%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU715^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:55 AM UTC 2026
% Result : Theorem 2.34s 0.66s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU715^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:14:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.41 % (837209)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.41 % (837230)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.41 % (837230)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
% 0.53/0.41 % (837226)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=1410275343: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)
% 0.53/0.41 % (837224)lrs+10_16_si=on:nwc=1.5:random_seed=1190729204:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.41 % (837223)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1885255123:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.41 % (837227)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1144305187:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.41 % (837230)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=285099453:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.41 % (837229)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1204014141:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.41 % (837225)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3822841317:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.41 % (837225)Instruction limit reached!
% 0.53/0.41 % (837225)------------------------------
% 0.53/0.41 % (837225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (837225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (837225)CaDiCaL version: 2.1.3
% 0.53/0.41 % (837225)Termination reason: Instruction limit
% 0.53/0.41 % (837225)Termination phase: shuffling
% 0.53/0.41 % (837225)Time elapsed: 0.001 s
% 0.53/0.41 % (837225)Peak memory usage: 10 MB
% 0.53/0.41 % (837225)Instructions burned: 3 (million)
% 0.53/0.41 % (837224)Instruction limit reached!
% 0.53/0.41 % (837224)------------------------------
% 0.53/0.41 % (837224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (837224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (837224)CaDiCaL version: 2.1.3
% 0.53/0.41 % (837224)Termination reason: Instruction limit
% 0.53/0.41 % (837224)Termination phase: shuffling
% 0.53/0.41 % (837224)Time elapsed: 0.008 s
% 0.53/0.41 % (837224)Peak memory usage: 10 MB
% 0.53/0.41 % (837224)Instructions burned: 18 (million)
% 0.53/0.41 % (837227)Instruction limit reached!
% 0.53/0.41 % (837227)------------------------------
% 0.53/0.41 % (837227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (837227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (837227)CaDiCaL version: 2.1.3
% 0.53/0.41 % (837227)Termination reason: Instruction limit
% 0.53/0.41 % (837227)Termination phase: Property scanning
% 0.53/0.41 % (837227)Time elapsed: 0.012 s
% 0.53/0.41 % (837227)Peak memory usage: 10 MB
% 0.53/0.41 % (837227)Instructions burned: 26 (million)
% 0.53/0.41 % (837248)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=472749551:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.41 % (837248)Instruction limit reached!
% 0.53/0.41 % (837248)------------------------------
% 0.53/0.41 % (837248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (837248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (837248)CaDiCaL version: 2.1.3
% 0.53/0.41 % (837248)Termination reason: Instruction limit
% 0.53/0.41 % (837248)Termination phase: shuffling
% 0.53/0.41 % (837248)Time elapsed: 0.001 s
% 0.53/0.41 % (837248)Peak memory usage: 10 MB
% 0.53/0.41 % (837248)Instructions burned: 2 (million)
% 0.53/0.41 % (837255)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.41 % (837260)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3517487311:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.45 % (837252)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3642533021:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.45 % (837255)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3602874514:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.45 % (837252)Instruction limit reached!
% 0.53/0.45 % (837252)------------------------------
% 0.53/0.45 % (837252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.45 % (837252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.45 % (837252)CaDiCaL version: 2.1.3
% 0.53/0.45 % (837252)Termination reason: Instruction limit
% 0.53/0.45 % (837252)Termination phase: shuffling
% 0.53/0.45 % (837252)Time elapsed: 0.003 s
% 0.53/0.45 % (837252)Peak memory usage: 10 MB
% 0.53/0.45 % (837252)Instructions burned: 5 (million)
% 0.53/0.45 % (837260)Instruction limit reached!
% 0.53/0.45 % (837260)------------------------------
% 0.53/0.45 % (837260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.45 % (837260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.45 % (837260)CaDiCaL version: 2.1.3
% 0.53/0.45 % (837260)Termination reason: Instruction limit
% 0.53/0.45 % (837260)Termination phase: shuffling
% 0.53/0.45 % (837260)Time elapsed: 0.004 s
% 0.53/0.45 % (837260)Peak memory usage: 11 MB
% 0.53/0.45 % (837260)Instructions burned: 13 (million)
% 0.53/0.45 % (837255)Instruction limit reached!
% 0.53/0.45 % (837255)------------------------------
% 0.53/0.45 % (837255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.45 % (837255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.45 % (837255)CaDiCaL version: 2.1.3
% 0.53/0.45 % (837255)Termination reason: Instruction limit
% 0.53/0.45 % (837255)Termination phase: shuffling
% 0.53/0.45 % (837255)Time elapsed: 0.004 s
% 0.53/0.45 % (837255)Peak memory usage: 10 MB
% 0.53/0.45 % (837255)Instructions burned: 9 (million)
% 0.53/0.45 % (837229)Instruction limit reached!
% 0.53/0.45 % (837229)------------------------------
% 0.53/0.45 % (837229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.45 % (837229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.45 % (837229)CaDiCaL version: 2.1.3
% 0.53/0.45 % (837229)Termination reason: Instruction limit
% 0.53/0.45 % (837229)Termination phase: Preprocessing 3
% 0.53/0.45 % (837229)Time elapsed: 0.037 s
% 0.53/0.45 % (837229)Peak memory usage: 12 MB
% 0.53/0.45 % (837229)Instructions burned: 77 (million)
% 0.53/0.45 % (837223)Instruction limit reached!
% 0.53/0.45 % (837223)------------------------------
% 0.53/0.45 % (837223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.45 % (837223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.45 % (837223)CaDiCaL version: 2.1.3
% 0.53/0.45 % (837223)Termination reason: Instruction limit
% 0.53/0.45 % (837223)Termination phase: Preprocessing 3
% 0.53/0.45 % (837223)Time elapsed: 0.041 s
% 0.53/0.45 % (837223)Peak memory usage: 13 MB
% 0.53/0.45 % (837223)Instructions burned: 88 (million)
% 0.53/0.45 % (837269)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=3074163986:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.53/0.45 % (837268)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
% 0.53/0.45 % (837268)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.45 % (837268)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1115562626:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.45 % (837276)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.45 % (837273)lrs+10_1_si=on:cs=on:random_seed=1703258711:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.23/0.49 % (837276)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=2634150639:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.23/0.49 % (837273)Instruction limit reached!
% 1.23/0.49 % (837273)------------------------------
% 1.23/0.49 % (837273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837273)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837273)Termination reason: Instruction limit
% 1.23/0.49 % (837273)Termination phase: shuffling
% 1.23/0.49 % (837273)Time elapsed: 0.004 s
% 1.23/0.49 % (837273)Peak memory usage: 10 MB
% 1.23/0.49 % (837273)Instructions burned: 8 (million)
% 1.23/0.49 % (837277)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2470021473:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.23/0.49 % (837276)Instruction limit reached!
% 1.23/0.49 % (837276)------------------------------
% 1.23/0.49 % (837276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837276)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837276)Termination reason: Instruction limit
% 1.23/0.49 % (837276)Termination phase: shuffling
% 1.23/0.49 % (837276)Time elapsed: 0.002 s
% 1.23/0.49 % (837276)Peak memory usage: 10 MB
% 1.23/0.49 % (837276)Instructions burned: 4 (million)
% 1.23/0.49 % (837269)Instruction limit reached!
% 1.23/0.49 % (837269)------------------------------
% 1.23/0.49 % (837269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837269)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837269)Termination reason: Instruction limit
% 1.23/0.49 % (837269)Termination phase: Property scanning
% 1.23/0.49 % (837269)Time elapsed: 0.019 s
% 1.23/0.49 % (837269)Peak memory usage: 11 MB
% 1.23/0.49 % (837269)Instructions burned: 87 (million)
% 1.23/0.49 % (837268)Instruction limit reached!
% 1.23/0.49 % (837268)------------------------------
% 1.23/0.49 % (837268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837268)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837268)Termination reason: Instruction limit
% 1.23/0.49 % (837268)Termination phase: shuffling
% 1.23/0.49 % (837268)Time elapsed: 0.014 s
% 1.23/0.49 % (837268)Peak memory usage: 10 MB
% 1.23/0.49 % (837268)Instructions burned: 30 (million)
% 1.23/0.49 % (837230)Instruction limit reached!
% 1.23/0.49 % (837230)------------------------------
% 1.23/0.49 % (837230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837230)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837230)Termination reason: Instruction limit
% 1.23/0.49 % (837230)Termination phase: Saturation
% 1.23/0.49 % (837230)Time elapsed: 0.068 s
% 1.23/0.49 % (837230)Peak memory usage: 13 MB
% 1.23/0.49 % (837230)Instructions burned: 157 (million)
% 1.23/0.49 % (837290)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1115739015:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.49 % (837277)Instruction limit reached!
% 1.23/0.49 % (837277)------------------------------
% 1.23/0.49 % (837277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837277)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837277)Termination reason: Instruction limit
% 1.23/0.49 % (837277)Termination phase: SInE selection
% 1.23/0.49 % (837277)Time elapsed: 0.017 s
% 1.23/0.49 % (837277)Peak memory usage: 11 MB
% 1.23/0.49 % (837277)Instructions burned: 39 (million)
% 1.23/0.49 % (837290)Instruction limit reached!
% 1.23/0.49 % (837290)------------------------------
% 1.23/0.49 % (837290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (837290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (837290)CaDiCaL version: 2.1.3
% 1.23/0.49 % (837290)Termination reason: Instruction limit
% 1.23/0.49 % (837290)Termination phase: shuffling
% 1.23/0.49 % (837290)Time elapsed: 0.004 s
% 1.23/0.55 % (837290)Peak memory usage: 10 MB
% 1.23/0.55 % (837290)Instructions burned: 17 (million)
% 1.23/0.55 % (837287)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=343487887:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.23/0.55 % (837288)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4003214910:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.23/0.55 % (837293)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1749322837:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.23/0.55 % (837294)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1843092196:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.55 % (837288)Instruction limit reached!
% 1.23/0.55 % (837288)------------------------------
% 1.23/0.55 % (837288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (837288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (837288)CaDiCaL version: 2.1.3
% 1.23/0.55 % (837288)Termination reason: Instruction limit
% 1.23/0.55 % (837288)Termination phase: Property scanning
% 1.23/0.55 % (837288)Time elapsed: 0.012 s
% 1.23/0.55 % (837288)Peak memory usage: 10 MB
% 1.23/0.55 % (837288)Instructions burned: 26 (million)
% 1.23/0.55 % (837294)Instruction limit reached!
% 1.23/0.55 % (837294)------------------------------
% 1.23/0.55 % (837294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (837294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (837294)CaDiCaL version: 2.1.3
% 1.23/0.55 % (837294)Termination reason: Instruction limit
% 1.23/0.55 % (837294)Termination phase: shuffling
% 1.23/0.55 % (837294)Time elapsed: 0.007 s
% 1.23/0.55 % (837294)Peak memory usage: 10 MB
% 1.23/0.55 % (837294)Instructions burned: 15 (million)
% 1.23/0.55 % (837301)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3975162773: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)
% 1.23/0.55 % (837302)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1563300379:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.23/0.55 % (837301)Instruction limit reached!
% 1.23/0.55 % (837301)------------------------------
% 1.23/0.55 % (837301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (837301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (837301)CaDiCaL version: 2.1.3
% 1.23/0.55 % (837301)Termination reason: Instruction limit
% 1.23/0.55 % (837301)Termination phase: shuffling
% 1.23/0.55 % (837301)Time elapsed: 0.003 s
% 1.23/0.55 % (837301)Peak memory usage: 10 MB
% 1.23/0.55 % (837301)Instructions burned: 6 (million)
% 1.23/0.55 % (837302)Instruction limit reached!
% 1.23/0.55 % (837302)------------------------------
% 1.23/0.55 % (837302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (837302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (837302)CaDiCaL version: 2.1.3
% 1.23/0.55 % (837302)Termination reason: Instruction limit
% 1.23/0.55 % (837302)Termination phase: shuffling
% 1.23/0.55 % (837302)Time elapsed: 0.008 s
% 1.23/0.55 % (837302)Peak memory usage: 10 MB
% 1.23/0.55 % (837302)Instructions burned: 28 (million)
% 1.23/0.55 % (837314)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3549997583:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.23/0.55 % (837315)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1799963499:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.23/0.55 % (837318)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
% 1.23/0.55 % (837318)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.23/0.55 % (837319)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.23/0.55 % (837319)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=2578448156:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.95/0.60 % (837318)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=1061620219:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.95/0.60 % (837319)Instruction limit reached!
% 1.95/0.60 % (837319)------------------------------
% 1.95/0.60 % (837319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.60 % (837319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.60 % (837319)CaDiCaL version: 2.1.3
% 1.95/0.60 % (837319)Termination reason: Instruction limit
% 1.95/0.60 % (837319)Termination phase: shuffling
% 1.95/0.60 % (837319)Time elapsed: 0.003 s
% 1.95/0.60 % (837319)Peak memory usage: 10 MB
% 1.95/0.60 % (837319)Instructions burned: 11 (million)
% 1.95/0.60 % (837314)Instruction limit reached!
