%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV462^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:38:40 AM UTC 2026
% Result : Theorem 5.23s 1.11s
% Output : Refutation 5.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV462^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n019.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 15:48:49 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running higher-order theorem proving
% 0.24/0.31 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
% 0.71/0.48 % (951639)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.48 % (951649)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3064699450:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.48 % (951644)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4072627754:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.48 % (951650)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.48 % (951650)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
% 0.71/0.48 % (951647)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=2761566007:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.71/0.48 % (951650)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=2181990604:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.48 % (951645)lrs+10_16_si=on:nwc=1.5:random_seed=1118563875:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.48 % (951648)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3688372579:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.48 % (951646)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4213341915:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.48 % (951646)Instruction limit reached!
% 0.71/0.48 % (951646)------------------------------
% 0.71/0.48 % (951646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (951646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (951646)CaDiCaL version: 2.1.3
% 0.71/0.48 % (951646)Termination reason: Instruction limit
% 0.71/0.48 % (951646)Termination phase: Saturation
% 0.71/0.48 % (951646)Time elapsed: 0.003 s
% 0.71/0.48 % (951646)Peak memory usage: 12 MB
% 0.71/0.48 % (951646)Instructions burned: 3 (million)
% 0.71/0.48 % (951645)Instruction limit reached!
% 0.71/0.48 % (951645)------------------------------
% 0.71/0.48 % (951645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (951645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (951645)CaDiCaL version: 2.1.3
% 0.71/0.48 % (951645)Termination reason: Instruction limit
% 0.71/0.48 % (951645)Termination phase: Saturation
% 0.71/0.48 % (951645)Time elapsed: 0.018 s
% 0.71/0.48 % (951645)Peak memory usage: 12 MB
% 0.71/0.48 % (951645)Instructions burned: 19 (million)
% 0.71/0.48 % (951659)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=842607143:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.48 % (951659)Instruction limit reached!
% 0.71/0.48 % (951659)------------------------------
% 0.71/0.48 % (951659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (951659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (951659)CaDiCaL version: 2.1.3
% 0.71/0.48 % (951659)Termination reason: Instruction limit
% 0.71/0.48 % (951659)Termination phase: Saturation
% 0.71/0.48 % (951659)Time elapsed: 0.001 s
% 0.71/0.48 % (951659)Peak memory usage: 12 MB
% 0.71/0.48 % (951659)Instructions burned: 3 (million)
% 0.71/0.48 % (951648)Instruction limit reached!
% 0.71/0.48 % (951648)------------------------------
% 0.71/0.48 % (951648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (951648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.48 % (951648)CaDiCaL version: 2.1.3
% 0.71/0.48 % (951648)Termination reason: Instruction limit
% 0.71/0.48 % (951648)Termination phase: Saturation
% 0.71/0.48 % (951648)Time elapsed: 0.026 s
% 0.71/0.48 % (951648)Peak memory usage: 11 MB
% 0.71/0.48 % (951648)Instructions burned: 24 (million)
% 0.71/0.48 % (951649)Instruction limit reached!
% 0.71/0.48 % (951649)------------------------------
% 0.71/0.48 % (951649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.48 % (951649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (951649)CaDiCaL version: 2.1.3
% 1.36/0.54 % (951649)Termination reason: Instruction limit
% 1.36/0.54 % (951649)Termination phase: Saturation
% 1.36/0.54 % (951649)Time elapsed: 0.041 s
% 1.36/0.54 % (951649)Peak memory usage: 12 MB
% 1.36/0.54 % (951649)Instructions burned: 75 (million)
% 1.36/0.54 % (951662)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.36/0.54 % (951662)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1927684658:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.36/0.54 % (951662)Instruction limit reached!
% 1.36/0.54 % (951662)------------------------------
% 1.36/0.54 % (951662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (951662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (951662)CaDiCaL version: 2.1.3
% 1.36/0.54 % (951662)Termination reason: Instruction limit
% 1.36/0.54 % (951662)Termination phase: Saturation
% 1.36/0.54 % (951662)Time elapsed: 0.003 s
% 1.36/0.54 % (951662)Peak memory usage: 12 MB
% 1.36/0.54 % (951662)Instructions burned: 10 (million)
% 1.36/0.54 % (951667)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=2148460665:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.36/0.54 % (951661)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1895829221:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.36/0.54 % (951664)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
% 1.36/0.54 % (951661)Instruction limit reached!
% 1.36/0.54 % (951661)------------------------------
% 1.36/0.54 % (951661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (951664)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.36/0.54 % (951661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (951661)CaDiCaL version: 2.1.3
% 1.36/0.54 % (951661)Termination reason: Instruction limit
% 1.36/0.54 % (951661)Termination phase: Saturation
% 1.36/0.54 % (951661)Time elapsed: 0.006 s
% 1.36/0.54 % (951661)Peak memory usage: 12 MB
% 1.36/0.54 % (951661)Instructions burned: 5 (million)
% 1.36/0.54 % (951663)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2583696385:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.36/0.54 % (951664)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2206835708:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.36/0.54 % (951644)Instruction limit reached!
% 1.36/0.54 % (951644)------------------------------
% 1.36/0.54 % (951644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (951644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (951644)CaDiCaL version: 2.1.3
% 1.36/0.54 % (951644)Termination reason: Instruction limit
% 1.36/0.54 % (951644)Termination phase: Saturation
% 1.36/0.54 % (951644)Time elapsed: 0.077 s
% 1.36/0.54 % (951644)Peak memory usage: 13 MB
% 1.36/0.54 % (951644)Instructions burned: 87 (million)
% 1.36/0.54 % (951663)Instruction limit reached!
% 1.36/0.54 % (951663)------------------------------
% 1.36/0.54 % (951663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (951663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.54 % (951663)CaDiCaL version: 2.1.3
% 1.36/0.54 % (951663)Termination reason: Instruction limit
% 1.36/0.54 % (951663)Termination phase: Saturation
% 1.36/0.54 % (951663)Time elapsed: 0.013 s
% 1.36/0.54 % (951663)Peak memory usage: 12 MB
% 1.36/0.54 % (951663)Instructions burned: 12 (million)
% 1.36/0.54 % (951667)Instruction limit reached!
% 1.36/0.54 % (951667)------------------------------
% 1.36/0.54 % (951667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.54 % (951667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (951667)CaDiCaL version: 2.1.3
% 1.89/0.60 % (951667)Termination reason: Instruction limit
% 1.89/0.60 % (951667)Termination phase: Saturation
% 1.89/0.60 % (951667)Time elapsed: 0.035 s
% 1.89/0.60 % (951667)Peak memory usage: 12 MB
% 1.89/0.60 % (951667)Instructions burned: 86 (million)
% 1.89/0.60 % (951664)Instruction limit reached!
% 1.89/0.60 % (951664)------------------------------
% 1.89/0.60 % (951664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (951671)lrs+10_1_si=on:cs=on:random_seed=2101920483:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.89/0.60 % (951664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (951664)CaDiCaL version: 2.1.3
% 1.89/0.60 % (951664)Termination reason: Instruction limit
% 1.89/0.60 % (951664)Termination phase: Saturation
% 1.89/0.60 % (951664)Time elapsed: 0.026 s
% 1.89/0.60 % (951664)Peak memory usage: 12 MB
% 1.89/0.60 % (951664)Instructions burned: 28 (million)
% 1.89/0.60 % (951674)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.89/0.60 % (951674)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=2772906242:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.89/0.60 % (951671)Instruction limit reached!
% 1.89/0.60 % (951671)------------------------------
% 1.89/0.60 % (951671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (951671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (951671)CaDiCaL version: 2.1.3
% 1.89/0.60 % (951671)Termination reason: Instruction limit
% 1.89/0.60 % (951671)Termination phase: Saturation
% 1.89/0.60 % (951671)Time elapsed: 0.007 s
% 1.89/0.60 % (951671)Peak memory usage: 11 MB
% 1.89/0.60 % (951671)Instructions burned: 8 (million)
% 1.89/0.60 % (951674)Instruction limit reached!
