 0.49/0.50 % (835639)Peak memory usage: 10 MB
% 0.49/0.50 % (835639)Instructions burned: 25 (million)
% 0.49/0.50 % (835641)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=3389524122:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.49/0.50 % (835640)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1790750155:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.49/0.50 % (835636)Instruction limit reached!
% 0.49/0.50 % (835636)------------------------------
% 0.49/0.50 % (835636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.50 % (835636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.50 % (835636)CaDiCaL version: 2.1.3
% 0.49/0.50 % (835636)Termination reason: Instruction limit
% 0.49/0.50 % (835636)Termination phase: Property scanning
% 0.49/0.50 % (835636)Time elapsed: 0.020 s
% 0.49/0.50 % (835636)Peak memory usage: 10 MB
% 0.49/0.50 % (835636)Instructions burned: 20 (million)
% 0.49/0.50 % (835635)Instruction limit reached!
% 0.49/0.50 % (835635)------------------------------
% 0.49/0.50 % (835635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.50 % (835635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.50 % (835635)CaDiCaL version: 2.1.3
% 0.49/0.50 % (835635)Termination reason: Instruction limit
% 0.49/0.50 % (835635)Termination phase: Property scanning
% 0.49/0.50 % (835635)Time elapsed: 0.042 s
% 0.49/0.50 % (835635)Peak memory usage: 12 MB
% 0.49/0.50 % (835635)Instructions burned: 89 (million)
% 1.18/0.57 % (835638)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=2456134786: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)
% 1.18/0.57 % (835648)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3141034495:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.18/0.57 % (835648)Instruction limit reached!
% 1.18/0.57 % (835648)------------------------------
% 1.18/0.57 % (835648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.57 % (835648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.57 % (835648)CaDiCaL version: 2.1.3
% 1.18/0.57 % (835648)Termination reason: Instruction limit
% 1.18/0.57 % (835648)Termination phase: shuffling
% 1.18/0.57 % (835648)Time elapsed: 0.002 s
% 1.18/0.57 % (835648)Peak memory usage: 10 MB
% 1.18/0.57 % (835648)Instructions burned: 5 (million)
% 1.18/0.57 % (835649)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.18/0.57 % (835653)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
% 1.18/0.57 % (835653)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.18/0.57 % (835653)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2307603244:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.18/0.57 % (835649)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=672386967:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.18/0.57 % (835652)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1455943619:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.18/0.57 % (835649)Instruction limit reached!
% 1.18/0.57 % (835649)------------------------------
% 1.18/0.57 % (835649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.57 % (835649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.57 % (835649)CaDiCaL version: 2.1.3
% 1.18/0.57 % (835649)Termination reason: Instruction limit
% 1.18/0.57 % (835649)Termination phase: shuffling
% 1.18/0.57 % (835649)Time elapsed: 0.004 s
% 1.18/0.57 % (835649)Peak memory usage: 10 MB
% 1.18/0.57 % (835649)Instructions burned: 8 (million)
% 1.18/0.57 % (835652)Instruction limit reached!
% 1.18/0.57 % (835652)------------------------------
% 1.18/0.57 % (835652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.57 % (835652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.57 % (835652)CaDiCaL version: 2.1.3
% 1.18/0.57 % (835652)Termination reason: Instruction limit
% 1.18/0.57 % (835652)Termination phase: shuffling
% 1.18/0.57 % (835652)Time elapsed: 0.007 s
% 1.18/0.57 % (835652)Peak memory usage: 10 MB
% 1.18/0.57 % (835652)Instructions burned: 13 (million)
% 1.18/0.57 % (835653)Instruction limit reached!
% 1.18/0.57 % (835653)------------------------------
% 1.18/0.57 % (835653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.57 % (835653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.57 % (835653)CaDiCaL version: 2.1.3
% 1.18/0.57 % (835653)Termination reason: Instruction limit
% 1.18/0.57 % (835653)Termination phase: shuffling
% 1.18/0.57 % (835653)Time elapsed: 0.014 s
% 1.18/0.57 % (835653)Peak memory usage: 10 MB
% 1.18/0.57 % (835653)Instructions burned: 28 (million)
% 1.18/0.57 % (835661)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.18/0.57 % (835656)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=4069459532:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.18/0.57 % (835660)lrs+10_1_si=on:cs=on:random_seed=2319852076:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.69/0.63 % (835661)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=2555482999:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.69/0.63 % (835661)Instruction limit reached!
% 1.69/0.63 % (835661)------------------------------
% 1.69/0.63 % (835661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (835661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (835661)CaDiCaL version: 2.1.3
% 1.69/0.63 % (835661)Termination reason: Instruction limit
% 1.69/0.63 % (835661)Termination phase: shuffling
% 1.69/0.63 % (835661)Time elapsed: 0.002 s
% 1.69/0.63 % (835661)Peak memory usage: 10 MB
% 1.69/0.63 % (835661)Instructions burned: 3 (million)
% 1.69/0.63 % (835660)Instruction limit reached!
% 1.69/0.63 % (835660)------------------------------
% 1.69/0.63 % (835660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (835660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (835660)CaDiCaL version: 2.1.3
% 1.69/0.63 % (835660)Termination reason: Instruction limit
% 1.69/0.63 % (835660)Termination phase: shuffling
% 1.69/0.63 % (835660)Time elapsed: 0.005 s
% 1.69/0.63 % (835660)Peak memory usage: 10 MB
% 1.69/0.63 % (835660)Instructions burned: 9 (million)
% 1.69/0.63 % (835640)Instruction limit reached!
% 1.69/0.63 % (835640)------------------------------
% 1.69/0.63 % (835640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (835640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (835640)CaDiCaL version: 2.1.3
% 1.69/0.63 % (835640)Termination reason: Instruction limit
% 1.69/0.63 % (835640)Termination phase: Property scanning
% 1.69/0.63 % (835640)Time elapsed: 0.065 s
% 1.69/0.63 % (835640)Peak memory usage: 12 MB
% 1.69/0.63 % (835640)Instructions burned: 76 (million)
% 1.69/0.63 % (835666)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=566458328:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.69/0.63 % (835667)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=151256113:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.69/0.63 % (835662)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1047043777:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.69/0.63 % (835667)Instruction limit reached!
% 1.69/0.63 % (835667)------------------------------
% 1.69/0.63 % (835667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (835667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (835667)CaDiCaL version: 2.1.3
% 1.69/0.63 % (835667)Termination reason: Instruction limit
% 1.69/0.63 % (835667)Termination phase: Property scanning
% 1.69/0.63 % (835667)Time elapsed: 0.012 s
% 1.69/0.63 % (835667)Peak memory usage: 10 MB
% 1.69/0.63 % (835667)Instructions burned: 25 (million)
% 1.69/0.63 % (835641)Instruction limit reached!
% 1.69/0.63 % (835641)------------------------------
% 1.69/0.63 % (835641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (835641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (835641)CaDiCaL version: 2.1.3
% 1.69/0.63 % (835641)Termination reason: Instruction limit
% 1.69/0.63 % (835641)Termination phase: Saturation
% 1.69/0.63 % (835641)Time elapsed: 0.100 s
% 1.69/0.63 % (835641)Peak memory usage: 14 MB
% 1.69/0.63 % (835641)Instructions burned: 158 (million)
% 1.69/0.63 % (835668)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3963709560:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.69/0.63 % (835672)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3406632894:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.69/0.63 % (835668)Instruction limit reached!
% 1.69/0.63 % (835668)------------------------------
% 1.69/0.63 % (835668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (835668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (835668)CaDiCaL version: 2.1.3
% 1.69/0.63 % (835668)Termination reason: Instruction limit
% 1.69/0.63 % (835668)Termination phase: shuffling
% 1.69/0.63 % (835668)Time elapsed: 0.012 s
% 2.15/0.71 % (835668)Peak memory usage: 10 MB
% 2.15/0.71 % (835668)Instructions burned: 14 (million)
% 2.15/0.71 % (835662)Instruction limit reached!
% 2.15/0.71 % (835662)------------------------------
% 2.15/0.71 % (835662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.71 % (835662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.71 % (835662)CaDiCaL version: 2.1.3
% 2.15/0.71 % (835662)Termination reason: Instruction limit
% 2.15/0.71 % (835662)Termination phase: Clausification
% 2.15/0.71 % (835662)Time elapsed: 0.036 s
% 2.15/0.71 % (835662)Peak memory usage: 11 MB
% 2.15/0.71 % (835662)Instructions burned: 38 (million)
% 2.15/0.71 % (835656)Instruction limit reached!
% 2.15/0.71 % (835656)------------------------------
% 2.15/0.71 % (835656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.71 % (835656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.71 % (835656)CaDiCaL version: 2.1.3
% 2.15/0.71 % (835656)Termination reason: Instruction limit
% 2.15/0.71 % (835656)Termination phase: Property scanning
% 2.15/0.71 % (835656)Time elapsed: 0.071 s
% 2.15/0.71 % (835656)Peak memory usage: 11 MB
% 2.15/0.71 % (835656)Instructions burned: 87 (million)
% 2.15/0.71 % (835673)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3329682498:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.15/0.71 % (835678)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2832229514:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.15/0.71 % (835673)Instruction limit reached!
