%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU571^1 : 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 : n009.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 08:30:07 AM UTC 2026
% Result : Theorem 2.37s 0.62s
% Output : Refutation 2.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU571^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.17 % Computer : n009.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Tue Sep 29 13:51:16 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.20 Running higher-order theorem proving
% 0.05/0.21 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
% 0.21/0.35 % (4029255)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (4029271)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3963029744:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (4029273)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (4029273)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
% 0.21/0.35 % (4029271)Instruction limit reached!
% 0.21/0.35 % (4029271)------------------------------
% 0.21/0.35 % (4029271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4029271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4029271)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4029271)Termination reason: Instruction limit
% 0.21/0.35 % (4029271)Termination phase: Property scanning
% 0.21/0.35 % (4029271)Time elapsed: 0.007 s
% 0.21/0.35 % (4029271)Peak memory usage: 11 MB
% 0.21/0.35 % (4029271)Instructions burned: 25 (million)
% 0.21/0.35 % (4029267)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3468867177:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (4029269)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=836271655:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (4029268)lrs+10_16_si=on:nwc=1.5:random_seed=227649307:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (4029270)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=4042256528: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)
% 0.21/0.35 % (4029273)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=3894050260:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (4029272)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=359586003:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (4029269)Instruction limit reached!
% 0.21/0.35 % (4029269)------------------------------
% 0.21/0.35 % (4029269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4029269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4029269)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4029269)Termination reason: Instruction limit
% 0.21/0.35 % (4029269)Termination phase: shuffling
% 0.21/0.35 % (4029269)Time elapsed: 0.002 s
% 0.21/0.35 % (4029269)Peak memory usage: 10 MB
% 0.21/0.35 % (4029269)Instructions burned: 4 (million)
% 0.21/0.35 % (4029268)Instruction limit reached!
% 0.21/0.35 % (4029268)------------------------------
% 0.21/0.35 % (4029268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4029268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4029268)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4029268)Termination reason: Instruction limit
% 0.21/0.35 % (4029268)Termination phase: Property scanning
% 0.21/0.35 % (4029268)Time elapsed: 0.009 s
% 0.21/0.35 % (4029268)Peak memory usage: 10 MB
% 0.21/0.35 % (4029268)Instructions burned: 21 (million)
% 0.21/0.35 % (4029285)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3220515218:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (4029285)Instruction limit reached!
% 0.21/0.35 % (4029285)------------------------------
% 0.21/0.35 % (4029285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4029285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4029285)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4029285)Termination reason: Instruction limit
% 0.21/0.35 % (4029285)Termination phase: shuffling
% 0.21/0.35 % (4029285)Time elapsed: 0.001 s
% 0.21/0.35 % (4029285)Peak memory usage: 10 MB
% 0.21/0.35 % (4029285)Instructions burned: 5 (million)
% 0.21/0.35 % (4029291)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3193508818:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.92/0.38 % (4029294)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1674250770:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.92/0.38 % (4029291)Instruction limit reached!
% 0.92/0.38 % (4029291)------------------------------
% 0.92/0.38 % (4029291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.38 % (4029291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.38 % (4029291)CaDiCaL version: 2.1.3
% 0.92/0.38 % (4029291)Termination reason: Instruction limit
% 0.92/0.38 % (4029291)Termination phase: shuffling
% 0.92/0.38 % (4029291)Time elapsed: 0.003 s
% 0.92/0.38 % (4029291)Peak memory usage: 10 MB
% 0.92/0.38 % (4029291)Instructions burned: 6 (million)
% 0.92/0.38 % (4029294)Instruction limit reached!
% 0.92/0.38 % (4029294)------------------------------
% 0.92/0.38 % (4029294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.38 % (4029294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.38 % (4029294)CaDiCaL version: 2.1.3
% 0.92/0.38 % (4029294)Termination reason: Instruction limit
% 0.92/0.38 % (4029294)Termination phase: Property scanning
% 0.92/0.38 % (4029294)Time elapsed: 0.003 s
% 0.92/0.38 % (4029294)Peak memory usage: 10 MB
% 0.92/0.38 % (4029294)Instructions burned: 14 (million)
% 0.92/0.38 % (4029293)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.92/0.38 % (4029293)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=583423091:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.92/0.38 % (4029293)Instruction limit reached!
% 0.92/0.38 % (4029293)------------------------------
% 0.92/0.38 % (4029293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.38 % (4029293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.38 % (4029293)CaDiCaL version: 2.1.3
% 0.92/0.38 % (4029293)Termination reason: Instruction limit
% 0.92/0.38 % (4029293)Termination phase: shuffling
% 0.92/0.38 % (4029293)Time elapsed: 0.003 s
% 0.92/0.38 % (4029293)Peak memory usage: 10 MB
% 0.92/0.38 % (4029293)Instructions burned: 7 (million)
% 0.92/0.38 % (4029300)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
% 0.92/0.38 % (4029300)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.92/0.38 % (4029300)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3304823931:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.92/0.38 % (4029272)Instruction limit reached!
% 0.92/0.38 % (4029272)------------------------------
% 0.92/0.38 % (4029272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.38 % (4029272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.38 % (4029272)CaDiCaL version: 2.1.3
% 0.92/0.38 % (4029272)Termination reason: Instruction limit
% 0.92/0.38 % (4029272)Termination phase: Saturation
% 0.92/0.38 % (4029272)Time elapsed: 0.036 s
% 0.92/0.38 % (4029272)Peak memory usage: 13 MB
% 0.92/0.38 % (4029272)Instructions burned: 76 (million)
% 0.92/0.38 % (4029267)Instruction limit reached!
% 0.92/0.38 % (4029267)------------------------------
% 0.92/0.38 % (4029267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.38 % (4029267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.38 % (4029267)CaDiCaL version: 2.1.3
% 0.92/0.38 % (4029267)Termination reason: Instruction limit
% 0.92/0.38 % (4029267)Termination phase: Saturation
% 0.92/0.38 % (4029267)Time elapsed: 0.041 s
% 0.92/0.38 % (4029267)Peak memory usage: 13 MB
% 0.92/0.38 % (4029267)Instructions burned: 88 (million)
% 0.92/0.38 % (4029300)Instruction limit reached!
% 0.92/0.38 % (4029300)------------------------------
% 0.92/0.38 % (4029300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.38 % (4029300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.38 % (4029300)CaDiCaL version: 2.1.3
% 0.92/0.38 % (4029300)Termination reason: Instruction limit
% 0.92/0.41 % (4029300)Termination phase: Function definition elimination
% 0.92/0.41 % (4029300)Time elapsed: 0.006 s
% 0.92/0.41 % (4029300)Peak memory usage: 10 MB
% 0.92/0.41 % (4029300)Instructions burned: 29 (million)
% 0.92/0.41 % (4029301)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=2734615552:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.92/0.41 % (4029304)lrs+10_1_si=on:cs=on:random_seed=1600420493:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.92/0.41 % (4029309)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.92/0.41 % (4029314)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1537646779:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.92/0.41 % (4029304)Instruction limit reached!
% 0.92/0.41 % (4029304)------------------------------
% 0.92/0.41 % (4029304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.41 % (4029304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.41 % (4029304)CaDiCaL version: 2.1.3
% 0.92/0.41 % (4029304)Termination reason: Instruction limit
% 0.92/0.41 % (4029304)Termination phase: shuffling
% 0.92/0.41 % (4029304)Time elapsed: 0.004 s
% 0.92/0.41 % (4029304)Peak memory usage: 10 MB
% 0.92/0.41 % (4029304)Instructions burned: 9 (million)
% 0.92/0.41 % (4029309)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=3343240523:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.92/0.41 % (4029309)Instruction limit reached!
% 0.92/0.41 % (4029309)------------------------------
% 0.92/0.41 % (4029309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.41 % (4029309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.41 % (4029309)CaDiCaL version: 2.1.3
% 0.92/0.41 % (4029309)Termination reason: Instruction limit
% 0.92/0.41 % (4029309)Termination phase: shuffling
% 0.92/0.41 % (4029309)Time elapsed: 0.002 s
% 0.92/0.41 % (4029309)Peak memory usage: 10 MB
% 0.92/0.41 % (4029309)Instructions burned: 4 (million)
% 0.92/0.41 % (4029313)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1593091412:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.92/0.41 % (4029273)Instruction limit reached!
% 0.92/0.41 % (4029273)------------------------------
% 0.92/0.41 % (4029273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.41 % (4029273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.41 % (4029273)CaDiCaL version: 2.1.3
% 0.92/0.41 % (4029273)Termination reason: Instruction limit
% 0.92/0.41 % (4029273)Termination phase: Saturation
% 0.92/0.41 % (4029273)Time elapsed: 0.066 s
% 0.92/0.41 % (4029273)Peak memory usage: 14 MB
% 0.92/0.41 % (4029273)Instructions burned: 158 (million)
% 0.92/0.41 % (4029327)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2527650943:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.92/0.41 % (4029329)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2429275561:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.92/0.42 % (4029313)Instruction limit reached!
% 0.92/0.42 % (4029313)------------------------------
% 0.92/0.42 % (4029313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.42 % (4029313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.42 % (4029313)CaDiCaL version: 2.1.3
% 0.92/0.42 % (4029313)Termination reason: Instruction limit
% 0.92/0.42 % (4029313)Termination phase: Function definition elimination
% 0.92/0.42 % (4029313)Time elapsed: 0.018 s
% 0.92/0.42 % (4029313)Peak memory usage: 11 MB
% 0.92/0.42 % (4029313)Instructions burned: 39 (million)
% 0.92/0.42 % (4029301)Instruction limit reached!
% 0.92/0.42 % (4029301)------------------------------
% 0.92/0.42 % (4029301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.42 % (4029301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.42 % (4029301)CaDiCaL version: 2.1.3
% 0.92/0.42 % (4029301)Termination reason: Instruction limit
% 0.92/0.46 % (4029301)Termination phase: Saturation
% 0.92/0.46 % (4029301)Time elapsed: 0.037 s
% 0.92/0.46 % (4029301)Peak memory usage: 13 MB
% 0.92/0.46 % (4029301)Instructions burned: 86 (million)
% 0.92/0.46 % (4029337)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3584424503:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.92/0.46 % (4029329)Instruction limit reached!
% 0.92/0.46 % (4029329)------------------------------
% 0.92/0.46 % (4029329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.46 % (4029329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.46 % (4029329)CaDiCaL version: 2.1.3
% 0.92/0.46 % (4029329)Termination reason: Instruction limit
% 0.92/0.46 % (4029329)Termination phase: Property scanning
% 0.92/0.46 % (4029329)Time elapsed: 0.009 s
% 0.92/0.46 % (4029329)Peak memory usage: 10 MB
% 0.92/0.46 % (4029329)Instructions burned: 21 (million)
% 0.92/0.46 % (4029327)Instruction limit reached!
% 0.92/0.46 % (4029327)------------------------------
% 0.92/0.46 % (4029327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.46 % (4029327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.46 % (4029327)CaDiCaL version: 2.1.3
% 0.92/0.46 % (4029327)Termination reason: Instruction limit
% 0.92/0.46 % (4029327)Termination phase: Preprocessing 3
% 0.92/0.46 % (4029327)Time elapsed: 0.013 s
% 0.92/0.46 % (4029327)Peak memory usage: 11 MB
% 0.92/0.46 % (4029327)Instructions burned: 26 (million)
% 0.92/0.46 % (4029350)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1083629282:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.92/0.46 % (4029351)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1027511463: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)
% 0.92/0.46 % (4029351)Instruction limit reached!
% 0.92/0.46 % (4029351)------------------------------
% 0.92/0.46 % (4029351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.46 % (4029351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.46 % (4029351)CaDiCaL version: 2.1.3
% 0.92/0.46 % (4029351)Termination reason: Instruction limit
% 0.92/0.46 % (4029351)Termination phase: shuffling
% 0.92/0.46 % (4029351)Time elapsed: 0.002 s
% 0.92/0.46 % (4029351)Peak memory usage: 10 MB
% 0.92/0.46 % (4029351)Instructions burned: 4 (million)
% 0.92/0.46 % (4029354)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4088938354:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.92/0.46 % (4029356)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3100296696:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.92/0.46 % (4029350)Instruction limit reached!
