%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU604^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:16 AM UTC 2026
% Result : Theorem 16.01s 2.78s
% Output : Refutation 16.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU604^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:58:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.38 % (2545043)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.38 % (2545049)lrs+10_16_si=on:nwc=1.5:random_seed=2632248318:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.38 % (2545054)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.38 % (2545054)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.73/0.38 % (2545049)Instruction limit reached!
% 0.73/0.38 % (2545049)------------------------------
% 0.73/0.38 % (2545049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (2545049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (2545049)CaDiCaL version: 2.1.3
% 0.73/0.38 % (2545049)Termination reason: Instruction limit
% 0.73/0.38 % (2545049)Termination phase: Property scanning
% 0.73/0.38 % (2545049)Time elapsed: 0.005 s
% 0.73/0.38 % (2545049)Peak memory usage: 10 MB
% 0.73/0.38 % (2545049)Instructions burned: 23 (million)
% 0.73/0.38 % (2545048)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3574406903:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.38 % (2545050)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=474378104:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.38 % (2545052)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3319918865:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.38 % (2545051)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=3242491343:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.73/0.38 % (2545053)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2433980579:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.38 % (2545054)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=1844327849:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.38 % (2545050)Instruction limit reached!
% 0.73/0.38 % (2545050)------------------------------
% 0.73/0.38 % (2545050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (2545050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (2545050)CaDiCaL version: 2.1.3
% 0.73/0.38 % (2545050)Termination reason: Instruction limit
% 0.73/0.38 % (2545050)Termination phase: shuffling
% 0.73/0.38 % (2545050)Time elapsed: 0.002 s
% 0.73/0.38 % (2545050)Peak memory usage: 10 MB
% 0.73/0.38 % (2545050)Instructions burned: 4 (million)
% 0.73/0.38 % (2545056)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4213188229:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.38 % (2545056)Instruction limit reached!
% 0.73/0.38 % (2545056)------------------------------
% 0.73/0.38 % (2545056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (2545056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (2545056)CaDiCaL version: 2.1.3
% 0.73/0.38 % (2545056)Termination reason: Instruction limit
% 0.73/0.38 % (2545056)Termination phase: shuffling
% 0.73/0.38 % (2545056)Time elapsed: 0.001 s
% 0.73/0.38 % (2545056)Peak memory usage: 10 MB
% 0.73/0.38 % (2545056)Instructions burned: 4 (million)
% 0.73/0.38 % (2545052)Instruction limit reached!
% 0.73/0.38 % (2545052)------------------------------
% 0.73/0.38 % (2545052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (2545052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (2545052)CaDiCaL version: 2.1.3
% 0.73/0.38 % (2545052)Termination reason: Instruction limit
% 0.73/0.38 % (2545052)Termination phase: Preprocessing 3
% 0.73/0.38 % (2545052)Time elapsed: 0.012 s
% 0.73/0.38 % (2545052)Peak memory usage: 11 MB
% 0.73/0.38 % (2545052)Instructions burned: 24 (million)
% 0.73/0.38 % (2545065)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.41 % (2545065)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1531071869:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.41 % (2545063)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1054914765:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.41 % (2545065)Instruction limit reached!
% 0.73/0.41 % (2545065)------------------------------
% 0.73/0.41 % (2545065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2545065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2545065)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2545065)Termination reason: Instruction limit
% 0.73/0.41 % (2545065)Termination phase: shuffling
% 0.73/0.41 % (2545065)Time elapsed: 0.002 s
% 0.73/0.41 % (2545065)Peak memory usage: 10 MB
% 0.73/0.41 % (2545065)Instructions burned: 9 (million)
% 0.73/0.41 % (2545063)Instruction limit reached!
% 0.73/0.41 % (2545063)------------------------------
% 0.73/0.41 % (2545063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2545063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2545063)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2545063)Termination reason: Instruction limit
% 0.73/0.41 % (2545063)Termination phase: shuffling
% 0.73/0.41 % (2545063)Time elapsed: 0.003 s
% 0.73/0.41 % (2545063)Peak memory usage: 10 MB
% 0.73/0.41 % (2545063)Instructions burned: 6 (million)
% 0.73/0.41 % (2545069)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.73/0.41 % (2545069)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.41 % (2545066)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3259712655:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.41 % (2545069)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=273513416:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.41 % (2545053)Instruction limit reached!
% 0.73/0.41 % (2545053)------------------------------
% 0.73/0.41 % (2545053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2545053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2545053)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2545053)Termination reason: Instruction limit
% 0.73/0.41 % (2545053)Termination phase: Saturation
% 0.73/0.41 % (2545053)Time elapsed: 0.034 s
% 0.73/0.41 % (2545053)Peak memory usage: 13 MB
% 0.73/0.41 % (2545053)Instructions burned: 76 (million)
% 0.73/0.41 % (2545066)Instruction limit reached!
% 0.73/0.41 % (2545066)------------------------------
% 0.73/0.41 % (2545066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2545066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2545066)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2545066)Termination reason: Instruction limit
% 0.73/0.41 % (2545066)Termination phase: Property scanning
% 0.73/0.41 % (2545066)Time elapsed: 0.006 s
% 0.73/0.41 % (2545066)Peak memory usage: 10 MB
% 0.73/0.41 % (2545066)Instructions burned: 14 (million)
% 0.73/0.41 % (2545069)Instruction limit reached!
% 0.73/0.41 % (2545069)------------------------------
% 0.73/0.41 % (2545069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2545069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2545069)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2545069)Termination reason: Instruction limit
% 0.73/0.41 % (2545069)Termination phase: Property scanning
% 0.73/0.41 % (2545069)Time elapsed: 0.006 s
% 0.73/0.41 % (2545069)Peak memory usage: 10 MB
% 0.73/0.41 % (2545069)Instructions burned: 28 (million)
% 0.73/0.41 % (2545048)Instruction limit reached!
% 0.73/0.41 % (2545048)------------------------------
% 0.73/0.41 % (2545048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2545048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2545048)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2545048)Termination reason: Instruction limit
% 0.73/0.45 % (2545048)Termination phase: Saturation
% 0.73/0.45 % (2545048)Time elapsed: 0.040 s
% 0.73/0.45 % (2545048)Peak memory usage: 13 MB
% 0.73/0.45 % (2545048)Instructions burned: 89 (million)
% 0.73/0.45 % (2545070)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=2978378426:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.45 % (2545075)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=729016212:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.45 % (2545074)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.45 % (2545073)lrs+10_1_si=on:cs=on:random_seed=3532312671:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.45 % (2545074)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=1239740217:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.45 % (2545074)Instruction limit reached!
% 0.73/0.45 % (2545074)------------------------------
% 0.73/0.45 % (2545074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (2545074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (2545074)CaDiCaL version: 2.1.3
% 0.73/0.45 % (2545074)Termination reason: Instruction limit
% 0.73/0.45 % (2545074)Termination phase: shuffling
% 0.73/0.45 % (2545074)Time elapsed: 0.001 s
% 0.73/0.45 % (2545074)Peak memory usage: 10 MB
% 0.73/0.45 % (2545074)Instructions burned: 2 (million)
% 0.73/0.45 % (2545073)Instruction limit reached!
% 0.73/0.45 % (2545073)------------------------------
% 0.73/0.45 % (2545073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (2545073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (2545073)CaDiCaL version: 2.1.3
% 0.73/0.45 % (2545073)Termination reason: Instruction limit
% 0.73/0.45 % (2545073)Termination phase: shuffling
% 0.73/0.45 % (2545073)Time elapsed: 0.004 s
% 0.73/0.45 % (2545073)Peak memory usage: 10 MB
% 0.73/0.45 % (2545073)Instructions burned: 9 (million)
% 0.73/0.45 % (2545076)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=198968767:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.45 % (2545075)Instruction limit reached!
% 0.73/0.45 % (2545075)------------------------------
% 0.73/0.45 % (2545075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (2545075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (2545075)CaDiCaL version: 2.1.3
% 0.73/0.45 % (2545075)Termination reason: Instruction limit
% 0.73/0.45 % (2545075)Termination phase: Property scanning
% 0.73/0.45 % (2545075)Time elapsed: 0.011 s
% 0.73/0.45 % (2545075)Peak memory usage: 12 MB
% 0.73/0.45 % (2545075)Instructions burned: 42 (million)
% 0.73/0.45 % (2545054)Instruction limit reached!
% 0.73/0.45 % (2545054)------------------------------
% 0.73/0.45 % (2545054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (2545054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.45 % (2545054)CaDiCaL version: 2.1.3
% 0.73/0.45 % (2545054)Termination reason: Instruction limit
% 0.73/0.45 % (2545054)Termination phase: Saturation
% 0.73/0.45 % (2545054)Time elapsed: 0.066 s
% 0.73/0.45 % (2545054)Peak memory usage: 13 MB
% 0.73/0.45 % (2545054)Instructions burned: 159 (million)
% 0.73/0.45 % (2545084)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2252431612:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.73/0.45 % (2545082)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3753762623:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.45 % (2545081)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=407884452:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.73/0.45 % (2545070)Instruction limit reached!
% 0.73/0.45 % (2545070)------------------------------
% 0.73/0.45 % (2545070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.45 % (2545070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2545070)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2545070)Termination reason: Instruction limit
% 1.42/0.50 % (2545070)Termination phase: Saturation
% 1.42/0.50 % (2545070)Time elapsed: 0.038 s
% 1.42/0.50 % (2545070)Peak memory usage: 13 MB
% 1.42/0.50 % (2545070)Instructions burned: 87 (million)
% 1.42/0.50 % (2545082)Instruction limit reached!
% 1.42/0.50 % (2545082)------------------------------
% 1.42/0.50 % (2545082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2545082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2545082)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2545082)Termination reason: Instruction limit
% 1.42/0.50 % (2545082)Termination phase: Property scanning
% 1.42/0.50 % (2545082)Time elapsed: 0.006 s
% 1.42/0.50 % (2545082)Peak memory usage: 10 MB
% 1.42/0.50 % (2545082)Instructions burned: 14 (million)
% 1.42/0.50 % (2545085)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1687667674:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.50 % (2545081)Instruction limit reached!
% 1.42/0.50 % (2545081)------------------------------
% 1.42/0.50 % (2545081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2545081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2545081)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2545081)Termination reason: Instruction limit
% 1.42/0.50 % (2545081)Termination phase: Preprocessing 3
% 1.42/0.50 % (2545081)Time elapsed: 0.013 s
% 1.42/0.50 % (2545081)Peak memory usage: 11 MB
% 1.42/0.50 % (2545081)Instructions burned: 27 (million)
% 1.42/0.50 % (2545085)Instruction limit reached!
% 1.42/0.50 % (2545085)------------------------------
% 1.42/0.50 % (2545085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2545085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2545085)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2545085)Termination reason: Instruction limit
% 1.42/0.50 % (2545085)Termination phase: Property scanning
% 1.42/0.50 % (2545085)Time elapsed: 0.006 s
% 1.42/0.50 % (2545085)Peak memory usage: 10 MB
% 1.42/0.50 % (2545085)Instructions burned: 14 (million)
% 1.42/0.50 % (2545089)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1010200572:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.42/0.50 % (2545089)Instruction limit reached!
% 1.42/0.50 % (2545089)------------------------------
% 1.42/0.50 % (2545089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2545089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2545089)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2545089)Termination reason: Instruction limit
% 1.42/0.50 % (2545089)Termination phase: shuffling
% 1.42/0.50 % (2545089)Time elapsed: 0.002 s
% 1.42/0.50 % (2545089)Peak memory usage: 10 MB
% 1.42/0.50 % (2545089)Instructions burned: 4 (million)
% 1.42/0.50 % (2545090)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2547304937:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.42/0.50 % (2545092)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1439956299:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.50 % (2545093)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1190711:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.42/0.50 % (2545090)Instruction limit reached!
% 1.42/0.50 % (2545090)------------------------------
% 1.42/0.50 % (2545090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2545090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2545090)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2545090)Termination reason: Instruction limit
% 1.42/0.50 % (2545090)Termination phase: Property scanning
% 1.42/0.50 % (2545090)Time elapsed: 0.011 s
% 1.42/0.50 % (2545090)Peak memory usage: 10 MB
% 1.42/0.50 % (2545090)Instructions burned: 26 (million)
% 1.42/0.50 % (2545095)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.42/0.50 % (2545095)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.42/0.55 % (2545095)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=3127314304:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.55 % (2545092)Instruction limit reached!
% 1.42/0.55 % (2545092)------------------------------
% 1.42/0.55 % (2545092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.55 % (2545092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.55 % (2545092)CaDiCaL version: 2.1.3
% 1.42/0.55 % (2545092)Termination reason: Instruction limit
% 1.42/0.55 % (2545092)Termination phase: Property scanning
% 1.42/0.55 % (2545092)Time elapsed: 0.011 s
% 1.42/0.55 % (2545092)Peak memory usage: 11 MB
% 1.42/0.55 % (2545092)Instructions burned: 25 (million)
% 1.42/0.55 % (2545095)Instruction limit reached!
% 1.42/0.55 % (2545095)------------------------------
% 1.42/0.55 % (2545095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.55 % (2545095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.55 % (2545095)CaDiCaL version: 2.1.3
% 1.42/0.55 % (2545095)Termination reason: Instruction limit
% 1.42/0.55 % (2545095)Termination phase: Property scanning
% 1.42/0.55 % (2545095)Time elapsed: 0.007 s
% 1.42/0.55 % (2545095)Peak memory usage: 10 MB
% 1.42/0.55 % (2545095)Instructions burned: 15 (million)
% 1.42/0.55 % (2545099)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.42/0.55 % (2545099)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=4095275622:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.42/0.55 % (2545099)Instruction limit reached!
% 1.42/0.55 % (2545099)------------------------------
% 1.42/0.55 % (2545099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.55 % (2545099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.55 % (2545099)CaDiCaL version: 2.1.3
% 1.42/0.55 % (2545099)Termination reason: Instruction limit
% 1.42/0.55 % (2545099)Termination phase: shuffling
% 1.42/0.55 % (2545099)Time elapsed: 0.004 s
% 1.42/0.55 % (2545099)Peak memory usage: 10 MB
% 1.42/0.55 % (2545099)Instructions burned: 8 (million)
% 1.42/0.55 % (2545093)Instruction limit reached!
% 1.42/0.55 % (2545093)------------------------------
% 1.42/0.55 % (2545093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.55 % (2545093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.55 % (2545093)CaDiCaL version: 2.1.3
% 1.42/0.55 % (2545093)Termination reason: Instruction limit
% 1.42/0.55 % (2545093)Termination phase: Saturation
% 1.42/0.55 % (2545093)Time elapsed: 0.027 s
% 1.42/0.55 % (2545093)Peak memory usage: 12 MB
% 1.42/0.55 % (2545093)Instructions burned: 60 (million)
% 1.42/0.55 % (2545101)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=4263571862:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.42/0.55 % (2545102)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3950454432:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.42/0.55 % (2545102)Instruction limit reached!
% 1.42/0.55 % (2545102)------------------------------
% 1.42/0.55 % (2545102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.55 % (2545102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.55 % (2545102)CaDiCaL version: 2.1.3
% 1.42/0.55 % (2545102)Termination reason: Instruction limit
% 1.42/0.55 % (2545102)Termination phase: shuffling
% 1.42/0.55 % (2545102)Time elapsed: 0.003 s
% 1.42/0.55 % (2545102)Peak memory usage: 10 MB
% 1.42/0.55 % (2545102)Instructions burned: 7 (million)
% 1.42/0.55 % (2545101)Instruction limit reached!
% 1.42/0.55 % (2545101)------------------------------
% 1.42/0.55 % (2545101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.55 % (2545101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.55 % (2545101)CaDiCaL version: 2.1.3
% 1.42/0.55 % (2545101)Termination reason: Instruction limit
% 1.42/0.55 % (2545101)Termination phase: Property scanning
% 1.42/0.55 % (2545101)Time elapsed: 0.014 s
% 2.42/0.65 % (2545101)Peak memory usage: 10 MB
% 2.42/0.65 % (2545101)Instructions burned: 32 (million)
% 2.42/0.65 % (2545104)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=912977145:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.42/0.65 % (2545084)Instruction limit reached!
% 2.42/0.65 % (2545084)------------------------------
% 2.42/0.65 % (2545084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.65 % (2545084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.65 % (2545084)CaDiCaL version: 2.1.3
% 2.42/0.65 % (2545084)Termination reason: Instruction limit
% 2.42/0.65 % (2545084)Termination phase: Saturation
% 2.42/0.65 % (2545084)Time elapsed: 0.085 s
% 2.42/0.65 % (2545084)Peak memory usage: 14 MB
% 2.42/0.65 % (2545084)Instructions burned: 330 (million)
% 2.42/0.65 % (2545105)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1576163985:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.42/0.65 % (2545104)Instruction limit reached!
% 2.42/0.65 % (2545104)------------------------------
% 2.42/0.65 % (2545104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.65 % (2545104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.65 % (2545104)CaDiCaL version: 2.1.3
% 2.42/0.65 % (2545104)Termination reason: Instruction limit
% 2.42/0.65 % (2545104)Termination phase: Property scanning
% 2.42/0.65 % (2545104)Time elapsed: 0.010 s
% 2.42/0.65 % (2545104)Peak memory usage: 10 MB
% 2.42/0.65 % (2545104)Instructions burned: 23 (million)
% 2.42/0.65 % (2545111)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1749617502:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.42/0.65 % (2545105)Instruction limit reached!
% 2.42/0.65 % (2545105)------------------------------
% 2.42/0.65 % (2545105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.65 % (2545105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.65 % (2545105)CaDiCaL version: 2.1.3
% 2.42/0.65 % (2545105)Termination reason: Instruction limit
% 2.42/0.65 % (2545105)Termination phase: Property scanning
% 2.42/0.65 % (2545105)Time elapsed: 0.009 s
% 2.42/0.65 % (2545105)Peak memory usage: 10 MB
% 2.42/0.65 % (2545105)Instructions burned: 22 (million)
% 2.42/0.65 % (2545108)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3286760410:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.42/0.65 % (2545109)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4265383768:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.42/0.65 % (2545115)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.42/0.65 % (2545113)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=225578549:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.42/0.65 % (2545076)Instruction limit reached!
