%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU574^1 : 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 : n010.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 08:30:08 AM UTC 2026
% Result : Theorem 9.43s 1.84s
% Output : Refutation 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU574^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:51:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.25 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
% 0.75/0.38 % (2891355)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.38 % (2891379)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2069484302:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.38 % (2891380)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.38 % (2891380)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
% 0.75/0.38 % (2891376)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2007886317:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.38 % (2891373)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2785417524:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.38 % (2891374)lrs+10_16_si=on:nwc=1.5:random_seed=3124221969:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.38 % (2891380)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=1457743651:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.38 % (2891377)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=3762359020: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)
% 0.75/0.38 % (2891378)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2576629345:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.38 % (2891376)Instruction limit reached!
% 0.75/0.38 % (2891376)------------------------------
% 0.75/0.38 % (2891376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.38 % (2891376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.38 % (2891376)CaDiCaL version: 2.1.3
% 0.75/0.38 % (2891376)Termination reason: Instruction limit
% 0.75/0.38 % (2891376)Termination phase: shuffling
% 0.75/0.38 % (2891376)Time elapsed: 0.002 s
% 0.75/0.38 % (2891376)Peak memory usage: 10 MB
% 0.75/0.38 % (2891376)Instructions burned: 4 (million)
% 0.75/0.38 % (2891374)Instruction limit reached!
% 0.75/0.38 % (2891374)------------------------------
% 0.75/0.38 % (2891374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.38 % (2891374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.38 % (2891374)CaDiCaL version: 2.1.3
% 0.75/0.38 % (2891374)Termination reason: Instruction limit
% 0.75/0.38 % (2891374)Termination phase: Clausification
% 0.75/0.38 % (2891374)Time elapsed: 0.008 s
% 0.75/0.38 % (2891374)Peak memory usage: 10 MB
% 0.75/0.38 % (2891374)Instructions burned: 19 (million)
% 0.75/0.38 % (2891378)Instruction limit reached!
% 0.75/0.38 % (2891378)------------------------------
% 0.75/0.38 % (2891378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.38 % (2891378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.38 % (2891378)CaDiCaL version: 2.1.3
% 0.75/0.38 % (2891378)Termination reason: Instruction limit
% 0.75/0.38 % (2891378)Termination phase: Clausification
% 0.75/0.38 % (2891378)Time elapsed: 0.013 s
% 0.75/0.38 % (2891378)Peak memory usage: 11 MB
% 0.75/0.38 % (2891378)Instructions burned: 25 (million)
% 0.75/0.38 % (2891379)Instruction limit reached!
% 0.75/0.38 % (2891379)------------------------------
% 0.75/0.38 % (2891379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.38 % (2891379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.38 % (2891379)CaDiCaL version: 2.1.3
% 0.75/0.38 % (2891379)Termination reason: Instruction limit
% 0.75/0.38 % (2891379)Termination phase: Saturation
% 0.75/0.38 % (2891379)Time elapsed: 0.020 s
% 0.75/0.38 % (2891379)Peak memory usage: 13 MB
% 0.75/0.38 % (2891379)Instructions burned: 78 (million)
% 0.75/0.38 % (2891396)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2264539367:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.38 % (2891396)Instruction limit reached!
% 0.75/0.38 % (2891396)------------------------------
% 0.75/0.38 % (2891396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2891396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2891396)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2891396)Termination reason: Instruction limit
% 0.75/0.41 % (2891396)Termination phase: shuffling
% 0.75/0.41 % (2891396)Time elapsed: 0.002 s
% 0.75/0.41 % (2891396)Peak memory usage: 10 MB
% 0.75/0.41 % (2891396)Instructions burned: 4 (million)
% 0.75/0.41 % (2891407)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2093459074:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.75/0.41 % (2891400)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=76930179:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.75/0.41 % (2891407)Instruction limit reached!
% 0.75/0.41 % (2891407)------------------------------
% 0.75/0.41 % (2891407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2891407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2891407)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2891407)Termination reason: Instruction limit
% 0.75/0.41 % (2891407)Termination phase: Property scanning
% 0.75/0.41 % (2891407)Time elapsed: 0.003 s
% 0.75/0.41 % (2891407)Peak memory usage: 10 MB
% 0.75/0.41 % (2891407)Instructions burned: 13 (million)
% 0.75/0.41 % (2891406)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.41 % (2891406)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=717798240:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.75/0.41 % (2891400)Instruction limit reached!
% 0.75/0.41 % (2891400)------------------------------
% 0.75/0.41 % (2891400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2891400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2891400)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2891400)Termination reason: Instruction limit
% 0.75/0.41 % (2891400)Termination phase: shuffling
% 0.75/0.41 % (2891400)Time elapsed: 0.005 s
% 0.75/0.41 % (2891400)Peak memory usage: 10 MB
% 0.75/0.41 % (2891400)Instructions burned: 10 (million)
% 0.75/0.41 % (2891406)Instruction limit reached!
% 0.75/0.41 % (2891406)------------------------------
% 0.75/0.41 % (2891406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2891406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2891406)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2891406)Termination reason: Instruction limit
% 0.75/0.41 % (2891406)Termination phase: shuffling
% 0.75/0.41 % (2891406)Time elapsed: 0.004 s
% 0.75/0.41 % (2891406)Peak memory usage: 10 MB
% 0.75/0.41 % (2891406)Instructions burned: 8 (million)
% 0.75/0.41 % (2891414)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
% 0.75/0.41 % (2891414)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.41 % (2891417)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=2885767982:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.75/0.41 % (2891373)Instruction limit reached!
% 0.75/0.41 % (2891373)------------------------------
% 0.75/0.41 % (2891373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2891373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2891373)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2891373)Termination reason: Instruction limit
% 0.75/0.41 % (2891373)Termination phase: Saturation
% 0.75/0.41 % (2891373)Time elapsed: 0.041 s
% 0.75/0.41 % (2891373)Peak memory usage: 13 MB
% 0.75/0.41 % (2891373)Instructions burned: 87 (million)
% 0.75/0.41 % (2891414)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3077478966:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.75/0.41 % (2891422)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.75/0.45 % (2891420)lrs+10_1_si=on:cs=on:random_seed=1081449153:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.75/0.45 % (2891414)Instruction limit reached!
% 0.75/0.45 % (2891414)------------------------------
% 0.75/0.45 % (2891414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (2891414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (2891414)CaDiCaL version: 2.1.3
% 0.75/0.45 % (2891414)Termination reason: Instruction limit
% 0.75/0.45 % (2891414)Termination phase: Clausification
% 0.75/0.45 % (2891414)Time elapsed: 0.012 s
% 0.75/0.45 % (2891414)Peak memory usage: 10 MB
% 0.75/0.45 % (2891414)Instructions burned: 29 (million)
% 0.75/0.45 % (2891422)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=570491785:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.45 % (2891420)Instruction limit reached!
% 0.75/0.45 % (2891420)------------------------------
% 0.75/0.45 % (2891420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (2891420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (2891420)CaDiCaL version: 2.1.3
% 0.75/0.45 % (2891420)Termination reason: Instruction limit
% 0.75/0.45 % (2891420)Termination phase: shuffling
% 0.75/0.45 % (2891420)Time elapsed: 0.004 s
% 0.75/0.45 % (2891420)Peak memory usage: 10 MB
% 0.75/0.45 % (2891420)Instructions burned: 8 (million)
% 0.75/0.45 % (2891417)Instruction limit reached!
% 0.75/0.45 % (2891417)------------------------------
% 0.75/0.45 % (2891417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (2891417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (2891417)CaDiCaL version: 2.1.3
% 0.75/0.45 % (2891417)Termination reason: Instruction limit
% 0.75/0.45 % (2891417)Termination phase: Saturation
% 0.75/0.45 % (2891417)Time elapsed: 0.019 s
% 0.75/0.45 % (2891417)Peak memory usage: 13 MB
% 0.75/0.45 % (2891417)Instructions burned: 87 (million)
% 0.75/0.45 % (2891422)Instruction limit reached!
% 0.75/0.45 % (2891422)------------------------------
% 0.75/0.45 % (2891422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (2891422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (2891422)CaDiCaL version: 2.1.3
% 0.75/0.45 % (2891422)Termination reason: Instruction limit
% 0.75/0.45 % (2891422)Termination phase: shuffling
% 0.75/0.45 % (2891422)Time elapsed: 0.001 s
% 0.75/0.45 % (2891422)Peak memory usage: 10 MB
% 0.75/0.45 % (2891422)Instructions burned: 2 (million)
% 0.75/0.45 % (2891428)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1482080935:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.75/0.45 % (2891380)Instruction limit reached!
% 0.75/0.45 % (2891380)------------------------------
% 0.75/0.45 % (2891380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (2891380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (2891380)CaDiCaL version: 2.1.3
% 0.75/0.45 % (2891380)Termination reason: Instruction limit
% 0.75/0.45 % (2891380)Termination phase: Saturation
% 0.75/0.45 % (2891380)Time elapsed: 0.067 s
% 0.75/0.45 % (2891380)Peak memory usage: 13 MB
% 0.75/0.45 % (2891380)Instructions burned: 159 (million)
% 0.75/0.45 % (2891440)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=508072860:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.75/0.45 % (2891440)Instruction limit reached!
% 0.75/0.45 % (2891440)------------------------------
% 0.75/0.45 % (2891440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.45 % (2891440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.45 % (2891440)CaDiCaL version: 2.1.3
% 0.75/0.45 % (2891440)Termination reason: Instruction limit
% 0.75/0.45 % (2891440)Termination phase: Preprocessing 3
% 0.75/0.45 % (2891440)Time elapsed: 0.004 s
% 0.75/0.45 % (2891440)Peak memory usage: 10 MB
% 0.75/0.45 % (2891440)Instructions burned: 19 (million)
% 0.75/0.45 % (2891435)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1720442702:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.75/0.45 % (2891441)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=812778278:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.42/0.51 % (2891439)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3511614088:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.42/0.51 % (2891428)Instruction limit reached!
% 1.42/0.51 % (2891428)------------------------------
% 1.42/0.51 % (2891428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (2891428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (2891428)CaDiCaL version: 2.1.3
% 1.42/0.51 % (2891428)Termination reason: Instruction limit
% 1.42/0.51 % (2891428)Termination phase: Function definition elimination
% 1.42/0.51 % (2891428)Time elapsed: 0.018 s
% 1.42/0.51 % (2891428)Peak memory usage: 11 MB
% 1.42/0.51 % (2891428)Instructions burned: 39 (million)
% 1.42/0.51 % (2891453)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=855525238: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)
% 1.42/0.51 % (2891446)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=401353631:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.51 % (2891453)Instruction limit reached!
% 1.42/0.51 % (2891453)------------------------------
% 1.42/0.51 % (2891453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (2891453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (2891453)CaDiCaL version: 2.1.3
% 1.42/0.51 % (2891453)Termination reason: Instruction limit
% 1.42/0.51 % (2891453)Termination phase: shuffling
% 1.42/0.51 % (2891453)Time elapsed: 0.001 s
% 1.42/0.51 % (2891453)Peak memory usage: 10 MB
% 1.42/0.51 % (2891453)Instructions burned: 4 (million)
% 1.42/0.51 % (2891439)Instruction limit reached!
% 1.42/0.51 % (2891439)------------------------------
% 1.42/0.51 % (2891439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (2891439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (2891439)CaDiCaL version: 2.1.3
% 1.42/0.51 % (2891439)Termination reason: Instruction limit
% 1.42/0.51 % (2891439)Termination phase: Preprocessing 3
% 1.42/0.51 % (2891439)Time elapsed: 0.013 s
% 1.42/0.51 % (2891439)Peak memory usage: 11 MB
% 1.42/0.51 % (2891439)Instructions burned: 27 (million)
% 1.42/0.51 % (2891446)Instruction limit reached!
% 1.42/0.51 % (2891446)------------------------------
% 1.42/0.51 % (2891446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (2891446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (2891446)CaDiCaL version: 2.1.3
% 1.42/0.51 % (2891446)Termination reason: Instruction limit
% 1.42/0.51 % (2891446)Termination phase: Property scanning
% 1.42/0.51 % (2891446)Time elapsed: 0.006 s
% 1.42/0.51 % (2891446)Peak memory usage: 10 MB
% 1.42/0.51 % (2891446)Instructions burned: 14 (million)
% 1.42/0.51 % (2891467)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=112615742:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.51 % (2891462)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1315319063:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.42/0.51 % (2891467)Instruction limit reached!
% 1.42/0.51 % (2891467)------------------------------
% 1.42/0.51 % (2891467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (2891467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (2891467)CaDiCaL version: 2.1.3
% 1.42/0.51 % (2891467)Termination reason: Instruction limit
% 1.42/0.51 % (2891467)Termination phase: Function definition elimination
% 1.42/0.51 % (2891467)Time elapsed: 0.006 s
% 1.42/0.51 % (2891467)Peak memory usage: 10 MB
% 1.42/0.51 % (2891467)Instructions burned: 28 (million)
% 1.42/0.51 % (2891470)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
% 1.42/0.51 % (2891470)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.42/0.51 % (2891469)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3635772262:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.11/0.57 % (2891470)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=559991863:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.11/0.57 % (2891476)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.11/0.57 % (2891476)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=149866120:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.11/0.57 % (2891462)Instruction limit reached!
% 2.11/0.57 % (2891462)------------------------------
% 2.11/0.57 % (2891462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.57 % (2891462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.57 % (2891462)CaDiCaL version: 2.1.3
% 2.11/0.57 % (2891462)Termination reason: Instruction limit
% 2.11/0.57 % (2891462)Termination phase: Property scanning
% 2.11/0.57 % (2891462)Time elapsed: 0.011 s
% 2.11/0.57 % (2891462)Peak memory usage: 10 MB
% 2.11/0.57 % (2891462)Instructions burned: 28 (million)
% 2.11/0.57 % (2891476)Instruction limit reached!
% 2.11/0.57 % (2891476)------------------------------
% 2.11/0.57 % (2891476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.57 % (2891476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.57 % (2891476)CaDiCaL version: 2.1.3
% 2.11/0.57 % (2891476)Termination reason: Instruction limit
% 2.11/0.57 % (2891476)Termination phase: shuffling
% 2.11/0.57 % (2891476)Time elapsed: 0.003 s
% 2.11/0.57 % (2891476)Peak memory usage: 10 MB
% 2.11/0.57 % (2891476)Instructions burned: 9 (million)
% 2.11/0.57 % (2891470)Instruction limit reached!
% 2.11/0.57 % (2891470)------------------------------
% 2.11/0.57 % (2891470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.57 % (2891470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.57 % (2891470)CaDiCaL version: 2.1.3
% 2.11/0.57 % (2891470)Termination reason: Instruction limit
% 2.11/0.57 % (2891470)Termination phase: Property scanning
% 2.11/0.57 % (2891470)Time elapsed: 0.006 s
% 2.11/0.57 % (2891470)Peak memory usage: 10 MB
% 2.11/0.57 % (2891470)Instructions burned: 14 (million)
% 2.11/0.57 % (2891484)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3583717904:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.11/0.57 % (2891484)Instruction limit reached!
% 2.11/0.57 % (2891484)------------------------------
% 2.11/0.57 % (2891484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.57 % (2891484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.57 % (2891484)CaDiCaL version: 2.1.3
% 2.11/0.57 % (2891484)Termination reason: Instruction limit
% 2.11/0.57 % (2891484)Termination phase: shuffling
% 2.11/0.57 % (2891484)Time elapsed: 0.002 s
% 2.11/0.57 % (2891484)Peak memory usage: 10 MB
% 2.11/0.57 % (2891484)Instructions burned: 8 (million)
% 2.11/0.57 % (2891483)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=3928396276:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.11/0.57 % (2891485)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=169444921:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.11/0.57 % (2891469)Instruction limit reached!
% 2.11/0.57 % (2891469)------------------------------
% 2.11/0.57 % (2891469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.57 % (2891469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.57 % (2891469)CaDiCaL version: 2.1.3
% 2.11/0.57 % (2891469)Termination reason: Instruction limit
% 2.11/0.57 % (2891469)Termination phase: Saturation
% 2.11/0.57 % (2891469)Time elapsed: 0.028 s
% 2.11/0.57 % (2891469)Peak memory usage: 12 MB
% 2.11/0.57 % (2891469)Instructions burned: 60 (million)
% 2.11/0.57 % (2891492)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3457081388:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.11/0.57 % (2891492)Instruction limit reached!
% 2.11/0.57 % (2891492)------------------------------
% 2.43/0.63 % (2891492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.63 % (2891492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.63 % (2891492)CaDiCaL version: 2.1.3
% 2.43/0.63 % (2891492)Termination reason: Instruction limit
% 2.43/0.63 % (2891492)Termination phase: SInE selection
% 2.43/0.63 % (2891492)Time elapsed: 0.004 s
% 2.43/0.63 % (2891492)Peak memory usage: 10 MB
% 2.43/0.63 % (2891492)Instructions burned: 20 (million)
% 2.43/0.63 % (2891485)Instruction limit reached!
% 2.43/0.63 % (2891485)------------------------------
% 2.43/0.63 % (2891485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.63 % (2891485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.63 % (2891485)CaDiCaL version: 2.1.3
% 2.43/0.63 % (2891485)Termination reason: Instruction limit
% 2.43/0.63 % (2891485)Termination phase: Property scanning
% 2.43/0.63 % (2891485)Time elapsed: 0.010 s
% 2.43/0.63 % (2891485)Peak memory usage: 10 MB
% 2.43/0.63 % (2891485)Instructions burned: 23 (million)
% 2.43/0.63 % (2891483)Instruction limit reached!
% 2.43/0.63 % (2891483)------------------------------
% 2.43/0.63 % (2891483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.63 % (2891483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.63 % (2891483)CaDiCaL version: 2.1.3
% 2.43/0.63 % (2891483)Termination reason: Instruction limit
% 2.43/0.63 % (2891483)Termination phase: Saturation
% 2.43/0.63 % (2891483)Time elapsed: 0.014 s
% 2.43/0.63 % (2891483)Peak memory usage: 11 MB
% 2.43/0.63 % (2891483)Instructions burned: 33 (million)
% 2.43/0.63 % (2891503)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3524332393:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.43/0.63 % (2891499)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3991127438:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.43/0.63 % (2891505)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=637406204:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.43/0.63 % (2891506)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3120021232:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.43/0.63 % (2891506)Instruction limit reached!
% 2.43/0.63 % (2891506)------------------------------
% 2.43/0.63 % (2891506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.63 % (2891506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.63 % (2891506)CaDiCaL version: 2.1.3
% 2.43/0.63 % (2891506)Termination reason: Instruction limit
% 2.43/0.63 % (2891506)Termination phase: Saturation
% 2.43/0.63 % (2891506)Time elapsed: 0.018 s
% 2.43/0.63 % (2891506)Peak memory usage: 12 MB
% 2.43/0.63 % (2891506)Instructions burned: 43 (million)
% 2.43/0.63 % (2891503)Instruction limit reached!
% 2.43/0.63 % (2891503)------------------------------
% 2.43/0.63 % (2891503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.63 % (2891503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.63 % (2891503)CaDiCaL version: 2.1.3
% 2.43/0.63 % (2891503)Termination reason: Instruction limit
% 2.43/0.63 % (2891503)Termination phase: Saturation
% 2.43/0.63 % (2891503)Time elapsed: 0.032 s
% 2.43/0.63 % (2891503)Peak memory usage: 14 MB
% 2.43/0.63 % (2891503)Instructions burned: 146 (million)
% 2.43/0.63 % (2891524)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2581410476:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.43/0.63 % (2891435)Instruction limit reached!
% 2.43/0.63 % (2891435)------------------------------
% 2.43/0.63 % (2891435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.63 % (2891522)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.43/0.63 % (2891435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.63 % (2891435)CaDiCaL version: 2.1.3
% 2.43/0.63 % (2891435)Termination reason: Instruction limit
% 2.43/0.63 % (2891435)Termination phase: Saturation
% 2.43/0.63 % (2891435)Time elapsed: 0.127 s
% 2.43/0.63 % (2891435)Peak memory usage: 13 MB
% 2.43/0.63 % (2891435)Instructions burned: 250 (million)
% 2.43/0.63 % (2891522)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3965194620:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.43/0.68 % (2891522)Instruction limit reached!
% 2.43/0.68 % (2891522)------------------------------
% 2.43/0.68 % (2891522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.68 % (2891522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.68 % (2891522)CaDiCaL version: 2.1.3
% 2.43/0.68 % (2891522)Termination reason: Instruction limit
% 2.43/0.68 % (2891522)Termination phase: shuffling
% 2.43/0.68 % (2891522)Time elapsed: 0.004 s
% 2.43/0.68 % (2891522)Peak memory usage: 10 MB
% 2.43/0.68 % (2891522)Instructions burned: 8 (million)
% 2.43/0.68 % (2891531)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=2110270770: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)
% 2.43/0.68 % (2891536)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.43/0.68 % (2891536)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3847018100:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.43/0.68 % (2891536)Instruction limit reached!