% 1.89/0.60 % (951674)------------------------------
% 1.89/0.60 % (951674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (951674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (951674)CaDiCaL version: 2.1.3
% 1.89/0.60 % (951674)Termination reason: Instruction limit
% 1.89/0.60 % (951674)Termination phase: Preprocessing 3
% 1.89/0.60 % (951674)Time elapsed: 0.002 s
% 1.89/0.60 % (951674)Peak memory usage: 10 MB
% 1.89/0.60 % (951674)Instructions burned: 2 (million)
% 1.89/0.60 % (951677)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1785041797:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.89/0.60 % (951676)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1558064426:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.89/0.60 % (951677)Refutation not found, incomplete strategy
% 1.89/0.60 % (951677)------------------------------
% 1.89/0.60 % (951677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (951677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (951677)CaDiCaL version: 2.1.3
% 1.89/0.60 % (951677)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.60 % (951677)Time elapsed: 0.006 s
% 1.89/0.60 % (951677)Peak memory usage: 12 MB
% 1.89/0.60 % (951677)Instructions burned: 4 (million)
% 1.89/0.60 % (951677)------------------------------
% 1.89/0.60 % (951677)------------------------------
% 1.89/0.60 % (951681)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1310563828:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.89/0.60 % (951679)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4050541122:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.89/0.60 % (951681)Instruction limit reached!
% 1.89/0.60 % (951681)------------------------------
% 1.89/0.60 % (951681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (951681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (951681)CaDiCaL version: 2.1.3
% 1.89/0.60 % (951681)Termination reason: Instruction limit
% 1.89/0.60 % (951681)Termination phase: Saturation
% 1.89/0.60 % (951681)Time elapsed: 0.008 s
% 1.89/0.60 % (951681)Peak memory usage: 12 MB
% 1.89/0.60 % (951681)Instructions burned: 16 (million)
% 2.44/0.71 % (951682)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3012251257:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.44/0.71 % (951676)Instruction limit reached!
% 2.44/0.71 % (951676)------------------------------
% 2.44/0.71 % (951676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (951676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (951676)CaDiCaL version: 2.1.3
% 2.44/0.71 % (951676)Termination reason: Instruction limit
% 2.44/0.71 % (951676)Termination phase: Saturation
% 2.44/0.71 % (951676)Time elapsed: 0.037 s
% 2.44/0.71 % (951676)Peak memory usage: 12 MB
% 2.44/0.71 % (951676)Instructions burned: 39 (million)
% 2.44/0.71 % (951689)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=662922443:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.44/0.71 % (951689)Instruction limit reached!
% 2.44/0.71 % (951689)------------------------------
% 2.44/0.71 % (951689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (951689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (951689)CaDiCaL version: 2.1.3
% 2.44/0.71 % (951689)Termination reason: Instruction limit
% 2.44/0.71 % (951689)Termination phase: Twee Goal Transformation
% 2.44/0.71 % (951689)Time elapsed: 0.001 s
% 2.44/0.71 % (951689)Peak memory usage: 11 MB
% 2.44/0.71 % (951689)Instructions burned: 2 (million)
% 2.44/0.71 % (951650)Instruction limit reached!
% 2.44/0.71 % (951650)------------------------------
% 2.44/0.71 % (951650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (951650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (951650)CaDiCaL version: 2.1.3
% 2.44/0.71 % (951650)Termination reason: Instruction limit
% 2.44/0.71 % (951650)Termination phase: Saturation
% 2.44/0.71 % (951650)Time elapsed: 0.146 s
% 2.44/0.71 % (951650)Peak memory usage: 12 MB
% 2.44/0.71 % (951650)Instructions burned: 157 (million)
% 2.44/0.71 % (951685)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3155863215:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.44/0.71 % (951679)Instruction limit reached!
% 2.44/0.71 % (951679)------------------------------
% 2.44/0.71 % (951679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (951679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (951679)CaDiCaL version: 2.1.3
% 2.44/0.71 % (951679)Termination reason: Instruction limit
% 2.44/0.71 % (951679)Termination phase: Saturation
% 2.44/0.71 % (951679)Time elapsed: 0.026 s
% 2.44/0.71 % (951679)Peak memory usage: 12 MB
% 2.44/0.71 % (951679)Instructions burned: 25 (million)
% 2.44/0.71 % (951685)Instruction limit reached!
% 2.44/0.71 % (951685)------------------------------
% 2.44/0.71 % (951685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.71 % (951685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.71 % (951685)CaDiCaL version: 2.1.3
% 2.44/0.71 % (951685)Termination reason: Instruction limit
% 2.44/0.71 % (951685)Termination phase: Saturation
% 2.44/0.71 % (951685)Time elapsed: 0.014 s
% 2.44/0.71 % (951685)Peak memory usage: 12 MB
% 2.44/0.71 % (951685)Instructions burned: 15 (million)
% 2.44/0.71 % (951695)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=944471013:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.44/0.71 % (951693)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2203726723:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.44/0.71 % (951692)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1202336988:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.44/0.71 % (951696)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
% 2.44/0.71 % (951696)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.44/0.71 % (951696)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=4103608575:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.44/0.80 % (951693)Instruction limit reached!
% 2.44/0.80 % (951693)------------------------------
% 2.44/0.80 % (951693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (951693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (951693)CaDiCaL version: 2.1.3
% 2.44/0.80 % (951693)Termination reason: Instruction limit
% 2.44/0.80 % (951693)Termination phase: Saturation
% 2.44/0.80 % (951693)Time elapsed: 0.018 s
% 2.44/0.80 % (951693)Peak memory usage: 12 MB
% 2.44/0.80 % (951693)Instructions burned: 23 (million)
% 2.44/0.80 % (951698)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.44/0.80 % (951698)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=1659433457:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.44/0.80 % (951695)Instruction limit reached!
% 2.44/0.80 % (951695)------------------------------
% 2.44/0.80 % (951695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (951695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (951695)CaDiCaL version: 2.1.3
% 2.44/0.80 % (951695)Termination reason: Instruction limit
% 2.44/0.80 % (951695)Termination phase: Saturation
% 2.44/0.80 % (951695)Time elapsed: 0.032 s
% 2.44/0.80 % (951695)Peak memory usage: 12 MB
% 2.44/0.80 % (951695)Instructions burned: 62 (million)
% 2.44/0.80 % (951696)Instruction limit reached!
% 2.44/0.80 % (951696)------------------------------
% 2.44/0.80 % (951696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (951696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (951696)CaDiCaL version: 2.1.3
% 2.44/0.80 % (951696)Termination reason: Instruction limit
% 2.44/0.80 % (951696)Termination phase: Saturation
% 2.44/0.80 % (951696)Time elapsed: 0.015 s
% 2.44/0.80 % (951696)Peak memory usage: 12 MB
% 2.44/0.80 % (951696)Instructions burned: 15 (million)
% 2.44/0.80 % (951692)Instruction limit reached!
% 2.44/0.80 % (951692)------------------------------
% 2.44/0.80 % (951692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (951692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (951692)CaDiCaL version: 2.1.3
% 2.44/0.80 % (951692)Termination reason: Instruction limit
% 2.44/0.80 % (951692)Termination phase: Saturation
% 2.44/0.80 % (951692)Time elapsed: 0.026 s
% 2.44/0.80 % (951692)Peak memory usage: 12 MB
% 2.44/0.80 % (951692)Instructions burned: 26 (million)
% 2.44/0.80 % (951698)Instruction limit reached!