% 0.92/0.46 % (4029350)------------------------------
% 0.92/0.46 % (4029350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.46 % (4029350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.46 % (4029350)CaDiCaL version: 2.1.3
% 0.92/0.46 % (4029350)Termination reason: Instruction limit
% 0.92/0.46 % (4029350)Termination phase: Property scanning
% 0.92/0.46 % (4029350)Time elapsed: 0.006 s
% 0.92/0.46 % (4029350)Peak memory usage: 10 MB
% 0.92/0.46 % (4029350)Instructions burned: 14 (million)
% 0.92/0.46 % (4029354)Instruction limit reached!
% 0.92/0.46 % (4029354)------------------------------
% 0.92/0.46 % (4029354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.46 % (4029354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.46 % (4029354)CaDiCaL version: 2.1.3
% 0.92/0.46 % (4029354)Termination reason: Instruction limit
% 0.92/0.46 % (4029354)Termination phase: Property scanning
% 0.92/0.46 % (4029354)Time elapsed: 0.012 s
% 0.92/0.46 % (4029354)Peak memory usage: 10 MB
% 0.92/0.46 % (4029354)Instructions burned: 28 (million)
% 0.92/0.46 % (4029356)Instruction limit reached!
% 0.92/0.46 % (4029356)------------------------------
% 0.92/0.46 % (4029356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.46 % (4029356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.46 % (4029356)CaDiCaL version: 2.1.3
% 0.92/0.46 % (4029356)Termination reason: Instruction limit
% 0.92/0.46 % (4029356)Termination phase: Property scanning
% 0.92/0.46 % (4029356)Time elapsed: 0.011 s
% 1.66/0.53 % (4029356)Peak memory usage: 10 MB
% 1.66/0.53 % (4029356)Instructions burned: 26 (million)
% 1.66/0.53 % (4029314)Instruction limit reached!
% 1.66/0.53 % (4029314)------------------------------
% 1.66/0.53 % (4029314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.53 % (4029314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.53 % (4029314)CaDiCaL version: 2.1.3
% 1.66/0.53 % (4029314)Termination reason: Instruction limit
% 1.66/0.53 % (4029314)Termination phase: Saturation
% 1.66/0.53 % (4029314)Time elapsed: 0.069 s
% 1.66/0.53 % (4029314)Peak memory usage: 13 MB
% 1.66/0.53 % (4029314)Instructions burned: 250 (million)
% 1.66/0.53 % (4029366)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
% 1.66/0.53 % (4029366)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.66/0.53 % (4029362)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2554727207:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.66/0.53 % (4029366)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=4007707873:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.66/0.53 % (4029370)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1880626563:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.66/0.53 % (4029366)Instruction limit reached!
% 1.66/0.53 % (4029366)------------------------------
% 1.66/0.53 % (4029366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.53 % (4029366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.53 % (4029366)CaDiCaL version: 2.1.3
% 1.66/0.53 % (4029366)Termination reason: Instruction limit
% 1.66/0.53 % (4029366)Termination phase: Property scanning
% 1.66/0.53 % (4029366)Time elapsed: 0.006 s
% 1.66/0.53 % (4029366)Peak memory usage: 10 MB
% 1.66/0.53 % (4029366)Instructions burned: 14 (million)
% 1.66/0.53 % (4029370)Instruction limit reached!
% 1.66/0.53 % (4029370)------------------------------
% 1.66/0.53 % (4029370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.53 % (4029370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.53 % (4029370)CaDiCaL version: 2.1.3
% 1.66/0.53 % (4029370)Termination reason: Instruction limit
% 1.66/0.53 % (4029370)Termination phase: shuffling
% 1.66/0.53 % (4029370)Time elapsed: 0.002 s
% 1.66/0.53 % (4029370)Peak memory usage: 10 MB
% 1.66/0.53 % (4029370)Instructions burned: 8 (million)
% 1.66/0.53 % (4029368)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.66/0.53 % (4029369)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=1767498228:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.66/0.53 % (4029368)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=857890645:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.66/0.53 % (4029375)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3528354798:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.66/0.53 % (4029368)Instruction limit reached!
% 1.66/0.53 % (4029368)------------------------------
% 1.66/0.53 % (4029368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.53 % (4029368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.53 % (4029368)CaDiCaL version: 2.1.3
% 1.66/0.53 % (4029368)Termination reason: Instruction limit
% 1.66/0.53 % (4029368)Termination phase: shuffling
% 1.66/0.53 % (4029368)Time elapsed: 0.007 s
% 1.66/0.53 % (4029368)Peak memory usage: 10 MB
% 1.66/0.53 % (4029368)Instructions burned: 8 (million)
% 1.66/0.53 % (4029375)Instruction limit reached!
% 1.66/0.53 % (4029375)------------------------------
% 1.66/0.53 % (4029375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.53 % (4029375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.59 % (4029375)CaDiCaL version: 2.1.3
% 2.37/0.59 % (4029375)Termination reason: Instruction limit
% 2.37/0.59 % (4029375)Termination phase: Property scanning
% 2.37/0.59 % (4029375)Time elapsed: 0.005 s
% 2.37/0.59 % (4029375)Peak memory usage: 11 MB
% 2.37/0.59 % (4029375)Instructions burned: 23 (million)
% 2.37/0.59 % (4029369)Instruction limit reached!
% 2.37/0.59 % (4029369)------------------------------
% 2.37/0.59 % (4029369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.59 % (4029369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.59 % (4029369)CaDiCaL version: 2.1.3
% 2.37/0.59 % (4029369)Termination reason: Instruction limit
% 2.37/0.59 % (4029369)Termination phase: Saturation
% 2.37/0.59 % (4029369)Time elapsed: 0.013 s
% 2.37/0.59 % (4029369)Peak memory usage: 11 MB
% 2.37/0.59 % (4029369)Instructions burned: 31 (million)
% 2.37/0.59 % (4029374)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4224786281:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.37/0.59 % (4029362)Instruction limit reached!
% 2.37/0.59 % (4029362)------------------------------
% 2.37/0.59 % (4029362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.59 % (4029362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.59 % (4029362)CaDiCaL version: 2.1.3
% 2.37/0.59 % (4029362)Termination reason: Instruction limit
% 2.37/0.59 % (4029362)Termination phase: Saturation
% 2.37/0.59 % (4029362)Time elapsed: 0.029 s
% 2.37/0.59 % (4029362)Peak memory usage: 12 MB
% 2.37/0.59 % (4029362)Instructions burned: 61 (million)
% 2.37/0.59 % (4029380)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=37715201:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.37/0.59 % (4029374)Instruction limit reached!
% 2.37/0.59 % (4029374)------------------------------
% 2.37/0.59 % (4029374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.59 % (4029374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.59 % (4029374)CaDiCaL version: 2.1.3
% 2.37/0.59 % (4029374)Termination reason: Instruction limit
% 2.37/0.59 % (4029374)Termination phase: Property scanning
% 2.37/0.59 % (4029374)Time elapsed: 0.010 s
% 2.37/0.59 % (4029374)Peak memory usage: 10 MB
% 2.37/0.59 % (4029374)Instructions burned: 25 (million)
% 2.37/0.59 % (4029379)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3536073454:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.37/0.59 % (4029381)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1131392302:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.37/0.59 % (4029383)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1050101074:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.37/0.59 % (4029385)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.37/0.59 % (4029385)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4202729046:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.59 % (4029385)Instruction limit reached!
% 2.37/0.59 % (4029385)------------------------------
% 2.37/0.59 % (4029385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.59 % (4029385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.59 % (4029385)CaDiCaL version: 2.1.3
% 2.37/0.59 % (4029385)Termination reason: Instruction limit
% 2.37/0.59 % (4029385)Termination phase: shuffling
% 2.37/0.59 % (4029385)Time elapsed: 0.004 s
% 2.37/0.59 % (4029385)Peak memory usage: 10 MB
% 2.37/0.59 % (4029385)Instructions burned: 7 (million)
% 2.37/0.59 % (4029383)Instruction limit reached!
% 2.37/0.59 % (4029383)------------------------------
% 2.37/0.59 % (4029383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.59 % (4029383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.59 % (4029383)CaDiCaL version: 2.1.3
% 2.37/0.59 % (4029383)Termination reason: Instruction limit
% 2.37/0.59 % (4029383)Termination phase: Saturation
% 2.37/0.59 % (4029383)Time elapsed: 0.019 s
% 2.37/0.59 % (4029383)Peak memory usage: 12 MB
% 2.37/0.59 % (4029383)Instructions burned: 43 (million)
% 2.37/0.62 % (4029380)Instruction limit reached!
% 2.37/0.62 % (4029380)------------------------------
% 2.37/0.62 % (4029380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029380)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029380)Termination reason: Instruction limit
% 2.37/0.62 % (4029380)Termination phase: Saturation
% 2.37/0.62 % (4029380)Time elapsed: 0.032 s
% 2.37/0.62 % (4029380)Peak memory usage: 14 MB
% 2.37/0.62 % (4029380)Instructions burned: 145 (million)
% 2.37/0.62 % (4029392)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.62 % (4029392)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=371911523:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.37/0.62 % (4029392)Instruction limit reached!
% 2.37/0.62 % (4029392)------------------------------
% 2.37/0.62 % (4029392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029392)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029392)Termination reason: Instruction limit
% 2.37/0.62 % (4029392)Termination phase: shuffling
% 2.37/0.62 % (4029392)Time elapsed: 0.002 s
% 2.37/0.62 % (4029392)Peak memory usage: 10 MB
% 2.37/0.62 % (4029392)Instructions burned: 9 (million)
% 2.37/0.62 % (4029390)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1226901772:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.37/0.62 % (4029391)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=540998085: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)
% 2.37/0.62 % (4029395)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=313459966:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.37/0.62 % (4029395)Instruction limit reached!
% 2.37/0.62 % (4029395)------------------------------
% 2.37/0.62 % (4029395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029395)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029395)Termination reason: Instruction limit
% 2.37/0.62 % (4029395)Termination phase: Property scanning
% 2.37/0.62 % (4029395)Time elapsed: 0.005 s
% 2.37/0.62 % (4029395)Peak memory usage: 10 MB
% 2.37/0.62 % (4029395)Instructions burned: 23 (million)
% 2.37/0.62 % (4029398)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=940704123:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.37/0.62 % (4029398)Instruction limit reached!
% 2.37/0.62 % (4029398)------------------------------
% 2.37/0.62 % (4029398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029398)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029398)Termination reason: Instruction limit
% 2.37/0.62 % (4029398)Termination phase: Preprocessing 1
% 2.37/0.62 % (4029398)Time elapsed: 0.004 s
% 2.37/0.62 % (4029398)Peak memory usage: 10 MB
% 2.37/0.62 % (4029398)Instructions burned: 19 (million)
% 2.37/0.62 % (4029400)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=1310691631:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.37/0.62 % (4029337)Instruction limit reached!
% 2.37/0.62 % (4029337)------------------------------
% 2.37/0.62 % (4029337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029337)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029337)Termination reason: Instruction limit
% 2.37/0.62 % (4029337)Termination phase: Saturation
% 2.37/0.62 % (4029337)Time elapsed: 0.167 s
% 2.37/0.62 % (4029337)Peak memory usage: 14 MB
% 2.37/0.62 % (4029337)Instructions burned: 328 (million)
% 2.37/0.62 % (4029381)Instruction limit reached!
% 2.37/0.62 % (4029381)------------------------------
% 2.37/0.62 % (4029381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029381)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029381)Termination reason: Instruction limit
% 2.37/0.62 % (4029381)Termination phase: Saturation
% 2.37/0.62 % (4029381)Time elapsed: 0.099 s
% 2.37/0.62 % (4029381)Peak memory usage: 13 MB
% 2.37/0.62 % (4029381)Instructions burned: 195 (million)
% 2.37/0.62 % (4029402)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=806640969:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.37/0.62 % (4029391)Instruction limit reached!