% 2.43/0.68 % (2891536)------------------------------
% 2.43/0.68 % (2891536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.68 % (2891536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.68 % (2891536)CaDiCaL version: 2.1.3
% 2.43/0.68 % (2891536)Termination reason: Instruction limit
% 2.43/0.68 % (2891536)Termination phase: Property scanning
% 2.43/0.68 % (2891536)Time elapsed: 0.007 s
% 2.43/0.68 % (2891536)Peak memory usage: 10 MB
% 2.43/0.68 % (2891536)Instructions burned: 12 (million)
% 2.43/0.68 % (2891441)Instruction limit reached!
% 2.43/0.68 % (2891441)------------------------------
% 2.43/0.68 % (2891441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.68 % (2891441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.68 % (2891441)CaDiCaL version: 2.1.3
% 2.43/0.68 % (2891441)Termination reason: Instruction limit
% 2.43/0.68 % (2891441)Termination phase: Saturation
% 2.43/0.68 % (2891441)Time elapsed: 0.164 s
% 2.43/0.68 % (2891441)Peak memory usage: 14 MB
% 2.43/0.68 % (2891441)Instructions burned: 329 (million)
% 2.43/0.68 % (2891524)Instruction limit reached!
% 2.43/0.68 % (2891524)------------------------------
% 2.43/0.68 % (2891524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.68 % (2891524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.68 % (2891524)CaDiCaL version: 2.1.3
% 2.43/0.68 % (2891524)Termination reason: Instruction limit
% 2.43/0.68 % (2891524)Termination phase: Saturation
% 2.43/0.68 % (2891524)Time elapsed: 0.048 s
% 2.43/0.68 % (2891524)Peak memory usage: 14 MB
% 2.43/0.68 % (2891524)Instructions burned: 183 (million)
% 2.43/0.68 % (2891547)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=851905641:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.43/0.68 % (2891551)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=1979011190:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.43/0.68 % (2891548)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=605374169:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.43/0.68 % (2891505)Instruction limit reached!
% 2.43/0.68 % (2891505)------------------------------
% 2.43/0.68 % (2891505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.68 % (2891505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.68 % (2891505)CaDiCaL version: 2.1.3
% 2.43/0.68 % (2891505)Termination reason: Instruction limit
% 2.43/0.68 % (2891505)Termination phase: Saturation
% 2.43/0.68 % (2891505)Time elapsed: 0.101 s
% 2.43/0.68 % (2891505)Peak memory usage: 14 MB
% 2.43/0.68 % (2891505)Instructions burned: 193 (million)
% 2.43/0.68 % (2891547)Instruction limit reached!
% 2.43/0.68 % (2891547)------------------------------
% 2.43/0.68 % (2891547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.74 % (2891547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.74 % (2891547)CaDiCaL version: 2.1.3
% 2.86/0.74 % (2891547)Termination reason: Instruction limit
% 2.86/0.74 % (2891547)Termination phase: Property scanning
% 2.86/0.74 % (2891547)Time elapsed: 0.011 s
% 2.86/0.74 % (2891547)Peak memory usage: 11 MB
% 2.86/0.74 % (2891547)Instructions burned: 24 (million)
% 2.86/0.74 % (2891548)Instruction limit reached!
% 2.86/0.74 % (2891548)------------------------------
% 2.86/0.74 % (2891548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.74 % (2891548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.74 % (2891548)CaDiCaL version: 2.1.3
% 2.86/0.74 % (2891548)Termination reason: Instruction limit
% 2.86/0.74 % (2891548)Termination phase: Preprocessing 3
% 2.86/0.74 % (2891548)Time elapsed: 0.009 s
% 2.86/0.74 % (2891548)Peak memory usage: 10 MB
% 2.86/0.74 % (2891548)Instructions burned: 20 (million)
% 2.86/0.74 % (2891569)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=1745912493:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.86/0.74 % (2891570)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=119620414:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.86/0.74 % (2891572)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2460969795:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.86/0.74 % (2891531)Instruction limit reached!
% 2.86/0.74 % (2891531)------------------------------
% 2.86/0.74 % (2891531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.74 % (2891531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.74 % (2891531)CaDiCaL version: 2.1.3
% 2.86/0.74 % (2891531)Termination reason: Instruction limit
% 2.86/0.74 % (2891531)Termination phase: Saturation
% 2.86/0.74 % (2891531)Time elapsed: 0.072 s
% 2.86/0.74 % (2891531)Peak memory usage: 13 MB
% 2.86/0.74 % (2891531)Instructions burned: 171 (million)
% 2.86/0.74 % (2891570)Instruction limit reached!
% 2.86/0.74 % (2891570)------------------------------
% 2.86/0.74 % (2891570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.74 % (2891570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.74 % (2891570)CaDiCaL version: 2.1.3
% 2.86/0.74 % (2891570)Termination reason: Instruction limit
% 2.86/0.74 % (2891570)Termination phase: Property scanning
% 2.86/0.74 % (2891570)Time elapsed: 0.021 s
% 2.86/0.74 % (2891570)Peak memory usage: 12 MB
% 2.86/0.74 % (2891570)Instructions burned: 45 (million)
% 2.86/0.74 % (2891592)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2984161577:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.86/0.74 % (2891592)Instruction limit reached!
% 2.86/0.74 % (2891592)------------------------------
% 2.86/0.74 % (2891592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.74 % (2891592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.74 % (2891592)CaDiCaL version: 2.1.3
% 2.86/0.74 % (2891592)Termination reason: Instruction limit
% 2.86/0.74 % (2891592)Termination phase: Property scanning
% 2.86/0.74 % (2891592)Time elapsed: 0.009 s
% 2.86/0.74 % (2891592)Peak memory usage: 10 MB
% 2.86/0.74 % (2891592)Instructions burned: 22 (million)
% 2.86/0.74 % (2891596)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.86/0.74 % (2891572)Refutation not found, incomplete strategy
% 2.86/0.74 % (2891572)------------------------------
% 2.86/0.74 % (2891572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.86/0.74 % (2891572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/0.74 % (2891572)CaDiCaL version: 2.1.3
% 2.86/0.74 % (2891572)Termination reason: Refutation not found, incomplete strategy
% 2.86/0.74 % (2891572)Time elapsed: 0.037 s
% 2.86/0.74 % (2891572)Peak memory usage: 13 MB
% 2.86/0.74 % (2891572)Instructions burned: 77 (million)
% 3.27/0.90 % (2891572)------------------------------
% 3.27/0.90 % (2891572)------------------------------
% 3.27/0.90 % (2891551)Instruction limit reached!
% 3.27/0.90 % (2891551)------------------------------
% 3.27/0.90 % (2891551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.90 % (2891551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.90 % (2891551)CaDiCaL version: 2.1.3
% 3.27/0.90 % (2891551)Termination reason: Instruction limit
% 3.27/0.90 % (2891551)Termination phase: Saturation
% 3.27/0.90 % (2891551)Time elapsed: 0.071 s
% 3.27/0.90 % (2891551)Peak memory usage: 15 MB
% 3.27/0.90 % (2891551)Instructions burned: 317 (million)
% 3.27/0.90 % (2891596)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3882628208:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.27/0.90 % (2891604)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4257674596:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.27/0.90 % (2891601)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2777580679:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.27/0.90 % (2891602)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=3118226308:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.27/0.90 % (2891377)Instruction limit reached!
% 3.27/0.90 % (2891377)------------------------------
% 3.27/0.90 % (2891377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.90 % (2891377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.90 % (2891377)CaDiCaL version: 2.1.3
% 3.27/0.90 % (2891377)Termination reason: Instruction limit
% 3.27/0.90 % (2891377)Termination phase: Saturation
% 3.27/0.90 % (2891377)Time elapsed: 0.348 s
% 3.27/0.90 % (2891377)Peak memory usage: 18 MB
% 3.27/0.90 % (2891377)Instructions burned: 635 (million)
% 3.27/0.90 % (2891601)Instruction limit reached!
% 3.27/0.90 % (2891601)------------------------------
% 3.27/0.90 % (2891601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.90 % (2891601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.90 % (2891601)CaDiCaL version: 2.1.3
% 3.27/0.90 % (2891601)Termination reason: Instruction limit
% 3.27/0.90 % (2891601)Termination phase: Property scanning
% 3.27/0.90 % (2891601)Time elapsed: 0.006 s
% 3.27/0.90 % (2891601)Peak memory usage: 10 MB
% 3.27/0.90 % (2891601)Instructions burned: 14 (million)
% 3.27/0.90 % (2891604)Instruction limit reached!
% 3.27/0.90 % (2891604)------------------------------
% 3.27/0.90 % (2891604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.90 % (2891604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.90 % (2891604)CaDiCaL version: 2.1.3
% 3.27/0.90 % (2891604)Termination reason: Instruction limit
% 3.27/0.90 % (2891604)Termination phase: Saturation
% 3.27/0.90 % (2891604)Time elapsed: 0.012 s
% 3.27/0.90 % (2891604)Peak memory usage: 12 MB
% 3.27/0.90 % (2891604)Instructions burned: 52 (million)
% 3.27/0.90 % (2891610)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=1893965089:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.27/0.90 % (2891608)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=345264438:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.27/0.90 % (2891609)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1320138487:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.27/0.90 % (2891610)Instruction limit reached!
% 3.27/0.90 % (2891610)------------------------------
% 3.27/0.90 % (2891610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.90 % (2891610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.90 % (2891610)CaDiCaL version: 2.1.3
% 3.27/0.90 % (2891610)Termination reason: Instruction limit
% 3.27/0.90 % (2891610)Termination phase: Property scanning
% 3.27/0.90 % (2891610)Time elapsed: 0.007 s
% 3.27/0.90 % (2891610)Peak memory usage: 10 MB
% 3.27/0.90 % (2891610)Instructions burned: 35 (million)
% 3.27/0.90 % (2891602)Instruction limit reached!
% 3.27/0.90 % (2891602)------------------------------
% 5.40/1.08 % (2891602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.08 % (2891602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.08 % (2891602)CaDiCaL version: 2.1.3
% 5.40/1.08 % (2891602)Termination reason: Instruction limit
% 5.40/1.08 % (2891602)Termination phase: Saturation
% 5.40/1.08 % (2891602)Time elapsed: 0.029 s
% 5.40/1.08 % (2891602)Peak memory usage: 13 MB
% 5.40/1.08 % (2891602)Instructions burned: 68 (million)
% 5.40/1.08 % (2891614)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3271115786:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.40/1.08 % (2891608)Instruction limit reached!
% 5.40/1.08 % (2891608)------------------------------
% 5.40/1.08 % (2891608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.08 % (2891608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.08 % (2891608)CaDiCaL version: 2.1.3
% 5.40/1.08 % (2891608)Termination reason: Instruction limit
% 5.40/1.08 % (2891608)Termination phase: Function definition elimination
% 5.40/1.08 % (2891608)Time elapsed: 0.013 s
% 5.40/1.08 % (2891608)Peak memory usage: 10 MB
% 5.40/1.08 % (2891608)Instructions burned: 31 (million)
% 5.40/1.08 % (2891615)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.40/1.08 % (2891615)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3144424142:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.40/1.08 % (2891614)Instruction limit reached!
% 5.40/1.08 % (2891614)------------------------------
% 5.40/1.08 % (2891614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.08 % (2891614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.08 % (2891614)CaDiCaL version: 2.1.3
% 5.40/1.08 % (2891614)Termination reason: Instruction limit
% 5.40/1.08 % (2891614)Termination phase: Saturation
% 5.40/1.08 % (2891614)Time elapsed: 0.016 s
% 5.40/1.08 % (2891614)Peak memory usage: 12 MB
% 5.40/1.08 % (2891614)Instructions burned: 69 (million)
% 5.40/1.08 % (2891617)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2987662661:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.40/1.08 % (2891619)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2076966598:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 5.40/1.08 % (2891596)Instruction limit reached!
% 5.40/1.08 % (2891596)------------------------------
% 5.40/1.08 % (2891596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.08 % (2891596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.08 % (2891596)CaDiCaL version: 2.1.3
% 5.40/1.08 % (2891596)Termination reason: Instruction limit
% 5.40/1.08 % (2891596)Termination phase: Saturation
% 5.40/1.08 % (2891596)Time elapsed: 0.087 s
% 5.40/1.08 % (2891596)Peak memory usage: 13 MB
% 5.40/1.08 % (2891596)Instructions burned: 202 (million)
% 5.40/1.08 % (2891609)Instruction limit reached!
% 5.40/1.08 % (2891609)------------------------------
% 5.40/1.08 % (2891609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.08 % (2891609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.08 % (2891609)CaDiCaL version: 2.1.3
% 5.40/1.08 % (2891609)Termination reason: Instruction limit
% 5.40/1.08 % (2891609)Termination phase: Saturation
% 5.40/1.08 % (2891609)Time elapsed: 0.058 s
% 5.40/1.08 % (2891609)Peak memory usage: 13 MB
% 5.40/1.08 % (2891609)Instructions burned: 138 (million)
% 5.40/1.08 % (2891619)Instruction limit reached!
% 5.40/1.08 % (2891619)------------------------------
% 5.40/1.08 % (2891619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.08 % (2891619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.08 % (2891619)CaDiCaL version: 2.1.3
% 5.40/1.08 % (2891619)Termination reason: Instruction limit
% 5.40/1.08 % (2891619)Termination phase: Saturation
% 5.40/1.08 % (2891619)Time elapsed: 0.023 s
% 5.40/1.08 % (2891619)Peak memory usage: 13 MB
% 5.40/1.08 % (2891619)Instructions burned: 99 (million)
% 5.40/1.08 % (2891622)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3709549614:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 5.40/1.08 % (2891624)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1322776831:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 6.06/1.17 % (2891623)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2238869345:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 6.06/1.17 % (2891615)Instruction limit reached!
% 6.06/1.17 % (2891615)------------------------------
% 6.06/1.17 % (2891615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.17 % (2891615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.17 % (2891615)CaDiCaL version: 2.1.3
% 6.06/1.17 % (2891615)Termination reason: Instruction limit
% 6.06/1.17 % (2891615)Termination phase: Saturation
% 6.06/1.17 % (2891615)Time elapsed: 0.080 s
% 6.06/1.17 % (2891615)Peak memory usage: 13 MB
% 6.06/1.17 % (2891615)Instructions burned: 182 (million)
% 6.06/1.17 % (2891628)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2251062791:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 6.06/1.17 % (2891617)Instruction limit reached!
% 6.06/1.17 % (2891617)------------------------------
% 6.06/1.17 % (2891617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.17 % (2891617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.17 % (2891617)CaDiCaL version: 2.1.3
% 6.06/1.17 % (2891617)Termination reason: Instruction limit
% 6.06/1.17 % (2891617)Termination phase: Saturation
% 6.06/1.17 % (2891617)Time elapsed: 0.122 s
% 6.06/1.17 % (2891617)Peak memory usage: 13 MB
% 6.06/1.17 % (2891617)Instructions burned: 247 (million)
% 6.06/1.17 % (2891630)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=670559510:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 6.06/1.17 % (2891628)Instruction limit reached!
% 6.06/1.17 % (2891628)------------------------------
% 6.06/1.17 % (2891628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.17 % (2891628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.17 % (2891628)CaDiCaL version: 2.1.3
% 6.06/1.17 % (2891628)Termination reason: Instruction limit
% 6.06/1.17 % (2891628)Termination phase: Saturation
% 6.06/1.17 % (2891628)Time elapsed: 0.054 s
% 6.06/1.17 % (2891628)Peak memory usage: 13 MB
% 6.06/1.17 % (2891628)Instructions burned: 130 (million)
% 6.06/1.17 % (2891630)Instruction limit reached!
% 6.06/1.17 % (2891630)------------------------------
% 6.06/1.17 % (2891630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.17 % (2891630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.17 % (2891630)CaDiCaL version: 2.1.3
% 6.06/1.17 % (2891630)Termination reason: Instruction limit
% 6.06/1.17 % (2891630)Termination phase: Saturation
% 6.06/1.17 % (2891630)Time elapsed: 0.018 s
% 6.06/1.17 % (2891630)Peak memory usage: 11 MB
% 6.06/1.17 % (2891630)Instructions burned: 45 (million)
% 6.06/1.17 % (2891624)Instruction limit reached!
% 6.06/1.17 % (2891624)------------------------------
% 6.06/1.17 % (2891624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.17 % (2891624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.17 % (2891624)CaDiCaL version: 2.1.3
% 6.06/1.17 % (2891624)Termination reason: Instruction limit
% 6.06/1.17 % (2891624)Termination phase: Saturation
% 6.06/1.17 % (2891624)Time elapsed: 0.124 s
% 6.06/1.17 % (2891624)Peak memory usage: 14 MB
% 6.06/1.17 % (2891624)Instructions burned: 516 (million)
% 6.06/1.17 % (2891632)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=906273865:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 6.06/1.17 % (2891634)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2853944468:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 6.06/1.17 % (2891633)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4088919182:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 6.06/1.17 % (2891499)Instruction limit reached!
% 6.06/1.17 % (2891499)------------------------------
% 6.06/1.17 % (2891499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.17 % (2891499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.17 % (2891499)CaDiCaL version: 2.1.3
% 6.06/1.17 % (2891499)Termination reason: Instruction limit
% 6.51/1.26 % (2891499)Termination phase: Saturation
% 6.51/1.26 % (2891499)Time elapsed: 0.433 s
% 6.51/1.26 % (2891499)Peak memory usage: 14 MB
% 6.51/1.26 % (2891499)Instructions burned: 1241 (million)
% 6.51/1.26 % (2891634)Instruction limit reached!
% 6.51/1.26 % (2891634)------------------------------
% 6.51/1.26 % (2891634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.26 % (2891634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.26 % (2891634)CaDiCaL version: 2.1.3
% 6.51/1.26 % (2891634)Termination reason: Instruction limit
% 6.51/1.26 % (2891634)Termination phase: Saturation
% 6.51/1.26 % (2891634)Time elapsed: 0.022 s
% 6.51/1.26 % (2891634)Peak memory usage: 13 MB
% 6.51/1.26 % (2891634)Instructions burned: 95 (million)
% 6.51/1.26 % (2891639)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=2477150795: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_2993 on theBenchmark for (2993ds/105Mi)
% 6.51/1.26 % (2891638)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=2059635559:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 6.51/1.26 % (2891639)Instruction limit reached!
% 6.51/1.26 % (2891639)------------------------------
% 6.51/1.26 % (2891639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.26 % (2891639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.26 % (2891639)CaDiCaL version: 2.1.3
% 6.51/1.26 % (2891639)Termination reason: Instruction limit
% 6.51/1.26 % (2891639)Termination phase: Saturation
% 6.51/1.26 % (2891639)Time elapsed: 0.023 s
% 6.51/1.26 % (2891639)Peak memory usage: 12 MB
% 6.51/1.26 % (2891639)Instructions burned: 109 (million)
% 6.51/1.26 % (2891638)Instruction limit reached!
% 6.51/1.26 % (2891638)------------------------------
% 6.51/1.26 % (2891638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.26 % (2891638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.26 % (2891638)CaDiCaL version: 2.1.3
% 6.51/1.26 % (2891638)Termination reason: Instruction limit
% 6.51/1.26 % (2891638)Termination phase: Saturation
% 6.51/1.26 % (2891638)Time elapsed: 0.027 s
% 6.51/1.26 % (2891638)Peak memory usage: 12 MB
% 6.51/1.26 % (2891638)Instructions burned: 65 (million)
% 6.51/1.26 % (2891642)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=3248839396:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 6.51/1.26 % (2891622)Instruction limit reached!
% 6.51/1.26 % (2891622)------------------------------
% 6.51/1.26 % (2891622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.26 % (2891622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.26 % (2891622)CaDiCaL version: 2.1.3
% 6.51/1.26 % (2891622)Termination reason: Instruction limit
% 6.51/1.26 % (2891622)Termination phase: Saturation
% 6.51/1.26 % (2891622)Time elapsed: 0.212 s
% 6.51/1.26 % (2891622)Peak memory usage: 14 MB
% 6.51/1.26 % (2891622)Instructions burned: 427 (million)
% 6.51/1.26 % (2891643)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2603061429:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.51/1.26 % (2891645)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1050510070:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.51/1.26 % (2891569)Instruction limit reached!
% 6.51/1.26 % (2891569)------------------------------
% 6.51/1.26 % (2891569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.26 % (2891569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.26 % (2891569)CaDiCaL version: 2.1.3
% 6.51/1.26 % (2891569)Termination reason: Instruction limit
% 6.51/1.26 % (2891569)Termination phase: Saturation
% 6.51/1.26 % (2891569)Time elapsed: 0.470 s
% 6.51/1.26 % (2891569)Peak memory usage: 20 MB
% 6.51/1.26 % (2891569)Instructions burned: 854 (million)
% 6.51/1.26 % (2891633)Instruction limit reached!
% 6.51/1.26 % (2891633)------------------------------
% 6.51/1.26 % (2891633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.39 % (2891633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.39 % (2891633)CaDiCaL version: 2.1.3
% 6.75/1.39 % (2891633)Termination reason: Instruction limit
% 6.75/1.39 % (2891633)Termination phase: Saturation
% 6.75/1.39 % (2891633)Time elapsed: 0.195 s
% 6.75/1.39 % (2891633)Peak memory usage: 17 MB
% 6.75/1.39 % (2891633)Instructions burned: 452 (million)
% 6.75/1.39 % (2891648)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=2535106607:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.75/1.39 % (2891649)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3370966425:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.75/1.39 % (2891648)Instruction limit reached!