% 2.44/0.80 % (951698)------------------------------
% 2.44/0.80 % (951698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.80 % (951698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.80 % (951698)CaDiCaL version: 2.1.3
% 2.44/0.80 % (951698)Termination reason: Instruction limit
% 2.44/0.80 % (951698)Termination phase: Saturation
% 2.44/0.80 % (951698)Time elapsed: 0.009 s
% 2.44/0.80 % (951698)Peak memory usage: 12 MB
% 2.44/0.80 % (951698)Instructions burned: 8 (million)
% 2.44/0.80 % (951704)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=2842187428:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.44/0.80 % (951711)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3652859616:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.44/0.80 % (951709)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2975163136:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.44/0.80 % (951707)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3073028311:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.44/0.80 % (951710)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4061589297:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.44/0.80 % (951707)Instruction limit reached!
% 2.44/0.80 % (951707)------------------------------
% 2.44/0.80 % (951707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.91 % (951707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.91 % (951707)CaDiCaL version: 2.1.3
% 3.55/0.91 % (951707)Termination reason: Instruction limit
% 3.55/0.91 % (951707)Termination phase: Saturation
% 3.55/0.91 % (951707)Time elapsed: 0.008 s
% 3.55/0.91 % (951707)Peak memory usage: 12 MB
% 3.55/0.91 % (951707)Instructions burned: 8 (million)
% 3.55/0.91 % (951709)Instruction limit reached!
% 3.55/0.91 % (951709)------------------------------
% 3.55/0.91 % (951709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.91 % (951709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.91 % (951709)CaDiCaL version: 2.1.3
% 3.55/0.91 % (951709)Termination reason: Instruction limit
% 3.55/0.91 % (951709)Termination phase: Saturation
% 3.55/0.91 % (951709)Time elapsed: 0.012 s
% 3.55/0.91 % (951709)Peak memory usage: 12 MB
% 3.55/0.91 % (951709)Instructions burned: 23 (million)
% 3.55/0.91 % (951704)Instruction limit reached!
% 3.55/0.91 % (951704)------------------------------
% 3.55/0.91 % (951704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.91 % (951704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.91 % (951704)CaDiCaL version: 2.1.3
% 3.55/0.91 % (951704)Termination reason: Instruction limit
% 3.55/0.91 % (951704)Termination phase: Saturation
% 3.55/0.91 % (951704)Time elapsed: 0.029 s
% 3.55/0.91 % (951704)Peak memory usage: 12 MB
% 3.55/0.91 % (951704)Instructions burned: 31 (million)
% 3.55/0.91 % (951710)Instruction limit reached!
% 3.55/0.91 % (951710)------------------------------
% 3.55/0.91 % (951710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.91 % (951710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.91 % (951710)CaDiCaL version: 2.1.3
% 3.55/0.91 % (951710)Termination reason: Instruction limit
% 3.55/0.91 % (951710)Termination phase: Saturation
% 3.55/0.91 % (951710)Time elapsed: 0.020 s
% 3.55/0.91 % (951710)Peak memory usage: 12 MB
% 3.55/0.91 % (951710)Instructions burned: 20 (million)
% 3.55/0.91 % (951721)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=131488303:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 3.55/0.91 % (951724)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.55/0.91 % (951719)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2818903917:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.55/0.91 % (951724)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3182217710:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 3.55/0.91 % (951722)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3913966743:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 3.55/0.91 % (951724)Instruction limit reached!
% 3.55/0.91 % (951724)------------------------------
% 3.55/0.91 % (951724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.91 % (951724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.91 % (951724)CaDiCaL version: 2.1.3
% 3.55/0.91 % (951724)Termination reason: Instruction limit
% 3.55/0.91 % (951724)Termination phase: Saturation
% 3.55/0.91 % (951724)Time elapsed: 0.006 s
% 3.55/0.91 % (951724)Peak memory usage: 12 MB
% 3.55/0.91 % (951724)Instructions burned: 8 (million)
% 3.55/0.91 % (951731)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2925509659:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.55/0.91 % (951722)Instruction limit reached!
% 3.55/0.91 % (951722)------------------------------
% 3.55/0.91 % (951722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.91 % (951722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.91 % (951722)CaDiCaL version: 2.1.3
% 3.55/0.91 % (951722)Termination reason: Instruction limit
% 3.55/0.91 % (951722)Termination phase: Saturation
% 3.55/0.91 % (951722)Time elapsed: 0.039 s
% 3.55/0.91 % (951722)Peak memory usage: 12 MB
% 3.55/0.91 % (951722)Instructions burned: 43 (million)
% 3.55/0.91 % (951738)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=1881916864: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)
% 5.23/1.06 % (951738)Refutation not found, incomplete strategy
% 5.23/1.06 % (951738)------------------------------
% 5.23/1.06 % (951738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.06 % (951738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.06 % (951738)CaDiCaL version: 2.1.3
% 5.23/1.06 % (951738)Termination reason: Refutation not found, incomplete strategy
% 5.23/1.06 % (951738)Time elapsed: 0.004 s
% 5.23/1.06 % (951738)Peak memory usage: 12 MB
% 5.23/1.06 % (951738)Instructions burned: 3 (million)
% 5.23/1.06 % (951738)------------------------------
% 5.23/1.06 % (951738)------------------------------
% 5.23/1.06 % (951741)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 5.23/1.06 % (951741)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2119099410:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 5.23/1.06 % (951741)Instruction limit reached!
% 5.23/1.06 % (951741)------------------------------
% 5.23/1.06 % (951741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.06 % (951741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.06 % (951741)CaDiCaL version: 2.1.3
% 5.23/1.06 % (951741)Termination reason: Instruction limit
% 5.23/1.06 % (951741)Termination phase: Saturation
% 5.23/1.06 % (951741)Time elapsed: 0.005 s
% 5.23/1.06 % (951741)Peak memory usage: 12 MB
% 5.23/1.06 % (951741)Instructions burned: 7 (million)
% 5.23/1.06 % (951719)Instruction limit reached!
% 5.23/1.06 % (951719)------------------------------
% 5.23/1.06 % (951719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.06 % (951719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.06 % (951719)CaDiCaL version: 2.1.3
% 5.23/1.06 % (951719)Termination reason: Instruction limit
% 5.23/1.06 % (951719)Termination phase: Saturation
% 5.23/1.06 % (951719)Time elapsed: 0.132 s
% 5.23/1.06 % (951719)Peak memory usage: 13 MB
% 5.23/1.06 % (951719)Instructions burned: 144 (million)
% 5.23/1.06 % (951745)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1180099998:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 5.23/1.06 % (951682)Instruction limit reached!
% 5.23/1.06 % (951682)------------------------------
% 5.23/1.06 % (951682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.06 % (951682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.06 % (951682)CaDiCaL version: 2.1.3
% 5.23/1.06 % (951682)Termination reason: Instruction limit
% 5.23/1.06 % (951682)Termination phase: Saturation
% 5.23/1.06 % (951682)Time elapsed: 0.291 s
% 5.23/1.06 % (951682)Peak memory usage: 13 MB
% 5.23/1.06 % (951682)Instructions burned: 328 (million)
% 5.23/1.06 % (951745)Instruction limit reached!
% 5.23/1.06 % (951745)------------------------------
% 5.23/1.06 % (951745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.06 % (951745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.06 % (951745)CaDiCaL version: 2.1.3
% 5.23/1.06 % (951745)Termination reason: Instruction limit
% 5.23/1.06 % (951745)Termination phase: Saturation
% 5.23/1.06 % (951745)Time elapsed: 0.014 s
% 5.23/1.06 % (951745)Peak memory usage: 12 MB
% 5.23/1.06 % (951745)Instructions burned: 22 (million)
% 5.23/1.06 % (951748)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3522953426:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.23/1.06 % (951731)Instruction limit reached!
% 5.23/1.06 % (951731)------------------------------
% 5.23/1.06 % (951731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.06 % (951731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.06 % (951731)CaDiCaL version: 2.1.3
% 5.23/1.06 % (951731)Termination reason: Instruction limit
% 5.23/1.06 % (951731)Termination phase: Saturation
% 5.23/1.06 % (951731)Time elapsed: 0.140 s
% 5.23/1.06 % (951731)Peak memory usage: 13 MB
% 5.23/1.06 % (951731)Instructions burned: 181 (million)
% 5.23/1.06 % (951721)Instruction limit reached!