% 1.95/0.60 % (837314)------------------------------
% 1.95/0.60 % (837314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.61 % (837314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.61 % (837314)CaDiCaL version: 2.1.3
% 1.95/0.61 % (837314)Termination reason: Instruction limit
% 1.95/0.61 % (837314)Termination phase: shuffling
% 1.95/0.61 % (837314)Time elapsed: 0.011 s
% 1.95/0.61 % (837314)Peak memory usage: 10 MB
% 1.95/0.61 % (837314)Instructions burned: 23 (million)
% 1.95/0.61 % (837318)Instruction limit reached!
% 1.95/0.61 % (837318)------------------------------
% 1.95/0.61 % (837318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.61 % (837318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.61 % (837318)CaDiCaL version: 2.1.3
% 1.95/0.61 % (837318)Termination reason: Instruction limit
% 1.95/0.61 % (837318)Termination phase: shuffling
% 1.95/0.61 % (837318)Time elapsed: 0.007 s
% 1.95/0.61 % (837318)Peak memory usage: 10 MB
% 1.95/0.61 % (837318)Instructions burned: 15 (million)
% 1.95/0.61 % (837328)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=912601264:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.95/0.61 % (837328)Instruction limit reached!
% 1.95/0.61 % (837328)------------------------------
% 1.95/0.61 % (837328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.61 % (837328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.61 % (837328)CaDiCaL version: 2.1.3
% 1.95/0.61 % (837328)Termination reason: Instruction limit
% 1.95/0.61 % (837328)Termination phase: shuffling
% 1.95/0.61 % (837328)Time elapsed: 0.002 s
% 1.95/0.61 % (837328)Peak memory usage: 10 MB
% 1.95/0.61 % (837328)Instructions burned: 8 (million)
% 1.95/0.61 % (837327)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=1147991902:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.95/0.61 % (837315)Instruction limit reached!
% 1.95/0.61 % (837315)------------------------------
% 1.95/0.61 % (837315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.61 % (837315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.61 % (837315)CaDiCaL version: 2.1.3
% 1.95/0.61 % (837315)Termination reason: Instruction limit
% 1.95/0.61 % (837315)Termination phase: Preprocessing 3
% 1.95/0.61 % (837315)Time elapsed: 0.029 s
% 1.95/0.61 % (837315)Peak memory usage: 12 MB
% 1.95/0.61 % (837315)Instructions burned: 60 (million)
% 1.95/0.61 % (837329)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2787896251:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.95/0.61 % (837334)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1136229281:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.95/0.61 % (837334)Instruction limit reached!
% 1.95/0.61 % (837334)------------------------------
% 1.95/0.61 % (837334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.61 % (837334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.61 % (837334)CaDiCaL version: 2.1.3
% 1.95/0.61 % (837334)Termination reason: Instruction limit
% 1.95/0.61 % (837334)Termination phase: shuffling
% 1.95/0.61 % (837334)Time elapsed: 0.005 s
% 2.34/0.66 % (837334)Peak memory usage: 10 MB
% 2.34/0.66 % (837334)Instructions burned: 21 (million)
% 2.34/0.66 % (837327)Instruction limit reached!
% 2.34/0.66 % (837327)------------------------------
% 2.34/0.66 % (837327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837327)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837327)Termination reason: Instruction limit
% 2.34/0.66 % (837327)Termination phase: shuffling
% 2.34/0.66 % (837327)Time elapsed: 0.014 s
% 2.34/0.66 % (837327)Peak memory usage: 10 MB
% 2.34/0.66 % (837327)Instructions burned: 31 (million)
% 2.34/0.66 % (837329)Instruction limit reached!
% 2.34/0.66 % (837329)------------------------------
% 2.34/0.66 % (837329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837329)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837329)Termination reason: Instruction limit
% 2.34/0.66 % (837329)Termination phase: shuffling
% 2.34/0.66 % (837329)Time elapsed: 0.011 s
% 2.34/0.66 % (837329)Peak memory usage: 10 MB
% 2.34/0.66 % (837329)Instructions burned: 24 (million)
% 2.34/0.66 % (837338)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3481165506:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.34/0.66 % (837347)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=730318901:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.34/0.66 % (837348)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1237891591:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.34/0.66 % (837349)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2403108197:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.34/0.66 % (837287)Instruction limit reached!
% 2.34/0.66 % (837287)------------------------------
% 2.34/0.66 % (837287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837287)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837287)Termination reason: Instruction limit
% 2.34/0.66 % (837287)Termination phase: Saturation
% 2.34/0.66 % (837287)Time elapsed: 0.115 s
% 2.34/0.66 % (837287)Peak memory usage: 15 MB
% 2.34/0.66 % (837287)Instructions burned: 249 (million)
% 2.34/0.66 % (837349)Instruction limit reached!
% 2.34/0.66 % (837349)------------------------------
% 2.34/0.66 % (837349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837349)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837349)Termination reason: Instruction limit
% 2.34/0.66 % (837349)Termination phase: Property scanning
% 2.34/0.66 % (837349)Time elapsed: 0.018 s
% 2.34/0.66 % (837349)Peak memory usage: 11 MB
% 2.34/0.66 % (837349)Instructions burned: 42 (million)
% 2.34/0.66 % (837347)Instruction limit reached!
% 2.34/0.66 % (837347)------------------------------
% 2.34/0.66 % (837347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837347)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837347)Termination reason: Instruction limit
% 2.34/0.66 % (837347)Termination phase: Saturation
% 2.34/0.66 % (837347)Time elapsed: 0.032 s
% 2.34/0.66 % (837347)Peak memory usage: 13 MB
% 2.34/0.66 % (837347)Instructions burned: 145 (million)
% 2.34/0.66 % (837365)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=231108370: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)
% 2.34/0.66 % (837362)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.34/0.66 % (837362)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1755597927:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.34/0.66 % (837363)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4157992229:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.34/0.66 % (837362)Instruction limit reached!
% 2.34/0.66 % (837362)------------------------------
% 2.34/0.66 % (837362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837362)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837362)Termination reason: Instruction limit
% 2.34/0.66 % (837362)Termination phase: shuffling
% 2.34/0.66 % (837362)Time elapsed: 0.003 s
% 2.34/0.66 % (837362)Peak memory usage: 10 MB
% 2.34/0.66 % (837362)Instructions burned: 7 (million)
% 2.34/0.66 % (837383)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.34/0.66 % (837383)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3255034263:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.34/0.66 % (837293)Instruction limit reached!
% 2.34/0.66 % (837293)------------------------------
% 2.34/0.66 % (837293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837293)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837293)Termination reason: Instruction limit
% 2.34/0.66 % (837293)Termination phase: Saturation
% 2.34/0.66 % (837293)Time elapsed: 0.153 s
% 2.34/0.66 % (837293)Peak memory usage: 15 MB
% 2.34/0.66 % (837293)Instructions burned: 328 (million)
% 2.34/0.66 % (837383)Instruction limit reached!
% 2.34/0.66 % (837383)------------------------------
% 2.34/0.66 % (837383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837383)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837383)Termination reason: Instruction limit
% 2.34/0.66 % (837383)Termination phase: shuffling
% 2.34/0.66 % (837383)Time elapsed: 0.003 s
% 2.34/0.66 % (837383)Peak memory usage: 10 MB
% 2.34/0.66 % (837383)Instructions burned: 6 (million)
% 2.34/0.66 % (837365)Instruction limit reached!
% 2.34/0.66 % (837365)------------------------------
% 2.34/0.66 % (837365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837365)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837365)Termination reason: Instruction limit
% 2.34/0.66 % (837365)Termination phase: Saturation
% 2.34/0.66 % (837365)Time elapsed: 0.038 s
% 2.34/0.66 % (837365)Peak memory usage: 13 MB
% 2.34/0.66 % (837365)Instructions burned: 169 (million)
% 2.34/0.66 % (837404)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=3777335642:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.34/0.66 % (837398)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3288160487:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.34/0.66 % (837401)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1410733755:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.34/0.66 % (837348)Instruction limit reached!
% 2.34/0.66 % (837348)------------------------------
% 2.34/0.66 % (837348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837348)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837348)Termination reason: Instruction limit
% 2.34/0.66 % (837348)Termination phase: Saturation
% 2.34/0.66 % (837348)Time elapsed: 0.086 s
% 2.34/0.66 % (837348)Peak memory usage: 14 MB
% 2.34/0.66 % (837348)Instructions burned: 193 (million)
% 2.34/0.66 % (837401)Instruction limit reached!
% 2.34/0.66 % (837401)------------------------------
% 2.34/0.66 % (837401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837401)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837401)Termination reason: Instruction limit
% 2.34/0.66 % (837401)Termination phase: shuffling
% 2.34/0.66 % (837401)Time elapsed: 0.008 s
% 2.34/0.66 % (837401)Peak memory usage: 10 MB
% 2.34/0.66 % (837401)Instructions burned: 19 (million)
% 2.34/0.66 % (837398)Instruction limit reached!
% 2.34/0.66 % (837398)------------------------------
% 2.34/0.66 % (837398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837398)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837398)Termination reason: Instruction limit
% 2.34/0.66 % (837398)Termination phase: shuffling
% 2.34/0.66 % (837398)Time elapsed: 0.010 s
% 2.34/0.66 % (837398)Peak memory usage: 10 MB
% 2.34/0.66 % (837398)Instructions burned: 23 (million)
% 2.34/0.66 % (837412)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=243283901: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)
% 2.34/0.66 % (837416)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=2899098892: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)
% 2.34/0.66 % (837417)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3049379606:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.34/0.66 % (837363)Instruction limit reached!
% 2.34/0.66 % (837363)------------------------------
% 2.34/0.66 % (837363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837363)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837363)Termination reason: Instruction limit
% 2.34/0.66 % (837363)Termination phase: Saturation
% 2.34/0.66 % (837363)Time elapsed: 0.078 s
% 2.34/0.66 % (837363)Peak memory usage: 14 MB
% 2.34/0.66 % (837363)Instructions burned: 182 (million)
% 2.34/0.66 % (837416)Instruction limit reached!
% 2.34/0.66 % (837416)------------------------------
% 2.34/0.66 % (837416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.66 % (837416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.66 % (837416)CaDiCaL version: 2.1.3
% 2.34/0.66 % (837416)Termination reason: Instruction limit
% 2.34/0.66 % (837416)Termination phase: Property scanning
% 2.34/0.66 % (837416)Time elapsed: 0.019 s
% 2.34/0.66 % (837416)Peak memory usage: 10 MB
% 2.34/0.66 % (837416)Instructions burned: 45 (million)
% 2.34/0.66 % (837421)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2628664076: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)
% 2.34/0.66 % (837226) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-837209-837226"...
% 2.34/0.66 % (837226)...printing done.
% 2.34/0.66 % (837226)Refutation found. Thanks to Tanya!
% 2.34/0.66 % SZS status Theorem for theBenchmark
% 2.34/0.66 % SZS output start Proof for theBenchmark
% 2.34/0.66 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.34/0.66 thf(func_def_0, type, in: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 2.34/0.66 thf(func_def_3, type, setextAx: $o).
% 2.34/0.66 thf(func_def_5, type, emptysetAx: $o).
% 2.34/0.66 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_7, type, setadjoinAx: $o).
% 2.34/0.66 thf(func_def_8, type, powerset: ($i > $i)).
% 2.34/0.66 thf(func_def_9, type, powersetAx: $o).
% 2.34/0.66 thf(func_def_10, type, setunion: ($i > $i)).
% 2.34/0.66 thf(func_def_11, type, setunionAx: $o).
% 2.34/0.66 thf(func_def_13, type, omega0Ax: $o).
% 2.34/0.66 thf(func_def_14, type, omegaSAx: $o).
% 2.34/0.66 thf(func_def_15, type, omegaIndAx: $o).
% 2.34/0.66 thf(func_def_16, type, replAx: $o).
% 2.34/0.66 thf(func_def_17, type, foundationAx: $o).
% 2.34/0.66 thf(func_def_18, type, wellorderingAx: $o).
% 2.34/0.66 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 2.34/0.66 thf(func_def_20, type, descrp: $o).
% 2.34/0.66 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_22, type, dsetconstrI: $o).
% 2.34/0.66 thf(func_def_23, type, dsetconstrEL: $o).
% 2.34/0.66 thf(func_def_24, type, dsetconstrER: $o).
% 2.34/0.66 thf(func_def_25, type, exuE1: $o).
% 2.34/0.66 thf(func_def_26, type, prop2set: ($o > $i)).
% 2.34/0.66 thf(func_def_27, type, prop2setE: $o).
% 2.34/0.66 thf(func_def_28, type, emptysetE: $o).
% 2.34/0.66 thf(func_def_29, type, emptysetimpfalse: $o).
% 2.34/0.66 thf(func_def_30, type, notinemptyset: $o).
% 2.34/0.66 thf(func_def_31, type, exuE3e: $o).
% 2.34/0.66 thf(func_def_32, type, setext: $o).
% 2.34/0.66 thf(func_def_33, type, emptyI: $o).
% 2.34/0.66 thf(func_def_34, type, noeltsimpempty: $o).
% 2.34/0.66 thf(func_def_35, type, setbeta: $o).
% 2.34/0.66 thf(func_def_36, type, nonempty: ($i > $o)).
% 2.34/0.66 thf(func_def_37, type, nonemptyE1: $o).
% 2.34/0.66 thf(func_def_38, type, nonemptyI: $o).
% 2.34/0.66 thf(func_def_39, type, nonemptyI1: $o).