% 2.15/0.71 % (835673)------------------------------
% 2.15/0.71 % (835673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.71 % (835673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.71 % (835673)CaDiCaL version: 2.1.3
% 2.15/0.71 % (835673)Termination reason: Instruction limit
% 2.15/0.71 % (835673)Termination phase: shuffling
% 2.15/0.71 % (835673)Time elapsed: 0.026 s
% 2.15/0.71 % (835673)Peak memory usage: 10 MB
% 2.15/0.71 % (835673)Instructions burned: 15 (million)
% 2.15/0.71 % (835678)Instruction limit reached!
% 2.15/0.71 % (835678)------------------------------
% 2.15/0.71 % (835678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.71 % (835678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.71 % (835678)CaDiCaL version: 2.1.3
% 2.15/0.71 % (835678)Termination reason: Instruction limit
% 2.15/0.71 % (835678)Termination phase: Property scanning
% 2.15/0.71 % (835678)Time elapsed: 0.012 s
% 2.15/0.71 % (835678)Peak memory usage: 10 MB
% 2.15/0.71 % (835678)Instructions burned: 23 (million)
% 2.15/0.71 % (835677)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2131305706:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.15/0.71 % (835682)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.15/0.71 % (835682)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.15/0.71 % (835676)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=504364711:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.15/0.71 % (835682)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=745144292:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.15/0.71 % (835676)Instruction limit reached!
% 2.15/0.71 % (835676)------------------------------
% 2.15/0.71 % (835676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.71 % (835676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.71 % (835676)CaDiCaL version: 2.1.3
% 2.15/0.71 % (835676)Termination reason: Instruction limit
% 2.15/0.71 % (835676)Termination phase: shuffling
% 2.15/0.71 % (835676)Time elapsed: 0.005 s
% 2.15/0.71 % (835676)Peak memory usage: 10 MB
% 2.15/0.71 % (835676)Instructions burned: 3 (million)
% 2.15/0.71 % (835682)Instruction limit reached!
% 2.15/0.71 % (835682)------------------------------
% 2.15/0.71 % (835682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.79 % (835682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.79 % (835682)CaDiCaL version: 2.1.3
% 2.15/0.79 % (835682)Termination reason: Instruction limit
% 2.15/0.79 % (835682)Termination phase: shuffling
% 2.15/0.79 % (835682)Time elapsed: 0.007 s
% 2.15/0.79 % (835682)Peak memory usage: 10 MB
% 2.15/0.79 % (835682)Instructions burned: 15 (million)
% 2.15/0.79 % (835681)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2650559805:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.15/0.79 % (835677)Instruction limit reached!
% 2.15/0.79 % (835677)------------------------------
% 2.15/0.79 % (835677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.79 % (835677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.79 % (835677)CaDiCaL version: 2.1.3
% 2.15/0.79 % (835677)Termination reason: Instruction limit
% 2.15/0.79 % (835677)Termination phase: shuffling
% 2.15/0.79 % (835677)Time elapsed: 0.019 s
% 2.15/0.79 % (835677)Peak memory usage: 10 MB
% 2.15/0.79 % (835677)Instructions burned: 27 (million)
% 2.15/0.79 % (835686)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.15/0.79 % (835686)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=1838536006:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.15/0.79 % (835686)Instruction limit reached!
% 2.15/0.79 % (835686)------------------------------
% 2.15/0.79 % (835686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.79 % (835686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.79 % (835686)CaDiCaL version: 2.1.3
% 2.15/0.79 % (835686)Termination reason: Instruction limit
% 2.15/0.79 % (835686)Termination phase: shuffling
% 2.15/0.79 % (835686)Time elapsed: 0.004 s
% 2.15/0.79 % (835686)Peak memory usage: 10 MB
% 2.15/0.79 % (835686)Instructions burned: 8 (million)
% 2.15/0.79 % (835687)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=4282815380:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.15/0.79 % (835689)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=453605981:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.15/0.79 % (835689)Instruction limit reached!
% 2.15/0.79 % (835689)------------------------------
% 2.15/0.79 % (835689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.79 % (835689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.79 % (835689)CaDiCaL version: 2.1.3
% 2.15/0.79 % (835689)Termination reason: Instruction limit
% 2.15/0.79 % (835689)Termination phase: shuffling
% 2.15/0.79 % (835689)Time elapsed: 0.004 s
% 2.15/0.79 % (835689)Peak memory usage: 10 MB
% 2.15/0.79 % (835689)Instructions burned: 7 (million)
% 2.15/0.79 % (835687)Instruction limit reached!
% 2.15/0.79 % (835687)------------------------------
% 2.15/0.79 % (835687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.79 % (835687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.79 % (835687)CaDiCaL version: 2.1.3
% 2.15/0.79 % (835687)Termination reason: Instruction limit
% 2.15/0.79 % (835687)Termination phase: Property scanning
% 2.15/0.79 % (835687)Time elapsed: 0.015 s
% 2.15/0.79 % (835687)Peak memory usage: 10 MB
% 2.15/0.79 % (835687)Instructions burned: 32 (million)
% 2.15/0.79 % (835692)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3696366978:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.15/0.79 % (835694)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1129585653:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.15/0.79 % (835692)Instruction limit reached!
% 2.15/0.79 % (835692)------------------------------
% 2.15/0.79 % (835692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.79 % (835692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.79 % (835692)CaDiCaL version: 2.1.3
% 2.15/0.79 % (835692)Termination reason: Instruction limit
% 2.15/0.79 % (835692)Termination phase: shuffling
% 2.75/0.89 % (835692)Time elapsed: 0.011 s
% 2.75/0.89 % (835692)Peak memory usage: 10 MB
% 2.75/0.89 % (835692)Instructions burned: 23 (million)
% 2.75/0.89 % (835695)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=654747578:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.75/0.89 % (835681)Instruction limit reached!
% 2.75/0.89 % (835681)------------------------------
% 2.75/0.89 % (835681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.89 % (835681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.89 % (835681)CaDiCaL version: 2.1.3
% 2.75/0.89 % (835681)Termination reason: Instruction limit
% 2.75/0.89 % (835681)Termination phase: Property scanning
% 2.75/0.89 % (835681)Time elapsed: 0.054 s
% 2.75/0.89 % (835681)Peak memory usage: 11 MB
% 2.75/0.89 % (835681)Instructions burned: 64 (million)
% 2.75/0.89 % (835694)Instruction limit reached!
% 2.75/0.89 % (835694)------------------------------
% 2.75/0.89 % (835694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.89 % (835694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.89 % (835694)CaDiCaL version: 2.1.3
% 2.75/0.89 % (835694)Termination reason: Instruction limit
% 2.75/0.89 % (835694)Termination phase: Property scanning
% 2.75/0.89 % (835694)Time elapsed: 0.010 s
% 2.75/0.89 % (835694)Peak memory usage: 10 MB
% 2.75/0.89 % (835694)Instructions burned: 21 (million)
% 2.75/0.89 % (835698)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3763746372:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.75/0.89 % (835700)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4154211485:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.75/0.89 % (835701)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3732802701:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.75/0.89 % (835672)Instruction limit reached!
% 2.75/0.89 % (835672)------------------------------
% 2.75/0.89 % (835672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.89 % (835672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.89 % (835672)CaDiCaL version: 2.1.3
% 2.75/0.89 % (835672)Termination reason: Instruction limit
% 2.75/0.89 % (835672)Termination phase: Saturation
% 2.75/0.89 % (835672)Time elapsed: 0.163 s
% 2.75/0.89 % (835672)Peak memory usage: 15 MB
% 2.75/0.89 % (835672)Instructions burned: 329 (million)
% 2.75/0.89 % (835701)Instruction limit reached!
% 2.75/0.89 % (835701)------------------------------
% 2.75/0.89 % (835701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.89 % (835701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.89 % (835701)CaDiCaL version: 2.1.3
% 2.75/0.89 % (835701)Termination reason: Instruction limit
% 2.75/0.89 % (835701)Termination phase: Preprocessing 3
% 2.75/0.89 % (835701)Time elapsed: 0.020 s
% 2.75/0.89 % (835701)Peak memory usage: 11 MB
% 2.75/0.89 % (835701)Instructions burned: 42 (million)
% 2.75/0.89 % (835706)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2616671744:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.75/0.89 % (835666)Instruction limit reached!
% 2.75/0.89 % (835666)------------------------------
% 2.75/0.89 % (835666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.89 % (835666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.89 % (835666)CaDiCaL version: 2.1.3
% 2.75/0.89 % (835666)Termination reason: Instruction limit
% 2.75/0.89 % (835666)Termination phase: Saturation
% 2.75/0.89 % (835666)Time elapsed: 0.231 s
% 2.75/0.89 % (835666)Peak memory usage: 14 MB
% 2.75/0.89 % (835666)Instructions burned: 249 (million)
% 2.75/0.89 % (835705)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.75/0.89 % (835705)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=25435274:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.75/0.89 % (835705)Instruction limit reached!
% 2.75/0.89 % (835705)------------------------------
% 2.75/0.89 % (835705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.89 % (835705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835705)CaDiCaL version: 2.1.3
% 3.06/1.00 % (835705)Termination reason: Instruction limit
% 3.06/1.00 % (835705)Termination phase: shuffling
% 3.06/1.00 % (835705)Time elapsed: 0.004 s
% 3.06/1.00 % (835705)Peak memory usage: 10 MB
% 3.06/1.00 % (835705)Instructions burned: 8 (million)
% 3.06/1.00 % (835708)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=3966134029:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.06/1.00 % (835698)Instruction limit reached!