% 2.42/0.65 % (2545076)------------------------------
% 2.42/0.65 % (2545076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.65 % (2545115)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4031705991:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.42/0.65 % (2545076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.65 % (2545076)CaDiCaL version: 2.1.3
% 2.42/0.65 % (2545076)Termination reason: Instruction limit
% 2.42/0.65 % (2545076)Termination phase: Saturation
% 2.42/0.65 % (2545076)Time elapsed: 0.128 s
% 2.42/0.65 % (2545076)Peak memory usage: 14 MB
% 2.42/0.65 % (2545076)Instructions burned: 250 (million)
% 2.42/0.65 % (2545115)Instruction limit reached!
% 2.42/0.65 % (2545115)------------------------------
% 2.42/0.65 % (2545115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.65 % (2545115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.65 % (2545115)CaDiCaL version: 2.1.3
% 2.42/0.65 % (2545115)Termination reason: Instruction limit
% 2.42/0.65 % (2545115)Termination phase: shuffling
% 2.42/0.65 % (2545115)Time elapsed: 0.004 s
% 2.42/0.65 % (2545115)Peak memory usage: 10 MB
% 2.42/0.65 % (2545115)Instructions burned: 9 (million)
% 2.42/0.65 % (2545113)Instruction limit reached!
% 2.78/0.72 % (2545113)------------------------------
% 2.78/0.72 % (2545113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.72 % (2545113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.72 % (2545113)CaDiCaL version: 2.1.3
% 2.78/0.72 % (2545113)Termination reason: Instruction limit
% 2.78/0.72 % (2545113)Termination phase: Property scanning
% 2.78/0.72 % (2545113)Time elapsed: 0.018 s
% 2.78/0.72 % (2545113)Peak memory usage: 11 MB
% 2.78/0.72 % (2545113)Instructions burned: 44 (million)
% 2.78/0.72 % (2545120)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=615230868:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.78/0.72 % (2545121)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=3431033147:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.78/0.72 % (2545111)Instruction limit reached!
% 2.78/0.72 % (2545111)------------------------------
% 2.78/0.72 % (2545111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.72 % (2545111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.72 % (2545111)CaDiCaL version: 2.1.3
% 2.78/0.72 % (2545111)Termination reason: Instruction limit
% 2.78/0.72 % (2545111)Termination phase: Saturation
% 2.78/0.72 % (2545122)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.78/0.72 % (2545111)Time elapsed: 0.052 s
% 2.78/0.72 % (2545111)Peak memory usage: 14 MB
% 2.78/0.72 % (2545111)Instructions burned: 196 (million)
% 2.78/0.72 % (2545122)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3141326194:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.78/0.72 % (2545122)Instruction limit reached!
% 2.78/0.72 % (2545122)------------------------------
% 2.78/0.72 % (2545122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.72 % (2545122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.72 % (2545122)CaDiCaL version: 2.1.3
% 2.78/0.72 % (2545122)Termination reason: Instruction limit
% 2.78/0.72 % (2545122)Termination phase: shuffling
% 2.78/0.72 % (2545122)Time elapsed: 0.003 s
% 2.78/0.72 % (2545122)Peak memory usage: 10 MB
% 2.78/0.72 % (2545122)Instructions burned: 7 (million)
% 2.78/0.72 % (2545125)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3294483642:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.78/0.72 % (2545109)Instruction limit reached!
% 2.78/0.72 % (2545109)------------------------------
% 2.78/0.72 % (2545109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.72 % (2545109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.72 % (2545109)CaDiCaL version: 2.1.3
% 2.78/0.72 % (2545109)Termination reason: Instruction limit
% 2.78/0.72 % (2545109)Termination phase: Saturation
% 2.78/0.72 % (2545109)Time elapsed: 0.060 s
% 2.78/0.72 % (2545109)Peak memory usage: 14 MB
% 2.78/0.72 % (2545109)Instructions burned: 143 (million)
% 2.78/0.72 % (2545125)Instruction limit reached!
% 2.78/0.72 % (2545125)------------------------------
% 2.78/0.72 % (2545125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.72 % (2545125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.72 % (2545125)CaDiCaL version: 2.1.3
% 2.78/0.72 % (2545125)Termination reason: Instruction limit
% 2.78/0.72 % (2545125)Termination phase: Property scanning
% 2.78/0.72 % (2545125)Time elapsed: 0.006 s
% 2.78/0.72 % (2545125)Peak memory usage: 11 MB
% 2.78/0.72 % (2545125)Instructions burned: 29 (million)
% 2.78/0.72 % (2545127)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1175102351:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.78/0.72 % (2545130)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=1663988826:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.78/0.72 % (2545129)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=554048061:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 3.45/0.83 % (2545127)Instruction limit reached!
% 3.45/0.83 % (2545127)------------------------------
% 3.45/0.83 % (2545127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.83 % (2545127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.83 % (2545127)CaDiCaL version: 2.1.3
% 3.45/0.83 % (2545127)Termination reason: Instruction limit
% 3.45/0.83 % (2545127)Termination phase: Property scanning
% 3.45/0.83 % (2545127)Time elapsed: 0.009 s
% 3.45/0.83 % (2545127)Peak memory usage: 10 MB
% 3.45/0.83 % (2545127)Instructions burned: 20 (million)
% 3.45/0.83 % (2545134)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=1655055755:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 3.45/0.83 % (2545121)Instruction limit reached!
% 3.45/0.83 % (2545121)------------------------------
% 3.45/0.83 % (2545121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.83 % (2545121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.83 % (2545121)CaDiCaL version: 2.1.3
% 3.45/0.83 % (2545121)Termination reason: Instruction limit
% 3.45/0.83 % (2545121)Termination phase: Saturation
% 3.45/0.83 % (2545121)Time elapsed: 0.078 s
% 3.45/0.83 % (2545121)Peak memory usage: 13 MB
% 3.45/0.83 % (2545121)Instructions burned: 172 (million)
% 3.45/0.83 % (2545120)Instruction limit reached!
% 3.45/0.83 % (2545120)------------------------------
% 3.45/0.83 % (2545120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.83 % (2545120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.83 % (2545120)CaDiCaL version: 2.1.3
% 3.45/0.83 % (2545120)Termination reason: Instruction limit
% 3.45/0.83 % (2545120)Termination phase: Saturation
% 3.45/0.83 % (2545120)Time elapsed: 0.084 s
% 3.45/0.83 % (2545120)Peak memory usage: 14 MB
% 3.45/0.83 % (2545120)Instructions burned: 182 (million)
% 3.45/0.83 % (2545134)Instruction limit reached!
% 3.45/0.83 % (2545134)------------------------------
% 3.45/0.83 % (2545134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.83 % (2545134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.83 % (2545134)CaDiCaL version: 2.1.3
% 3.45/0.83 % (2545134)Termination reason: Instruction limit
% 3.45/0.83 % (2545134)Termination phase: Property scanning
% 3.45/0.83 % (2545134)Time elapsed: 0.022 s
% 3.45/0.83 % (2545134)Peak memory usage: 12 MB
% 3.45/0.83 % (2545134)Instructions burned: 47 (million)
% 3.45/0.83 % (2545136)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3608476868:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.45/0.83 % (2545137)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2562650850:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.45/0.83 % (2545138)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.45/0.83 % (2545138)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=408085760:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.45/0.83 % (2545137)Instruction limit reached!
% 3.45/0.83 % (2545137)------------------------------
% 3.45/0.83 % (2545137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.83 % (2545137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.83 % (2545137)CaDiCaL version: 2.1.3
% 3.45/0.83 % (2545137)Termination reason: Instruction limit
% 3.45/0.83 % (2545137)Termination phase: Property scanning
% 3.45/0.83 % (2545137)Time elapsed: 0.009 s
% 3.45/0.83 % (2545137)Peak memory usage: 10 MB
% 3.45/0.83 % (2545137)Instructions burned: 22 (million)
% 3.45/0.83 % (2545142)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2275766022:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.45/0.83 % (2545142)Instruction limit reached!
% 3.45/0.83 % (2545142)------------------------------
% 3.45/0.83 % (2545142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.96 % (2545142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.96 % (2545142)CaDiCaL version: 2.1.3
% 4.16/0.96 % (2545142)Termination reason: Instruction limit
% 4.16/0.96 % (2545142)Termination phase: Property scanning
% 4.16/0.96 % (2545142)Time elapsed: 0.006 s
% 4.16/0.96 % (2545142)Peak memory usage: 10 MB
% 4.16/0.96 % (2545142)Instructions burned: 14 (million)
% 4.16/0.96 % (2545051)Instruction limit reached!
% 4.16/0.96 % (2545051)------------------------------
% 4.16/0.96 % (2545051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.96 % (2545051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.96 % (2545051)CaDiCaL version: 2.1.3
% 4.16/0.96 % (2545051)Termination reason: Instruction limit
% 4.16/0.96 % (2545051)Termination phase: Saturation
% 4.16/0.96 % (2545051)Time elapsed: 0.349 s
% 4.16/0.96 % (2545051)Peak memory usage: 18 MB
% 4.16/0.96 % (2545051)Instructions burned: 636 (million)
% 4.16/0.96 % (2545144)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=579637371:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 4.16/0.96 % (2545145)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3279912414:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 4.16/0.96 % (2545145)Instruction limit reached!
% 4.16/0.96 % (2545145)------------------------------
% 4.16/0.96 % (2545145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.96 % (2545145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.96 % (2545145)CaDiCaL version: 2.1.3
% 4.16/0.96 % (2545145)Termination reason: Instruction limit
% 4.16/0.96 % (2545145)Termination phase: Saturation
% 4.16/0.96 % (2545145)Time elapsed: 0.022 s
% 4.16/0.96 % (2545145)Peak memory usage: 12 MB
% 4.16/0.96 % (2545145)Instructions burned: 51 (million)
% 4.16/0.96 % (2545129)Instruction limit reached!
% 4.16/0.96 % (2545129)------------------------------
% 4.16/0.96 % (2545129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.96 % (2545129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.96 % (2545129)CaDiCaL version: 2.1.3
% 4.16/0.96 % (2545129)Termination reason: Instruction limit
% 4.16/0.96 % (2545129)Termination phase: Saturation
% 4.16/0.96 % (2545129)Time elapsed: 0.138 s
% 4.16/0.96 % (2545129)Peak memory usage: 16 MB
% 4.16/0.96 % (2545129)Instructions burned: 317 (million)
% 4.16/0.96 % (2545144)Instruction limit reached!
% 4.16/0.96 % (2545144)------------------------------
% 4.16/0.96 % (2545144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.96 % (2545144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.96 % (2545144)CaDiCaL version: 2.1.3
% 4.16/0.96 % (2545144)Termination reason: Instruction limit
% 4.16/0.96 % (2545144)Termination phase: Saturation
% 4.16/0.96 % (2545144)Time elapsed: 0.028 s
% 4.16/0.96 % (2545144)Peak memory usage: 13 MB
% 4.16/0.96 % (2545144)Instructions burned: 66 (million)
% 4.16/0.96 % (2545138)Instruction limit reached!
% 4.16/0.96 % (2545138)------------------------------
% 4.16/0.96 % (2545138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.96 % (2545138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.96 % (2545138)CaDiCaL version: 2.1.3
% 4.16/0.96 % (2545138)Termination reason: Instruction limit
% 4.16/0.96 % (2545138)Termination phase: Saturation
% 4.16/0.96 % (2545138)Time elapsed: 0.088 s
% 4.16/0.96 % (2545138)Peak memory usage: 13 MB
% 4.16/0.96 % (2545138)Instructions burned: 203 (million)
% 4.16/0.96 % (2545148)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3922480814:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.16/0.96 % (2545149)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3396933839:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.16/0.96 % (2545150)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=2067426787:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.16/0.96 % (2545148)Instruction limit reached!
% 4.16/0.96 % (2545148)------------------------------
% 4.16/0.96 % (2545148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (2545148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (2545148)CaDiCaL version: 2.1.3
% 5.43/1.10 % (2545148)Termination reason: Instruction limit
% 5.43/1.10 % (2545148)Termination phase: Property scanning
% 5.43/1.10 % (2545148)Time elapsed: 0.014 s
% 5.43/1.10 % (2545148)Peak memory usage: 10 MB
% 5.43/1.10 % (2545148)Instructions burned: 33 (million)
% 5.43/1.10 % (2545151)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=50547872:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.43/1.10 % (2545150)Instruction limit reached!
% 5.43/1.10 % (2545150)------------------------------
% 5.43/1.10 % (2545150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (2545150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (2545150)CaDiCaL version: 2.1.3
% 5.43/1.10 % (2545150)Termination reason: Instruction limit
% 5.43/1.10 % (2545150)Termination phase: Property scanning
% 5.43/1.10 % (2545150)Time elapsed: 0.015 s
% 5.43/1.10 % (2545150)Peak memory usage: 10 MB
% 5.43/1.10 % (2545150)Instructions burned: 36 (million)
% 5.43/1.10 % (2545155)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.43/1.10 % (2545155)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1978465332:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.43/1.10 % (2545157)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=861811481:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.43/1.10 % (2545151)Instruction limit reached!
% 5.43/1.10 % (2545151)------------------------------
% 5.43/1.10 % (2545151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (2545151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (2545151)CaDiCaL version: 2.1.3
% 5.43/1.10 % (2545151)Termination reason: Instruction limit
% 5.43/1.10 % (2545151)Termination phase: Saturation
% 5.43/1.10 % (2545151)Time elapsed: 0.029 s
% 5.43/1.10 % (2545151)Peak memory usage: 12 MB
% 5.43/1.10 % (2545151)Instructions burned: 68 (million)
% 5.43/1.10 % (2545149)Instruction limit reached!
% 5.43/1.10 % (2545149)------------------------------
% 5.43/1.10 % (2545149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (2545149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (2545149)CaDiCaL version: 2.1.3
% 5.43/1.10 % (2545149)Termination reason: Instruction limit
% 5.43/1.10 % (2545149)Termination phase: Saturation
% 5.43/1.10 % (2545149)Time elapsed: 0.059 s
% 5.43/1.10 % (2545149)Peak memory usage: 13 MB
% 5.43/1.10 % (2545149)Instructions burned: 140 (million)
% 5.43/1.10 % (2545160)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=251262210:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 5.43/1.10 % (2545161)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1874103648:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.43/1.10 % (2545130)Instruction limit reached!
% 5.43/1.10 % (2545130)------------------------------
% 5.43/1.10 % (2545130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (2545130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (2545130)CaDiCaL version: 2.1.3
% 5.43/1.10 % (2545130)Termination reason: Instruction limit
% 5.43/1.10 % (2545130)Termination phase: Saturation
% 5.43/1.10 % (2545130)Time elapsed: 0.250 s
% 5.43/1.10 % (2545130)Peak memory usage: 20 MB
% 5.43/1.10 % (2545130)Instructions burned: 855 (million)
% 5.43/1.10 % (2545164)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=325411297:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.43/1.10 % (2545160)Instruction limit reached!
% 5.43/1.10 % (2545160)------------------------------
% 5.43/1.10 % (2545160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (2545160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (2545160)CaDiCaL version: 2.1.3
% 5.43/1.10 % (2545160)Termination reason: Instruction limit
% 5.43/1.10 % (2545160)Termination phase: Saturation
% 5.43/1.10 % (2545160)Time elapsed: 0.042 s
% 5.43/1.10 % (2545160)Peak memory usage: 13 MB
% 5.43/1.10 % (2545160)Instructions burned: 97 (million)
% 5.43/1.10 % (2545155)Instruction limit reached!
% 5.88/1.16 % (2545155)------------------------------
% 5.88/1.16 % (2545155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (2545155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (2545155)CaDiCaL version: 2.1.3
% 5.88/1.16 % (2545155)Termination reason: Instruction limit
% 5.88/1.16 % (2545155)Termination phase: Saturation
% 5.88/1.16 % (2545155)Time elapsed: 0.084 s
% 5.88/1.16 % (2545155)Peak memory usage: 12 MB
% 5.88/1.16 % (2545155)Instructions burned: 181 (million)
% 5.88/1.16 % (2545166)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4253648742:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.88/1.16 % (2545167)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1099352918:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.88/1.16 % (2545136)Instruction limit reached!
% 5.88/1.16 % (2545136)------------------------------
% 5.88/1.16 % (2545136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (2545136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (2545136)CaDiCaL version: 2.1.3
% 5.88/1.16 % (2545136)Termination reason: Instruction limit
% 5.88/1.16 % (2545136)Termination phase: Saturation
% 5.88/1.16 % (2545136)Time elapsed: 0.241 s
% 5.88/1.16 % (2545136)Peak memory usage: 15 MB
% 5.88/1.16 % (2545136)Instructions burned: 480 (million)
% 5.88/1.16 % (2545157)Instruction limit reached!
% 5.88/1.16 % (2545157)------------------------------
% 5.88/1.16 % (2545157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (2545170)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1835037115:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.88/1.16 % (2545157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (2545157)CaDiCaL version: 2.1.3
% 5.88/1.16 % (2545157)Termination reason: Instruction limit
% 5.88/1.16 % (2545157)Termination phase: Saturation
% 5.88/1.16 % (2545157)Time elapsed: 0.120 s
% 5.88/1.16 % (2545157)Peak memory usage: 14 MB
% 5.88/1.16 % (2545157)Instructions burned: 246 (million)
% 5.88/1.16 % (2545170)Instruction limit reached!
% 5.88/1.16 % (2545170)------------------------------
% 5.88/1.16 % (2545170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (2545170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (2545170)CaDiCaL version: 2.1.3
% 5.88/1.16 % (2545170)Termination reason: Instruction limit
% 5.88/1.16 % (2545170)Termination phase: Property scanning
% 5.88/1.16 % (2545170)Time elapsed: 0.018 s
% 5.88/1.16 % (2545170)Peak memory usage: 11 MB
% 5.88/1.16 % (2545170)Instructions burned: 45 (million)
% 5.88/1.16 % (2545172)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2201858810:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.88/1.16 % (2545167)Instruction limit reached!