% 2.34/0.66 thf(func_def_40, type, setadjoinIL: $o).
% 2.34/0.66 thf(func_def_41, type, emptyinunitempty: $o).
% 2.34/0.66 thf(func_def_42, type, setadjoinIR: $o).
% 2.34/0.66 thf(func_def_43, type, setadjoinE: $o).
% 2.34/0.66 thf(func_def_44, type, setadjoinOr: $o).
% 2.34/0.66 thf(func_def_45, type, setoftrueEq: $o).
% 2.34/0.66 thf(func_def_46, type, powersetI: $o).
% 2.34/0.66 thf(func_def_47, type, emptyinPowerset: $o).
% 2.34/0.66 thf(func_def_48, type, emptyInPowerset: $o).
% 2.34/0.66 thf(func_def_49, type, powersetE: $o).
% 2.34/0.66 thf(func_def_50, type, setunionI: $o).
% 2.34/0.66 thf(func_def_51, type, setunionE: $o).
% 2.34/0.66 thf(func_def_52, type, subPowSU: $o).
% 2.34/0.66 thf(func_def_53, type, exuE2: $o).
% 2.34/0.66 thf(func_def_54, type, nonemptyImpWitness: $o).
% 2.34/0.66 thf(func_def_55, type, uniqinunit: $o).
% 2.34/0.66 thf(func_def_56, type, notinsingleton: $o).
% 2.34/0.66 thf(func_def_57, type, eqinunit: $o).
% 2.34/0.66 thf(func_def_58, type, singletonsswitch: $o).
% 2.34/0.66 thf(func_def_59, type, upairsetE: $o).
% 2.34/0.66 thf(func_def_60, type, upairsetIL: $o).
% 2.34/0.66 thf(func_def_61, type, upairsetIR: $o).
% 2.34/0.66 thf(func_def_62, type, emptyE1: $o).
% 2.34/0.66 thf(func_def_63, type, vacuousDall: $o).
% 2.34/0.66 thf(func_def_64, type, quantDeMorgan1: $o).
% 2.34/0.66 thf(func_def_65, type, quantDeMorgan2: $o).
% 2.34/0.66 thf(func_def_66, type, quantDeMorgan3: $o).
% 2.34/0.66 thf(func_def_67, type, quantDeMorgan4: $o).
% 2.34/0.66 thf(func_def_68, type, prop2setI: $o).
% 2.34/0.66 thf(func_def_69, type, set2prop: ($i > $o)).
% 2.34/0.66 thf(func_def_70, type, prop2set2propI: $o).
% 2.34/0.66 thf(func_def_71, type, notdexE: $o).
% 2.34/0.66 thf(func_def_72, type, notdallE: $o).
% 2.34/0.66 thf(func_def_73, type, exuI1: $o).
% 2.34/0.66 thf(func_def_74, type, exuI3: $o).
% 2.34/0.66 thf(func_def_75, type, exuI2: $o).
% 2.34/0.66 thf(func_def_76, type, inCongP: $o).
% 2.34/0.66 thf(func_def_77, type, in__Cong: $o).
% 2.34/0.66 thf(func_def_78, type, exuE3u: $o).
% 2.34/0.66 thf(func_def_79, type, exu__Cong: $o).
% 2.34/0.66 thf(func_def_80, type, emptyset__Cong: $o).
% 2.34/0.66 thf(func_def_81, type, setadjoin__Cong: $o).
% 2.34/0.66 thf(func_def_82, type, powerset__Cong: $o).
% 2.34/0.66 thf(func_def_83, type, setunion__Cong: $o).
% 2.34/0.66 thf(func_def_84, type, omega__Cong: $o).
% 2.34/0.66 thf(func_def_85, type, exuEu: $o).
% 2.34/0.66 thf(func_def_86, type, descr__Cong: $o).
% 2.34/0.66 thf(func_def_87, type, dsetconstr__Cong: $o).
% 2.34/0.66 thf(func_def_88, type, subset: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_91, type, subsetI1: $o).
% 2.34/0.66 thf(func_def_92, type, eqimpsubset2: $o).
% 2.34/0.66 thf(func_def_93, type, eqimpsubset1: $o).
% 2.34/0.66 thf(func_def_94, type, subsetI2: $o).
% 2.34/0.66 thf(func_def_95, type, emptysetsubset: $o).
% 2.34/0.66 thf(func_def_96, type, subsetE: $o).
% 2.34/0.66 thf(func_def_97, type, subsetE2: $o).
% 2.34/0.66 thf(func_def_98, type, notsubsetI: $o).
% 2.34/0.66 thf(func_def_99, type, notequalI1: $o).
% 2.34/0.66 thf(func_def_100, type, notequalI2: $o).
% 2.34/0.66 thf(func_def_101, type, subsetRefl: $o).
% 2.34/0.66 thf(func_def_102, type, subsetTrans: $o).
% 2.34/0.66 thf(func_def_103, type, setadjoinSub: $o).
% 2.34/0.66 thf(func_def_104, type, setadjoinSub2: $o).
% 2.34/0.66 thf(func_def_105, type, subset2powerset: $o).
% 2.34/0.66 thf(func_def_106, type, setextsub: $o).
% 2.34/0.66 thf(func_def_107, type, subsetemptysetimpeq: $o).
% 2.34/0.66 thf(func_def_108, type, powersetI1: $o).
% 2.34/0.66 thf(func_def_109, type, powersetE1: $o).
% 2.34/0.66 thf(func_def_110, type, inPowerset: $o).
% 2.34/0.66 thf(func_def_111, type, powersetsubset: $o).
% 2.34/0.66 thf(func_def_112, type, sepInPowerset: $o).
% 2.34/0.66 thf(func_def_113, type, sepSubset: $o).
% 2.34/0.66 thf(func_def_114, type, binunion: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_115, type, binunionIL: $o).
% 2.34/0.66 thf(func_def_116, type, upairset2IR: $o).
% 2.34/0.66 thf(func_def_117, type, binunionIR: $o).
% 2.34/0.66 thf(func_def_118, type, binunionEcases: $o).
% 2.34/0.66 thf(func_def_119, type, binunionE: $o).
% 2.34/0.66 thf(func_def_120, type, binunionLsub: $o).
% 2.34/0.66 thf(func_def_121, type, binunionRsub: $o).
% 2.34/0.66 thf(func_def_122, type, binintersect: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_123, type, binintersectI: $o).
% 2.34/0.66 thf(func_def_124, type, binintersectSubset5: $o).
% 2.34/0.66 thf(func_def_125, type, binintersectEL: $o).
% 2.34/0.66 thf(func_def_126, type, binintersectLsub: $o).
% 2.34/0.66 thf(func_def_127, type, binintersectSubset2: $o).
% 2.34/0.66 thf(func_def_128, type, binintersectSubset3: $o).
% 2.34/0.66 thf(func_def_129, type, binintersectER: $o).
% 2.34/0.66 thf(func_def_130, type, disjointsetsI1: $o).
% 2.34/0.66 thf(func_def_131, type, binintersectRsub: $o).
% 2.34/0.66 thf(func_def_132, type, binintersectSubset4: $o).
% 2.34/0.66 thf(func_def_133, type, binintersectSubset1: $o).
% 2.34/0.66 thf(func_def_134, type, bs114d: $o).
% 2.34/0.66 thf(func_def_135, type, regular: ($i > $o)).
% 2.34/0.66 thf(func_def_136, type, setminus: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_137, type, setminusI: $o).
% 2.34/0.66 thf(func_def_138, type, setminusEL: $o).
% 2.34/0.66 thf(func_def_139, type, setminusER: $o).
% 2.34/0.66 thf(func_def_140, type, setminusSubset2: $o).
% 2.34/0.66 thf(func_def_141, type, setminusERneg: $o).
% 2.34/0.66 thf(func_def_142, type, setminusELneg: $o).
% 2.34/0.66 thf(func_def_143, type, setminusILneg: $o).
% 2.34/0.66 thf(func_def_144, type, setminusIRneg: $o).
% 2.34/0.66 thf(func_def_145, type, setminusLsub: $o).
% 2.34/0.66 thf(func_def_146, type, setminusSubset1: $o).
% 2.34/0.66 thf(func_def_147, type, symdiff: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_148, type, symdiffE: $o).
% 2.34/0.66 thf(func_def_149, type, symdiffI1: $o).
% 2.34/0.66 thf(func_def_150, type, symdiffI2: $o).
% 2.34/0.66 thf(func_def_151, type, symdiffIneg1: $o).
% 2.34/0.66 thf(func_def_152, type, symdiffIneg2: $o).
% 2.34/0.66 thf(func_def_153, type, iskpair: ($i > $o)).
% 2.34/0.66 thf(func_def_154, type, secondinupair: $o).
% 2.34/0.66 thf(func_def_155, type, setukpairIL: $o).
% 2.34/0.66 thf(func_def_156, type, setukpairIR: $o).
% 2.34/0.66 thf(func_def_157, type, kpairiskpair: $o).
% 2.34/0.66 thf(func_def_158, type, kpair: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_159, type, kpairp: $o).
% 2.34/0.66 thf(func_def_160, type, cartprod: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_161, type, singletonsubset: $o).
% 2.34/0.66 thf(func_def_162, type, singletoninpowerset: $o).
% 2.34/0.66 thf(func_def_163, type, singletoninpowunion: $o).
% 2.34/0.66 thf(func_def_164, type, upairset2E: $o).
% 2.34/0.66 thf(func_def_165, type, upairsubunion: $o).
% 2.34/0.66 thf(func_def_166, type, upairinpowunion: $o).
% 2.34/0.66 thf(func_def_167, type, ubforcartprodlem1: $o).
% 2.34/0.66 thf(func_def_168, type, ubforcartprodlem2: $o).
% 2.34/0.66 thf(func_def_169, type, ubforcartprodlem3: $o).
% 2.34/0.66 thf(func_def_170, type, cartprodpairin: $o).
% 2.34/0.66 thf(func_def_171, type, cartprodmempair1: $o).
% 2.34/0.66 thf(func_def_172, type, cartprodmempair: $o).
% 2.34/0.66 thf(func_def_173, type, setunionE2: $o).
% 2.34/0.66 thf(func_def_174, type, setunionsingleton1: $o).
% 2.34/0.66 thf(func_def_175, type, setunionsingleton2: $o).
% 2.34/0.66 thf(func_def_176, type, setunionsingleton: $o).
% 2.34/0.66 thf(func_def_177, type, singleton: ($i > $o)).
% 2.34/0.66 thf(func_def_178, type, singletonprop: $o).
% 2.34/0.66 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)).
% 2.34/0.66 thf(func_def_180, type, ex1E1: $o).
% 2.34/0.66 thf(func_def_181, type, ex1I: $o).
% 2.34/0.66 thf(func_def_182, type, ex1I2: $o).
% 2.34/0.66 thf(func_def_183, type, singletonsuniq: $o).
% 2.34/0.66 thf(func_def_184, type, atmost1p: ($i > $o)).
% 2.34/0.66 thf(func_def_185, type, atleast2p: ($i > $o)).
% 2.34/0.66 thf(func_def_186, type, atmost2p: ($i > $o)).
% 2.34/0.66 thf(func_def_187, type, upairsetp: ($i > $o)).
% 2.34/0.66 thf(func_def_188, type, setukpairinjL1: $o).
% 2.34/0.66 thf(func_def_189, type, kfstsingleton: $o).
% 2.34/0.66 thf(func_def_190, type, theprop: $o).
% 2.34/0.66 thf(func_def_191, type, kfst: ($i > $i)).
% 2.34/0.66 thf(func_def_192, type, kfstpairEq: $o).
% 2.34/0.66 thf(func_def_193, type, cartprodfstin: $o).
% 2.34/0.66 thf(func_def_194, type, setukpairinjL2: $o).
% 2.34/0.66 thf(func_def_195, type, setukpairinjL: $o).
% 2.34/0.66 thf(func_def_196, type, setukpairinjR11: $o).
% 2.34/0.66 thf(func_def_197, type, setukpairinjR12: $o).
% 2.34/0.66 thf(func_def_198, type, setukpairinjR1: $o).
% 2.34/0.66 thf(func_def_199, type, upairequniteq: $o).
% 2.34/0.66 thf(func_def_200, type, setukpairinjR2: $o).
% 2.34/0.66 thf(func_def_201, type, setukpairinjR: $o).
% 2.34/0.66 thf(func_def_202, type, ksndsingleton: $o).
% 2.34/0.66 thf(func_def_203, type, ksnd: ($i > $i)).
% 2.34/0.66 thf(func_def_204, type, ksndpairEq: $o).
% 2.34/0.66 thf(func_def_205, type, kpairsurjEq: $o).
% 2.34/0.66 thf(func_def_206, type, cartprodsndin: $o).
% 2.34/0.66 thf(func_def_207, type, cartprodpairmemEL: $o).
% 2.34/0.66 thf(func_def_208, type, cartprodpairmemER: $o).
% 2.34/0.66 thf(func_def_209, type, cartprodmempaircEq: $o).
% 2.34/0.66 thf(func_def_210, type, cartprodfstpairEq: $o).
% 2.34/0.66 thf(func_def_211, type, cartprodsndpairEq: $o).
% 2.34/0.66 thf(func_def_212, type, cartprodpairsurjEq: $o).