% 3.06/1.00 % (835698)------------------------------
% 3.06/1.00 % (835698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/1.00 % (835698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835698)CaDiCaL version: 2.1.3
% 3.06/1.00 % (835698)Termination reason: Instruction limit
% 3.06/1.00 % (835698)Termination phase: Saturation
% 3.06/1.00 % (835698)Time elapsed: 0.089 s
% 3.06/1.00 % (835698)Peak memory usage: 14 MB
% 3.06/1.00 % (835698)Instructions burned: 144 (million)
% 3.06/1.00 % (835710)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.06/1.00 % (835710)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1181165407:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 3.06/1.00 % (835710)Instruction limit reached!
% 3.06/1.00 % (835710)------------------------------
% 3.06/1.00 % (835710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/1.00 % (835710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835710)CaDiCaL version: 2.1.3
% 3.06/1.00 % (835710)Termination reason: Instruction limit
% 3.06/1.00 % (835710)Termination phase: shuffling
% 3.06/1.00 % (835710)Time elapsed: 0.003 s
% 3.06/1.00 % (835710)Peak memory usage: 10 MB
% 3.06/1.00 % (835710)Instructions burned: 6 (million)
% 3.06/1.00 % (835714)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=903932184:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.06/1.00 % (835712)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=423672606:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.06/1.00 % (835714)Instruction limit reached!
% 3.06/1.00 % (835714)------------------------------
% 3.06/1.00 % (835714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/1.00 % (835714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835714)CaDiCaL version: 2.1.3
% 3.06/1.00 % (835714)Termination reason: Instruction limit
% 3.06/1.00 % (835714)Termination phase: shuffling
% 3.06/1.00 % (835714)Time elapsed: 0.009 s
% 3.06/1.00 % (835714)Peak memory usage: 10 MB
% 3.06/1.00 % (835714)Instructions burned: 19 (million)
% 3.06/1.00 % (835700)Instruction limit reached!
% 3.06/1.00 % (835700)------------------------------
% 3.06/1.00 % (835700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/1.00 % (835700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835700)CaDiCaL version: 2.1.3
% 3.06/1.00 % (835700)Termination reason: Instruction limit
% 3.06/1.00 % (835700)Termination phase: Saturation
% 3.06/1.00 % (835700)Time elapsed: 0.130 s
% 3.06/1.00 % (835700)Peak memory usage: 14 MB
% 3.06/1.00 % (835700)Instructions burned: 193 (million)
% 3.06/1.00 % (835712)Instruction limit reached!
% 3.06/1.00 % (835712)------------------------------
% 3.06/1.00 % (835712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/1.00 % (835712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835712)CaDiCaL version: 2.1.3
% 3.06/1.00 % (835712)Termination reason: Instruction limit
% 3.06/1.00 % (835712)Termination phase: Property scanning
% 3.06/1.00 % (835712)Time elapsed: 0.020 s
% 3.06/1.00 % (835712)Peak memory usage: 10 MB
% 3.06/1.00 % (835712)Instructions burned: 23 (million)
% 3.06/1.00 % (835706)Instruction limit reached!
% 3.06/1.00 % (835706)------------------------------
% 3.06/1.00 % (835706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/1.00 % (835706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.00 % (835706)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835706)Termination reason: Instruction limit
% 5.10/1.15 % (835706)Termination phase: Saturation
% 5.10/1.15 % (835706)Time elapsed: 0.099 s
% 5.10/1.15 % (835706)Peak memory usage: 14 MB
% 5.10/1.15 % (835706)Instructions burned: 182 (million)
% 5.10/1.15 % (835717)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=175396125:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.10/1.15 % (835708)Instruction limit reached!
% 5.10/1.15 % (835708)------------------------------
% 5.10/1.15 % (835708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835708)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835708)Termination reason: Instruction limit
% 5.10/1.15 % (835708)Termination phase: Saturation
% 5.10/1.15 % (835708)Time elapsed: 0.088 s
% 5.10/1.15 % (835708)Peak memory usage: 14 MB
% 5.10/1.15 % (835708)Instructions burned: 170 (million)
% 5.10/1.15 % (835718)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=1566510065:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.10/1.15 % (835720)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=3266820365:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 5.10/1.15 % (835721)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=433379200:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 5.10/1.15 % (835722)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1744739417:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.10/1.15 % (835720)Instruction limit reached!
% 5.10/1.15 % (835720)------------------------------
% 5.10/1.15 % (835720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835720)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835720)Termination reason: Instruction limit
% 5.10/1.15 % (835720)Termination phase: Preprocessing 3
% 5.10/1.15 % (835720)Time elapsed: 0.022 s
% 5.10/1.15 % (835720)Peak memory usage: 11 MB
% 5.10/1.15 % (835720)Instructions burned: 46 (million)
% 5.10/1.15 % (835722)Instruction limit reached!
% 5.10/1.15 % (835722)------------------------------
% 5.10/1.15 % (835722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835722)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835722)Termination reason: Instruction limit
% 5.10/1.15 % (835722)Termination phase: Property scanning
% 5.10/1.15 % (835722)Time elapsed: 0.010 s
% 5.10/1.15 % (835722)Peak memory usage: 10 MB
% 5.10/1.15 % (835722)Instructions burned: 21 (million)
% 5.10/1.15 % (835727)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.10/1.15 % (835727)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1803174563:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.10/1.15 % (835728)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2729823424:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 5.10/1.15 % (835728)Instruction limit reached!
% 5.10/1.15 % (835728)------------------------------
% 5.10/1.15 % (835728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835728)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835728)Termination reason: Instruction limit
% 5.10/1.15 % (835728)Termination phase: shuffling
% 5.10/1.15 % (835728)Time elapsed: 0.006 s
% 5.10/1.15 % (835728)Peak memory usage: 10 MB
% 5.10/1.15 % (835728)Instructions burned: 13 (million)
% 5.10/1.15 % (835731)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=4127534428:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.10/1.15 % (835731)Instruction limit reached!
% 5.10/1.15 % (835731)------------------------------
% 5.10/1.15 % (835731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835731)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835731)Termination reason: Instruction limit
% 5.10/1.15 % (835731)Termination phase: Preprocessing 1
% 5.10/1.15 % (835731)Time elapsed: 0.030 s
% 5.10/1.15 % (835731)Peak memory usage: 11 MB
% 5.10/1.15 % (835731)Instructions burned: 68 (million)
% 5.10/1.15 % (835638)Instruction limit reached!
% 5.10/1.15 % (835638)------------------------------
% 5.10/1.15 % (835638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835638)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835638)Termination reason: Instruction limit
% 5.10/1.15 % (835638)Termination phase: Saturation
% 5.10/1.15 % (835638)Time elapsed: 0.551 s
% 5.10/1.15 % (835638)Peak memory usage: 15 MB
% 5.10/1.15 % (835638)Instructions burned: 635 (million)
% 5.10/1.15 % (835733)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1320682494:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 5.10/1.15 % (835727)Instruction limit reached!
% 5.10/1.15 % (835727)------------------------------
% 5.10/1.15 % (835727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835727)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835727)Termination reason: Instruction limit
% 5.10/1.15 % (835727)Termination phase: Saturation
% 5.10/1.15 % (835727)Time elapsed: 0.102 s
% 5.10/1.15 % (835727)Peak memory usage: 14 MB
% 5.10/1.15 % (835727)Instructions burned: 201 (million)
% 5.10/1.15 % (835735)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3340888853:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.10/1.15 % (835717)Instruction limit reached!
% 5.10/1.15 % (835717)------------------------------
% 5.10/1.15 % (835717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835717)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835717)Termination reason: Instruction limit
% 5.10/1.15 % (835717)Termination phase: Saturation
% 5.10/1.15 % (835717)Time elapsed: 0.169 s
% 5.10/1.15 % (835717)Peak memory usage: 16 MB
% 5.10/1.15 % (835717)Instructions burned: 318 (million)
% 5.10/1.15 % (835735)Instruction limit reached!
% 5.10/1.15 % (835735)------------------------------
% 5.10/1.15 % (835735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (835735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (835735)CaDiCaL version: 2.1.3
% 5.10/1.15 % (835735)Termination reason: Instruction limit
% 5.10/1.15 % (835735)Termination phase: Property scanning
% 5.10/1.15 % (835735)Time elapsed: 0.015 s
% 5.10/1.15 % (835735)Peak memory usage: 10 MB
% 5.10/1.15 % (835735)Instructions burned: 32 (million)
% 5.10/1.15 % (835737)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2905533957:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.10/1.16 % (835739)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=1401365733:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.10/1.16 % (835733)Instruction limit reached!
% 5.10/1.16 % (835733)------------------------------
% 5.10/1.16 % (835733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835733)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835733)Termination reason: Instruction limit
% 5.10/1.16 % (835733)Termination phase: Property scanning
% 5.10/1.16 % (835733)Time elapsed: 0.045 s
% 5.10/1.16 % (835733)Peak memory usage: 11 MB
% 5.10/1.16 % (835733)Instructions burned: 51 (million)
% 5.10/1.16 % (835740)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2484129993:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.10/1.16 % (835739)Instruction limit reached!
