%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV267^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:38:09 AM UTC 2026
% Result : Theorem 5.50s 1.12s
% Output : Refutation 5.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV267^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 15:31:27 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/0.45 % (734292)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.86/0.45 % (734297)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1363623095:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.86/0.45 % (734298)lrs+10_16_si=on:nwc=1.5:random_seed=4220337273:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.86/0.45 % (734299)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1114498759:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.86/0.45 % (734301)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3514962481:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.86/0.45 % (734300)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=3035900238: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)
% 0.86/0.45 % (734299)Instruction limit reached!
% 0.86/0.45 % (734299)------------------------------
% 0.86/0.45 % (734299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (734299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (734299)CaDiCaL version: 2.1.3
% 0.86/0.45 % (734299)Termination reason: Instruction limit
% 0.86/0.45 % (734299)Termination phase: Saturation
% 0.86/0.45 % (734299)Time elapsed: 0.003 s
% 0.86/0.45 % (734299)Peak memory usage: 11 MB
% 0.86/0.45 % (734299)Instructions burned: 3 (million)
% 0.86/0.45 % (734300)Refutation not found, incomplete strategy
% 0.86/0.45 % (734300)------------------------------
% 0.86/0.45 % (734300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (734300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (734300)CaDiCaL version: 2.1.3
% 0.86/0.45 % (734300)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (734300)Time elapsed: 0.006 s
% 0.86/0.45 % (734300)Peak memory usage: 12 MB
% 0.86/0.45 % (734300)Instructions burned: 5 (million)
% 0.86/0.45 % (734300)------------------------------
% 0.86/0.45 % (734300)------------------------------
% 0.86/0.45 % (734298)Instruction limit reached!
% 0.86/0.45 % (734298)------------------------------
% 0.86/0.45 % (734298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (734298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (734298)CaDiCaL version: 2.1.3
% 0.86/0.45 % (734298)Termination reason: Instruction limit
% 0.86/0.45 % (734298)Termination phase: Saturation
% 0.86/0.45 % (734298)Time elapsed: 0.018 s
% 0.86/0.45 % (734298)Peak memory usage: 12 MB
% 0.86/0.45 % (734298)Instructions burned: 19 (million)
% 0.86/0.45 % (734303)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.86/0.45 % (734303)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
% 0.86/0.45 % (734301)Instruction limit reached!
% 0.86/0.45 % (734301)------------------------------
% 0.86/0.45 % (734301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (734301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (734301)CaDiCaL version: 2.1.3
% 0.86/0.45 % (734301)Termination reason: Instruction limit
% 0.86/0.45 % (734301)Termination phase: Saturation
% 0.86/0.45 % (734301)Time elapsed: 0.023 s
% 0.86/0.45 % (734301)Peak memory usage: 12 MB
% 0.86/0.45 % (734301)Instructions burned: 25 (million)
% 0.86/0.45 % (734297)Instruction limit reached!
% 0.86/0.45 % (734297)------------------------------
% 0.86/0.45 % (734297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (734297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (734297)CaDiCaL version: 2.1.3
% 0.86/0.45 % (734297)Termination reason: Instruction limit
% 0.86/0.45 % (734297)Termination phase: Saturation
% 0.86/0.45 % (734297)Time elapsed: 0.040 s
% 0.86/0.45 % (734297)Peak memory usage: 12 MB
% 0.86/0.45 % (734297)Instructions burned: 87 (million)
% 0.86/0.45 % (734302)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1428609295:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.86/0.49 % (734303)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=1974163105:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.86/0.49 % (734309)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=536130974:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.49 % (734310)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1679311080:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.49 % (734309)Instruction limit reached!
% 0.86/0.49 % (734309)------------------------------
% 0.86/0.49 % (734309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.49 % (734309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.49 % (734309)CaDiCaL version: 2.1.3
% 0.86/0.49 % (734309)Termination reason: Instruction limit
% 0.86/0.49 % (734309)Termination phase: Saturation
% 0.86/0.49 % (734309)Time elapsed: 0.004 s
% 0.86/0.49 % (734309)Peak memory usage: 11 MB
% 0.86/0.49 % (734309)Instructions burned: 3 (million)
% 0.86/0.49 % (734311)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.49 % (734310)Instruction limit reached!
% 0.86/0.49 % (734310)------------------------------
% 0.86/0.49 % (734310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.49 % (734310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.49 % (734310)CaDiCaL version: 2.1.3
% 0.86/0.49 % (734310)Termination reason: Instruction limit
% 0.86/0.49 % (734310)Termination phase: Saturation
% 0.86/0.49 % (734310)Time elapsed: 0.005 s
% 0.86/0.49 % (734310)Peak memory usage: 11 MB
% 0.86/0.49 % (734310)Instructions burned: 5 (million)
% 0.86/0.49 % (734311)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2690788306:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.49 % (734313)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
% 0.86/0.49 % (734313)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.49 % (734312)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1237096698:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.49 % (734311)Instruction limit reached!
% 0.86/0.49 % (734311)------------------------------
% 0.86/0.49 % (734311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.49 % (734311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.49 % (734311)CaDiCaL version: 2.1.3
% 0.86/0.49 % (734311)Termination reason: Instruction limit
% 0.86/0.49 % (734311)Termination phase: Saturation
% 0.86/0.49 % (734311)Time elapsed: 0.007 s
% 0.86/0.49 % (734311)Peak memory usage: 12 MB
% 0.86/0.49 % (734311)Instructions burned: 7 (million)
% 0.86/0.49 % (734313)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=374243361:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.49 % (734312)Instruction limit reached!
% 0.86/0.49 % (734312)------------------------------
% 0.86/0.49 % (734312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.49 % (734312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.49 % (734312)CaDiCaL version: 2.1.3
% 0.86/0.49 % (734312)Termination reason: Instruction limit
% 0.86/0.49 % (734312)Termination phase: Saturation
% 0.86/0.49 % (734312)Time elapsed: 0.013 s
% 0.86/0.49 % (734312)Peak memory usage: 12 MB
% 0.86/0.49 % (734312)Instructions burned: 12 (million)
% 0.86/0.49 % (734319)lrs+10_1_si=on:cs=on:random_seed=3918428555:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.49 % (734318)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=4048276399:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.49 % (734323)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.51/0.53 % (734313)Instruction limit reached!
% 1.51/0.53 % (734313)------------------------------
% 1.51/0.53 % (734313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (734313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (734313)CaDiCaL version: 2.1.3
% 1.51/0.53 % (734313)Termination reason: Instruction limit
% 1.51/0.53 % (734313)Termination phase: Saturation
% 1.51/0.53 % (734313)Time elapsed: 0.027 s
% 1.51/0.53 % (734313)Peak memory usage: 12 MB
% 1.51/0.53 % (734313)Instructions burned: 28 (million)
% 1.51/0.53 % (734319)Instruction limit reached!
% 1.51/0.53 % (734319)------------------------------
% 1.51/0.53 % (734319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (734319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (734319)CaDiCaL version: 2.1.3
% 1.51/0.53 % (734319)Termination reason: Instruction limit
% 1.51/0.53 % (734319)Termination phase: Saturation
% 1.51/0.53 % (734319)Time elapsed: 0.009 s
% 1.51/0.53 % (734319)Peak memory usage: 12 MB
% 1.51/0.53 % (734319)Instructions burned: 8 (million)
% 1.51/0.53 % (734323)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=1284653819:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.51/0.53 % (734323)Instruction limit reached!
% 1.51/0.53 % (734323)------------------------------
% 1.51/0.53 % (734323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (734323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (734323)CaDiCaL version: 2.1.3
% 1.51/0.53 % (734323)Termination reason: Instruction limit
% 1.51/0.53 % (734323)Termination phase: Saturation
% 1.51/0.53 % (734323)Time elapsed: 0.003 s
% 1.51/0.53 % (734323)Peak memory usage: 12 MB
% 1.51/0.53 % (734323)Instructions burned: 2 (million)
% 1.51/0.53 % (734302)Instruction limit reached!
% 1.51/0.53 % (734302)------------------------------
% 1.51/0.53 % (734302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (734302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (734302)CaDiCaL version: 2.1.3
% 1.51/0.53 % (734302)Termination reason: Instruction limit
% 1.51/0.53 % (734302)Termination phase: Saturation
% 1.51/0.53 % (734302)Time elapsed: 0.071 s
% 1.51/0.53 % (734302)Peak memory usage: 13 MB
% 1.51/0.53 % (734302)Instructions burned: 75 (million)
% 1.51/0.53 % (734324)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1040558052:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.51/0.53 % (734303)Instruction limit reached!