% 2.34/0.66 thf(func_def_213, type, breln: ($i > $i > $i > $o)).
% 2.34/0.66 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)).
% 2.34/0.66 thf(func_def_215, type, dpsetconstrI: $o).
% 2.34/0.66 thf(func_def_216, type, dpsetconstrSub: $o).
% 2.34/0.66 thf(func_def_217, type, setOfPairsIsBReln: $o).
% 2.34/0.66 thf(func_def_218, type, dpsetconstrERa: $o).
% 2.34/0.66 thf(func_def_219, type, dpsetconstrEL1: $o).
% 2.34/0.66 thf(func_def_220, type, dpsetconstrEL2: $o).
% 2.34/0.66 thf(func_def_221, type, dpsetconstrER: $o).
% 2.34/0.66 thf(func_def_222, type, func: ($i > $i > $i > $o)).
% 2.34/0.66 thf(func_def_223, type, funcSet: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_224, type, funcImageSingleton: $o).
% 2.34/0.66 thf(func_def_225, type, apProp: $o).
% 2.34/0.66 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_227, type, app: $o).
% 2.34/0.66 thf(func_def_228, type, infuncsetfunc: $o).
% 2.34/0.66 thf(func_def_229, type, ap2p: $o).
% 2.34/0.66 thf(func_def_230, type, funcinfuncset: $o).
% 2.34/0.66 thf(func_def_231, type, lamProp: $o).
% 2.34/0.66 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)).
% 2.34/0.66 thf(func_def_233, type, lamp: $o).
% 2.34/0.66 thf(func_def_234, type, lam2p: $o).
% 2.34/0.66 thf(func_def_235, type, brelnall1: $o).
% 2.34/0.66 thf(func_def_236, type, brelnall2: $o).
% 2.34/0.66 thf(func_def_237, type, ex1E2: $o).
% 2.34/0.66 thf(func_def_238, type, funcGraphProp1: $o).
% 2.34/0.66 thf(func_def_239, type, funcGraphProp3: $o).
% 2.34/0.66 thf(func_def_240, type, funcGraphProp2: $o).
% 2.34/0.66 thf(func_def_241, type, funcextLem: $o).
% 2.34/0.66 thf(func_def_242, type, funcGraphProp4: $o).
% 2.34/0.66 thf(func_def_243, type, subbreln: $o).
% 2.34/0.66 thf(func_def_244, type, eqbreln: $o).
% 2.34/0.66 thf(func_def_245, type, funcext: $o).
% 2.34/0.66 thf(func_def_246, type, funcext2: $o).
% 2.34/0.66 thf(func_def_247, type, ap2apEq1: $o).
% 2.34/0.66 thf(func_def_248, type, ap2apEq2: $o).
% 2.34/0.66 thf(func_def_249, type, beta1: $o).
% 2.34/0.66 thf(func_def_250, type, eta1: $o).
% 2.34/0.66 thf(func_def_251, type, lam2lamEq: $o).
% 2.34/0.66 thf(func_def_252, type, beta2: $o).
% 2.34/0.66 thf(func_def_253, type, eta2: $o).
% 2.34/0.66 thf(func_def_254, type, iffalseProp1: $o).
% 2.34/0.66 thf(func_def_255, type, iffalseProp2: $o).
% 2.34/0.66 thf(func_def_256, type, iftrueProp1: $o).
% 2.34/0.66 thf(func_def_257, type, iftrueProp2: $o).
% 2.34/0.66 thf(func_def_258, type, ifSingleton: $o).
% 2.34/0.66 thf(func_def_259, type, if: ($i > $o > $i > $i > $i)).
% 2.34/0.66 thf(func_def_260, type, ifp: $o).
% 2.34/0.66 thf(func_def_261, type, theeq: $o).
% 2.34/0.66 thf(func_def_262, type, iftrue: $o).
% 2.34/0.66 thf(func_def_263, type, iffalse: $o).
% 2.34/0.66 thf(func_def_264, type, iftrueorfalse: $o).
% 2.34/0.66 thf(func_def_265, type, binintersectT_lem: $o).
% 2.34/0.66 thf(func_def_266, type, binunionT_lem: $o).
% 2.34/0.66 thf(func_def_267, type, powersetT_lem: $o).
% 2.34/0.66 thf(func_def_268, type, setminusT_lem: $o).
% 2.34/0.66 thf(func_def_269, type, complementT_lem: $o).
% 2.34/0.66 thf(func_def_272, type, db0: !>[X0: $tType]:(X0)).
% 2.34/0.66 thf(func_def_273, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.34/0.66 thf(func_def_274, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.34/0.66 thf(func_def_275, type, vNOT: ($o > $o)).
% 2.34/0.66 thf(func_def_276, type, vOR: ($o > $o > $o)).
% 2.34/0.66 thf(func_def_277, type, vAND: ($o > $o > $o)).
% 2.34/0.66 thf(func_def_278, type, db1: !>[X0: $tType]:(X0)).
% 2.34/0.66 thf(func_def_279, type, db2: !>[X0: $tType]:(X0)).
% 2.34/0.66 thf(func_def_280, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.34/0.66 thf(func_def_281, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.34/0.66 thf(func_def_282, type, vIMP: ($o > $o > $o)).
% 2.34/0.66 thf(func_def_283, type, sP0: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_284, type, sP1: ($i > $o)).
% 2.34/0.66 thf(func_def_285, type, sP2: $o).
% 2.34/0.66 thf(func_def_286, type, sP3: $o).
% 2.34/0.66 thf(func_def_291, type, sK8: ($i > $o)).
% 2.34/0.66 thf(func_def_292, type, sK9: ($i > $i)).
% 2.34/0.66 thf(func_def_293, type, sK10: (($i > $o) > $i)).
% 2.34/0.66 thf(func_def_295, type, sK12: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_304, type, sK21: ($i > $i)).
% 2.34/0.66 thf(func_def_313, type, sK30: $o).
% 2.34/0.66 thf(func_def_314, type, sK31: ($o > $i > $i > $i)).
% 2.34/0.66 thf(func_def_319, type, sK36: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_325, type, sK42: ($i > $i)).
% 2.34/0.66 thf(func_def_326, type, sK43: (($i > $i) > $i > $i > $i)).
% 2.34/0.66 thf(func_def_335, type, sK52: $o).
% 2.34/0.66 thf(func_def_339, type, sK56: (($i > $i) > $i > $i > $i)).
% 2.34/0.66 thf(func_def_342, type, sK59: ($i > $i)).
% 2.34/0.66 thf(func_def_347, type, sK64: $o).
% 2.34/0.66 thf(func_def_351, type, sK68: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_353, type, sK70: ($i > $o)).
% 2.34/0.66 thf(func_def_356, type, sK73: $o).
% 2.34/0.66 thf(func_def_360, type, sK77: ($i > $o)).
% 2.34/0.66 thf(func_def_392, type, sK109: ($i > $i)).
% 2.34/0.66 thf(func_def_393, type, sK110: ($i > $i)).
% 2.34/0.66 thf(func_def_401, type, sK118: (($i > $o) > $i)).
% 2.34/0.66 thf(func_def_402, type, sK119: ($i > $o)).
% 2.34/0.66 thf(func_def_403, type, sK120: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_410, type, sK127: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_413, type, sK130: ($i > $o)).
% 2.34/0.66 thf(func_def_429, type, sK146: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_439, type, sK156: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_440, type, sK157: $o).
% 2.34/0.66 thf(func_def_442, type, sK159: $o).
% 2.34/0.66 thf(func_def_450, type, sK167: ($i > $i)).
% 2.34/0.66 thf(func_def_457, type, sK174: ($i > $o)).
% 2.34/0.66 thf(func_def_459, type, sK176: (($i > $o) > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_460, type, sK177: (($i > $o) > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_462, type, sK179: ($i > $i)).
% 2.34/0.66 thf(func_def_463, type, sK180: ($i > $i)).
% 2.34/0.66 thf(func_def_464, type, sK181: ($i > $i)).
% 2.34/0.66 thf(func_def_465, type, sK182: ($i > $i)).
% 2.34/0.66 thf(func_def_466, type, sK183: ($i > $i)).
% 2.34/0.66 thf(func_def_467, type, sK184: ($i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_468, type, sK185: ($i > $i)).
% 2.34/0.66 thf(func_def_469, type, sK186: ($i > $i)).
% 2.34/0.66 thf(func_def_470, type, sK187: ($i > $i)).
% 2.34/0.66 thf(func_def_471, type, sK188: ($i > $i)).
% 2.34/0.66 thf(func_def_472, type, sK189: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_473, type, sK190: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_474, type, sK191: ($i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_475, type, sK192: ($i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_476, type, sK193: ($i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_477, type, sK194: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_478, type, sK195: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_479, type, sK196: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_488, type, sK205: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_489, type, sK206: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_498, type, sK215: ($i > $i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_499, type, sK216: ($i > $o)).
% 2.34/0.66 thf(func_def_507, type, sK224: (($i > $o) > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_508, type, sK225: (($i > $o) > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_509, type, sK226: ($i > $o)).
% 2.34/0.66 thf(func_def_510, type, sK227: ($i > $o)).
% 2.34/0.66 thf(func_def_516, type, sK233: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_523, type, sK240: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_525, type, sK242: $o).
% 2.34/0.66 thf(func_def_534, type, sK251: ($i > $o)).
% 2.34/0.66 thf(func_def_536, type, sK253: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_540, type, sK257: ($i > $o)).
% 2.34/0.66 thf(func_def_551, type, sK268: ($i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_552, type, sK269: ($i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_553, type, sK270: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_555, type, sK272: ($i > $o)).
% 2.34/0.66 thf(func_def_561, type, sK278: ($i > $o)).
% 2.34/0.66 thf(func_def_563, type, sK280: ($i > $o)).
% 2.34/0.66 thf(func_def_565, type, sK282: (($i > $o) > $i)).
% 2.34/0.66 thf(func_def_566, type, sK283: (($i > $o) > $i)).
% 2.34/0.66 thf(func_def_571, type, sK288: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_572, type, sK289: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_573, type, sK290: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_574, type, sK291: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_576, type, sK293: ($i > $o)).
% 2.34/0.66 thf(func_def_581, type, sK298: ($i > $o)).
% 2.34/0.66 thf(func_def_588, type, sK305: ($i > $o)).
% 2.34/0.66 thf(func_def_589, type, sK306: ($i > $o)).
% 2.34/0.66 thf(func_def_590, type, sK307: (($i > $o) > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_591, type, sK308: (($i > $o) > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_597, type, sK314: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_614, type, sK331: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_622, type, sK339: ($i > $o)).
% 2.34/0.66 thf(func_def_624, type, sK341: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_625, type, sK342: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_654, type, sK371: ($i > $o)).
% 2.34/0.66 thf(func_def_660, type, sK377: ($i > ($i > $i) > $i > $i)).
% 2.34/0.66 thf(func_def_662, type, sK379: ($i > $i)).
% 2.34/0.66 thf(func_def_669, type, sK386: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_670, type, sK387: ($i > $i)).
% 2.34/0.66 thf(func_def_671, type, sK388: ($i > $i)).
% 2.34/0.66 thf(func_def_672, type, sK389: (($i > $i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_673, type, sK390: (($i > $i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_674, type, sK391: ($i > ($i > $i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_700, type, sK417: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_706, type, sK423: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_708, type, sK425: ($i > $o)).
% 2.34/0.66 thf(func_def_722, type, sK439: $o).
% 2.34/0.66 thf(func_def_727, type, sK444: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_728, type, sK445: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_729, type, sK446: ($i > $o)).
% 2.34/0.66 thf(func_def_752, type, sK469: ($i > $o)).
% 2.34/0.66 thf(func_def_763, type, sK480: ($i > $o)).
% 2.34/0.66 thf(func_def_769, type, sK486: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_770, type, sK487: ($i > $o)).
% 2.34/0.66 thf(func_def_775, type, sK492: ($i > $i)).
% 2.34/0.66 thf(func_def_779, type, sK496: ($i > $i > ($i > $i) > $i)).
% 2.34/0.66 thf(func_def_780, type, sK497: ($i > $o)).
% 2.34/0.66 thf(func_def_783, type, sK500: ($i > $o)).
% 2.34/0.66 thf(func_def_791, type, sK508: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_792, type, sK509: ($i > $o)).
% 2.34/0.66 thf(func_def_796, type, sK513: ($i > $i)).
% 2.34/0.66 thf(func_def_799, type, sK516: $o).
% 2.34/0.66 thf(func_def_807, type, sK524: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_811, type, sK528: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_818, type, sK535: $o).
% 2.34/0.66 thf(func_def_832, type, sK549: ($i > $i)).
% 2.34/0.66 thf(func_def_835, type, sK552: ($i > ($i > $i) > $i > $i)).
% 2.34/0.66 thf(func_def_839, type, sK556: ($i > $i)).
% 2.34/0.66 thf(func_def_841, type, sK558: ($i > $o)).
% 2.34/0.66 thf(func_def_843, type, sK560: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_846, type, sK563: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_852, type, sK569: ($i > $o)).
% 2.34/0.66 thf(func_def_854, type, sK571: (($i > $o) > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_855, type, sK572: (($i > $o) > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_865, type, sK582: $o).