% 6.75/1.39 % (2891648)------------------------------
% 6.75/1.39 % (2891648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.39 % (2891648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.39 % (2891648)CaDiCaL version: 2.1.3
% 6.75/1.39 % (2891648)Termination reason: Instruction limit
% 6.75/1.39 % (2891648)Termination phase: Property scanning
% 6.75/1.39 % (2891648)Time elapsed: 0.015 s
% 6.75/1.39 % (2891648)Peak memory usage: 10 MB
% 6.75/1.39 % (2891648)Instructions burned: 36 (million)
% 6.75/1.39 % (2891652)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=263514961: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)
% 6.75/1.39 % (2891649)Instruction limit reached!
% 6.75/1.39 % (2891649)------------------------------
% 6.75/1.39 % (2891649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.39 % (2891649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.39 % (2891649)CaDiCaL version: 2.1.3
% 6.75/1.39 % (2891649)Termination reason: Instruction limit
% 6.75/1.39 % (2891649)Termination phase: Saturation
% 6.75/1.39 % (2891649)Time elapsed: 0.042 s
% 6.75/1.39 % (2891649)Peak memory usage: 13 MB
% 6.75/1.39 % (2891649)Instructions burned: 92 (million)
% 6.75/1.39 % (2891652)Instruction limit reached!
% 6.75/1.39 % (2891652)------------------------------
% 6.75/1.39 % (2891652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.39 % (2891652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.39 % (2891652)CaDiCaL version: 2.1.3
% 6.75/1.39 % (2891652)Termination reason: Instruction limit
% 6.75/1.39 % (2891652)Termination phase: Saturation
% 6.75/1.39 % (2891652)Time elapsed: 0.031 s
% 6.75/1.39 % (2891652)Peak memory usage: 13 MB
% 6.75/1.39 % (2891652)Instructions burned: 67 (million)
% 6.75/1.39 % (2891632)Instruction limit reached!
% 6.75/1.39 % (2891632)------------------------------
% 6.75/1.39 % (2891632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.39 % (2891632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.39 % (2891632)CaDiCaL version: 2.1.3
% 6.75/1.39 % (2891632)Termination reason: Instruction limit
% 6.75/1.39 % (2891632)Termination phase: Saturation
% 6.75/1.39 % (2891632)Time elapsed: 0.279 s
% 6.75/1.39 % (2891632)Peak memory usage: 16 MB
% 6.75/1.39 % (2891632)Instructions burned: 571 (million)
% 6.75/1.39 % (2891654)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2032349611:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 6.75/1.39 % (2891643)Instruction limit reached!
% 6.75/1.39 % (2891643)------------------------------
% 6.75/1.39 % (2891643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.39 % (2891643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.39 % (2891643)CaDiCaL version: 2.1.3
% 6.75/1.39 % (2891643)Termination reason: Instruction limit
% 6.75/1.39 % (2891643)Termination phase: Saturation
% 6.75/1.39 % (2891643)Time elapsed: 0.199 s
% 6.75/1.39 % (2891643)Peak memory usage: 15 MB
% 6.75/1.39 % (2891643)Instructions burned: 376 (million)
% 6.75/1.39 % (2891655)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=953875291:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 6.75/1.39 % (2891654)Instruction limit reached!
% 6.75/1.39 % (2891654)------------------------------
% 6.75/1.39 % (2891654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.54 % (2891654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.54 % (2891654)CaDiCaL version: 2.1.3
% 8.12/1.54 % (2891654)Termination reason: Instruction limit
% 8.12/1.54 % (2891654)Termination phase: Property scanning
% 8.12/1.54 % (2891654)Time elapsed: 0.010 s
% 8.12/1.54 % (2891654)Peak memory usage: 10 MB
% 8.12/1.54 % (2891654)Instructions burned: 23 (million)
% 8.12/1.54 % (2891623)Instruction limit reached!
% 8.12/1.54 % (2891623)------------------------------
% 8.12/1.54 % (2891623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.54 % (2891623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.54 % (2891623)CaDiCaL version: 2.1.3
% 8.12/1.54 % (2891623)Termination reason: Instruction limit
% 8.12/1.54 % (2891623)Termination phase: Saturation
% 8.12/1.54 % (2891623)Time elapsed: 0.423 s
% 8.12/1.54 % (2891623)Peak memory usage: 15 MB
% 8.12/1.54 % (2891623)Instructions burned: 874 (million)
% 8.12/1.54 % (2891656)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1996582248:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 8.12/1.54 % (2891658)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 8.12/1.54 % (2891658)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=364583829:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/137Mi)
% 8.12/1.54 % (2891656)Instruction limit reached!
% 8.12/1.54 % (2891656)------------------------------
% 8.12/1.54 % (2891656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.54 % (2891656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.54 % (2891656)CaDiCaL version: 2.1.3
% 8.12/1.54 % (2891656)Termination reason: Instruction limit
% 8.12/1.54 % (2891656)Termination phase: Property scanning
% 8.12/1.54 % (2891656)Time elapsed: 0.013 s
% 8.12/1.54 % (2891656)Peak memory usage: 11 MB
% 8.12/1.54 % (2891656)Instructions burned: 30 (million)
% 8.12/1.54 % (2891660)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=2490168623:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/340Mi)
% 8.12/1.54 % (2891662)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2517694105:i=227:sd=1:bd=all:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/227Mi)
% 8.12/1.54 % (2891664)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 8.12/1.54 % (2891664)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4092846128:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/373Mi)
% 8.12/1.54 % (2891645)Instruction limit reached!
% 8.12/1.54 % (2891645)------------------------------
% 8.12/1.54 % (2891645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.54 % (2891645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.54 % (2891645)CaDiCaL version: 2.1.3
% 8.12/1.54 % (2891645)Termination reason: Instruction limit
% 8.12/1.54 % (2891645)Termination phase: Saturation
% 8.12/1.54 % (2891645)Time elapsed: 0.262 s
% 8.12/1.54 % (2891645)Peak memory usage: 16 MB
% 8.12/1.54 % (2891645)Instructions burned: 495 (million)
% 8.12/1.54 % (2891658)Instruction limit reached!
% 8.12/1.54 % (2891658)------------------------------
% 8.12/1.54 % (2891658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.54 % (2891658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.54 % (2891658)CaDiCaL version: 2.1.3
% 8.12/1.54 % (2891658)Termination reason: Instruction limit
% 8.12/1.54 % (2891658)Termination phase: Saturation
% 8.12/1.54 % (2891658)Time elapsed: 0.059 s
% 8.12/1.54 % (2891658)Peak memory usage: 13 MB
% 8.12/1.54 % (2891658)Instructions burned: 137 (million)
% 8.12/1.54 % (2891668)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1597874899:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 8.12/1.54 % (2891669)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3996694961:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 9.18/1.72 % (2891655)Instruction limit reached!
% 9.18/1.72 % (2891655)------------------------------
% 9.18/1.72 % (2891655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.72 % (2891662)Instruction limit reached!
% 9.18/1.72 % (2891662)------------------------------
% 9.18/1.72 % (2891662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.72 % (2891662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.72 % (2891655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.72 % (2891655)CaDiCaL version: 2.1.3
% 9.18/1.72 % (2891662)CaDiCaL version: 2.1.3
% 9.18/1.72 % (2891655)Termination reason: Instruction limit
% 9.18/1.72 % (2891655)Termination phase: Saturation
% 9.18/1.72 % (2891662)Termination reason: Instruction limit
% 9.18/1.72 % (2891662)Termination phase: Saturation
% 9.18/1.72 % (2891662)Time elapsed: 0.116 s
% 9.18/1.72 % (2891655)Time elapsed: 0.139 s
% 9.18/1.72 % (2891662)Peak memory usage: 13 MB
% 9.18/1.72 % (2891662)Instructions burned: 228 (million)
% 9.18/1.72 % (2891655)Peak memory usage: 15 MB
% 9.18/1.72 % (2891655)Instructions burned: 339 (million)
% 9.18/1.72 % (2891668)Instruction limit reached!
% 9.18/1.72 % (2891668)------------------------------
% 9.18/1.72 % (2891668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.72 % (2891668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.72 % (2891668)CaDiCaL version: 2.1.3
% 9.18/1.72 % (2891668)Termination reason: Instruction limit
% 9.18/1.72 % (2891668)Termination phase: Saturation
% 9.18/1.72 % (2891668)Time elapsed: 0.057 s
% 9.18/1.72 % (2891668)Peak memory usage: 14 MB
% 9.18/1.72 % (2891668)Instructions burned: 117 (million)
% 9.18/1.72 % (2891672)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3307499138: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)
% 9.18/1.72 % (2891673)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=3594044736: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)
% 9.18/1.72 % (2891674)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2032992881:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 9.18/1.72 % (2891660)Instruction limit reached!
% 9.18/1.72 % (2891660)------------------------------
% 9.18/1.72 % (2891660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.72 % (2891660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.72 % (2891660)CaDiCaL version: 2.1.3
% 9.18/1.72 % (2891660)Termination reason: Instruction limit
% 9.18/1.72 % (2891660)Termination phase: Saturation
% 9.18/1.72 % (2891660)Time elapsed: 0.145 s
% 9.18/1.72 % (2891660)Peak memory usage: 13 MB
% 9.18/1.72 % (2891660)Instructions burned: 341 (million)
% 9.18/1.72 % (2891678)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
% 9.18/1.72 % (2891678)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=3687627036:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 9.18/1.72 % (2891664)Instruction limit reached!
% 9.18/1.72 % (2891664)------------------------------
% 9.18/1.72 % (2891664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.72 % (2891664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.72 % (2891664)CaDiCaL version: 2.1.3
% 9.18/1.72 % (2891664)Termination reason: Instruction limit
% 9.18/1.72 % (2891664)Termination phase: Saturation
% 9.18/1.72 % (2891664)Time elapsed: 0.171 s
% 9.18/1.72 % (2891664)Peak memory usage: 13 MB
% 9.18/1.72 % (2891664)Instructions burned: 373 (million)
% 9.18/1.72 % (2891678)Refutation not found, incomplete strategy
% 9.18/1.72 % (2891678)------------------------------
% 9.18/1.72 % (2891678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.72 % (2891678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.72 % (2891678)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891678)Termination reason: Refutation not found, incomplete strategy
% 9.43/1.84 % (2891678)Time elapsed: 0.035 s
% 9.43/1.84 % (2891678)Peak memory usage: 13 MB
% 9.43/1.84 % (2891678)Instructions burned: 78 (million)
% 9.43/1.84 % (2891678)------------------------------
% 9.43/1.84 % (2891678)------------------------------
% 9.43/1.84 % (2891680)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2582483625:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 9.43/1.84 % (2891681)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 9.43/1.84 % (2891681)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
% 9.43/1.84 % (2891681)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=980715064:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 9.43/1.84 % (2891680)Instruction limit reached!
% 9.43/1.84 % (2891680)------------------------------
% 9.43/1.84 % (2891680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891680)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891680)Termination reason: Instruction limit
% 9.43/1.84 % (2891680)Termination phase: Property scanning
% 9.43/1.84 % (2891680)Time elapsed: 0.014 s
% 9.43/1.84 % (2891680)Peak memory usage: 10 MB
% 9.43/1.84 % (2891680)Instructions burned: 32 (million)
% 9.43/1.84 % (2891684)dis+10_2_sil=128000:si=on:random_seed=1707104985:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 9.43/1.84 % (2891672)Instruction limit reached!
% 9.43/1.84 % (2891672)------------------------------
% 9.43/1.84 % (2891672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891672)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891672)Termination reason: Instruction limit
% 9.43/1.84 % (2891672)Termination phase: Saturation
% 9.43/1.84 % (2891672)Time elapsed: 0.130 s
% 9.43/1.84 % (2891672)Peak memory usage: 14 MB
% 9.43/1.84 % (2891672)Instructions burned: 271 (million)
% 9.43/1.84 % (2891686)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3303307876:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 9.43/1.84 % (2891674)Instruction limit reached!
% 9.43/1.84 % (2891674)------------------------------
% 9.43/1.84 % (2891674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891674)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891674)Termination reason: Instruction limit
% 9.43/1.84 % (2891674)Termination phase: Saturation
% 9.43/1.84 % (2891674)Time elapsed: 0.160 s
% 9.43/1.84 % (2891674)Peak memory usage: 13 MB
% 9.43/1.84 % (2891674)Instructions burned: 421 (million)
% 9.43/1.84 % (2891688)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=359373039:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/122Mi)
% 9.43/1.84 % (2891686)Instruction limit reached!
% 9.43/1.84 % (2891686)------------------------------
% 9.43/1.84 % (2891686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891686)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891686)Termination reason: Instruction limit
% 9.43/1.84 % (2891686)Termination phase: Saturation
% 9.43/1.84 % (2891686)Time elapsed: 0.053 s
% 9.43/1.84 % (2891686)Peak memory usage: 13 MB
% 9.43/1.84 % (2891686)Instructions burned: 112 (million)
% 9.43/1.84 % (2891669)Instruction limit reached!
% 9.43/1.84 % (2891669)------------------------------
% 9.43/1.84 % (2891669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891669)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891669)Termination reason: Instruction limit
% 9.43/1.84 % (2891669)Termination phase: Saturation
% 9.43/1.84 % (2891669)Time elapsed: 0.283 s
% 9.43/1.84 % (2891669)Peak memory usage: 15 MB
% 9.43/1.84 % (2891669)Instructions burned: 576 (million)
% 9.43/1.84 % (2891690)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=2112835989:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/136Mi)
% 9.43/1.84 % (2891691)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=213744725:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 9.43/1.84 % (2891688)Instruction limit reached!
% 9.43/1.84 % (2891688)------------------------------
% 9.43/1.84 % (2891688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891688)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891688)Termination reason: Instruction limit
% 9.43/1.84 % (2891688)Termination phase: Saturation
% 9.43/1.84 % (2891688)Time elapsed: 0.054 s
% 9.43/1.84 % (2891688)Peak memory usage: 13 MB
% 9.43/1.84 % (2891688)Instructions burned: 122 (million)
% 9.43/1.84 % (2891684)Instruction limit reached!
% 9.43/1.84 % (2891684)------------------------------
% 9.43/1.84 % (2891684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891684)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891684)Termination reason: Instruction limit
% 9.43/1.84 % (2891684)Termination phase: Saturation
% 9.43/1.84 % (2891684)Time elapsed: 0.147 s
% 9.43/1.84 % (2891684)Peak memory usage: 13 MB
% 9.43/1.84 % (2891684)Instructions burned: 339 (million)
% 9.43/1.84 % (2891694)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=1638299292:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/1254Mi)
% 9.43/1.84 % (2891695)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.43/1.84 % (2891695)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=1865795096:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2986 on theBenchmark for (2986ds/281Mi)
% 9.43/1.84 % (2891690)Instruction limit reached!
% 9.43/1.84 % (2891690)------------------------------
% 9.43/1.84 % (2891690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891690)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891690)Termination reason: Instruction limit
% 9.43/1.84 % (2891690)Termination phase: Saturation
% 9.43/1.84 % (2891690)Time elapsed: 0.068 s
% 9.43/1.84 % (2891690)Peak memory usage: 13 MB
% 9.43/1.84 % (2891690)Instructions burned: 137 (million)
% 9.43/1.84 % (2891698)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3516720066:i=619:add=on:rtra=on_2986 on theBenchmark for (2986ds/619Mi)
% 9.43/1.84 % (2891691)Instruction limit reached!
% 9.43/1.84 % (2891691)------------------------------
% 9.43/1.84 % (2891691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891691)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891691)Termination reason: Instruction limit
% 9.43/1.84 % (2891691)Termination phase: Saturation
% 9.43/1.84 % (2891691)Time elapsed: 0.125 s
% 9.43/1.84 % (2891691)Peak memory usage: 15 MB
% 9.43/1.84 % (2891691)Instructions burned: 233 (million)
% 9.43/1.84 % (2891700)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=4197034206:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/865Mi)
% 9.43/1.84 % (2891695)Instruction limit reached!
% 9.43/1.84 % (2891695)------------------------------
% 9.43/1.84 % (2891695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.84 % (2891695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.84 % (2891695)CaDiCaL version: 2.1.3
% 9.43/1.84 % (2891695)Termination reason: Instruction limit
% 9.43/1.84 % (2891695)Termination phase: Saturation
% 9.43/1.84 % (2891695)Time elapsed: 0.121 s
% 9.43/1.84 % (2891695)Peak memory usage: 14 MB
% 9.43/1.84 % (2891695)Instructions burned: 281 (million)
% 9.43/1.84 % (2891702)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2248791120:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/212Mi)
% 9.43/1.84 % (2891694) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2891355-2891694"...
% 9.43/1.84 % (2891694)...printing done.
% 9.43/1.84 % (2891694)Refutation found. Thanks to Tanya!
% 9.43/1.84 % SZS status Theorem for theBenchmark
% 9.43/1.84 % SZS output start Proof for theBenchmark
% 9.43/1.84 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 9.43/1.84 thf(func_def_0, type, in: ($i > $i > $o)).
% 9.43/1.84 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 9.43/1.84 thf(func_def_3, type, setextAx: $o).
% 9.43/1.84 thf(func_def_5, type, emptysetAx: $o).
% 9.43/1.84 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 9.43/1.84 thf(func_def_7, type, setadjoinAx: $o).
% 9.43/1.84 thf(func_def_8, type, powerset: ($i > $i)).
% 9.43/1.84 thf(func_def_9, type, powersetAx: $o).
% 9.43/1.84 thf(func_def_10, type, setunion: ($i > $i)).
% 9.43/1.84 thf(func_def_11, type, setunionAx: $o).
% 9.43/1.84 thf(func_def_13, type, omega0Ax: $o).
% 9.43/1.84 thf(func_def_14, type, omegaSAx: $o).
% 9.43/1.84 thf(func_def_15, type, omegaIndAx: $o).
% 9.43/1.84 thf(func_def_16, type, replAx: $o).
% 9.43/1.84 thf(func_def_17, type, foundationAx: $o).
% 9.43/1.84 thf(func_def_18, type, wellorderingAx: $o).
% 9.43/1.84 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 9.43/1.84 thf(func_def_20, type, descrp: $o).
% 9.43/1.84 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 9.43/1.84 thf(func_def_22, type, dsetconstrI: $o).
% 9.43/1.84 thf(func_def_23, type, dsetconstrEL: $o).
% 9.43/1.84 thf(func_def_24, type, dsetconstrER: $o).
% 9.43/1.84 thf(func_def_25, type, exuE1: $o).
% 9.43/1.84 thf(func_def_26, type, prop2set: ($o > $i)).
% 9.43/1.84 thf(func_def_27, type, prop2setE: $o).
% 9.43/1.84 thf(func_def_28, type, emptysetE: $o).
% 9.43/1.84 thf(func_def_29, type, emptysetimpfalse: $o).
% 9.43/1.84 thf(func_def_30, type, notinemptyset: $o).
% 9.43/1.84 thf(func_def_31, type, exuE3e: $o).
% 9.43/1.84 thf(func_def_32, type, setext: $o).
% 9.43/1.84 thf(func_def_33, type, emptyI: $o).
% 9.43/1.84 thf(func_def_34, type, noeltsimpempty: $o).
% 9.43/1.84 thf(func_def_35, type, setbeta: $o).
% 9.43/1.84 thf(func_def_36, type, nonempty: ($i > $o)).
% 9.43/1.84 thf(func_def_37, type, nonemptyE1: $o).
% 9.43/1.84 thf(func_def_38, type, nonemptyI: $o).
% 9.43/1.84 thf(func_def_39, type, nonemptyI1: $o).
% 9.43/1.84 thf(func_def_40, type, setadjoinIL: $o).
% 9.43/1.84 thf(func_def_41, type, emptyinunitempty: $o).
% 9.43/1.84 thf(func_def_42, type, setadjoinIR: $o).
% 9.43/1.84 thf(func_def_43, type, setadjoinE: $o).
% 9.43/1.84 thf(func_def_44, type, setadjoinOr: $o).
% 9.43/1.84 thf(func_def_45, type, setoftrueEq: $o).
% 9.43/1.84 thf(func_def_46, type, powersetI: $o).
% 9.43/1.84 thf(func_def_47, type, emptyinPowerset: $o).
% 9.43/1.84 thf(func_def_48, type, emptyInPowerset: $o).
% 9.43/1.84 thf(func_def_49, type, powersetE: $o).
% 9.43/1.84 thf(func_def_50, type, setunionI: $o).
% 9.43/1.84 thf(func_def_51, type, setunionE: $o).
% 9.43/1.84 thf(func_def_52, type, subPowSU: $o).
% 9.43/1.84 thf(func_def_53, type, exuE2: $o).
% 9.43/1.84 thf(func_def_54, type, nonemptyImpWitness: $o).
% 9.43/1.84 thf(func_def_55, type, uniqinunit: $o).
% 9.43/1.84 thf(func_def_56, type, notinsingleton: $o).
% 9.43/1.84 thf(func_def_57, type, eqinunit: $o).
% 9.43/1.84 thf(func_def_58, type, singletonsswitch: $o).
% 9.43/1.84 thf(func_def_59, type, upairsetE: $o).