% 5.88/1.16 % (2545167)------------------------------
% 5.88/1.16 % (2545167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (2545167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (2545167)CaDiCaL version: 2.1.3
% 5.88/1.16 % (2545167)Termination reason: Instruction limit
% 5.88/1.16 % (2545167)Termination phase: Saturation
% 5.88/1.16 % (2545167)Time elapsed: 0.056 s
% 5.88/1.16 % (2545167)Peak memory usage: 13 MB
% 5.88/1.16 % (2545167)Instructions burned: 132 (million)
% 5.88/1.16 % (2545174)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1612797819:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.88/1.16 % (2545175)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1065112445:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.88/1.16 % (2545175)Instruction limit reached!
% 5.88/1.16 % (2545175)------------------------------
% 5.88/1.16 % (2545175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (2545175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (2545175)CaDiCaL version: 2.1.3
% 5.88/1.16 % (2545175)Termination reason: Instruction limit
% 5.88/1.16 % (2545175)Termination phase: Saturation
% 5.88/1.16 % (2545175)Time elapsed: 0.043 s
% 5.88/1.16 % (2545175)Peak memory usage: 13 MB
% 6.23/1.26 % (2545175)Instructions burned: 97 (million)
% 6.23/1.26 % (2545178)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=1067098078:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 6.23/1.26 % (2545161)Instruction limit reached!
% 6.23/1.26 % (2545161)------------------------------
% 6.23/1.26 % (2545161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.26 % (2545161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.26 % (2545161)CaDiCaL version: 2.1.3
% 6.23/1.26 % (2545161)Termination reason: Instruction limit
% 6.23/1.26 % (2545161)Termination phase: Saturation
% 6.23/1.26 % (2545161)Time elapsed: 0.212 s
% 6.23/1.26 % (2545161)Peak memory usage: 15 MB
% 6.23/1.26 % (2545161)Instructions burned: 437 (million)
% 6.23/1.26 % (2545178)Instruction limit reached!
% 6.23/1.26 % (2545178)------------------------------
% 6.23/1.26 % (2545178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.26 % (2545178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.26 % (2545178)CaDiCaL version: 2.1.3
% 6.23/1.26 % (2545178)Termination reason: Instruction limit
% 6.23/1.26 % (2545178)Termination phase: Saturation
% 6.23/1.26 % (2545178)Time elapsed: 0.027 s
% 6.23/1.26 % (2545178)Peak memory usage: 12 MB
% 6.23/1.26 % (2545178)Instructions burned: 67 (million)
% 6.23/1.26 % (2545180)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=331575296:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2992 on theBenchmark for (2992ds/105Mi)
% 6.23/1.26 % (2545164)Instruction limit reached!
% 6.23/1.26 % (2545164)------------------------------
% 6.23/1.26 % (2545164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.26 % (2545164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.26 % (2545164)CaDiCaL version: 2.1.3
% 6.23/1.26 % (2545164)Termination reason: Instruction limit
% 6.23/1.26 % (2545164)Termination phase: Saturation
% 6.23/1.26 % (2545164)Time elapsed: 0.214 s
% 6.23/1.26 % (2545164)Peak memory usage: 15 MB
% 6.23/1.26 % (2545164)Instructions burned: 875 (million)
% 6.23/1.26 % (2545181)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3769953996:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 6.23/1.26 % (2545183)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3712791614:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 6.23/1.26 % (2545180)Instruction limit reached!
% 6.23/1.26 % (2545180)------------------------------
% 6.23/1.26 % (2545180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.26 % (2545180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.26 % (2545180)CaDiCaL version: 2.1.3
% 6.23/1.26 % (2545180)Termination reason: Instruction limit
% 6.23/1.26 % (2545180)Termination phase: Saturation
% 6.23/1.26 % (2545180)Time elapsed: 0.045 s
% 6.23/1.26 % (2545180)Peak memory usage: 13 MB
% 6.23/1.26 % (2545180)Instructions burned: 107 (million)
% 6.23/1.26 % (2545166)Instruction limit reached!
% 6.23/1.26 % (2545166)------------------------------
% 6.23/1.26 % (2545166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.26 % (2545166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.26 % (2545166)CaDiCaL version: 2.1.3
% 6.23/1.26 % (2545166)Termination reason: Instruction limit
% 6.23/1.26 % (2545166)Termination phase: Saturation
% 6.23/1.26 % (2545166)Time elapsed: 0.234 s
% 6.23/1.26 % (2545166)Peak memory usage: 14 MB
% 6.23/1.26 % (2545166)Instructions burned: 516 (million)
% 6.23/1.26 % (2545186)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2498577047:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.23/1.26 % (2545187)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=4012152831:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.23/1.26 % (2545187)Instruction limit reached!
% 6.43/1.37 % (2545187)------------------------------
% 6.43/1.37 % (2545187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.37 % (2545187)CaDiCaL version: 2.1.3
% 6.43/1.37 % (2545187)Termination reason: Instruction limit
% 6.43/1.37 % (2545187)Termination phase: Property scanning
% 6.43/1.37 % (2545187)Time elapsed: 0.014 s
% 6.43/1.37 % (2545187)Peak memory usage: 10 MB
% 6.43/1.37 % (2545187)Instructions burned: 34 (million)
% 6.43/1.37 % (2545174)Instruction limit reached!
% 6.43/1.37 % (2545174)------------------------------
% 6.43/1.37 % (2545174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.37 % (2545174)CaDiCaL version: 2.1.3
% 6.43/1.37 % (2545174)Termination reason: Instruction limit
% 6.43/1.37 % (2545174)Termination phase: Saturation
% 6.43/1.37 % (2545174)Time elapsed: 0.197 s
% 6.43/1.37 % (2545174)Peak memory usage: 18 MB
% 6.43/1.37 % (2545174)Instructions burned: 450 (million)
% 6.43/1.37 % (2545108)Instruction limit reached!
% 6.43/1.37 % (2545108)------------------------------
% 6.43/1.37 % (2545108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.37 % (2545108)CaDiCaL version: 2.1.3
% 6.43/1.37 % (2545108)Termination reason: Instruction limit
% 6.43/1.37 % (2545108)Termination phase: Saturation
% 6.43/1.37 % (2545108)Time elapsed: 0.654 s
% 6.43/1.37 % (2545108)Peak memory usage: 19 MB
% 6.43/1.37 % (2545108)Instructions burned: 1240 (million)
% 6.43/1.37 % (2545190)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=517596077:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.43/1.37 % (2545191)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2427284705:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2991 on theBenchmark for (2991ds/66Mi)
% 6.43/1.37 % (2545183)Instruction limit reached!
% 6.43/1.37 % (2545183)------------------------------
% 6.43/1.37 % (2545183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.37 % (2545183)CaDiCaL version: 2.1.3
% 6.43/1.37 % (2545183)Termination reason: Instruction limit
% 6.43/1.37 % (2545183)Termination phase: Saturation
% 6.43/1.37 % (2545183)Time elapsed: 0.101 s
% 6.43/1.37 % (2545183)Peak memory usage: 15 MB
% 6.43/1.37 % (2545183)Instructions burned: 376 (million)
% 6.43/1.37 % (2545193)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=893980254:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 6.43/1.37 % (2545195)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1522161069:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 6.43/1.37 % (2545193)Instruction limit reached!
% 6.43/1.37 % (2545193)------------------------------
% 6.43/1.37 % (2545193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.37 % (2545193)CaDiCaL version: 2.1.3
% 6.43/1.37 % (2545193)Termination reason: Instruction limit
% 6.43/1.37 % (2545193)Termination phase: Preprocessing 3
% 6.43/1.37 % (2545193)Time elapsed: 0.010 s
% 6.43/1.37 % (2545193)Peak memory usage: 10 MB
% 6.43/1.37 % (2545193)Instructions burned: 24 (million)
% 6.43/1.37 % (2545191)Instruction limit reached!
% 6.43/1.37 % (2545191)------------------------------
% 6.43/1.37 % (2545191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.37 % (2545191)CaDiCaL version: 2.1.3
% 6.43/1.37 % (2545191)Termination reason: Instruction limit
% 6.43/1.37 % (2545191)Termination phase: Property scanning
% 6.43/1.37 % (2545191)Time elapsed: 0.031 s
% 6.43/1.37 % (2545191)Peak memory usage: 12 MB
% 6.43/1.37 % (2545191)Instructions burned: 67 (million)
% 6.43/1.37 % (2545190)Instruction limit reached!
% 6.43/1.37 % (2545190)------------------------------
% 6.43/1.37 % (2545190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.37 % (2545190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.52 % (2545190)CaDiCaL version: 2.1.3
% 7.42/1.52 % (2545190)Termination reason: Instruction limit
% 7.42/1.52 % (2545190)Termination phase: Saturation
% 7.42/1.52 % (2545190)Time elapsed: 0.042 s
% 7.42/1.52 % (2545190)Peak memory usage: 13 MB
% 7.42/1.52 % (2545190)Instructions burned: 91 (million)
% 7.42/1.52 % (2545172)Instruction limit reached!
% 7.42/1.52 % (2545172)------------------------------
% 7.42/1.52 % (2545172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.52 % (2545172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.52 % (2545172)CaDiCaL version: 2.1.3
% 7.42/1.52 % (2545172)Termination reason: Instruction limit
% 7.42/1.52 % (2545172)Termination phase: Saturation
% 7.42/1.52 % (2545172)Time elapsed: 0.279 s
% 7.42/1.52 % (2545172)Peak memory usage: 17 MB
% 7.42/1.52 % (2545172)Instructions burned: 572 (million)
% 7.42/1.52 % (2545199)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.42/1.52 % (2545198)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1882166989:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 7.42/1.52 % (2545199)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1578488602:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 7.42/1.52 % (2545200)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3342816468:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/340Mi)
% 7.42/1.52 % (2545198)Instruction limit reached!
% 7.42/1.52 % (2545198)------------------------------
% 7.42/1.52 % (2545198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.52 % (2545198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.52 % (2545198)CaDiCaL version: 2.1.3
% 7.42/1.52 % (2545198)Termination reason: Instruction limit
% 7.42/1.52 % (2545198)Termination phase: Property scanning
% 7.42/1.52 % (2545198)Time elapsed: 0.013 s
% 7.42/1.52 % (2545198)Peak memory usage: 11 MB
% 7.42/1.52 % (2545198)Instructions burned: 29 (million)
% 7.42/1.52 % (2545201)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1892744814:i=227:sd=1:bd=all:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/227Mi)
% 7.42/1.52 % (2545205)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.42/1.52 % (2545205)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3256810169:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/373Mi)
% 7.42/1.52 % (2545195)Instruction limit reached!
% 7.42/1.52 % (2545195)------------------------------
% 7.42/1.52 % (2545195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.52 % (2545195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.52 % (2545195)CaDiCaL version: 2.1.3
% 7.42/1.52 % (2545195)Termination reason: Instruction limit
% 7.42/1.52 % (2545195)Termination phase: Saturation
% 7.42/1.52 % (2545195)Time elapsed: 0.071 s
% 7.42/1.52 % (2545195)Peak memory usage: 15 MB
% 7.42/1.52 % (2545195)Instructions burned: 339 (million)
% 7.42/1.52 % (2545208)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=354703793:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 7.42/1.52 % (2545199)Instruction limit reached!
% 7.42/1.52 % (2545199)------------------------------
% 7.42/1.52 % (2545199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.52 % (2545199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.52 % (2545199)CaDiCaL version: 2.1.3
% 7.42/1.52 % (2545199)Termination reason: Instruction limit
% 7.42/1.52 % (2545199)Termination phase: Saturation
% 7.42/1.52 % (2545199)Time elapsed: 0.058 s
% 7.42/1.52 % (2545199)Peak memory usage: 13 MB
% 7.42/1.52 % (2545199)Instructions burned: 138 (million)
% 7.42/1.52 % (2545210)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3876054015:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.42/1.52 % (2545208)Instruction limit reached!
% 7.42/1.52 % (2545208)------------------------------
% 8.42/1.72 % (2545208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.72 % (2545208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.72 % (2545208)CaDiCaL version: 2.1.3
% 8.42/1.72 % (2545208)Termination reason: Instruction limit
% 8.42/1.72 % (2545208)Termination phase: Saturation
% 8.42/1.72 % (2545208)Time elapsed: 0.029 s
% 8.42/1.72 % (2545208)Peak memory usage: 14 MB
% 8.42/1.72 % (2545208)Instructions burned: 117 (million)
% 8.42/1.72 % (2545212)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=124943739:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2989 on theBenchmark for (2989ds/270Mi)
% 8.42/1.72 % (2545201)Instruction limit reached!
% 8.42/1.72 % (2545201)------------------------------
% 8.42/1.72 % (2545201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.72 % (2545201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.72 % (2545201)CaDiCaL version: 2.1.3
% 8.42/1.72 % (2545201)Termination reason: Instruction limit
% 8.42/1.72 % (2545201)Termination phase: Saturation
% 8.42/1.72 % (2545201)Time elapsed: 0.113 s
% 8.42/1.72 % (2545201)Peak memory usage: 14 MB
% 8.42/1.72 % (2545201)Instructions burned: 228 (million)
% 8.42/1.72 % (2545214)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=2917928835:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/9840Mi)
% 8.42/1.72 % (2545200)Instruction limit reached!
% 8.42/1.72 % (2545200)------------------------------
% 8.42/1.72 % (2545200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.72 % (2545200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.72 % (2545200)CaDiCaL version: 2.1.3
% 8.42/1.72 % (2545200)Termination reason: Instruction limit
% 8.42/1.72 % (2545200)Termination phase: Saturation
% 8.42/1.72 % (2545200)Time elapsed: 0.145 s
% 8.42/1.72 % (2545200)Peak memory usage: 13 MB
% 8.42/1.72 % (2545200)Instructions burned: 342 (million)
% 8.42/1.72 % (2545212)Instruction limit reached!
% 8.42/1.72 % (2545212)------------------------------
% 8.42/1.72 % (2545212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.72 % (2545212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.72 % (2545212)CaDiCaL version: 2.1.3
% 8.42/1.72 % (2545212)Termination reason: Instruction limit
% 8.42/1.72 % (2545212)Termination phase: Saturation
% 8.42/1.72 % (2545212)Time elapsed: 0.066 s
% 8.42/1.72 % (2545212)Peak memory usage: 14 MB
% 8.42/1.72 % (2545212)Instructions burned: 273 (million)
% 8.42/1.72 % (2545186)Instruction limit reached!
% 8.42/1.72 % (2545186)------------------------------
% 8.42/1.72 % (2545186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.72 % (2545186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.72 % (2545186)CaDiCaL version: 2.1.3
% 8.42/1.72 % (2545186)Termination reason: Instruction limit
% 8.42/1.72 % (2545186)Termination phase: Saturation
% 8.42/1.72 % (2545186)Time elapsed: 0.253 s
% 8.42/1.72 % (2545186)Peak memory usage: 17 MB
% 8.42/1.72 % (2545186)Instructions burned: 496 (million)
% 8.42/1.72 % (2545217)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 8.42/1.72 % (2545217)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1403093345:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 8.42/1.72 % (2545216)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3921432707:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 8.42/1.72 % (2545218)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=707594301:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 8.42/1.72 % (2545217)Refutation not found, incomplete strategy
% 8.42/1.72 % (2545217)------------------------------
% 8.42/1.72 % (2545217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.72 % (2545217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/1.91 % (2545217)CaDiCaL version: 2.1.3
% 9.49/1.91 % (2545217)Termination reason: Refutation not found, incomplete strategy
% 9.49/1.91 % (2545217)Time elapsed: 0.024 s
% 9.49/1.91 % (2545217)Peak memory usage: 13 MB
% 9.49/1.91 % (2545217)Instructions burned: 100 (million)
% 9.49/1.91 % (2545217)------------------------------
% 9.49/1.91 % (2545217)------------------------------
% 9.49/1.91 % (2545205)Instruction limit reached!
% 9.49/1.91 % (2545205)------------------------------
% 9.49/1.91 % (2545205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.49/1.91 % (2545205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/1.91 % (2545205)CaDiCaL version: 2.1.3
% 9.49/1.91 % (2545205)Termination reason: Instruction limit
% 9.49/1.91 % (2545205)Termination phase: Saturation
% 9.49/1.91 % (2545205)Time elapsed: 0.168 s
% 9.49/1.91 % (2545205)Peak memory usage: 13 MB
% 9.49/1.91 % (2545205)Instructions burned: 375 (million)
% 9.49/1.91 % (2545218)Instruction limit reached!
% 9.49/1.91 % (2545218)------------------------------
% 9.49/1.91 % (2545218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.49/1.91 % (2545218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/1.91 % (2545218)CaDiCaL version: 2.1.3
% 9.49/1.91 % (2545218)Termination reason: Instruction limit
% 9.49/1.91 % (2545218)Termination phase: Property scanning
% 9.49/1.91 % (2545218)Time elapsed: 0.014 s
% 9.49/1.91 % (2545218)Peak memory usage: 10 MB
% 9.49/1.91 % (2545218)Instructions burned: 34 (million)
% 9.49/1.91 % (2545222)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 9.49/1.91 % (2545222)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
% 9.49/1.91 % (2545222)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=260661608:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 9.49/1.91 % (2545223)dis+10_2_sil=128000:si=on:random_seed=1741029042:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 9.49/1.91 % (2545224)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1793366921:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 9.49/1.91 % (2545224)Instruction limit reached!
% 9.49/1.91 % (2545224)------------------------------
% 9.49/1.91 % (2545224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.49/1.91 % (2545224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/1.91 % (2545224)CaDiCaL version: 2.1.3
% 9.49/1.91 % (2545224)Termination reason: Instruction limit
% 9.49/1.91 % (2545224)Termination phase: Saturation
% 9.49/1.91 % (2545224)Time elapsed: 0.050 s
% 9.49/1.91 % (2545224)Peak memory usage: 13 MB
% 9.49/1.91 % (2545224)Instructions burned: 111 (million)
% 9.49/1.91 % (2545228)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=191648936:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 9.49/1.91 % (2545210)Instruction limit reached!