% 1.51/0.53 % (734303)------------------------------
% 1.51/0.53 % (734303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (734303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (734303)CaDiCaL version: 2.1.3
% 1.51/0.53 % (734303)Termination reason: Instruction limit
% 1.51/0.53 % (734303)Termination phase: Saturation
% 1.51/0.53 % (734303)Time elapsed: 0.078 s
% 1.51/0.53 % (734303)Peak memory usage: 12 MB
% 1.51/0.53 % (734303)Instructions burned: 159 (million)
% 1.51/0.53 % (734327)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3098123688:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.51/0.53 % (734328)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4114199323:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.51/0.53 % (734333)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=752578301:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.53 % (734327)Refutation not found, incomplete strategy
% 1.51/0.53 % (734327)------------------------------
% 1.51/0.53 % (734327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (734327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (734327)CaDiCaL version: 2.1.3
% 1.51/0.53 % (734327)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (734327)Time elapsed: 0.006 s
% 1.51/0.53 % (734327)Peak memory usage: 12 MB
% 1.51/0.53 % (734327)Instructions burned: 5 (million)
% 1.51/0.53 % (734327)------------------------------
% 2.29/0.63 % (734327)------------------------------
% 2.29/0.63 % (734330)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3731906831:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.29/0.63 % (734331)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4178289389:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.29/0.63 % (734333)Instruction limit reached!
% 2.29/0.63 % (734333)------------------------------
% 2.29/0.63 % (734333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.63 % (734333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.63 % (734333)CaDiCaL version: 2.1.3
% 2.29/0.63 % (734333)Termination reason: Instruction limit
% 2.29/0.63 % (734333)Termination phase: Saturation
% 2.29/0.63 % (734333)Time elapsed: 0.008 s
% 2.29/0.63 % (734333)Peak memory usage: 12 MB
% 2.29/0.63 % (734333)Instructions burned: 16 (million)
% 2.29/0.63 % (734324)Refutation not found, incomplete strategy
% 2.29/0.63 % (734324)------------------------------
% 2.29/0.63 % (734324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.63 % (734324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.63 % (734324)CaDiCaL version: 2.1.3
% 2.29/0.63 % (734324)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.63 % (734324)Time elapsed: 0.032 s
% 2.29/0.63 % (734324)Peak memory usage: 12 MB
% 2.29/0.63 % (734324)Instructions burned: 30 (million)
% 2.29/0.63 % (734324)------------------------------
% 2.29/0.63 % (734324)------------------------------
% 2.29/0.63 % (734330)Instruction limit reached!
% 2.29/0.63 % (734330)------------------------------
% 2.29/0.63 % (734330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.63 % (734330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.63 % (734330)CaDiCaL version: 2.1.3
% 2.29/0.63 % (734330)Termination reason: Instruction limit
% 2.29/0.63 % (734330)Termination phase: Saturation
% 2.29/0.63 % (734330)Time elapsed: 0.015 s
% 2.29/0.63 % (734330)Peak memory usage: 12 MB
% 2.29/0.63 % (734330)Instructions burned: 14 (million)
% 2.29/0.63 % (734328)Instruction limit reached!
% 2.29/0.63 % (734328)------------------------------
% 2.29/0.63 % (734328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.63 % (734328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.63 % (734328)CaDiCaL version: 2.1.3
% 2.29/0.63 % (734328)Termination reason: Instruction limit
% 2.29/0.63 % (734328)Termination phase: Saturation
% 2.29/0.63 % (734328)Time elapsed: 0.025 s
% 2.29/0.63 % (734328)Peak memory usage: 12 MB
% 2.29/0.63 % (734328)Instructions burned: 26 (million)
% 2.29/0.63 % (734340)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=525754731:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.29/0.63 % (734338)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=904681007:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.29/0.63 % (734338)Instruction limit reached!
% 2.29/0.63 % (734338)------------------------------
% 2.29/0.63 % (734338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.63 % (734338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.63 % (734338)CaDiCaL version: 2.1.3
% 2.29/0.63 % (734338)Termination reason: Instruction limit
% 2.29/0.63 % (734338)Termination phase: Saturation
% 2.29/0.63 % (734338)Time elapsed: 0.003 s
% 2.29/0.63 % (734338)Peak memory usage: 11 MB
% 2.29/0.63 % (734338)Instructions burned: 2 (million)
% 2.29/0.63 % (734340)Instruction limit reached!
% 2.29/0.63 % (734340)------------------------------
% 2.29/0.63 % (734340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.63 % (734340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.63 % (734340)CaDiCaL version: 2.1.3
% 2.29/0.63 % (734340)Termination reason: Instruction limit
% 2.29/0.63 % (734340)Termination phase: Saturation
% 2.29/0.63 % (734340)Time elapsed: 0.014 s
% 2.29/0.63 % (734340)Peak memory usage: 12 MB
% 2.29/0.63 % (734340)Instructions burned: 27 (million)
% 2.29/0.63 % (734318)Instruction limit reached!
% 2.29/0.63 % (734318)------------------------------
% 2.29/0.63 % (734318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.73 % (734318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.73 % (734318)CaDiCaL version: 2.1.3
% 2.81/0.73 % (734318)Termination reason: Instruction limit
% 2.81/0.73 % (734318)Termination phase: Saturation
% 2.81/0.73 % (734318)Time elapsed: 0.089 s
% 2.81/0.73 % (734318)Peak memory usage: 13 MB
% 2.81/0.73 % (734318)Instructions burned: 86 (million)
% 2.81/0.73 % (734341)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3165142224:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.81/0.73 % (734343)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.81/0.73 % (734343)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.81/0.73 % (734343)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=2044423631:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.81/0.73 % (734342)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3952098640:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.81/0.73 % (734347)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=343311752:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.81/0.73 % (734346)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.81/0.73 % (734343)Instruction limit reached!
% 2.81/0.73 % (734343)------------------------------
% 2.81/0.73 % (734343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.73 % (734343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.73 % (734343)CaDiCaL version: 2.1.3
% 2.81/0.73 % (734343)Termination reason: Instruction limit
% 2.81/0.73 % (734343)Termination phase: Saturation
% 2.81/0.73 % (734343)Time elapsed: 0.015 s
% 2.81/0.73 % (734343)Peak memory usage: 12 MB
% 2.81/0.73 % (734343)Instructions burned: 14 (million)
% 2.81/0.73 % (734341)Instruction limit reached!
% 2.81/0.73 % (734341)------------------------------
% 2.81/0.73 % (734341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.73 % (734341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.73 % (734341)CaDiCaL version: 2.1.3
% 2.81/0.73 % (734341)Termination reason: Instruction limit
% 2.81/0.73 % (734341)Termination phase: Saturation
% 2.81/0.73 % (734341)Time elapsed: 0.023 s
% 2.81/0.73 % (734341)Peak memory usage: 11 MB
% 2.81/0.73 % (734341)Instructions burned: 24 (million)
% 2.81/0.73 % (734346)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=3159783506:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.81/0.73 % (734348)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1800387506:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.81/0.73 % (734347)Instruction limit reached!
% 2.81/0.73 % (734347)------------------------------
% 2.81/0.73 % (734347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.73 % (734347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.73 % (734347)CaDiCaL version: 2.1.3
% 2.81/0.73 % (734347)Termination reason: Instruction limit
% 2.81/0.73 % (734347)Termination phase: Saturation
% 2.81/0.73 % (734347)Time elapsed: 0.016 s
% 2.81/0.73 % (734347)Peak memory usage: 12 MB
% 2.81/0.73 % (734347)Instructions burned: 32 (million)
% 2.81/0.73 % (734346)Instruction limit reached!
% 2.81/0.73 % (734346)------------------------------
% 2.81/0.73 % (734346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.73 % (734346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.73 % (734346)CaDiCaL version: 2.1.3
% 2.81/0.73 % (734346)Termination reason: Instruction limit
% 2.81/0.73 % (734346)Termination phase: Saturation
% 2.81/0.73 % (734346)Time elapsed: 0.008 s
% 2.81/0.73 % (734346)Peak memory usage: 12 MB
% 2.81/0.73 % (734346)Instructions burned: 8 (million)
% 2.81/0.73 % (734348)Instruction limit reached!
% 2.81/0.79 % (734348)------------------------------
% 2.81/0.79 % (734348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.79 % (734348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.79 % (734348)CaDiCaL version: 2.1.3
% 2.81/0.79 % (734348)Termination reason: Instruction limit
% 2.81/0.79 % (734348)Termination phase: Saturation
% 2.81/0.79 % (734348)Time elapsed: 0.007 s
% 2.81/0.79 % (734348)Peak memory usage: 12 MB
% 2.81/0.79 % (734348)Instructions burned: 7 (million)
% 2.81/0.79 % (734357)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=587657105:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.81/0.79 % (734353)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3921096728:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.81/0.79 % (734354)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1432972729:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.81/0.79 % (734358)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2580135414:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.81/0.79 % (734342)Instruction limit reached!