% 9.43/1.84 thf(func_def_60, type, upairsetIL: $o).
% 9.43/1.84 thf(func_def_61, type, upairsetIR: $o).
% 9.43/1.84 thf(func_def_62, type, emptyE1: $o).
% 9.43/1.84 thf(func_def_63, type, vacuousDall: $o).
% 9.43/1.84 thf(func_def_64, type, quantDeMorgan1: $o).
% 9.43/1.84 thf(func_def_65, type, quantDeMorgan2: $o).
% 9.43/1.84 thf(func_def_66, type, quantDeMorgan3: $o).
% 9.43/1.84 thf(func_def_67, type, quantDeMorgan4: $o).
% 9.43/1.84 thf(func_def_68, type, prop2setI: $o).
% 9.43/1.84 thf(func_def_69, type, set2prop: ($i > $o)).
% 9.43/1.84 thf(func_def_70, type, prop2set2propI: $o).
% 9.43/1.84 thf(func_def_71, type, notdexE: $o).
% 9.43/1.84 thf(func_def_72, type, notdallE: $o).
% 9.43/1.84 thf(func_def_73, type, exuI1: $o).
% 9.43/1.84 thf(func_def_74, type, exuI3: $o).
% 9.43/1.84 thf(func_def_75, type, exuI2: $o).
% 9.43/1.84 thf(func_def_76, type, inCongP: $o).
% 9.43/1.84 thf(func_def_77, type, in__Cong: $o).
% 9.43/1.84 thf(func_def_78, type, exuE3u: $o).
% 9.43/1.84 thf(func_def_79, type, exu__Cong: $o).
% 9.43/1.84 thf(func_def_80, type, emptyset__Cong: $o).
% 9.43/1.84 thf(func_def_81, type, setadjoin__Cong: $o).
% 9.43/1.84 thf(func_def_82, type, powerset__Cong: $o).
% 9.43/1.84 thf(func_def_83, type, setunion__Cong: $o).
% 9.43/1.84 thf(func_def_84, type, omega__Cong: $o).
% 9.43/1.84 thf(func_def_85, type, exuEu: $o).
% 9.43/1.84 thf(func_def_86, type, descr__Cong: $o).
% 9.43/1.84 thf(func_def_87, type, dsetconstr__Cong: $o).
% 9.43/1.84 thf(func_def_88, type, subset: ($i > $i > $o)).
% 9.43/1.84 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 9.43/1.84 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 9.43/1.84 thf(func_def_91, type, subsetI1: $o).
% 9.43/1.84 thf(func_def_92, type, eqimpsubset2: $o).
% 9.43/1.84 thf(func_def_93, type, eqimpsubset1: $o).
% 9.43/1.84 thf(func_def_94, type, subsetI2: $o).
% 9.43/1.84 thf(func_def_95, type, emptysetsubset: $o).
% 9.43/1.84 thf(func_def_96, type, subsetE: $o).
% 9.43/1.84 thf(func_def_97, type, subsetE2: $o).
% 9.43/1.84 thf(func_def_98, type, notsubsetI: $o).
% 9.43/1.84 thf(func_def_99, type, notequalI1: $o).
% 9.43/1.84 thf(func_def_100, type, notequalI2: $o).
% 9.43/1.84 thf(func_def_101, type, subsetRefl: $o).
% 9.43/1.84 thf(func_def_102, type, subsetTrans: $o).
% 9.43/1.84 thf(func_def_103, type, setadjoinSub: $o).
% 9.43/1.84 thf(func_def_104, type, setadjoinSub2: $o).
% 9.43/1.84 thf(func_def_105, type, subset2powerset: $o).
% 9.43/1.84 thf(func_def_106, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 9.43/1.84 thf(func_def_107, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 9.43/1.84 thf(func_def_108, type, db0: !>[X0: $tType]:(X0)).
% 9.43/1.84 thf(func_def_109, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 9.43/1.84 thf(func_def_110, type, vIMP: ($o > $o > $o)).
% 9.43/1.84 thf(func_def_111, type, db1: !>[X0: $tType]:(X0)).
% 9.43/1.84 thf(func_def_112, type, vNOT: ($o > $o)).
% 9.43/1.84 thf(func_def_113, type, db2: !>[X0: $tType]:(X0)).
% 9.43/1.84 thf(func_def_114, type, vIFF: ($o > $o > $o)).
% 9.43/1.84 thf(func_def_115, type, db3: !>[X0: $tType]:(X0)).
% 9.43/1.84 thf(func_def_116, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 9.43/1.84 thf(func_def_117, type, vAND: ($o > $o > $o)).
% 9.43/1.84 thf(func_def_118, type, vOR: ($o > $o > $o)).
% 9.43/1.84 thf(func_def_119, type, db4: !>[X0: $tType]:(X0)).
% 9.43/1.84 thf(func_def_122, type, sF0: $o).
% 9.43/1.84 thf(func_def_123, type, sF1: $o).
% 9.43/1.84 thf(func_def_124, type, sF2: $o).
% 9.43/1.84 thf(func_def_125, type, sF3: $o).
% 9.43/1.84 thf(func_def_126, type, sF4: $o).
% 9.43/1.84 thf(func_def_127, type, sF5: $o).
% 9.43/1.84 thf(func_def_128, type, sF6: $o).
% 9.43/1.84 thf(func_def_129, type, sF7: $o).
% 9.43/1.84 thf(func_def_130, type, sF8: $o).
% 9.43/1.84 thf(func_def_131, type, sF9: $o).
% 9.43/1.84 thf(func_def_132, type, sF10: $o).
% 9.43/1.84 thf(func_def_133, type, sF11: $o).
% 9.43/1.84 thf(func_def_134, type, sF12: $o).
% 9.43/1.84 thf(func_def_135, type, sF13: $o).
% 9.43/1.84 thf(func_def_136, type, sF14: $o).
% 9.43/1.84 thf(func_def_137, type, sF15: $o).
% 9.43/1.84 thf(func_def_138, type, sF16: $o).
% 9.43/1.84 thf(func_def_139, type, sF17: $o).
% 9.43/1.84 thf(func_def_140, type, sF18: $o).
% 9.43/1.84 thf(func_def_141, type, sF19: $o).
% 9.43/1.84 thf(func_def_142, type, sF20: $o).
% 9.43/1.84 thf(func_def_143, type, sF21: $o).
% 9.43/1.84 thf(func_def_144, type, sF22: $o).
% 9.43/1.84 thf(func_def_145, type, sF23: $o).
% 9.43/1.84 thf(func_def_146, type, sF24: $o).
% 9.43/1.84 thf(func_def_147, type, sF25: $o).
% 9.43/1.84 thf(func_def_148, type, sF26: $o).
% 9.43/1.84 thf(func_def_149, type, sF27: $o).
% 9.43/1.84 thf(func_def_150, type, sF28: $o).
% 9.43/1.84 thf(func_def_151, type, sF29: $o).
% 9.43/1.84 thf(func_def_152, type, sF30: $o).
% 9.43/1.84 thf(func_def_153, type, sF31: $o).
% 9.43/1.84 thf(func_def_154, type, sF32: $o).
% 9.43/1.84 thf(func_def_155, type, sF33: $o).
% 9.43/1.84 thf(func_def_156, type, sF34: $o).
% 9.43/1.84 thf(func_def_157, type, sF35: $o).
% 9.43/1.84 thf(func_def_158, type, sF36: $o).
% 9.43/1.84 thf(func_def_159, type, sF37: $o).
% 9.43/1.84 thf(func_def_160, type, sF38: $o).
% 9.43/1.84 thf(func_def_161, type, sF39: $o).
% 9.43/1.84 thf(func_def_162, type, sF40: $o).
% 9.43/1.84 thf(func_def_163, type, sF41: $o).
% 9.43/1.84 thf(func_def_164, type, sF42: $o).
% 9.43/1.84 thf(func_def_165, type, sF43: $o).
% 9.43/1.84 thf(func_def_166, type, sF44: $o).
% 9.43/1.84 thf(func_def_167, type, sF45: $o).
% 9.43/1.84 thf(func_def_168, type, sF46: $o).
% 9.43/1.84 thf(func_def_169, type, sF47: $o).
% 9.43/1.84 thf(func_def_170, type, sF48: $o).
% 9.43/1.84 thf(func_def_171, type, sF49: $o).
% 9.43/1.84 thf(func_def_172, type, sF50: $o).
% 9.43/1.84 thf(func_def_173, type, sF51: $o).
% 9.43/1.84 thf(func_def_174, type, sF52: $o).
% 9.43/1.84 thf(func_def_175, type, sF53: $o).
% 9.43/1.84 thf(func_def_176, type, sF54: $o).
% 9.43/1.84 thf(func_def_177, type, sF55: $o).
% 9.43/1.84 thf(func_def_178, type, sF56: $o).
% 9.43/1.84 thf(func_def_179, type, sF57: $o).
% 9.43/1.84 thf(func_def_180, type, sF58: $o).
% 9.43/1.84 thf(func_def_181, type, sF59: $o).
% 9.43/1.84 thf(func_def_182, type, sF60: $o).
% 9.43/1.84 thf(func_def_183, type, sF61: $o).
% 9.43/1.84 thf(func_def_184, type, sF62: $o).
% 9.43/1.84 thf(func_def_185, type, sF63: $o).
% 9.43/1.84 thf(func_def_186, type, sF64: $o).
% 9.43/1.84 thf(func_def_187, type, sF65: $o).
% 9.43/1.84 thf(func_def_188, type, sF66: $o).
% 9.43/1.84 thf(func_def_189, type, sF67: $o).
% 9.43/1.84 thf(func_def_190, type, sF68: $o).
% 9.43/1.84 thf(func_def_191, type, sF69: $o).
% 9.43/1.84 thf(func_def_192, type, sF70: $o).
% 9.43/1.84 thf(func_def_193, type, sF71: $o).
% 9.43/1.84 thf(func_def_194, type, sF72: $o).
% 9.43/1.84 thf(func_def_195, type, sF73: $o).
% 9.43/1.84 thf(func_def_196, type, sF74: $o).
% 9.43/1.84 thf(func_def_197, type, sF75: $o).
% 9.43/1.84 thf(func_def_198, type, sF76: $o).
% 9.43/1.84 thf(func_def_199, type, sF77: $o).
% 9.43/1.84 thf(func_def_200, type, sF78: $o).
% 9.43/1.84 thf(func_def_201, type, sF79: $o).
% 9.43/1.84 thf(func_def_202, type, sF80: $o).
% 9.43/1.84 thf(func_def_203, type, sF81: $o).
% 9.43/1.84 thf(func_def_204, type, sF82: $o).
% 9.43/1.84 thf(func_def_205, type, sF83: $o).
% 9.43/1.84 thf(func_def_206, type, sF84: $o).
% 9.43/1.84 thf(func_def_207, type, sF85: $o).
% 9.43/1.84 thf(func_def_208, type, sF86: $o).
% 9.43/1.84 thf(func_def_209, type, sF87: $o).
% 9.43/1.84 thf(func_def_210, type, sF88: $o).
% 9.43/1.84 thf(func_def_211, type, sF89: $o).
% 9.43/1.84 thf(func_def_212, type, sF90: $o).
% 9.43/1.84 thf(func_def_213, type, sF91: $o).
% 9.43/1.84 thf(func_def_214, type, db5: !>[X0: $tType]:(X0)).
% 9.43/1.84 thf(func_def_217, type, sK94: ($i > $i)).
% 9.43/1.84 thf(f1,axiom,(
% 9.43/1.84 ((^[X0 : ($i > $o)] : (? [X1 : $i] : ((X0 @ X1) & ! [X2 : $i] : ((X0 @ X2) => (X1 = X2))))) = exu)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu)).
% 9.43/1.84 thf(f3,axiom,(
% 9.43/1.84 (! [X0 : $i] : ~(in @ X0 @ emptyset) = emptysetAx)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx)).
% 9.43/1.84 thf(f5,axiom,(
% 9.43/1.84 (! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) <=> ! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0))) = powersetAx)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx)).
% 9.43/1.84 thf(f7,axiom,(
% 9.43/1.84 (omega0Ax = ((in @ emptyset @ omega)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax)).
% 9.43/1.84 thf(f8,axiom,(
% 9.43/1.84 (! [X0 : $i] : ((in @ X0 @ omega) => (in @ (setadjoin @ X0 @ X0) @ omega)) = omegaSAx)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaSAx)).
% 9.43/1.84 thf(f17,axiom,(
% 9.43/1.84 (! [X0 : ($i > $o)] : ((exu @ (^[X1 : $i] : ((X0 @ X1)))) => ? [X1 : $i] : ((X0 @ X1) & ! [X2 : $i] : ((X0 @ X2) => (X1 = X2)))) = exuE1)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE1)).
% 9.43/1.84 thf(f18,axiom,(
% 9.43/1.84 (! [X0 : $o,X1 : $i] : ((in @ X1 @ (prop2set @ X0)) => X0) = prop2setE)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setE)).
% 9.43/1.84 thf(f19,axiom,(
% 9.43/1.84 (! [X0 : $i] : ((in @ X0 @ emptyset) => ! [X1 : $o] : X1) = emptysetE)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE)).
% 9.43/1.84 thf(f20,axiom,(
% 9.43/1.84 (emptysetimpfalse = ! [X0 : $i] : ((in @ X0 @ emptyset) => $false))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse)).
% 9.43/1.84 thf(f21,axiom,(
% 9.43/1.84 (! [X0 : $i] : ~(in @ X0 @ emptyset) = notinemptyset)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset)).
% 9.43/1.84 thf(f23,axiom,(
% 9.43/1.84 (setext = ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (X0 = X1))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext)).
% 9.43/1.84 thf(f24,axiom,(
% 9.43/1.84 (emptyI = ! [X0 : $i] : (! [X1 : $i] : ~(in @ X1 @ X0) => (X0 = emptyset)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI)).
% 9.43/1.84 thf(f25,axiom,(
% 9.43/1.84 (noeltsimpempty = ! [X0 : $i] : (! [X1 : $i] : ~(in @ X1 @ X0) => (X0 = emptyset)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty)).
% 9.43/1.84 thf(f27,axiom,(
% 9.43/1.84 (nonempty = (^[X0 : $i] : ((X0 != emptyset))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty)).
% 9.43/1.84 thf(f28,axiom,(
% 9.43/1.84 (! [X0 : $i] : ((nonempty @ X0) => ? [X1 : $i] : (in @ X1 @ X0)) = nonemptyE1)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyE1)).
% 9.43/1.84 thf(f30,axiom,(
% 9.43/1.84 (nonemptyI1 = ! [X0 : $i] : (? [X1 : $i] : (in @ X1 @ X0) => (nonempty @ X0)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI1)).
% 9.43/1.84 thf(f31,axiom,(
% 9.43/1.84 (setadjoinIL = ! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL)).
% 9.43/1.84 thf(f32,axiom,(
% 9.43/1.84 (emptyinunitempty = ((in @ emptyset @ (setadjoin @ emptyset @ emptyset))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinunitempty)).
% 9.43/1.84 thf(f36,axiom,(
% 9.43/1.84 (! [X0 : $i] : (((dsetconstr @ X0 @ (^[X1 : $i] : ($true)))) = X0) = setoftrueEq)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setoftrueEq)).
% 9.43/1.84 thf(f38,axiom,(
% 9.43/1.84 (! [X0 : $i] : (in @ emptyset @ (powerset @ X0)) = emptyinPowerset)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset)).
% 9.43/1.84 thf(f39,axiom,(
% 9.43/1.84 (! [X0 : $i] : (in @ emptyset @ (powerset @ X0)) = emptyInPowerset)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyInPowerset)).
% 9.43/1.84 thf(f40,axiom,(
% 9.43/1.84 (! [X1 : $i,X2 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ((in @ X2 @ X1) => (in @ X2 @ X0))) = powersetE)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE)).
% 9.43/1.84 thf(f43,axiom,(
% 9.43/1.84 (! [X0 : $i,X1 : $i] : ((in @ X1 @ X0) => (in @ X1 @ (powerset @ (setunion @ X0)))) = subPowSU)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subPowSU)).
% 9.43/1.84 thf(f45,axiom,(
% 9.43/1.84 (! [X0 : $i] : ((nonempty @ X0) => ? [X1 : $i] : ($true & (in @ X1 @ X0))) = nonemptyImpWitness)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyImpWitness)).
% 9.43/1.84 thf(f48,axiom,(
% 9.43/1.84 (eqinunit = ! [X1 : $i,X0 : $i] : ((X0 = X1) => (in @ X0 @ (setadjoin @ X1 @ emptyset))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqinunit)).
% 9.43/1.84 thf(f51,axiom,(
% 9.43/1.84 (! [X1 : $i,X0 : $i] : (in @ X0 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) = upairsetIL)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIL)).
% 9.43/1.84 thf(f55,axiom,(
% 9.43/1.84 (! [X1 : ($i > $o),X0 : $i] : (~ ! [X2 : $i] : ((in @ X2 @ X0) => (X1 @ X2)) => ? [X2 : $i] : (~(X1 @ X2) & (in @ X2 @ X0))) = quantDeMorgan1)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantDeMorgan1)).
% 9.43/1.84 thf(f59,axiom,(
% 9.43/1.84 (prop2setI = ! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setI)).
% 9.43/1.84 thf(f62,axiom,(
% 9.43/1.84 (! [X1 : ($i > $o),X0 : $i] : (~ ! [X2 : $i] : ((in @ X2 @ X0) => (X1 @ X2)) => ? [X2 : $i] : (~(X1 @ X2) & (in @ X2 @ X0))) = notdallE)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',notdallE)).
% 9.43/1.84 thf(f63,axiom,(
% 9.43/1.84 (! [X0 : ($i > $o)] : (? [X1 : $i] : ((X0 @ X1) & ! [X2 : $i] : ((X0 @ X2) => (X1 = X2))) => (exu @ (^[X1 : $i] : ((X0 @ X1))))) = exuI1)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuI1)).
% 9.43/1.84 thf(f70,axiom,(
% 9.43/1.84 ((emptyset = emptyset) = emptyset__Cong)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyset__Cong)).
% 9.43/1.84 thf(f72,axiom,(
% 9.43/1.84 (powerset__Cong = ! [X0 : $i,X1 : $i] : ((X0 = X1) => (((powerset @ X0)) = ((powerset @ X1)))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powerset__Cong)).
% 9.43/1.84 thf(f73,axiom,(
% 9.43/1.84 (! [X1 : $i,X0 : $i] : ((X0 = X1) => (((setunion @ X0)) = ((setunion @ X1)))) = setunion__Cong)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunion__Cong)).
% 9.43/1.84 thf(f74,axiom,(
% 9.43/1.84 ((omega = omega) = omega__Cong)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega__Cong)).
% 9.43/1.84 thf(f78,axiom,(
% 9.43/1.84 (! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)) = subsetI1)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1)).
% 9.43/1.84 thf(f79,axiom,(
% 9.43/1.84 (eqimpsubset2 = ! [X0 : $i,X1 : $i] : ((X0 = X1) => (subset @ X1 @ X0)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2)).
% 9.43/1.84 thf(f80,axiom,(
% 9.43/1.84 (! [X1 : $i,X0 : $i] : ((X0 = X1) => (subset @ X0 @ X1)) = eqimpsubset1)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset1)).
% 9.43/1.84 thf(f81,axiom,(
% 9.43/1.84 (subsetI2 = ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2)).
% 9.43/1.84 thf(f82,axiom,(
% 9.43/1.84 (! [X0 : $i] : (subset @ emptyset @ X0) = emptysetsubset)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetsubset)).
% 9.43/1.84 thf(f88,axiom,(
% 9.43/1.84 (! [X0 : $i] : (subset @ X0 @ X0) = subsetRefl)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetRefl)).
% 9.43/1.84 thf(f90,axiom,(
% 9.43/1.84 (setadjoinSub = ! [X0 : $i,X1 : $i] : (subset @ X1 @ (setadjoin @ X0 @ X1)))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinSub)).
% 9.43/1.84 thf(f92,axiom,(
% 9.43/1.84 (! [X1 : $i,X0 : $i] : ((subset @ X0 @ X1) => (in @ X0 @ (powerset @ X1))) = subset2powerset)),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2powerset)).
% 9.43/1.84 thf(f93,conjecture,(
% 9.43/1.84 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 => ! [X1 : $i,X0 : $i] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 9.43/1.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub)).
% 9.43/1.84 thf(f94,negated_conjecture,(
% 9.43/1.84 ~(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 => ! [X1 : $i,X0 : $i] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 9.43/1.84 inference(negated_conjecture,[status(cth)],[f93])).
% 9.43/1.84 thf(f95,plain,(
% 9.43/1.84 (emptyset__Cong = ((emptyset = emptyset)))),
% 9.43/1.84 inference(fool_elimination,[],[f70])).
% 9.43/1.84 thf(f96,plain,(
% 9.43/1.84 (! [X0 : $i] : (subset @ emptyset @ X0) = emptysetsubset)),
% 9.43/1.84 inference(rectify,[],[f82])).
% 9.43/1.84 thf(f97,plain,(
% 9.43/1.84 (emptysetsubset = ((!! @ $i @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))))),
% 9.43/1.84 inference(fool_elimination,[],[f96])).