% 9.49/1.91 % (2545210)------------------------------
% 9.49/1.91 % (2545210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.49/1.91 % (2545210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/1.91 % (2545210)CaDiCaL version: 2.1.3
% 9.49/1.91 % (2545210)Termination reason: Instruction limit
% 9.49/1.91 % (2545210)Termination phase: Saturation
% 9.49/1.91 % (2545210)Time elapsed: 0.259 s
% 9.49/1.91 % (2545210)Peak memory usage: 15 MB
% 9.49/1.91 % (2545210)Instructions burned: 576 (million)
% 9.49/1.91 % (2545228)Instruction limit reached!
% 9.49/1.91 % (2545228)------------------------------
% 9.49/1.91 % (2545228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.49/1.91 % (2545228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/1.91 % (2545228)CaDiCaL version: 2.1.3
% 9.49/1.91 % (2545228)Termination reason: Instruction limit
% 9.49/1.91 % (2545228)Termination phase: Saturation
% 9.49/1.91 % (2545228)Time elapsed: 0.056 s
% 9.49/1.91 % (2545228)Peak memory usage: 14 MB
% 9.49/1.91 % (2545228)Instructions burned: 122 (million)
% 12.51/2.09 % (2545230)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2332222922:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/136Mi)
% 12.51/2.09 % (2545231)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3360111119:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 12.51/2.09 % (2545223)Instruction limit reached!
% 12.51/2.09 % (2545223)------------------------------
% 12.51/2.09 % (2545223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.09 % (2545223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.09 % (2545223)CaDiCaL version: 2.1.3
% 12.51/2.09 % (2545223)Termination reason: Instruction limit
% 12.51/2.09 % (2545223)Termination phase: Saturation
% 12.51/2.09 % (2545223)Time elapsed: 0.152 s
% 12.51/2.09 % (2545223)Peak memory usage: 13 MB
% 12.51/2.09 % (2545223)Instructions burned: 339 (million)
% 12.51/2.09 % (2545216)Instruction limit reached!
% 12.51/2.09 % (2545216)------------------------------
% 12.51/2.09 % (2545216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.09 % (2545216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.09 % (2545216)CaDiCaL version: 2.1.3
% 12.51/2.09 % (2545216)Termination reason: Instruction limit
% 12.51/2.09 % (2545216)Termination phase: Saturation
% 12.51/2.09 % (2545216)Time elapsed: 0.207 s
% 12.51/2.09 % (2545216)Peak memory usage: 14 MB
% 12.51/2.09 % (2545216)Instructions burned: 422 (million)
% 12.51/2.09 % (2545234)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=1735491654:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 12.51/2.09 % (2545235)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.51/2.09 % (2545235)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=768520080:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 12.51/2.09 % (2545230)Instruction limit reached!
% 12.51/2.09 % (2545230)------------------------------
% 12.51/2.09 % (2545230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.09 % (2545230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.09 % (2545230)CaDiCaL version: 2.1.3
% 12.51/2.09 % (2545230)Termination reason: Instruction limit
% 12.51/2.09 % (2545230)Termination phase: Saturation
% 12.51/2.09 % (2545230)Time elapsed: 0.065 s
% 12.51/2.09 % (2545230)Peak memory usage: 14 MB
% 12.51/2.09 % (2545230)Instructions burned: 136 (million)
% 12.51/2.09 % (2545238)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1061950206:i=619:add=on:rtra=on_2986 on theBenchmark for (2986ds/619Mi)
% 12.51/2.09 % (2545231)Instruction limit reached!
% 12.51/2.09 % (2545231)------------------------------
% 12.51/2.09 % (2545231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.09 % (2545231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.09 % (2545231)CaDiCaL version: 2.1.3
% 12.51/2.09 % (2545231)Termination reason: Instruction limit
% 12.51/2.09 % (2545231)Termination phase: Saturation
% 12.51/2.09 % (2545231)Time elapsed: 0.126 s
% 12.51/2.09 % (2545231)Peak memory usage: 15 MB
% 12.51/2.09 % (2545231)Instructions burned: 233 (million)
% 12.51/2.09 % (2545240)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=456299522:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/865Mi)
% 12.51/2.09 % (2545235)Instruction limit reached!
% 12.51/2.09 % (2545235)------------------------------
% 12.51/2.09 % (2545235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.09 % (2545235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.09 % (2545235)CaDiCaL version: 2.1.3
% 12.51/2.09 % (2545235)Termination reason: Instruction limit
% 12.51/2.09 % (2545235)Termination phase: Saturation
% 12.51/2.09 % (2545235)Time elapsed: 0.124 s
% 12.51/2.09 % (2545235)Peak memory usage: 15 MB
% 12.51/2.09 % (2545235)Instructions burned: 283 (million)
% 12.51/2.09 % (2545242)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3951541584:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/212Mi)
% 13.35/2.29 % (2545222)Instruction limit reached!
% 13.35/2.29 % (2545222)------------------------------
% 13.35/2.29 % (2545222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.29 % (2545222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.29 % (2545222)CaDiCaL version: 2.1.3
% 13.35/2.29 % (2545222)Termination reason: Instruction limit
% 13.35/2.29 % (2545222)Termination phase: Saturation
% 13.35/2.29 % (2545222)Time elapsed: 0.356 s
% 13.35/2.29 % (2545222)Peak memory usage: 22 MB
% 13.35/2.29 % (2545222)Instructions burned: 1444 (million)
% 13.35/2.29 % (2545244)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1963692374:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/130Mi)
% 13.35/2.29 % (2545244)Instruction limit reached!
% 13.35/2.29 % (2545244)------------------------------
% 13.35/2.29 % (2545244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.29 % (2545244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.29 % (2545244)CaDiCaL version: 2.1.3
% 13.35/2.29 % (2545244)Termination reason: Instruction limit
% 13.35/2.29 % (2545244)Termination phase: Saturation
% 13.35/2.29 % (2545244)Time elapsed: 0.032 s
% 13.35/2.29 % (2545244)Peak memory usage: 13 MB
% 13.35/2.29 % (2545244)Instructions burned: 130 (million)
% 13.35/2.29 % (2545246)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3217795752:st=1.5:i=346:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/346Mi)
% 13.35/2.29 % (2545242)Instruction limit reached!
% 13.35/2.29 % (2545242)------------------------------
% 13.35/2.29 % (2545242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.29 % (2545242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.29 % (2545242)CaDiCaL version: 2.1.3
% 13.35/2.29 % (2545242)Termination reason: Instruction limit
% 13.35/2.29 % (2545242)Termination phase: Saturation
% 13.35/2.29 % (2545242)Time elapsed: 0.102 s
% 13.35/2.29 % (2545242)Peak memory usage: 14 MB
% 13.35/2.29 % (2545242)Instructions burned: 213 (million)
% 13.35/2.29 % (2545248)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1026049327:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/152Mi)
% 13.35/2.29 % (2545246)Instruction limit reached!
% 13.35/2.29 % (2545246)------------------------------
% 13.35/2.29 % (2545246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.29 % (2545246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.29 % (2545246)CaDiCaL version: 2.1.3
% 13.35/2.29 % (2545246)Termination reason: Instruction limit
% 13.35/2.29 % (2545246)Termination phase: Saturation
% 13.35/2.29 % (2545246)Time elapsed: 0.086 s
% 13.35/2.29 % (2545246)Peak memory usage: 15 MB
% 13.35/2.29 % (2545246)Instructions burned: 348 (million)
% 13.35/2.29 % (2545238)Instruction limit reached!
% 13.35/2.29 % (2545238)------------------------------
% 13.35/2.29 % (2545238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.29 % (2545238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.29 % (2545238)CaDiCaL version: 2.1.3
% 13.35/2.29 % (2545238)Termination reason: Instruction limit
% 13.35/2.29 % (2545238)Termination phase: Saturation
% 13.35/2.29 % (2545238)Time elapsed: 0.260 s
% 13.35/2.29 % (2545238)Peak memory usage: 15 MB
% 13.35/2.29 % (2545238)Instructions burned: 620 (million)
% 13.35/2.29 % (2545250)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=243969122:i=75:ep=R:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/75Mi)
% 13.35/2.29 % (2545251)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3485330137:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/387Mi)
% 13.35/2.29 % (2545250)Instruction limit reached!
% 13.35/2.29 % (2545250)------------------------------
% 13.35/2.29 % (2545250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.29 % (2545250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.29 % (2545250)CaDiCaL version: 2.1.3
% 13.35/2.29 % (2545250)Termination reason: Instruction limit
% 13.35/2.29 % (2545250)Termination phase: Saturation
% 13.35/2.29 % (2545250)Time elapsed: 0.017 s
% 13.35/2.29 % (2545250)Peak memory usage: 12 MB
% 13.35/2.29 % (2545250)Instructions burned: 79 (million)
% 15.32/2.53 % (2545248)Instruction limit reached!
% 15.32/2.53 % (2545248)------------------------------
% 15.32/2.53 % (2545248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.53 % (2545248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.53 % (2545248)CaDiCaL version: 2.1.3
% 15.32/2.53 % (2545248)Termination reason: Instruction limit
% 15.32/2.53 % (2545248)Termination phase: Saturation
% 15.32/2.53 % (2545248)Time elapsed: 0.070 s
% 15.32/2.53 % (2545248)Peak memory usage: 13 MB
% 15.32/2.53 % (2545248)Instructions burned: 153 (million)
% 15.32/2.53 % (2545254)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=2010516809:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2983 on theBenchmark for (2983ds/148Mi)
% 15.32/2.53 % (2545255)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1534021461:i=161:piset=and:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/161Mi)
% 15.32/2.53 % (2545254)Instruction limit reached!
% 15.32/2.53 % (2545254)------------------------------
% 15.32/2.53 % (2545254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.53 % (2545254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.53 % (2545254)CaDiCaL version: 2.1.3
% 15.32/2.53 % (2545254)Termination reason: Instruction limit
% 15.32/2.53 % (2545254)Termination phase: Saturation
% 15.32/2.53 % (2545254)Time elapsed: 0.079 s
% 15.32/2.53 % (2545254)Peak memory usage: 13 MB
% 15.32/2.53 % (2545254)Instructions burned: 153 (million)
% 15.32/2.53 % (2545255)Instruction limit reached!
% 15.32/2.53 % (2545255)------------------------------
% 15.32/2.53 % (2545255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.53 % (2545255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.53 % (2545255)CaDiCaL version: 2.1.3
% 15.32/2.53 % (2545255)Termination reason: Instruction limit
% 15.32/2.53 % (2545255)Termination phase: Saturation
% 15.32/2.53 % (2545255)Time elapsed: 0.076 s
% 15.32/2.53 % (2545255)Peak memory usage: 13 MB
% 15.32/2.53 % (2545255)Instructions burned: 161 (million)
% 15.32/2.53 % (2545258)lrs+10_1_sil=128000:si=on:random_seed=3572452932:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 15.32/2.53 % (2545259)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1909651388:i=136:add=on:ins=4:rtra=on:sup=off_2982 on theBenchmark for (2982ds/136Mi)
% 15.32/2.53 % (2545240)Instruction limit reached!
% 15.32/2.53 % (2545240)------------------------------
% 15.32/2.53 % (2545240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.53 % (2545240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.53 % (2545240)CaDiCaL version: 2.1.3
% 15.32/2.53 % (2545240)Termination reason: Instruction limit
% 15.32/2.53 % (2545240)Termination phase: Saturation
% 15.32/2.53 % (2545240)Time elapsed: 0.385 s
% 15.32/2.53 % (2545240)Peak memory usage: 18 MB
% 15.32/2.53 % (2545240)Instructions burned: 866 (million)
% 15.32/2.53 % (2545251)Instruction limit reached!
% 15.32/2.53 % (2545251)------------------------------
% 15.32/2.53 % (2545251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.53 % (2545251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.53 % (2545251)CaDiCaL version: 2.1.3
% 15.32/2.53 % (2545251)Termination reason: Instruction limit
% 15.32/2.53 % (2545251)Termination phase: Saturation
% 15.32/2.53 % (2545251)Time elapsed: 0.178 s
% 15.32/2.53 % (2545251)Peak memory usage: 15 MB
% 15.32/2.53 % (2545251)Instructions burned: 387 (million)
% 15.32/2.53 % (2545259)Instruction limit reached!
% 15.32/2.53 % (2545259)------------------------------
% 15.32/2.53 % (2545259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.53 % (2545259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.53 % (2545259)CaDiCaL version: 2.1.3
% 15.32/2.53 % (2545259)Termination reason: Instruction limit
% 15.32/2.53 % (2545259)Termination phase: Saturation
% 15.32/2.53 % (2545259)Time elapsed: 0.064 s
% 15.32/2.53 % (2545259)Peak memory usage: 13 MB
% 15.32/2.53 % (2545259)Instructions burned: 136 (million)
% 15.32/2.53 % (2545262)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=3412345231:i=88:s2at=3:nm=2:rtra=on:rawr=on_2981 on theBenchmark for (2981ds/88Mi)
% 16.01/2.74 % (2545263)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1536725638:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2981 on theBenchmark for (2981ds/93Mi)
% 16.01/2.74 % (2545265)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=212375872:i=2186:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/2186Mi)
% 16.01/2.74 % (2545262)Instruction limit reached!
% 16.01/2.74 % (2545262)------------------------------
% 16.01/2.74 % (2545262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.74 % (2545262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.74 % (2545262)CaDiCaL version: 2.1.3
% 16.01/2.74 % (2545262)Termination reason: Instruction limit
% 16.01/2.74 % (2545262)Termination phase: Saturation
% 16.01/2.74 % (2545262)Time elapsed: 0.037 s
% 16.01/2.74 % (2545262)Peak memory usage: 13 MB
% 16.01/2.74 % (2545262)Instructions burned: 89 (million)
% 16.01/2.74 % (2545263)Instruction limit reached!
% 16.01/2.74 % (2545263)------------------------------
% 16.01/2.74 % (2545263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.74 % (2545263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.74 % (2545263)CaDiCaL version: 2.1.3
% 16.01/2.74 % (2545263)Termination reason: Instruction limit
% 16.01/2.74 % (2545263)Termination phase: Saturation
% 16.01/2.74 % (2545263)Time elapsed: 0.040 s
% 16.01/2.74 % (2545263)Peak memory usage: 13 MB
% 16.01/2.74 % (2545263)Instructions burned: 94 (million)
% 16.01/2.74 % (2545268)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=784449632:s2a=on:i=240:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/240Mi)
% 16.01/2.74 % (2545269)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1945992752:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2981 on theBenchmark for (2981ds/805Mi)
% 16.01/2.74 % (2545234)Instruction limit reached!
% 16.01/2.74 % (2545234)------------------------------
% 16.01/2.74 % (2545234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.74 % (2545234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.74 % (2545234)CaDiCaL version: 2.1.3
% 16.01/2.74 % (2545234)Termination reason: Instruction limit
% 16.01/2.74 % (2545234)Termination phase: Saturation
% 16.01/2.74 % (2545234)Time elapsed: 0.669 s
% 16.01/2.74 % (2545234)Peak memory usage: 25 MB
% 16.01/2.74 % (2545234)Instructions burned: 1254 (million)
% 16.01/2.74 % (2545272)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 16.01/2.74 % (2545258)Instruction limit reached!
% 16.01/2.74 % (2545258)------------------------------
% 16.01/2.74 % (2545258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.74 % (2545258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.74 % (2545258)CaDiCaL version: 2.1.3
% 16.01/2.74 % (2545258)Termination reason: Instruction limit
% 16.01/2.74 % (2545258)Termination phase: Saturation
% 16.01/2.74 % (2545258)Time elapsed: 0.237 s
% 16.01/2.74 % (2545258)Peak memory usage: 17 MB
% 16.01/2.74 % (2545258)Instructions burned: 889 (million)
% 16.01/2.74 % (2545272)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2448255328:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2980 on theBenchmark for (2980ds/391Mi)
% 16.01/2.74 % (2545273)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3934696407:i=355:av=off:fsr=off:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/355Mi)
% 16.01/2.74 % (2545268)Instruction limit reached!
% 16.01/2.74 % (2545268)------------------------------
% 16.01/2.74 % (2545268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.74 % (2545268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.74 % (2545268)CaDiCaL version: 2.1.3
% 16.01/2.74 % (2545268)Termination reason: Instruction limit
% 16.01/2.74 % (2545268)Termination phase: Saturation
% 16.01/2.74 % (2545268)Time elapsed: 0.123 s
% 16.01/2.74 % (2545268)Peak memory usage: 15 MB
% 16.01/2.74 % (2545268)Instructions burned: 241 (million)
% 16.01/2.74 % (2545276)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1694870280:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/314Mi)
% 16.01/2.77 % (2545273)Instruction limit reached!
% 16.01/2.77 % (2545273)------------------------------
% 16.01/2.77 % (2545273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.77 % (2545273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.77 % (2545273)CaDiCaL version: 2.1.3
% 16.01/2.77 % (2545273)Termination reason: Instruction limit
% 16.01/2.77 % (2545273)Termination phase: Saturation
% 16.01/2.77 % (2545273)Time elapsed: 0.088 s
% 16.01/2.77 % (2545273)Peak memory usage: 14 MB
% 16.01/2.77 % (2545273)Instructions burned: 360 (million)
% 16.01/2.77 % (2545278)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2458180551:s2a=on:i=251:fsr=off:rtra=on_2979 on theBenchmark for (2979ds/251Mi)
% 16.01/2.77 % (2545278)Instruction limit reached!
% 16.01/2.77 % (2545278)------------------------------
% 16.01/2.77 % (2545278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.77 % (2545278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.77 % (2545278)CaDiCaL version: 2.1.3
% 16.01/2.77 % (2545278)Termination reason: Instruction limit
% 16.01/2.78 % (2545278)Termination phase: Saturation
% 16.01/2.78 % (2545278)Time elapsed: 0.053 s
% 16.01/2.78 % (2545278)Peak memory usage: 13 MB
% 16.01/2.78 % (2545278)Instructions burned: 252 (million)
% 16.01/2.78 % (2545280)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1292783947:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2978 on theBenchmark for (2978ds/2470Mi)
% 16.01/2.78 % (2545272)Instruction limit reached!