% 5.10/1.16 % (835739)------------------------------
% 5.10/1.16 % (835739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835739)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835739)Termination reason: Instruction limit
% 5.10/1.16 % (835739)Termination phase: Property scanning
% 5.10/1.16 % (835739)Time elapsed: 0.020 s
% 5.10/1.16 % (835739)Peak memory usage: 10 MB
% 5.10/1.16 % (835739)Instructions burned: 34 (million)
% 5.10/1.16 % (835743)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.10/1.16 % (835743)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2778370096:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 5.10/1.16 % (835695)Instruction limit reached!
% 5.10/1.16 % (835695)------------------------------
% 5.10/1.16 % (835695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835695)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835695)Termination reason: Instruction limit
% 5.10/1.16 % (835695)Termination phase: Saturation
% 5.10/1.16 % (835695)Time elapsed: 0.415 s
% 5.10/1.16 % (835695)Peak memory usage: 14 MB
% 5.10/1.16 % (835695)Instructions burned: 1241 (million)
% 5.10/1.16 % (835745)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1739199632:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 5.10/1.16 % (835740)Instruction limit reached!
% 5.10/1.16 % (835740)------------------------------
% 5.10/1.16 % (835740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835740)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835740)Termination reason: Instruction limit
% 5.10/1.16 % (835740)Termination phase: Property scanning
% 5.10/1.16 % (835740)Time elapsed: 0.058 s
% 5.10/1.16 % (835740)Peak memory usage: 12 MB
% 5.10/1.16 % (835740)Instructions burned: 68 (million)
% 5.10/1.16 % (835737)Instruction limit reached!
% 5.10/1.16 % (835737)------------------------------
% 5.10/1.16 % (835737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835737)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835737)Termination reason: Instruction limit
% 5.10/1.16 % (835737)Termination phase: Saturation
% 5.10/1.16 % (835737)Time elapsed: 0.081 s
% 5.10/1.16 % (835737)Peak memory usage: 14 MB
% 5.10/1.16 % (835737)Instructions burned: 137 (million)
% 5.10/1.16 % (835748)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=208855494:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 5.10/1.16 % (835749)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2549375065:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 5.10/1.16 % (835750)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=249507567:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 5.10/1.16 % (835748)Instruction limit reached!
% 5.10/1.16 % (835748)------------------------------
% 5.10/1.16 % (835748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835748)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835748)Termination reason: Instruction limit
% 5.10/1.16 % (835748)Termination phase: Saturation
% 5.10/1.16 % (835748)Time elapsed: 0.046 s
% 5.10/1.16 % (835748)Peak memory usage: 13 MB
% 5.10/1.16 % (835748)Instructions burned: 98 (million)
% 5.10/1.16 % (835754)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2343393495:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 5.10/1.16 % (835721) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-835630-835721"...
% 5.10/1.16 % (835721)...printing done.
% 5.10/1.16 % (835721)Refutation found. Thanks to Tanya!
% 5.10/1.16 % SZS status Theorem for theBenchmark
% 5.10/1.16 % SZS output start Proof for theBenchmark
% 5.10/1.16 thf(type_def_5, type, set: $tType > $tType).
% 5.10/1.16 thf(type_def_6, type, nat: $tType).
% 5.10/1.16 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 5.10/1.16 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_1, type, one: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_4, type, neg_numeral: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_6, type, mult_zero: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_7, type, no_bot: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_8, type, no_top: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_9, type, semiring_0: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_10, type, monoid_mult: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_11, type, linorder: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_12, type, preorder: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_13, type, ordered_ring: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_14, type, zero_neq_one: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_15, type, wellorder: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_16, type, semigroup_mult: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_17, type, dense_order: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_18, type, linordered_idom: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_19, type, linordered_ring: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_20, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_21, type, ordered_semiring: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_22, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_23, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_24, type, dense_linorder: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_25, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_26, type, ordere1490568538miring: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_27, type, linord581940658strict: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_28, type, ring_11004092258visors: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_29, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_30, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_31, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_32, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_33, type, semiri1923998003cancel: !>[X0: $tType]:($o)).
% 5.10/1.16 thf(func_def_34, type, one_one: !>[X0: $tType]:(X0)).
% 5.10/1.16 thf(func_def_35, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 5.10/1.16 thf(func_def_36, type, zero_zero: !>[X0: $tType]:(X0)).
% 5.10/1.16 thf(func_def_37, type, groups1340683514dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 5.10/1.16 thf(func_def_38, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 5.10/1.16 thf(func_def_39, type, number2016821345itions: ((nat > nat) > nat > $o)).
% 5.10/1.16 thf(func_def_40, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.10/1.16 thf(func_def_41, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.10/1.16 thf(func_def_42, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 5.10/1.16 thf(func_def_43, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 5.10/1.16 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 5.10/1.16 thf(func_def_45, type, p: (nat > nat)).
% 5.10/1.16 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 5.10/1.16 thf(func_def_50, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 5.10/1.16 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 5.10/1.16 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 5.10/1.16 thf(func_def_53, type, vAND: ($o > $o > $o)).
% 5.10/1.16 thf(func_def_54, type, vNOT: ($o > $o)).
% 5.10/1.16 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.10/1.16 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.10/1.16 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 5.10/1.16 thf(func_def_58, type, vOR: ($o > $o > $o)).
% 5.10/1.16 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.10/1.16 thf(func_def_60, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 5.10/1.16 thf(func_def_61, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 5.10/1.16 thf(func_def_62, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 5.10/1.16 thf(func_def_63, type, sP3: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 5.10/1.16 thf(func_def_64, type, sP4: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X2 > X0) > (X1 > X2) > (X1 > X0) > $o))).
% 5.10/1.16 thf(func_def_65, type, sK5: ((nat > $o) > nat)).
% 5.10/1.16 thf(func_def_66, type, sK6: ((nat > $o) > nat > nat)).
% 5.10/1.16 thf(func_def_67, type, sK7: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_68, type, sK8: !>[X0: $tType]:(((X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_69, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X2 > X0) > (X1 > X2) > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_70, type, sK10: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_71, type, sK11: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_72, type, sK12: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > set @ X1 > X1))).
% 5.10/1.16 thf(func_def_73, type, sK13: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > X0) > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_74, type, sK14: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 5.10/1.16 thf(func_def_75, type, sK15: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 5.10/1.16 thf(func_def_76, type, sK16: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_77, type, sK17: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_78, type, sK18: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_79, type, sK19: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_80, type, sK20: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_81, type, sK21: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_82, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_83, type, sK23: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_84, type, sK24: ((nat > $o) > nat)).
% 5.10/1.16 thf(func_def_85, type, sK25: ((nat > $o) > nat > nat)).
% 5.10/1.16 thf(func_def_86, type, sK26: !>[X0: $tType]:((X0 > X0))).
% 5.10/1.16 thf(func_def_87, type, sK27: !>[X0: $tType]:((X0 > X0))).
% 5.10/1.16 thf(func_def_88, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_89, type, sK29: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_90, type, sK30: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_91, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_92, type, sK32: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > (X0 > X1) > X1))).
% 5.10/1.16 thf(func_def_93, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > set @ X0 > (X2 > X0) > (X2 > X1) > (X0 > X2) > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_94, type, sK34: ((nat > $o) > nat)).
% 5.10/1.16 thf(func_def_95, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_96, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_97, type, sK37: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_98, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_99, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X0 > set @ X1 > X0))).
% 5.10/1.16 thf(func_def_100, type, sK40: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > set @ X0 > set @ X1 > X1))).
% 5.10/1.16 thf(func_def_101, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0) > (X2 > X1) > set @ X1 > (X1 > X0) > set @ X2 > X2))).
% 5.10/1.16 thf(func_def_102, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_103, type, sK43: !>[X0: $tType]:((X0 > X0 > X0))).
% 5.10/1.16 thf(func_def_104, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_105, type, sK45: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_106, type, sK46: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_107, type, sK47: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_108, type, sK48: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_109, type, sK49: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_110, type, sK50: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_111, type, sK51: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_112, type, sK52: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_113, type, sK53: nat).
% 5.10/1.16 thf(func_def_114, type, sK54: ((nat > nat) > nat > nat)).
% 5.10/1.16 thf(func_def_115, type, sK55: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 5.10/1.16 thf(func_def_116, type, sK56: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 5.10/1.16 thf(func_def_117, type, sK57: ((nat > nat) > nat)).
% 5.10/1.16 thf(func_def_118, type, sK58: ((nat > nat) > nat)).
% 5.10/1.16 thf(func_def_119, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 5.10/1.16 thf(func_def_120, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_121, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_122, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_123, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_124, type, sK64: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_125, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_126, type, sK66: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_127, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_128, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_129, type, sK69: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_130, type, sK70: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 5.10/1.16 thf(func_def_131, type, sK71: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 5.10/1.16 thf(func_def_132, type, sK72: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 5.10/1.16 thf(func_def_133, type, sK73: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 5.10/1.16 thf(func_def_135, type, sK75: nat).