% 9.43/1.84 thf(f100,plain,(
% 9.43/1.84 (eqimpsubset2 = ! [X0 : $i,X1 : $i] : ((X0 = X1) => (subset @ X1 @ X0)))),
% 9.43/1.84 inference(rectify,[],[f79])).
% 9.43/1.84 thf(f101,plain,(
% 9.43/1.84 (eqimpsubset2 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (subset @ Y0 @ Y1))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f100])).
% 9.43/1.84 thf(f102,plain,(
% 9.43/1.84 (setext = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (! [X3 : $i] : ((in @ X3 @ X0) => (in @ X3 @ X1)) => (X0 = X1))))),
% 9.43/1.84 inference(rectify,[],[f23])).
% 9.43/1.84 thf(f103,plain,(
% 9.43/1.84 (setext = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0)))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f102])).
% 9.43/1.84 thf(f110,plain,(
% 9.43/1.84 (! [X0 : ($i > $o),X1 : $i] : (~ ! [X2 : $i] : ((in @ X2 @ X1) => (X0 @ X2)) => ? [X3 : $i] : (~(X0 @ X3) & (in @ X3 @ X1))) = quantDeMorgan1)),
% 9.43/1.84 inference(rectify,[],[f55])).
% 9.43/1.84 thf(f111,plain,(
% 9.43/1.84 (quantDeMorgan1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (Y1 @ Y2))))) => (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) & (~ (Y1 @ Y2))))))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f110])).
% 9.43/1.84 thf(f112,plain,(
% 9.43/1.84 (! [X0 : $i,X1 : $i] : ((in @ X0 @ (powerset @ X1)) <=> ! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1))) = powersetAx)),
% 9.43/1.84 inference(rectify,[],[f5])).
% 9.43/1.84 thf(f113,plain,(
% 9.43/1.84 (powersetAx = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) = (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f112])).
% 9.43/1.84 thf(f114,plain,(
% 9.43/1.84 (omega0Ax = ((in @ emptyset @ omega)))),
% 9.43/1.84 inference(fool_elimination,[],[f7])).
% 9.43/1.84 thf(f115,plain,(
% 9.43/1.84 (! [X0 : $i,X1 : $i] : ((in @ X1 @ X0) => (in @ X1 @ (powerset @ (setunion @ X0)))) = subPowSU)),
% 9.43/1.84 inference(rectify,[],[f43])).
% 9.43/1.84 thf(f116,plain,(
% 9.43/1.84 (subPowSU = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (powerset @ (setunion @ Y1))))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f115])).
% 9.43/1.84 thf(f119,plain,(
% 9.43/1.84 (omega__Cong = ((omega = omega)))),
% 9.43/1.84 inference(fool_elimination,[],[f74])).
% 9.43/1.84 thf(f120,plain,(
% 9.43/1.84 (setadjoinSub = ! [X0 : $i,X1 : $i] : (subset @ X1 @ (setadjoin @ X0 @ X1)))),
% 9.43/1.84 inference(rectify,[],[f90])).
% 9.43/1.84 thf(f121,plain,(
% 9.43/1.84 (setadjoinSub = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (subset @ Y0 @ (setadjoin @ Y1 @ Y0))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f120])).
% 9.43/1.84 thf(f124,plain,(
% 9.43/1.84 (! [X0 : $i,X1 : $i] : ((X0 = X1) => (subset @ X1 @ X0)) = eqimpsubset1)),
% 9.43/1.84 inference(rectify,[],[f80])).
% 9.43/1.84 thf(f125,plain,(
% 9.43/1.84 (eqimpsubset1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (subset @ Y0 @ Y1))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f124])).
% 9.43/1.84 thf(f134,plain,(
% 9.43/1.84 (! [X0 : $i] : (subset @ X0 @ X0) = subsetRefl)),
% 9.43/1.84 inference(rectify,[],[f88])).
% 9.43/1.84 thf(f135,plain,(
% 9.43/1.84 (subsetRefl = ((!! @ $i @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))))),
% 9.43/1.84 inference(fool_elimination,[],[f134])).
% 9.43/1.84 thf(f138,plain,(
% 9.43/1.84 (! [X0 : $i,X1 : $i] : ((subset @ X1 @ X0) => (in @ X1 @ (powerset @ X0))) = subset2powerset)),
% 9.43/1.84 inference(rectify,[],[f92])).
% 9.43/1.84 thf(f139,plain,(
% 9.43/1.84 (subset2powerset = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (in @ Y0 @ (powerset @ Y1)))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f138])).
% 9.43/1.84 thf(f140,plain,(
% 9.43/1.84 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)) = subsetI1)),
% 9.43/1.84 inference(rectify,[],[f78])).
% 9.43/1.84 thf(f141,plain,(
% 9.43/1.84 (subsetI1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => (subset @ Y0 @ Y1))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f140])).
% 9.43/1.84 thf(f150,plain,(
% 9.43/1.84 (emptysetimpfalse = ! [X0 : $i] : ((in @ X0 @ emptyset) => $false))),
% 9.43/1.84 inference(rectify,[],[f20])).
% 9.43/1.84 thf(f151,plain,(
% 9.43/1.84 (emptysetimpfalse = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ emptyset) => $false)))))),
% 9.43/1.84 inference(fool_elimination,[],[f150])).
% 9.43/1.84 thf(f152,plain,(
% 9.43/1.84 (subsetI2 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)))),
% 9.43/1.84 inference(rectify,[],[f81])).
% 9.43/1.84 thf(f153,plain,(
% 9.43/1.84 (subsetI2 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => (subset @ Y0 @ Y1))))))))),
% 9.43/1.84 inference(fool_elimination,[],[f152])).
% 9.43/1.84 thf(f154,plain,(
% 9.43/1.84 ~(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 => ! [X0 : $i,X1 : $i] : ((subset @ X1 @ X0) => ((subset @ X0 @ X1) => (X0 = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 9.43/1.84 inference(rectify,[],[f94])).
% 9.43/1.84 thf(f155,plain,(
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% 9.43/1.84 inference(fool_elimination,[],[f154])).
% 9.43/1.84 thf(f158,plain,(
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% 9.43/1.84 inference(rectify,[],[f1])).
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% 9.43/1.84 inference(fool_elimination,[],[f158])).
% 9.43/1.84 thf(f162,plain,(
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% 9.43/1.84 inference(rectify,[],[f39])).
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% 9.43/1.84 inference(fool_elimination,[],[f162])).
% 9.43/1.84 thf(f164,plain,(
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% 9.43/1.84 inference(fool_elimination,[],[f164])).
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% 9.43/1.84 inference(rectify,[],[f51])).
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% 9.43/1.84 inference(fool_elimination,[],[f168])).
% 9.43/1.84 thf(f174,plain,(
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% 9.43/1.84 inference(rectify,[],[f38])).
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% 9.43/1.84 inference(rectify,[],[f31])).
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% 9.43/1.84 inference(fool_elimination,[],[f178])).
% 9.43/1.84 thf(f182,plain,(
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% 9.43/1.84 inference(fool_elimination,[],[f182])).
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% 9.43/1.84 inference(rectify,[],[f28])).
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% 9.43/1.84 inference(fool_elimination,[],[f188])).
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% 9.43/1.84 inference(rectify,[],[f30])).
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% 9.43/1.84 inference(fool_elimination,[],[f198])).
% 9.43/1.84 thf(f202,plain,(
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% 9.43/1.84 inference(rectify,[],[f8])).
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% 9.43/1.84 inference(fool_elimination,[],[f202])).
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% 9.43/1.84 inference(fool_elimination,[],[f72])).
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% 9.43/1.84 inference(rectify,[],[f3])).
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% 9.43/1.84 inference(fool_elimination,[],[f205])).
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% 9.43/1.84 inference(fool_elimination,[],[f32])).
% 9.43/1.84 thf(f208,plain,(
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% 9.43/1.84 inference(rectify,[],[f24])).
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% 9.43/1.84 inference(fool_elimination,[],[f208])).
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% 9.43/1.84 inference(rectify,[],[f19])).
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% 9.43/1.84 inference(fool_elimination,[],[f210])).
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% 9.43/1.84 inference(rectify,[],[f17])).
% 9.43/1.84 thf(f223,plain,(
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% 9.43/1.84 inference(fool_elimination,[],[f222])).
% 9.43/1.84 thf(f224,plain,(
% 9.43/1.84 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ (powerset @ X2)) => ((in @ X1 @ X0) => (in @ X1 @ X2))) = powersetE)),
% 9.43/1.84 inference(rectify,[],[f40])).
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% 9.43/1.84 inference(fool_elimination,[],[f224])).
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% 9.43/1.84 inference(rectify,[],[f25])).
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% 9.43/1.84 inference(fool_elimination,[],[f228])).
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% 9.43/1.84 inference(rectify,[],[f63])).
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% 9.43/1.84 inference(fool_elimination,[],[f230])).
% 9.43/1.84 thf(f232,plain,(
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% 9.43/1.84 inference(fool_elimination,[],[f232])).
% 9.43/1.84 thf(f244,plain,(
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% 9.43/1.84 inference(fool_elimination,[],[f246])).
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% 9.43/1.84 inference(rectify,[],[f62])).
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% 9.43/1.84 inference(fool_elimination,[],[f248])).
% 9.43/1.84 thf(f252,plain,(
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% 9.43/1.84 inference(rectify,[],[f21])).
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% 9.43/1.84 inference(fool_elimination,[],[f265])).
% 9.43/1.84 thf(f276,plain,(
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% 9.43/1.84 inference(cnf_transformation,[],[f225])).
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% 9.43/1.84 inference(cnf_transformation,[],[f229])).
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% 9.43/1.84 inference(cnf_transformation,[],[f153])).
% 9.43/1.84 thf(f297,plain,(
% 9.43/1.84 (exuI1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))) => (exu @ (^[Y1 : $i]: (Y0 @ Y1))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f231])).
% 9.43/1.84 thf(f299,plain,(
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% 9.43/1.84 inference(cnf_transformation,[],[f101])).
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% 9.43/1.84 (((~ (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 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => ((subset @ Y1 @ Y0) => (Y1 = Y0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 9.43/1.84 inference(cnf_transformation,[],[f155])).
% 9.43/1.84 thf(f309,plain,(
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% 9.43/1.84 inference(cnf_transformation,[],[f119])).
% 9.43/1.84 thf(f310,plain,(
% 9.43/1.84 (subsetRefl = ((!! @ $i @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))))),
% 9.43/1.84 inference(cnf_transformation,[],[f135])).
% 9.43/1.84 thf(f311,plain,(
% 9.43/1.84 (eqimpsubset1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (subset @ Y0 @ Y1))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f125])).
% 9.43/1.84 thf(f314,plain,(
% 9.43/1.84 (subset2powerset = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (in @ Y0 @ (powerset @ Y1)))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f139])).
% 9.43/1.84 thf(f315,plain,(
% 9.43/1.84 (setoftrueEq = ((!! @ $i @ (^[Y0 : $i]: ((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = Y0)))))),
% 9.43/1.84 inference(cnf_transformation,[],[f165])).
% 9.43/1.84 thf(f318,plain,(
% 9.43/1.84 (exuE1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((exu @ (^[Y1 : $i]: (Y0 @ Y1))) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f223])).
% 9.43/1.84 thf(f319,plain,(
% 9.43/1.84 (emptyInPowerset = ((!! @ $i @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f163])).
% 9.43/1.84 thf(f320,plain,(
% 9.43/1.84 (emptyinPowerset = ((!! @ $i @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f175])).
% 9.43/1.84 thf(f321,plain,(
% 9.43/1.84 (omega0Ax = ((in @ emptyset @ omega)))),
% 9.43/1.84 inference(cnf_transformation,[],[f114])).
% 9.43/1.84 thf(f322,plain,(
% 9.43/1.84 (setadjoinSub = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (subset @ Y0 @ (setadjoin @ Y1 @ Y0))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f121])).
% 9.43/1.84 thf(f323,plain,(
% 9.43/1.84 (powersetAx = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) = (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f113])).
% 9.43/1.84 thf(f325,plain,(
% 9.43/1.84 (setadjoinIL = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f179])).
% 9.43/1.84 thf(f329,plain,(
% 9.43/1.84 (prop2setI = ((!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0)))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f245])).
% 9.43/1.84 thf(f334,plain,(
% 9.43/1.84 (nonemptyI1 = ((!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))) => (nonempty @ Y0))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f199])).
% 9.43/1.84 thf(f336,plain,(
% 9.43/1.84 (notdallE = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (Y1 @ Y2))))) => (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) & (~ (Y1 @ Y2))))))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f249])).
% 9.43/1.84 thf(f339,plain,(
% 9.43/1.84 (powerset__Cong = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((powerset @ Y1) = (powerset @ Y0)))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f204])).
% 9.43/1.84 thf(f341,plain,(
% 9.43/1.84 (notinemptyset = ((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f253])).
% 9.43/1.84 thf(f342,plain,(
% 9.43/1.84 (emptysetAx = ((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f206])).
% 9.43/1.84 thf(f343,plain,(
% 9.43/1.84 (subPowSU = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (powerset @ (setunion @ Y1))))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f116])).
% 9.43/1.84 thf(f347,plain,(
% 9.43/1.84 (setext = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0)))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f103])).
% 9.43/1.84 thf(f351,plain,(
% 9.43/1.84 (emptyI = ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: (~ (in @ Y1 @ Y0)))) => (emptyset = Y0))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f209])).
% 9.43/1.84 thf(f354,plain,(
% 9.43/1.84 (setunion__Cong = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((setunion @ Y1) = (setunion @ Y0)))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f266])).
% 9.43/1.84 thf(f355,plain,(
% 9.43/1.84 (nonempty = (^[Y0 : $i]: (~ (emptyset = Y0))))),
% 9.43/1.84 inference(cnf_transformation,[],[f262])).
% 9.43/1.84 thf(f361,plain,(
% 9.43/1.84 (emptyset__Cong = ((emptyset = emptyset)))),
% 9.43/1.84 inference(cnf_transformation,[],[f95])).
% 9.43/1.84 thf(f365,plain,(
% 9.43/1.84 (omegaSAx = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ omega))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f203])).
% 9.43/1.84 thf(f366,plain,(
% 9.43/1.84 (nonemptyE1 = ((!! @ $i @ (^[Y0 : $i]: ((nonempty @ Y0) => (?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))),
% 9.43/1.84 inference(cnf_transformation,[],[f189])).
% 9.43/1.84 thf(f369,definition,(
% 9.43/1.84 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 9.43/1.84 introduced(theory,[fool_exhaustiveness_axiom])).
% 9.43/1.84 thf(f374,plain,(
% 9.43/1.84 (nonemptyImpWitness = ((!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (~ (emptyset = Y1))) @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & $true))))))))),
% 9.43/1.84 inference(definition_unfolding,[],[f295,f355])).
% 9.43/1.84 thf(f375,plain,(
% 9.43/1.84 (exuI1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))) => ((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 = Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i]: (Y0 @ Y1))))))))),
% 9.43/1.84 inference(definition_unfolding,[],[f297,f294])).
% 9.43/1.84 thf(f378,plain,(
% 9.43/1.84 (exuE1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((^[Y1 : $i > $o]: (?? @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 = Y3)))) & (Y1 @ Y2))))) @ (^[Y1 : $i]: (Y0 @ Y1))) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))))))))),
% 9.43/1.84 inference(definition_unfolding,[],[f318,f294])).
% 9.43/1.84 thf(f381,plain,(
% 9.43/1.84 (nonemptyI1 = ((!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))) => ((^[Y1 : $i]: (~ (emptyset = Y1))) @ Y0))))))),
% 9.43/1.84 inference(definition_unfolding,[],[f334,f355])).
% 9.43/1.84 thf(f385,plain,(
% 9.43/1.84 (nonemptyE1 = ((!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (~ (emptyset = Y1))) @ Y0) => (?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))),
% 9.43/1.84 inference(definition_unfolding,[],[f366,f355])).
% 9.43/1.84 thf(f386,definition,(
% 9.43/1.84 (sF0 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => ((subset @ Y1 @ Y0) => (Y1 = Y0)))))))))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 9.43/1.84 thf(f387,plain,(
% 9.43/1.84 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => ((subset @ Y1 @ Y0) => (Y1 = Y0)))))))) = sF0)),
% 9.43/1.84 inference(reorient_equations,[],[f386])).
% 9.43/1.84 thf(f388,definition,(
% 9.43/1.84 (sF1 = ((subset2powerset => sF0)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 9.43/1.84 thf(f389,definition,(
% 9.43/1.84 (sF2 = ((setadjoinSub2 => sF1)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 9.43/1.84 thf(f390,plain,(
% 9.43/1.84 (((setadjoinSub2 => sF1)) = sF2)),
% 9.43/1.84 inference(reorient_equations,[],[f389])).
% 9.43/1.84 thf(f391,definition,(
% 9.43/1.84 (sF3 = ((setadjoinSub => sF2)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 9.43/1.84 thf(f392,plain,(
% 9.43/1.84 (((setadjoinSub => sF2)) = sF3)),
% 9.43/1.84 inference(reorient_equations,[],[f391])).
% 9.43/1.84 thf(f393,definition,(
% 9.43/1.84 (sF4 = ((subsetTrans => sF3)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 9.43/1.84 thf(f394,plain,(
% 9.43/1.84 (((subsetTrans => sF3)) = sF4)),
% 9.43/1.84 inference(reorient_equations,[],[f393])).
% 9.43/1.84 thf(f395,definition,(
% 9.43/1.84 (sF5 = ((subsetRefl => sF4)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 9.43/1.84 thf(f396,definition,(
% 9.43/1.84 (sF6 = ((notequalI2 => sF5)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 9.43/1.84 thf(f397,plain,(
% 9.43/1.84 (((notequalI2 => sF5)) = sF6)),
% 9.43/1.84 inference(reorient_equations,[],[f396])).
% 9.43/1.84 thf(f398,definition,(
% 9.43/1.84 (sF7 = ((notequalI1 => sF6)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 9.43/1.84 thf(f399,plain,(
% 9.43/1.84 (((notequalI1 => sF6)) = sF7)),
% 9.43/1.84 inference(reorient_equations,[],[f398])).
% 9.43/1.84 thf(f400,definition,(
% 9.43/1.84 (sF8 = ((notsubsetI => sF7)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 9.43/1.84 thf(f401,plain,(
% 9.43/1.84 (((notsubsetI => sF7)) = sF8)),
% 9.43/1.84 inference(reorient_equations,[],[f400])).
% 9.43/1.84 thf(f402,definition,(
% 9.43/1.84 (sF9 = ((subsetE2 => sF8)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
% 9.43/1.84 thf(f403,definition,(
% 9.43/1.84 (sF10 = ((subsetE => sF9)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
% 9.43/1.84 thf(f404,plain,(
% 9.43/1.84 (((subsetE => sF9)) = sF10)),
% 9.43/1.84 inference(reorient_equations,[],[f403])).
% 9.43/1.84 thf(f405,definition,(
% 9.43/1.84 (sF11 = ((emptysetsubset => sF10)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF11])],[function_definition])).
% 9.43/1.84 thf(f406,definition,(
% 9.43/1.84 (sF12 = ((subsetI2 => sF11)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF12])],[function_definition])).
% 9.43/1.84 thf(f407,plain,(
% 9.43/1.84 (((subsetI2 => sF11)) = sF12)),
% 9.43/1.84 inference(reorient_equations,[],[f406])).
% 9.43/1.84 thf(f408,definition,(
% 9.43/1.84 (sF13 = ((eqimpsubset1 => sF12)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF13])],[function_definition])).
% 9.43/1.84 thf(f409,plain,(
% 9.43/1.84 (((eqimpsubset1 => sF12)) = sF13)),
% 9.43/1.84 inference(reorient_equations,[],[f408])).
% 9.43/1.84 thf(f410,definition,(
% 9.43/1.84 (sF14 = ((eqimpsubset2 => sF13)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF14])],[function_definition])).
% 9.43/1.84 thf(f411,plain,(
% 9.43/1.84 (((eqimpsubset2 => sF13)) = sF14)),
% 9.43/1.84 inference(reorient_equations,[],[f410])).
% 9.43/1.84 thf(f412,definition,(
% 9.43/1.84 (sF15 = ((subsetI1 => sF14)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF15])],[function_definition])).
% 9.43/1.84 thf(f413,plain,(
% 9.43/1.84 (((subsetI1 => sF14)) = sF15)),
% 9.43/1.84 inference(reorient_equations,[],[f412])).
% 9.43/1.84 thf(f414,definition,(
% 9.43/1.84 (sF16 = ((dsetconstr__Cong => sF15)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF16])],[function_definition])).
% 9.43/1.84 thf(f415,plain,(
% 9.43/1.84 (((dsetconstr__Cong => sF15)) = sF16)),
% 9.43/1.84 inference(reorient_equations,[],[f414])).
% 9.43/1.84 thf(f416,definition,(
% 9.43/1.84 (sF17 = ((descr__Cong => sF16)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF17])],[function_definition])).
% 9.43/1.84 thf(f417,plain,(
% 9.43/1.84 (((descr__Cong => sF16)) = sF17)),
% 9.43/1.84 inference(reorient_equations,[],[f416])).