% 16.01/2.78 % (2545272)------------------------------
% 16.01/2.78 % (2545272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545272)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545272)Termination reason: Instruction limit
% 16.01/2.78 % (2545272)Termination phase: Saturation
% 16.01/2.78 % (2545272)Time elapsed: 0.181 s
% 16.01/2.78 % (2545272)Peak memory usage: 14 MB
% 16.01/2.78 % (2545272)Instructions burned: 392 (million)
% 16.01/2.78 % (2545276)Instruction limit reached!
% 16.01/2.78 % (2545276)------------------------------
% 16.01/2.78 % (2545276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545276)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545276)Termination reason: Instruction limit
% 16.01/2.78 % (2545276)Termination phase: Saturation
% 16.01/2.78 % (2545276)Time elapsed: 0.162 s
% 16.01/2.78 % (2545276)Peak memory usage: 14 MB
% 16.01/2.78 % (2545276)Instructions burned: 315 (million)
% 16.01/2.78 % (2545282)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3727488951:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2978 on theBenchmark for (2978ds/673Mi)
% 16.01/2.78 % (2545283)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=653627835:i=116:ep=RSTC:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/116Mi)
% 16.01/2.78 % (2545269)Refutation not found, incomplete strategy
% 16.01/2.78 % (2545269)------------------------------
% 16.01/2.78 % (2545269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545269)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545269)Termination reason: Refutation not found, incomplete strategy
% 16.01/2.78 % (2545269)Time elapsed: 0.326 s
% 16.01/2.78 % (2545269)Peak memory usage: 21 MB
% 16.01/2.78 % (2545269)Instructions burned: 717 (million)
% 16.01/2.78 % (2545269)------------------------------
% 16.01/2.78 % (2545269)------------------------------
% 16.01/2.78 % (2545286)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2932921131:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2977 on theBenchmark for (2977ds/270Mi)
% 16.01/2.78 % (2545283)Instruction limit reached!
% 16.01/2.78 % (2545283)------------------------------
% 16.01/2.78 % (2545283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545283)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545283)Termination reason: Instruction limit
% 16.01/2.78 % (2545283)Termination phase: Saturation
% 16.01/2.78 % (2545283)Time elapsed: 0.057 s
% 16.01/2.78 % (2545283)Peak memory usage: 14 MB
% 16.01/2.78 % (2545283)Instructions burned: 116 (million)
% 16.01/2.78 % (2545288)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=3313545502:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2977 on theBenchmark for (2977ds/30Mi)
% 16.01/2.78 % (2545288)Instruction limit reached!
% 16.01/2.78 % (2545288)------------------------------
% 16.01/2.78 % (2545288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545288)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545288)Termination reason: Instruction limit
% 16.01/2.78 % (2545288)Termination phase: Preprocessing 3
% 16.01/2.78 % (2545288)Time elapsed: 0.014 s
% 16.01/2.78 % (2545288)Peak memory usage: 11 MB
% 16.01/2.78 % (2545288)Instructions burned: 30 (million)
% 16.01/2.78 % (2545290)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.01/2.78 % (2545290)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3737409141:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2976 on theBenchmark for (2976ds/39Mi)
% 16.01/2.78 % (2545290)Instruction limit reached!
% 16.01/2.78 % (2545290)------------------------------
% 16.01/2.78 % (2545290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545290)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545290)Termination reason: Instruction limit
% 16.01/2.78 % (2545290)Termination phase: Function definition elimination
% 16.01/2.78 % (2545290)Time elapsed: 0.017 s
% 16.01/2.78 % (2545290)Peak memory usage: 11 MB
% 16.01/2.78 % (2545290)Instructions burned: 40 (million)
% 16.01/2.78 % (2545292)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=610002147:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2976 on theBenchmark for (2976ds/365Mi)
% 16.01/2.78 % (2545286)Instruction limit reached!
% 16.01/2.78 % (2545286)------------------------------
% 16.01/2.78 % (2545286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545286)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545286)Termination reason: Instruction limit
% 16.01/2.78 % (2545286)Termination phase: Saturation
% 16.01/2.78 % (2545286)Time elapsed: 0.121 s
% 16.01/2.78 % (2545286)Peak memory usage: 14 MB
% 16.01/2.78 % (2545286)Instructions burned: 270 (million)
% 16.01/2.78 % (2545294)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1841902326:i=158:av=off:rtra=on_2976 on theBenchmark for (2976ds/158Mi)
% 16.01/2.78 % (2545294)Instruction limit reached!
% 16.01/2.78 % (2545294)------------------------------
% 16.01/2.78 % (2545294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545294)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545294)Termination reason: Instruction limit
% 16.01/2.78 % (2545294)Termination phase: Saturation
% 16.01/2.78 % (2545294)Time elapsed: 0.079 s
% 16.01/2.78 % (2545294)Peak memory usage: 13 MB
% 16.01/2.78 % (2545294)Instructions burned: 159 (million)
% 16.01/2.78 % (2545282)Instruction limit reached!
% 16.01/2.78 % (2545282)------------------------------
% 16.01/2.78 % (2545282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545282)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545282)Termination reason: Instruction limit
% 16.01/2.78 % (2545282)Termination phase: Saturation
% 16.01/2.78 % (2545282)Time elapsed: 0.276 s
% 16.01/2.78 % (2545282)Peak memory usage: 14 MB
% 16.01/2.78 % (2545282)Instructions burned: 674 (million)
% 16.01/2.78 % (2545296)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 16.01/2.78 % (2545296)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3854538562:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/252Mi)
% 16.01/2.78 % (2545280) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2545043-2545280"...
% 16.01/2.78 % (2545297)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1442935186:i=213:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/213Mi)
% 16.01/2.78 % (2545280)...printing done.
% 16.01/2.78 % (2545280)Refutation found. Thanks to Tanya!
% 16.01/2.78 % SZS status Theorem for theBenchmark
% 16.01/2.78 % SZS output start Proof for theBenchmark
% 16.01/2.78 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 16.01/2.78 thf(func_def_0, type, in: ($i > $i > $o)).
% 16.01/2.78 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 16.01/2.78 thf(func_def_3, type, setextAx: $o).
% 16.01/2.78 thf(func_def_5, type, emptysetAx: $o).
% 16.01/2.78 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 16.01/2.78 thf(func_def_7, type, setadjoinAx: $o).
% 16.01/2.78 thf(func_def_8, type, powerset: ($i > $i)).
% 16.01/2.78 thf(func_def_9, type, powersetAx: $o).
% 16.01/2.78 thf(func_def_10, type, setunion: ($i > $i)).
% 16.01/2.78 thf(func_def_11, type, setunionAx: $o).
% 16.01/2.78 thf(func_def_13, type, omega0Ax: $o).
% 16.01/2.78 thf(func_def_14, type, omegaSAx: $o).
% 16.01/2.78 thf(func_def_15, type, omegaIndAx: $o).
% 16.01/2.78 thf(func_def_16, type, replAx: $o).
% 16.01/2.78 thf(func_def_17, type, foundationAx: $o).
% 16.01/2.78 thf(func_def_18, type, wellorderingAx: $o).
% 16.01/2.78 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 16.01/2.78 thf(func_def_20, type, descrp: $o).
% 16.01/2.78 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 16.01/2.78 thf(func_def_22, type, dsetconstrI: $o).
% 16.01/2.78 thf(func_def_23, type, dsetconstrEL: $o).
% 16.01/2.78 thf(func_def_24, type, dsetconstrER: $o).
% 16.01/2.78 thf(func_def_25, type, exuE1: $o).
% 16.01/2.78 thf(func_def_26, type, prop2set: ($o > $i)).
% 16.01/2.78 thf(func_def_27, type, prop2setE: $o).
% 16.01/2.78 thf(func_def_28, type, emptysetE: $o).
% 16.01/2.78 thf(func_def_29, type, emptysetimpfalse: $o).
% 16.01/2.78 thf(func_def_30, type, notinemptyset: $o).
% 16.01/2.78 thf(func_def_31, type, exuE3e: $o).
% 16.01/2.78 thf(func_def_32, type, setext: $o).
% 16.01/2.78 thf(func_def_33, type, emptyI: $o).
% 16.01/2.78 thf(func_def_34, type, noeltsimpempty: $o).
% 16.01/2.78 thf(func_def_35, type, setbeta: $o).
% 16.01/2.78 thf(func_def_36, type, nonempty: ($i > $o)).
% 16.01/2.78 thf(func_def_37, type, nonemptyE1: $o).
% 16.01/2.78 thf(func_def_38, type, nonemptyI: $o).
% 16.01/2.78 thf(func_def_39, type, nonemptyI1: $o).
% 16.01/2.78 thf(func_def_40, type, setadjoinIL: $o).
% 16.01/2.78 thf(func_def_41, type, emptyinunitempty: $o).
% 16.01/2.78 thf(func_def_42, type, setadjoinIR: $o).
% 16.01/2.78 thf(func_def_43, type, setadjoinE: $o).
% 16.01/2.78 thf(func_def_44, type, setadjoinOr: $o).
% 16.01/2.78 thf(func_def_45, type, setoftrueEq: $o).
% 16.01/2.78 thf(func_def_46, type, powersetI: $o).
% 16.01/2.78 thf(func_def_47, type, emptyinPowerset: $o).
% 16.01/2.78 thf(func_def_48, type, emptyInPowerset: $o).
% 16.01/2.78 thf(func_def_49, type, powersetE: $o).
% 16.01/2.78 thf(func_def_50, type, setunionI: $o).
% 16.01/2.78 thf(func_def_51, type, setunionE: $o).
% 16.01/2.78 thf(func_def_52, type, subPowSU: $o).
% 16.01/2.78 thf(func_def_53, type, exuE2: $o).
% 16.01/2.78 thf(func_def_54, type, nonemptyImpWitness: $o).
% 16.01/2.78 thf(func_def_55, type, uniqinunit: $o).
% 16.01/2.78 thf(func_def_56, type, notinsingleton: $o).
% 16.01/2.78 thf(func_def_57, type, eqinunit: $o).
% 16.01/2.78 thf(func_def_58, type, singletonsswitch: $o).
% 16.01/2.78 thf(func_def_59, type, upairsetE: $o).
% 16.01/2.78 thf(func_def_60, type, upairsetIL: $o).
% 16.01/2.78 thf(func_def_61, type, upairsetIR: $o).
% 16.01/2.78 thf(func_def_62, type, emptyE1: $o).
% 16.01/2.78 thf(func_def_63, type, vacuousDall: $o).
% 16.01/2.78 thf(func_def_64, type, quantDeMorgan1: $o).
% 16.01/2.78 thf(func_def_65, type, quantDeMorgan2: $o).
% 16.01/2.78 thf(func_def_66, type, quantDeMorgan3: $o).
% 16.01/2.78 thf(func_def_67, type, quantDeMorgan4: $o).
% 16.01/2.78 thf(func_def_68, type, prop2setI: $o).
% 16.01/2.78 thf(func_def_69, type, set2prop: ($i > $o)).
% 16.01/2.78 thf(func_def_70, type, prop2set2propI: $o).
% 16.01/2.78 thf(func_def_71, type, notdexE: $o).
% 16.01/2.78 thf(func_def_72, type, notdallE: $o).
% 16.01/2.78 thf(func_def_73, type, exuI1: $o).
% 16.01/2.78 thf(func_def_74, type, exuI3: $o).
% 16.01/2.78 thf(func_def_75, type, exuI2: $o).
% 16.01/2.78 thf(func_def_76, type, inCongP: $o).
% 16.01/2.78 thf(func_def_77, type, in__Cong: $o).
% 16.01/2.78 thf(func_def_78, type, exuE3u: $o).
% 16.01/2.78 thf(func_def_79, type, exu__Cong: $o).
% 16.01/2.78 thf(func_def_80, type, emptyset__Cong: $o).
% 16.01/2.78 thf(func_def_81, type, setadjoin__Cong: $o).
% 16.01/2.78 thf(func_def_82, type, powerset__Cong: $o).
% 16.01/2.78 thf(func_def_83, type, setunion__Cong: $o).
% 16.01/2.78 thf(func_def_84, type, omega__Cong: $o).
% 16.01/2.78 thf(func_def_85, type, exuEu: $o).
% 16.01/2.78 thf(func_def_86, type, descr__Cong: $o).
% 16.01/2.78 thf(func_def_87, type, dsetconstr__Cong: $o).
% 16.01/2.78 thf(func_def_88, type, subset: ($i > $i > $o)).
% 16.01/2.78 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 16.01/2.78 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 16.01/2.78 thf(func_def_91, type, subsetI1: $o).
% 16.01/2.78 thf(func_def_92, type, eqimpsubset2: $o).
% 16.01/2.78 thf(func_def_93, type, eqimpsubset1: $o).
% 16.01/2.78 thf(func_def_94, type, subsetI2: $o).
% 16.01/2.78 thf(func_def_95, type, emptysetsubset: $o).
% 16.01/2.78 thf(func_def_96, type, subsetE: $o).
% 16.01/2.78 thf(func_def_97, type, subsetE2: $o).
% 16.01/2.78 thf(func_def_98, type, notsubsetI: $o).
% 16.01/2.78 thf(func_def_99, type, notequalI1: $o).
% 16.01/2.78 thf(func_def_100, type, notequalI2: $o).
% 16.01/2.78 thf(func_def_101, type, subsetRefl: $o).
% 16.01/2.78 thf(func_def_102, type, subsetTrans: $o).
% 16.01/2.78 thf(func_def_103, type, setadjoinSub: $o).
% 16.01/2.78 thf(func_def_104, type, setadjoinSub2: $o).
% 16.01/2.78 thf(func_def_105, type, subset2powerset: $o).
% 16.01/2.78 thf(func_def_106, type, setextsub: $o).
% 16.01/2.78 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 16.01/2.78 thf(func_def_108, type, powersetI1: $o).
% 16.01/2.78 thf(func_def_109, type, powersetE1: $o).
% 16.01/2.78 thf(func_def_110, type, inPowerset: $o).
% 16.01/2.78 thf(func_def_111, type, powersetsubset: $o).
% 16.01/2.78 thf(func_def_112, type, sepInPowerset: $o).
% 16.01/2.78 thf(func_def_113, type, sepSubset: $o).
% 16.01/2.78 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 16.01/2.78 thf(func_def_115, type, binunionIL: $o).
% 16.01/2.78 thf(func_def_116, type, upairset2IR: $o).
% 16.01/2.78 thf(func_def_117, type, binunionIR: $o).
% 16.01/2.78 thf(func_def_118, type, binunionEcases: $o).
% 16.01/2.78 thf(func_def_119, type, binunionE: $o).
% 16.01/2.78 thf(func_def_120, type, binunionLsub: $o).
% 16.01/2.78 thf(func_def_121, type, binunionRsub: $o).
% 16.01/2.78 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 16.01/2.78 thf(func_def_123, type, binintersectI: $o).
% 16.01/2.78 thf(func_def_124, type, binintersectSubset5: $o).
% 16.01/2.78 thf(func_def_125, type, binintersectEL: $o).
% 16.01/2.78 thf(func_def_126, type, binintersectLsub: $o).
% 16.01/2.78 thf(func_def_127, type, binintersectSubset2: $o).
% 16.01/2.78 thf(func_def_128, type, binintersectSubset3: $o).
% 16.01/2.78 thf(func_def_129, type, binintersectER: $o).
% 16.01/2.78 thf(func_def_130, type, disjointsetsI1: $o).
% 16.01/2.78 thf(func_def_131, type, binintersectRsub: $o).
% 16.01/2.78 thf(func_def_132, type, binintersectSubset4: $o).
% 16.01/2.78 thf(func_def_133, type, binintersectSubset1: $o).
% 16.01/2.78 thf(func_def_134, type, bs114d: $o).
% 16.01/2.78 thf(func_def_135, type, regular: ($i > $o)).
% 16.01/2.78 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 16.01/2.78 thf(func_def_137, type, setminusI: $o).
% 16.01/2.78 thf(func_def_138, type, setminusEL: $o).
% 16.01/2.78 thf(func_def_139, type, setminusER: $o).
% 16.01/2.78 thf(func_def_140, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 16.01/2.78 thf(func_def_141, type, vNOT: ($o > $o)).
% 16.01/2.78 thf(func_def_142, type, db0: !>[X0: $tType]:(X0)).
% 16.01/2.78 thf(func_def_143, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 16.01/2.78 thf(func_def_144, type, vIMP: ($o > $o > $o)).
% 16.01/2.78 thf(func_def_145, type, db2: !>[X0: $tType]:(X0)).
% 16.01/2.78 thf(func_def_146, type, db1: !>[X0: $tType]:(X0)).
% 16.01/2.78 thf(func_def_147, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 16.01/2.78 thf(func_def_148, type, vIFF: ($o > $o > $o)).
% 16.01/2.78 thf(func_def_149, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 16.01/2.78 thf(func_def_150, type, vAND: ($o > $o > $o)).
% 16.01/2.78 thf(func_def_151, type, db3: !>[X0: $tType]:(X0)).
% 16.01/2.78 thf(func_def_152, type, db4: !>[X0: $tType]:(X0)).
% 16.01/2.78 thf(func_def_155, type, vOR: ($o > $o > $o)).
% 16.01/2.78 thf(func_def_156, type, db5: !>[X0: $tType]:(X0)).
% 16.01/2.78 thf(func_def_160, type, sK3: ($i > $i)).
% 16.01/2.78 thf(func_def_161, type, sK4: ($i > $i)).
% 16.01/2.78 thf(func_def_162, type, sK5: ($i > $i > $i)).
% 16.01/2.78 thf(func_def_163, type, sK6: ($i > $i > $i)).
% 16.01/2.78 thf(f2,axiom,(
% 16.01/2.78 (setextAx = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) <=> (in @ X2 @ X1)) => (X0 = X1)))),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextAx)).