% 5.23/1.06 % (951721)------------------------------
% 5.23/1.06 % (951721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951721)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951721)Termination reason: Instruction limit
% 5.23/1.11 % (951721)Termination phase: Saturation
% 5.23/1.11 % (951721)Time elapsed: 0.177 s
% 5.23/1.11 % (951721)Peak memory usage: 13 MB
% 5.23/1.11 % (951721)Instructions burned: 193 (million)
% 5.23/1.11 % (951750)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=1668447783:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.23/1.11 % (951748)Refutation not found, incomplete strategy
% 5.23/1.11 % (951748)------------------------------
% 5.23/1.11 % (951748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951748)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951748)Termination reason: Refutation not found, incomplete strategy
% 5.23/1.11 % (951748)Time elapsed: 0.008 s
% 5.23/1.11 % (951748)Peak memory usage: 12 MB
% 5.23/1.11 % (951748)Instructions burned: 5 (million)
% 5.23/1.11 % (951748)------------------------------
% 5.23/1.11 % (951748)------------------------------
% 5.23/1.11 % (951751)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=1162880353: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)
% 5.23/1.11 % (951756)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=20587691: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)
% 5.23/1.11 % (951757)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2909399842:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 5.23/1.11 % (951758)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2651738913:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 5.23/1.11 % (951758)Instruction limit reached!
% 5.23/1.11 % (951758)------------------------------
% 5.23/1.11 % (951758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951758)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951758)Termination reason: Instruction limit
% 5.23/1.11 % (951758)Termination phase: Saturation
% 5.23/1.11 % (951758)Time elapsed: 0.021 s
% 5.23/1.11 % (951758)Peak memory usage: 12 MB
% 5.23/1.11 % (951758)Instructions burned: 21 (million)
% 5.23/1.11 % (951756)Instruction limit reached!
% 5.23/1.11 % (951756)------------------------------
% 5.23/1.11 % (951756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951756)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951756)Termination reason: Instruction limit
% 5.23/1.11 % (951756)Termination phase: Saturation
% 5.23/1.11 % (951756)Time elapsed: 0.043 s
% 5.23/1.11 % (951756)Peak memory usage: 12 MB
% 5.23/1.11 % (951756)Instructions burned: 45 (million)
% 5.23/1.11 % (951771)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.23/1.11 % (951771)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2925795759:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.23/1.11 % (951772)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3139496470:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 5.23/1.11 % (951647)Instruction limit reached!
% 5.23/1.11 % (951647)------------------------------
% 5.23/1.11 % (951647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951647)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951647)Termination reason: Instruction limit
% 5.23/1.11 % (951647)Termination phase: Saturation
% 5.23/1.11 % (951647)Time elapsed: 0.552 s
% 5.23/1.11 % (951647)Peak memory usage: 14 MB
% 5.23/1.11 % (951647)Instructions burned: 634 (million)
% 5.23/1.11 % (951772)Instruction limit reached!
% 5.23/1.11 % (951772)------------------------------
% 5.23/1.11 % (951772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951772)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951772)Termination reason: Instruction limit
% 5.23/1.11 % (951772)Termination phase: Saturation
% 5.23/1.11 % (951772)Time elapsed: 0.014 s
% 5.23/1.11 % (951772)Peak memory usage: 12 MB
% 5.23/1.11 % (951772)Instructions burned: 14 (million)
% 5.23/1.11 % (951777)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=416129624:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.23/1.11 % (951778)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2385554625:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.23/1.11 % (951778)Refutation not found, incomplete strategy
% 5.23/1.11 % (951778)------------------------------
% 5.23/1.11 % (951778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951778)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951778)Termination reason: Refutation not found, incomplete strategy
% 5.23/1.11 % (951778)Time elapsed: 0.005 s
% 5.23/1.11 % (951778)Peak memory usage: 12 MB
% 5.23/1.11 % (951778)Instructions burned: 4 (million)
% 5.23/1.11 % (951778)------------------------------
% 5.23/1.11 % (951778)------------------------------
% 5.23/1.11 % (951784)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2594555549:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.23/1.11 % (951777)Instruction limit reached!
% 5.23/1.11 % (951777)------------------------------
% 5.23/1.11 % (951777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951777)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951777)Termination reason: Instruction limit
% 5.23/1.11 % (951777)Termination phase: Saturation
% 5.23/1.11 % (951777)Time elapsed: 0.050 s
% 5.23/1.11 % (951777)Peak memory usage: 13 MB
% 5.23/1.11 % (951777)Instructions burned: 66 (million)
% 5.23/1.11 % (951784)Instruction limit reached!
% 5.23/1.11 % (951784)------------------------------
% 5.23/1.11 % (951784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951784)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951784)Termination reason: Instruction limit
% 5.23/1.11 % (951784)Termination phase: Saturation
% 5.23/1.11 % (951784)Time elapsed: 0.029 s
% 5.23/1.11 % (951784)Peak memory usage: 12 MB
% 5.23/1.11 % (951784)Instructions burned: 32 (million)
% 5.23/1.11 % (951790)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1357219650:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.23/1.11 % (951750)Instruction limit reached!
% 5.23/1.11 % (951750)------------------------------
% 5.23/1.11 % (951750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951750)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951750)Termination reason: Instruction limit
% 5.23/1.11 % (951750)Termination phase: Saturation
% 5.23/1.11 % (951750)Time elapsed: 0.225 s
% 5.23/1.11 % (951750)Peak memory usage: 14 MB
% 5.23/1.11 % (951750)Instructions burned: 316 (million)
% 5.23/1.11 % (951792)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=122202486:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.23/1.11 % (951793)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3963185600:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 5.23/1.11 % (951771)Instruction limit reached!
% 5.23/1.11 % (951771)------------------------------
% 5.23/1.11 % (951771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951771)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951771)Termination reason: Instruction limit
% 5.23/1.11 % (951771)Termination phase: Saturation
% 5.23/1.11 % (951771)Time elapsed: 0.177 s
% 5.23/1.11 % (951771)Peak memory usage: 13 MB
% 5.23/1.11 % (951771)Instructions burned: 200 (million)
% 5.23/1.11 % (951792)Instruction limit reached!
% 5.23/1.11 % (951792)------------------------------
% 5.23/1.11 % (951792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951792)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951792)Termination reason: Instruction limit
% 5.23/1.11 % (951792)Termination phase: Saturation
% 5.23/1.11 % (951792)Time elapsed: 0.034 s
% 5.23/1.11 % (951792)Peak memory usage: 12 MB
% 5.23/1.11 % (951792)Instructions burned: 35 (million)
% 5.23/1.11 % (951800)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.23/1.11 % (951751) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-951639-951751"...
% 5.23/1.11 % (951800)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3876937211:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 5.23/1.11 % (951751)...printing done.
% 5.23/1.11 % (951751)Refutation found. Thanks to Tanya!
% 5.23/1.11 % SZS status Theorem for theBenchmark
% 5.23/1.11 % SZS output start Proof for theBenchmark
% 5.23/1.11 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 5.23/1.11 thf(type_def_6, type, sK0: $tType).
% 5.23/1.11 thf(type_def_7, type, sK1: $tType).
% 5.23/1.11 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:((X0 > X0))).
% 5.23/1.11 thf(func_def_1, type, 'const/sets/UNIONS': !>[X0: $tType]:((((X0 > $o) > $o) > X0 > $o))).
% 5.23/1.11 thf(func_def_2, type, 'const/sets/SUBSET': !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 5.23/1.11 thf(func_def_3, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 5.23/1.11 thf(func_def_4, type, 'const/sets/IMAGE': !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > X1 > $o))).
% 5.23/1.11 thf(func_def_8, type, sK2: (sK1 > sK0 > $o)).
% 5.23/1.11 thf(func_def_9, type, sK3: (sK1 > sK0 > $o)).