% 9.43/1.84 thf(f418,definition,(
% 9.43/1.84 (sF18 = ((exuEu => sF17)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF18])],[function_definition])).
% 9.43/1.84 thf(f419,definition,(
% 9.43/1.84 (sF19 = ((omega__Cong => sF18)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF19])],[function_definition])).
% 9.43/1.84 thf(f420,definition,(
% 9.43/1.84 (sF20 = ((setunion__Cong => sF19)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF20])],[function_definition])).
% 9.43/1.84 thf(f421,definition,(
% 9.43/1.84 (sF21 = ((powerset__Cong => sF20)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF21])],[function_definition])).
% 9.43/1.84 thf(f422,definition,(
% 9.43/1.84 (sF22 = ((setadjoin__Cong => sF21)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF22])],[function_definition])).
% 9.43/1.84 thf(f423,definition,(
% 9.43/1.84 (sF23 = ((emptyset__Cong => sF22)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF23])],[function_definition])).
% 9.43/1.84 thf(f424,plain,(
% 9.43/1.84 (((emptyset__Cong => sF22)) = sF23)),
% 9.43/1.84 inference(reorient_equations,[],[f423])).
% 9.43/1.84 thf(f425,definition,(
% 9.43/1.84 (sF24 = ((exu__Cong => sF23)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF24])],[function_definition])).
% 9.43/1.84 thf(f426,definition,(
% 9.43/1.84 (sF25 = ((exuE3u => sF24)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF25])],[function_definition])).
% 9.43/1.84 thf(f427,definition,(
% 9.43/1.84 (sF26 = ((in__Cong => sF25)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF26])],[function_definition])).
% 9.43/1.84 thf(f428,definition,(
% 9.43/1.84 (sF27 = ((inCongP => sF26)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF27])],[function_definition])).
% 9.43/1.84 thf(f429,plain,(
% 9.43/1.84 (((inCongP => sF26)) = sF27)),
% 9.43/1.84 inference(reorient_equations,[],[f428])).
% 9.43/1.84 thf(f430,definition,(
% 9.43/1.84 (sF28 = ((exuI2 => sF27)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF28])],[function_definition])).
% 9.43/1.84 thf(f431,definition,(
% 9.43/1.84 (sF29 = ((exuI3 => sF28)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF29])],[function_definition])).
% 9.43/1.84 thf(f432,definition,(
% 9.43/1.84 (sF30 = ((exuI1 => sF29)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF30])],[function_definition])).
% 9.43/1.84 thf(f433,plain,(
% 9.43/1.84 (((exuI1 => sF29)) = sF30)),
% 9.43/1.84 inference(reorient_equations,[],[f432])).
% 9.43/1.84 thf(f434,definition,(
% 9.43/1.84 (sF31 = ((notdallE => sF30)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF31])],[function_definition])).
% 9.43/1.84 thf(f435,definition,(
% 9.43/1.84 (sF32 = ((notdexE => sF31)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF32])],[function_definition])).
% 9.43/1.84 thf(f436,plain,(
% 9.43/1.84 (((notdexE => sF31)) = sF32)),
% 9.43/1.84 inference(reorient_equations,[],[f435])).
% 9.43/1.84 thf(f437,definition,(
% 9.43/1.84 (sF33 = ((prop2set2propI => sF32)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF33])],[function_definition])).
% 9.43/1.84 thf(f438,definition,(
% 9.43/1.84 (sF34 = ((prop2setI => sF33)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF34])],[function_definition])).
% 9.43/1.84 thf(f439,plain,(
% 9.43/1.84 (((prop2setI => sF33)) = sF34)),
% 9.43/1.84 inference(reorient_equations,[],[f438])).
% 9.43/1.84 thf(f440,definition,(
% 9.43/1.84 (sF35 = ((quantDeMorgan4 => sF34)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF35])],[function_definition])).
% 9.43/1.84 thf(f441,plain,(
% 9.43/1.84 (((quantDeMorgan4 => sF34)) = sF35)),
% 9.43/1.84 inference(reorient_equations,[],[f440])).
% 9.43/1.84 thf(f442,definition,(
% 9.43/1.84 (sF36 = ((quantDeMorgan3 => sF35)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF36])],[function_definition])).
% 9.43/1.84 thf(f443,definition,(
% 9.43/1.84 (sF37 = ((quantDeMorgan2 => sF36)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF37])],[function_definition])).
% 9.43/1.84 thf(f444,definition,(
% 9.43/1.84 (sF38 = ((quantDeMorgan1 => sF37)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF38])],[function_definition])).
% 9.43/1.84 thf(f445,plain,(
% 9.43/1.84 (((quantDeMorgan1 => sF37)) = sF38)),
% 9.43/1.84 inference(reorient_equations,[],[f444])).
% 9.43/1.84 thf(f446,definition,(
% 9.43/1.84 (sF39 = ((vacuousDall => sF38)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF39])],[function_definition])).
% 9.43/1.84 thf(f447,plain,(
% 9.43/1.84 (((vacuousDall => sF38)) = sF39)),
% 9.43/1.84 inference(reorient_equations,[],[f446])).
% 9.43/1.84 thf(f448,definition,(
% 9.43/1.84 (sF40 = ((emptyE1 => sF39)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF40])],[function_definition])).
% 9.43/1.84 thf(f449,definition,(
% 9.43/1.84 (sF41 = ((upairsetIR => sF40)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF41])],[function_definition])).
% 9.43/1.84 thf(f450,plain,(
% 9.43/1.84 (((upairsetIR => sF40)) = sF41)),
% 9.43/1.84 inference(reorient_equations,[],[f449])).
% 9.43/1.84 thf(f451,definition,(
% 9.43/1.84 (sF42 = ((upairsetIL => sF41)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF42])],[function_definition])).
% 9.43/1.84 thf(f452,definition,(
% 9.43/1.84 (sF43 = ((upairsetE => sF42)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF43])],[function_definition])).
% 9.43/1.84 thf(f453,definition,(
% 9.43/1.84 (sF44 = ((singletonsswitch => sF43)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF44])],[function_definition])).
% 9.43/1.84 thf(f454,definition,(
% 9.43/1.84 (sF45 = ((eqinunit => sF44)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF45])],[function_definition])).
% 9.43/1.84 thf(f455,plain,(
% 9.43/1.84 (((eqinunit => sF44)) = sF45)),
% 9.43/1.84 inference(reorient_equations,[],[f454])).
% 9.43/1.84 thf(f456,definition,(
% 9.43/1.84 (sF46 = ((notinsingleton => sF45)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF46])],[function_definition])).
% 9.43/1.84 thf(f457,definition,(
% 9.43/1.84 (sF47 = ((uniqinunit => sF46)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF47])],[function_definition])).
% 9.43/1.84 thf(f458,plain,(
% 9.43/1.84 (((uniqinunit => sF46)) = sF47)),
% 9.43/1.84 inference(reorient_equations,[],[f457])).
% 9.43/1.84 thf(f459,definition,(
% 9.43/1.84 (sF48 = ((nonemptyImpWitness => sF47)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF48])],[function_definition])).
% 9.43/1.84 thf(f460,definition,(
% 9.43/1.84 (sF49 = ((exuE2 => sF48)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF49])],[function_definition])).
% 9.43/1.84 thf(f461,plain,(
% 9.43/1.84 (((exuE2 => sF48)) = sF49)),
% 9.43/1.84 inference(reorient_equations,[],[f460])).
% 9.43/1.84 thf(f462,definition,(
% 9.43/1.84 (sF50 = ((subPowSU => sF49)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF50])],[function_definition])).
% 9.43/1.84 thf(f463,definition,(
% 9.43/1.84 (sF51 = ((setunionE => sF50)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF51])],[function_definition])).
% 9.43/1.84 thf(f464,definition,(
% 9.43/1.84 (sF52 = ((setunionI => sF51)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF52])],[function_definition])).
% 9.43/1.84 thf(f465,definition,(
% 9.43/1.84 (sF53 = ((powersetE => sF52)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF53])],[function_definition])).
% 9.43/1.84 thf(f466,definition,(
% 9.43/1.84 (sF54 = ((emptyInPowerset => sF53)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF54])],[function_definition])).
% 9.43/1.84 thf(f467,definition,(
% 9.43/1.84 (sF55 = ((emptyinPowerset => sF54)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF55])],[function_definition])).
% 9.43/1.84 thf(f468,plain,(
% 9.43/1.84 (((emptyinPowerset => sF54)) = sF55)),
% 9.43/1.84 inference(reorient_equations,[],[f467])).
% 9.43/1.84 thf(f469,definition,(
% 9.43/1.84 (sF56 = ((powersetI => sF55)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF56])],[function_definition])).
% 9.43/1.84 thf(f470,definition,(
% 9.43/1.84 (sF57 = ((setoftrueEq => sF56)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF57])],[function_definition])).
% 9.43/1.84 thf(f471,plain,(
% 9.43/1.84 (((setoftrueEq => sF56)) = sF57)),
% 9.43/1.84 inference(reorient_equations,[],[f470])).
% 9.43/1.84 thf(f472,definition,(
% 9.43/1.84 (sF58 = ((setadjoinOr => sF57)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF58])],[function_definition])).
% 9.43/1.84 thf(f473,definition,(
% 9.43/1.84 (sF59 = ((setadjoinE => sF58)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF59])],[function_definition])).
% 9.43/1.84 thf(f474,definition,(
% 9.43/1.84 (sF60 = ((setadjoinIR => sF59)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF60])],[function_definition])).
% 9.43/1.84 thf(f475,plain,(
% 9.43/1.84 (((setadjoinIR => sF59)) = sF60)),
% 9.43/1.84 inference(reorient_equations,[],[f474])).
% 9.43/1.84 thf(f476,definition,(
% 9.43/1.84 (sF61 = ((emptyinunitempty => sF60)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF61])],[function_definition])).
% 9.43/1.84 thf(f477,plain,(
% 9.43/1.84 (((emptyinunitempty => sF60)) = sF61)),
% 9.43/1.84 inference(reorient_equations,[],[f476])).
% 9.43/1.84 thf(f478,definition,(
% 9.43/1.84 (sF62 = ((setadjoinIL => sF61)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF62])],[function_definition])).
% 9.43/1.84 thf(f479,definition,(
% 9.43/1.84 (sF63 = ((nonemptyI1 => sF62)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF63])],[function_definition])).
% 9.43/1.84 thf(f480,plain,(
% 9.43/1.84 (((nonemptyI1 => sF62)) = sF63)),
% 9.43/1.84 inference(reorient_equations,[],[f479])).
% 9.43/1.84 thf(f481,definition,(
% 9.43/1.84 (sF64 = ((nonemptyI => sF63)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF64])],[function_definition])).
% 9.43/1.84 thf(f482,plain,(
% 9.43/1.84 (((nonemptyI => sF63)) = sF64)),
% 9.43/1.84 inference(reorient_equations,[],[f481])).
% 9.43/1.84 thf(f483,definition,(
% 9.43/1.84 (sF65 = ((nonemptyE1 => sF64)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF65])],[function_definition])).
% 9.43/1.84 thf(f484,definition,(
% 9.43/1.84 (sF66 = ((setbeta => sF65)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF66])],[function_definition])).
% 9.43/1.84 thf(f485,plain,(
% 9.43/1.84 (((setbeta => sF65)) = sF66)),
% 9.43/1.84 inference(reorient_equations,[],[f484])).
% 9.43/1.84 thf(f486,definition,(
% 9.43/1.84 (sF67 = ((noeltsimpempty => sF66)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF67])],[function_definition])).
% 9.43/1.84 thf(f487,plain,(
% 9.43/1.84 (((noeltsimpempty => sF66)) = sF67)),
% 9.43/1.84 inference(reorient_equations,[],[f486])).
% 9.43/1.84 thf(f488,definition,(
% 9.43/1.84 (sF68 = ((emptyI => sF67)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF68])],[function_definition])).
% 9.43/1.84 thf(f489,definition,(
% 9.43/1.84 (sF69 = ((setext => sF68)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF69])],[function_definition])).
% 9.43/1.84 thf(f490,definition,(
% 9.43/1.84 (sF70 = ((exuE3e => sF69)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF70])],[function_definition])).
% 9.43/1.84 thf(f491,definition,(
% 9.43/1.84 (sF71 = ((notinemptyset => sF70)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF71])],[function_definition])).
% 9.43/1.84 thf(f492,plain,(
% 9.43/1.84 (((notinemptyset => sF70)) = sF71)),
% 9.43/1.84 inference(reorient_equations,[],[f491])).
% 9.43/1.84 thf(f493,definition,(
% 9.43/1.84 (sF72 = ((emptysetimpfalse => sF71)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF72])],[function_definition])).
% 9.43/1.84 thf(f494,definition,(
% 9.43/1.84 (sF73 = ((emptysetE => sF72)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF73])],[function_definition])).
% 9.43/1.84 thf(f495,plain,(
% 9.43/1.84 (((emptysetE => sF72)) = sF73)),
% 9.43/1.84 inference(reorient_equations,[],[f494])).
% 9.43/1.84 thf(f496,definition,(
% 9.43/1.84 (sF74 = ((prop2setE => sF73)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF74])],[function_definition])).
% 9.43/1.84 thf(f497,definition,(
% 9.43/1.84 (sF75 = ((exuE1 => sF74)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF75])],[function_definition])).
% 9.43/1.84 thf(f498,definition,(
% 9.43/1.84 (sF76 = ((dsetconstrER => sF75)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF76])],[function_definition])).
% 9.43/1.84 thf(f499,definition,(
% 9.43/1.84 (sF77 = ((dsetconstrEL => sF76)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF77])],[function_definition])).
% 9.43/1.84 thf(f500,definition,(
% 9.43/1.84 (sF78 = ((dsetconstrI => sF77)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF78])],[function_definition])).
% 9.43/1.84 thf(f501,definition,(
% 9.43/1.84 (sF79 = ((descrp => sF78)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF79])],[function_definition])).
% 9.43/1.84 thf(f502,definition,(
% 9.43/1.84 (sF80 = ((wellorderingAx => sF79)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF80])],[function_definition])).
% 9.43/1.84 thf(f503,definition,(
% 9.43/1.84 (sF81 = ((foundationAx => sF80)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF81])],[function_definition])).
% 9.43/1.84 thf(f504,definition,(
% 9.43/1.84 (sF82 = ((replAx => sF81)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF82])],[function_definition])).
% 9.43/1.84 thf(f505,definition,(
% 9.43/1.84 (sF83 = ((omegaIndAx => sF82)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF83])],[function_definition])).
% 9.43/1.84 thf(f506,plain,(
% 9.43/1.84 (((omegaIndAx => sF82)) = sF83)),
% 9.43/1.84 inference(reorient_equations,[],[f505])).
% 9.43/1.84 thf(f507,definition,(
% 9.43/1.84 (sF84 = ((omegaSAx => sF83)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF84])],[function_definition])).
% 9.43/1.84 thf(f508,plain,(
% 9.43/1.84 (((omegaSAx => sF83)) = sF84)),
% 9.43/1.84 inference(reorient_equations,[],[f507])).
% 9.43/1.84 thf(f509,definition,(
% 9.43/1.84 (sF85 = ((omega0Ax => sF84)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF85])],[function_definition])).
% 9.43/1.84 thf(f510,plain,(
% 9.43/1.84 (((omega0Ax => sF84)) = sF85)),
% 9.43/1.84 inference(reorient_equations,[],[f509])).
% 9.43/1.84 thf(f511,definition,(
% 9.43/1.84 (sF86 = ((setunionAx => sF85)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF86])],[function_definition])).
% 9.43/1.84 thf(f512,plain,(
% 9.43/1.84 (((setunionAx => sF85)) = sF86)),
% 9.43/1.84 inference(reorient_equations,[],[f511])).
% 9.43/1.84 thf(f513,definition,(
% 9.43/1.84 (sF87 = ((powersetAx => sF86)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF87])],[function_definition])).
% 9.43/1.84 thf(f514,definition,(
% 9.43/1.84 (sF88 = ((setadjoinAx => sF87)))),
% 9.43/1.84 introduced(definition,[new_symbols(definition,[sF88])],[function_definition])).
% 9.43/1.84 thf(f515,plain,(
% 9.43/1.84 (((setadjoinAx => sF87)) = sF88)),
% 9.43/1.84 inference(reorient_equations,[],[f514])).
% 9.43/1.85 thf(f516,definition,(
% 9.43/1.85 (sF89 = ((emptysetAx => sF88)))),
% 9.43/1.85 introduced(definition,[new_symbols(definition,[sF89])],[function_definition])).
% 9.43/1.85 thf(f517,plain,(
% 9.43/1.85 (((emptysetAx => sF88)) = sF89)),
% 9.43/1.85 inference(reorient_equations,[],[f516])).
% 9.43/1.85 thf(f518,definition,(
% 9.43/1.85 (sF90 = ((setextAx => sF89)))),
% 9.43/1.85 introduced(definition,[new_symbols(definition,[sF90])],[function_definition])).
% 9.43/1.85 thf(f519,definition,(
% 9.43/1.85 (sF91 = ((~ sF90)))),
% 9.43/1.85 introduced(definition,[new_symbols(definition,[sF91])],[function_definition])).
% 9.43/1.85 thf(f520,plain,(
% 9.43/1.85 (sF91 = $true)),
% 9.43/1.85 inference(definition_folding,[],[f307,f519,f518,f517,f515,f513,f512,f510,f508,f506,f504,f503,f502,f501,f500,f499,f498,f497,f496,f495,f493,f492,f490,f489,f488,f487,f485,f483,f482,f480,f478,f477,f475,f473,f472,f471,f469,f468,f466,f465,f464,f463,f462,f461,f459,f458,f456,f455,f453,f452,f451,f450,f448,f447,f445,f443,f442,f441,f439,f437,f436,f434,f433,f431,f430,f429,f427,f426,f425,f424,f422,f421,f420,f419,f418,f417,f415,f413,f411,f409,f407,f405,f404,f402,f401,f399,f397,f395,f394,f392,f390,f388,f387])).
% 9.43/1.85 thf(f525,plain,(
% 9.43/1.85 (nonemptyE1 = ((!! @ $i @ (^[Y0 : $i]: ((~ (emptyset = Y0)) => (?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f385])).
% 9.43/1.85 thf(f526,plain,(
% 9.43/1.85 (emptysetimpfalse = ((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))))),
% 9.43/1.85 inference(boolean_simplification,[],[f300])).
% 9.43/1.85 thf(f527,plain,(
% 9.43/1.85 (omega__Cong = $true)),
% 9.43/1.85 inference(boolean_simplification,[],[f309])).
% 9.43/1.85 thf(f530,plain,(
% 9.43/1.85 (nonemptyImpWitness = ((!! @ $i @ (^[Y0 : $i]: ((~ (emptyset = Y0)) => (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) & $true))))))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f374])).
% 9.43/1.85 thf(f531,plain,(
% 9.43/1.85 (nonemptyImpWitness = ((!! @ $i @ (^[Y0 : $i]: ((~ (emptyset = Y0)) => (?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))),
% 9.43/1.85 inference(boolean_simplification,[],[f530])).
% 9.43/1.85 thf(f532,plain,(
% 9.43/1.85 (exuI1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))))))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f375])).
% 9.43/1.85 thf(f533,plain,(
% 9.43/1.85 (exuI1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))))),
% 9.43/1.85 inference(boolean_simplification,[],[f532])).
% 9.43/1.85 thf(f539,plain,(
% 9.43/1.85 (exuE1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))) => (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1)))))))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f378])).
% 9.43/1.85 thf(f540,plain,(
% 9.43/1.85 (exuE1 = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))))),
% 9.43/1.85 inference(boolean_simplification,[],[f539])).
% 9.43/1.85 thf(f544,plain,(
% 9.43/1.85 (emptyset__Cong = $true)),
% 9.43/1.85 inference(boolean_simplification,[],[f361])).
% 9.43/1.85 thf(f546,plain,(
% 9.43/1.85 (nonemptyI1 = ((!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (in @ Y1 @ Y0))) => (~ (emptyset = Y0)))))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f381])).
% 9.43/1.85 thf(f550,plain,(
% 9.43/1.85 (emptysetsubset = ((!! @ $i @ (subset @ emptyset))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f276])).
% 9.43/1.85 thf(f551,plain,(
% 9.43/1.85 ($true = ((~ sF90)))),
% 9.43/1.85 inference(backward_demodulation,[],[f519,f520])).
% 9.43/1.85 thf(f552,plain,(
% 9.43/1.85 ($true = ((~ (setextAx => sF89))))),
% 9.43/1.85 inference(forward_demodulation,[],[f551,f518])).
% 9.43/1.85 thf(f554,plain,(
% 9.43/1.85 (((~ (setextAx => $true))) = $true) | ($false = sF89)),
% 9.43/1.85 inference(superposition,[],[f552,f369])).
% 9.43/1.85 thf(f557,plain,(
% 9.43/1.85 ($false = sF89) | ($true = ((~ $true)))),
% 9.43/1.85 inference(boolean_simplification,[],[f554])).
% 9.43/1.85 thf(f558,plain,(
% 9.43/1.85 ($false = sF89) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f557])).
% 9.43/1.85 thf(f559,plain,(
% 9.43/1.85 ($false = sF89)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f558])).