% 16.01/2.78 thf(f20,axiom,(
% 16.01/2.78 (! [X0 : $i] : ((in @ X0 @ emptyset) => $false) = emptysetimpfalse)),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse)).
% 16.01/2.78 thf(f112,axiom,(
% 16.01/2.78 (! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => (((binintersect @ X0 @ X1)) = X0)) = binintersectSubset2)),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset2)).
% 16.01/2.78 thf(f114,axiom,(
% 16.01/2.78 (! [X1 : $i,X2 : $i,X0 : $i] : ((in @ X2 @ (binintersect @ X0 @ X1)) => (in @ X2 @ X1)) = binintersectER)),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectER)).
% 16.01/2.78 thf(f121,axiom,(
% 16.01/2.78 (setminusEL = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (setminus @ X0 @ X1)) => (in @ X2 @ X0)))),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusEL)).
% 16.01/2.78 thf(f122,axiom,(
% 16.01/2.78 (! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X2 @ (setminus @ X0 @ X1)) => ~(in @ X2 @ X1)) = setminusER)),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER)).
% 16.01/2.78 thf(f123,conjecture,(
% 16.01/2.78 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => ! [X1 : $i,X0 : $i] : ((subset @ X0 @ X1) => (((setminus @ X0 @ X1)) = emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.01/2.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusSubset2)).
% 16.01/2.78 thf(f124,negated_conjecture,(
% 16.01/2.78 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => ! [X1 : $i,X0 : $i] : ((subset @ X0 @ X1) => (((setminus @ X0 @ X1)) = emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.01/2.78 inference(negated_conjecture,[status(cth)],[f123])).
% 16.01/2.78 thf(f131,plain,(
% 16.01/2.78 (! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => (((binintersect @ X0 @ X1)) = X0)) = binintersectSubset2)),
% 16.01/2.78 inference(rectify,[],[f112])).
% 16.01/2.78 thf(f132,plain,(
% 16.01/2.78 (binintersectSubset2 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((binintersect @ Y1 @ Y0) = Y1))))))))),
% 16.01/2.78 inference(fool_elimination,[],[f131])).
% 16.01/2.78 thf(f157,plain,(
% 16.01/2.78 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => ! [X0 : $i,X1 : $i] : ((subset @ X1 @ X0) => (emptyset = ((setminus @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.01/2.78 inference(rectify,[],[f124])).
% 16.01/2.78 thf(f158,plain,(
% 16.01/2.78 (((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 16.01/2.78 inference(fool_elimination,[],[f157])).
% 16.01/2.78 thf(f161,plain,(
% 16.01/2.78 (! [X0 : $i] : ((in @ X0 @ emptyset) => $false) = emptysetimpfalse)),
% 16.01/2.78 inference(rectify,[],[f20])).
% 16.01/2.78 thf(f162,plain,(
% 16.01/2.78 (emptysetimpfalse = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => $false)))))),
% 16.01/2.78 inference(fool_elimination,[],[f161])).
% 16.01/2.78 thf(f165,plain,(
% 16.01/2.78 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ (binintersect @ X2 @ X0)) => (in @ X1 @ X0)) = binintersectER)),
% 16.01/2.78 inference(rectify,[],[f114])).
% 16.01/2.78 thf(f166,plain,(
% 16.01/2.78 (binintersectER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binintersect @ Y0 @ Y2)) => (in @ Y1 @ Y2))))))))))),
% 16.01/2.78 inference(fool_elimination,[],[f165])).
% 16.01/2.78 thf(f176,plain,(
% 16.01/2.78 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (setminus @ X1 @ X0)) => ~(in @ X2 @ X0)) = setminusER)),
% 16.01/2.78 inference(rectify,[],[f122])).
% 16.01/2.78 thf(f177,plain,(
% 16.01/2.78 (setminusER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y1 @ Y2)) => (~ (in @ Y0 @ Y2)))))))))))),
% 16.01/2.78 inference(fool_elimination,[],[f176])).
% 16.01/2.78 thf(f216,plain,(
% 16.01/2.78 (setextAx = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) <=> (in @ X2 @ X1)) => (X0 = X1)))),
% 16.01/2.78 inference(rectify,[],[f2])).
% 16.01/2.78 thf(f217,plain,(
% 16.01/2.78 (setextAx = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (in @ Y2 @ Y0)))) => (Y1 = Y0))))))))),
% 16.01/2.78 inference(fool_elimination,[],[f216])).
% 16.01/2.78 thf(f359,plain,(
% 16.01/2.78 (setminusEL = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (setminus @ X0 @ X1)) => (in @ X2 @ X0)))),
% 16.01/2.78 inference(rectify,[],[f121])).
% 16.01/2.78 thf(f360,plain,(
% 16.01/2.78 (setminusEL = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))))))),
% 16.01/2.78 inference(fool_elimination,[],[f359])).
% 16.01/2.78 thf(f400,plain,(
% 16.01/2.78 (setminusER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y1 @ Y2)) => (~ (in @ Y0 @ Y2)))))))))))),
% 16.01/2.78 inference(cnf_transformation,[],[f177])).
% 16.01/2.78 thf(f406,plain,(
% 16.01/2.78 (emptysetimpfalse = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => $false)))))),
% 16.01/2.78 inference(cnf_transformation,[],[f162])).
% 16.01/2.78 thf(f454,plain,(
% 16.01/2.78 (((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 16.01/2.78 inference(cnf_transformation,[],[f158])).
% 16.01/2.78 thf(f455,plain,(
% 16.01/2.78 (setextAx = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (in @ Y2 @ Y0)))) => (Y1 = Y0))))))))),
% 16.01/2.78 inference(cnf_transformation,[],[f217])).
% 16.01/2.78 thf(f459,plain,(
% 16.01/2.78 (binintersectER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binintersect @ Y0 @ Y2)) => (in @ Y1 @ Y2))))))))))),
% 16.01/2.78 inference(cnf_transformation,[],[f166])).
% 16.01/2.78 thf(f465,plain,(
% 16.01/2.78 (setminusEL = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))))))),
% 16.01/2.78 inference(cnf_transformation,[],[f360])).
% 16.01/2.78 thf(f466,plain,(
% 16.01/2.78 (binintersectSubset2 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((binintersect @ Y1 @ Y0) = Y1))))))))),
% 16.01/2.78 inference(cnf_transformation,[],[f132])).
% 16.01/2.78 thf(f488,definition,(
% 16.01/2.78 ($true != $false)),
% 16.01/2.78 introduced(theory,[fool_distinctness_axiom])).
% 16.01/2.78 thf(f531,plain,(
% 16.01/2.78 (emptysetimpfalse = ((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))))),
% 16.01/2.78 inference(boolean_simplification,[],[f406])).
% 16.01/2.78 thf(f553,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y1 @ Y2)) => (~ (in @ Y0 @ Y2)))))))))) = $true) | (setminusER = $false)),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f400])).
% 16.01/2.78 thf(f561,plain,(
% 16.01/2.78 (binintersectER = $false) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binintersect @ Y0 @ Y2)) => (in @ Y1 @ Y2))))))))) = $true)),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f459])).
% 16.01/2.78 thf(f581,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((binintersect @ Y1 @ Y0) = Y1))))))) = $true) | (binintersectSubset2 = $false)),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f466])).
% 16.01/2.78 thf(f721,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))))) = $true) | (setminusEL = $false)),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f465])).
% 16.01/2.78 thf(f729,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))) = $true) | (emptysetimpfalse = $false)),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f531])).
% 16.01/2.78 thf(f734,plain,(
% 16.01/2.78 (((setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(not_proxy_clausification,[],[f454])).
% 16.01/2.78 thf(f746,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) = $true) | (setextAx = $false)),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f455])).
% 16.01/2.78 thf(f756,definition,(
% 16.01/2.78 spl0_3 <=> ($true = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 16.01/2.78 thf(f758,plain,(
% 16.01/2.78 ~spl0_3),
% 16.01/2.78 inference(avatar_split_clause,[],[f488,f756])).
% 16.01/2.78 thf(f892,definition,(
% 16.01/2.78 spl0_34 <=> (setminusER = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition])).
% 16.01/2.78 thf(f899,definition,(
% 16.01/2.78 spl0_36 <=> (setminusER = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition])).
% 16.01/2.78 thf(f902,definition,(
% 16.01/2.78 spl0_37 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y1 @ Y2)) => (~ (in @ Y0 @ Y2)))))))))) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition])).
% 16.01/2.78 thf(f903,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y1 @ Y2)) => (~ (in @ Y0 @ Y2)))))))))) = $true) | ~spl0_37),
% 16.01/2.78 inference(avatar_component_clause,[],[f902])).
% 16.01/2.78 thf(f904,plain,(
% 16.01/2.78 spl0_36 | spl0_37),
% 16.01/2.78 inference(avatar_split_clause,[],[f553,f902,f899])).
% 16.01/2.78 thf(f941,definition,(
% 16.01/2.78 spl0_48 <=> (((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition])).
% 16.01/2.78 thf(f942,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))) = $true) | ~spl0_48),
% 16.01/2.78 inference(avatar_component_clause,[],[f941])).
% 16.01/2.78 thf(f951,definition,(
% 16.01/2.78 spl0_51 <=> (binintersectER = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition])).
% 16.01/2.78 thf(f955,definition,(
% 16.01/2.78 spl0_52 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binintersect @ Y0 @ Y2)) => (in @ Y1 @ Y2))))))))) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition])).
% 16.01/2.78 thf(f956,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binintersect @ Y0 @ Y2)) => (in @ Y1 @ Y2))))))))) = $true) | ~spl0_52),
% 16.01/2.78 inference(avatar_component_clause,[],[f955])).
% 16.01/2.78 thf(f958,definition,(
% 16.01/2.78 spl0_53 <=> (binintersectER = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition])).
% 16.01/2.78 thf(f960,plain,(
% 16.01/2.78 spl0_52 | spl0_53),
% 16.01/2.78 inference(avatar_split_clause,[],[f561,f958,f955])).
% 16.01/2.78 thf(f1082,definition,(
% 16.01/2.78 spl0_88 <=> (binintersectSubset2 = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition])).
% 16.01/2.78 thf(f1085,definition,(
% 16.01/2.78 spl0_89 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((binintersect @ Y1 @ Y0) = Y1))))))) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition])).
% 16.01/2.78 thf(f1086,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((binintersect @ Y1 @ Y0) = Y1))))))) = $true) | ~spl0_89),
% 16.01/2.78 inference(avatar_component_clause,[],[f1085])).
% 16.01/2.78 thf(f1087,plain,(
% 16.01/2.78 spl0_88 | spl0_89),
% 16.01/2.78 inference(avatar_split_clause,[],[f581,f1085,f1082])).
% 16.01/2.78 thf(f1089,definition,(
% 16.01/2.78 spl0_90 <=> (binintersectSubset2 = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition])).
% 16.01/2.78 thf(f1976,definition,(
% 16.01/2.78 spl0_342 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))))) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition])).
% 16.01/2.78 thf(f1977,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))))) = $true) | ~spl0_342),
% 16.01/2.78 inference(avatar_component_clause,[],[f1976])).
% 16.01/2.78 thf(f1979,definition,(
% 16.01/2.78 spl0_343 <=> (setminusEL = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition])).
% 16.01/2.78 thf(f1981,plain,(
% 16.01/2.78 spl0_342 | spl0_343),
% 16.01/2.78 inference(avatar_split_clause,[],[f721,f1979,f1976])).
% 16.01/2.78 thf(f1986,definition,(
% 16.01/2.78 spl0_345 <=> (setminusEL = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition])).
% 16.01/2.78 thf(f2032,definition,(
% 16.01/2.78 spl0_358 <=> (emptysetimpfalse = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition])).
% 16.01/2.78 thf(f2036,definition,(
% 16.01/2.78 spl0_359 <=> (emptysetimpfalse = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition])).
% 16.01/2.78 thf(f2038,plain,(
% 16.01/2.78 spl0_359 | spl0_48),
% 16.01/2.78 inference(avatar_split_clause,[],[f729,f941,f2036])).
% 16.01/2.78 thf(f2067,plain,(
% 16.01/2.78 (((emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f734])).
% 16.01/2.78 thf(f2068,plain,(
% 16.01/2.78 (setextAx = $true)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f734])).
% 16.01/2.78 thf(f2128,definition,(
% 16.01/2.78 spl0_384 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition])).
% 16.01/2.78 thf(f2129,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) = $true) | ~spl0_384),
% 16.01/2.78 inference(avatar_component_clause,[],[f2128])).
% 16.01/2.78 thf(f2131,definition,(
% 16.01/2.78 spl0_385 <=> (setextAx = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition])).
% 16.01/2.78 thf(f2133,plain,(
% 16.01/2.78 spl0_384 | spl0_385),
% 16.01/2.78 inference(avatar_split_clause,[],[f746,f2131,f2128])).
% 16.01/2.78 thf(f2135,definition,(
% 16.01/2.78 spl0_386 <=> (setextAx = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition])).
% 16.01/2.78 thf(f2379,plain,(
% 16.01/2.78 (((setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2067])).
% 16.01/2.78 thf(f2381,plain,(
% 16.01/2.78 spl0_386),
% 16.01/2.78 inference(avatar_split_clause,[],[f2068,f2135])).
% 16.01/2.78 thf(f2383,plain,(
% 16.01/2.78 (((powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2379])).
% 16.01/2.78 thf(f2386,plain,(
% 16.01/2.78 (((setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2383])).
% 16.01/2.78 thf(f2388,plain,(
% 16.01/2.78 (((omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2386])).
% 16.01/2.78 thf(f2391,plain,(
% 16.01/2.78 (((omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2388])).
% 16.01/2.78 thf(f2394,plain,(
% 16.01/2.78 (((omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2391])).
% 16.01/2.78 thf(f2397,plain,(
% 16.01/2.78 (((replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2394])).
% 16.01/2.78 thf(f2401,plain,(
% 16.01/2.78 (((foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2397])).
% 16.01/2.78 thf(f2404,plain,(
% 16.01/2.78 (((wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2401])).
% 16.01/2.78 thf(f2406,plain,(
% 16.01/2.78 (((descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2404])).
% 16.01/2.78 thf(f2409,plain,(
% 16.01/2.78 ($false = ((dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2406])).
% 16.01/2.78 thf(f2412,plain,(
% 16.01/2.78 (((dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2409])).
% 16.01/2.78 thf(f2415,plain,(
% 16.01/2.78 (((dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2412])).
% 16.01/2.78 thf(f2418,plain,(
% 16.01/2.78 (((exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2415])).
% 16.01/2.78 thf(f2422,plain,(
% 16.01/2.78 (((prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2418])).
% 16.01/2.78 thf(f2425,plain,(
% 16.01/2.78 (((emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2422])).
% 16.01/2.78 thf(f2427,plain,(
% 16.01/2.78 (((emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2425])).
% 16.01/2.78 thf(f2431,plain,(
% 16.01/2.78 (((notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2427])).
% 16.01/2.78 thf(f2432,plain,(
% 16.01/2.78 (emptysetimpfalse = $true)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2427])).
% 16.01/2.78 thf(f2433,plain,(
% 16.01/2.78 (((exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2431])).
% 16.01/2.78 thf(f2435,plain,(
% 16.01/2.78 spl0_358),
% 16.01/2.78 inference(avatar_split_clause,[],[f2432,f2032])).
% 16.01/2.78 thf(f2437,plain,(
% 16.01/2.78 (((setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2433])).
% 16.01/2.78 thf(f2440,plain,(
% 16.01/2.78 (((emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2437])).
% 16.01/2.78 thf(f2443,plain,(
% 16.01/2.78 (((noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2440])).
% 16.01/2.78 thf(f2446,plain,(
% 16.01/2.78 (((setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2443])).
% 16.01/2.78 thf(f2448,plain,(
% 16.01/2.78 (((nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2446])).
% 16.01/2.78 thf(f2452,plain,(
% 16.01/2.78 (((nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2448])).
% 16.01/2.78 thf(f2455,plain,(
% 16.01/2.78 (((nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2452])).
% 16.01/2.78 thf(f2458,plain,(
% 16.01/2.78 (((setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2455])).
% 16.01/2.78 thf(f2460,plain,(
% 16.01/2.78 (((emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2458])).
% 16.01/2.78 thf(f2463,plain,(
% 16.01/2.78 (((setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2460])).
% 16.01/2.78 thf(f2467,plain,(
% 16.01/2.78 (((setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2463])).
% 16.01/2.78 thf(f2469,plain,(
% 16.01/2.78 (((setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2467])).
% 16.01/2.78 thf(f2472,plain,(
% 16.01/2.78 (((setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2469])).
% 16.01/2.78 thf(f2475,plain,(
% 16.01/2.78 (((powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2472])).
% 16.01/2.78 thf(f2478,plain,(
% 16.01/2.78 (((emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2475])).
% 16.01/2.78 thf(f2482,plain,(
% 16.01/2.78 (((emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2478])).
% 16.01/2.78 thf(f2484,plain,(
% 16.01/2.78 (((powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2482])).
% 16.01/2.78 thf(f2488,plain,(
% 16.01/2.78 (((setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2484])).
% 16.01/2.78 thf(f2491,plain,(
% 16.01/2.78 (((setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2488])).
% 16.01/2.78 thf(f2494,plain,(
% 16.01/2.78 (((subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2491])).
% 16.01/2.78 thf(f2497,plain,(
% 16.01/2.78 (((exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2494])).
% 16.01/2.78 thf(f2499,plain,(
% 16.01/2.78 (((nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2497])).
% 16.01/2.78 thf(f2503,plain,(
% 16.01/2.78 (((uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2499])).
% 16.01/2.78 thf(f2505,plain,(
% 16.01/2.78 (((notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2503])).
% 16.01/2.78 thf(f2509,plain,(
% 16.01/2.78 (((eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2505])).
% 16.01/2.78 thf(f2511,plain,(
% 16.01/2.78 (((singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2509])).
% 16.01/2.78 thf(f2514,plain,(
% 16.01/2.78 (((upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2511])).