% 2.37/0.62 % (4029391)------------------------------
% 2.37/0.62 % (4029391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029391)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029391)Termination reason: Instruction limit
% 2.37/0.62 % (4029391)Termination phase: Saturation
% 2.37/0.62 % (4029391)Time elapsed: 0.071 s
% 2.37/0.62 % (4029391)Peak memory usage: 13 MB
% 2.37/0.62 % (4029391)Instructions burned: 172 (million)
% 2.37/0.62 % (4029403)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=4183298691: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)
% 2.37/0.62 % (4029390)Instruction limit reached!
% 2.37/0.62 % (4029390)------------------------------
% 2.37/0.62 % (4029390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029390)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029390)Termination reason: Instruction limit
% 2.37/0.62 % (4029390)Termination phase: Saturation
% 2.37/0.62 % (4029390)Time elapsed: 0.089 s
% 2.37/0.62 % (4029390)Peak memory usage: 14 MB
% 2.37/0.62 % (4029390)Instructions burned: 181 (million)
% 2.37/0.62 % (4029405)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4010104921:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.37/0.62 % (4029403)Instruction limit reached!
% 2.37/0.62 % (4029403)------------------------------
% 2.37/0.62 % (4029403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029403)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029403)Termination reason: Instruction limit
% 2.37/0.62 % (4029403)Termination phase: Property scanning
% 2.37/0.62 % (4029403)Time elapsed: 0.022 s
% 2.37/0.62 % (4029403)Peak memory usage: 12 MB
% 2.37/0.62 % (4029403)Instructions burned: 47 (million)
% 2.37/0.62 % (4029407)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=534601490: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)
% 2.37/0.62 % (4029407)Instruction limit reached!
% 2.37/0.62 % (4029407)------------------------------
% 2.37/0.62 % (4029407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029407)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029407)Termination reason: Instruction limit
% 2.37/0.62 % (4029407)Termination phase: Property scanning
% 2.37/0.62 % (4029407)Time elapsed: 0.009 s
% 2.37/0.62 % (4029407)Peak memory usage: 10 MB
% 2.37/0.62 % (4029407)Instructions burned: 22 (million)
% 2.37/0.62 % (4029409)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.62 % (4029400)Instruction limit reached!
% 2.37/0.62 % (4029400)------------------------------
% 2.37/0.62 % (4029400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029400)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029400)Termination reason: Instruction limit
% 2.37/0.62 % (4029400)Termination phase: Saturation
% 2.37/0.62 % (4029400)Time elapsed: 0.079 s
% 2.37/0.62 % (4029400)Peak memory usage: 14 MB
% 2.37/0.62 % (4029400)Instructions burned: 320 (million)
% 2.37/0.62 % (4029409)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1421700320:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.37/0.62 % (4029412)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1314734778:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.37/0.62 % (4029402) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4029255-4029402"...
% 2.37/0.62 % (4029411)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2426055097:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.37/0.62 % (4029402)...printing done.
% 2.37/0.62 % (4029270)Instruction limit reached!
% 2.37/0.62 % (4029270)------------------------------
% 2.37/0.62 % (4029270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029270)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029270)Termination reason: Instruction limit
% 2.37/0.62 % (4029270)Termination phase: Saturation
% 2.37/0.62 % (4029270)Time elapsed: 0.349 s
% 2.37/0.62 % (4029270)Peak memory usage: 18 MB
% 2.37/0.62 % (4029270)Instructions burned: 635 (million)
% 2.37/0.62 % (4029402)Refutation found. Thanks to Tanya!
% 2.37/0.62 % SZS status Theorem for theBenchmark
% 2.37/0.62 % SZS output start Proof for theBenchmark
% 2.37/0.62 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.37/0.62 thf(func_def_0, type, in: ($i > $i > $o)).
% 2.37/0.62 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 2.37/0.62 thf(func_def_3, type, setextAx: $o).
% 2.37/0.62 thf(func_def_5, type, emptysetAx: $o).
% 2.37/0.62 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_7, type, setadjoinAx: $o).
% 2.37/0.62 thf(func_def_8, type, powerset: ($i > $i)).
% 2.37/0.62 thf(func_def_9, type, powersetAx: $o).
% 2.37/0.62 thf(func_def_10, type, setunion: ($i > $i)).
% 2.37/0.62 thf(func_def_11, type, setunionAx: $o).
% 2.37/0.62 thf(func_def_13, type, omega0Ax: $o).
% 2.37/0.62 thf(func_def_14, type, omegaSAx: $o).
% 2.37/0.62 thf(func_def_15, type, omegaIndAx: $o).
% 2.37/0.62 thf(func_def_16, type, replAx: $o).
% 2.37/0.62 thf(func_def_17, type, foundationAx: $o).
% 2.37/0.62 thf(func_def_18, type, wellorderingAx: $o).
% 2.37/0.62 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 2.37/0.62 thf(func_def_20, type, descrp: $o).
% 2.37/0.62 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_22, type, dsetconstrI: $o).
% 2.37/0.62 thf(func_def_23, type, dsetconstrEL: $o).
% 2.37/0.62 thf(func_def_24, type, dsetconstrER: $o).
% 2.37/0.62 thf(func_def_25, type, exuE1: $o).
% 2.37/0.62 thf(func_def_26, type, prop2set: ($o > $i)).
% 2.37/0.62 thf(func_def_27, type, prop2setE: $o).
% 2.37/0.62 thf(func_def_28, type, emptysetE: $o).
% 2.37/0.62 thf(func_def_29, type, emptysetimpfalse: $o).
% 2.37/0.62 thf(func_def_30, type, notinemptyset: $o).
% 2.37/0.62 thf(func_def_31, type, exuE3e: $o).
% 2.37/0.62 thf(func_def_32, type, setext: $o).
% 2.37/0.62 thf(func_def_33, type, emptyI: $o).
% 2.37/0.62 thf(func_def_34, type, noeltsimpempty: $o).
% 2.37/0.62 thf(func_def_35, type, setbeta: $o).
% 2.37/0.62 thf(func_def_36, type, nonempty: ($i > $o)).
% 2.37/0.62 thf(func_def_37, type, nonemptyE1: $o).
% 2.37/0.62 thf(func_def_38, type, nonemptyI: $o).
% 2.37/0.62 thf(func_def_39, type, nonemptyI1: $o).
% 2.37/0.62 thf(func_def_40, type, setadjoinIL: $o).
% 2.37/0.62 thf(func_def_41, type, emptyinunitempty: $o).
% 2.37/0.62 thf(func_def_42, type, setadjoinIR: $o).
% 2.37/0.62 thf(func_def_43, type, setadjoinE: $o).
% 2.37/0.62 thf(func_def_44, type, setadjoinOr: $o).
% 2.37/0.62 thf(func_def_45, type, setoftrueEq: $o).
% 2.37/0.62 thf(func_def_46, type, powersetI: $o).
% 2.37/0.62 thf(func_def_47, type, emptyinPowerset: $o).
% 2.37/0.62 thf(func_def_48, type, emptyInPowerset: $o).
% 2.37/0.62 thf(func_def_49, type, powersetE: $o).
% 2.37/0.62 thf(func_def_50, type, setunionI: $o).
% 2.37/0.62 thf(func_def_51, type, setunionE: $o).
% 2.37/0.62 thf(func_def_52, type, subPowSU: $o).
% 2.37/0.62 thf(func_def_53, type, exuE2: $o).
% 2.37/0.62 thf(func_def_54, type, nonemptyImpWitness: $o).
% 2.37/0.62 thf(func_def_55, type, uniqinunit: $o).
% 2.37/0.62 thf(func_def_56, type, notinsingleton: $o).
% 2.37/0.62 thf(func_def_57, type, eqinunit: $o).
% 2.37/0.62 thf(func_def_58, type, singletonsswitch: $o).
% 2.37/0.62 thf(func_def_59, type, upairsetE: $o).
% 2.37/0.62 thf(func_def_60, type, upairsetIL: $o).
% 2.37/0.62 thf(func_def_61, type, upairsetIR: $o).
% 2.37/0.62 thf(func_def_62, type, emptyE1: $o).
% 2.37/0.62 thf(func_def_63, type, vacuousDall: $o).
% 2.37/0.62 thf(func_def_64, type, quantDeMorgan1: $o).
% 2.37/0.62 thf(func_def_65, type, quantDeMorgan2: $o).
% 2.37/0.62 thf(func_def_66, type, quantDeMorgan3: $o).
% 2.37/0.62 thf(func_def_67, type, quantDeMorgan4: $o).
% 2.37/0.62 thf(func_def_68, type, prop2setI: $o).
% 2.37/0.62 thf(func_def_69, type, set2prop: ($i > $o)).
% 2.37/0.62 thf(func_def_70, type, prop2set2propI: $o).
% 2.37/0.62 thf(func_def_71, type, notdexE: $o).
% 2.37/0.62 thf(func_def_72, type, notdallE: $o).
% 2.37/0.62 thf(func_def_73, type, exuI1: $o).
% 2.37/0.62 thf(func_def_74, type, exuI3: $o).
% 2.37/0.62 thf(func_def_75, type, exuI2: $o).
% 2.37/0.62 thf(func_def_76, type, inCongP: $o).
% 2.37/0.62 thf(func_def_77, type, in__Cong: $o).
% 2.37/0.62 thf(func_def_78, type, exuE3u: $o).
% 2.37/0.62 thf(func_def_79, type, exu__Cong: $o).
% 2.37/0.62 thf(func_def_80, type, emptyset__Cong: $o).
% 2.37/0.62 thf(func_def_81, type, setadjoin__Cong: $o).
% 2.37/0.62 thf(func_def_82, type, powerset__Cong: $o).
% 2.37/0.62 thf(func_def_83, type, setunion__Cong: $o).
% 2.37/0.62 thf(func_def_84, type, omega__Cong: $o).
% 2.37/0.62 thf(func_def_85, type, exuEu: $o).
% 2.37/0.62 thf(func_def_86, type, descr__Cong: $o).
% 2.37/0.62 thf(func_def_87, type, dsetconstr__Cong: $o).
% 2.37/0.62 thf(func_def_88, type, subset: ($i > $i > $o)).
% 2.37/0.62 thf(func_def_89, type, disjoint: ($i > $i > $o)).
% 2.37/0.62 thf(func_def_90, type, setsmeet: ($i > $i > $o)).
% 2.37/0.62 thf(func_def_91, type, subsetI1: $o).
% 2.37/0.62 thf(func_def_92, type, eqimpsubset2: $o).
% 2.37/0.62 thf(func_def_93, type, eqimpsubset1: $o).
% 2.37/0.62 thf(func_def_94, type, subsetI2: $o).
% 2.37/0.62 thf(func_def_95, type, emptysetsubset: $o).
% 2.37/0.62 thf(func_def_96, type, subsetE: $o).
% 2.37/0.62 thf(func_def_97, type, subsetE2: $o).
% 2.37/0.62 thf(func_def_98, type, notsubsetI: $o).
% 2.37/0.62 thf(func_def_99, type, notequalI1: $o).
% 2.37/0.62 thf(func_def_100, type, notequalI2: $o).
% 2.37/0.62 thf(func_def_101, type, subsetRefl: $o).
% 2.37/0.62 thf(func_def_102, type, subsetTrans: $o).
% 2.37/0.62 thf(func_def_105, type, db0: !>[X0: $tType]:(X0)).
% 2.37/0.62 thf(func_def_106, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.37/0.62 thf(func_def_107, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.37/0.62 thf(func_def_108, type, vAND: ($o > $o > $o)).
% 2.37/0.62 thf(func_def_109, type, db1: !>[X0: $tType]:(X0)).
% 2.37/0.62 thf(func_def_110, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.37/0.62 thf(func_def_111, type, vIMP: ($o > $o > $o)).
% 2.37/0.62 thf(func_def_112, type, db2: !>[X0: $tType]:(X0)).
% 2.37/0.62 thf(func_def_113, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.37/0.62 thf(func_def_114, type, vNOT: ($o > $o)).
% 2.37/0.62 thf(func_def_115, type, sP0: ($i > $i > $o)).
% 2.37/0.62 thf(func_def_116, type, sP1: ($i > $o)).