% 9.43/1.85 thf(f564,plain,(
% 9.43/1.85 (((emptysetAx => sF88)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f517,f559])).
% 9.43/1.85 thf(f575,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset)))) => sF88)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f564,f342])).
% 9.43/1.85 thf(f585,plain,(
% 9.43/1.85 ($false = sF88)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f575])).
% 9.43/1.85 thf(f586,plain,(
% 9.43/1.85 (((!! @ $i @ (^[Y0 : $i]: (~ (in @ Y0 @ emptyset))))) = $true)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f575])).
% 9.43/1.85 thf(f595,plain,(
% 9.43/1.85 (notinemptyset = $true)),
% 9.43/1.85 inference(backward_demodulation,[],[f341,f586])).
% 9.43/1.85 thf(f597,plain,(
% 9.43/1.85 (emptysetimpfalse = $true)),
% 9.43/1.85 inference(backward_demodulation,[],[f526,f586])).
% 9.43/1.85 thf(f599,plain,(
% 9.43/1.85 (((setadjoinAx => sF87)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f515,f585])).
% 9.43/1.85 thf(f602,plain,(
% 9.43/1.85 ((($true => sF70)) = sF71)),
% 9.43/1.85 inference(backward_demodulation,[],[f492,f595])).
% 9.43/1.85 thf(f603,plain,(
% 9.43/1.85 (sF70 = sF71)),
% 9.43/1.85 inference(boolean_simplification,[],[f602])).
% 9.43/1.85 thf(f604,plain,(
% 9.43/1.85 ((($true => sF71)) = sF72)),
% 9.43/1.85 inference(backward_demodulation,[],[f493,f597])).
% 9.43/1.85 thf(f605,plain,(
% 9.43/1.85 (sF72 = sF71)),
% 9.43/1.85 inference(boolean_simplification,[],[f604])).
% 9.43/1.85 thf(f606,plain,(
% 9.43/1.85 (sF72 = sF70)),
% 9.43/1.85 inference(backward_demodulation,[],[f603,f605])).
% 9.43/1.85 thf(f607,plain,(
% 9.43/1.85 (sF72 = ((exuE3e => sF69)))),
% 9.43/1.85 inference(backward_demodulation,[],[f490,f606])).
% 9.43/1.85 thf(f622,plain,(
% 9.43/1.85 (sF87 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f599])).
% 9.43/1.85 thf(f632,plain,(
% 9.43/1.85 (((powersetAx => sF86)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f513,f622])).
% 9.43/1.85 thf(f643,plain,(
% 9.43/1.85 (sF69 = $false) | (sF72 = ((exuE3e => $true)))),
% 9.43/1.85 inference(superposition,[],[f607,f369])).
% 9.43/1.85 thf(f646,plain,(
% 9.43/1.85 (sF69 = $false) | (sF72 = $true)),
% 9.43/1.85 inference(boolean_simplification,[],[f643])).
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% 9.43/1.85 inference(backward_demodulation,[],[f323,f652])).
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% 9.43/1.85 inference(superposition,[],[f707,f369])).
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% 9.43/1.85 thf(f718,plain,(
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% 9.43/1.85 thf(f867,plain,(
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% 9.43/1.85 inference(forward_demodulation,[],[f883,f292])).
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% 9.43/1.85 inference(superposition,[],[f887,f369])).
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% 9.43/1.85 ($true = $false) | (sF59 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1152])).
% 9.43/1.85 thf(f1157,plain,(
% 9.43/1.85 (sF59 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1156])).
% 9.43/1.85 thf(f1160,plain,(
% 9.43/1.85 (((setadjoinE => sF58)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f473,f1157])).
% 9.43/1.85 thf(f1165,plain,(
% 9.43/1.85 (sF58 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1160])).
% 9.43/1.85 thf(f1175,plain,(
% 9.43/1.85 ($false = ((setadjoinOr => sF57)))),
% 9.43/1.85 inference(backward_demodulation,[],[f472,f1165])).
% 9.43/1.85 thf(f1184,plain,(
% 9.43/1.85 ($false = ((setadjoinOr => $true))) | (sF57 = $false)),
% 9.43/1.85 inference(superposition,[],[f1175,f369])).
% 9.43/1.85 thf(f1188,plain,(
% 9.43/1.85 (sF57 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1184])).
% 9.43/1.85 thf(f1189,plain,(
% 9.43/1.85 (sF57 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1188])).
% 9.43/1.85 thf(f1192,plain,(
% 9.43/1.85 (((setoftrueEq => sF56)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f471,f1189])).
% 9.43/1.85 thf(f1195,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: ((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = Y0))) => sF56)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1192,f315])).
% 9.43/1.85 thf(f1198,plain,(
% 9.43/1.85 ($false = (((!! @ $i @ (^[Y0 : $i]: ((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = Y0))) => (powersetI => sF55))))),
% 9.43/1.85 inference(forward_demodulation,[],[f1195,f469])).
% 9.43/1.85 thf(f1201,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: ((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = Y0))) => (powersetI => $true))) = $false) | ($false = sF55)),
% 9.43/1.85 inference(superposition,[],[f1198,f369])).
% 9.43/1.85 thf(f1210,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: ((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = Y0))) => $true)) = $false) | ($false = sF55)),
% 9.43/1.85 inference(boolean_simplification,[],[f1201])).
% 9.43/1.85 thf(f1211,plain,(
% 9.43/1.85 ($true = $false) | ($false = sF55)),
% 9.43/1.85 inference(boolean_simplification,[],[f1210])).
% 9.43/1.85 thf(f1212,plain,(
% 9.43/1.85 ($false = sF55)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1211])).
% 9.43/1.85 thf(f1223,plain,(
% 9.43/1.85 (((emptyinPowerset => sF54)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f468,f1212])).
% 9.43/1.85 thf(f1231,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0)))) => sF54)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1223,f320])).
% 9.43/1.85 thf(f1232,plain,(
% 9.43/1.85 (((emptyInPowerset => sF54)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1231,f319])).
% 9.43/1.85 thf(f1235,plain,(
% 9.43/1.85 (sF54 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1232])).
% 9.43/1.85 thf(f1236,plain,(
% 9.43/1.85 (emptyInPowerset = $true)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1232])).
% 9.43/1.85 thf(f1245,plain,(
% 9.43/1.85 (((emptyInPowerset => sF53)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f466,f1235])).
% 9.43/1.85 thf(f1248,plain,(
% 9.43/1.85 ((($true => sF53)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1245,f1236])).
% 9.43/1.85 thf(f1249,plain,(
% 9.43/1.85 (sF53 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1248])).
% 9.43/1.85 thf(f1253,plain,(
% 9.43/1.85 (((powersetE => sF52)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f465,f1249])).
% 9.43/1.85 thf(f1254,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => ((in @ Y1 @ Y2) => (in @ Y1 @ Y0))))))))) => sF52)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1253,f284])).
% 9.43/1.85 thf(f1311,plain,(
% 9.43/1.85 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) = (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))))))) @ X1)) = $true)) )),
% 9.43/1.85 inference(pi_proxy_clausification,[],[f665])).
% 9.43/1.85 thf(f1312,plain,(
% 9.43/1.85 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X1)) = (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))))))))) )),
% 9.43/1.85 inference(beta-eta_normalization,[],[f1311])).
% 9.43/1.85 thf(f1313,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ Y0 @ (powerset @ X1)) = (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))))) @ X2)))) )),
% 9.43/1.85 inference(pi_proxy_clausification,[],[f1312])).
% 9.43/1.85 thf(f1314,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (((((in @ X2 @ (powerset @ X1)) = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))))) = $true)) )),
% 9.43/1.85 inference(beta-eta_normalization,[],[f1313])).
% 9.43/1.85 thf(f1315,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ (powerset @ X1))) = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1))))))) )),
% 9.43/1.85 inference(iff_proxy_clausification,[],[f1314])).
% 9.43/1.85 thf(f1374,plain,(
% 9.43/1.85 (sF52 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1254])).
% 9.43/1.85 thf(f1384,plain,(
% 9.43/1.85 ($false = ((setunionI => sF51)))),
% 9.43/1.85 inference(backward_demodulation,[],[f464,f1374])).
% 9.43/1.85 thf(f1395,plain,(
% 9.43/1.85 (sF51 = $false) | (((setunionI => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f1384,f369])).
% 9.43/1.85 thf(f1398,plain,(
% 9.43/1.85 (sF51 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1395])).
% 9.43/1.85 thf(f1399,plain,(
% 9.43/1.85 (sF51 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1398])).
% 9.43/1.85 thf(f1403,plain,(
% 9.43/1.85 ($false = ((setunionE => sF50)))),
% 9.43/1.85 inference(backward_demodulation,[],[f463,f1399])).
% 9.43/1.85 thf(f1414,plain,(
% 9.43/1.85 (((setunionE => $true)) = $false) | (sF50 = $false)),
% 9.43/1.85 inference(superposition,[],[f1403,f369])).
% 9.43/1.85 thf(f1417,plain,(
% 9.43/1.85 ($true = $false) | (sF50 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1414])).
% 9.43/1.85 thf(f1418,plain,(
% 9.43/1.85 (sF50 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1417])).
% 9.43/1.85 thf(f1424,plain,(
% 9.43/1.85 (((subPowSU => sF49)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f462,f1418])).
% 9.43/1.85 thf(f1427,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (powerset @ (setunion @ Y1)))))))) => sF49)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1424,f343])).
% 9.43/1.85 thf(f1430,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (powerset @ (setunion @ Y1)))))))) => $true)) = $false) | ($false = sF49)),
% 9.43/1.85 inference(superposition,[],[f1427,f369])).
% 9.43/1.85 thf(f1435,plain,(
% 9.43/1.85 ($true = $false) | ($false = sF49)),
% 9.43/1.85 inference(boolean_simplification,[],[f1430])).
% 9.43/1.85 thf(f1436,plain,(
% 9.43/1.85 ($false = sF49)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1435])).
% 9.43/1.85 thf(f1438,plain,(
% 9.43/1.85 (((exuE2 => sF48)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f461,f1436])).
% 9.43/1.85 thf(f1445,plain,(
% 9.43/1.85 (sF48 = $false) | (((exuE2 => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f1438,f369])).
% 9.43/1.85 thf(f1450,plain,(
% 9.43/1.85 (sF48 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1445])).
% 9.43/1.85 thf(f1451,plain,(
% 9.43/1.85 (sF48 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1450])).
% 9.43/1.85 thf(f1461,plain,(
% 9.43/1.85 ($true = $false) | (sF45 = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f1078,f1451])).
% 9.43/1.85 thf(f1465,plain,(
% 9.43/1.85 (sF45 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1461])).
% 9.43/1.85 thf(f1467,plain,(
% 9.43/1.85 (((eqinunit => sF44)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f455,f1465])).
% 9.43/1.85 thf(f1478,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (in @ Y0 @ (setadjoin @ Y1 @ emptyset))))))) => sF44)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1467,f289])).
% 9.43/1.85 thf(f1507,plain,(
% 9.43/1.85 (sF44 = $false) | ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (in @ Y0 @ (setadjoin @ Y1 @ emptyset))))))) => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f1478,f369])).
% 9.43/1.85 thf(f1512,plain,(
% 9.43/1.85 (sF44 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1507])).
% 9.43/1.85 thf(f1513,plain,(
% 9.43/1.85 (sF44 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1512])).
% 9.43/1.85 thf(f1521,plain,(
% 9.43/1.85 (((singletonsswitch => sF43)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f453,f1513])).
% 9.43/1.85 thf(f1524,plain,(
% 9.43/1.85 (sF43 = $false) | ($false = ((singletonsswitch => $true)))),
% 9.43/1.85 inference(superposition,[],[f1521,f369])).
% 9.43/1.85 thf(f1527,plain,(
% 9.43/1.85 (sF43 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1524])).
% 9.43/1.85 thf(f1528,plain,(
% 9.43/1.85 (sF43 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1527])).
% 9.43/1.85 thf(f1534,plain,(
% 9.43/1.85 (((upairsetE => sF42)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f452,f1528])).
% 9.43/1.85 thf(f1537,plain,(
% 9.43/1.85 ($false = sF42)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1534])).
% 9.43/1.85 thf(f1547,plain,(
% 9.43/1.85 ($false = ((upairsetIL => sF41)))),
% 9.43/1.85 inference(backward_demodulation,[],[f451,f1537])).
% 9.43/1.85 thf(f1552,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset))))))) => sF41)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1547,f287])).
% 9.43/1.85 thf(f1557,plain,(
% 9.43/1.85 ($false = sF41)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1552])).
% 9.43/1.85 thf(f1567,plain,(
% 9.43/1.85 (((upairsetIR => sF40)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f450,f1557])).
% 9.43/1.85 thf(f1572,plain,(
% 9.43/1.85 (((upairsetIR => (emptyE1 => sF39))) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1567,f448])).
% 9.43/1.85 thf(f1579,plain,(
% 9.43/1.85 ($false = sF39) | (((upairsetIR => (emptyE1 => $true))) = $false)),
% 9.43/1.85 inference(superposition,[],[f1572,f369])).
% 9.43/1.85 thf(f1587,plain,(
% 9.43/1.85 ($false = sF39) | ($false = ((upairsetIR => $true)))),
% 9.43/1.85 inference(boolean_simplification,[],[f1579])).
% 9.43/1.85 thf(f1588,plain,(
% 9.43/1.85 ($false = sF39) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1587])).
% 9.43/1.85 thf(f1589,plain,(
% 9.43/1.85 ($false = sF39)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1588])).
% 9.43/1.85 thf(f1602,plain,(
% 9.43/1.85 ($false = ((vacuousDall => sF38)))),
% 9.43/1.85 inference(backward_demodulation,[],[f447,f1589])).
% 9.43/1.85 thf(f1617,plain,(
% 9.43/1.85 ($false = sF38)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1602])).
% 9.43/1.85 thf(f1629,plain,(
% 9.43/1.85 (((quantDeMorgan1 => sF37)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f445,f1617])).
% 9.43/1.85 thf(f1633,plain,(
% 9.43/1.85 (quantDeMorgan1 = $true)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1629])).
% 9.43/1.85 thf(f1634,plain,(
% 9.43/1.85 (((quantDeMorgan1 => $true)) = $false) | (sF37 = $false)),
% 9.43/1.85 inference(superposition,[],[f1629,f369])).
% 9.43/1.85 thf(f1637,plain,(
% 9.43/1.85 (sF37 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1634])).
% 9.43/1.85 thf(f1638,plain,(
% 9.43/1.85 (sF37 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1637])).
% 9.43/1.85 thf(f1642,plain,(
% 9.43/1.85 ($false = ((quantDeMorgan2 => sF36)))),
% 9.43/1.85 inference(backward_demodulation,[],[f443,f1638])).
% 9.43/1.85 thf(f1644,plain,(
% 9.43/1.85 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (Y1 @ Y2))))) => (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) & (~ (Y1 @ Y2))))))))))))),
% 9.43/1.85 inference(backward_demodulation,[],[f286,f1633])).
% 9.43/1.85 thf(f1649,plain,(
% 9.43/1.85 (notdallE = $true)),
% 9.43/1.85 inference(backward_demodulation,[],[f336,f1644])).
% 9.43/1.85 thf(f1650,plain,(
% 9.43/1.85 (sF31 = (($true => sF30)))),
% 9.43/1.85 inference(backward_demodulation,[],[f434,f1649])).
% 9.43/1.85 thf(f1651,plain,(
% 9.43/1.85 (sF31 = sF30)),
% 9.43/1.85 inference(boolean_simplification,[],[f1650])).
% 9.43/1.85 thf(f1652,plain,(
% 9.43/1.85 (((notdexE => sF30)) = sF32)),
% 9.43/1.85 inference(backward_demodulation,[],[f436,f1651])).
% 9.43/1.85 thf(f1659,plain,(
% 9.43/1.85 (sF36 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1642])).
% 9.43/1.85 thf(f1669,plain,(
% 9.43/1.85 (((quantDeMorgan3 => sF35)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f442,f1659])).
% 9.43/1.85 thf(f1676,plain,(
% 9.43/1.85 ($false = sF30) | (sF32 = ((notdexE => $true)))),
% 9.43/1.85 inference(superposition,[],[f1652,f369])).
% 9.43/1.85 thf(f1679,plain,(
% 9.43/1.85 ($true = sF32) | ($false = sF30)),
% 9.43/1.85 inference(boolean_simplification,[],[f1676])).
% 9.43/1.85 thf(f1686,plain,(
% 9.43/1.85 ($false = sF35) | (((quantDeMorgan3 => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f1669,f369])).
% 9.43/1.85 thf(f1691,plain,(
% 9.43/1.85 ($true = $false) | ($false = sF35)),
% 9.43/1.85 inference(boolean_simplification,[],[f1686])).
% 9.43/1.85 thf(f1692,plain,(
% 9.43/1.85 ($false = sF35)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1691])).
% 9.43/1.85 thf(f1700,plain,(
% 9.43/1.85 (((quantDeMorgan4 => sF34)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f441,f1692])).
% 9.43/1.85 thf(f1703,plain,(
% 9.43/1.85 (((quantDeMorgan4 => $true)) = $false) | ($false = sF34)),
% 9.43/1.85 inference(superposition,[],[f1700,f369])).
% 9.43/1.85 thf(f1708,plain,(
% 9.43/1.85 ($true = $false) | ($false = sF34)),
% 9.43/1.85 inference(boolean_simplification,[],[f1703])).
% 9.43/1.85 thf(f1709,plain,(
% 9.43/1.85 ($false = sF34)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1708])).
% 9.43/1.85 thf(f1715,plain,(
% 9.43/1.85 (((prop2setI => sF33)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f439,f1709])).
% 9.43/1.85 thf(f1716,plain,(
% 9.43/1.85 ((((!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))) => sF33)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1715,f329])).
% 9.43/1.85 thf(f1717,plain,(
% 9.43/1.85 (sF33 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1716])).
% 9.43/1.85 thf(f1727,plain,(
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% 9.43/1.85 inference(backward_demodulation,[],[f437,f1717])).
% 9.43/1.85 thf(f1734,plain,(
% 9.43/1.85 (sF32 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1727])).
% 9.43/1.85 thf(f1745,plain,(
% 9.43/1.85 ($false = sF30) | ($true = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f1679,f1734])).
% 9.43/1.85 thf(f1747,plain,(
% 9.43/1.85 ($false = sF30)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1745])).
% 9.43/1.85 thf(f1754,plain,(
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% 9.43/1.85 inference(backward_demodulation,[],[f904,f1747])).
% 9.43/1.85 thf(f1757,plain,(
% 9.43/1.85 (sF28 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1754])).
% 9.43/1.85 thf(f1763,plain,(
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% 9.43/1.85 inference(backward_demodulation,[],[f430,f1757])).
% 9.43/1.85 thf(f1785,plain,(
% 9.43/1.85 (sF27 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1763])).
% 9.43/1.85 thf(f1795,plain,(
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% 9.43/1.85 inference(backward_demodulation,[],[f429,f1785])).
% 9.43/1.85 thf(f1800,plain,(
% 9.43/1.85 ($false = ((inCongP => (in__Cong => sF25))))),
% 9.43/1.85 inference(forward_demodulation,[],[f1795,f427])).
% 9.43/1.85 thf(f1805,plain,(
% 9.43/1.85 (sF25 = $false) | ($false = ((inCongP => (in__Cong => $true))))),
% 9.43/1.85 inference(superposition,[],[f1800,f369])).
% 9.43/1.85 thf(f1810,plain,(
% 9.43/1.85 (((inCongP => $true)) = $false) | (sF25 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1805])).
% 9.43/1.85 thf(f1811,plain,(
% 9.43/1.85 ($true = $false) | (sF25 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1810])).
% 9.43/1.85 thf(f1812,plain,(
% 9.43/1.85 (sF25 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1811])).
% 9.43/1.85 thf(f1820,plain,(
% 9.43/1.85 (((exuE3u => sF24)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f426,f1812])).
% 9.43/1.85 thf(f1847,plain,(
% 9.43/1.85 (((exuE3u => $true)) = $false) | (sF24 = $false)),
% 9.43/1.85 inference(superposition,[],[f1820,f369])).
% 9.43/1.85 thf(f1852,plain,(
% 9.43/1.85 (sF24 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1847])).
% 9.43/1.85 thf(f1853,plain,(
% 9.43/1.85 (sF24 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f1852])).
% 9.43/1.85 thf(f1861,plain,(
% 9.43/1.85 (((exu__Cong => sF23)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f425,f1853])).
% 9.43/1.85 thf(f1862,plain,(
% 9.43/1.85 (sF23 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1861])).
% 9.43/1.85 thf(f1876,plain,(
% 9.43/1.85 (((emptyset__Cong => sF22)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f424,f1862])).
% 9.43/1.85 thf(f1879,plain,(
% 9.43/1.85 ((($true => sF22)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1876,f544])).
% 9.43/1.85 thf(f1880,plain,(
% 9.43/1.85 (sF22 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1879])).
% 9.43/1.85 thf(f1881,plain,(
% 9.43/1.85 ($false = ((setadjoin__Cong => sF21)))),
% 9.43/1.85 inference(backward_demodulation,[],[f422,f1880])).