% 5.23/1.11 thf(func_def_10, type, sK4: (sK1 > $o)).
% 5.23/1.11 thf(func_def_11, type, sK5: !>[X0: $tType]:((((X0 > $o) > $o) > X0 > X0 > $o))).
% 5.23/1.11 thf(func_def_12, type, sK6: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 5.23/1.11 thf(func_def_13, type, sK7: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X1 > X0))).
% 5.23/1.11 thf(func_def_14, type, vNOT: ($o > $o)).
% 5.23/1.11 thf(f3,axiom,(
% 5.23/1.11 ! [X0 : $tType,X1 : $tType,X4 : (X1 > X0),X3 : (X1 > $o),X2 : X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X4 @ X3))) = ? [X5 : X1] : ((X2 = ((X4 @ X5))) & ('const/sets/IN' @ X1 @ X5 @ X3)))),
% 5.23/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/IN_IMAGE_')).
% 5.23/1.11 thf(f4,axiom,(
% 5.23/1.11 ! [X0 : $tType,X2 : X0,X1 : ((X0 > $o) > $o)] : (? [X3 : (X0 > $o)] : (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) & ('const/sets/IN' @ X0 @ X2 @ X3)) = (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1))))),
% 5.23/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/IN_UNIONS_')).
% 5.23/1.11 thf(f5,axiom,(
% 5.23/1.11 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2)) = ! [X3 : X0] : (('const/sets/IN' @ X0 @ X3 @ X1) => ('const/sets/IN' @ X0 @ X3 @ X2)))),
% 5.23/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUBSET_')).
% 5.23/1.11 thf(f6,conjecture,(
% 5.23/1.11 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0 > $o),X3 : (X1 > X0 > $o),X4 : (X1 > $o)] : (! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X4) => ('const/sets/SUBSET' @ X0 @ (X2 @ X5) @ (X3 @ X5))) => ('const/sets/SUBSET' @ X0 @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X2 @ X4)) @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X3 @ X4))))),
% 5.23/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/UNIONS_MONO_IMAGE_')).
% 5.23/1.11 thf(f7,negated_conjecture,(
% 5.23/1.11 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0 > $o),X3 : (X1 > X0 > $o),X4 : (X1 > $o)] : (! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X4) => ('const/sets/SUBSET' @ X0 @ (X2 @ X5) @ (X3 @ X5))) => ('const/sets/SUBSET' @ X0 @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X2 @ X4)) @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X3 @ X4))))),
% 5.23/1.11 inference(negated_conjecture,[status(cth)],[f6])).
% 5.23/1.11 thf(f8,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0),X3 : (X1 > $o),X4 : X0] : ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X3))) = ? [X5 : X1] : ((((X2 @ X5)) = X4) & ('const/sets/IN' @ X1 @ X5 @ X3)))),
% 5.23/1.11 inference(rectify,[],[f3])).
% 5.23/1.11 thf(f9,plain,(
% 5.23/1.11 ! [X1 : $tType,X0 : $tType,X4 : X0,X2 : (X1 > X0),X3 : (X1 > $o)] : (($true = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X3)))) <=> ? [X5 : X1] : (((('const/sets/IN' @ X1 @ X5 @ X3)) = $true) & (((X2 @ X5)) = X4)))),
% 5.23/1.11 inference(fool_elimination,[],[f8])).
% 5.23/1.11 thf(f10,plain,(
% 5.23/1.11 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0 > $o),X3 : (X1 > X0 > $o),X4 : (X1 > $o)] : (! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X4) => ('const/sets/SUBSET' @ X0 @ (X2 @ X5) @ (X3 @ X5))) => ('const/sets/SUBSET' @ X0 @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X2 @ X4)) @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X3 @ X4))))),
% 5.23/1.11 inference(rectify,[],[f7])).
% 5.23/1.11 thf(f11,plain,(
% 5.23/1.11 ~ ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0 > $o),X4 : (X1 > $o),X3 : (X1 > X0 > $o)] : (! [X5 : X1] : (((('const/sets/IN' @ X1 @ X5 @ X4)) = $true) => ((('const/sets/SUBSET' @ X0 @ (X2 @ X5) @ (X3 @ X5))) = $true)) => ((('const/sets/SUBSET' @ X0 @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X2 @ X4)) @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X3 @ X4)))) = $true))),
% 5.23/1.11 inference(fool_elimination,[],[f10])).
% 5.23/1.11 thf(f12,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : X0,X2 : ((X0 > $o) > $o)] : (? [X3 : (X0 > $o)] : (('const/sets/IN' @ (X0 > $o) @ X3 @ X2) & ('const/sets/IN' @ X0 @ X1 @ X3)) = (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2))))),
% 5.23/1.11 inference(rectify,[],[f4])).
% 5.23/1.11 thf(f13,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : X0,X2 : ((X0 > $o) > $o)] : (? [X3 : (X0 > $o)] : (((('const/sets/IN' @ X0 @ X1 @ X3)) = $true) & ($true = (('const/sets/IN' @ (X0 > $o) @ X3 @ X2)))) <=> ($true = (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))))),
% 5.23/1.11 inference(fool_elimination,[],[f12])).
% 5.23/1.11 thf(f14,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((('const/sets/SUBSET' @ X0 @ X2 @ X1)) = ! [X3 : X0] : (('const/sets/IN' @ X0 @ X3 @ X2) => ('const/sets/IN' @ X0 @ X3 @ X1)))),
% 5.23/1.11 inference(rectify,[],[f5])).
% 5.23/1.11 thf(f15,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (($true = (('const/sets/SUBSET' @ X0 @ X2 @ X1))) <=> ! [X3 : X0] : (((('const/sets/IN' @ X0 @ X3 @ X2)) = $true) => ((('const/sets/IN' @ X0 @ X3 @ X1)) = $true)))),
% 5.23/1.11 inference(fool_elimination,[],[f14])).
% 5.23/1.11 thf(f17,plain,(
% 5.23/1.11 ? [X0 : $tType,X1 : $tType,X2 : (X1 > X0 > $o),X3 : (X1 > X0 > $o),X4 : (X1 > $o)] : (((('const/sets/SUBSET' @ X0 @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X2 @ X4)) @ ('const/sets/UNIONS' @ X0 @ ('const/sets/IMAGE' @ X1 @ (X0 > $o) @ X3 @ X4)))) != $true) & ! [X5 : X1] : (((('const/sets/SUBSET' @ X0 @ (X2 @ X5) @ (X3 @ X5))) = $true) | ((('const/sets/IN' @ X1 @ X5 @ X4)) != $true)))),
% 5.23/1.11 inference(ennf_transformation,[],[f11])).
% 5.23/1.11 thf(f18,plain,(
% 5.23/1.11 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (! [X3 : X0] : (((('const/sets/IN' @ X0 @ X3 @ X1)) = $true) | ((('const/sets/IN' @ X0 @ X3 @ X2)) != $true)) <=> ($true = (('const/sets/SUBSET' @ X0 @ X2 @ X1))))),
% 5.23/1.11 inference(ennf_transformation,[],[f15])).
% 5.23/1.11 thf(f19,plain,(
% 5.23/1.11 ($true != (('const/sets/SUBSET' @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4))))) & ! [X5 : sK1] : (($true = (('const/sets/SUBSET' @ sK0 @ (sK2 @ X5) @ (sK3 @ X5)))) | ((('const/sets/IN' @ sK1 @ X5 @ sK4)) != $true))),
% 5.23/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f17])).
% 5.23/1.11 thf(f20,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : X0,X2 : ((X0 > $o) > $o)] : ((? [X3 : (X0 > $o)] : (((('const/sets/IN' @ X0 @ X1 @ X3)) = $true) & ($true = (('const/sets/IN' @ (X0 > $o) @ X3 @ X2)))) | ($true != (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2))))) & (($true = (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))) | ! [X3 : (X0 > $o)] : (((('const/sets/IN' @ X0 @ X1 @ X3)) != $true) | ($true != (('const/sets/IN' @ (X0 > $o) @ X3 @ X2))))))),
% 5.23/1.11 inference(nnf_transformation,[],[f13])).