% 2.37/0.62 thf(func_def_120, type, sK5: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_124, type, sK9: ($i > $o)).
% 2.37/0.62 thf(func_def_126, type, sK11: (($i > $o) > $i > $i)).
% 2.37/0.62 thf(func_def_127, type, sK12: ($i > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_128, type, sK13: ($i > $o)).
% 2.37/0.62 thf(func_def_135, type, sK20: $o).
% 2.37/0.62 thf(func_def_138, type, sK23: ($i > $i)).
% 2.37/0.62 thf(func_def_143, type, sK28: ($i > $i)).
% 2.37/0.62 thf(func_def_146, type, sK31: ($i > $o)).
% 2.37/0.62 thf(func_def_147, type, sK32: ($i > $i)).
% 2.37/0.62 thf(func_def_150, type, sK35: ($i > $i)).
% 2.37/0.62 thf(func_def_155, type, sK40: ($i > $i)).
% 2.37/0.62 thf(func_def_158, type, sK43: $o).
% 2.37/0.62 thf(func_def_161, type, sK46: ($i > $i)).
% 2.37/0.62 thf(func_def_162, type, sK47: ($i > $i)).
% 2.37/0.62 thf(func_def_163, type, sK48: ($i > $i)).
% 2.37/0.62 thf(func_def_164, type, sK49: ($i > $i)).
% 2.37/0.62 thf(func_def_165, type, sK50: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_166, type, sK51: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_167, type, sK52: ($i > $i > $i > $i)).
% 2.37/0.62 thf(func_def_168, type, sK53: ($i > $i > $i > $i)).
% 2.37/0.62 thf(func_def_169, type, sK54: ($i > $i > $i > $i)).
% 2.37/0.62 thf(func_def_170, type, sK55: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_171, type, sK56: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_172, type, sK57: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_174, type, sK59: ($i > $i)).
% 2.37/0.62 thf(func_def_175, type, sK60: ($i > $i)).
% 2.37/0.62 thf(func_def_176, type, sK61: ($i > $i)).
% 2.37/0.62 thf(func_def_177, type, sK62: ($i > $i)).
% 2.37/0.62 thf(func_def_178, type, sK63: ($i > $i)).
% 2.37/0.62 thf(func_def_179, type, sK64: ($i > $i > $i > $i)).
% 2.37/0.62 thf(func_def_182, type, sK67: (($i > $o) > $i)).
% 2.37/0.62 thf(func_def_183, type, sK68: ($i > $o)).
% 2.37/0.62 thf(func_def_184, type, sK69: ($i > $o)).
% 2.37/0.62 thf(func_def_187, type, sK72: ($i > $o)).
% 2.37/0.62 thf(func_def_194, type, sK79: ($i > $o)).
% 2.37/0.62 thf(func_def_195, type, sK80: ($i > $o)).
% 2.37/0.62 thf(func_def_213, type, sK98: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_216, type, sK101: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_217, type, sK102: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_220, type, sK105: ($i > $o)).
% 2.37/0.62 thf(func_def_222, type, sK107: ($i > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_223, type, sK108: $o).
% 2.37/0.62 thf(func_def_229, type, sK114: $o).
% 2.37/0.62 thf(func_def_237, type, sK122: ($i > $o)).
% 2.37/0.62 thf(func_def_239, type, sK124: (($i > $o) > $i > $i)).
% 2.37/0.62 thf(func_def_240, type, sK125: (($i > $o) > $i)).
% 2.37/0.62 thf(func_def_241, type, sK126: ($i > $o)).
% 2.37/0.62 thf(func_def_242, type, sK127: ($i > $i)).
% 2.37/0.62 thf(func_def_249, type, sK134: ($i > $o)).
% 2.37/0.62 thf(func_def_251, type, sK136: (($i > $o) > $i > $i)).
% 2.37/0.62 thf(func_def_258, type, sK143: ($i > $o)).
% 2.37/0.62 thf(func_def_261, type, sK146: ($i > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_262, type, sK147: ($i > $o)).
% 2.37/0.62 thf(func_def_266, type, sK151: ($i > $o)).
% 2.37/0.62 thf(func_def_270, type, sK155: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_283, type, sK168: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_290, type, sK175: (($i > $o) > $i)).
% 2.37/0.62 thf(func_def_291, type, sK176: (($i > $o) > $i)).
% 2.37/0.62 thf(func_def_292, type, sK177: ($i > $o)).
% 2.37/0.62 thf(func_def_294, type, sK179: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_297, type, sK182: ($i > $o)).
% 2.37/0.62 thf(func_def_298, type, sK183: ($i > $o)).
% 2.37/0.62 thf(func_def_299, type, sK184: (($i > $o) > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_300, type, sK185: (($i > $o) > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_303, type, sK188: ($i > $i > $i)).
% 2.37/0.62 thf(func_def_304, type, sK189: ($i > $i)).
% 2.37/0.62 thf(func_def_308, type, sK193: $o).
% 2.37/0.62 thf(func_def_309, type, sK194: ($o > $i > $i > $i)).
% 2.37/0.62 thf(func_def_310, type, sK195: ($i > $o)).
% 2.37/0.62 thf(func_def_313, type, sK198: ($i > $o)).
% 2.37/0.62 thf(func_def_315, type, sK200: ($i > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_322, type, sK207: ($i > $o)).
% 2.37/0.62 thf(func_def_324, type, sK209: (($i > $i > $o) > $i > $i)).
% 2.37/0.62 thf(func_def_325, type, sK210: ($i > ($i > $i > $o) > $i > $i)).
% 2.37/0.62 thf(func_def_326, type, sK211: (($i > $i > $o) > $i > $i)).
% 2.37/0.62 thf(func_def_328, type, sK213: ($i > $i > $o)).
% 2.37/0.62 thf(func_def_329, type, sK214: ($i > $i)).
% 2.37/0.62 thf(func_def_330, type, sK215: ($i > $i)).
% 2.37/0.62 thf(func_def_331, type, sK216: ($i > $o)).
% 2.37/0.62 thf(func_def_332, type, sK217: ($i > $i)).
% 2.37/0.62 thf(func_def_333, type, sK218: (($i > $o) > $i)).
% 2.37/0.62 thf(func_def_340, type, sK225: $o).
% 2.37/0.62 thf(func_def_341, type, sK226: ($i > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_342, type, sK227: ($i > $o)).
% 2.37/0.62 thf(func_def_348, type, sK233: ($i > $i)).
% 2.37/0.62 thf(func_def_352, type, sK237: ($i > $o)).
% 2.37/0.62 thf(func_def_353, type, sK238: ($i > $o)).
% 2.37/0.62 thf(func_def_354, type, sK239: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 2.37/0.62 thf(func_def_355, type, sK240: (($i > $o) > ($i > $o) > $i > $i > $i)).
% 2.37/0.62 thf(func_def_356, type, sK241: (($i > $o) > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_357, type, sK242: (($i > $o) > ($i > $o) > $i)).
% 2.37/0.62 thf(func_def_358, type, sK243: ($i > $o)).
% 2.37/0.62 thf(func_def_359, type, sK244: ($i > $o)).
% 2.37/0.62 thf(func_def_361, type, sK246: ($i > $o)).
% 2.37/0.62 thf(f3,axiom,(
% 2.37/0.62 (! [X0 : $i] : ~(in @ X0 @ emptyset) = emptysetAx)),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetAx)).
% 2.37/0.62 thf(f18,axiom,(
% 2.37/0.62 (prop2setE = ! [X0 : $o,X1 : $i] : ((in @ X1 @ (prop2set @ X0)) => X0))),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setE)).
% 2.37/0.62 thf(f24,axiom,(
% 2.37/0.62 (emptyI = ! [X0 : $i] : (! [X1 : $i] : ~(in @ X1 @ X0) => (X0 = emptyset)))),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyI)).
% 2.37/0.62 thf(f30,axiom,(
% 2.37/0.62 (! [X0 : $i] : (? [X1 : $i] : (in @ X1 @ X0) => (nonempty @ X0)) = nonemptyI1)),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI1)).
% 2.37/0.62 thf(f33,axiom,(
% 2.37/0.62 (setadjoinIR = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ (setadjoin @ X0 @ X1))))),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIR)).
% 2.37/0.62 thf(f45,axiom,(
% 2.37/0.62 (nonemptyImpWitness = ! [X0 : $i] : ((nonempty @ X0) => ? [X1 : $i] : ((in @ X1 @ X0) & $true)))),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyImpWitness)).
% 2.37/0.62 thf(f59,axiom,(
% 2.37/0.62 (! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))) = prop2setI)),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setI)).
% 2.37/0.62 thf(f78,axiom,(
% 2.37/0.62 (subsetI1 = ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1)).
% 2.37/0.62 thf(f90,conjecture,(
% 2.37/0.62 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 => ! [X1 : $i,X0 : $i] : (subset @ X1 @ (setadjoin @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.37/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinSub)).
% 2.37/0.62 thf(f91,negated_conjecture,(
% 2.37/0.62 ~(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 => ! [X1 : $i,X0 : $i] : (subset @ X1 @ (setadjoin @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.37/0.62 inference(negated_conjecture,[status(cth)],[f90])).
% 2.37/0.62 thf(f116,plain,(
% 2.37/0.62 (! [X0 : $i] : (? [X1 : $i] : (in @ X1 @ X0) => (nonempty @ X0)) = nonemptyI1)),
% 2.37/0.62 inference(rectify,[],[f30])).
% 2.37/0.62 thf(f117,plain,(
% 2.37/0.62 (nonemptyI1 = $true) <=> ! [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) => (((nonempty @ X0)) = $true))),
% 2.37/0.62 inference(fool_elimination,[],[f116])).
% 2.37/0.62 thf(f122,plain,(
% 2.37/0.62 (nonemptyImpWitness = ! [X0 : $i] : ((nonempty @ X0) => ? [X1 : $i] : ((in @ X1 @ X0) & $true)))),
% 2.37/0.62 inference(rectify,[],[f45])).
% 2.37/0.62 thf(f123,plain,(
% 2.37/0.62 (nonemptyImpWitness = $true) <=> ! [X0 : $i] : ((((nonempty @ X0)) = $true) => ? [X1 : $i] : ((((in @ X1 @ X0)) = $true) & $true))),
% 2.37/0.62 inference(fool_elimination,[],[f122])).
% 2.37/0.62 thf(f124,plain,(
% 2.37/0.62 (emptyI = ! [X0 : $i] : (! [X1 : $i] : ~(in @ X1 @ X0) => (X0 = emptyset)))),
% 2.37/0.62 inference(rectify,[],[f24])).
% 2.37/0.62 thf(f125,plain,(
% 2.37/0.62 (emptyI = $true) <=> ! [X0 : $i] : (! [X1 : $i] : ~ (((in @ X1 @ X0)) = $true) => (emptyset = X0))),
% 2.37/0.62 inference(fool_elimination,[],[f124])).
% 2.37/0.62 thf(f151,plain,(
% 2.37/0.62 (! [X0 : $i] : ~(in @ X0 @ emptyset) = emptysetAx)),
% 2.37/0.62 inference(rectify,[],[f3])).
% 2.37/0.62 thf(f152,plain,(
% 2.37/0.62 ! [X0 : $i] : ~ (((in @ X0 @ emptyset)) = $true) <=> (emptysetAx = $true)),
% 2.37/0.62 inference(fool_elimination,[],[f151])).
% 2.37/0.62 thf(f162,plain,(
% 2.37/0.62 ~(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 => ! [X0 : $i,X1 : $i] : (subset @ X0 @ (setadjoin @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.37/0.62 inference(rectify,[],[f91])).
% 2.37/0.62 thf(f163,plain,(
% 2.37/0.62 ~((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) => ! [X1 : $i,X0 : $i] : (((subset @ X0 @ (setadjoin @ X1 @ X0))) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.37/0.62 inference(fool_elimination,[],[f162])).
% 2.37/0.62 thf(f166,plain,(
% 2.37/0.62 (! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))) = prop2setI)),
% 2.37/0.62 inference(rectify,[],[f59])).