% 2.34/0.66 thf(func_def_879, type, sK596: $o).
% 2.34/0.66 thf(func_def_885, type, sK602: ($i > $i > ($i > $i) > $i)).
% 2.34/0.66 thf(func_def_886, type, sK603: ($i > $i)).
% 2.34/0.66 thf(func_def_898, type, sK615: $o).
% 2.34/0.66 thf(func_def_905, type, sK622: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_908, type, sK625: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 2.34/0.66 thf(func_def_909, type, sK626: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 2.34/0.66 thf(func_def_912, type, sK629: ($i > $o)).
% 2.34/0.66 thf(func_def_913, type, sK630: ($i > $o)).
% 2.34/0.66 thf(func_def_924, type, sK641: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_925, type, sK642: ($i > $i > $i > $i > $i)).
% 2.34/0.66 thf(func_def_930, type, sK647: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_934, type, sK651: $o).
% 2.34/0.66 thf(func_def_939, type, sK656: ($i > $o)).
% 2.34/0.66 thf(func_def_941, type, sK658: $o).
% 2.34/0.66 thf(func_def_947, type, sK664: ($i > $o)).
% 2.34/0.66 thf(func_def_952, type, sK669: ($i > $i > $i)).
% 2.34/0.66 thf(func_def_956, type, sK673: (($i > $o) > $i)).
% 2.34/0.66 thf(func_def_957, type, sK674: ($i > $o)).
% 2.34/0.66 thf(func_def_958, type, sK675: ($i > $i)).
% 2.34/0.66 thf(func_def_976, type, sK693: ($i > $i > $o)).
% 2.34/0.66 thf(func_def_981, type, sK698: (($i > $o) > $i > $i)).
% 2.34/0.66 thf(func_def_983, type, sK700: ($i > $o)).
% 2.34/0.66 thf(func_def_986, type, sK703: $o).
% 2.34/0.66 thf(func_def_989, type, sK706: $o).
% 2.34/0.66 thf(func_def_992, type, sK709: ($i > ($i > $o) > $i)).
% 2.34/0.66 thf(func_def_993, type, sK710: ($i > $o)).
% 2.34/0.66 thf(func_def_1001, type, sK718: ($i > $i)).
% 2.34/0.66 thf(f40,axiom,(
% 2.34/0.66 (powersetE = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ (powerset @ X0)) => ((in @ X2 @ X1) => (in @ X2 @ X0))))),
% 2.34/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE)).
% 2.34/0.66 thf(f78,axiom,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)) = subsetI1)),
% 2.34/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1)).
% 2.34/0.66 thf(f112,axiom,(
% 2.34/0.66 (binintersectSubset2 = ! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => (((binintersect @ X0 @ X1)) = X0)))),
% 2.34/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectSubset2)).
% 2.34/0.66 thf(f117,axiom,(
% 2.34/0.66 (! [X1 : $i,X0 : $i] : ((subset @ X1 @ X0) => (((binintersect @ X0 @ X1)) = X1)) = binintersectSubset4)),
% 2.34/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectSubset4)).
% 2.34/0.66 thf(f236,conjecture,(
% 2.34/0.66 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (! [X3 : $i] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (! [X3 : $i] : ((in @ X3 @ X0) => ((in @ X3 @ X2) => (in @ X3 @ X1))) => (X1 = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.34/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextT)).
% 2.34/0.66 thf(f237,negated_conjecture,(
% 2.34/0.66 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (! [X3 : $i] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (! [X3 : $i] : ((in @ X3 @ X0) => ((in @ X3 @ X2) => (in @ X3 @ X1))) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.34/0.66 inference(negated_conjecture,[status(cth)],[f236])).
% 2.34/0.66 thf(f253,plain,(
% 2.34/0.66 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => ! [X0 : $i,X1 : $i] : ((in @ X0 @ (powerset @ X1)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X1)) => (! [X3 : $i] : ((in @ X3 @ X1) => ((in @ X3 @ X0) => (in @ X3 @ X2))) => (! [X4 : $i] : ((in @ X4 @ X1) => ((in @ X4 @ X2) => (in @ X4 @ X0))) => (X0 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.34/0.66 inference(rectify,[],[f237])).
% 2.34/0.66 thf(f254,plain,(
% 2.34/0.66 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ! [X0 : $i,X1 : $i] : ((((in @ X0 @ (powerset @ X1))) = $true) => ! [X2 : $i] : (($true = ((in @ X2 @ (powerset @ X1)))) => (! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => ((((in @ X3 @ X0)) = $true) => (((in @ X3 @ X2)) = $true))) => (! [X4 : $i] : ((((in @ X4 @ X1)) = $true) => ((((in @ X4 @ X2)) = $true) => (((in @ X4 @ X0)) = $true))) => (X0 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.34/0.66 inference(fool_elimination,[],[f253])).
% 2.34/0.66 thf(f295,plain,(
% 2.34/0.66 (powersetE = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ (powerset @ X0)) => ((in @ X2 @ X1) => (in @ X2 @ X0))))),
% 2.34/0.66 inference(rectify,[],[f40])).
% 2.34/0.66 thf(f296,plain,(
% 2.34/0.66 ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X1 @ (powerset @ X0))) = $true) => ((((in @ X2 @ X1)) = $true) => (((in @ X2 @ X0)) = $true))) <=> (powersetE = $true)),
% 2.34/0.66 inference(fool_elimination,[],[f295])).
% 2.34/0.66 thf(f523,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)) = subsetI1)),
% 2.34/0.66 inference(rectify,[],[f78])).
% 2.34/0.66 thf(f524,plain,(
% 2.34/0.66 (subsetI1 = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((((in @ X2 @ X0)) = $true) => (((in @ X2 @ X1)) = $true)) => (((subset @ X0 @ X1)) = $true))),
% 2.34/0.66 inference(fool_elimination,[],[f523])).
% 2.34/0.66 thf(f554,plain,(
% 2.34/0.66 (binintersectSubset2 = ! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => (((binintersect @ X0 @ X1)) = X0)))),
% 2.34/0.66 inference(rectify,[],[f112])).
% 2.34/0.66 thf(f555,plain,(
% 2.34/0.66 (binintersectSubset2 = $true) <=> ! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) = $true) => (((binintersect @ X0 @ X1)) = X0))),
% 2.34/0.66 inference(fool_elimination,[],[f554])).
% 2.34/0.66 thf(f677,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => (((binintersect @ X1 @ X0)) = X0)) = binintersectSubset4)),
% 2.34/0.66 inference(rectify,[],[f117])).
% 2.34/0.66 thf(f678,plain,(
% 2.34/0.66 ! [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) = $true) => (((binintersect @ X1 @ X0)) = X0)) <=> (binintersectSubset4 = $true)),
% 2.34/0.66 inference(fool_elimination,[],[f677])).
% 2.34/0.66 thf(f791,plain,(
% 2.34/0.66 ! [X0 : $i,X1 : $i,X2 : $i] : (((((in @ X2 @ X0)) = $true) | (((in @ X2 @ X1)) != $true)) | (((in @ X1 @ (powerset @ X0))) != $true)) <=> (powersetE = $true)),
% 2.34/0.66 inference(ennf_transformation,[],[f296])).
% 2.34/0.66 thf(f792,plain,(
% 2.34/0.66 ! [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true) | (((in @ X1 @ (powerset @ X0))) != $true)) <=> (powersetE = $true)),
% 2.34/0.66 inference(flattening,[],[f791])).
% 2.34/0.66 thf(f804,plain,(
% 2.34/0.66 ! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (((binintersect @ X0 @ X1)) = X0)) <=> (binintersectSubset2 = $true)),
% 2.34/0.66 inference(ennf_transformation,[],[f555])).
% 2.34/0.66 thf(f829,plain,(
% 2.34/0.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (? [X2 : $i] : ((((X0 != X2) & ! [X4 : $i] : (((((in @ X4 @ X0)) = $true) | (((in @ X4 @ X2)) != $true)) | (((in @ X4 @ X1)) != $true))) & ! [X3 : $i] : (((((in @ X3 @ X2)) = $true) | (((in @ X3 @ X0)) != $true)) | (((in @ X3 @ X1)) != $true))) & ($true = ((in @ X2 @ (powerset @ X1))))) & (((in @ X0 @ (powerset @ X1))) = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 2.34/0.66 inference(ennf_transformation,[],[f254])).
% 2.34/0.66 thf(f830,plain,(
% 2.34/0.66 (setunion__Cong = $true) & (binintersectLsub = $true) & (upairequniteq = $true) & (quantDeMorgan3 = $true) & (binunionEcases = $true) & (upairsetE = $true) & (quantDeMorgan2 = $true) & (binintersectSubset1 = $true) & (setoftrueEq = $true) & (setukpairinjL = $true) & (setukpairIL = $true) & (secondinupair = $true) & (omega__Cong = $true) & (lam2p = $true) & (exu__Cong = $true) & (subsetRefl = $true) & (ex1I = $true) & (ubforcartprodlem1 = $true) & (theprop = $true) & (upairsetIL = $true) & (emptysetimpfalse = $true) & (powerset__Cong = $true) & (singletonsuniq = $true) & (binunionRsub = $true) & (notdexE = $true) & (beta1 = $true) & (subsetE2 = $true) & (lamp = $true) & (nonemptyE1 = $true) & (omega0Ax = $true) & (exuE2 = $true) & (singletonsswitch = $true) & (omegaSAx = $true) & (symdiffI1 = $true) & (funcGraphProp4 = $true) & (dsetconstrEL = $true) & (cartprodmempaircEq = $true) & (upairset2E = $true) & (binintersectER = $true) & (setunionE2 = $true) & (prop2setE = $true) & (subbreln = $true) & (prop2set2propI = $true) & (brelnall2 = $true) & (setOfPairsIsBReln = $true) & (funcext = $true) & (symdiffE = $true) & (iffalseProp1 = $true) & (setminusSubset2 = $true) & (subsetI2 = $true) & (setadjoinIL = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (dpsetconstrERa = $true) & (uniqinunit = $true) & (descrp = $true) & (cartprodmempair1 = $true) & (binunionLsub = $true) & (emptyE1 = $true) & (subsetE = $true) & (setukpairinjL2 = $true) & (infuncsetfunc = $true) & (setadjoin__Cong = $true) & (upairset2IR = $true) & (dpsetconstrER = $true) & (inPowerset = $true) & (emptysetE = $true) & (cartprodpairin = $true) & (cartprodfstin = $true) & (powersetsubset = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (setadjoinAx = $true) & (ex1E1 = $true) & (setukpairinjR = $true) & (binintersectSubset5 = $true) & (vacuousDall = $true) & (apProp = $true) & (sepSubset = $true) & (binintersectEL = $true) & (binintersectSubset3 = $true) & (setunionsingleton2 = $true) & (setunionsingleton = $true) & (setukpairIR = $true) & (ap2p = $true) & (upairsubunion = $true) & (setminusER = $true) & (setukpairinjR12 = $true) & (emptysetAx = $true) & (dpsetconstrEL1 = $true) & (notinsingleton = $true) & (dsetconstrI = $true) & (setminusIRneg = $true) & (cartprodsndin = $true) & (singletonprop = $true) & (binintersectSubset2 = $true) & (eta2 = $true) & (subset2powerset = $true) & (dpsetconstrSub = $true) & (eta1 = $true) & (setminusEL = $true) & (ap2apEq2 = $true) & (notequalI2 = $true) & (binunionE = $true) & (notequalI1 = $true) & (iftrue = $true) & (iftrueProp2 = $true) & ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (! [X3 : $i] : ((((in @ X3 @ X2)) = $true) | (((in @ X3 @ X1)) != $true) | (((in @ X3 @ X0)) != $true)) & ! [X4 : $i] : ((((in @ X4 @ X2)) != $true) | (((in @ X4 @ X1)) != $true) | (((in @ X4 @ X0)) = $true)) & ($true = ((in @ X2 @ (powerset @ X1)))) & (X0 != X2)) & (((in @ X0 @ (powerset @ X1))) = $true)) & (beta2 = $true) & (setminusLsub = $true) & (dsetconstrER = $true) & (setminusSubset1 = $true) & (funcGraphProp1 = $true) & (setbeta = $true) & (ksndpairEq = $true) & (dpsetconstrEL2 = $true) & (kfstpairEq = $true) & (setunionE = $true) & (kfstsingleton = $true) & (binunionIR = $true) & (ifp = $true) & (ifSingleton = $true) & (setext = $true) & (binunionIL = $true) & (setunionI = $true) & (notdallE = $true) & (eqinunit = $true) & (symdiffIneg1 = $true) & (emptyinPowerset = $true) & (nonemptyImpWitness = $true) & (setminusERneg = $true) & (symdiffIneg2 = $true) & (iftrueProp1 = $true) & (funcinfuncset = $true) & (singletoninpowerset = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (iffalseProp2 = $true) & (powersetI = $true) & (disjointsetsI1 = $true) & (eqimpsubset2 = $true) & (app = $true) & (notsubsetI = $true) & (kpairsurjEq = $true) & (exuI1 = $true) & (upairsetIR = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR1 = $true) & (cartprodfstpairEq = $true) & (cartprodpairmemER = $true) & (quantDeMorgan1 = $true) & (ap2apEq1 = $true) & (prop2setI = $true) & (funcext2 = $true) & (symdiffI2 = $true) & (inCongP = $true) & (binintersectT_lem = $true) & (powersetE1 = $true) & (ksndsingleton = $true) & (wellorderingAx = $true) & (sepInPowerset = $true) & (kpairp = $true) & (notinemptyset = $true) & (singletoninpowunion = $true) & (bs114d = $true) & (omegaIndAx = $true) & (funcextLem = $true) & (powersetT_lem = $true) & (ubforcartprodlem3 = $true) & (exuE3e = $true) & (setunionAx = $true) & (setminusT_lem = $true) & (cartprodsndpairEq = $true) & (ex1I2 = $true) & (brelnall1 = $true) & (setukpairinjL1 = $true) & (exuE3u = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (descr__Cong = $true) & (singletonsubset = $true) & (eqimpsubset1 = $true) & (dpsetconstrI = $true) & (dsetconstr__Cong = $true) & (setminusI = $true) & (iffalse = $true) & (in__Cong = $true) & (upairinpowunion = $true) & (setunionsingleton1 = $true) & (quantDeMorgan4 = $true) & (lam2lamEq = $true) & (nonemptyI1 = $true) & (lamProp = $true) & (nonemptyI = $true) & (subPowSU = $true) & (kpairiskpair = $true) & (setextAx = $true) & (exuI3 = $true) & (setukpairinjR2 = $true) & (binintersectI = $true) & (setminusILneg = $true) & (exuEu = $true) & (ubforcartprodlem2 = $true) & (emptyset__Cong = $true) & (funcImageSingleton = $true) & (complementT_lem = $true) & (binunionT_lem = $true) & (iftrueorfalse = $true) & (emptysetsubset = $true) & (ex1E2 = $true) & (funcGraphProp2 = $true) & (exuE1 = $true) & (subsetI1 = $true) & (setadjoinSub2 = $true) & (cartprodpairmemEL = $true) & (emptyInPowerset = $true) & (cartprodpairsurjEq = $true) & (setadjoinIR = $true) & (powersetAx = $true) & (setextsub = $true) & (setadjoinE = $true) & (theeq = $true) & (eqbreln = $true) & (setadjoinOr = $true) & (replAx = $true) & (powersetI1 = $true) & (exuI2 = $true) & (foundationAx = $true) & (powersetE = $true) & (subsetTrans = $true) & (funcGraphProp3 = $true) & (setminusELneg = $true)),
% 2.34/0.66 inference(flattening,[],[f829])).