% 2.81/0.79 % (734342)------------------------------
% 2.81/0.79 % (734342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.79 % (734342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.79 % (734342)CaDiCaL version: 2.1.3
% 2.81/0.79 % (734342)Termination reason: Instruction limit
% 2.81/0.79 % (734342)Termination phase: Saturation
% 2.81/0.79 % (734342)Time elapsed: 0.060 s
% 2.81/0.79 % (734342)Peak memory usage: 12 MB
% 2.81/0.79 % (734342)Instructions burned: 61 (million)
% 2.81/0.79 % (734359)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1498257623:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.81/0.79 % (734353)Instruction limit reached!
% 2.81/0.79 % (734353)------------------------------
% 2.81/0.79 % (734353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.79 % (734353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.79 % (734353)CaDiCaL version: 2.1.3
% 2.81/0.79 % (734353)Termination reason: Instruction limit
% 2.81/0.79 % (734353)Termination phase: Saturation
% 2.81/0.79 % (734353)Time elapsed: 0.018 s
% 2.81/0.79 % (734353)Peak memory usage: 11 MB
% 2.81/0.79 % (734353)Instructions burned: 24 (million)
% 2.81/0.79 % (734354)Instruction limit reached!
% 2.81/0.79 % (734354)------------------------------
% 2.81/0.79 % (734354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.79 % (734354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.79 % (734354)CaDiCaL version: 2.1.3
% 2.81/0.79 % (734354)Termination reason: Instruction limit
% 2.81/0.79 % (734354)Termination phase: Saturation
% 2.81/0.79 % (734354)Time elapsed: 0.020 s
% 2.81/0.79 % (734354)Peak memory usage: 12 MB
% 2.81/0.79 % (734354)Instructions burned: 21 (million)
% 2.81/0.79 % (734366)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.81/0.79 % (734365)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=797743273:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.81/0.79 % (734366)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=77418764:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.81/0.79 % (734367)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2345154793:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.81/0.79 % (734366)Instruction limit reached!
% 2.81/0.79 % (734366)------------------------------
% 2.81/0.79 % (734366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.79 % (734366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.79 % (734366)CaDiCaL version: 2.1.3
% 2.81/0.79 % (734366)Termination reason: Instruction limit
% 2.81/0.79 % (734366)Termination phase: Saturation
% 2.81/0.79 % (734366)Time elapsed: 0.007 s
% 2.81/0.79 % (734366)Peak memory usage: 12 MB
% 2.81/0.79 % (734366)Instructions burned: 7 (million)
% 2.81/0.79 % (734365)Instruction limit reached!
% 2.81/0.79 % (734365)------------------------------
% 3.39/0.88 % (734365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.88 % (734365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.88 % (734365)CaDiCaL version: 2.1.3
% 3.39/0.88 % (734365)Termination reason: Instruction limit
% 3.39/0.88 % (734365)Termination phase: Saturation
% 3.39/0.88 % (734365)Time elapsed: 0.038 s
% 3.39/0.88 % (734365)Peak memory usage: 12 MB
% 3.39/0.88 % (734365)Instructions burned: 42 (million)
% 3.39/0.88 % (734371)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=1939046373:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.39/0.88 % (734371)Refutation not found, incomplete strategy
% 3.39/0.88 % (734371)------------------------------
% 3.39/0.88 % (734371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.88 % (734371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.88 % (734371)CaDiCaL version: 2.1.3
% 3.39/0.88 % (734371)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.88 % (734371)Time elapsed: 0.016 s
% 3.39/0.88 % (734371)Peak memory usage: 12 MB
% 3.39/0.88 % (734371)Instructions burned: 16 (million)
% 3.39/0.88 % (734371)------------------------------
% 3.39/0.88 % (734371)------------------------------
% 3.39/0.88 % (734372)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.39/0.88 % (734372)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=245447960:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.39/0.88 % (734372)Instruction limit reached!
% 3.39/0.88 % (734372)------------------------------
% 3.39/0.88 % (734372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.88 % (734372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.88 % (734372)CaDiCaL version: 2.1.3
% 3.39/0.88 % (734372)Termination reason: Instruction limit
% 3.39/0.88 % (734372)Termination phase: Saturation
% 3.39/0.88 % (734372)Time elapsed: 0.006 s
% 3.39/0.88 % (734372)Peak memory usage: 12 MB
% 3.39/0.88 % (734372)Instructions burned: 6 (million)
% 3.39/0.88 % (734358)Instruction limit reached!
% 3.39/0.88 % (734358)------------------------------
% 3.39/0.88 % (734358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.88 % (734358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.88 % (734358)CaDiCaL version: 2.1.3
% 3.39/0.88 % (734358)Termination reason: Instruction limit
% 3.39/0.88 % (734358)Termination phase: Saturation
% 3.39/0.88 % (734358)Time elapsed: 0.129 s
% 3.39/0.88 % (734358)Peak memory usage: 13 MB
% 3.39/0.88 % (734358)Instructions burned: 143 (million)
% 3.39/0.88 % (734374)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=519618712:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.39/0.88 % (734376)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1500332388:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.39/0.88 % (734374)Instruction limit reached!
% 3.39/0.88 % (734374)------------------------------
% 3.39/0.88 % (734374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.88 % (734374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.88 % (734374)CaDiCaL version: 2.1.3
% 3.39/0.88 % (734374)Termination reason: Instruction limit
% 3.39/0.88 % (734374)Termination phase: Saturation
% 3.39/0.88 % (734374)Time elapsed: 0.022 s
% 3.39/0.88 % (734374)Peak memory usage: 12 MB
% 3.39/0.88 % (734374)Instructions burned: 23 (million)
% 3.39/0.88 % (734378)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=4240007824:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.39/0.88 % (734376)Instruction limit reached!
% 3.39/0.88 % (734376)------------------------------
% 3.39/0.88 % (734376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.88 % (734376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.88 % (734376)CaDiCaL version: 2.1.3
% 3.39/0.88 % (734376)Termination reason: Instruction limit
% 3.89/1.06 % (734376)Termination phase: Saturation
% 3.89/1.06 % (734376)Time elapsed: 0.018 s
% 3.89/1.06 % (734376)Peak memory usage: 12 MB
% 3.89/1.06 % (734376)Instructions burned: 19 (million)
% 3.89/1.06 % (734359)Instruction limit reached!
% 3.89/1.06 % (734359)------------------------------
% 3.89/1.06 % (734359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/1.06 % (734359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.06 % (734359)CaDiCaL version: 2.1.3
% 3.89/1.06 % (734359)Termination reason: Instruction limit
% 3.89/1.06 % (734359)Termination phase: Saturation
% 3.89/1.06 % (734359)Time elapsed: 0.172 s
% 3.89/1.06 % (734359)Peak memory usage: 13 MB
% 3.89/1.06 % (734359)Instructions burned: 193 (million)
% 3.89/1.06 % (734331)Instruction limit reached!
% 3.89/1.06 % (734331)------------------------------
% 3.89/1.06 % (734331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/1.06 % (734331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.06 % (734331)CaDiCaL version: 2.1.3
% 3.89/1.06 % (734331)Termination reason: Instruction limit
% 3.89/1.06 % (734331)Termination phase: Saturation
% 3.89/1.06 % (734331)Time elapsed: 0.290 s
% 3.89/1.06 % (734331)Peak memory usage: 13 MB
% 3.89/1.06 % (734331)Instructions burned: 327 (million)
% 3.89/1.06 % (734380)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=458534409:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.89/1.06 % (734380)Refutation not found, incomplete strategy
% 3.89/1.06 % (734380)------------------------------
% 3.89/1.06 % (734380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/1.06 % (734380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.06 % (734380)CaDiCaL version: 2.1.3
% 3.89/1.06 % (734380)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.06 % (734380)Time elapsed: 0.006 s
% 3.89/1.06 % (734380)Peak memory usage: 12 MB
% 3.89/1.06 % (734380)Instructions burned: 5 (million)
% 3.89/1.06 % (734380)------------------------------
% 3.89/1.06 % (734380)------------------------------
% 3.89/1.06 % (734382)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=2764652453:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.89/1.06 % (734367)Instruction limit reached!