% 16.01/2.78 thf(f2517,plain,(
% 16.01/2.78 (((upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2514])).
% 16.01/2.78 thf(f2520,plain,(
% 16.01/2.78 (((upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2517])).
% 16.01/2.78 thf(f2524,plain,(
% 16.01/2.78 (((emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2520])).
% 16.01/2.78 thf(f2526,plain,(
% 16.01/2.78 (((vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2524])).
% 16.01/2.78 thf(f2530,plain,(
% 16.01/2.78 (((quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2526])).
% 16.01/2.78 thf(f2532,plain,(
% 16.01/2.78 (((quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2530])).
% 16.01/2.78 thf(f2536,plain,(
% 16.01/2.78 (((quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2532])).
% 16.01/2.78 thf(f2538,plain,(
% 16.01/2.78 (((quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2536])).
% 16.01/2.78 thf(f2541,plain,(
% 16.01/2.78 (((prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2538])).
% 16.01/2.78 thf(f2545,plain,(
% 16.01/2.78 (((prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2541])).
% 16.01/2.78 thf(f2547,plain,(
% 16.01/2.78 (((notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2545])).
% 16.01/2.78 thf(f2550,plain,(
% 16.01/2.78 (((notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2547])).
% 16.01/2.78 thf(f2554,plain,(
% 16.01/2.78 (((exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2550])).
% 16.01/2.78 thf(f2556,plain,(
% 16.01/2.78 (((exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2554])).
% 16.01/2.78 thf(f2560,plain,(
% 16.01/2.78 (((exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2556])).
% 16.01/2.78 thf(f2563,plain,(
% 16.01/2.78 (((inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2560])).
% 16.01/2.78 thf(f2566,plain,(
% 16.01/2.78 (((in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2563])).
% 16.01/2.78 thf(f2569,plain,(
% 16.01/2.78 (((exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2566])).
% 16.01/2.78 thf(f2572,plain,(
% 16.01/2.78 (((exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2569])).
% 16.01/2.78 thf(f2575,plain,(
% 16.01/2.78 (((emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2572])).
% 16.01/2.78 thf(f2578,plain,(
% 16.01/2.78 (((setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2575])).
% 16.01/2.78 thf(f2580,plain,(
% 16.01/2.78 (((powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2578])).
% 16.01/2.78 thf(f2583,plain,(
% 16.01/2.78 (((setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2580])).
% 16.01/2.78 thf(f2586,plain,(
% 16.01/2.78 (((omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2583])).
% 16.01/2.78 thf(f2589,plain,(
% 16.01/2.78 (((exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2586])).
% 16.01/2.78 thf(f2591,plain,(
% 16.01/2.78 (((descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2589])).
% 16.01/2.78 thf(f2593,plain,(
% 16.01/2.78 ($false = ((dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2591])).
% 16.01/2.78 thf(f2596,plain,(
% 16.01/2.78 ($false = ((subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2593])).
% 16.01/2.78 thf(f2600,plain,(
% 16.01/2.78 (((eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2596])).
% 16.01/2.78 thf(f2602,plain,(
% 16.01/2.78 (((eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2600])).
% 16.01/2.78 thf(f2605,plain,(
% 16.01/2.78 (((subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2602])).
% 16.01/2.78 thf(f2608,plain,(
% 16.01/2.78 (((emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2605])).
% 16.01/2.78 thf(f2612,plain,(
% 16.01/2.78 (((subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2608])).
% 16.01/2.78 thf(f2615,plain,(
% 16.01/2.78 (((subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2612])).
% 16.01/2.78 thf(f2617,plain,(
% 16.01/2.78 (((notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2615])).
% 16.01/2.78 thf(f2620,plain,(
% 16.01/2.78 (((notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2617])).
% 16.01/2.78 thf(f2624,plain,(
% 16.01/2.78 (((notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2620])).
% 16.01/2.78 thf(f2626,plain,(
% 16.01/2.78 (((subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2624])).
% 16.01/2.78 thf(f2629,plain,(
% 16.01/2.78 (((subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2626])).
% 16.01/2.78 thf(f2632,plain,(
% 16.01/2.78 (((setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2629])).
% 16.01/2.78 thf(f2636,plain,(
% 16.01/2.78 (((setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2632])).
% 16.01/2.78 thf(f2639,plain,(
% 16.01/2.78 (((subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2636])).
% 16.01/2.78 thf(f2641,plain,(
% 16.01/2.78 (((setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2639])).
% 16.01/2.78 thf(f2645,plain,(
% 16.01/2.78 (((subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2641])).
% 16.01/2.78 thf(f2647,plain,(
% 16.01/2.78 (((powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2645])).
% 16.01/2.78 thf(f2651,plain,(
% 16.01/2.78 (((powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2647])).
% 16.01/2.78 thf(f2654,plain,(
% 16.01/2.78 (((inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2651])).
% 16.01/2.78 thf(f2656,plain,(
% 16.01/2.78 (((powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2654])).
% 16.01/2.78 thf(f2659,plain,(
% 16.01/2.78 (((sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2656])).
% 16.01/2.78 thf(f2662,plain,(
% 16.01/2.78 (((sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2659])).
% 16.01/2.78 thf(f2665,plain,(
% 16.01/2.78 (((binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2662])).
% 16.01/2.78 thf(f2668,plain,(
% 16.01/2.78 (((upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2665])).
% 16.01/2.78 thf(f2671,plain,(
% 16.01/2.78 (((binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2668])).
% 16.01/2.78 thf(f2674,plain,(
% 16.01/2.78 (((binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2671])).
% 16.01/2.78 thf(f2678,plain,(
% 16.01/2.78 (((binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2674])).
% 16.01/2.78 thf(f2680,plain,(
% 16.01/2.78 (((binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2678])).
% 16.01/2.78 thf(f2683,plain,(
% 16.01/2.78 (((binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2680])).
% 16.01/2.78 thf(f2687,plain,(
% 16.01/2.78 (((binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2683])).
% 16.01/2.78 thf(f2690,plain,(
% 16.01/2.78 (((binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2687])).
% 16.01/2.78 thf(f2692,plain,(
% 16.01/2.78 (((binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2690])).
% 16.01/2.78 thf(f2695,plain,(
% 16.01/2.78 ($false = ((binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))))))),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2692])).
% 16.01/2.78 thf(f2699,plain,(
% 16.01/2.78 (((binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2695])).
% 16.01/2.78 thf(f2701,plain,(
% 16.01/2.78 (((binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2699])).
% 16.01/2.78 thf(f2702,plain,(
% 16.01/2.78 (binintersectSubset2 = $true)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2699])).
% 16.01/2.78 thf(f2704,plain,(
% 16.01/2.78 (((binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2701])).
% 16.01/2.78 thf(f2706,plain,(
% 16.01/2.78 spl0_90),
% 16.01/2.78 inference(avatar_split_clause,[],[f2702,f1089])).
% 16.01/2.78 thf(f2708,plain,(
% 16.01/2.78 (((disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2704])).
% 16.01/2.78 thf(f2709,plain,(
% 16.01/2.78 (binintersectER = $true)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2704])).
% 16.01/2.78 thf(f2710,plain,(
% 16.01/2.78 (((binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2708])).
% 16.01/2.78 thf(f2712,plain,(
% 16.01/2.78 spl0_51),
% 16.01/2.78 inference(avatar_split_clause,[],[f2709,f951])).
% 16.01/2.78 thf(f2713,plain,(
% 16.01/2.78 (((binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2710])).
% 16.01/2.78 thf(f2717,plain,(
% 16.01/2.78 (((binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2713])).
% 16.01/2.78 thf(f2720,plain,(
% 16.01/2.78 (((bs114d => (setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2717])).
% 16.01/2.78 thf(f2722,plain,(
% 16.01/2.78 (((setminusI => (setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2720])).
% 16.01/2.78 thf(f2726,plain,(
% 16.01/2.78 (((setminusEL => (setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2722])).
% 16.01/2.78 thf(f2728,plain,(
% 16.01/2.78 (((setminusER => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1))))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2726])).
% 16.01/2.78 thf(f2729,plain,(
% 16.01/2.78 (setminusEL = $true)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2726])).
% 16.01/2.78 thf(f2731,plain,(
% 16.01/2.78 spl0_345),
% 16.01/2.78 inference(avatar_split_clause,[],[f2729,f1986])).
% 16.01/2.78 thf(f2732,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))) = $false)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2728])).
% 16.01/2.78 thf(f2733,plain,(
% 16.01/2.78 (setminusER = $true)),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f2728])).
% 16.01/2.78 thf(f2734,plain,(
% 16.01/2.78 spl0_34),
% 16.01/2.78 inference(avatar_split_clause,[],[f2733,f892])).
% 16.01/2.78 thf(f2736,definition,(
% 16.01/2.78 spl0_456 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))) = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_456])],[avatar_definition])).
% 16.01/2.78 thf(f2737,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))))) = $false) | ~spl0_456),
% 16.01/2.78 inference(avatar_component_clause,[],[f2736])).
% 16.01/2.78 thf(f2738,plain,(
% 16.01/2.78 spl0_456),
% 16.01/2.78 inference(avatar_split_clause,[],[f2732,f2736])).
% 16.01/2.78 thf(f2749,definition,(
% 16.01/2.78 (setminusER != $false) | (setminusER != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 thf(f2775,definition,(
% 16.01/2.78 (binintersectSubset2 != $false) | (binintersectSubset2 != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 thf(f3867,plain,(
% 16.01/2.78 ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (emptyset = (setminus @ Y0 @ Y1)))))) @ sK1)) = $false) | ~spl0_456),
% 16.01/2.78 inference(sigma_proxy_clausification,[],[f2737])).
% 16.01/2.78 thf(f3868,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: ((subset @ sK1 @ Y0) => (emptyset = (setminus @ sK1 @ Y0)))))) = $false) | ~spl0_456),
% 16.01/2.78 inference(beta-eta_normalization,[],[f3867])).
% 16.01/2.78 thf(f3870,definition,(
% 16.01/2.78 spl0_457 <=> (((!! @ $i @ (^[Y0 : $i]: ((subset @ sK1 @ Y0) => (emptyset = (setminus @ sK1 @ Y0)))))) = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_457])],[avatar_definition])).
% 16.01/2.78 thf(f3871,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: ((subset @ sK1 @ Y0) => (emptyset = (setminus @ sK1 @ Y0)))))) = $false) | ~spl0_457),
% 16.01/2.78 inference(avatar_component_clause,[],[f3870])).
% 16.01/2.78 thf(f3872,plain,(
% 16.01/2.78 spl0_457 | ~spl0_456),
% 16.01/2.78 inference(avatar_split_clause,[],[f3868,f2736,f3870])).
% 16.01/2.78 thf(f3873,plain,(
% 16.01/2.78 ((((^[Y0 : $i]: ((subset @ sK1 @ Y0) => (emptyset = (setminus @ sK1 @ Y0)))) @ sK2)) = $false) | ~spl0_457),
% 16.01/2.78 inference(sigma_proxy_clausification,[],[f3871])).
% 16.01/2.78 thf(f3874,plain,(
% 16.01/2.78 ((((subset @ sK1 @ sK2) => (emptyset = (setminus @ sK1 @ sK2)))) = $false) | ~spl0_457),
% 16.01/2.78 inference(beta-eta_normalization,[],[f3873])).
% 16.01/2.78 thf(f3875,plain,(
% 16.01/2.78 (((emptyset = (setminus @ sK1 @ sK2))) = $false) | ~spl0_457),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f3874])).
% 16.01/2.78 thf(f3876,plain,(
% 16.01/2.78 (((subset @ sK1 @ sK2)) = $true) | ~spl0_457),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f3874])).
% 16.01/2.78 thf(f3877,plain,(
% 16.01/2.78 (emptyset != ((setminus @ sK1 @ sK2))) | ~spl0_457),
% 16.01/2.78 inference(equality_proxy_clausification,[],[f3875])).
% 16.01/2.78 thf(f3879,definition,(
% 16.01/2.78 spl0_458 <=> (((subset @ sK1 @ sK2)) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_458])],[avatar_definition])).
% 16.01/2.78 thf(f3880,plain,(
% 16.01/2.78 (((subset @ sK1 @ sK2)) = $true) | ~spl0_458),
% 16.01/2.78 inference(avatar_component_clause,[],[f3879])).
% 16.01/2.78 thf(f3881,plain,(
% 16.01/2.78 spl0_458 | ~spl0_457),
% 16.01/2.78 inference(avatar_split_clause,[],[f3876,f3870,f3879])).
% 16.01/2.78 thf(f3883,definition,(
% 16.01/2.78 spl0_459 <=> (emptyset = ((setminus @ sK1 @ sK2)))),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_459])],[avatar_definition])).
% 16.01/2.78 thf(f3884,plain,(
% 16.01/2.78 (emptyset != ((setminus @ sK1 @ sK2))) | spl0_459),
% 16.01/2.78 inference(avatar_component_clause,[],[f3883])).
% 16.01/2.78 thf(f3885,plain,(
% 16.01/2.78 ~spl0_459 | ~spl0_457),
% 16.01/2.78 inference(avatar_split_clause,[],[f3877,f3870,f3883])).
% 16.01/2.78 thf(f3906,plain,(
% 16.01/2.78 ( ! [X1 : $i] : (((((^[Y0 : $i]: (~ (in @ Y0 @ emptyset))) @ X1)) = $true)) ) | ~spl0_48),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f942])).
% 16.01/2.78 thf(f3907,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((~ (in @ X1 @ emptyset))) = $true)) ) | ~spl0_48),
% 16.01/2.78 inference(beta-eta_normalization,[],[f3906])).
% 16.01/2.78 thf(f3908,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((in @ X1 @ emptyset)) = $false)) ) | ~spl0_48),
% 16.01/2.78 inference(not_proxy_clausification,[],[f3907])).
% 16.01/2.78 thf(f4660,definition,(
% 16.01/2.78 (emptysetimpfalse != $false) | (emptysetimpfalse != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 thf(f4945,plain,(
% 16.01/2.78 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((binintersect @ Y1 @ Y0) = Y1))))) @ X1)) = $true)) ) | ~spl0_89),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f1086])).
% 16.01/2.78 thf(f4946,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((subset @ Y0 @ X1) => ((binintersect @ Y0 @ X1) = Y0))))) = $true)) ) | ~spl0_89),
% 16.01/2.78 inference(beta-eta_normalization,[],[f4945])).
% 16.01/2.78 thf(f4953,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((subset @ Y0 @ X1) => ((binintersect @ Y0 @ X1) = Y0))) @ X2)) = $true)) ) | ~spl0_89),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f4946])).
% 16.01/2.78 thf(f4954,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((subset @ X2 @ X1) => ((binintersect @ X2 @ X1) = X2))) = $true)) ) | ~spl0_89),
% 16.01/2.78 inference(beta-eta_normalization,[],[f4953])).
% 16.01/2.78 thf(f4955,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((binintersect @ X2 @ X1) = X2)) = $true) | (((subset @ X2 @ X1)) = $false)) ) | ~spl0_89),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f4954])).
% 16.01/2.78 thf(f4956,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : ((((subset @ X2 @ X1)) = $false) | (((binintersect @ X2 @ X1)) = X2)) ) | ~spl0_89),
% 16.01/2.78 inference(equality_proxy_clausification,[],[f4955])).
% 16.01/2.78 thf(f4971,plain,(
% 16.01/2.78 ($true = $false) | (((binintersect @ sK1 @ sK2)) = sK1) | (~spl0_89 | ~spl0_458)),
% 16.01/2.78 inference(constrained_superposition,[],[f4956,f3880])).
% 16.01/2.78 thf(f5002,plain,(
% 16.01/2.78 (((binintersect @ sK1 @ sK2)) = sK1) | (~spl0_89 | ~spl0_458)),
% 16.01/2.78 inference(trivial_inequality_removal,[],[f4971])).
% 16.01/2.78 thf(f5016,definition,(
% 16.01/2.78 spl0_468 <=> (((binintersect @ sK1 @ sK2)) = sK1)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_468])],[avatar_definition])).
% 16.01/2.78 thf(f5017,plain,(
% 16.01/2.78 (((binintersect @ sK1 @ sK2)) = sK1) | ~spl0_468),
% 16.01/2.78 inference(avatar_component_clause,[],[f5016])).
% 16.01/2.78 thf(f5018,plain,(
% 16.01/2.78 spl0_468 | ~spl0_89 | ~spl0_458),
% 16.01/2.78 inference(avatar_split_clause,[],[f5002,f3879,f1085,f5016])).
% 16.01/2.78 thf(f5235,plain,(
% 16.01/2.78 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binintersect @ Y0 @ Y2)) => (in @ Y1 @ Y2))))))) @ X1)) = $true)) ) | ~spl0_52),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f956])).
% 16.01/2.78 thf(f5236,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (binintersect @ X1 @ Y1)) => (in @ Y0 @ Y1))))))) = $true)) ) | ~spl0_52),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5235])).
% 16.01/2.78 thf(f5237,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (binintersect @ X1 @ Y1)) => (in @ Y0 @ Y1))))) @ X2)))) ) | ~spl0_52),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f5236])).
% 16.01/2.78 thf(f5238,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ (binintersect @ X1 @ Y0)) => (in @ X2 @ Y0))))) = $true)) ) | ~spl0_52),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5237])).
% 16.01/2.78 thf(f5239,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((^[Y0 : $i]: ((in @ X2 @ (binintersect @ X1 @ Y0)) => (in @ X2 @ Y0))) @ X3)) = $true)) ) | ~spl0_52),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f5238])).
% 16.01/2.78 thf(f5240,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((in @ X2 @ (binintersect @ X1 @ X3)) => (in @ X2 @ X3))) = $true)) ) | ~spl0_52),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5239])).
% 16.01/2.78 thf(f5241,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X2 @ (binintersect @ X1 @ X3))) = $false) | (((in @ X2 @ X3)) = $true)) ) | ~spl0_52),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f5240])).