% 5.10/1.16 thf(f24,axiom,(
% 5.10/1.16 ! [X1 : nat,X0 : nat] : ((X0 = zero_zero @ nat) | (X1 = zero_zero @ nat) = (((times_times @ nat @ X0 @ X1)) = zero_zero @ nat))),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_mult__is__0)).
% 5.10/1.16 thf(f35,axiom,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (comm_monoid_add @ X0 => ! [X4 : (X1 > X0),X2 : set @ X1,X5 : (X1 > X0),X3 : set @ X1] : ((X2 = X3) => (! [X6 : X1] : ((member @ X1 @ X6 @ X3) => (((X4 @ X6)) = ((X5 @ X6)))) => (((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X2)) = ((groups1340683514dd_sum @ X1 @ X0 @ X5 @ X3))))))),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_sum_Ocong)).
% 5.10/1.16 thf(f44,axiom,(
% 5.10/1.16 ! [X1 : $tType,X0 : $tType] : (comm_monoid_add @ X1 => ! [X2 : set @ X0,X3 : (X0 > X1)] : (! [X4 : X0] : ((member @ X0 @ X4 @ X2) => (((X3 @ X4)) = zero_zero @ X1)) => (((groups1340683514dd_sum @ X0 @ X1 @ X3 @ X2)) = zero_zero @ X1)))),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_sum_Oneutral)).
% 5.10/1.16 thf(f50,axiom,(
% 5.10/1.16 ! [X0 : nat] : (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = (X0 = zero_zero @ nat))),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_bot__nat__0_Oextremum__unique)).
% 5.10/1.16 thf(f85,axiom,(
% 5.10/1.16 ! [X0 : $tType] : (linord1659791738miring @ X0 => ~(ord_less_eq @ X0 @ one_one @ X0 @ zero_zero @ X0))),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_not__one__le__zero)).
% 5.10/1.16 thf(f259,axiom,(
% 5.10/1.16 linord1659791738miring @ nat),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Olinordered__nonzero__semiring)).
% 5.10/1.16 thf(f267,axiom,(
% 5.10/1.16 comm_monoid_add @ nat),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Ocomm__monoid__add)).
% 5.10/1.16 thf(f288,conjecture,(
% 5.10/1.16 (! [X0 : nat] : ((((p @ X0)) != zero_zero @ nat) => ((ord_less_eq @ nat @ one_one @ nat @ X0) & (ord_less_eq @ nat @ X0 @ zero_zero @ nat))) & (((groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ zero_zero @ nat))) = zero_zero @ nat) = ((^[X0 : nat] : (zero_zero @ nat)) = p))),
% 5.10/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 5.10/1.16 thf(f289,negated_conjecture,(
% 5.10/1.16 ~ (! [X0 : nat] : ((((p @ X0)) != zero_zero @ nat) => ((ord_less_eq @ nat @ one_one @ nat @ X0) & (ord_less_eq @ nat @ X0 @ zero_zero @ nat))) & (((groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ zero_zero @ nat))) = zero_zero @ nat) = ((^[X0 : nat] : (zero_zero @ nat)) = p))),
% 5.10/1.16 inference(negated_conjecture,[status(cth)],[f288])).
% 5.10/1.16 thf(f476,plain,(
% 5.10/1.16 ! [X0 : nat,X1 : nat] : ((zero_zero @ nat = X1) | (zero_zero @ nat = X0) = (zero_zero @ nat = ((times_times @ nat @ X1 @ X0))))),
% 5.10/1.16 inference(rectify,[],[f24])).
% 5.10/1.16 thf(f477,plain,(
% 5.10/1.16 ! [X0 : nat,X1 : nat] : (((zero_zero @ nat = X0) | (zero_zero @ nat = X1)) <=> (zero_zero @ nat = ((times_times @ nat @ X1 @ X0))))),
% 5.10/1.16 inference(fool_elimination,[],[f476])).
% 5.10/1.16 thf(f561,plain,(
% 5.10/1.16 ! [X0 : $tType] : (linord1659791738miring @ X0 => ~(ord_less_eq @ X0 @ one_one @ X0 @ zero_zero @ X0))),
% 5.10/1.16 inference(rectify,[],[f85])).
% 5.10/1.16 thf(f562,plain,(
% 5.10/1.16 ! [X0 : $tType] : ((linord1659791738miring @ X0 = $true) => ~ (((ord_less_eq @ X0 @ one_one @ X0 @ zero_zero @ X0)) = $true))),
% 5.10/1.16 inference(fool_elimination,[],[f561])).
% 5.10/1.16 thf(f605,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (comm_monoid_add @ X0 => ! [X2 : set @ X1,X3 : (X1 > X0)] : (! [X4 : X1] : ((member @ X1 @ X4 @ X2) => (zero_zero @ X0 = ((X3 @ X4)))) => (zero_zero @ X0 = ((groups1340683514dd_sum @ X1 @ X0 @ X3 @ X2)))))),
% 5.10/1.16 inference(rectify,[],[f44])).
% 5.10/1.16 thf(f606,plain,(
% 5.10/1.16 ! [X1 : $tType,X0 : $tType] : ((comm_monoid_add @ X0 = $true) => ! [X3 : (X1 > X0),X2 : set @ X1] : (! [X4 : X1] : ((((member @ X1 @ X4 @ X2)) = $true) => (zero_zero @ X0 = ((X3 @ X4)))) => (zero_zero @ X0 = ((groups1340683514dd_sum @ X1 @ X0 @ X3 @ X2)))))),
% 5.10/1.16 inference(fool_elimination,[],[f605])).
% 5.10/1.16 thf(f649,plain,(
% 5.10/1.16 linord1659791738miring @ nat),
% 5.10/1.16 inference(rectify,[],[f259])).
% 5.10/1.16 thf(f650,plain,(
% 5.10/1.16 (linord1659791738miring @ nat = $true)),
% 5.10/1.16 inference(fool_elimination,[],[f649])).
% 5.10/1.16 thf(f655,plain,(
% 5.10/1.16 comm_monoid_add @ nat),
% 5.10/1.16 inference(rectify,[],[f267])).
% 5.10/1.16 thf(f656,plain,(
% 5.10/1.16 (comm_monoid_add @ nat = $true)),
% 5.10/1.16 inference(fool_elimination,[],[f655])).
% 5.10/1.16 thf(f710,plain,(
% 5.10/1.16 ! [X0 : nat] : ((zero_zero @ nat = X0) <=> (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true))),
% 5.10/1.16 inference(fool_elimination,[],[f50])).
% 5.10/1.16 thf(f764,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (comm_monoid_add @ X0 => ! [X2 : (X1 > X0),X3 : set @ X1,X4 : (X1 > X0),X5 : set @ X1] : ((X3 = X5) => (! [X6 : X1] : ((member @ X1 @ X6 @ X5) => (((X4 @ X6)) = ((X2 @ X6)))) => (((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X5))))))),
% 5.10/1.16 inference(rectify,[],[f35])).
% 5.10/1.16 thf(f765,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : ((comm_monoid_add @ X0 = $true) => ! [X4 : (X1 > X0),X3 : set @ X1,X2 : (X1 > X0),X5 : set @ X1] : ((X3 = X5) => (! [X6 : X1] : ((((member @ X1 @ X6 @ X5)) = $true) => (((X4 @ X6)) = ((X2 @ X6)))) => (((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X5))))))),
% 5.10/1.16 inference(fool_elimination,[],[f764])).
% 5.10/1.16 thf(f804,plain,(
% 5.10/1.16 ~ (! [X0 : nat] : ((((p @ X0)) != zero_zero @ nat) => ((ord_less_eq @ nat @ one_one @ nat @ X0) & (ord_less_eq @ nat @ X0 @ zero_zero @ nat))) & (((groups1340683514dd_sum @ nat @ nat @ (^[X1 : nat] : ((times_times @ nat @ (p @ X1) @ X1))) @ (set_ord_atMost @ nat @ zero_zero @ nat))) = zero_zero @ nat) = ((^[X2 : nat] : (zero_zero @ nat)) = p))),
% 5.10/1.16 inference(rectify,[],[f289])).
% 5.10/1.16 thf(f805,plain,(
% 5.10/1.16 ~((p = (^[Y0 : nat]: (zero_zero @ nat))) <=> (! [X0 : nat] : ((zero_zero @ nat != ((p @ X0))) => ((((ord_less_eq @ nat @ one_one @ nat @ X0)) = $true) & (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true))) & (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))))),
% 5.10/1.16 inference(fool_elimination,[],[f804])).
% 5.10/1.16 thf(f860,plain,(
% 5.10/1.16 ! [X0 : $tType] : ((linord1659791738miring @ X0 = $true) => (((ord_less_eq @ X0 @ one_one @ X0 @ zero_zero @ X0)) != $true))),
% 5.10/1.16 inference(flattening,[],[f562])).
% 5.10/1.16 thf(f1032,plain,(
% 5.10/1.16 (! [X0 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X0)) = $true) & (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true)) | (zero_zero @ nat = ((p @ X0)))) & (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) <~> (p = (^[Y0 : nat]: (zero_zero @ nat)))),
% 5.10/1.16 inference(ennf_transformation,[],[f805])).