% 3.89/1.06 % (734367)------------------------------
% 3.89/1.06 % (734367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/1.06 % (734367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.06 % (734367)CaDiCaL version: 2.1.3
% 3.89/1.06 % (734367)Termination reason: Instruction limit
% 3.89/1.06 % (734367)Termination phase: Saturation
% 3.89/1.06 % (734367)Time elapsed: 0.164 s
% 3.89/1.06 % (734367)Peak memory usage: 13 MB
% 3.89/1.06 % (734367)Instructions burned: 181 (million)
% 3.89/1.06 % (734383)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3321002021:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.89/1.06 % (734383)Refutation not found, incomplete strategy
% 3.89/1.06 % (734383)------------------------------
% 3.89/1.06 % (734383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/1.06 % (734383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.06 % (734383)CaDiCaL version: 2.1.3
% 3.89/1.06 % (734383)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.06 % (734383)Time elapsed: 0.006 s
% 3.89/1.06 % (734383)Peak memory usage: 12 MB
% 3.89/1.06 % (734383)Instructions burned: 5 (million)
% 3.89/1.06 % (734383)------------------------------
% 3.89/1.06 % (734383)------------------------------
% 3.89/1.06 % (734384)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1527284226:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.89/1.06 % (734386)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.89/1.06 % (734386)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3013608885:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 5.50/1.12 % (734384)Instruction limit reached!
% 5.50/1.12 % (734384)------------------------------
% 5.50/1.12 % (734384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734384)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734384)Termination reason: Instruction limit
% 5.50/1.12 % (734384)Termination phase: Saturation
% 5.50/1.12 % (734384)Time elapsed: 0.020 s
% 5.50/1.12 % (734384)Peak memory usage: 12 MB
% 5.50/1.12 % (734384)Instructions burned: 21 (million)
% 5.50/1.12 % (734389)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=258888490:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 5.50/1.12 % (734382)Instruction limit reached!
% 5.50/1.12 % (734382)------------------------------
% 5.50/1.12 % (734382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734382)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734382)Termination reason: Instruction limit
% 5.50/1.12 % (734382)Termination phase: Saturation
% 5.50/1.12 % (734382)Time elapsed: 0.044 s
% 5.50/1.12 % (734382)Peak memory usage: 12 MB
% 5.50/1.12 % (734382)Instructions burned: 45 (million)
% 5.50/1.12 % (734390)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=2307877354:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.50/1.12 % (734389)Instruction limit reached!
% 5.50/1.12 % (734389)------------------------------
% 5.50/1.12 % (734389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734389)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734389)Termination reason: Instruction limit
% 5.50/1.12 % (734389)Termination phase: Saturation
% 5.50/1.12 % (734389)Time elapsed: 0.014 s
% 5.50/1.12 % (734389)Peak memory usage: 12 MB
% 5.50/1.12 % (734389)Instructions burned: 14 (million)
% 5.50/1.12 % (734394)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2401404914:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.50/1.12 % (734395)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4235895496:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.50/1.12 % (734397)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=765565897:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.50/1.12 % (734395)Refutation not found, incomplete strategy
% 5.50/1.12 % (734395)------------------------------
% 5.50/1.12 % (734395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734395)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734395)Termination reason: Refutation not found, incomplete strategy
% 5.50/1.12 % (734395)Time elapsed: 0.013 s
% 5.50/1.12 % (734395)Peak memory usage: 12 MB
% 5.50/1.12 % (734395)Instructions burned: 13 (million)
% 5.50/1.12 % (734395)------------------------------
% 5.50/1.12 % (734395)------------------------------
% 5.50/1.12 % (734390)Instruction limit reached!
% 5.50/1.12 % (734390)------------------------------
% 5.50/1.12 % (734390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734390)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734390)Termination reason: Instruction limit
% 5.50/1.12 % (734390)Termination phase: Saturation
% 5.50/1.12 % (734390)Time elapsed: 0.061 s
% 5.50/1.12 % (734390)Peak memory usage: 13 MB
% 5.50/1.12 % (734390)Instructions burned: 66 (million)
% 5.50/1.12 % (734394)Instruction limit reached!
% 5.50/1.12 % (734394)------------------------------
% 5.50/1.12 % (734394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734394)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734394)Termination reason: Instruction limit
% 5.50/1.12 % (734394)Termination phase: Saturation
% 5.50/1.12 % (734394)Time elapsed: 0.045 s
% 5.50/1.12 % (734394)Peak memory usage: 12 MB
% 5.50/1.12 % (734394)Instructions burned: 51 (million)
% 5.50/1.12 % (734401)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1983029218:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.50/1.12 % (734403)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.50/1.12 % (734402)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3620573812:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.50/1.12 % (734403)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=312712709:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 5.50/1.12 % (734401)Instruction limit reached!
% 5.50/1.12 % (734401)------------------------------
% 5.50/1.12 % (734401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734401)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734401)Termination reason: Instruction limit
% 5.50/1.12 % (734401)Termination phase: Saturation
% 5.50/1.12 % (734401)Time elapsed: 0.033 s
% 5.50/1.12 % (734401)Peak memory usage: 12 MB
% 5.50/1.12 % (734401)Instructions burned: 35 (million)
% 5.50/1.12 % (734407)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1969315832:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 5.50/1.12 % (734386)Instruction limit reached!
% 5.50/1.12 % (734386)------------------------------
% 5.50/1.12 % (734386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734386)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734386)Termination reason: Instruction limit
% 5.50/1.12 % (734386)Termination phase: Saturation
% 5.50/1.12 % (734386)Time elapsed: 0.166 s
% 5.50/1.12 % (734386)Peak memory usage: 12 MB
% 5.50/1.12 % (734386)Instructions burned: 200 (million)
% 5.50/1.12 % (734402)Instruction limit reached!
% 5.50/1.12 % (734402)------------------------------
% 5.50/1.12 % (734402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734402)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734402)Termination reason: Instruction limit
% 5.50/1.12 % (734402)Termination phase: Saturation
% 5.50/1.12 % (734402)Time elapsed: 0.061 s
% 5.50/1.12 % (734402)Peak memory usage: 12 MB
% 5.50/1.12 % (734402)Instructions burned: 67 (million)
% 5.50/1.12 % (734397)Instruction limit reached!
% 5.50/1.12 % (734397)------------------------------
% 5.50/1.12 % (734397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734397)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734397)Termination reason: Instruction limit
% 5.50/1.12 % (734397)Termination phase: Saturation
% 5.50/1.12 % (734397)Time elapsed: 0.121 s
% 5.50/1.12 % (734397)Peak memory usage: 13 MB
% 5.50/1.12 % (734397)Instructions burned: 137 (million)
% 5.50/1.12 % (734409)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1786806560:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.50/1.12 % (734378)Instruction limit reached!
% 5.50/1.12 % (734378)------------------------------
% 5.50/1.12 % (734378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734378)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734378)Termination reason: Instruction limit
% 5.50/1.12 % (734378)Termination phase: Saturation
% 5.50/1.12 % (734378)Time elapsed: 0.271 s
% 5.50/1.12 % (734378)Peak memory usage: 14 MB
% 5.50/1.12 % (734378)Instructions burned: 317 (million)
% 5.50/1.12 % (734411)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2106743507:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.50/1.12 % (734410)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3193156110:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.50/1.12 % (734413)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1608506710:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.50/1.12 % (734403)Instruction limit reached!
% 5.50/1.12 % (734403)------------------------------
% 5.50/1.12 % (734403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734403)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734403)Termination reason: Instruction limit
% 5.50/1.12 % (734403)Termination phase: Saturation
% 5.50/1.12 % (734403)Time elapsed: 0.146 s
% 5.50/1.12 % (734403)Peak memory usage: 14 MB
% 5.50/1.12 % (734403)Instructions burned: 180 (million)
% 5.50/1.12 % (734409)Instruction limit reached!
% 5.50/1.12 % (734409)------------------------------
% 5.50/1.12 % (734409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.12 % (734409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.12 % (734409)CaDiCaL version: 2.1.3
% 5.50/1.12 % (734409)Termination reason: Instruction limit
% 5.50/1.12 % (734409)Termination phase: Saturation
% 5.50/1.12 % (734409)Time elapsed: 0.086 s
% 5.50/1.12 % (734409)Peak memory usage: 13 MB
% 5.50/1.12 % (734409)Instructions burned: 96 (million)
% 5.50/1.12 % (734417)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1626882758:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 5.50/1.12 % (734357) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-734292-734357"...
% 5.50/1.12 % (734418)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1898326249:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 5.50/1.12 % (734357)...printing done.
% 5.50/1.12 % (734357)Refutation found. Thanks to Tanya!
% 5.50/1.12 % SZS status Theorem for theBenchmark
% 5.50/1.12 % SZS output start Proof for theBenchmark
% 5.50/1.12 thf(type_def_5, type, a: $tType).