% 2.34/0.66 thf(f904,plain,(
% 2.34/0.66 (binintersectSubset4 = $true) <=> ! [X1 : $i,X0 : $i] : ((((binintersect @ X1 @ X0)) = X0) | (((subset @ X0 @ X1)) != $true))),
% 2.34/0.66 inference(ennf_transformation,[],[f678])).
% 2.34/0.66 thf(f951,plain,(
% 2.34/0.66 ! [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X2 @ X1)) != $true))) <=> (subsetI1 = $true)),
% 2.34/0.66 inference(ennf_transformation,[],[f524])).
% 2.34/0.66 thf(f1015,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (((binintersect @ X0 @ X1)) = X0)) | (binintersectSubset2 != $true)) & ((binintersectSubset2 = $true) | ? [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) = $true) & (((binintersect @ X0 @ X1)) != X0)))),
% 2.34/0.66 inference(nnf_transformation,[],[f804])).
% 2.34/0.66 thf(f1016,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (((binintersect @ X0 @ X1)) = X0)) | (binintersectSubset2 != $true)) & ((binintersectSubset2 = $true) | ? [X2 : $i,X3 : $i] : ((((subset @ X2 @ X3)) = $true) & (((binintersect @ X2 @ X3)) != X2)))),
% 2.34/0.66 inference(rectify,[],[f1015])).
% 2.34/0.66 thf(f1017,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (((binintersect @ X0 @ X1)) = X0)) | (binintersectSubset2 != $true)) & ((binintersectSubset2 = $true) | (($true = ((subset @ sK26 @ sK27))) & (sK26 != ((binintersect @ sK26 @ sK27)))))),
% 2.34/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X2,sK26),skolemize(X3,sK27)],[f1016])).
% 2.34/0.66 thf(f1045,plain,(
% 2.34/0.66 (! [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true) | (((in @ X1 @ (powerset @ X0))) != $true)) | (powersetE != $true)) & ((powersetE = $true) | ? [X1 : $i,X0 : $i,X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true) & (((in @ X1 @ (powerset @ X0))) = $true)))),
% 2.34/0.66 inference(nnf_transformation,[],[f792])).
% 2.34/0.66 thf(f1046,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X2 @ X1)) = $true) | (((in @ X0 @ (powerset @ X1))) != $true)) | (powersetE != $true)) & ((powersetE = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X5 @ X3))) & ($true != ((in @ X5 @ X4))) & ($true = ((in @ X3 @ (powerset @ X4))))))),
% 2.34/0.66 inference(rectify,[],[f1045])).
% 2.34/0.66 thf(f1047,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X2 @ X1)) = $true) | (((in @ X0 @ (powerset @ X1))) != $true)) | (powersetE != $true)) & ((powersetE = $true) | ((((in @ sK55 @ sK53)) = $true) & ($true != ((in @ sK55 @ sK54))) & ($true = ((in @ sK53 @ (powerset @ sK54))))))),
% 2.34/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55]),skolemize(X3,sK53),skolemize(X4,sK54),skolemize(X5,sK55)],[f1046])).
% 2.34/0.66 thf(f1138,plain,(
% 2.34/0.66 (setunion__Cong = $true) & (binintersectLsub = $true) & (upairequniteq = $true) & (quantDeMorgan3 = $true) & (binunionEcases = $true) & (upairsetE = $true) & (quantDeMorgan2 = $true) & (binintersectSubset1 = $true) & (setoftrueEq = $true) & (setukpairinjL = $true) & (setukpairIL = $true) & (secondinupair = $true) & (omega__Cong = $true) & (lam2p = $true) & (exu__Cong = $true) & (subsetRefl = $true) & (ex1I = $true) & (ubforcartprodlem1 = $true) & (theprop = $true) & (upairsetIL = $true) & (emptysetimpfalse = $true) & (powerset__Cong = $true) & (singletonsuniq = $true) & (binunionRsub = $true) & (notdexE = $true) & (beta1 = $true) & (subsetE2 = $true) & (lamp = $true) & (nonemptyE1 = $true) & (omega0Ax = $true) & (exuE2 = $true) & (singletonsswitch = $true) & (omegaSAx = $true) & (symdiffI1 = $true) & (funcGraphProp4 = $true) & (dsetconstrEL = $true) & (cartprodmempaircEq = $true) & (upairset2E = $true) & (binintersectER = $true) & (setunionE2 = $true) & (prop2setE = $true) & (subbreln = $true) & (prop2set2propI = $true) & (brelnall2 = $true) & (setOfPairsIsBReln = $true) & (funcext = $true) & (symdiffE = $true) & (iffalseProp1 = $true) & (setminusSubset2 = $true) & (subsetI2 = $true) & (setadjoinIL = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (dpsetconstrERa = $true) & (uniqinunit = $true) & (descrp = $true) & (cartprodmempair1 = $true) & (binunionLsub = $true) & (emptyE1 = $true) & (subsetE = $true) & (setukpairinjL2 = $true) & (infuncsetfunc = $true) & (setadjoin__Cong = $true) & (upairset2IR = $true) & (dpsetconstrER = $true) & (inPowerset = $true) & (emptysetE = $true) & (cartprodpairin = $true) & (cartprodfstin = $true) & (powersetsubset = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (setadjoinAx = $true) & (ex1E1 = $true) & (setukpairinjR = $true) & (binintersectSubset5 = $true) & (vacuousDall = $true) & (apProp = $true) & (sepSubset = $true) & (binintersectEL = $true) & (binintersectSubset3 = $true) & (setunionsingleton2 = $true) & (setunionsingleton = $true) & (setukpairIR = $true) & (ap2p = $true) & (upairsubunion = $true) & (setminusER = $true) & (setukpairinjR12 = $true) & (emptysetAx = $true) & (dpsetconstrEL1 = $true) & (notinsingleton = $true) & (dsetconstrI = $true) & (setminusIRneg = $true) & (cartprodsndin = $true) & (singletonprop = $true) & (binintersectSubset2 = $true) & (eta2 = $true) & (subset2powerset = $true) & (dpsetconstrSub = $true) & (eta1 = $true) & (setminusEL = $true) & (ap2apEq2 = $true) & (notequalI2 = $true) & (binunionE = $true) & (notequalI1 = $true) & (iftrue = $true) & (iftrueProp2 = $true) & ((! [X3 : $i] : ((((in @ X3 @ sK137)) = $true) | ($true != ((in @ X3 @ sK136))) | ($true != ((in @ X3 @ sK135)))) & ! [X4 : $i] : (($true != ((in @ X4 @ sK137))) | ($true != ((in @ X4 @ sK136))) | ($true = ((in @ X4 @ sK135)))) & (((in @ sK137 @ (powerset @ sK136))) = $true) & (sK135 != sK137)) & (((in @ sK135 @ (powerset @ sK136))) = $true)) & (beta2 = $true) & (setminusLsub = $true) & (dsetconstrER = $true) & (setminusSubset1 = $true) & (funcGraphProp1 = $true) & (setbeta = $true) & (ksndpairEq = $true) & (dpsetconstrEL2 = $true) & (kfstpairEq = $true) & (setunionE = $true) & (kfstsingleton = $true) & (binunionIR = $true) & (ifp = $true) & (ifSingleton = $true) & (setext = $true) & (binunionIL = $true) & (setunionI = $true) & (notdallE = $true) & (eqinunit = $true) & (symdiffIneg1 = $true) & (emptyinPowerset = $true) & (nonemptyImpWitness = $true) & (setminusERneg = $true) & (symdiffIneg2 = $true) & (iftrueProp1 = $true) & (funcinfuncset = $true) & (singletoninpowerset = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (iffalseProp2 = $true) & (powersetI = $true) & (disjointsetsI1 = $true) & (eqimpsubset2 = $true) & (app = $true) & (notsubsetI = $true) & (kpairsurjEq = $true) & (exuI1 = $true) & (upairsetIR = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR1 = $true) & (cartprodfstpairEq = $true) & (cartprodpairmemER = $true) & (quantDeMorgan1 = $true) & (ap2apEq1 = $true) & (prop2setI = $true) & (funcext2 = $true) & (symdiffI2 = $true) & (inCongP = $true) & (binintersectT_lem = $true) & (powersetE1 = $true) & (ksndsingleton = $true) & (wellorderingAx = $true) & (sepInPowerset = $true) & (kpairp = $true) & (notinemptyset = $true) & (singletoninpowunion = $true) & (bs114d = $true) & (omegaIndAx = $true) & (funcextLem = $true) & (powersetT_lem = $true) & (ubforcartprodlem3 = $true) & (exuE3e = $true) & (setunionAx = $true) & (setminusT_lem = $true) & (cartprodsndpairEq = $true) & (ex1I2 = $true) & (brelnall1 = $true) & (setukpairinjL1 = $true) & (exuE3u = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (descr__Cong = $true) & (singletonsubset = $true) & (eqimpsubset1 = $true) & (dpsetconstrI = $true) & (dsetconstr__Cong = $true) & (setminusI = $true) & (iffalse = $true) & (in__Cong = $true) & (upairinpowunion = $true) & (setunionsingleton1 = $true) & (quantDeMorgan4 = $true) & (lam2lamEq = $true) & (nonemptyI1 = $true) & (lamProp = $true) & (nonemptyI = $true) & (subPowSU = $true) & (kpairiskpair = $true) & (setextAx = $true) & (exuI3 = $true) & (setukpairinjR2 = $true) & (binintersectI = $true) & (setminusILneg = $true) & (exuEu = $true) & (ubforcartprodlem2 = $true) & (emptyset__Cong = $true) & (funcImageSingleton = $true) & (complementT_lem = $true) & (binunionT_lem = $true) & (iftrueorfalse = $true) & (emptysetsubset = $true) & (ex1E2 = $true) & (funcGraphProp2 = $true) & (exuE1 = $true) & (subsetI1 = $true) & (setadjoinSub2 = $true) & (cartprodpairmemEL = $true) & (emptyInPowerset = $true) & (cartprodpairsurjEq = $true) & (setadjoinIR = $true) & (powersetAx = $true) & (setextsub = $true) & (setadjoinE = $true) & (theeq = $true) & (eqbreln = $true) & (setadjoinOr = $true) & (replAx = $true) & (powersetI1 = $true) & (exuI2 = $true) & (foundationAx = $true) & (powersetE = $true) & (subsetTrans = $true) & (funcGraphProp3 = $true) & (setminusELneg = $true)),
% 2.34/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK135,sK136,sK137]),skolemize(X0,sK135),skolemize(X1,sK136),skolemize(X2,sK137)],[f830])).
% 2.34/0.66 thf(f1395,plain,(
% 2.34/0.66 (! [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & (((in @ X2 @ X1)) != $true))) | (subsetI1 != $true)) & ((subsetI1 = $true) | ? [X1 : $i,X0 : $i] : ((((subset @ X0 @ X1)) != $true) & ! [X2 : $i] : ((((in @ X2 @ X0)) != $true) | (((in @ X2 @ X1)) = $true))))),
% 2.34/0.66 inference(nnf_transformation,[],[f951])).