% 5.23/1.11 thf(f21,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : X0,X2 : ((X0 > $o) > $o)] : ((? [X3 : (X0 > $o)] : (((('const/sets/IN' @ X0 @ X1 @ X3)) = $true) & ($true = (('const/sets/IN' @ (X0 > $o) @ X3 @ X2)))) | ($true != (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2))))) & (($true = (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))) | ! [X4 : (X0 > $o)] : (($true != (('const/sets/IN' @ X0 @ X1 @ X4))) | ($true != (('const/sets/IN' @ (X0 > $o) @ X4 @ X2))))))),
% 5.23/1.11 inference(rectify,[],[f20])).
% 5.23/1.11 thf(f22,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : X0,X2 : ((X0 > $o) > $o)] : (((($true = (('const/sets/IN' @ X0 @ X1 @ (sK5 @ X0 @ X2 @ X1)))) & ($true = (('const/sets/IN' @ (X0 > $o) @ (sK5 @ X0 @ X2 @ X1) @ X2)))) | ($true != (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2))))) & (($true = (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))) | ! [X4 : (X0 > $o)] : (($true != (('const/sets/IN' @ X0 @ X1 @ X4))) | ($true != (('const/sets/IN' @ (X0 > $o) @ X4 @ X2))))))),
% 5.23/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK5 @ X0 @ X2 @ X1)],[f21])).
% 5.23/1.11 thf(f23,plain,(
% 5.23/1.11 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : ((! [X3 : X0] : (((('const/sets/IN' @ X0 @ X3 @ X1)) = $true) | ((('const/sets/IN' @ X0 @ X3 @ X2)) != $true)) | ($true != (('const/sets/SUBSET' @ X0 @ X2 @ X1)))) & (($true = (('const/sets/SUBSET' @ X0 @ X2 @ X1))) | ? [X3 : X0] : (((('const/sets/IN' @ X0 @ X3 @ X1)) != $true) & ((('const/sets/IN' @ X0 @ X3 @ X2)) = $true))))),
% 5.23/1.11 inference(nnf_transformation,[],[f18])).
% 5.23/1.11 thf(f24,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((! [X3 : X0] : (((('const/sets/IN' @ X0 @ X3 @ X2)) = $true) | ((('const/sets/IN' @ X0 @ X3 @ X1)) != $true)) | ((('const/sets/SUBSET' @ X0 @ X1 @ X2)) != $true)) & (((('const/sets/SUBSET' @ X0 @ X1 @ X2)) = $true) | ? [X4 : X0] : (($true != (('const/sets/IN' @ X0 @ X4 @ X2))) & ((('const/sets/IN' @ X0 @ X4 @ X1)) = $true))))),
% 5.23/1.11 inference(rectify,[],[f23])).
% 5.23/1.11 thf(f25,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((! [X3 : X0] : (((('const/sets/IN' @ X0 @ X3 @ X2)) = $true) | ((('const/sets/IN' @ X0 @ X3 @ X1)) != $true)) | ((('const/sets/SUBSET' @ X0 @ X1 @ X2)) != $true)) & (((('const/sets/SUBSET' @ X0 @ X1 @ X2)) = $true) | (($true != (('const/sets/IN' @ X0 @ (sK6 @ X0 @ X2 @ X1) @ X2))) & ($true = (('const/sets/IN' @ X0 @ (sK6 @ X0 @ X2 @ X1) @ X1))))))),
% 5.23/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK5 @ X0 @ X2 @ X1)],[f24])).
% 5.23/1.11 thf(f26,plain,(
% 5.23/1.11 ! [X1 : $tType,X0 : $tType,X4 : X0,X2 : (X1 > X0),X3 : (X1 > $o)] : ((($true = (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X3)))) | ! [X5 : X1] : (((('const/sets/IN' @ X1 @ X5 @ X3)) != $true) | (((X2 @ X5)) != X4))) & (? [X5 : X1] : (((('const/sets/IN' @ X1 @ X5 @ X3)) = $true) & (((X2 @ X5)) = X4)) | ($true != (('const/sets/IN' @ X0 @ X4 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X3))))))),
% 5.23/1.11 inference(nnf_transformation,[],[f9])).
% 5.23/1.11 thf(f27,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : (X0 > X1),X4 : (X0 > $o)] : ((($true = (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4)))) | ! [X5 : X0] : (($true != (('const/sets/IN' @ X0 @ X5 @ X4))) | (((X3 @ X5)) != X2))) & (? [X6 : X0] : (($true = (('const/sets/IN' @ X0 @ X6 @ X4))) & (((X3 @ X6)) = X2)) | ($true != (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4))))))),
% 5.23/1.11 inference(rectify,[],[f26])).
% 5.23/1.11 thf(f28,plain,(
% 5.23/1.11 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : (X0 > X1),X4 : (X0 > $o)] : ((($true = (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4)))) | ! [X5 : X0] : (($true != (('const/sets/IN' @ X0 @ X5 @ X4))) | (((X3 @ X5)) != X2))) & ((($true = (('const/sets/IN' @ X0 @ (sK7 @ X0 @ X1 @ X4 @ X3 @ X2) @ X4))) & (((X3 @ (sK7 @ X0 @ X1 @ X4 @ X3 @ X2))) = X2)) | ($true != (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4))))))),
% 5.23/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK5 @ X0 @ X2 @ X1)],[f27])).
% 5.23/1.11 thf(f29,plain,(
% 5.23/1.11 ( ! [X5 : sK1] : (((('const/sets/IN' @ sK1 @ X5 @ sK4)) != $true) | ($true = (('const/sets/SUBSET' @ sK0 @ (sK2 @ X5) @ (sK3 @ X5))))) )),
% 5.23/1.11 inference(cnf_transformation,[],[f19])).
% 5.23/1.11 thf(f30,plain,(
% 5.23/1.11 ($true != (('const/sets/SUBSET' @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)))))),
% 5.23/1.11 inference(cnf_transformation,[],[f19])).
% 5.23/1.11 thf(f31,plain,(
% 5.23/1.11 ( ! [X0 : $tType,X2 : ((X0 > $o) > $o),X1 : X0,X4 : (X0 > $o)] : (($true != (('const/sets/IN' @ (X0 > $o) @ X4 @ X2))) | ($true = (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))) | ($true != (('const/sets/IN' @ X0 @ X1 @ X4)))) )),
% 5.23/1.11 inference(cnf_transformation,[],[f22])).
% 5.23/1.11 thf(f32,plain,(
% 5.23/1.11 ( ! [X0 : $tType,X2 : ((X0 > $o) > $o),X1 : X0] : (($true != (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))) | ($true = (('const/sets/IN' @ (X0 > $o) @ (sK5 @ X0 @ X2 @ X1) @ X2)))) )),
% 5.23/1.11 inference(cnf_transformation,[],[f22])).
% 5.23/1.11 thf(f33,plain,(
% 5.23/1.11 ( ! [X0 : $tType,X2 : ((X0 > $o) > $o),X1 : X0] : (($true != (('const/sets/IN' @ X0 @ X1 @ ('const/sets/UNIONS' @ X0 @ X2)))) | ($true = (('const/sets/IN' @ X0 @ X1 @ (sK5 @ X0 @ X2 @ X1))))) )),
% 5.23/1.11 inference(cnf_transformation,[],[f22])).
% 5.23/1.11 thf(f34,plain,(
% 5.23/1.11 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/SUBSET' @ X0 @ X1 @ X2)) = $true) | ($true = (('const/sets/IN' @ X0 @ (sK6 @ X0 @ X2 @ X1) @ X1)))) )),
% 5.23/1.11 inference(cnf_transformation,[],[f25])).