% 5.10/1.16 thf(f1062,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (! [X4 : (X1 > X0),X3 : set @ X1,X2 : (X1 > X0),X5 : set @ X1] : (((((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X5))) | ? [X6 : X1] : ((((member @ X1 @ X6 @ X5)) = $true) & (((X4 @ X6)) != ((X2 @ X6))))) | (X3 != X5)) | (comm_monoid_add @ X0 != $true))),
% 5.10/1.16 inference(ennf_transformation,[],[f765])).
% 5.10/1.16 thf(f1063,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (! [X2 : (X1 > X0),X5 : set @ X1,X4 : (X1 > X0),X3 : set @ X1] : ((X3 != X5) | (((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X5))) | ? [X6 : X1] : ((((member @ X1 @ X6 @ X5)) = $true) & (((X4 @ X6)) != ((X2 @ X6))))) | (comm_monoid_add @ X0 != $true))),
% 5.10/1.16 inference(flattening,[],[f1062])).
% 5.10/1.16 thf(f1122,plain,(
% 5.10/1.16 ! [X1 : $tType,X0 : $tType] : ((comm_monoid_add @ X0 != $true) | ! [X3 : (X1 > X0),X2 : set @ X1] : ((zero_zero @ X0 = ((groups1340683514dd_sum @ X1 @ X0 @ X3 @ X2))) | ? [X4 : X1] : ((zero_zero @ X0 != ((X3 @ X4))) & (((member @ X1 @ X4 @ X2)) = $true))))),
% 5.10/1.16 inference(ennf_transformation,[],[f606])).
% 5.10/1.16 thf(f1137,plain,(
% 5.10/1.16 ! [X0 : $tType] : ((linord1659791738miring @ X0 != $true) | (((ord_less_eq @ X0 @ one_one @ X0 @ zero_zero @ X0)) != $true))),
% 5.10/1.16 inference(ennf_transformation,[],[f860])).
% 5.10/1.16 thf(f1181,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : ((comm_monoid_add @ X1 != $true) | ! [X2 : (X0 > X1),X3 : set @ X0] : ((zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X2 @ X3))) | ? [X4 : X0] : ((zero_zero @ X1 != ((X2 @ X4))) & (((member @ X0 @ X4 @ X3)) = $true))))),
% 5.10/1.16 inference(rectify,[],[f1122])).
% 5.10/1.16 thf(f1182,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : ((comm_monoid_add @ X1 != $true) | ! [X2 : (X0 > X1),X3 : set @ X0] : ((zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X2 @ X3))) | ((zero_zero @ X1 != ((X2 @ (sK7 @ X0 @ X1 @ X3 @ X2)))) & (((member @ X0 @ (sK7 @ X0 @ X1 @ X3 @ X2) @ X3)) = $true))))),
% 5.10/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X5,sK6 @ X2 @ X0)],[f1181])).
% 5.10/1.16 thf(f1278,plain,(
% 5.10/1.16 ! [X0 : nat] : (((zero_zero @ nat = X0) | (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true)) & ((((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true) | (zero_zero @ nat != X0)))),
% 5.10/1.16 inference(nnf_transformation,[],[f710])).
% 5.10/1.16 thf(f1280,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (! [X2 : (X1 > X0),X3 : set @ X1,X4 : (X1 > X0),X5 : set @ X1] : ((X3 != X5) | (((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X5))) | ? [X6 : X1] : ((((member @ X1 @ X6 @ X3)) = $true) & (((X4 @ X6)) != ((X2 @ X6))))) | (comm_monoid_add @ X0 != $true))),
% 5.10/1.16 inference(rectify,[],[f1063])).
% 5.10/1.16 thf(f1281,plain,(
% 5.10/1.16 ! [X0 : $tType,X1 : $tType] : (! [X2 : (X1 > X0),X3 : set @ X1,X4 : (X1 > X0),X5 : set @ X1] : ((X3 != X5) | (((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X5))) | (($true = ((member @ X1 @ (sK35 @ X0 @ X1 @ X4 @ X3 @ X2) @ X3))) & (((X2 @ (sK35 @ X0 @ X1 @ X4 @ X3 @ X2))) != ((X4 @ (sK35 @ X0 @ X1 @ X4 @ X3 @ X2)))))) | (comm_monoid_add @ X0 != $true))),
% 5.10/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X5,sK6 @ X2 @ X0)],[f1280])).
% 5.10/1.16 thf(f1341,plain,(
% 5.10/1.16 ! [X0 : nat,X1 : nat] : ((((zero_zero @ nat = X0) | (zero_zero @ nat = X1)) | (zero_zero @ nat != ((times_times @ nat @ X1 @ X0)))) & ((zero_zero @ nat = ((times_times @ nat @ X1 @ X0))) | ((zero_zero @ nat != X0) & (zero_zero @ nat != X1))))),
% 5.10/1.16 inference(nnf_transformation,[],[f477])).
% 5.10/1.16 thf(f1342,plain,(
% 5.10/1.16 ! [X0 : nat,X1 : nat] : (((zero_zero @ nat = X0) | (zero_zero @ nat = X1) | (zero_zero @ nat != ((times_times @ nat @ X1 @ X0)))) & ((zero_zero @ nat = ((times_times @ nat @ X1 @ X0))) | ((zero_zero @ nat != X0) & (zero_zero @ nat != X1))))),
% 5.10/1.16 inference(flattening,[],[f1341])).
% 5.10/1.16 thf(f1343,plain,(
% 5.10/1.16 ((p != (^[Y0 : nat]: (zero_zero @ nat))) | (? [X0 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X0)) != $true) | (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true)) & (zero_zero @ nat != ((p @ X0)))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))))) & ((p = (^[Y0 : nat]: (zero_zero @ nat))) | (! [X0 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X0)) = $true) & (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true)) | (zero_zero @ nat = ((p @ X0)))) & (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))))),
% 5.10/1.16 inference(nnf_transformation,[],[f1032])).
% 5.10/1.16 thf(f1344,plain,(
% 5.10/1.16 ((p != (^[Y0 : nat]: (zero_zero @ nat))) | ? [X0 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X0)) != $true) | (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true)) & (zero_zero @ nat != ((p @ X0)))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) & ((p = (^[Y0 : nat]: (zero_zero @ nat))) | (! [X0 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X0)) = $true) & (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) = $true)) | (zero_zero @ nat = ((p @ X0)))) & (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))))),
% 5.10/1.16 inference(flattening,[],[f1343])).
% 5.10/1.16 thf(f1345,plain,(
% 5.10/1.16 ((p != (^[Y0 : nat]: (zero_zero @ nat))) | ? [X0 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X0)) != $true) | (((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true)) & (zero_zero @ nat != ((p @ X0)))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) & ((p = (^[Y0 : nat]: (zero_zero @ nat))) | (! [X1 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X1)) = $true) & (((ord_less_eq @ nat @ X1 @ zero_zero @ nat)) = $true)) | (zero_zero @ nat = ((p @ X1)))) & (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))))),
% 5.10/1.16 inference(rectify,[],[f1344])).
% 5.10/1.16 thf(f1346,plain,(
% 5.10/1.16 ((p != (^[Y0 : nat]: (zero_zero @ nat))) | (((((ord_less_eq @ nat @ one_one @ nat @ sK53)) != $true) | (((ord_less_eq @ nat @ sK53 @ zero_zero @ nat)) != $true)) & (zero_zero @ nat != ((p @ sK53)))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))) & ((p = (^[Y0 : nat]: (zero_zero @ nat))) | (! [X1 : nat] : (((((ord_less_eq @ nat @ one_one @ nat @ X1)) = $true) & (((ord_less_eq @ nat @ X1 @ zero_zero @ nat)) = $true)) | (zero_zero @ nat = ((p @ X1)))) & (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))))),
% 5.10/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X0,sK53)],[f1345])).
% 5.10/1.16 thf(f1444,plain,(
% 5.10/1.16 ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > X1),X3 : set @ X0] : ((zero_zero @ X1 != ((X2 @ (sK7 @ X0 @ X1 @ X3 @ X2)))) | (zero_zero @ X1 = ((groups1340683514dd_sum @ X0 @ X1 @ X2 @ X3))) | (comm_monoid_add @ X1 != $true)) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1182])).
% 5.10/1.16 thf(f1574,plain,(
% 5.10/1.16 (comm_monoid_add @ nat = $true)),
% 5.10/1.16 inference(cnf_transformation,[],[f656])).
% 5.10/1.16 thf(f1612,plain,(
% 5.10/1.16 ( ! [X0 : nat] : ((((ord_less_eq @ nat @ X0 @ zero_zero @ nat)) != $true) | (zero_zero @ nat = X0)) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1278])).
% 5.10/1.16 thf(f1617,plain,(
% 5.10/1.16 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X3 : set @ X1,X4 : (X1 > X0),X5 : set @ X1] : ((X3 != X5) | (((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X3)) = ((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X5))) | (((X2 @ (sK35 @ X0 @ X1 @ X4 @ X3 @ X2))) != ((X4 @ (sK35 @ X0 @ X1 @ X4 @ X3 @ X2)))) | (comm_monoid_add @ X0 != $true)) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1281])).
% 5.10/1.16 thf(f1707,plain,(
% 5.10/1.16 ( ! [X0 : $tType] : ((((ord_less_eq @ X0 @ one_one @ X0 @ zero_zero @ X0)) != $true) | (linord1659791738miring @ X0 != $true)) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1137])).