% 2.34/0.66 thf(f1396,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true))) | (subsetI1 != $true)) & ((subsetI1 = $true) | ? [X3 : $i,X4 : $i] : (($true != ((subset @ X4 @ X3))) & ! [X5 : $i] : (($true != ((in @ X5 @ X4))) | ($true = ((in @ X5 @ X3))))))),
% 2.34/0.66 inference(rectify,[],[f1395])).
% 2.34/0.66 thf(f1397,plain,(
% 2.34/0.66 (! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) = $true) | (($true = ((in @ (sK417 @ X1 @ X0) @ X1))) & ($true != ((in @ (sK417 @ X1 @ X0) @ X0))))) | (subsetI1 != $true)) & ((subsetI1 = $true) | (($true != ((subset @ sK419 @ sK418))) & ! [X5 : $i] : (($true != ((in @ X5 @ sK419))) | ($true = ((in @ X5 @ sK418))))))),
% 2.34/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK418,sK419]),skolemize(X4,sK10 @ X3),skolemize(X3,sK418),skolemize(X4,sK419)],[f1396])).
% 2.34/0.66 thf(f1410,plain,(
% 2.34/0.66 ((binintersectSubset4 = $true) | ? [X1 : $i,X0 : $i] : ((((binintersect @ X1 @ X0)) != X0) & (((subset @ X0 @ X1)) = $true))) & (! [X1 : $i,X0 : $i] : ((((binintersect @ X1 @ X0)) = X0) | (((subset @ X0 @ X1)) != $true)) | (binintersectSubset4 != $true))),
% 2.34/0.66 inference(nnf_transformation,[],[f904])).
% 2.34/0.66 thf(f1411,plain,(
% 2.34/0.66 ((binintersectSubset4 = $true) | ? [X0 : $i,X1 : $i] : ((((binintersect @ X0 @ X1)) != X1) & (((subset @ X1 @ X0)) = $true))) & (! [X2 : $i,X3 : $i] : ((((binintersect @ X2 @ X3)) = X3) | ($true != ((subset @ X3 @ X2)))) | (binintersectSubset4 != $true))),
% 2.34/0.66 inference(rectify,[],[f1410])).
% 2.34/0.66 thf(f1412,plain,(
% 2.34/0.66 ((binintersectSubset4 = $true) | ((((binintersect @ sK432 @ sK433)) != sK433) & ($true = ((subset @ sK433 @ sK432))))) & (! [X2 : $i,X3 : $i] : ((((binintersect @ X2 @ X3)) = X3) | ($true != ((subset @ X3 @ X2)))) | (binintersectSubset4 != $true))),
% 2.34/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK432,sK433]),skolemize(X0,sK432),skolemize(X1,sK433)],[f1411])).
% 2.34/0.66 thf(f1714,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (binintersectSubset2 != $true) | (((binintersect @ X0 @ X1)) = X0)) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1017])).
% 2.34/0.66 thf(f1761,plain,(
% 2.34/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((powersetE != $true) | (((in @ X2 @ X1)) = $true) | (((in @ X2 @ X0)) != $true) | (((in @ X0 @ (powerset @ X1))) != $true)) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1047])).
% 2.34/0.66 thf(f1870,plain,(
% 2.34/0.66 (powersetE = $true)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1886,plain,(
% 2.34/0.66 (subsetI1 = $true)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1921,plain,(
% 2.34/0.66 (binintersectSubset4 = $true)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1991,plain,(
% 2.34/0.66 (((in @ sK135 @ (powerset @ sK136))) = $true)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1992,plain,(
% 2.34/0.66 (sK135 != sK137)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1993,plain,(
% 2.34/0.66 (((in @ sK137 @ (powerset @ sK136))) = $true)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1994,plain,(
% 2.34/0.66 ( ! [X4 : $i] : (($true = ((in @ X4 @ sK135))) | ($true != ((in @ X4 @ sK136))) | ($true != ((in @ X4 @ sK137)))) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f1995,plain,(
% 2.34/0.66 ( ! [X3 : $i] : ((((in @ X3 @ sK137)) = $true) | ($true != ((in @ X3 @ sK136))) | ($true != ((in @ X3 @ sK135)))) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f2007,plain,(
% 2.34/0.66 (binintersectSubset2 = $true)),
% 2.34/0.66 inference(cnf_transformation,[],[f1138])).
% 2.34/0.66 thf(f2485,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) = $true) | (subsetI1 != $true) | ($true != ((in @ (sK417 @ X1 @ X0) @ X0)))) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1397])).
% 2.34/0.66 thf(f2486,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ (sK417 @ X1 @ X0) @ X1))) | (((subset @ X1 @ X0)) = $true) | (subsetI1 != $true)) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1397])).
% 2.34/0.66 thf(f2501,plain,(
% 2.34/0.66 ( ! [X2 : $i,X3 : $i] : ((((binintersect @ X2 @ X3)) = X3) | (binintersectSubset4 != $true) | ($true != ((subset @ X3 @ X2)))) )),
% 2.34/0.66 inference(cnf_transformation,[],[f1412])).
% 2.34/0.66 thf(f3671,definition,(
% 2.34/0.66 spl719_132 <=> (binintersectSubset2 = $true)),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_132])],[avatar_definition])).
% 2.34/0.66 thf(f3733,definition,(
% 2.34/0.66 spl719_146 <=> ! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (((subset @ X1 @ X0)) != $true) | (X0 = X1))),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_146])],[avatar_definition])).
% 2.34/0.66 thf(f3734,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) != $true) | (X0 = X1) | (((subset @ X0 @ X1)) != $true)) ) | ~spl719_146),
% 2.34/0.66 inference(avatar_component_clause,[],[f3733])).
% 2.34/0.66 thf(f4535,definition,(
% 2.34/0.66 spl719_324 <=> ! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) = $true) | ($true != ((in @ (sK417 @ X1 @ X0) @ X0))))),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_324])],[avatar_definition])).
% 2.34/0.66 thf(f4536,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : (($true != ((in @ (sK417 @ X1 @ X0) @ X0))) | (((subset @ X1 @ X0)) = $true)) ) | ~spl719_324),
% 2.34/0.66 inference(avatar_component_clause,[],[f4535])).
% 2.34/0.66 thf(f4538,definition,(
% 2.34/0.66 spl719_325 <=> (subsetI1 = $true)),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_325])],[avatar_definition])).
% 2.34/0.66 thf(f4541,plain,(
% 2.34/0.66 spl719_324 | ~spl719_325),
% 2.34/0.66 inference(avatar_split_clause,[],[f2485,f4538,f4535])).
% 2.34/0.66 thf(f4864,definition,(
% 2.34/0.66 spl719_395 <=> (((in @ sK135 @ (powerset @ sK136))) = $true)),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_395])],[avatar_definition])).
% 2.34/0.66 thf(f4866,plain,(
% 2.34/0.66 (((in @ sK135 @ (powerset @ sK136))) = $true) | ~spl719_395),
% 2.34/0.66 inference(avatar_component_clause,[],[f4864])).
% 2.34/0.66 thf(f4867,plain,(
% 2.34/0.66 spl719_395),
% 2.34/0.66 inference(avatar_split_clause,[],[f1991,f4864])).
% 2.34/0.66 thf(f5046,definition,(
% 2.34/0.66 spl719_433 <=> (powersetE = $true)),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_433])],[avatar_definition])).
% 2.34/0.66 thf(f5305,definition,(
% 2.34/0.66 spl719_487 <=> ! [X0 : $i,X1 : $i] : (($true = ((in @ (sK417 @ X1 @ X0) @ X1))) | (((subset @ X1 @ X0)) = $true))),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_487])],[avatar_definition])).
% 2.34/0.66 thf(f5306,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : (($true = ((in @ (sK417 @ X1 @ X0) @ X1))) | (((subset @ X1 @ X0)) = $true)) ) | ~spl719_487),
% 2.34/0.66 inference(avatar_component_clause,[],[f5305])).
% 2.34/0.66 thf(f5307,plain,(
% 2.34/0.66 ~spl719_325 | spl719_487),
% 2.34/0.66 inference(avatar_split_clause,[],[f2486,f5305,f4538])).
% 2.34/0.66 thf(f5961,definition,(
% 2.34/0.66 spl719_625 <=> ! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (((binintersect @ X0 @ X1)) = X0))),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_625])],[avatar_definition])).
% 2.34/0.66 thf(f5962,plain,(
% 2.34/0.66 ( ! [X0 : $i,X1 : $i] : ((((binintersect @ X0 @ X1)) = X0) | (((subset @ X0 @ X1)) != $true)) ) | ~spl719_625),
% 2.34/0.66 inference(avatar_component_clause,[],[f5961])).
% 2.34/0.66 thf(f5963,plain,(
% 2.34/0.66 ~spl719_132 | spl719_625),
% 2.34/0.66 inference(avatar_split_clause,[],[f1714,f5961,f3671])).
% 2.34/0.66 thf(f6154,definition,(
% 2.34/0.66 spl719_667 <=> (binintersectSubset4 = $true)),
% 2.34/0.66 introduced(definition,[new_symbols(definition,[spl719_667])],[avatar_definition])).
% 2.34/0.66 thf(f6269,definition,(
% 2.34/0.67 spl719_691 <=> ! [X6 : $i,X4 : $i,X5 : $i] : ((((in @ X6 @ X4)) != $true) | ($true != ((in @ X4 @ (powerset @ X5)))) | (((in @ X6 @ X5)) = $true))),
% 2.34/0.67 introduced(definition,[new_symbols(definition,[spl719_691])],[avatar_definition])).
% 2.34/0.67 thf(f6270,plain,(
% 2.34/0.67 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true != ((in @ X4 @ (powerset @ X5)))) | (((in @ X6 @ X4)) != $true) | (((in @ X6 @ X5)) = $true)) ) | ~spl719_691),
% 2.34/0.67 inference(avatar_component_clause,[],[f6269])).
% 2.34/0.67 thf(f6429,definition,(
% 2.34/0.67 spl719_724 <=> ! [X2 : $i,X3 : $i] : ((((binintersect @ X2 @ X3)) = X3) | ($true != ((subset @ X3 @ X2))))),
% 2.34/0.67 introduced(definition,[new_symbols(definition,[spl719_724])],[avatar_definition])).
% 2.34/0.67 thf(f6430,plain,(
% 2.34/0.67 ( ! [X2 : $i,X3 : $i] : ((((binintersect @ X2 @ X3)) = X3) | ($true != ((subset @ X3 @ X2)))) ) | ~spl719_724),
% 2.34/0.67 inference(avatar_component_clause,[],[f6429])).
% 2.34/0.67 thf(f6431,plain,(
% 2.34/0.67 ~spl719_667 | spl719_724),
% 2.34/0.67 inference(avatar_split_clause,[],[f2501,f6429,f6154])).
% 2.34/0.67 thf(f6526,definition,(
% 2.34/0.67 spl719_745 <=> (sK135 = sK137)),
% 2.34/0.67 introduced(definition,[new_symbols(definition,[spl719_745])],[avatar_definition])).
% 2.34/0.67 thf(f6528,plain,(
% 2.34/0.67 (sK135 != sK137) | spl719_745),
% 2.34/0.67 inference(avatar_component_clause,[],[f6526])).
% 2.34/0.67 thf(f6529,plain,(
% 2.34/0.67 ~spl719_745),
% 2.34/0.67 inference(avatar_split_clause,[],[f1992,f6526])).
% 2.34/0.67 thf(f6883,plain,(
% 2.34/0.67 spl719_325),
% 2.34/0.67 inference(avatar_split_clause,[],[f1886,f4538])).
% 2.34/0.67 thf(f7021,definition,(
% 2.34/0.67 spl719_849 <=> (((in @ sK137 @ (powerset @ sK136))) = $true)),
% 2.34/0.67 introduced(definition,[new_symbols(definition,[spl719_849])],[avatar_definition])).
% 2.34/0.67 thf(f7023,plain,(
% 2.34/0.67 (((in @ sK137 @ (powerset @ sK136))) = $true) | ~spl719_849),
% 2.34/0.67 inference(avatar_component_clause,[],[f7021])).
% 2.34/0.67 thf(f7024,plain,(
% 2.34/0.67 spl719_849),
% 2.34/0.67 inference(avatar_split_clause,[],[f1993,f7021])).
% 2.34/0.67 thf(f7221,plain,(
% 2.34/0.67 spl719_132),
% 2.34/0.67 inference(avatar_split_clause,[],[f2007,f3671])).
% 2.34/0.67 thf(f7695,plain,(
% 2.34/0.67 ~spl719_433 | spl719_691),
% 2.34/0.67 inference(avatar_split_clause,[],[f1761,f6269,f5046])).
% 2.34/0.67 thf(f8057,plain,(
% 2.34/0.67 spl719_667),
% 2.34/0.67 inference(avatar_split_clause,[],[f1921,f6154])).
% 2.34/0.67 thf(f8247,plain,(
% 2.34/0.67 spl719_433),
% 2.34/0.67 inference(avatar_split_clause,[],[f1870,f5046])).