% 5.23/1.11 thf(f35,plain,(
% 5.23/1.11 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true != (('const/sets/IN' @ X0 @ (sK6 @ X0 @ X2 @ X1) @ X2))) | ((('const/sets/SUBSET' @ X0 @ X1 @ X2)) = $true)) )),
% 5.23/1.11 inference(cnf_transformation,[],[f25])).
% 5.23/1.11 thf(f36,plain,(
% 5.23/1.11 ( ! [X0 : $tType,X2 : (X0 > $o),X3 : X0,X1 : (X0 > $o)] : (((('const/sets/SUBSET' @ X0 @ X1 @ X2)) != $true) | ((('const/sets/IN' @ X0 @ X3 @ X2)) = $true) | ((('const/sets/IN' @ X0 @ X3 @ X1)) != $true)) )),
% 5.23/1.11 inference(cnf_transformation,[],[f25])).
% 5.23/1.11 thf(f38,plain,(
% 5.23/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X0 > X1),X4 : (X0 > $o)] : (($true != (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4)))) | (((X3 @ (sK7 @ X0 @ X1 @ X4 @ X3 @ X2))) = X2)) )),
% 5.23/1.11 inference(cnf_transformation,[],[f28])).
% 5.23/1.11 thf(f39,plain,(
% 5.23/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X0 > X1),X4 : (X0 > $o)] : (($true != (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4)))) | ($true = (('const/sets/IN' @ X0 @ (sK7 @ X0 @ X1 @ X4 @ X3 @ X2) @ X4)))) )),
% 5.23/1.11 inference(cnf_transformation,[],[f28])).
% 5.23/1.11 thf(f40,plain,(
% 5.23/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X0 > X1),X4 : (X0 > $o),X5 : X0] : (($true = (('const/sets/IN' @ X1 @ X2 @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4)))) | ($true != (('const/sets/IN' @ X0 @ X5 @ X4))) | (((X3 @ X5)) != X2)) )),
% 5.23/1.11 inference(cnf_transformation,[],[f28])).
% 5.23/1.11 thf(f44,plain,(
% 5.23/1.11 ( ! [X1 : $tType,X0 : $tType,X3 : (X0 > X1),X4 : (X0 > $o),X5 : X0] : (($true != (('const/sets/IN' @ X0 @ X5 @ X4))) | ($true = (('const/sets/IN' @ X1 @ (X3 @ X5) @ ('const/sets/IMAGE' @ X0 @ X1 @ X3 @ X4))))) )),
% 5.23/1.11 inference(equality_resolution,[],[f40])).
% 5.23/1.11 thf(f48,definition,(
% 5.23/1.11 spl8_1 <=> ($true = (('const/sets/SUBSET' @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition])).
% 5.23/1.11 thf(f50,plain,(
% 5.23/1.11 ($true != (('const/sets/SUBSET' @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4))))) | spl8_1),
% 5.23/1.11 inference(avatar_component_clause,[],[f48])).
% 5.23/1.11 thf(f51,plain,(
% 5.23/1.11 ~spl8_1),
% 5.23/1.11 inference(avatar_split_clause,[],[f30,f48])).
% 5.23/1.11 thf(f53,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) | spl8_1),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f34,f50])).
% 5.23/1.11 thf(f57,definition,(
% 5.23/1.11 spl8_2 <=> ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition])).
% 5.23/1.11 thf(f59,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) | ~spl8_2),
% 5.23/1.11 inference(avatar_component_clause,[],[f57])).
% 5.23/1.11 thf(f60,plain,(
% 5.23/1.11 spl8_2 | spl8_1),
% 5.23/1.11 inference(avatar_split_clause,[],[f53,f48,f57])).
% 5.23/1.11 thf(f61,plain,(
% 5.23/1.11 ($true != (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4))))) | spl8_1),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f35,f50])).
% 5.23/1.11 thf(f63,definition,(
% 5.23/1.11 spl8_3 <=> ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])).
% 5.23/1.11 thf(f65,plain,(
% 5.23/1.11 ($true != (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4))))) | spl8_3),
% 5.23/1.11 inference(avatar_component_clause,[],[f63])).
% 5.23/1.11 thf(f66,plain,(
% 5.23/1.11 ~spl8_3 | spl8_1),
% 5.23/1.11 inference(avatar_split_clause,[],[f61,f48,f63])).
% 5.23/1.11 thf(f70,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))) | ~spl8_2),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f33,f59])).
% 5.23/1.11 thf(f74,definition,(
% 5.23/1.11 spl8_4 <=> ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])).
% 5.23/1.11 thf(f76,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))) | ~spl8_4),
% 5.23/1.11 inference(avatar_component_clause,[],[f74])).
% 5.23/1.11 thf(f77,plain,(
% 5.23/1.11 spl8_4 | ~spl8_2),
% 5.23/1.11 inference(avatar_split_clause,[],[f70,f57,f74])).
% 5.23/1.11 thf(f84,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ (sK0 > $o) @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) | ~spl8_2),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f32,f59])).
% 5.23/1.11 thf(f88,definition,(
% 5.23/1.11 spl8_6 <=> ($true = (('const/sets/IN' @ (sK0 > $o) @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition])).
% 5.23/1.11 thf(f90,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ (sK0 > $o) @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) | ~spl8_6),
% 5.23/1.11 inference(avatar_component_clause,[],[f88])).
% 5.23/1.11 thf(f91,plain,(
% 5.23/1.11 spl8_6 | ~spl8_2),
% 5.23/1.11 inference(avatar_split_clause,[],[f84,f57,f88])).
% 5.23/1.11 thf(f97,plain,(
% 5.23/1.11 ($true != $true) | ($true = (('const/sets/IN' @ sK1 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) @ sK4))) | ~spl8_6),
% 5.23/1.11 inference(superposition,[],[f39,f90])).
% 5.23/1.11 thf(f99,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK1 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) @ sK4))) | ~spl8_6),
% 5.23/1.11 inference(trivial_inequality_removal,[],[f97])).
% 5.23/1.11 thf(f103,definition,(
% 5.23/1.11 spl8_7 <=> ($true = (('const/sets/IN' @ sK1 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) @ sK4)))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition])).
% 5.23/1.11 thf(f105,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK1 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) @ sK4))) | ~spl8_7),
% 5.23/1.11 inference(avatar_component_clause,[],[f103])).
% 5.23/1.11 thf(f106,plain,(
% 5.23/1.11 spl8_7 | ~spl8_6),
% 5.23/1.11 inference(avatar_split_clause,[],[f99,f88,f103])).
% 5.23/1.11 thf(f141,plain,(
% 5.23/1.11 ((('const/sets/SUBSET' @ sK0 @ (sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))) = $true) | ~spl8_7),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f29,f105])).
% 5.23/1.11 thf(f147,definition,(
% 5.23/1.11 spl8_11 <=> ((('const/sets/SUBSET' @ sK0 @ (sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))) = $true)),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition])).
% 5.23/1.11 thf(f149,plain,(
% 5.23/1.11 ((('const/sets/SUBSET' @ sK0 @ (sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))) = $true) | ~spl8_11),
% 5.23/1.11 inference(avatar_component_clause,[],[f147])).
% 5.23/1.11 thf(f150,plain,(
% 5.23/1.11 spl8_11 | ~spl8_7),
% 5.23/1.11 inference(avatar_split_clause,[],[f141,f103,f147])).
% 5.23/1.11 thf(f1073,plain,(
% 5.23/1.11 ($true != $true) | (((sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) = ((sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))) | ~spl8_6),
% 5.23/1.11 inference(superposition,[],[f38,f90])).
% 5.23/1.11 thf(f1121,plain,(
% 5.23/1.11 (((sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) = ((sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))) | ~spl8_6),
% 5.23/1.11 inference(trivial_inequality_removal,[],[f1073])).
% 5.23/1.11 thf(f1136,definition,(
% 5.23/1.11 spl8_52 <=> (((sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) = ((sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_52])],[avatar_definition])).