% 5.50/1.12 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 5.50/1.12 thf(func_def_1, type, vNOT: ($o > $o)).
% 5.50/1.12 thf(func_def_2, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.50/1.12 thf(func_def_3, type, vIMP: ($o > $o > $o)).
% 5.50/1.12 thf(func_def_4, type, vAND: ($o > $o > $o)).
% 5.50/1.12 thf(func_def_5, type, db1: !>[X0: $tType]:(X0)).
% 5.50/1.12 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 5.50/1.12 thf(func_def_7, type, db2: !>[X0: $tType]:(X0)).
% 5.50/1.12 thf(func_def_8, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 5.50/1.12 thf(func_def_9, type, db3: !>[X0: $tType]:(X0)).
% 5.50/1.12 thf(func_def_10, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.50/1.12 thf(func_def_11, type, db4: !>[X0: $tType]:(X0)).
% 5.50/1.12 thf(func_def_12, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.50/1.12 thf(func_def_13, type, vIFF: ($o > $o > $o)).
% 5.50/1.12 thf(func_def_16, type, sK0: ((a > $o) > $o)).
% 5.50/1.12 thf(func_def_17, type, sK1: (a > $o)).
% 5.50/1.12 thf(func_def_19, type, sK3: ((a > $o) > a > $o)).
% 5.50/1.12 thf(func_def_20, type, sK4: ((a > $o) > (a > $o) > a)).
% 5.50/1.12 thf(func_def_21, type, sK5: ((a > $o) > (a > $o) > a)).
% 5.50/1.12 thf(func_def_22, type, sK6: a).
% 5.50/1.12 thf(func_def_23, type, sK7: ((a > $o) > (a > $o) > a)).
% 5.50/1.12 thf(func_def_24, type, sK8: ((a > $o) > (a > $o) > a)).
% 5.50/1.12 thf(func_def_25, type, sK9: ((a > $o) > (a > $o) > a)).
% 5.50/1.12 thf(func_def_26, type, sK10: ((a > $o) > (a > $o) > a)).
% 5.50/1.12 thf(func_def_27, type, sK11: ((a > $o) > (a > $o) > a > $o)).
% 5.50/1.12 thf(func_def_28, type, sK12: ((a > $o) > (a > $o) > a > $o)).
% 5.50/1.12 thf(func_def_29, type, sK13: (a > a > $o)).
% 5.50/1.12 thf(func_def_30, type, sK14: (a > a > $o)).
% 5.50/1.12 thf(func_def_31, type, sK15: ((a > $o) > (a > $o) > a > $o)).
% 5.50/1.12 thf(func_def_32, type, sK16: ((a > $o) > (a > $o) > a > $o)).
% 5.50/1.12 thf(func_def_33, type, sK17: ((a > $o) > (a > $o) > a > $o)).
% 5.50/1.12 thf(f1,conjecture,(
% 5.50/1.12 ! [X0 : ((a > $o) > $o)] : (! [X1 : (a > $o),X2 : (a > $o)] : (((X2 = (^[X3 : a] : (? [X5 : (a > $o)] : ((X5 @ X3) & ! [X4 : a] : ((X5 @ X4) => (X1 @ X4)) & (X0 @ X5))))) & ! [X3 : (a > $o)] : (((X0 @ X3) & ! [X4 : a] : ((X3 @ X4) => (X1 @ X4))) => (X0 @ X3))) => (X0 @ X2)) => ! [X1 : (a > $o)] : (! [X3 : a] : ((X1 @ X3) => ? [X2 : (a > $o)] : (! [X4 : a] : ((X2 @ X4) => (X1 @ X4)) & ? [X6 : (a > $o)] : ((X0 @ X6) & (X6 @ X3) & ! [X4 : a] : ((X6 @ X4) => (X2 @ X4))))) <=> (X0 @ X1)))),
% 5.50/1.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNBHD_THM1_pme)).
% 5.50/1.12 thf(f2,negated_conjecture,(
% 5.50/1.12 ~ ! [X0 : ((a > $o) > $o)] : (! [X1 : (a > $o),X2 : (a > $o)] : (((X2 = (^[X3 : a] : (? [X5 : (a > $o)] : ((X5 @ X3) & ! [X4 : a] : ((X5 @ X4) => (X1 @ X4)) & (X0 @ X5))))) & ! [X3 : (a > $o)] : (((X0 @ X3) & ! [X4 : a] : ((X3 @ X4) => (X1 @ X4))) => (X0 @ X3))) => (X0 @ X2)) => ! [X1 : (a > $o)] : (! [X3 : a] : ((X1 @ X3) => ? [X2 : (a > $o)] : (! [X4 : a] : ((X2 @ X4) => (X1 @ X4)) & ? [X6 : (a > $o)] : ((X0 @ X6) & (X6 @ X3) & ! [X4 : a] : ((X6 @ X4) => (X2 @ X4))))) <=> (X0 @ X1)))),
% 5.50/1.12 inference(negated_conjecture,[status(cth)],[f1])).
% 5.50/1.12 thf(f3,plain,(
% 5.50/1.12 ~ ! [X0 : ((a > $o) > $o)] : (! [X1 : (a > $o),X2 : (a > $o)] : (((X2 = (^[X3 : a] : (? [X4 : (a > $o)] : ((X4 @ X3) & ! [X5 : a] : ((X4 @ X5) => (X1 @ X5)) & (X0 @ X4))))) & ! [X6 : (a > $o)] : (((X0 @ X6) & ! [X7 : a] : ((X6 @ X7) => (X1 @ X7))) => (X0 @ X6))) => (X0 @ X2)) => ! [X8 : (a > $o)] : (! [X9 : a] : ((X8 @ X9) => ? [X10 : (a > $o)] : (! [X11 : a] : ((X10 @ X11) => (X8 @ X11)) & ? [X12 : (a > $o)] : ((X0 @ X12) & (X12 @ X9) & ! [X13 : a] : ((X12 @ X13) => (X10 @ X13))))) <=> (X0 @ X8)))),
% 5.50/1.12 inference(rectify,[],[f2])).
% 5.50/1.12 thf(f4,plain,(
% 5.50/1.12 ($true = ((~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3)))) & (Y1 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y0 @ Y4) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y2 @ Y5))))) & (Y4 @ Y3))))))) => (Y0 @ Y1)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))) & (Y4 @ Y2)) & (Y0 @ Y4)))) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))))))))) = (Y0 @ Y1))))))))))),
% 5.50/1.12 inference(fool_elimination,[],[f3])).
% 5.50/1.12 thf(f5,plain,(
% 5.50/1.12 ($true = ((~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3)))) & (Y1 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y0 @ Y4) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y2 @ Y5))))) & (Y4 @ Y3))))))) => (Y0 @ Y1)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))) & (Y4 @ Y2)) & (Y0 @ Y4)))) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))))))))) = (Y0 @ Y1))))))))))),
% 5.50/1.12 inference(cnf_transformation,[],[f4])).
% 5.50/1.12 thf(f7,definition,(
% 5.50/1.12 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 5.50/1.12 introduced(theory,[fool_exhaustiveness_axiom])).
% 5.50/1.12 thf(f8,plain,(
% 5.50/1.12 ($false = ((!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3)))) & (Y1 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y0 @ Y4) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y2 @ Y5))))) & (Y4 @ Y3))))))) => (Y0 @ Y1)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))) & (Y4 @ Y2)) & (Y0 @ Y4)))) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))))))))) = (Y0 @ Y1)))))))))),
% 5.50/1.12 inference(not_proxy_clausification,[],[f5])).
% 5.50/1.12 thf(f9,plain,(
% 5.50/1.12 ((((^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3)))) & (Y1 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y0 @ Y4) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y2 @ Y5))))) & (Y4 @ Y3))))))) => (Y0 @ Y1)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ (a > $o) @ (^[Y4 : a > $o]: (((!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))) & (Y4 @ Y2)) & (Y0 @ Y4)))) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))))))))) = (Y0 @ Y1)))))) @ sK0)) = $false)),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f8])).
% 5.50/1.12 thf(f10,plain,(
% 5.50/1.12 ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (sK0 @ Y2)) => (sK0 @ Y2)))) & (Y0 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((sK0 @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4))))) & (Y3 @ Y2))))))) => (sK0 @ Y0)))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y3 @ Y1)) & (sK0 @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))))))))) = (sK0 @ Y0)))))) = $false)),
% 5.50/1.12 inference(beta-eta_normalization,[],[f9])).
% 5.50/1.12 thf(f11,plain,(
% 5.50/1.12 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y3 @ Y1)) & (sK0 @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))))))))) = (sK0 @ Y0))))))),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f10])).