% 2.37/0.62 thf(f167,plain,(
% 2.37/0.62 ! [X0 : $o] : (($true = X0) => (((in @ emptyset @ (prop2set @ X0))) = $true)) <=> (prop2setI = $true)),
% 2.37/0.62 inference(fool_elimination,[],[f166])).
% 2.37/0.62 thf(f184,plain,(
% 2.37/0.62 (subsetI1 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)))),
% 2.37/0.62 inference(rectify,[],[f78])).
% 2.37/0.62 thf(f185,plain,(
% 2.37/0.62 (subsetI1 = $true) <=> ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((((in @ X2 @ X1)) = $true) => (((in @ X2 @ X0)) = $true)) => (((subset @ X1 @ X0)) = $true))),
% 2.37/0.62 inference(fool_elimination,[],[f184])).
% 2.37/0.62 thf(f230,plain,(
% 2.37/0.62 (prop2setE = ! [X0 : $o,X1 : $i] : ((in @ X1 @ (prop2set @ X0)) => X0))),
% 2.37/0.62 inference(rectify,[],[f18])).
% 2.37/0.62 thf(f231,plain,(
% 2.37/0.62 ! [X0 : $o,X1 : $i] : ((((in @ X1 @ (prop2set @ X0))) = $true) => ($true = X0)) <=> (prop2setE = $true)),
% 2.37/0.62 inference(fool_elimination,[],[f230])).
% 2.37/0.62 thf(f244,plain,(
% 2.37/0.62 (setadjoinIR = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ (setadjoin @ X0 @ X1))))),
% 2.37/0.62 inference(rectify,[],[f33])).
% 2.37/0.62 thf(f245,plain,(
% 2.37/0.62 ! [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X2 @ X1)) = $true) => (((in @ X2 @ (setadjoin @ X0 @ X1))) = $true)) <=> (setadjoinIR = $true)),
% 2.37/0.62 inference(fool_elimination,[],[f244])).
% 2.37/0.62 thf(f268,plain,(
% 2.37/0.62 ! [X0 : $i] : ((((nonempty @ X0)) = $true) => ? [X1 : $i] : (((in @ X1 @ X0)) = $true)) <=> (nonemptyImpWitness = $true)),
% 2.37/0.62 inference(true_and_false_elimination,[],[f123])).
% 2.37/0.62 thf(f269,plain,(
% 2.37/0.62 ! [X0 : $i] : (! [X1 : $i] : (((in @ X1 @ X0)) != $true) => (emptyset = X0)) <=> (emptyI = $true)),
% 2.37/0.62 inference(flattening,[],[f125])).
% 2.37/0.62 thf(f271,plain,(
% 2.37/0.62 (emptysetAx = $true) <=> ! [X0 : $i] : (((in @ X0 @ emptyset)) != $true)),
% 2.37/0.62 inference(flattening,[],[f152])).
% 2.37/0.62 thf(f295,plain,(
% 2.37/0.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (((subset @ X0 @ (setadjoin @ X1 @ X0))) != $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)),
% 2.37/0.62 inference(ennf_transformation,[],[f163])).
% 2.37/0.62 thf(f296,plain,(
% 2.37/0.62 (vacuousDall = $true) & (powersetI = $true) & (dsetconstr__Cong = $true) & (omegaIndAx = $true) & (emptyset__Cong = $true) & (notdallE = $true) & (dsetconstrER = $true) & (prop2set2propI = $true) & (setbeta = $true) & (prop2setI = $true) & (upairsetIL = $true) & (setunionI = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (descr__Cong = $true) & (eqimpsubset1 = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (exuI3 = $true) & (exuI1 = $true) & (notsubsetI = $true) & (prop2setE = $true) & (setunionAx = $true) & (notinemptyset = $true) & (quantDeMorgan4 = $true) & (subsetE2 = $true) & (upairsetE = $true) & (notinsingleton = $true) & (exuI2 = $true) & (omega__Cong = $true) & (dsetconstrI = $true) & (notdexE = $true) & (eqimpsubset2 = $true) & (exuE2 = $true) & (exu__Cong = $true) & (exuE3e = $true) & (inCongP = $true) & (setadjoinIL = $true) & (subsetI2 = $true) & (setadjoin__Cong = $true) & (subsetRefl = $true) & (omega0Ax = $true) & (subPowSU = $true) & (in__Cong = $true) & (upairsetIR = $true) & (emptysetAx = $true) & (notequalI1 = $true) & (setadjoinOr = $true) & (powersetAx = $true) & (exuE3u = $true) & (emptyE1 = $true) & (uniqinunit = $true) & (setunionE = $true) & (emptyInPowerset = $true) & (setunion__Cong = $true) & (nonemptyI = $true) & (omegaSAx = $true) & (emptyinunitempty = $true) & (setext = $true) & (subsetI1 = $true) & (setoftrueEq = $true) & (singletonsswitch = $true) & (exuEu = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (powersetE = $true) & (setadjoinIR = $true) & (descrp = $true) & (powerset__Cong = $true) & (nonemptyI1 = $true) & (notequalI2 = $true) & (setextAx = $true) & (emptyI = $true) & (exuE1 = $true) & (nonemptyImpWitness = $true) & (emptysetsubset = $true) & (nonemptyE1 = $true) & (emptysetE = $true) & (quantDeMorgan2 = $true) & ? [X0 : $i,X1 : $i] : (((subset @ X0 @ (setadjoin @ X1 @ X0))) != $true) & (subsetE = $true) & (emptysetimpfalse = $true) & (eqinunit = $true) & (setadjoinAx = $true) & (setadjoinE = $true) & (emptyinPowerset = $true) & (subsetTrans = $true)),
% 2.37/0.62 inference(flattening,[],[f295])).
% 2.37/0.62 thf(f297,plain,(
% 2.37/0.62 ! [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ (setadjoin @ X0 @ X1))) = $true)) <=> (setadjoinIR = $true)),
% 2.37/0.62 inference(ennf_transformation,[],[f245])).
% 2.37/0.62 thf(f305,plain,(
% 2.37/0.62 ! [X0 : $i] : ((((nonempty @ X0)) != $true) | ? [X1 : $i] : (((in @ X1 @ X0)) = $true)) <=> (nonemptyImpWitness = $true)),
% 2.37/0.62 inference(ennf_transformation,[],[f268])).
% 2.37/0.62 thf(f308,plain,(
% 2.37/0.62 (prop2setI = $true) <=> ! [X0 : $o] : (($true != X0) | (((in @ emptyset @ (prop2set @ X0))) = $true))),
% 2.37/0.62 inference(ennf_transformation,[],[f167])).
% 2.37/0.62 thf(f309,plain,(
% 2.37/0.62 ! [X1 : $i,X0 : $o] : (($true = X0) | (((in @ X1 @ (prop2set @ X0))) != $true)) <=> (prop2setE = $true)),
% 2.37/0.62 inference(ennf_transformation,[],[f231])).
% 2.37/0.62 thf(f330,plain,(
% 2.37/0.62 (subsetI1 = $true) <=> ! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true)))),
% 2.37/0.62 inference(ennf_transformation,[],[f185])).
% 2.37/0.62 thf(f368,plain,(
% 2.37/0.62 ! [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) | (emptyset = X0)) <=> (emptyI = $true)),
% 2.37/0.62 inference(ennf_transformation,[],[f269])).
% 2.37/0.62 thf(f379,plain,(
% 2.37/0.62 ! [X0 : $i] : ((((nonempty @ X0)) = $true) | ! [X1 : $i] : (((in @ X1 @ X0)) != $true)) <=> (nonemptyI1 = $true)),
% 2.37/0.62 inference(ennf_transformation,[],[f117])).
% 2.37/0.62 thf(f434,plain,(
% 2.37/0.62 (! [X0 : $i] : ((((nonempty @ X0)) = $true) | ! [X1 : $i] : (((in @ X1 @ X0)) != $true)) | (nonemptyI1 != $true)) & ((nonemptyI1 = $true) | ? [X0 : $i] : ((((nonempty @ X0)) != $true) & ? [X1 : $i] : (((in @ X1 @ X0)) = $true)))),
% 2.37/0.62 inference(nnf_transformation,[],[f379])).
% 2.37/0.62 thf(f435,plain,(
% 2.37/0.62 (! [X0 : $i] : ((((nonempty @ X0)) = $true) | ! [X1 : $i] : (((in @ X1 @ X0)) != $true)) | (nonemptyI1 != $true)) & ((nonemptyI1 = $true) | ? [X2 : $i] : (($true != ((nonempty @ X2))) & ? [X3 : $i] : (((in @ X3 @ X2)) = $true)))),
% 2.37/0.62 inference(rectify,[],[f434])).
% 2.37/0.62 thf(f436,plain,(
% 2.37/0.62 (! [X0 : $i] : ((((nonempty @ X0)) = $true) | ! [X1 : $i] : (((in @ X1 @ X0)) != $true)) | (nonemptyI1 != $true)) & ((nonemptyI1 = $true) | ((((nonempty @ sK37)) != $true) & (((in @ sK38 @ sK37)) = $true)))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X2,sK37),skolemize(X3,sK38)],[f435])).
% 2.37/0.62 thf(f437,plain,(
% 2.37/0.62 ((emptysetAx = $true) | ? [X0 : $i] : (((in @ X0 @ emptyset)) = $true)) & (! [X0 : $i] : (((in @ X0 @ emptyset)) != $true) | (emptysetAx != $true))),
% 2.37/0.62 inference(nnf_transformation,[],[f271])).
% 2.37/0.62 thf(f438,plain,(
% 2.37/0.62 ((emptysetAx = $true) | ? [X0 : $i] : (((in @ X0 @ emptyset)) = $true)) & (! [X1 : $i] : (((in @ X1 @ emptyset)) != $true) | (emptysetAx != $true))),
% 2.37/0.62 inference(rectify,[],[f437])).
% 2.37/0.62 thf(f439,plain,(
% 2.37/0.62 ((emptysetAx = $true) | ($true = ((in @ sK39 @ emptyset)))) & (! [X1 : $i] : (((in @ X1 @ emptyset)) != $true) | (emptysetAx != $true))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X0,sK39)],[f438])).
% 2.37/0.62 thf(f440,plain,(
% 2.37/0.62 (! [X0 : $i] : ((((nonempty @ X0)) != $true) | ? [X1 : $i] : (((in @ X1 @ X0)) = $true)) | (nonemptyImpWitness != $true)) & ((nonemptyImpWitness = $true) | ? [X0 : $i] : ((((nonempty @ X0)) = $true) & ! [X1 : $i] : (((in @ X1 @ X0)) != $true)))),
% 2.37/0.62 inference(nnf_transformation,[],[f305])).
% 2.37/0.62 thf(f441,plain,(
% 2.37/0.62 (! [X0 : $i] : ((((nonempty @ X0)) != $true) | ? [X1 : $i] : (((in @ X1 @ X0)) = $true)) | (nonemptyImpWitness != $true)) & ((nonemptyImpWitness = $true) | ? [X2 : $i] : (($true = ((nonempty @ X2))) & ! [X3 : $i] : (((in @ X3 @ X2)) != $true)))),
% 2.37/0.62 inference(rectify,[],[f440])).
% 2.37/0.62 thf(f442,plain,(
% 2.37/0.62 (! [X0 : $i] : ((((nonempty @ X0)) != $true) | ($true = ((in @ (sK40 @ X0) @ X0)))) | (nonemptyImpWitness != $true)) & ((nonemptyImpWitness = $true) | ((((nonempty @ sK41)) = $true) & ! [X3 : $i] : ($true != ((in @ X3 @ sK41)))))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK41]),skolemize(X7,sK5 @ X5 @ X4),skolemize(X2,sK41)],[f441])).
% 2.37/0.62 thf(f443,plain,(
% 2.37/0.62 (! [X1 : $i,X0 : $o] : (($true = X0) | (((in @ X1 @ (prop2set @ X0))) != $true)) | (prop2setE != $true)) & ((prop2setE = $true) | ? [X1 : $i,X0 : $o] : (($true != X0) & (((in @ X1 @ (prop2set @ X0))) = $true)))),
% 2.37/0.62 inference(nnf_transformation,[],[f309])).