% 5.10/1.16 thf(f1730,plain,(
% 5.10/1.16 ( ! [X0 : nat,X1 : nat] : ((zero_zero @ nat = ((times_times @ nat @ X1 @ X0))) | (zero_zero @ nat != X1)) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1342])).
% 5.10/1.16 thf(f1736,plain,(
% 5.10/1.16 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (p = (^[Y0 : nat]: (zero_zero @ nat))) | (((ord_less_eq @ nat @ X1 @ zero_zero @ nat)) = $true)) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1346])).
% 5.10/1.16 thf(f1737,plain,(
% 5.10/1.16 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (((ord_less_eq @ nat @ one_one @ nat @ X1)) = $true) | (p = (^[Y0 : nat]: (zero_zero @ nat)))) )),
% 5.10/1.16 inference(cnf_transformation,[],[f1346])).
% 5.10/1.16 thf(f1738,plain,(
% 5.10/1.16 (zero_zero @ nat != ((p @ sK53))) | (p != (^[Y0 : nat]: (zero_zero @ nat))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))),
% 5.10/1.16 inference(cnf_transformation,[],[f1346])).
% 5.10/1.16 thf(f1749,plain,(
% 5.10/1.16 (linord1659791738miring @ nat = $true)),
% 5.10/1.16 inference(cnf_transformation,[],[f650])).
% 5.10/1.16 thf(f1916,plain,(
% 5.10/1.16 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X0),X4 : (X1 > X0),X5 : set @ X1] : ((((groups1340683514dd_sum @ X1 @ X0 @ X4 @ X5)) = ((groups1340683514dd_sum @ X1 @ X0 @ X2 @ X5))) | (comm_monoid_add @ X0 != $true) | (((X2 @ (sK35 @ X0 @ X1 @ X4 @ X5 @ X2))) != ((X4 @ (sK35 @ X0 @ X1 @ X4 @ X5 @ X2))))) )),
% 5.10/1.16 inference(equality_resolution,[],[f1617])).
% 5.10/1.16 thf(f1936,plain,(
% 5.10/1.16 ( ! [X0 : nat] : ((zero_zero @ nat = ((times_times @ nat @ zero_zero @ nat @ X0)))) )),
% 5.10/1.16 inference(equality_resolution,[],[f1730])).
% 5.10/1.16 thf(f1976,definition,(
% 5.10/1.16 spl74_2 <=> (p = (^[Y0 : nat]: (zero_zero @ nat)))),
% 5.10/1.16 introduced(definition,[new_symbols(definition,[spl74_2])],[avatar_definition])).
% 5.10/1.16 thf(f1977,plain,(
% 5.10/1.16 (p = (^[Y0 : nat]: (zero_zero @ nat))) | ~spl74_2),
% 5.10/1.16 inference(avatar_component_clause,[],[f1976])).
% 5.10/1.16 thf(f1978,plain,(
% 5.10/1.16 (p != (^[Y0 : nat]: (zero_zero @ nat))) | spl74_2),
% 5.10/1.16 inference(avatar_component_clause,[],[f1976])).
% 5.10/1.16 thf(f1980,definition,(
% 5.10/1.16 spl74_3 <=> (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat))))),
% 5.10/1.16 introduced(definition,[new_symbols(definition,[spl74_3])],[avatar_definition])).
% 5.10/1.16 thf(f1982,plain,(
% 5.10/1.16 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | spl74_3),
% 5.10/1.16 inference(avatar_component_clause,[],[f1980])).
% 5.10/1.16 thf(f1990,definition,(
% 5.10/1.16 spl74_5 <=> ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (((ord_less_eq @ nat @ one_one @ nat @ X1)) = $true))),
% 5.10/1.16 introduced(definition,[new_symbols(definition,[spl74_5])],[avatar_definition])).
% 5.10/1.16 thf(f1991,plain,(
% 5.10/1.16 ( ! [X1 : nat] : ((((ord_less_eq @ nat @ one_one @ nat @ X1)) = $true) | (zero_zero @ nat = ((p @ X1)))) ) | ~spl74_5),
% 5.10/1.16 inference(avatar_component_clause,[],[f1990])).
% 5.10/1.16 thf(f1992,plain,(
% 5.10/1.16 spl74_2 | spl74_5),
% 5.10/1.16 inference(avatar_split_clause,[],[f1737,f1990,f1976])).
% 5.10/1.16 thf(f1994,definition,(
% 5.10/1.16 spl74_6 <=> ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1))) | (((ord_less_eq @ nat @ X1 @ zero_zero @ nat)) = $true))),
% 5.10/1.16 introduced(definition,[new_symbols(definition,[spl74_6])],[avatar_definition])).
% 5.10/1.16 thf(f1995,plain,(
% 5.10/1.16 ( ! [X1 : nat] : ((((ord_less_eq @ nat @ X1 @ zero_zero @ nat)) = $true) | (zero_zero @ nat = ((p @ X1)))) ) | ~spl74_6),
% 5.10/1.16 inference(avatar_component_clause,[],[f1994])).
% 5.10/1.16 thf(f1996,plain,(
% 5.10/1.16 spl74_6 | spl74_2),
% 5.10/1.16 inference(avatar_split_clause,[],[f1736,f1976,f1994])).
% 5.10/1.16 thf(f1998,definition,(
% 5.10/1.16 spl74_7 <=> (zero_zero @ nat = ((p @ sK53)))),
% 5.10/1.16 introduced(definition,[new_symbols(definition,[spl74_7])],[avatar_definition])).
% 5.10/1.16 thf(f2000,plain,(
% 5.10/1.16 (zero_zero @ nat != ((p @ sK53))) | spl74_7),
% 5.10/1.16 inference(avatar_component_clause,[],[f1998])).
% 5.10/1.16 thf(f2001,plain,(
% 5.10/1.16 ~spl74_2 | ~spl74_7 | ~spl74_3),
% 5.10/1.16 inference(avatar_split_clause,[],[f1738,f1980,f1998,f1976])).
% 5.10/1.16 thf(f2002,plain,(
% 5.10/1.16 ( ! [X1 : nat] : (((((^[Y0 : nat]: (zero_zero @ nat)) @ X1)) = ((p @ X1)))) ) | ~spl74_2),
% 5.10/1.16 inference(argument_congruence,[],[f1977])).
% 5.10/1.16 thf(f2003,plain,(
% 5.10/1.16 ( ! [X1 : nat] : ((zero_zero @ nat = ((p @ X1)))) ) | ~spl74_2),
% 5.10/1.16 inference(beta-eta_normalization,[],[f2002])).
% 5.10/1.16 thf(f2004,plain,(
% 5.10/1.16 ( ! [X0 : (nat > nat)] : (((((^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0))))) != ((X0 @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (comm_monoid_add @ nat != $true)) ) | spl74_3),
% 5.10/1.16 inference(constrained_superposition,[],[f1982,f1916])).
% 5.10/1.16 thf(f2006,plain,(
% 5.10/1.16 ( ! [X0 : (nat > nat)] : ((((X0 @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0))))) != ((times_times @ nat @ (p @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))) @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))))) | (comm_monoid_add @ nat != $true) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat))))) ) | spl74_3),
% 5.10/1.16 inference(beta-eta_normalization,[],[f2004])).
% 5.10/1.16 thf(f2008,plain,(
% 5.10/1.16 ( ! [X0 : (nat > nat)] : ((((X0 @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0))))) != ((times_times @ nat @ (p @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))) @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat))))) ) | spl74_3),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f2006,f1574])).
% 5.10/1.16 thf(f2010,plain,(
% 5.10/1.16 ( ! [X0 : (nat > nat)] : ((zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (((times_times @ nat @ zero_zero @ nat @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0))))) != ((X0 @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0))))))) ) | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(forward_demodulation,[],[f2008,f2003])).
% 5.10/1.16 thf(f2012,plain,(
% 5.10/1.16 ( ! [X0 : (nat > nat)] : ((zero_zero @ nat != ((X0 @ (sK35 @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ X0 @ (set_ord_atMost @ nat @ zero_zero @ nat))))) ) | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(forward_demodulation,[],[f2010,f1936])).
% 5.10/1.16 thf(f2030,plain,(
% 5.10/1.16 ( ! [X0 : set @ nat] : ((zero_zero @ nat != zero_zero @ nat) | (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ p @ X0))) | (comm_monoid_add @ nat != $true)) ) | ~spl74_2),
% 5.10/1.16 inference(constrained_superposition,[],[f1444,f2003])).
% 5.10/1.16 thf(f2076,plain,(
% 5.10/1.16 ( ! [X0 : set @ nat] : ((comm_monoid_add @ nat != $true) | (zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ p @ X0)))) ) | ~spl74_2),
% 5.10/1.16 inference(trivial_inequality_removal,[],[f2030])).
% 5.10/1.16 thf(f2095,plain,(
% 5.10/1.16 ( ! [X0 : set @ nat] : ((zero_zero @ nat = ((groups1340683514dd_sum @ nat @ nat @ p @ X0)))) ) | ~spl74_2),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f2076,f1574])).