% 5.50/1.12 thf(f12,plain,(
% 5.50/1.12 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (sK0 @ Y2)) => (sK0 @ Y2)))) & (Y0 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((sK0 @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4))))) & (Y3 @ Y2))))))) => (sK0 @ Y0))))))))),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f10])).
% 5.50/1.12 thf(f13,plain,(
% 5.50/1.12 ((((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))) & (Y3 @ Y1)) & (sK0 @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))))))))) = (sK0 @ Y0))) @ sK1)) = $false)),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f11])).
% 5.50/1.12 thf(f14,plain,(
% 5.50/1.12 ((((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2)))))))))) = (sK0 @ sK1))) = $false)),
% 5.50/1.12 inference(beta-eta_normalization,[],[f13])).
% 5.50/1.12 thf(f26,plain,(
% 5.50/1.12 ((((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2)))))))))) = $true)) = $false) | (((sK0 @ sK1)) = $false)),
% 5.50/1.12 inference(superposition,[],[f14,f7])).
% 5.50/1.12 thf(f31,plain,(
% 5.50/1.12 (((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))))) = $false) | (((sK0 @ sK1)) = $false)),
% 5.50/1.12 inference(boolean_simplification,[],[f26])).
% 5.50/1.12 thf(f33,definition,(
% 5.50/1.12 spl2_1 <=> (((sK0 @ sK1)) = $false)),
% 5.50/1.12 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 5.50/1.12 thf(f35,plain,(
% 5.50/1.12 (((sK0 @ sK1)) = $false) | ~spl2_1),
% 5.50/1.12 inference(avatar_component_clause,[],[f33])).
% 5.50/1.12 thf(f37,definition,(
% 5.50/1.12 spl2_2 <=> (((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))))) = $false)),
% 5.50/1.12 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 5.50/1.12 thf(f38,plain,(
% 5.50/1.12 (((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))))) != $false) | spl2_2),
% 5.50/1.12 inference(avatar_component_clause,[],[f37])).
% 5.50/1.12 thf(f39,plain,(
% 5.50/1.12 (((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))))) = $false) | ~spl2_2),
% 5.50/1.12 inference(avatar_component_clause,[],[f37])).
% 5.50/1.12 thf(f41,plain,(
% 5.50/1.12 spl2_2 | spl2_1),
% 5.50/1.12 inference(avatar_split_clause,[],[f31,f33,f37])).
% 5.50/1.12 thf(f42,plain,(
% 5.50/1.12 ( ! [X1 : (a > $o)] : (((((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (sK0 @ Y2)) => (sK0 @ Y2)))) & (Y0 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((sK0 @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4))))) & (Y3 @ Y2))))))) => (sK0 @ Y0))))) @ X1)) = $true)) )),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f12])).
% 5.50/1.12 thf(f43,plain,(
% 5.50/1.12 ( ! [X1 : (a > $o)] : ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (sK0 @ Y1)) => (sK0 @ Y1)))) & (X1 = (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((sK0 @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3))))) & (Y2 @ Y1))))))) => (sK0 @ X1))))) = $true)) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f42])).
% 5.50/1.12 thf(f44,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((((^[Y0 : a > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (sK0 @ Y1)) => (sK0 @ Y1)))) & (X1 = (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((sK0 @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3))))) & (Y2 @ Y1))))))) => (sK0 @ X1))) @ X2)) = $true)) )),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f43])).
% 5.50/1.12 thf(f45,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($true = ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))) & (X1 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((sK0 @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X2 @ Y2))))) & (Y1 @ Y0))))))) => (sK0 @ X1))))) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f44])).
% 5.50/1.12 thf(f46,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))) & (X1 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((sK0 @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X2 @ Y2))))) & (Y1 @ Y0)))))))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f45])).
% 5.50/1.12 thf(f47,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | (((X1 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((sK0 @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X2 @ Y2))))) & (Y1 @ Y0))))))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f46])).
% 5.50/1.12 thf(f48,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((sK0 @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X2 @ Y2))))) & (Y1 @ Y0))))) != X1) | ($true = ((sK0 @ X1))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))))))) )),
% 5.50/1.12 inference(equality_proxy_clausification,[],[f47])).
% 5.50/1.12 thf(f51,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) != (((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((sK0 @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X2 @ Y2))))) & (Y1 @ Y0))))) @ (sK4 @ X1 @ X2)))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(negative_extensionality,[],[f48])).
% 5.50/1.12 thf(f54,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) != ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((sK0 @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1))))) & (Y0 @ (sK4 @ X1 @ X2)))))))) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f51])).
% 5.50/1.12 thf(f57,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($true = ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((sK0 @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1))))) & (Y0 @ (sK4 @ X1 @ X2))))))) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(xor_proxy_clausification,[],[f54])).
% 5.50/1.12 thf(f58,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((sK0 @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1))))) & (Y0 @ (sK4 @ X1 @ X2))))))) | ($true = ((sK0 @ X1))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | (((X1 @ (sK4 @ X1 @ X2))) = $false)) )),
% 5.50/1.12 inference(xor_proxy_clausification,[],[f54])).
% 5.50/1.12 thf(f67,plain,(
% 5.50/1.12 ($false = (((^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))) @ sK6))) | ~spl2_2),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f39])).
% 5.50/1.12 thf(f69,plain,(
% 5.50/1.12 ((($false = (sK0 @ sK1))) = $false) | ~spl2_2),
% 5.50/1.12 inference(superposition,[],[f14,f39])).
% 5.50/1.12 thf(f70,plain,(
% 5.50/1.12 (((~ (sK0 @ sK1))) = $false) | ~spl2_2),
% 5.50/1.12 inference(boolean_simplification,[],[f69])).
% 5.50/1.12 thf(f72,plain,(
% 5.50/1.12 ($false = (((sK1 @ sK6) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (Y1 @ sK6)) & (sK0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1)))))))))) | ~spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f67])).
% 5.50/1.12 thf(f73,plain,(
% 5.50/1.12 (((sK0 @ sK1)) = $true) | ~spl2_2),
% 5.50/1.12 inference(not_proxy_clausification,[],[f70])).
% 5.50/1.12 thf(f74,plain,(
% 5.50/1.12 ($false = ((?? @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (Y1 @ sK6)) & (sK0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1))))))))) | ~spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f72])).
% 5.50/1.12 thf(f75,plain,(
% 5.50/1.12 ($true = ((sK1 @ sK6))) | ~spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f72])).
% 5.50/1.12 thf(f105,plain,(
% 5.50/1.12 ( ! [X1 : (a > $o)] : (((((^[Y0 : a > $o]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (Y1 @ sK6)) & (sK0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1)))))) @ X1)) = $false)) ) | ~spl2_2),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f74])).
% 5.50/1.12 thf(f108,plain,(
% 5.50/1.12 ( ! [X1 : (a > $o)] : (($false = (((?? @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))) & (Y0 @ sK6)) & (sK0 @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0)))))))) ) | ~spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f105])).
% 5.50/1.12 thf(f109,plain,(
% 5.50/1.12 ( ! [X1 : (a > $o)] : (($false = ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))) & (Y0 @ sK6)) & (sK0 @ Y0)))))) | ($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))))))) ) | ~spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f108])).
% 5.50/1.12 thf(f110,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = (((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))) & (Y0 @ sK6)) & (sK0 @ Y0))) @ X2))) | ($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))))))) ) | ~spl2_2),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f109])).
% 5.50/1.12 thf(f113,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0)))))) | ($false = ((((!! @ a @ (^[Y0 : a]: ((X2 @ Y0) => (X1 @ Y0)))) & (X2 @ sK6)) & (sK0 @ X2))))) ) | ~spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f110])).
% 5.50/1.12 thf(f114,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((sK0 @ X2))) | ((((!! @ a @ (^[Y0 : a]: ((X2 @ Y0) => (X1 @ Y0)))) & (X2 @ sK6))) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))))))) ) | ~spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f113])).
% 5.50/1.12 thf(f115,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ a @ (^[Y0 : a]: ((X2 @ Y0) => (X1 @ Y0)))))) | ($false = ((sK0 @ X2))) | (((X2 @ sK6)) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))))))) ) | ~spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f114])).
% 5.50/1.12 thf(f116,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((X2 @ sK6)) = $false) | ($false = ((sK0 @ X2))) | ($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0)))))) | ((((^[Y0 : a]: ((X2 @ Y0) => (X1 @ Y0))) @ (sK10 @ X1 @ X2))) = $false)) ) | ~spl2_2),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f115])).
% 5.50/1.12 thf(f118,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((((X2 @ (sK10 @ X1 @ X2)) => (X1 @ (sK10 @ X1 @ X2)))) = $false) | ($false = ((sK0 @ X2))) | (((X2 @ sK6)) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))))))) ) | ~spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f116])).