% 2.37/0.62 thf(f444,plain,(
% 2.37/0.62 (! [X0 : $i,X1 : $o] : (($true = X1) | (((in @ X0 @ (prop2set @ X1))) != $true)) | (prop2setE != $true)) & ((prop2setE = $true) | ? [X2 : $i,X3 : $o] : (($true != X3) & (((in @ X2 @ (prop2set @ X3))) = $true)))),
% 2.37/0.62 inference(rectify,[],[f443])).
% 2.37/0.62 thf(f445,plain,(
% 2.37/0.62 (! [X0 : $i,X1 : $o] : (($true = X1) | (((in @ X0 @ (prop2set @ X1))) != $true)) | (prop2setE != $true)) & ((prop2setE = $true) | (($true != sK43) & ($true = ((in @ sK42 @ (prop2set @ sK43))))))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43]),skolemize(X2,sK42),skolemize(X3,sK43)],[f444])).
% 2.37/0.62 thf(f510,plain,(
% 2.37/0.62 ((prop2setI = $true) | ? [X0 : $o] : (($true = X0) & (((in @ emptyset @ (prop2set @ X0))) != $true))) & (! [X0 : $o] : (($true != X0) | (((in @ emptyset @ (prop2set @ X0))) = $true)) | (prop2setI != $true))),
% 2.37/0.62 inference(nnf_transformation,[],[f308])).
% 2.37/0.62 thf(f511,plain,(
% 2.37/0.62 ((prop2setI = $true) | ? [X0 : $o] : (($true = X0) & (((in @ emptyset @ (prop2set @ X0))) != $true))) & (! [X1 : $o] : (($true != X1) | ($true = ((in @ emptyset @ (prop2set @ X1))))) | (prop2setI != $true))),
% 2.37/0.62 inference(rectify,[],[f510])).
% 2.37/0.62 thf(f512,plain,(
% 2.37/0.62 ((prop2setI = $true) | (($true = sK108) & ($true != ((in @ emptyset @ (prop2set @ sK108)))))) & (! [X1 : $o] : (($true != X1) | ($true = ((in @ emptyset @ (prop2set @ X1))))) | (prop2setI != $true))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(X0,sK108)],[f511])).
% 2.37/0.62 thf(f522,plain,(
% 2.37/0.62 (vacuousDall = $true) & (powersetI = $true) & (dsetconstr__Cong = $true) & (omegaIndAx = $true) & (emptyset__Cong = $true) & (notdallE = $true) & (dsetconstrER = $true) & (prop2set2propI = $true) & (setbeta = $true) & (prop2setI = $true) & (upairsetIL = $true) & (setunionI = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (descr__Cong = $true) & (eqimpsubset1 = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (exuI3 = $true) & (exuI1 = $true) & (notsubsetI = $true) & (prop2setE = $true) & (setunionAx = $true) & (notinemptyset = $true) & (quantDeMorgan4 = $true) & (subsetE2 = $true) & (upairsetE = $true) & (notinsingleton = $true) & (exuI2 = $true) & (omega__Cong = $true) & (dsetconstrI = $true) & (notdexE = $true) & (eqimpsubset2 = $true) & (exuE2 = $true) & (exu__Cong = $true) & (exuE3e = $true) & (inCongP = $true) & (setadjoinIL = $true) & (subsetI2 = $true) & (setadjoin__Cong = $true) & (subsetRefl = $true) & (omega0Ax = $true) & (subPowSU = $true) & (in__Cong = $true) & (upairsetIR = $true) & (emptysetAx = $true) & (notequalI1 = $true) & (setadjoinOr = $true) & (powersetAx = $true) & (exuE3u = $true) & (emptyE1 = $true) & (uniqinunit = $true) & (setunionE = $true) & (emptyInPowerset = $true) & (setunion__Cong = $true) & (nonemptyI = $true) & (omegaSAx = $true) & (emptyinunitempty = $true) & (setext = $true) & (subsetI1 = $true) & (setoftrueEq = $true) & (singletonsswitch = $true) & (exuEu = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (powersetE = $true) & (setadjoinIR = $true) & (descrp = $true) & (powerset__Cong = $true) & (nonemptyI1 = $true) & (notequalI2 = $true) & (setextAx = $true) & (emptyI = $true) & (exuE1 = $true) & (nonemptyImpWitness = $true) & (emptysetsubset = $true) & (nonemptyE1 = $true) & (emptysetE = $true) & (quantDeMorgan2 = $true) & ($true != ((subset @ sK119 @ (setadjoin @ sK120 @ sK119)))) & (subsetE = $true) & (emptysetimpfalse = $true) & (eqinunit = $true) & (setadjoinAx = $true) & (setadjoinE = $true) & (emptyinPowerset = $true) & (subsetTrans = $true)),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK119,sK120]),skolemize(X0,sK119),skolemize(X1,sK120)],[f296])).
% 2.37/0.62 thf(f538,plain,(
% 2.37/0.62 (! [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ (setadjoin @ X0 @ X1))) = $true)) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ? [X1 : $i,X2 : $i,X0 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ (setadjoin @ X0 @ X1))) != $true)))),
% 2.37/0.62 inference(nnf_transformation,[],[f297])).
% 2.37/0.62 thf(f539,plain,(
% 2.37/0.62 (! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X1 @ X0)) != $true) | (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true)) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X4 @ X3))) & (((in @ X4 @ (setadjoin @ X5 @ X3))) != $true)))),
% 2.37/0.62 inference(rectify,[],[f538])).
% 2.37/0.62 thf(f540,plain,(
% 2.37/0.62 (! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X1 @ X0)) != $true) | (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true)) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | (($true = ((in @ sK138 @ sK137))) & ($true != ((in @ sK138 @ (setadjoin @ sK139 @ sK137))))))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK137,sK138,sK139]),skolemize(X3,sK137),skolemize(X4,sK138),skolemize(X5,sK139)],[f539])).
% 2.37/0.62 thf(f587,plain,(
% 2.37/0.62 ((subsetI1 = $true) | ? [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) != $true) & ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true)))) & (! [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) = $true) | ? [X2 : $i] : ((((in @ X2 @ X1)) = $true) & (((in @ X2 @ X0)) != $true))) | (subsetI1 != $true))),
% 2.37/0.62 inference(nnf_transformation,[],[f330])).
% 2.37/0.62 thf(f588,plain,(
% 2.37/0.62 ((subsetI1 = $true) | ? [X0 : $i,X1 : $i] : ((((subset @ X1 @ X0)) != $true) & ! [X2 : $i] : ((((in @ X2 @ X1)) != $true) | (((in @ X2 @ X0)) = $true)))) & (! [X3 : $i,X4 : $i] : ((((subset @ X4 @ X3)) = $true) | ? [X5 : $i] : (($true = ((in @ X5 @ X4))) & ($true != ((in @ X5 @ X3))))) | (subsetI1 != $true))),
% 2.37/0.62 inference(rectify,[],[f587])).
% 2.37/0.62 thf(f589,plain,(
% 2.37/0.62 ((subsetI1 = $true) | ((((subset @ sK187 @ sK186)) != $true) & ! [X2 : $i] : (($true != ((in @ X2 @ sK187))) | (((in @ X2 @ sK186)) = $true)))) & (! [X3 : $i,X4 : $i] : ((((subset @ X4 @ X3)) = $true) | (($true = ((in @ (sK188 @ X4 @ X3) @ X4))) & ($true != ((in @ (sK188 @ X4 @ X3) @ X3))))) | (subsetI1 != $true))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK186,sK187,vAPP]),skolemize(X0,sK186),skolemize(X1,sK187),skolemize(X7,sK5 @ X5 @ X4)],[f588])).
% 2.37/0.62 thf(f632,plain,(
% 2.37/0.62 (! [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) | (emptyset = X0)) | (emptyI != $true)) & ((emptyI = $true) | ? [X0 : $i] : (! [X1 : $i] : (((in @ X1 @ X0)) != $true) & (emptyset != X0)))),
% 2.37/0.62 inference(nnf_transformation,[],[f368])).
% 2.37/0.62 thf(f633,plain,(
% 2.37/0.62 (! [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) | (emptyset = X0)) | (emptyI != $true)) & ((emptyI = $true) | ? [X2 : $i] : (! [X3 : $i] : (((in @ X3 @ X2)) != $true) & (emptyset != X2)))),
% 2.37/0.62 inference(rectify,[],[f632])).
% 2.37/0.62 thf(f634,plain,(
% 2.37/0.62 (! [X0 : $i] : (($true = ((in @ (sK233 @ X0) @ X0))) | (emptyset = X0)) | (emptyI != $true)) & ((emptyI = $true) | (! [X3 : $i] : ($true != ((in @ X3 @ sK234))) & (emptyset != sK234)))),
% 2.37/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK234]),skolemize(X7,sK5 @ X5 @ X4),skolemize(X2,sK234)],[f633])).
% 2.37/0.62 thf(f706,plain,(
% 2.37/0.62 ( ! [X0 : $i,X1 : $i] : ((nonemptyI1 != $true) | (((nonempty @ X0)) = $true) | (((in @ X1 @ X0)) != $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f436])).
% 2.37/0.62 thf(f707,plain,(
% 2.37/0.62 ( ! [X1 : $i] : ((((in @ X1 @ emptyset)) != $true) | (emptysetAx != $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f439])).
% 2.37/0.62 thf(f711,plain,(
% 2.37/0.62 ( ! [X0 : $i] : ((nonemptyImpWitness != $true) | ($true = ((in @ (sK40 @ X0) @ X0))) | (((nonempty @ X0)) != $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f442])).
% 2.37/0.62 thf(f714,plain,(
% 2.37/0.62 ( ! [X0 : $i,X1 : $o] : (($true = X1) | (((in @ X0 @ (prop2set @ X1))) != $true) | (prop2setE != $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f445])).
% 2.37/0.62 thf(f825,plain,(
% 2.37/0.62 ( ! [X1 : $o] : (($true != X1) | ($true = ((in @ emptyset @ (prop2set @ X1)))) | (prop2setI != $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f512])).
% 2.37/0.62 thf(f850,plain,(
% 2.37/0.62 ($true != ((subset @ sK119 @ (setadjoin @ sK120 @ sK119))))),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f855,plain,(
% 2.37/0.62 (nonemptyImpWitness = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f857,plain,(
% 2.37/0.62 (emptyI = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f860,plain,(
% 2.37/0.62 (nonemptyI1 = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f863,plain,(
% 2.37/0.62 (setadjoinIR = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f871,plain,(
% 2.37/0.62 (subsetI1 = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f885,plain,(
% 2.37/0.62 (emptysetAx = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f909,plain,(
% 2.37/0.62 (prop2setE = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f921,plain,(
% 2.37/0.62 (prop2setI = $true)),
% 2.37/0.62 inference(cnf_transformation,[],[f522])).
% 2.37/0.62 thf(f954,plain,(
% 2.37/0.62 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((setadjoinIR != $true) | (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | (((in @ X1 @ X0)) != $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f540])).
% 2.37/0.62 thf(f1017,plain,(
% 2.37/0.62 ( ! [X3 : $i,X4 : $i] : ((subsetI1 != $true) | ($true != ((in @ (sK188 @ X4 @ X3) @ X3))) | (((subset @ X4 @ X3)) = $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f589])).
% 2.37/0.62 thf(f1018,plain,(
% 2.37/0.62 ( ! [X3 : $i,X4 : $i] : ((subsetI1 != $true) | ($true = ((in @ (sK188 @ X4 @ X3) @ X4))) | (((subset @ X4 @ X3)) = $true)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f589])).
% 2.37/0.62 thf(f1088,plain,(
% 2.37/0.62 ( ! [X0 : $i] : ((emptyI != $true) | ($true = ((in @ (sK233 @ X0) @ X0))) | (emptyset = X0)) )),
% 2.37/0.62 inference(cnf_transformation,[],[f634])).
% 2.37/0.62 thf(f1114,plain,(
% 2.37/0.62 (((in @ emptyset @ (prop2set @ $true))) = $true) | (prop2setI != $true)),
% 2.37/0.62 inference(equality_resolution,[],[f825])).