% 9.43/1.85 thf(f1886,plain,(
% 9.43/1.85 (sF21 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1881])).
% 9.43/1.85 thf(f1898,plain,(
% 9.43/1.85 ($false = ((powerset__Cong => sF20)))),
% 9.43/1.85 inference(backward_demodulation,[],[f421,f1886])).
% 9.43/1.85 thf(f1901,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((powerset @ Y1) = (powerset @ Y0))))))) => sF20)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1898,f339])).
% 9.43/1.85 thf(f1950,plain,(
% 9.43/1.85 (sF20 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1901])).
% 9.43/1.85 thf(f1960,plain,(
% 9.43/1.85 ($false = ((setunion__Cong => sF19)))),
% 9.43/1.85 inference(backward_demodulation,[],[f420,f1950])).
% 9.43/1.85 thf(f1967,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((setunion @ Y1) = (setunion @ Y0))))))) => sF19)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f1960,f354])).
% 9.43/1.85 thf(f1970,plain,(
% 9.43/1.85 (sF19 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1967])).
% 9.43/1.85 thf(f1980,plain,(
% 9.43/1.85 ($false = ((omega__Cong => sF18)))),
% 9.43/1.85 inference(backward_demodulation,[],[f419,f1970])).
% 9.43/1.85 thf(f1985,plain,(
% 9.43/1.85 ($false = (($true => sF18)))),
% 9.43/1.85 inference(forward_demodulation,[],[f1980,f527])).
% 9.43/1.85 thf(f1986,plain,(
% 9.43/1.85 (sF18 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f1985])).
% 9.43/1.85 thf(f1991,plain,(
% 9.43/1.85 (((exuEu => sF17)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f418,f1986])).
% 9.43/1.85 thf(f1994,plain,(
% 9.43/1.85 ($false = sF17)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f1991])).
% 9.43/1.85 thf(f2004,plain,(
% 9.43/1.85 ($false = ((descr__Cong => sF16)))),
% 9.43/1.85 inference(backward_demodulation,[],[f417,f1994])).
% 9.43/1.85 thf(f2013,plain,(
% 9.43/1.85 ($false = sF16)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2004])).
% 9.43/1.85 thf(f2025,plain,(
% 9.43/1.85 (((dsetconstr__Cong => sF15)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f415,f2013])).
% 9.43/1.85 thf(f2028,plain,(
% 9.43/1.85 (sF15 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2025])).
% 9.43/1.85 thf(f2038,plain,(
% 9.43/1.85 (((subsetI1 => sF14)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f413,f2028])).
% 9.43/1.85 thf(f2045,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => (subset @ Y0 @ Y1)))))) => sF14)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f2038,f279])).
% 9.43/1.85 thf(f2046,plain,(
% 9.43/1.85 (((subsetI2 => sF14)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f2045,f296])).
% 9.43/1.85 thf(f2048,plain,(
% 9.43/1.85 (subsetI2 = $true)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2046])).
% 9.43/1.85 thf(f2049,plain,(
% 9.43/1.85 (((subsetI2 => $true)) = $false) | ($false = sF14)),
% 9.43/1.85 inference(superposition,[],[f2046,f369])).
% 9.43/1.85 thf(f2052,plain,(
% 9.43/1.85 ($true = $false) | ($false = sF14)),
% 9.43/1.85 inference(boolean_simplification,[],[f2049])).
% 9.43/1.85 thf(f2053,plain,(
% 9.43/1.85 ($false = sF14)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2052])).
% 9.43/1.85 thf(f2057,plain,(
% 9.43/1.85 ((($true => sF11)) = sF12)),
% 9.43/1.85 inference(backward_demodulation,[],[f407,f2048])).
% 9.43/1.85 thf(f2060,plain,(
% 9.43/1.85 (sF11 = sF12)),
% 9.43/1.85 inference(boolean_simplification,[],[f2057])).
% 9.43/1.85 thf(f2061,plain,(
% 9.43/1.85 (((eqimpsubset2 => sF13)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f411,f2053])).
% 9.43/1.85 thf(f2065,plain,(
% 9.43/1.85 (sF12 = ((emptysetsubset => sF10)))),
% 9.43/1.85 inference(backward_demodulation,[],[f405,f2060])).
% 9.43/1.85 thf(f2066,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (subset @ Y0 @ Y1)))))) => sF13)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f2061,f299])).
% 9.43/1.85 thf(f2067,plain,(
% 9.43/1.85 ((((!! @ $i @ (subset @ emptyset)) => sF10)) = sF12)),
% 9.43/1.85 inference(forward_demodulation,[],[f2065,f550])).
% 9.43/1.85 thf(f2076,plain,(
% 9.43/1.85 ((((!! @ $i @ (subset @ emptyset)) => $true)) = sF12) | (sF10 = $false)),
% 9.43/1.85 inference(superposition,[],[f2067,f369])).
% 9.43/1.85 thf(f2079,plain,(
% 9.43/1.85 ($true = sF12) | (sF10 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2076])).
% 9.43/1.85 thf(f2085,plain,(
% 9.43/1.85 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (subset @ Y0 @ Y1))))))) = $true)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2066])).
% 9.43/1.85 thf(f2086,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (subset @ Y0 @ Y1)))))) => $true)) = $false) | (sF13 = $false)),
% 9.43/1.85 inference(superposition,[],[f2066,f369])).
% 9.43/1.85 thf(f2089,plain,(
% 9.43/1.85 ($true = $false) | (sF13 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2086])).
% 9.43/1.85 thf(f2090,plain,(
% 9.43/1.85 (sF13 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2089])).
% 9.43/1.85 thf(f2094,plain,(
% 9.43/1.85 (((eqimpsubset1 => sF12)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f409,f2090])).
% 9.43/1.85 thf(f2097,plain,(
% 9.43/1.85 (eqimpsubset1 = $true)),
% 9.43/1.85 inference(backward_demodulation,[],[f311,f2085])).
% 9.43/1.85 thf(f2102,plain,(
% 9.43/1.85 ((($true => sF12)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f2094,f2097])).
% 9.43/1.85 thf(f2103,plain,(
% 9.43/1.85 ($false = sF12)),
% 9.43/1.85 inference(boolean_simplification,[],[f2102])).
% 9.43/1.85 thf(f2105,plain,(
% 9.43/1.85 ($true = $false) | (sF10 = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f2079,f2103])).
% 9.43/1.85 thf(f2108,plain,(
% 9.43/1.85 (sF10 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2105])).
% 9.43/1.85 thf(f2110,plain,(
% 9.43/1.85 (((subsetE => sF9)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f404,f2108])).
% 9.43/1.85 thf(f2116,plain,(
% 9.43/1.85 ($false = sF9)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2110])).
% 9.43/1.85 thf(f2126,plain,(
% 9.43/1.85 ($false = ((subsetE2 => sF8)))),
% 9.43/1.85 inference(backward_demodulation,[],[f402,f2116])).
% 9.43/1.85 thf(f2137,plain,(
% 9.43/1.85 (((subsetE2 => $true)) = $false) | ($false = sF8)),
% 9.43/1.85 inference(superposition,[],[f2126,f369])).
% 9.43/1.85 thf(f2141,plain,(
% 9.43/1.85 ($false = sF8) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2137])).
% 9.43/1.85 thf(f2142,plain,(
% 9.43/1.85 ($false = sF8)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2141])).
% 9.43/1.85 thf(f2149,plain,(
% 9.43/1.85 (((notsubsetI => sF7)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f401,f2142])).
% 9.43/1.85 thf(f2154,plain,(
% 9.43/1.85 ($false = sF7) | (((notsubsetI => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f2149,f369])).
% 9.43/1.85 thf(f2157,plain,(
% 9.43/1.85 ($false = sF7) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2154])).
% 9.43/1.85 thf(f2158,plain,(
% 9.43/1.85 ($false = sF7)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2157])).
% 9.43/1.85 thf(f2164,plain,(
% 9.43/1.85 (((notequalI1 => sF6)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f399,f2158])).
% 9.43/1.85 thf(f2167,plain,(
% 9.43/1.85 (sF6 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2164])).
% 9.43/1.85 thf(f2179,plain,(
% 9.43/1.85 (((notequalI2 => sF5)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f397,f2167])).
% 9.43/1.85 thf(f2184,plain,(
% 9.43/1.85 (((notequalI2 => $true)) = $false) | (sF5 = $false)),
% 9.43/1.85 inference(superposition,[],[f2179,f369])).
% 9.43/1.85 thf(f2188,plain,(
% 9.43/1.85 (sF5 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2184])).
% 9.43/1.85 thf(f2189,plain,(
% 9.43/1.85 (sF5 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2188])).
% 9.43/1.85 thf(f2192,plain,(
% 9.43/1.85 ($false = ((subsetRefl => sF4)))),
% 9.43/1.85 inference(backward_demodulation,[],[f395,f2189])).
% 9.43/1.85 thf(f2199,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (subset @ Y0 @ Y0))) => sF4)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f2192,f310])).
% 9.43/1.85 thf(f2217,plain,(
% 9.43/1.85 ($false = sF4) | ((((!! @ $i @ (^[Y0 : $i]: (subset @ Y0 @ Y0))) => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f2199,f369])).
% 9.43/1.85 thf(f2220,plain,(
% 9.43/1.85 ($true = $false) | ($false = sF4)),
% 9.43/1.85 inference(boolean_simplification,[],[f2217])).
% 9.43/1.85 thf(f2221,plain,(
% 9.43/1.85 ($false = sF4)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2220])).
% 9.43/1.85 thf(f2227,plain,(
% 9.43/1.85 ($false = ((subsetTrans => sF3)))),
% 9.43/1.85 inference(backward_demodulation,[],[f394,f2221])).
% 9.43/1.85 thf(f2230,plain,(
% 9.43/1.85 (sF3 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2227])).
% 9.43/1.85 thf(f2240,plain,(
% 9.43/1.85 (((setadjoinSub => sF2)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f392,f2230])).
% 9.43/1.85 thf(f2245,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (subset @ Y0 @ (setadjoin @ Y1 @ Y0)))))) => sF2)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f2240,f322])).
% 9.43/1.85 thf(f2250,plain,(
% 9.43/1.85 (sF2 = $false) | ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (subset @ Y0 @ (setadjoin @ Y1 @ Y0)))))) => $true)) = $false)),
% 9.43/1.85 inference(superposition,[],[f2245,f369])).
% 9.43/1.85 thf(f2254,plain,(
% 9.43/1.85 (sF2 = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2250])).
% 9.43/1.85 thf(f2255,plain,(
% 9.43/1.85 (sF2 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2254])).
% 9.43/1.85 thf(f2262,plain,(
% 9.43/1.85 (((setadjoinSub2 => sF1)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f390,f2255])).
% 9.43/1.85 thf(f2265,plain,(
% 9.43/1.85 (sF1 = $false)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2262])).
% 9.43/1.85 thf(f2275,plain,(
% 9.43/1.85 (((subset2powerset => sF0)) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f388,f2265])).
% 9.43/1.85 thf(f2280,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (in @ Y0 @ (powerset @ Y1))))))) => sF0)) = $false)),
% 9.43/1.85 inference(forward_demodulation,[],[f2275,f314])).
% 9.43/1.85 thf(f2303,plain,(
% 9.43/1.85 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (in @ Y0 @ (powerset @ Y1)))))))))),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2280])).
% 9.43/1.85 thf(f2304,plain,(
% 9.43/1.85 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (in @ Y0 @ (powerset @ Y1))))))) => $true)) = $false) | (sF0 = $false)),
% 9.43/1.85 inference(superposition,[],[f2280,f369])).
% 9.43/1.85 thf(f2307,plain,(
% 9.43/1.85 ($true = $false) | (sF0 = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2304])).
% 9.43/1.85 thf(f2308,plain,(
% 9.43/1.85 (sF0 = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2307])).
% 9.43/1.85 thf(f2312,plain,(
% 9.43/1.85 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => ((subset @ Y1 @ Y0) => (Y1 = Y0)))))))) = $false)),
% 9.43/1.85 inference(backward_demodulation,[],[f387,f2308])).
% 9.43/1.85 thf(f2336,plain,(
% 9.43/1.85 ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => ((subset @ Y1 @ Y0) => (Y1 = Y0)))))) @ sK92)) = $false)),
% 9.43/1.85 inference(sigma_proxy_clausification,[],[f2312])).
% 9.43/1.85 thf(f2339,plain,(
% 9.43/1.85 (((!! @ $i @ (^[Y0 : $i]: ((subset @ sK92 @ Y0) => ((subset @ Y0 @ sK92) => (Y0 = sK92)))))) = $false)),
% 9.43/1.85 inference(beta-eta_normalization,[],[f2336])).
% 9.43/1.85 thf(f2340,plain,(
% 9.43/1.85 ((((^[Y0 : $i]: ((subset @ sK92 @ Y0) => ((subset @ Y0 @ sK92) => (Y0 = sK92)))) @ sK93)) = $false)),
% 9.43/1.85 inference(sigma_proxy_clausification,[],[f2339])).
% 9.43/1.85 thf(f2342,plain,(
% 9.43/1.85 ($false = (((subset @ sK92 @ sK93) => ((subset @ sK93 @ sK92) => (sK93 = sK92)))))),
% 9.43/1.85 inference(beta-eta_normalization,[],[f2340])).
% 9.43/1.85 thf(f2345,plain,(
% 9.43/1.85 (((subset @ sK92 @ sK93)) = $true)),
% 9.43/1.85 inference(imp_proxy_clausification,[],[f2342])).
% 9.43/1.85 thf(f2346,plain,(
% 9.43/1.85 (((sK93 = sK92)) = $false) | ($false = (((subset @ sK92 @ sK93) => ((subset @ sK93 @ sK92) => $true))))),
% 9.43/1.85 inference(superposition,[],[f2342,f369])).
% 9.43/1.85 thf(f2348,plain,(
% 9.43/1.85 ((((subset @ sK92 @ sK93) => $true)) = $false) | ((((subset @ sK93 @ sK92) => (sK93 = sK92))) = $false)),
% 9.43/1.85 inference(superposition,[],[f2342,f369])).
% 9.43/1.85 thf(f2351,plain,(
% 9.43/1.85 (((sK93 = sK92)) = $false) | ((((subset @ sK92 @ sK93) => $true)) = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2346])).
% 9.43/1.85 thf(f2352,plain,(
% 9.43/1.85 (((sK93 = sK92)) = $false) | ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2351])).
% 9.43/1.85 thf(f2353,plain,(
% 9.43/1.85 (((sK93 = sK92)) = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2352])).
% 9.43/1.85 thf(f2355,plain,(
% 9.43/1.85 ($true = $false) | ((((subset @ sK93 @ sK92) => (sK93 = sK92))) = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2348])).
% 9.43/1.85 thf(f2356,plain,(
% 9.43/1.85 ((((subset @ sK93 @ sK92) => (sK93 = sK92))) = $false)),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f2355])).
% 9.43/1.85 thf(f2363,plain,(
% 9.43/1.85 ($false = (((subset @ sK93 @ sK92) => $false)))),
% 9.43/1.85 inference(forward_demodulation,[],[f2356,f2353])).
% 9.43/1.85 thf(f2364,plain,(
% 9.43/1.85 (((~ (subset @ sK93 @ sK92))) = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f2363])).
% 9.43/1.85 thf(f2833,plain,(
% 9.43/1.85 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0)))))) @ X1)))) )),
% 9.43/1.85 inference(pi_proxy_clausification,[],[f976])).
% 9.43/1.85 thf(f2834,plain,(
% 9.43/1.85 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (in @ Y1 @ Y0)))) => ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (Y0 = X1)))))) = $true)) )),
% 9.43/1.85 inference(beta-eta_normalization,[],[f2833])).
% 9.43/1.85 thf(f2835,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (in @ Y1 @ Y0)))) => ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (Y0 = X1)))) @ X2)))) )),
% 9.43/1.85 inference(pi_proxy_clausification,[],[f2834])).
% 9.43/1.85 thf(f2836,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (in @ Y0 @ X2)))) => ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) => (X2 = X1)))) = $true)) )),
% 9.43/1.85 inference(beta-eta_normalization,[],[f2835])).
% 9.43/1.85 thf(f2837,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (((((in @ X1 @ (powerset @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) => (X2 = X1)))) = $true)) )),
% 9.43/1.85 inference(forward_demodulation,[],[f2836,f1315])).
% 9.43/1.85 thf(f2838,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (((((in @ X1 @ (powerset @ X2)) => ((in @ X2 @ (powerset @ X1)) => (X2 = X1)))) = $true)) )),
% 9.43/1.85 inference(forward_demodulation,[],[f2837,f1315])).
% 9.43/1.85 thf(f3322,plain,(
% 9.43/1.85 ((((in @ sK92 @ (powerset @ sK93)) => ((in @ sK93 @ (powerset @ sK92)) => $false))) = $true)),
% 9.43/1.85 inference(superposition,[],[f2838,f2353])).
% 9.43/1.85 thf(f3355,plain,(
% 9.43/1.85 ($true = (((in @ sK92 @ (powerset @ sK93)) => (~ (in @ sK93 @ (powerset @ sK92))))))),
% 9.43/1.85 inference(boolean_simplification,[],[f3322])).
% 9.43/1.85 thf(f3361,plain,(
% 9.43/1.85 ($true = ((subset @ sK93 @ sK92)))),
% 9.43/1.85 inference(not_proxy_clausification,[],[f2364])).
% 9.43/1.85 thf(f4544,plain,(
% 9.43/1.85 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1) => (in @ Y0 @ (powerset @ Y1)))))) @ X1)) = $true)) )),
% 9.43/1.85 inference(pi_proxy_clausification,[],[f2303])).
% 9.43/1.85 thf(f4545,plain,(
% 9.43/1.85 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((subset @ X1 @ Y0) => (in @ X1 @ (powerset @ Y0)))))))) )),
% 9.43/1.85 inference(beta-eta_normalization,[],[f4544])).
% 9.43/1.85 thf(f4546,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((subset @ X1 @ Y0) => (in @ X1 @ (powerset @ Y0)))) @ X2)))) )),
% 9.43/1.85 inference(pi_proxy_clausification,[],[f4545])).
% 9.43/1.85 thf(f4547,plain,(
% 9.43/1.85 ( ! [X2 : $i,X1 : $i] : (($true = (((subset @ X1 @ X2) => (in @ X1 @ (powerset @ X2)))))) )),
% 9.43/1.85 inference(beta-eta_normalization,[],[f4546])).
% 9.43/1.85 thf(f4555,plain,(
% 9.43/1.85 ((($true => (in @ sK93 @ (powerset @ sK92)))) = $true)),
% 9.43/1.85 inference(superposition,[],[f4547,f3361])).
% 9.43/1.85 thf(f4556,plain,(
% 9.43/1.85 ($true = (($true => (in @ sK92 @ (powerset @ sK93)))))),
% 9.43/1.85 inference(superposition,[],[f4547,f2345])).
% 9.43/1.85 thf(f4560,plain,(
% 9.43/1.85 (((in @ sK93 @ (powerset @ sK92))) = $true)),
% 9.43/1.85 inference(boolean_simplification,[],[f4555])).
% 9.43/1.85 thf(f4566,plain,(
% 9.43/1.85 ($true = ((in @ sK92 @ (powerset @ sK93))))),
% 9.43/1.85 inference(boolean_simplification,[],[f4556])).
% 9.43/1.85 thf(f4568,plain,(
% 9.43/1.85 ($true = (((in @ sK92 @ (powerset @ sK93)) => (~ $true))))),
% 9.43/1.85 inference(backward_demodulation,[],[f3355,f4560])).
% 9.43/1.85 thf(f4569,plain,(
% 9.43/1.85 ($true = (((in @ sK92 @ (powerset @ sK93)) => $false)))),
% 9.43/1.85 inference(boolean_simplification,[],[f4568])).
% 9.43/1.85 thf(f4570,plain,(
% 9.43/1.85 ($true = ((~ (in @ sK92 @ (powerset @ sK93)))))),
% 9.43/1.85 inference(boolean_simplification,[],[f4569])).
% 9.43/1.85 thf(f4572,plain,(
% 9.43/1.85 ($true = ((~ $true)))),
% 9.43/1.85 inference(forward_demodulation,[],[f4570,f4566])).
% 9.43/1.85 thf(f4573,plain,(
% 9.43/1.85 ($true = $false)),
% 9.43/1.85 inference(boolean_simplification,[],[f4572])).
% 9.43/1.85 thf(f4574,plain,(
% 9.43/1.85 $false),
% 9.43/1.85 inference(trivial_inequality_removal,[],[f4573])).
% 9.43/1.85 % SZS output end Proof for theBenchmark
% 9.43/1.85 % (2891694)------------------------------
% 9.43/1.85 % (2891694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.43/1.85 % (2891694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.85 % (2891694)CaDiCaL version: 2.1.3
% 9.43/1.85 % (2891694)Termination reason: Refutation
% 9.43/1.85 % (2891694)Time elapsed: 0.246 s
% 9.43/1.85 % (2891694)Peak memory usage: 17 MB
% 9.43/1.85 % (2891694)Instructions burned: 449 (million)
% 9.43/1.85 % (2891355)Success in time 1.579 s
% 9.43/1.85 % Vampire exiting
%------------------------------------------------------------------------------