% 5.50/1.12 thf(f120,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0)))))) | ($false = ((sK0 @ X2))) | ($false = ((X1 @ (sK10 @ X1 @ X2)))) | (((X2 @ sK6)) = $false)) ) | ~spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f118])).
% 5.50/1.12 thf(f121,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0)))))) | ($false = ((sK0 @ X2))) | (((X2 @ (sK10 @ X1 @ X2))) = $true) | (((X2 @ sK6)) = $false)) ) | ~spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f118])).
% 5.50/1.12 thf(f122,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((sK0 @ X2))) | ($false = ((X1 @ (sK10 @ X1 @ X2)))) | (((X2 @ sK6)) = $false) | ((((^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))) @ (sK10 @ sK1 @ X1))) = $false)) ) | ~spl2_2),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f120])).
% 5.50/1.12 thf(f124,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((X1 @ (sK10 @ X1 @ X2)))) | (((X2 @ sK6)) = $false) | ((((X1 @ (sK10 @ sK1 @ X1)) => (sK1 @ (sK10 @ sK1 @ X1)))) = $false) | ($false = ((sK0 @ X2)))) ) | ~spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f122])).
% 5.50/1.12 thf(f126,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((sK1 @ (sK10 @ sK1 @ X1)))) | (((X2 @ sK6)) = $false) | ($false = ((sK0 @ X2))) | ($false = ((X1 @ (sK10 @ X1 @ X2))))) ) | ~spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f124])).
% 5.50/1.12 thf(f128,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = (((^[Y0 : a > $o]: (((sK0 @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1))))) & (Y0 @ (sK4 @ X1 @ X2)))) @ (sK11 @ X1 @ X2)))) | ($true = ((sK0 @ X1))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))))))) )),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f57])).
% 5.50/1.12 thf(f129,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((((sK0 @ (sK11 @ X1 @ X2)) & (!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) & (sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2)))) = $true) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))))))) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f128])).
% 5.50/1.12 thf(f130,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | (((sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f129])).
% 5.50/1.12 thf(f131,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($true = (((sK0 @ (sK11 @ X1 @ X2)) & (!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))))) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))))))) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f129])).
% 5.50/1.12 thf(f132,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | (((!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) = $true) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f131])).
% 5.50/1.12 thf(f134,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($true = ((sK0 @ X1))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ((((^[Y0 : a > $o]: (((sK0 @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1))))) & (Y0 @ (sK4 @ X1 @ X2)))) @ X3)) = $false)) )),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f58])).
% 5.50/1.12 thf(f137,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | (((((sK0 @ X3) & (!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0))))) & (X3 @ (sK4 @ X1 @ X2)))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f134])).
% 5.50/1.12 thf(f138,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | ((((sK0 @ X3) & (!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) = $false) | ($true = ((sK0 @ X1))) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $false)) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f137])).
% 5.50/1.12 thf(f139,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0)))))) | ($false = ((sK0 @ X3))) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f138])).
% 5.50/1.12 thf(f140,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($true = ((sK0 @ X1))) | ($false = ((sK0 @ X3))) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))) @ (sK3 @ X2))) = $false)) )),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f139])).
% 5.50/1.12 thf(f143,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1))) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) | ($false = ((sK0 @ X3))) | (((((!! @ a @ (^[Y0 : a]: ((sK3 @ X2 @ Y0) => (X2 @ Y0)))) & (sK0 @ (sK3 @ X2))) => (sK0 @ (sK3 @ X2)))) = $false)) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f140])).
% 5.50/1.12 thf(f144,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $false) | ($false = ((sK0 @ X3)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f143])).
% 5.50/1.12 thf(f145,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) | ($false = ((sK0 @ X3))) | ((((!! @ a @ (^[Y0 : a]: ((sK3 @ X2 @ Y0) => (X2 @ Y0)))) & (sK0 @ (sK3 @ X2)))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f143])).
% 5.50/1.12 thf(f146,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($false = ((!! @ a @ (^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0)))))) | ($false = ((sK0 @ X3))) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | (((sK0 @ (sK3 @ X2))) = $true) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f145])).
% 5.50/1.12 thf(f148,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((((^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0))) @ (sK10 @ sK1 @ X1))) = $false) | (((X2 @ (sK10 @ X1 @ X2))) = $true) | (((X2 @ sK6)) = $false) | ($false = ((sK0 @ X2)))) ) | ~spl2_2),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f121])).
% 5.50/1.12 thf(f152,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($false = ((sK0 @ X2))) | (((X2 @ (sK10 @ X1 @ X2))) = $true) | (((X2 @ sK6)) = $false) | ((((X1 @ (sK10 @ sK1 @ X1)) => (sK1 @ (sK10 @ sK1 @ X1)))) = $false)) ) | ~spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f148])).
% 5.50/1.12 thf(f154,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((X2 @ (sK10 @ X1 @ X2))) = $true) | (((X2 @ sK6)) = $false) | ($false = ((sK0 @ X2))) | (((X1 @ (sK10 @ sK1 @ X1))) = $true)) ) | ~spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f152])).
% 5.50/1.12 thf(f169,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $false) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((sK0 @ X3))) | ((((^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0))) @ (sK10 @ X2 @ X3))) = $false)) )),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f144])).
% 5.50/1.12 thf(f172,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) = $false) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = (((X3 @ (sK10 @ X2 @ X3)) => (X2 @ (sK10 @ X2 @ X3))))) | ($false = ((sK0 @ X3))) | (((sK0 @ (sK3 @ X2))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f169])).
% 5.50/1.12 thf(f173,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X3 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $false) | (((X2 @ (sK10 @ X2 @ X3))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((sK0 @ X3)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f172])).
% 5.50/1.12 thf(f174,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X3 @ (sK10 @ X2 @ X3))) = $true) | (((sK0 @ (sK3 @ X2))) = $false) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((sK0 @ X3)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f172])).
% 5.50/1.12 thf(f181,plain,(
% 5.50/1.12 ($false != $false) | ($false = ((sK1 @ sK6))) | ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | (((sK0 @ sK1)) = $false) | ~spl2_2),
% 5.50/1.12 inference(equality_factoring,[],[f126])).
% 5.50/1.12 thf(f183,plain,(
% 5.50/1.12 ($false = ((sK1 @ sK6))) | (((sK0 @ sK1)) = $false) | ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | ~spl2_2),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f181])).
% 5.50/1.12 thf(f184,plain,(
% 5.50/1.12 ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | (((sK0 @ sK1)) = $false) | ($false = $true) | ~spl2_2),
% 5.50/1.12 inference(forward_demodulation,[],[f183,f75])).
% 5.50/1.12 thf(f185,plain,(
% 5.50/1.12 (((sK0 @ sK1)) = $false) | ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | ~spl2_2),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f184])).
% 5.50/1.12 thf(f190,plain,(
% 5.50/1.12 ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | ($false = $true) | ~spl2_2),
% 5.50/1.12 inference(forward_demodulation,[],[f185,f73])).
% 5.50/1.12 thf(f191,plain,(
% 5.50/1.12 ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | ~spl2_2),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f190])).
% 5.50/1.12 thf(f198,definition,(
% 5.50/1.12 spl2_6 <=> ($false = ((sK1 @ (sK10 @ sK1 @ sK1))))),
% 5.50/1.12 introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition])).
% 5.50/1.12 thf(f200,plain,(
% 5.50/1.12 ($false = ((sK1 @ (sK10 @ sK1 @ sK1)))) | ~spl2_6),
% 5.50/1.12 inference(avatar_component_clause,[],[f198])).
% 5.50/1.12 thf(f225,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))) @ (sK3 @ X2))) = $false)) )),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f130])).
% 5.50/1.12 thf(f228,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((((!! @ a @ (^[Y0 : a]: ((sK3 @ X2 @ Y0) => (X2 @ Y0)))) & (sK0 @ (sK3 @ X2))) => (sK0 @ (sK3 @ X2)))) = $false) | (((sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f225])).
% 5.50/1.12 thf(f229,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | (((sK0 @ (sK3 @ X2))) = $false) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f228])).
% 5.50/1.12 thf(f230,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((((!! @ a @ (^[Y0 : a]: ((sK3 @ X2 @ Y0) => (X2 @ Y0)))) & (sK0 @ (sK3 @ X2)))) = $true) | ($true = ((sK0 @ X1))) | (((sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f228])).
% 5.50/1.12 thf(f231,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((sK11 @ X1 @ X2 @ (sK4 @ X1 @ X2))) = $true) | (((sK0 @ (sK3 @ X2))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f230])).