% 2.37/0.62 thf(f1264,definition,(
% 2.37/0.62 spl248_5 <=> ! [X0 : $i] : (((in @ X0 @ emptyset)) != $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_5])],[avatar_definition])).
% 2.37/0.62 thf(f1265,plain,(
% 2.37/0.62 ( ! [X0 : $i] : ((((in @ X0 @ emptyset)) != $true)) ) | ~spl248_5),
% 2.37/0.62 inference(avatar_component_clause,[],[f1264])).
% 2.37/0.62 thf(f1301,definition,(
% 2.37/0.62 spl248_14 <=> (setadjoinIR = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_14])],[avatar_definition])).
% 2.37/0.62 thf(f1445,definition,(
% 2.37/0.62 spl248_47 <=> (nonemptyImpWitness = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_47])],[avatar_definition])).
% 2.37/0.62 thf(f1488,definition,(
% 2.37/0.62 spl248_56 <=> ! [X0 : $i,X1 : $i] : ((((nonempty @ X0)) = $true) | (((in @ X1 @ X0)) != $true))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_56])],[avatar_definition])).
% 2.37/0.62 thf(f1489,plain,(
% 2.37/0.62 ( ! [X0 : $i,X1 : $i] : ((((in @ X1 @ X0)) != $true) | (((nonempty @ X0)) = $true)) ) | ~spl248_56),
% 2.37/0.62 inference(avatar_component_clause,[],[f1488])).
% 2.37/0.62 thf(f1491,definition,(
% 2.37/0.62 spl248_57 <=> (nonemptyI1 = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_57])],[avatar_definition])).
% 2.37/0.62 thf(f1494,plain,(
% 2.37/0.62 spl248_56 | ~spl248_57),
% 2.37/0.62 inference(avatar_split_clause,[],[f706,f1491,f1488])).
% 2.37/0.62 thf(f1714,definition,(
% 2.37/0.62 spl248_106 <=> (subsetI1 = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_106])],[avatar_definition])).
% 2.37/0.62 thf(f1740,definition,(
% 2.37/0.62 spl248_112 <=> (prop2setI = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_112])],[avatar_definition])).
% 2.37/0.62 thf(f1743,plain,(
% 2.37/0.62 spl248_112),
% 2.37/0.62 inference(avatar_split_clause,[],[f921,f1740])).
% 2.37/0.62 thf(f1764,definition,(
% 2.37/0.62 spl248_117 <=> (emptyI = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_117])],[avatar_definition])).
% 2.37/0.62 thf(f1889,definition,(
% 2.37/0.62 spl248_144 <=> ! [X0 : $i] : (($true = ((in @ (sK233 @ X0) @ X0))) | (emptyset = X0))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_144])],[avatar_definition])).
% 2.37/0.62 thf(f1890,plain,(
% 2.37/0.62 ( ! [X0 : $i] : (($true = ((in @ (sK233 @ X0) @ X0))) | (emptyset = X0)) ) | ~spl248_144),
% 2.37/0.62 inference(avatar_component_clause,[],[f1889])).
% 2.37/0.62 thf(f1891,plain,(
% 2.37/0.62 spl248_144 | ~spl248_117),
% 2.37/0.62 inference(avatar_split_clause,[],[f1088,f1764,f1889])).
% 2.37/0.62 thf(f2075,definition,(
% 2.37/0.62 spl248_186 <=> ! [X0 : $i] : (($true = ((in @ (sK40 @ X0) @ X0))) | (((nonempty @ X0)) != $true))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_186])],[avatar_definition])).
% 2.37/0.62 thf(f2076,plain,(
% 2.37/0.62 ( ! [X0 : $i] : ((((nonempty @ X0)) != $true) | ($true = ((in @ (sK40 @ X0) @ X0)))) ) | ~spl248_186),
% 2.37/0.62 inference(avatar_component_clause,[],[f2075])).
% 2.37/0.62 thf(f2077,plain,(
% 2.37/0.62 spl248_186 | ~spl248_47),
% 2.37/0.62 inference(avatar_split_clause,[],[f711,f1445,f2075])).
% 2.37/0.62 thf(f2130,plain,(
% 2.37/0.62 spl248_14),
% 2.37/0.62 inference(avatar_split_clause,[],[f863,f1301])).
% 2.37/0.62 thf(f2136,plain,(
% 2.37/0.62 spl248_106),
% 2.37/0.62 inference(avatar_split_clause,[],[f871,f1714])).
% 2.37/0.62 thf(f2423,definition,(
% 2.37/0.62 spl248_261 <=> (emptysetAx = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_261])],[avatar_definition])).
% 2.37/0.62 thf(f2512,plain,(
% 2.37/0.62 spl248_261),
% 2.37/0.62 inference(avatar_split_clause,[],[f885,f2423])).
% 2.37/0.62 thf(f2553,definition,(
% 2.37/0.62 spl248_289 <=> ($true = ((subset @ sK119 @ (setadjoin @ sK120 @ sK119))))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_289])],[avatar_definition])).
% 2.37/0.62 thf(f2555,plain,(
% 2.37/0.62 ($true != ((subset @ sK119 @ (setadjoin @ sK120 @ sK119)))) | spl248_289),
% 2.37/0.62 inference(avatar_component_clause,[],[f2553])).
% 2.37/0.62 thf(f2556,plain,(
% 2.37/0.62 ~spl248_289),
% 2.37/0.62 inference(avatar_split_clause,[],[f850,f2553])).
% 2.37/0.62 thf(f2632,plain,(
% 2.37/0.62 spl248_5 | ~spl248_261),
% 2.37/0.62 inference(avatar_split_clause,[],[f707,f2423,f1264])).
% 2.37/0.62 thf(f2652,definition,(
% 2.37/0.62 spl248_310 <=> (prop2setE = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_310])],[avatar_definition])).
% 2.37/0.62 thf(f2709,definition,(
% 2.37/0.62 spl248_321 <=> ! [X0 : $i,X1 : $o] : (($true = X1) | (((in @ X0 @ (prop2set @ X1))) != $true))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_321])],[avatar_definition])).
% 2.37/0.62 thf(f2710,plain,(
% 2.37/0.62 ( ! [X0 : $i,X1 : $o] : ((((in @ X0 @ (prop2set @ X1))) != $true) | ($true = X1)) ) | ~spl248_321),
% 2.37/0.62 inference(avatar_component_clause,[],[f2709])).
% 2.37/0.62 thf(f2711,plain,(
% 2.37/0.62 spl248_321 | ~spl248_310),
% 2.37/0.62 inference(avatar_split_clause,[],[f714,f2652,f2709])).
% 2.37/0.62 thf(f2745,definition,(
% 2.37/0.62 spl248_329 <=> (((in @ emptyset @ (prop2set @ $true))) = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_329])],[avatar_definition])).
% 2.37/0.62 thf(f2747,plain,(
% 2.37/0.62 (((in @ emptyset @ (prop2set @ $true))) = $true) | ~spl248_329),
% 2.37/0.62 inference(avatar_component_clause,[],[f2745])).
% 2.37/0.62 thf(f2748,plain,(
% 2.37/0.62 ~spl248_112 | spl248_329),
% 2.37/0.62 inference(avatar_split_clause,[],[f1114,f2745,f1740])).
% 2.37/0.62 thf(f2754,definition,(
% 2.37/0.62 spl248_331 <=> ! [X4 : $i,X3 : $i] : (($true != ((in @ (sK188 @ X4 @ X3) @ X3))) | (((subset @ X4 @ X3)) = $true))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_331])],[avatar_definition])).
% 2.37/0.62 thf(f2755,plain,(
% 2.37/0.62 ( ! [X3 : $i,X4 : $i] : (($true != ((in @ (sK188 @ X4 @ X3) @ X3))) | (((subset @ X4 @ X3)) = $true)) ) | ~spl248_331),
% 2.37/0.62 inference(avatar_component_clause,[],[f2754])).
% 2.37/0.62 thf(f2756,plain,(
% 2.37/0.62 spl248_331 | ~spl248_106),
% 2.37/0.62 inference(avatar_split_clause,[],[f1017,f1714,f2754])).
% 2.37/0.62 thf(f2784,definition,(
% 2.37/0.62 spl248_338 <=> ! [X4 : $i,X5 : $i,X3 : $i] : (($true = ((in @ X4 @ (setadjoin @ X3 @ X5)))) | (((in @ X4 @ X5)) != $true))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_338])],[avatar_definition])).
% 2.37/0.62 thf(f2785,plain,(
% 2.37/0.62 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((((in @ X4 @ X5)) != $true) | ($true = ((in @ X4 @ (setadjoin @ X3 @ X5))))) ) | ~spl248_338),
% 2.37/0.62 inference(avatar_component_clause,[],[f2784])).
% 2.37/0.62 thf(f2825,plain,(
% 2.37/0.62 spl248_57),
% 2.37/0.62 inference(avatar_split_clause,[],[f860,f1491])).
% 2.37/0.62 thf(f2826,plain,(
% 2.37/0.62 spl248_47),
% 2.37/0.62 inference(avatar_split_clause,[],[f855,f1445])).
% 2.37/0.62 thf(f2958,plain,(
% 2.37/0.62 spl248_117),
% 2.37/0.62 inference(avatar_split_clause,[],[f857,f1764])).
% 2.37/0.62 thf(f3020,plain,(
% 2.37/0.62 spl248_310),
% 2.37/0.62 inference(avatar_split_clause,[],[f909,f2652])).
% 2.37/0.62 thf(f3094,plain,(
% 2.37/0.62 ~spl248_14 | spl248_338),
% 2.37/0.62 inference(avatar_split_clause,[],[f954,f2784,f1301])).
% 2.37/0.62 thf(f3161,definition,(
% 2.37/0.62 spl248_415 <=> ! [X4 : $i,X3 : $i] : (($true = ((in @ (sK188 @ X4 @ X3) @ X4))) | (((subset @ X4 @ X3)) = $true))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_415])],[avatar_definition])).
% 2.37/0.62 thf(f3162,plain,(
% 2.37/0.62 ( ! [X3 : $i,X4 : $i] : ((((subset @ X4 @ X3)) = $true) | ($true = ((in @ (sK188 @ X4 @ X3) @ X4)))) ) | ~spl248_415),
% 2.37/0.62 inference(avatar_component_clause,[],[f3161])).
% 2.37/0.62 thf(f3163,plain,(
% 2.37/0.62 spl248_415 | ~spl248_106),
% 2.37/0.62 inference(avatar_split_clause,[],[f1018,f1714,f3161])).
% 2.37/0.62 thf(f3294,plain,(
% 2.37/0.62 (((nonempty @ (prop2set @ $true))) = $true) | ($true != $true) | (~spl248_56 | ~spl248_329)),
% 2.37/0.62 inference(superposition,[],[f1489,f2747])).
% 2.37/0.62 thf(f3295,plain,(
% 2.37/0.62 (((nonempty @ (prop2set @ $true))) = $true) | (~spl248_56 | ~spl248_329)),
% 2.37/0.62 inference(trivial_inequality_removal,[],[f3294])).
% 2.37/0.62 thf(f3298,definition,(
% 2.37/0.62 spl248_440 <=> (((nonempty @ (prop2set @ $true))) = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_440])],[avatar_definition])).
% 2.37/0.62 thf(f3301,plain,(
% 2.37/0.62 spl248_440 | ~spl248_56 | ~spl248_329),
% 2.37/0.62 inference(avatar_split_clause,[],[f3295,f2745,f1488,f3298])).
% 2.37/0.62 thf(f3312,plain,(
% 2.37/0.62 ( ! [X0 : $i] : (($true != ((in @ X0 @ (prop2set @ (subset @ sK119 @ (setadjoin @ sK120 @ sK119))))))) ) | (spl248_289 | ~spl248_321)),
% 2.37/0.62 inference(unit_resulting_resolution,[],[f2710,f2555])).
% 2.37/0.62 thf(f3363,plain,(
% 2.37/0.62 (emptyset = ((prop2set @ (subset @ sK119 @ (setadjoin @ sK120 @ sK119))))) | ($true != $true) | (~spl248_144 | spl248_289 | ~spl248_321)),
% 2.37/0.62 inference(superposition,[],[f3312,f1890])).