% 2.34/0.67 thf(f8823,plain,(
% 2.34/0.67 ( ! [X0 : $i,X1 : $i] : ((((subset @ X0 @ X1)) != $true) | (X0 = X1) | (((subset @ X1 @ X0)) != $true)) ) | (~spl719_625 | ~spl719_724)),
% 2.34/0.67 inference(superposition,[],[f5962,f6430])).
% 2.34/0.67 thf(f8826,plain,(
% 2.34/0.67 spl719_146 | ~spl719_625 | ~spl719_724),
% 2.34/0.67 inference(avatar_split_clause,[],[f8823,f6429,f5961,f3733])).
% 2.34/0.67 thf(f9252,plain,(
% 2.34/0.67 ( ! [X0 : $i] : ((((in @ (sK417 @ X0 @ sK135) @ sK137)) != $true) | ($true = ((subset @ X0 @ sK135))) | ($true != ((in @ (sK417 @ X0 @ sK135) @ sK136))) | ($true != $true)) ) | ~spl719_324),
% 2.34/0.67 inference(superposition,[],[f4536,f1994])).
% 2.34/0.67 thf(f9253,plain,(
% 2.34/0.67 ( ! [X0 : $i] : ((((subset @ X0 @ sK137)) = $true) | (((in @ (sK417 @ X0 @ sK137) @ sK135)) != $true) | ($true != ((in @ (sK417 @ X0 @ sK137) @ sK136))) | ($true != $true)) ) | ~spl719_324),
% 2.34/0.67 inference(superposition,[],[f4536,f1995])).
% 2.34/0.67 thf(f9255,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true != ((in @ (sK417 @ X0 @ sK137) @ sK136))) | (((subset @ X0 @ sK137)) = $true) | (((in @ (sK417 @ X0 @ sK137) @ sK135)) != $true)) ) | ~spl719_324),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f9253])).
% 2.34/0.67 thf(f9258,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true != ((in @ (sK417 @ X0 @ sK135) @ sK136))) | ($true = ((subset @ X0 @ sK135))) | (((in @ (sK417 @ X0 @ sK135) @ sK137)) != $true)) ) | ~spl719_324),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f9252])).
% 2.34/0.67 thf(f10346,definition,(
% 2.34/0.67 spl719_1201 <=> ($true = ((subset @ sK137 @ sK135)))),
% 2.34/0.67 introduced(definition,[new_symbols(definition,[spl719_1201])],[avatar_definition])).
% 2.34/0.67 thf(f10434,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK136))) | ($true != ((in @ X0 @ sK135))) | ($true != $true)) ) | (~spl719_395 | ~spl719_691)),
% 2.34/0.67 inference(superposition,[],[f6270,f4866])).
% 2.34/0.67 thf(f10435,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK136))) | ($true != $true) | ($true != ((in @ X0 @ sK137)))) ) | (~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(superposition,[],[f6270,f7023])).
% 2.34/0.67 thf(f10460,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK136))) | ($true != ((in @ X0 @ sK135)))) ) | (~spl719_395 | ~spl719_691)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f10434])).
% 2.34/0.67 thf(f10463,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true = ((in @ X0 @ sK136))) | ($true != ((in @ X0 @ sK137)))) ) | (~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f10435])).
% 2.34/0.67 thf(f10485,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true != $true) | (((subset @ X0 @ sK137)) = $true) | (((in @ (sK417 @ X0 @ sK137) @ sK135)) != $true) | (((in @ (sK417 @ X0 @ sK137) @ sK135)) != $true)) ) | (~spl719_324 | ~spl719_395 | ~spl719_691)),
% 2.34/0.67 inference(superposition,[],[f9255,f10460])).
% 2.34/0.67 thf(f10508,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true != $true) | (((in @ (sK417 @ X0 @ sK137) @ sK135)) != $true) | (((subset @ X0 @ sK137)) = $true)) ) | (~spl719_324 | ~spl719_395 | ~spl719_691)),
% 2.34/0.67 inference(duplicate_literal_removal,[],[f10485])).
% 2.34/0.67 thf(f10509,plain,(
% 2.34/0.67 ( ! [X0 : $i] : ((((in @ (sK417 @ X0 @ sK137) @ sK135)) != $true) | (((subset @ X0 @ sK137)) = $true)) ) | (~spl719_324 | ~spl719_395 | ~spl719_691)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f10508])).
% 2.34/0.67 thf(f10886,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true != $true) | ($true = ((subset @ X0 @ sK135))) | (((in @ (sK417 @ X0 @ sK135) @ sK137)) != $true) | (((in @ (sK417 @ X0 @ sK135) @ sK137)) != $true)) ) | (~spl719_324 | ~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(superposition,[],[f9258,f10463])).
% 2.34/0.67 thf(f10929,plain,(
% 2.34/0.67 ( ! [X0 : $i] : (($true != $true) | (((in @ (sK417 @ X0 @ sK135) @ sK137)) != $true) | ($true = ((subset @ X0 @ sK135)))) ) | (~spl719_324 | ~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(duplicate_literal_removal,[],[f10886])).
% 2.34/0.67 thf(f10930,plain,(
% 2.34/0.67 ( ! [X0 : $i] : ((((in @ (sK417 @ X0 @ sK135) @ sK137)) != $true) | ($true = ((subset @ X0 @ sK135)))) ) | (~spl719_324 | ~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f10929])).
% 2.34/0.67 thf(f11040,plain,(
% 2.34/0.67 ($true = ((subset @ sK135 @ sK137))) | ($true = ((subset @ sK135 @ sK137))) | ($true != $true) | (~spl719_324 | ~spl719_395 | ~spl719_487 | ~spl719_691)),
% 2.34/0.67 inference(superposition,[],[f10509,f5306])).
% 2.34/0.67 thf(f11043,plain,(
% 2.34/0.67 ($true = ((subset @ sK135 @ sK137))) | ($true != $true) | (~spl719_324 | ~spl719_395 | ~spl719_487 | ~spl719_691)),
% 2.34/0.67 inference(duplicate_literal_removal,[],[f11040])).
% 2.34/0.67 thf(f11044,plain,(
% 2.34/0.67 ($true = ((subset @ sK135 @ sK137))) | (~spl719_324 | ~spl719_395 | ~spl719_487 | ~spl719_691)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f11043])).
% 2.34/0.67 thf(f11047,definition,(
% 2.34/0.67 spl719_1228 <=> ($true = ((subset @ sK135 @ sK137)))),
% 2.34/0.67 introduced(definition,[new_symbols(definition,[spl719_1228])],[avatar_definition])).
% 2.34/0.67 thf(f11049,plain,(
% 2.34/0.67 ($true = ((subset @ sK135 @ sK137))) | ~spl719_1228),
% 2.34/0.67 inference(avatar_component_clause,[],[f11047])).
% 2.34/0.67 thf(f11050,plain,(
% 2.34/0.67 spl719_1228 | ~spl719_324 | ~spl719_395 | ~spl719_487 | ~spl719_691),
% 2.34/0.67 inference(avatar_split_clause,[],[f11044,f6269,f5305,f4864,f4535,f11047])).
% 2.34/0.67 thf(f11350,plain,(
% 2.34/0.67 ($true != $true) | ($true != ((subset @ sK137 @ sK135))) | (sK135 = sK137) | (~spl719_146 | ~spl719_1228)),
% 2.34/0.67 inference(superposition,[],[f3734,f11049])).
% 2.34/0.67 thf(f11351,plain,(
% 2.34/0.67 (sK135 = sK137) | ($true != ((subset @ sK137 @ sK135))) | (~spl719_146 | ~spl719_1228)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f11350])).
% 2.34/0.67 thf(f11352,plain,(
% 2.34/0.67 ($true != ((subset @ sK137 @ sK135))) | (~spl719_146 | spl719_745 | ~spl719_1228)),
% 2.34/0.67 inference(forward_subsumption_resolution,[],[f11351,f6528])).
% 2.34/0.67 thf(f11353,plain,(
% 2.34/0.67 ~spl719_1201 | ~spl719_146 | spl719_745 | ~spl719_1228),
% 2.34/0.67 inference(avatar_split_clause,[],[f11352,f11047,f6526,f3733,f10346])).
% 2.34/0.67 thf(f11695,plain,(
% 2.34/0.67 ($true != $true) | ($true = ((subset @ sK137 @ sK135))) | ($true = ((subset @ sK137 @ sK135))) | (~spl719_324 | ~spl719_487 | ~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(superposition,[],[f10930,f5306])).
% 2.34/0.67 thf(f11698,plain,(
% 2.34/0.67 ($true = ((subset @ sK137 @ sK135))) | ($true != $true) | (~spl719_324 | ~spl719_487 | ~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(duplicate_literal_removal,[],[f11695])).
% 2.34/0.67 thf(f11699,plain,(
% 2.34/0.67 ($true = ((subset @ sK137 @ sK135))) | (~spl719_324 | ~spl719_487 | ~spl719_691 | ~spl719_849)),
% 2.34/0.67 inference(trivial_inequality_removal,[],[f11698])).
% 2.34/0.67 thf(f11701,plain,(
% 2.34/0.67 spl719_1201 | ~spl719_324 | ~spl719_487 | ~spl719_691 | ~spl719_849),
% 2.34/0.67 inference(avatar_split_clause,[],[f11699,f7021,f6269,f5305,f4535,f10346])).
% 2.34/0.67 cnf(s231, plain, spl719_324 | ~spl719_325, inference(sat_conversion,[],[f4541])).
% 2.34/0.67 cnf(s305, plain, spl719_395, inference(sat_conversion,[],[f4867])).
% 2.34/0.67 cnf(s401, plain, ~spl719_325 | spl719_487, inference(sat_conversion,[],[f5307])).
% 2.34/0.67 cnf(s553, plain, ~spl719_132 | spl719_625, inference(sat_conversion,[],[f5963])).
% 2.34/0.67 cnf(s661, plain, ~spl719_667 | spl719_724, inference(sat_conversion,[],[f6431])).
% 2.34/0.67 cnf(s684, plain, ~spl719_745, inference(sat_conversion,[],[f6529])).
% 2.34/0.67 cnf(s770, plain, spl719_325, inference(sat_conversion,[],[f6883])).
% 2.34/0.67 cnf(s805, plain, spl719_849, inference(sat_conversion,[],[f7024])).
% 2.34/0.67 cnf(s853, plain, spl719_132, inference(sat_conversion,[],[f7221])).
% 2.34/0.67 cnf(s978, plain, ~spl719_433 | spl719_691, inference(sat_conversion,[],[f7695])).
% 2.34/0.67 cnf(s1074, plain, spl719_667, inference(sat_conversion,[],[f8057])).
% 2.34/0.67 cnf(s1121, plain, spl719_433, inference(sat_conversion,[],[f8247])).
% 2.34/0.67 cnf(s1163, plain, spl719_146 | ~spl719_625 | ~spl719_724, inference(sat_conversion,[],[f8826])).
% 2.34/0.67 cnf(s1237, plain, ~spl719_324 | ~spl719_395 | ~spl719_487 | ~spl719_691 | spl719_1228, inference(sat_conversion,[],[f11050])).
% 2.34/0.67 cnf(s1242, plain, ~spl719_146 | spl719_745 | ~spl719_1201 | ~spl719_1228, inference(sat_conversion,[],[f11353])).
% 2.34/0.67 cnf(s1243, plain, ~spl719_324 | ~spl719_487 | ~spl719_691 | ~spl719_849 | spl719_1201, inference(sat_conversion,[],[f11701])).
% 2.34/0.67 cnf(s1248, plain, spl719_691, inference(rat,[],[s978,s1121])).
% 2.34/0.67 cnf(s1288, plain, spl719_724, inference(rat,[],[s661,s1074])).
% 2.34/0.67 cnf(s1317, plain, spl719_625, inference(rat,[],[s553,s853])).
% 2.34/0.67 cnf(s1318, plain, spl719_146, inference(rat,[],[s1163,s1288,s1317])).
% 2.34/0.67 cnf(s1360, plain, spl719_487, inference(rat,[],[s401,s770])).
% 2.34/0.67 cnf(s1417, plain, spl719_324, inference(rat,[],[s231,s770])).
% 2.34/0.67 cnf(s1418, plain, spl719_1201, inference(rat,[],[s1243,s1360,s805,s1248,s1417])).
% 2.34/0.67 cnf(s1419, plain, spl719_1228, inference(rat,[],[s1237,s305,s1248,s1360,s1417])).
% 2.34/0.67 cnf(s1420, plain, $false, inference(rat,[],[s1242,s1318,s684,s1419,s1418])).
% 2.34/0.67 thf(f11702,plain,(
% 2.34/0.67 $false),
% 2.34/0.67 inference(avatar_sat_refutation,[],[s1420])).
% 2.34/0.67 % SZS output end Proof for theBenchmark
% 2.34/0.67 % (837226)------------------------------
% 2.34/0.67 % (837226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.67 % (837226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.67 % (837226)CaDiCaL version: 2.1.3
% 2.34/0.67 % (837226)Termination reason: Refutation
% 2.34/0.67 % (837226)Time elapsed: 0.322 s
% 2.34/0.67 % (837226)Peak memory usage: 21 MB
% 2.34/0.67 % (837226)Instructions burned: 609 (million)
% 2.34/0.67 % (837209)Success in time 0.372 s
% 2.34/0.67 % Vampire exiting
%------------------------------------------------------------------------------