% 5.23/1.11 thf(f1138,plain,(
% 5.23/1.11 (((sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) = ((sK2 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))) | ~spl8_52),
% 5.23/1.11 inference(avatar_component_clause,[],[f1136])).
% 5.23/1.11 thf(f1139,plain,(
% 5.23/1.11 spl8_52 | ~spl8_6),
% 5.23/1.11 inference(avatar_split_clause,[],[f1121,f88,f1136])).
% 5.23/1.11 thf(f1145,plain,(
% 5.23/1.11 ($true = (('const/sets/SUBSET' @ sK0 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))))) | (~spl8_11 | ~spl8_52)),
% 5.23/1.11 inference(backward_demodulation,[],[f149,f1138])).
% 5.23/1.11 thf(f1150,definition,(
% 5.23/1.11 spl8_54 <=> ($true = (('const/sets/SUBSET' @ sK0 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_54])],[avatar_definition])).
% 5.23/1.11 thf(f1152,plain,(
% 5.23/1.11 ($true = (('const/sets/SUBSET' @ sK0 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))))) | ~spl8_54),
% 5.23/1.11 inference(avatar_component_clause,[],[f1150])).
% 5.23/1.11 thf(f1153,plain,(
% 5.23/1.11 spl8_54 | ~spl8_11 | ~spl8_52),
% 5.23/1.11 inference(avatar_split_clause,[],[f1145,f1136,f147,f1150])).
% 5.23/1.11 thf(f1164,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))))) | (~spl8_4 | ~spl8_54)),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f36,f76,f1152])).
% 5.23/1.11 thf(f1174,definition,(
% 5.23/1.11 spl8_56 <=> ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_56])],[avatar_definition])).
% 5.23/1.11 thf(f1176,plain,(
% 5.23/1.11 ($true = (('const/sets/IN' @ sK0 @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))))))) | ~spl8_56),
% 5.23/1.11 inference(avatar_component_clause,[],[f1174])).
% 5.23/1.11 thf(f1177,plain,(
% 5.23/1.11 spl8_56 | ~spl8_4 | ~spl8_54),
% 5.23/1.11 inference(avatar_split_clause,[],[f1164,f1150,f74,f1174])).
% 5.23/1.11 thf(f1220,plain,(
% 5.23/1.11 ($true != (('const/sets/IN' @ (sK0 > $o) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))) @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)))) | (spl8_3 | ~spl8_56)),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f31,f65,f1176])).
% 5.23/1.11 thf(f1248,definition,(
% 5.23/1.11 spl8_63 <=> ($true = (('const/sets/IN' @ (sK0 > $o) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))) @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4))))),
% 5.23/1.11 introduced(definition,[new_symbols(definition,[spl8_63])],[avatar_definition])).
% 5.23/1.11 thf(f1250,plain,(
% 5.23/1.11 ($true != (('const/sets/IN' @ (sK0 > $o) @ (sK3 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4)))))) @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)))) | spl8_63),
% 5.23/1.11 inference(avatar_component_clause,[],[f1248])).
% 5.23/1.11 thf(f1251,plain,(
% 5.23/1.11 ~spl8_63 | spl8_3 | ~spl8_56),
% 5.23/1.11 inference(avatar_split_clause,[],[f1220,f1174,f63,f1248])).
% 5.23/1.11 thf(f1366,plain,(
% 5.23/1.11 ($true != (('const/sets/IN' @ sK1 @ (sK7 @ sK1 @ (sK0 > $o) @ sK4 @ sK2 @ (sK5 @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4) @ (sK6 @ sK0 @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK3 @ sK4)) @ ('const/sets/UNIONS' @ sK0 @ ('const/sets/IMAGE' @ sK1 @ (sK0 > $o) @ sK2 @ sK4))))) @ sK4))) | spl8_63),
% 5.23/1.11 inference(unit_resulting_resolution,[],[f44,f1250])).
% 5.23/1.11 thf(f1369,plain,(
% 5.23/1.11 $false | (~spl8_7 | spl8_63)),
% 5.23/1.11 inference(forward_subsumption_resolution,[],[f1366,f105])).
% 5.23/1.11 thf(f1370,plain,(
% 5.23/1.11 ~spl8_7 | spl8_63),
% 5.23/1.11 inference(avatar_contradiction_clause,[],[f1369])).
% 5.23/1.11 cnf(s1, plain, ~spl8_1, inference(sat_conversion,[],[f51])).
% 5.23/1.11 cnf(s2, plain, spl8_1 | spl8_2, inference(sat_conversion,[],[f60])).
% 5.23/1.11 cnf(s4, plain, spl8_1 | ~spl8_3, inference(sat_conversion,[],[f66])).
% 5.23/1.11 cnf(s5, plain, ~spl8_2 | spl8_4, inference(sat_conversion,[],[f77])).
% 5.23/1.11 cnf(s8, plain, ~spl8_2 | spl8_6, inference(sat_conversion,[],[f91])).
% 5.23/1.11 cnf(s10, plain, ~spl8_6 | spl8_7, inference(sat_conversion,[],[f106])).
% 5.23/1.11 cnf(s15, plain, ~spl8_7 | spl8_11, inference(sat_conversion,[],[f150])).
% 5.23/1.11 cnf(s87, plain, ~spl8_6 | spl8_52, inference(sat_conversion,[],[f1139])).
% 5.23/1.11 cnf(s91, plain, ~spl8_11 | ~spl8_52 | spl8_54, inference(sat_conversion,[],[f1153])).
% 5.23/1.11 cnf(s94, plain, ~spl8_4 | ~spl8_54 | spl8_56, inference(sat_conversion,[],[f1177])).
% 5.23/1.11 cnf(s103, plain, spl8_3 | ~spl8_56 | ~spl8_63, inference(sat_conversion,[],[f1251])).
% 5.23/1.11 cnf(s125, plain, ~spl8_7 | spl8_63, inference(sat_conversion,[],[f1370])).
% 5.23/1.11 cnf(s126, plain, ~spl8_3, inference(rat,[],[s4,s1])).
% 5.23/1.11 cnf(s127, plain, spl8_2, inference(rat,[],[s2,s1])).
% 5.23/1.11 cnf(s128, plain, spl8_6, inference(rat,[],[s8,s127])).
% 5.23/1.11 cnf(s130, plain, spl8_4, inference(rat,[],[s5,s127])).
% 5.23/1.11 cnf(s131, plain, spl8_52, inference(rat,[],[s87,s128])).
% 5.23/1.11 cnf(s132, plain, spl8_7, inference(rat,[],[s10,s128])).
% 5.23/1.11 cnf(s137, plain, spl8_63, inference(rat,[],[s125,s132])).
% 5.23/1.11 cnf(s138, plain, spl8_11, inference(rat,[],[s15,s132])).
% 5.23/1.11 cnf(s144, plain, ~spl8_56, inference(rat,[],[s103,s126,s137])).
% 5.23/1.11 cnf(s145, plain, spl8_54, inference(rat,[],[s91,s131,s138])).
% 5.23/1.11 cnf(s151, plain, $false, inference(rat,[],[s94,s130,s144,s145])).
% 5.23/1.11 thf(f1371,plain,(
% 5.23/1.11 $false),
% 5.23/1.11 inference(avatar_sat_refutation,[],[s151])).
% 5.23/1.11 % SZS output end Proof for theBenchmark
% 5.23/1.11 % (951751)------------------------------
% 5.23/1.11 % (951751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.23/1.11 % (951751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.11 % (951751)CaDiCaL version: 2.1.3
% 5.23/1.11 % (951751)Termination reason: Refutation
% 5.23/1.11 % (951751)Time elapsed: 0.287 s
% 5.23/1.11 % (951751)Peak memory usage: 15 MB
% 5.23/1.11 % (951751)Instructions burned: 345 (million)
% 5.23/1.11 % (951639)Success in time 0.789 s
% 5.23/1.11 % Vampire exiting
%------------------------------------------------------------------------------