% 5.10/1.16 thf(f2166,plain,(
% 5.10/1.16 (zero_zero @ nat != (((^[Y0 : nat]: (zero_zero @ nat)) @ (sK35 @ nat @ nat @ (^[Y0 : nat]: (zero_zero @ nat)) @ (set_ord_atMost @ nat @ zero_zero @ nat) @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)))))) | (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (zero_zero @ nat)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(imitation,[],[f2012])).
% 5.10/1.16 thf(f2189,plain,(
% 5.10/1.16 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (zero_zero @ nat)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (zero_zero @ nat != zero_zero @ nat) | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(beta-eta_normalization,[],[f2166])).
% 5.10/1.16 thf(f2190,plain,(
% 5.10/1.16 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (zero_zero @ nat)) @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(trivial_inequality_removal,[],[f2189])).
% 5.10/1.16 thf(f2199,plain,(
% 5.10/1.16 (zero_zero @ nat != ((groups1340683514dd_sum @ nat @ nat @ p @ (set_ord_atMost @ nat @ zero_zero @ nat)))) | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(forward_demodulation,[],[f2190,f1977])).
% 5.10/1.16 thf(f2221,plain,(
% 5.10/1.16 $false | (~spl74_2 | spl74_3)),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f2199,f2095])).
% 5.10/1.16 thf(f2222,plain,(
% 5.10/1.16 ~spl74_2 | spl74_3),
% 5.10/1.16 inference(avatar_contradiction_clause,[],[f2221])).
% 5.10/1.16 thf(f2224,plain,(
% 5.10/1.16 $false | (~spl74_2 | spl74_7)),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f2000,f2003])).
% 5.10/1.16 thf(f2225,plain,(
% 5.10/1.16 ~spl74_2 | spl74_7),
% 5.10/1.16 inference(avatar_contradiction_clause,[],[f2224])).
% 5.10/1.16 thf(f2226,plain,(
% 5.10/1.16 (((p @ sK75)) != (((^[Y0 : nat]: (zero_zero @ nat)) @ sK75))) | spl74_2),
% 5.10/1.16 inference(negative_extensionality,[],[f1978])).
% 5.10/1.16 thf(f2227,plain,(
% 5.10/1.16 (zero_zero @ nat != ((p @ sK75))) | spl74_2),
% 5.10/1.16 inference(beta-eta_normalization,[],[f2226])).
% 5.10/1.16 thf(f2499,definition,(
% 5.10/1.16 spl74_23 <=> (((ord_less_eq @ nat @ one_one @ nat @ zero_zero @ nat)) = $true)),
% 5.10/1.16 introduced(definition,[new_symbols(definition,[spl74_23])],[avatar_definition])).
% 5.10/1.16 thf(f2500,plain,(
% 5.10/1.16 (((ord_less_eq @ nat @ one_one @ nat @ zero_zero @ nat)) = $true) | ~spl74_23),
% 5.10/1.16 inference(avatar_component_clause,[],[f2499])).
% 5.10/1.16 thf(f2501,plain,(
% 5.10/1.16 (((ord_less_eq @ nat @ one_one @ nat @ zero_zero @ nat)) != $true) | spl74_23),
% 5.10/1.16 inference(avatar_component_clause,[],[f2499])).
% 5.10/1.16 thf(f2760,plain,(
% 5.10/1.16 ( ! [X0 : nat] : ((zero_zero @ nat = ((p @ X0))) | ($true != $true) | (zero_zero @ nat = X0)) ) | ~spl74_6),
% 5.10/1.16 inference(constrained_superposition,[],[f1612,f1995])).
% 5.10/1.16 thf(f2791,plain,(
% 5.10/1.16 ( ! [X0 : nat] : ((zero_zero @ nat = ((p @ X0))) | (zero_zero @ nat = X0)) ) | ~spl74_6),
% 5.10/1.16 inference(trivial_inequality_removal,[],[f2760])).
% 5.10/1.16 thf(f3150,plain,(
% 5.10/1.16 (zero_zero @ nat = sK75) | (zero_zero @ nat != zero_zero @ nat) | (spl74_2 | ~spl74_6)),
% 5.10/1.16 inference(constrained_superposition,[],[f2227,f2791])).
% 5.10/1.16 thf(f3226,plain,(
% 5.10/1.16 (zero_zero @ nat = sK75) | (spl74_2 | ~spl74_6)),
% 5.10/1.16 inference(trivial_inequality_removal,[],[f3150])).
% 5.10/1.16 thf(f3524,plain,(
% 5.10/1.16 (((ord_less_eq @ nat @ one_one @ nat @ sK75)) != $true) | (spl74_2 | ~spl74_6 | spl74_23)),
% 5.10/1.16 inference(forward_demodulation,[],[f2501,f3226])).
% 5.10/1.16 thf(f3787,plain,(
% 5.10/1.16 (linord1659791738miring @ nat != $true) | (((ord_less_eq @ nat @ one_one @ nat @ sK75)) != $true) | (spl74_2 | ~spl74_6)),
% 5.10/1.16 inference(constrained_superposition,[],[f1707,f3226])).
% 5.10/1.16 thf(f4016,plain,(
% 5.10/1.16 ($true != $true) | (zero_zero @ nat = ((p @ sK75))) | (spl74_2 | ~spl74_5 | ~spl74_6 | spl74_23)),
% 5.10/1.16 inference(constrained_superposition,[],[f3524,f1991])).
% 5.10/1.16 thf(f4036,plain,(
% 5.10/1.16 (zero_zero @ nat = ((p @ sK75))) | (spl74_2 | ~spl74_5 | ~spl74_6 | spl74_23)),
% 5.10/1.16 inference(trivial_inequality_removal,[],[f4016])).
% 5.10/1.16 thf(f4047,plain,(
% 5.10/1.16 $false | (spl74_2 | ~spl74_5 | ~spl74_6 | spl74_23)),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f4036,f2227])).
% 5.10/1.16 thf(f4048,plain,(
% 5.10/1.16 spl74_2 | ~spl74_5 | ~spl74_6 | spl74_23),
% 5.10/1.16 inference(avatar_contradiction_clause,[],[f4047])).
% 5.10/1.16 thf(f4052,plain,(
% 5.10/1.16 (((ord_less_eq @ nat @ one_one @ nat @ sK75)) != $true) | (spl74_2 | ~spl74_6)),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f3787,f1749])).
% 5.10/1.16 thf(f4054,plain,(
% 5.10/1.16 (((ord_less_eq @ nat @ one_one @ nat @ sK75)) = $true) | (spl74_2 | ~spl74_6 | ~spl74_23)),
% 5.10/1.16 inference(forward_demodulation,[],[f2500,f3226])).
% 5.10/1.16 thf(f4055,plain,(
% 5.10/1.16 $false | (spl74_2 | ~spl74_6 | ~spl74_23)),
% 5.10/1.16 inference(forward_subsumption_resolution,[],[f4054,f4052])).
% 5.10/1.16 thf(f4056,plain,(
% 5.10/1.16 spl74_2 | ~spl74_6 | ~spl74_23),
% 5.10/1.16 inference(avatar_contradiction_clause,[],[f4055])).
% 5.10/1.16 cnf(s3, plain, spl74_2 | spl74_5, inference(sat_conversion,[],[f1992])).
% 5.10/1.16 cnf(s4, plain, spl74_2 | spl74_6, inference(sat_conversion,[],[f1996])).
% 5.10/1.16 cnf(s5, plain, ~spl74_2 | ~spl74_3 | ~spl74_7, inference(sat_conversion,[],[f2001])).
% 5.10/1.16 cnf(s11, plain, ~spl74_2 | spl74_3, inference(sat_conversion,[],[f2222])).
% 5.10/1.16 cnf(s13, plain, ~spl74_2 | spl74_7, inference(sat_conversion,[],[f2225])).
% 5.10/1.16 cnf(s90, plain, spl74_2 | ~spl74_5 | ~spl74_6 | spl74_23, inference(sat_conversion,[],[f4048])).
% 5.10/1.16 cnf(s92, plain, spl74_2 | ~spl74_6 | ~spl74_23, inference(sat_conversion,[],[f4056])).
% 5.10/1.16 cnf(s93, plain, spl74_2, inference(rat,[],[s90,s92,s3,s4])).
% 5.10/1.16 cnf(s94, plain, spl74_7, inference(rat,[],[s13,s93])).
% 5.10/1.16 cnf(s95, plain, spl74_3, inference(rat,[],[s11,s93])).
% 5.10/1.16 cnf(s96, plain, $false, inference(rat,[],[s5,s94,s95,s93])).
% 5.10/1.16 thf(f4057,plain,(
% 5.10/1.16 $false),
% 5.10/1.16 inference(avatar_sat_refutation,[],[s96])).
% 5.10/1.16 % SZS output end Proof for theBenchmark
% 5.10/1.16 % (835721)------------------------------
% 5.10/1.16 % (835721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.16 % (835721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.16 % (835721)CaDiCaL version: 2.1.3
% 5.10/1.16 % (835721)Termination reason: Refutation
% 5.10/1.16 % (835721)Time elapsed: 0.321 s
% 5.10/1.16 % (835721)Peak memory usage: 16 MB
% 5.10/1.16 % (835721)Instructions burned: 373 (million)
% 5.10/1.16 % (835630)Success in time 0.857 s
% 5.10/1.16 % Vampire exiting
%------------------------------------------------------------------------------