% 2.37/0.62 thf(f3364,plain,(
% 2.37/0.62 (emptyset = ((prop2set @ (subset @ sK119 @ (setadjoin @ sK120 @ sK119))))) | (~spl248_144 | spl248_289 | ~spl248_321)),
% 2.37/0.62 inference(trivial_inequality_removal,[],[f3363])).
% 2.37/0.62 thf(f3367,definition,(
% 2.37/0.62 spl248_443 <=> (emptyset = ((prop2set @ (subset @ sK119 @ (setadjoin @ sK120 @ sK119)))))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_443])],[avatar_definition])).
% 2.37/0.62 thf(f3369,plain,(
% 2.37/0.62 (emptyset = ((prop2set @ (subset @ sK119 @ (setadjoin @ sK120 @ sK119))))) | ~spl248_443),
% 2.37/0.62 inference(avatar_component_clause,[],[f3367])).
% 2.37/0.62 thf(f3370,plain,(
% 2.37/0.62 spl248_443 | ~spl248_144 | spl248_289 | ~spl248_321),
% 2.37/0.62 inference(avatar_split_clause,[],[f3364,f2709,f2553,f1889,f3367])).
% 2.37/0.62 thf(f3376,definition,(
% 2.37/0.62 spl248_445 <=> (((subset @ sK119 @ (setadjoin @ sK120 @ sK119))) = $false)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_445])],[avatar_definition])).
% 2.37/0.62 thf(f3378,plain,(
% 2.37/0.62 (((subset @ sK119 @ (setadjoin @ sK120 @ sK119))) = $false) | ~spl248_445),
% 2.37/0.62 inference(avatar_component_clause,[],[f3376])).
% 2.37/0.62 thf(f3381,plain,(
% 2.37/0.62 (emptyset = ((prop2set @ $true))) | (((subset @ sK119 @ (setadjoin @ sK120 @ sK119))) = $false) | ~spl248_443),
% 2.37/0.62 inference(fool_paramodulation,[],[f3369])).
% 2.37/0.62 thf(f3384,definition,(
% 2.37/0.62 spl248_446 <=> (emptyset = ((prop2set @ $true)))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_446])],[avatar_definition])).
% 2.37/0.62 thf(f3387,plain,(
% 2.37/0.62 spl248_446 | spl248_445 | ~spl248_443),
% 2.37/0.62 inference(avatar_split_clause,[],[f3381,f3367,f3376,f3384])).
% 2.37/0.62 thf(f3396,plain,(
% 2.37/0.62 ($true != ((nonempty @ emptyset))) | (~spl248_5 | ~spl248_186)),
% 2.37/0.62 inference(unit_resulting_resolution,[],[f2076,f1265])).
% 2.37/0.62 thf(f3398,definition,(
% 2.37/0.62 spl248_448 <=> ($true = ((nonempty @ emptyset)))),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_448])],[avatar_definition])).
% 2.37/0.62 thf(f3401,plain,(
% 2.37/0.62 ~spl248_448 | ~spl248_5 | ~spl248_186),
% 2.37/0.62 inference(avatar_split_clause,[],[f3396,f2075,f1264,f3398])).
% 2.37/0.62 thf(f3402,definition,(
% 2.37/0.62 (emptyset != ((prop2set @ $true))) | (((nonempty @ (prop2set @ $true))) != $true) | ($true = ((nonempty @ emptyset)))),
% 2.37/0.62 introduced(theory,[theory_tautology_sat_conflict])).
% 2.37/0.62 thf(f3490,plain,(
% 2.37/0.62 (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ (setadjoin @ sK120 @ sK119))) != $true) | (spl248_289 | ~spl248_331)),
% 2.37/0.62 inference(unit_resulting_resolution,[],[f2755,f2555])).
% 2.37/0.62 thf(f3492,definition,(
% 2.37/0.62 spl248_451 <=> (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ (setadjoin @ sK120 @ sK119))) = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_451])],[avatar_definition])).
% 2.37/0.62 thf(f3494,plain,(
% 2.37/0.62 (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ (setadjoin @ sK120 @ sK119))) != $true) | spl248_451),
% 2.37/0.62 inference(avatar_component_clause,[],[f3492])).
% 2.37/0.62 thf(f3495,plain,(
% 2.37/0.62 ~spl248_451 | spl248_289 | ~spl248_331),
% 2.37/0.62 inference(avatar_split_clause,[],[f3490,f2754,f2553,f3492])).
% 2.37/0.62 thf(f3581,plain,(
% 2.37/0.62 (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ sK119)) = $true) | ($true = $false) | (~spl248_415 | ~spl248_445)),
% 2.37/0.62 inference(superposition,[],[f3162,f3378])).
% 2.37/0.62 thf(f3583,plain,(
% 2.37/0.62 (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ sK119)) = $true) | (~spl248_415 | ~spl248_445)),
% 2.37/0.62 inference(trivial_inequality_removal,[],[f3581])).
% 2.37/0.62 thf(f3586,definition,(
% 2.37/0.62 spl248_461 <=> (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ sK119)) = $true)),
% 2.37/0.62 introduced(definition,[new_symbols(definition,[spl248_461])],[avatar_definition])).
% 2.37/0.62 thf(f3589,plain,(
% 2.37/0.62 spl248_461 | ~spl248_415 | ~spl248_445),
% 2.37/0.62 inference(avatar_split_clause,[],[f3583,f3376,f3161,f3586])).
% 2.37/0.62 thf(f3630,plain,(
% 2.37/0.62 (((in @ (sK188 @ sK119 @ (setadjoin @ sK120 @ sK119)) @ sK119)) != $true) | (~spl248_338 | spl248_451)),
% 2.37/0.62 inference(unit_resulting_resolution,[],[f2785,f3494])).
% 2.37/0.62 thf(f3632,plain,(
% 2.37/0.62 ~spl248_461 | ~spl248_338 | spl248_451),
% 2.37/0.62 inference(avatar_split_clause,[],[f3630,f3492,f2784,f3586])).
% 2.37/0.62 cnf(s36, plain, spl248_56 | ~spl248_57, inference(sat_conversion,[],[f1494])).
% 2.37/0.62 cnf(s79, plain, spl248_112, inference(sat_conversion,[],[f1743])).
% 2.37/0.62 cnf(s109, plain, ~spl248_117 | spl248_144, inference(sat_conversion,[],[f1891])).
% 2.37/0.62 cnf(s144, plain, ~spl248_47 | spl248_186, inference(sat_conversion,[],[f2077])).
% 2.37/0.62 cnf(s153, plain, spl248_14, inference(sat_conversion,[],[f2130])).
% 2.37/0.62 cnf(s155, plain, spl248_106, inference(sat_conversion,[],[f2136])).
% 2.37/0.62 cnf(s235, plain, spl248_261, inference(sat_conversion,[],[f2512])).
% 2.37/0.62 cnf(s244, plain, ~spl248_289, inference(sat_conversion,[],[f2556])).
% 2.37/0.62 cnf(s262, plain, spl248_5 | ~spl248_261, inference(sat_conversion,[],[f2632])).
% 2.37/0.62 cnf(s281, plain, ~spl248_310 | spl248_321, inference(sat_conversion,[],[f2711])).
% 2.37/0.62 cnf(s291, plain, ~spl248_112 | spl248_329, inference(sat_conversion,[],[f2748])).
% 2.37/0.62 cnf(s293, plain, ~spl248_106 | spl248_331, inference(sat_conversion,[],[f2756])).
% 2.37/0.62 cnf(s312, plain, spl248_57, inference(sat_conversion,[],[f2825])).
% 2.37/0.62 cnf(s313, plain, spl248_47, inference(sat_conversion,[],[f2826])).
% 2.37/0.62 cnf(s351, plain, spl248_117, inference(sat_conversion,[],[f2958])).
% 2.37/0.62 cnf(s371, plain, spl248_310, inference(sat_conversion,[],[f3020])).
% 2.37/0.62 cnf(s397, plain, ~spl248_14 | spl248_338, inference(sat_conversion,[],[f3094])).
% 2.37/0.62 cnf(s414, plain, ~spl248_106 | spl248_415, inference(sat_conversion,[],[f3163])).
% 2.37/0.62 cnf(s450, plain, ~spl248_56 | ~spl248_329 | spl248_440, inference(sat_conversion,[],[f3301])).
% 2.37/0.62 cnf(s454, plain, ~spl248_144 | spl248_289 | ~spl248_321 | spl248_443, inference(sat_conversion,[],[f3370])).
% 2.37/0.62 cnf(s459, plain, ~spl248_443 | spl248_445 | spl248_446, inference(sat_conversion,[],[f3387])).
% 2.37/0.62 cnf(s462, plain, ~spl248_5 | ~spl248_186 | ~spl248_448, inference(sat_conversion,[],[f3401])).
% 2.37/0.62 cnf(s463, plain, ~spl248_440 | ~spl248_446 | spl248_448, inference(sat_conversion,[],[f3402])).
% 2.37/0.62 cnf(s475, plain, spl248_289 | ~spl248_331 | ~spl248_451, inference(sat_conversion,[],[f3495])).
% 2.37/0.62 cnf(s488, plain, ~spl248_415 | ~spl248_445 | spl248_461, inference(sat_conversion,[],[f3589])).
% 2.37/0.62 cnf(s501, plain, ~spl248_338 | spl248_451 | ~spl248_461, inference(sat_conversion,[],[f3632])).
% 2.37/0.62 cnf(s529, plain, spl248_321, inference(rat,[],[s281,s371])).
% 2.37/0.62 cnf(s541, plain, spl248_5, inference(rat,[],[s262,s235])).
% 2.37/0.62 cnf(s562, plain, spl248_415, inference(rat,[],[s414,s155])).
% 2.37/0.62 cnf(s563, plain, spl248_331, inference(rat,[],[s293,s155])).
% 2.37/0.62 cnf(s564, plain, ~spl248_451, inference(rat,[],[s475,s244,s563])).
% 2.37/0.62 cnf(s565, plain, spl248_338, inference(rat,[],[s397,s153])).
% 2.37/0.62 cnf(s566, plain, ~spl248_461, inference(rat,[],[s501,s564,s565])).
% 2.37/0.62 cnf(s567, plain, ~spl248_445, inference(rat,[],[s488,s562,s566])).
% 2.37/0.62 cnf(s570, plain, spl248_186, inference(rat,[],[s144,s313])).
% 2.37/0.62 cnf(s572, plain, ~spl248_448, inference(rat,[],[s462,s541,s570])).
% 2.37/0.62 cnf(s581, plain, spl248_144, inference(rat,[],[s109,s351])).
% 2.37/0.62 cnf(s582, plain, spl248_443, inference(rat,[],[s454,s244,s529,s581])).
% 2.37/0.62 cnf(s583, plain, spl248_446, inference(rat,[],[s459,s567,s582])).
% 2.37/0.62 cnf(s584, plain, ~spl248_440, inference(rat,[],[s463,s572,s583])).
% 2.37/0.62 cnf(s595, plain, spl248_329, inference(rat,[],[s291,s79])).
% 2.37/0.62 cnf(s597, plain, ~spl248_56, inference(rat,[],[s450,s584,s595])).
% 2.37/0.62 cnf(s608, plain, $false, inference(rat,[],[s36,s312,s597])).
% 2.37/0.62 thf(f3633,plain,(
% 2.37/0.62 $false),
% 2.37/0.62 inference(avatar_sat_refutation,[],[s608])).
% 2.37/0.62 % SZS output end Proof for theBenchmark
% 2.37/0.62 % (4029402)------------------------------
% 2.37/0.62 % (4029402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.62 % (4029402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.62 % (4029402)CaDiCaL version: 2.1.3
% 2.37/0.62 % (4029402)Termination reason: Refutation
% 2.37/0.62 % (4029402)Time elapsed: 0.074 s
% 2.37/0.62 % (4029402)Peak memory usage: 16 MB
% 2.37/0.62 % (4029402)Instructions burned: 136 (million)
% 2.37/0.62 % (4029255)Success in time 0.394 s
% 2.37/0.62 % Vampire exiting
%------------------------------------------------------------------------------