% 16.01/2.78 thf(f5263,plain,(
% 16.01/2.78 ( ! [X0 : $i] : ((((in @ X0 @ sK2)) = $true) | (((in @ X0 @ sK1)) = $false)) ) | (~spl0_52 | ~spl0_468)),
% 16.01/2.78 inference(constrained_superposition,[],[f5241,f5017])).
% 16.01/2.78 thf(f5435,plain,(
% 16.01/2.78 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y2 @ Y1)) => (in @ Y0 @ Y2))))))) @ X1)) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f1977])).
% 16.01/2.78 thf(f5436,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (setminus @ Y1 @ Y0)) => (in @ X1 @ Y1))))))) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5435])).
% 16.01/2.78 thf(f5437,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (setminus @ Y1 @ Y0)) => (in @ X1 @ Y1))))) @ X2)) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f5436])).
% 16.01/2.78 thf(f5438,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (setminus @ Y0 @ X2)) => (in @ X1 @ Y0))))) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5437])).
% 16.01/2.78 thf(f5439,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((^[Y0 : $i]: ((in @ X1 @ (setminus @ Y0 @ X2)) => (in @ X1 @ Y0))) @ X3)) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f5438])).
% 16.01/2.78 thf(f5440,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((in @ X1 @ (setminus @ X3 @ X2)) => (in @ X1 @ X3))) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5439])).
% 16.01/2.78 thf(f5441,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (setminus @ X3 @ X2))) = $false) | (((in @ X1 @ X3)) = $true)) ) | ~spl0_342),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f5440])).
% 16.01/2.78 thf(f5935,plain,(
% 16.01/2.78 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setminus @ Y1 @ Y2)) => (~ (in @ Y0 @ Y2)))))))) @ X1)) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f903])).
% 16.01/2.78 thf(f5936,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (setminus @ Y0 @ Y1)) => (~ (in @ X1 @ Y1)))))))) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5935])).
% 16.01/2.78 thf(f5937,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (setminus @ Y0 @ Y1)) => (~ (in @ X1 @ Y1)))))) @ X2)) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f5936])).
% 16.01/2.78 thf(f5938,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (setminus @ X2 @ Y0)) => (~ (in @ X1 @ Y0)))))) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5937])).
% 16.01/2.78 thf(f5939,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((^[Y0 : $i]: ((in @ X1 @ (setminus @ X2 @ Y0)) => (~ (in @ X1 @ Y0)))) @ X3)) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f5938])).
% 16.01/2.78 thf(f5940,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((in @ X1 @ (setminus @ X2 @ X3)) => (~ (in @ X1 @ X3)))) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(beta-eta_normalization,[],[f5939])).
% 16.01/2.78 thf(f5941,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (setminus @ X2 @ X3))) = $false) | (((~ (in @ X1 @ X3))) = $true)) ) | ~spl0_37),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f5940])).
% 16.01/2.78 thf(f5942,plain,(
% 16.01/2.78 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (setminus @ X2 @ X3))) = $false) | (((in @ X1 @ X3)) = $false)) ) | ~spl0_37),
% 16.01/2.78 inference(not_proxy_clausification,[],[f5941])).
% 16.01/2.78 thf(f7183,plain,(
% 16.01/2.78 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) = (in @ Y2 @ Y0)))) => (Y1 = Y0))))) @ X1)) = $true)) ) | ~spl0_384),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f2129])).
% 16.01/2.78 thf(f7184,plain,(
% 16.01/2.78 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) = (in @ Y1 @ X1)))) => (Y0 = X1))))) = $true)) ) | ~spl0_384),
% 16.01/2.78 inference(beta-eta_normalization,[],[f7183])).
% 16.01/2.78 thf(f7245,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) = (in @ Y1 @ X1)))) => (Y0 = X1))) @ X2)) = $true)) ) | ~spl0_384),
% 16.01/2.78 inference(pi_proxy_clausification,[],[f7184])).
% 16.01/2.78 thf(f7246,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) = (in @ Y0 @ X1)))) => (X2 = X1))) = $true)) ) | ~spl0_384),
% 16.01/2.78 inference(beta-eta_normalization,[],[f7245])).
% 16.01/2.78 thf(f7247,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) = (in @ Y0 @ X1))))) = $false) | (((X2 = X1)) = $true)) ) | ~spl0_384),
% 16.01/2.78 inference(imp_proxy_clausification,[],[f7246])).
% 16.01/2.78 thf(f7248,plain,(
% 16.01/2.78 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) = (in @ Y0 @ X1))))) = $false) | (X1 = X2)) ) | ~spl0_384),
% 16.01/2.78 inference(equality_proxy_clausification,[],[f7247])).
% 16.01/2.78 thf(f7316,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setminus @ sK1 @ sK2)) = (in @ Y0 @ emptyset))))) = $false) | (~spl0_384 | spl0_459)),
% 16.01/2.78 inference(extensionality_resolution,[],[f7248,f3884])).
% 16.01/2.78 thf(f7343,definition,(
% 16.01/2.78 spl0_514 <=> (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setminus @ sK1 @ sK2)) = (in @ Y0 @ emptyset))))) = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_514])],[avatar_definition])).
% 16.01/2.78 thf(f7344,plain,(
% 16.01/2.78 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setminus @ sK1 @ sK2)) = (in @ Y0 @ emptyset))))) = $false) | ~spl0_514),
% 16.01/2.78 inference(avatar_component_clause,[],[f7343])).
% 16.01/2.78 thf(f7345,plain,(
% 16.01/2.78 spl0_514 | ~spl0_384 | spl0_459),
% 16.01/2.78 inference(avatar_split_clause,[],[f7316,f3883,f2128,f7343])).
% 16.01/2.78 thf(f7378,definition,(
% 16.01/2.78 (setextAx != $false) | (setextAx != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 thf(f7802,plain,(
% 16.01/2.78 ($false = (((^[Y0 : $i]: ((in @ Y0 @ (setminus @ sK1 @ sK2)) = (in @ Y0 @ emptyset))) @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2))))) | ~spl0_514),
% 16.01/2.78 inference(sigma_proxy_clausification,[],[f7344])).
% 16.01/2.78 thf(f7805,plain,(
% 16.01/2.78 ($false = (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ (setminus @ sK1 @ sK2)) = (in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ emptyset)))) | ~spl0_514),
% 16.01/2.78 inference(beta-eta_normalization,[],[f7802])).
% 16.01/2.78 thf(f7806,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ emptyset)) != ((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ (setminus @ sK1 @ sK2)))) | ~spl0_514),
% 16.01/2.78 inference(iff_proxy_clausification,[],[f7805])).
% 16.01/2.78 thf(f7807,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ (setminus @ sK1 @ sK2))) != $false) | (~spl0_48 | ~spl0_514)),
% 16.01/2.78 inference(forward_demodulation,[],[f7806,f3908])).
% 16.01/2.78 thf(f7809,definition,(
% 16.01/2.78 spl0_523 <=> (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ (setminus @ sK1 @ sK2))) = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_523])],[avatar_definition])).
% 16.01/2.78 thf(f7810,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ (setminus @ sK1 @ sK2))) != $false) | spl0_523),
% 16.01/2.78 inference(avatar_component_clause,[],[f7809])).
% 16.01/2.78 thf(f7811,plain,(
% 16.01/2.78 ~spl0_523 | ~spl0_48 | ~spl0_514),
% 16.01/2.78 inference(avatar_split_clause,[],[f7807,f7343,f941,f7809])).
% 16.01/2.78 thf(f7837,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK2)) = $false) | ($false != $false) | (~spl0_37 | spl0_523)),
% 16.01/2.78 inference(constrained_superposition,[],[f7810,f5942])).
% 16.01/2.78 thf(f7838,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) = $true) | ($false != $false) | (~spl0_342 | spl0_523)),
% 16.01/2.78 inference(constrained_superposition,[],[f7810,f5441])).
% 16.01/2.78 thf(f7839,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) = $true) | (~spl0_342 | spl0_523)),
% 16.01/2.78 inference(trivial_inequality_removal,[],[f7838])).
% 16.01/2.78 thf(f7840,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK2)) = $false) | (~spl0_37 | spl0_523)),
% 16.01/2.78 inference(trivial_inequality_removal,[],[f7837])).
% 16.01/2.78 thf(f7842,definition,(
% 16.01/2.78 spl0_525 <=> (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) = $true)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_525])],[avatar_definition])).
% 16.01/2.78 thf(f7844,plain,(
% 16.01/2.78 spl0_525 | ~spl0_342 | spl0_523),
% 16.01/2.78 inference(avatar_split_clause,[],[f7839,f7809,f1976,f7842])).
% 16.01/2.78 thf(f7846,definition,(
% 16.01/2.78 spl0_526 <=> (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK2)) = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_526])],[avatar_definition])).
% 16.01/2.78 thf(f7847,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK2)) = $false) | ~spl0_526),
% 16.01/2.78 inference(avatar_component_clause,[],[f7846])).
% 16.01/2.78 thf(f7848,plain,(
% 16.01/2.78 spl0_526 | ~spl0_37 | spl0_523),
% 16.01/2.78 inference(avatar_split_clause,[],[f7840,f7809,f902,f7846])).
% 16.01/2.78 thf(f7851,plain,(
% 16.01/2.78 ($true = $false) | (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) = $false) | (~spl0_52 | ~spl0_468 | ~spl0_526)),
% 16.01/2.78 inference(constrained_superposition,[],[f5263,f7847])).
% 16.01/2.78 thf(f7852,plain,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) = $false) | (~spl0_52 | ~spl0_468 | ~spl0_526)),
% 16.01/2.78 inference(trivial_inequality_removal,[],[f7851])).
% 16.01/2.78 thf(f7856,definition,(
% 16.01/2.78 spl0_527 <=> (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) = $false)),
% 16.01/2.78 introduced(definition,[new_symbols(definition,[spl0_527])],[avatar_definition])).
% 16.01/2.78 thf(f7858,plain,(
% 16.01/2.78 spl0_527 | ~spl0_52 | ~spl0_468 | ~spl0_526),
% 16.01/2.78 inference(avatar_split_clause,[],[f7852,f7846,f5016,f955,f7856])).
% 16.01/2.78 thf(f7859,definition,(
% 16.01/2.78 (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) != $false) | (((in @ (sK6 @ emptyset @ (setminus @ sK1 @ sK2)) @ sK1)) != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 thf(f7924,definition,(
% 16.01/2.78 (binintersectER != $false) | (binintersectER != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 thf(f7989,definition,(
% 16.01/2.78 (setminusEL != $false) | (setminusEL != $true) | ($true = $false)),
% 16.01/2.78 introduced(theory,[theory_tautology_sat_conflict])).
% 16.01/2.78 cnf(s3, plain, ~spl0_3, inference(sat_conversion,[],[f758])).
% 16.01/2.78 cnf(s21, plain, spl0_36 | spl0_37, inference(sat_conversion,[],[f904])).
% 16.01/2.78 cnf(s29, plain, spl0_52 | spl0_53, inference(sat_conversion,[],[f960])).
% 16.01/2.78 cnf(s48, plain, spl0_88 | spl0_89, inference(sat_conversion,[],[f1087])).
% 16.01/2.78 cnf(s180, plain, spl0_342 | spl0_343, inference(sat_conversion,[],[f1981])).
% 16.01/2.78 cnf(s189, plain, spl0_48 | spl0_359, inference(sat_conversion,[],[f2038])).
% 16.01/2.78 cnf(s204, plain, spl0_384 | spl0_385, inference(sat_conversion,[],[f2133])).
% 16.01/2.78 cnf(s240, plain, spl0_386, inference(sat_conversion,[],[f2381])).
% 16.01/2.78 cnf(s258, plain, spl0_358, inference(sat_conversion,[],[f2435])).
% 16.01/2.78 cnf(s349, plain, spl0_90, inference(sat_conversion,[],[f2706])).
% 16.01/2.78 cnf(s351, plain, spl0_51, inference(sat_conversion,[],[f2712])).
% 16.01/2.78 cnf(s358, plain, spl0_345, inference(sat_conversion,[],[f2731])).
% 16.01/2.78 cnf(s359, plain, spl0_34, inference(sat_conversion,[],[f2734])).
% 16.01/2.78 cnf(s360, plain, spl0_456, inference(sat_conversion,[],[f2738])).
% 16.01/2.78 cnf(s371, plain, spl0_3 | ~spl0_34 | ~spl0_36, inference(sat_conversion,[],[f2749])).
% 16.01/2.78 cnf(s397, plain, spl0_3 | ~spl0_88 | ~spl0_90, inference(sat_conversion,[],[f2775])).
% 16.01/2.78 cnf(s1489, plain, ~spl0_456 | spl0_457, inference(sat_conversion,[],[f3872])).
% 16.01/2.78 cnf(s1490, plain, ~spl0_457 | spl0_458, inference(sat_conversion,[],[f3881])).
% 16.01/2.78 cnf(s1491, plain, ~spl0_457 | ~spl0_459, inference(sat_conversion,[],[f3885])).
% 16.01/2.78 cnf(s2026, plain, spl0_3 | ~spl0_358 | ~spl0_359, inference(sat_conversion,[],[f4660])).
% 16.01/2.78 cnf(s2145, plain, ~spl0_89 | ~spl0_458 | spl0_468, inference(sat_conversion,[],[f5018])).
% 16.01/2.78 cnf(s2907, plain, ~spl0_384 | spl0_459 | spl0_514, inference(sat_conversion,[],[f7345])).
% 16.01/2.78 cnf(s2916, plain, spl0_3 | ~spl0_385 | ~spl0_386, inference(sat_conversion,[],[f7378])).
% 16.01/2.78 cnf(s3327, plain, ~spl0_48 | ~spl0_514 | ~spl0_523, inference(sat_conversion,[],[f7811])).
% 16.01/2.78 cnf(s3329, plain, ~spl0_342 | spl0_523 | spl0_525, inference(sat_conversion,[],[f7844])).
% 16.01/2.78 cnf(s3330, plain, ~spl0_37 | spl0_523 | spl0_526, inference(sat_conversion,[],[f7848])).
% 16.01/2.78 cnf(s3331, plain, ~spl0_52 | ~spl0_468 | ~spl0_526 | spl0_527, inference(sat_conversion,[],[f7858])).
% 16.01/2.78 cnf(s3333, plain, spl0_3 | ~spl0_525 | ~spl0_527, inference(sat_conversion,[],[f7859])).
% 16.01/2.78 cnf(s3398, plain, spl0_3 | ~spl0_51 | ~spl0_53, inference(sat_conversion,[],[f7924])).
% 16.01/2.78 cnf(s3463, plain, spl0_3 | ~spl0_343 | ~spl0_345, inference(sat_conversion,[],[f7989])).
% 16.01/2.78 cnf(s3530, plain, spl0_457, inference(rat,[],[s1489,s360])).
% 16.01/2.78 cnf(s3531, plain, ~spl0_459, inference(rat,[],[s1491,s3530])).
% 16.01/2.78 cnf(s3532, plain, spl0_458, inference(rat,[],[s1490,s3530])).
% 16.01/2.78 cnf(s3533, plain, ~spl0_343, inference(rat,[],[s3463,s358,s3])).
% 16.01/2.78 cnf(s3534, plain, ~spl0_53, inference(rat,[],[s3398,s351,s3])).
% 16.01/2.78 cnf(s3535, plain, ~spl0_385, inference(rat,[],[s2916,s240,s3])).
% 16.01/2.78 cnf(s3541, plain, ~spl0_359, inference(rat,[],[s2026,s258,s3])).
% 16.01/2.78 cnf(s3590, plain, ~spl0_88, inference(rat,[],[s397,s349,s3])).
% 16.01/2.78 cnf(s3594, plain, ~spl0_36, inference(rat,[],[s371,s359,s3])).
% 16.01/2.78 cnf(s3599, plain, spl0_342, inference(rat,[],[s180,s3533])).
% 16.01/2.78 cnf(s3600, plain, spl0_52, inference(rat,[],[s29,s3534])).
% 16.01/2.78 cnf(s3601, plain, spl0_384, inference(rat,[],[s204,s3535])).
% 16.01/2.78 cnf(s3606, plain, spl0_48, inference(rat,[],[s189,s3541])).
% 16.01/2.78 cnf(s3650, plain, spl0_89, inference(rat,[],[s48,s3590])).
% 16.01/2.78 cnf(s3654, plain, spl0_37, inference(rat,[],[s21,s3594])).
% 16.01/2.78 cnf(s3660, plain, spl0_514, inference(rat,[],[s2907,s3531,s3601])).
% 16.01/2.78 cnf(s3674, plain, spl0_468, inference(rat,[],[s2145,s3532,s3650])).
% 16.01/2.78 cnf(s3677, plain, ~spl0_523, inference(rat,[],[s3327,s3606,s3660])).
% 16.01/2.78 cnf(s3681, plain, spl0_526, inference(rat,[],[s3330,s3654,s3677])).
% 16.01/2.78 cnf(s3682, plain, spl0_525, inference(rat,[],[s3329,s3599,s3677])).
% 16.01/2.78 cnf(s3683, plain, spl0_527, inference(rat,[],[s3331,s3674,s3600,s3681])).
% 16.01/2.78 cnf(s3684, plain, $false, inference(rat,[],[s3333,s3,s3683,s3682])).
% 16.01/2.78 thf(f8056,plain,(
% 16.01/2.78 $false),
% 16.01/2.78 inference(avatar_sat_refutation,[],[s3684])).
% 16.01/2.78 % SZS output end Proof for theBenchmark
% 16.01/2.78 % (2545280)------------------------------
% 16.01/2.78 % (2545280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.78 % (2545280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.78 % (2545280)CaDiCaL version: 2.1.3
% 16.01/2.78 % (2545280)Termination reason: Refutation
% 16.01/2.78 % (2545280)Time elapsed: 0.339 s
% 16.01/2.78 % (2545280)Peak memory usage: 18 MB
% 16.01/2.78 % (2545280)Instructions burned: 1334 (million)
% 16.01/2.78 % (2545043)Success in time 2.519 s
% 16.01/2.78 % Vampire exiting
%------------------------------------------------------------------------------