% 5.50/1.12 thf(f235,plain,(
% 5.50/1.12 spl2_6 | ~spl2_2),
% 5.50/1.12 inference(avatar_split_clause,[],[f191,f37,f198])).
% 5.50/1.12 thf(f293,plain,(
% 5.50/1.12 (((sK0 @ sK1)) = $false) | ($false = $true) | ($false = ((sK1 @ sK6))) | ($false = $true) | (~spl2_2 | ~spl2_6)),
% 5.50/1.12 inference(superposition,[],[f154,f200])).
% 5.50/1.12 thf(f294,plain,(
% 5.50/1.12 ($false = ((sK1 @ sK6))) | ($false = $true) | (((sK0 @ sK1)) = $false) | (~spl2_2 | ~spl2_6)),
% 5.50/1.12 inference(duplicate_literal_removal,[],[f293])).
% 5.50/1.12 thf(f295,plain,(
% 5.50/1.12 ($false = ((sK1 @ sK6))) | (((sK0 @ sK1)) = $false) | (~spl2_2 | ~spl2_6)),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f294])).
% 5.50/1.12 thf(f298,plain,(
% 5.50/1.12 (((sK0 @ sK1)) = $false) | ($false = $true) | (~spl2_2 | ~spl2_6)),
% 5.50/1.12 inference(forward_demodulation,[],[f295,f75])).
% 5.50/1.12 thf(f299,plain,(
% 5.50/1.12 (((sK0 @ sK1)) = $false) | (~spl2_2 | ~spl2_6)),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f298])).
% 5.50/1.12 thf(f302,plain,(
% 5.50/1.12 spl2_1 | ~spl2_2 | ~spl2_6),
% 5.50/1.12 inference(avatar_split_clause,[],[f299,f198,f37,f33])).
% 5.50/1.12 thf(f308,plain,(
% 5.50/1.12 ((((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2)))))))))) = $false)) = $false) | ~spl2_1),
% 5.50/1.12 inference(superposition,[],[f14,f35])).
% 5.50/1.12 thf(f310,plain,(
% 5.50/1.12 ($false = ((~ (!! @ a @ (^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))))))) | ~spl2_1),
% 5.50/1.12 inference(boolean_simplification,[],[f308])).
% 5.50/1.12 thf(f315,plain,(
% 5.50/1.12 (((~ $false)) = $false) | (~spl2_1 | ~spl2_2)),
% 5.50/1.12 inference(forward_demodulation,[],[f310,f39])).
% 5.50/1.12 thf(f316,plain,(
% 5.50/1.12 ($false = $true) | (~spl2_1 | ~spl2_2)),
% 5.50/1.12 inference(boolean_simplification,[],[f315])).
% 5.50/1.12 thf(f317,plain,(
% 5.50/1.12 $false | (~spl2_1 | ~spl2_2)),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f316])).
% 5.50/1.12 thf(f318,plain,(
% 5.50/1.12 ~spl2_1 | ~spl2_2),
% 5.50/1.12 inference(avatar_contradiction_clause,[],[f317])).
% 5.50/1.12 thf(f320,plain,(
% 5.50/1.12 ( ! [X1 : a] : (((((^[Y0 : a]: ((sK1 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))) & (Y2 @ Y0)) & (sK0 @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2))))))))) @ X1)) = $true)) ) | spl2_2),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f38])).
% 5.50/1.12 thf(f322,plain,(
% 5.50/1.12 ( ! [X1 : a] : (((((sK1 @ X1) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (Y1 @ X1)) & (sK0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1))))))))) = $true)) ) | spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f320])).
% 5.50/1.12 thf(f323,plain,(
% 5.50/1.12 ( ! [X1 : a] : ((((?? @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (Y1 @ X1)) & (sK0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1)))))))) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f322])).
% 5.50/1.12 thf(f324,plain,(
% 5.50/1.12 ( ! [X1 : a] : (((((^[Y0 : a > $o]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))) & (Y1 @ X1)) & (sK0 @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1)))))) @ (sK13 @ X1))) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f323])).
% 5.50/1.12 thf(f325,plain,(
% 5.50/1.12 ( ! [X1 : a] : (($false = ((sK1 @ X1))) | ((((?? @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK13 @ X1 @ Y1)))) & (Y0 @ X1)) & (sK0 @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((sK13 @ X1 @ Y0) => (sK1 @ Y0)))))) = $true)) ) | spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f324])).
% 5.50/1.12 thf(f326,plain,(
% 5.50/1.12 ( ! [X1 : a] : ((((!! @ a @ (^[Y0 : a]: ((sK13 @ X1 @ Y0) => (sK1 @ Y0))))) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f325])).
% 5.50/1.12 thf(f327,plain,(
% 5.50/1.12 ( ! [X1 : a] : ((((?? @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK13 @ X1 @ Y1)))) & (Y0 @ X1)) & (sK0 @ Y0))))) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f325])).
% 5.50/1.12 thf(f328,plain,(
% 5.50/1.12 ( ! [X2 : a,X1 : a] : (($false = ((sK1 @ X1))) | ($true = (((^[Y0 : a]: ((sK13 @ X1 @ Y0) => (sK1 @ Y0))) @ X2)))) ) | spl2_2),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f326])).
% 5.50/1.12 thf(f329,plain,(
% 5.50/1.12 ( ! [X2 : a,X1 : a] : (($false = ((sK1 @ X1))) | ($true = (((sK13 @ X1 @ X2) => (sK1 @ X2))))) ) | spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f328])).
% 5.50/1.12 thf(f330,plain,(
% 5.50/1.12 ( ! [X2 : a,X1 : a] : (($false = ((sK13 @ X1 @ X2))) | ($false = ((sK1 @ X1))) | ($true = ((sK1 @ X2)))) ) | spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f329])).
% 5.50/1.12 thf(f337,plain,(
% 5.50/1.12 ( ! [X1 : a] : (($false = ((sK1 @ X1))) | ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK13 @ X1 @ Y1)))) & (Y0 @ X1)) & (sK0 @ Y0))) @ (sK14 @ X1))) = $true)) ) | spl2_2),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f327])).
% 5.50/1.12 thf(f338,plain,(
% 5.50/1.12 ( ! [X1 : a] : (($false = ((sK1 @ X1))) | (((((!! @ a @ (^[Y0 : a]: ((sK14 @ X1 @ Y0) => (sK13 @ X1 @ Y0)))) & (sK14 @ X1 @ X1)) & (sK0 @ (sK14 @ X1)))) = $true)) ) | spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f337])).
% 5.50/1.12 thf(f339,plain,(
% 5.50/1.12 ( ! [X1 : a] : ((((sK0 @ (sK14 @ X1))) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f338])).
% 5.50/1.12 thf(f340,plain,(
% 5.50/1.12 ( ! [X1 : a] : (($true = (((!! @ a @ (^[Y0 : a]: ((sK14 @ X1 @ Y0) => (sK13 @ X1 @ Y0)))) & (sK14 @ X1 @ X1)))) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f338])).
% 5.50/1.12 thf(f341,plain,(
% 5.50/1.12 ( ! [X1 : a] : ((((sK14 @ X1 @ X1)) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f340])).
% 5.50/1.12 thf(f342,plain,(
% 5.50/1.12 ( ! [X1 : a] : ((((!! @ a @ (^[Y0 : a]: ((sK14 @ X1 @ Y0) => (sK13 @ X1 @ Y0))))) = $true) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(and_proxy_clausification,[],[f340])).
% 5.50/1.12 thf(f346,plain,(
% 5.50/1.12 ( ! [X2 : a,X1 : a] : (($false = ((sK1 @ X1))) | ((((^[Y0 : a]: ((sK14 @ X1 @ Y0) => (sK13 @ X1 @ Y0))) @ X2)) = $true)) ) | spl2_2),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f342])).
% 5.50/1.12 thf(f347,plain,(
% 5.50/1.12 ( ! [X2 : a,X1 : a] : (($false = ((sK1 @ X1))) | ((((sK14 @ X1 @ X2) => (sK13 @ X1 @ X2))) = $true)) ) | spl2_2),
% 5.50/1.12 inference(beta-eta_normalization,[],[f346])).
% 5.50/1.12 thf(f348,plain,(
% 5.50/1.12 ( ! [X2 : a,X1 : a] : (($true = ((sK13 @ X1 @ X2))) | (((sK14 @ X1 @ X2)) = $false) | ($false = ((sK1 @ X1)))) ) | spl2_2),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f347])).
% 5.50/1.12 thf(f350,plain,(
% 5.50/1.12 ( ! [X0 : a,X1 : a] : (($false = $true) | ($false = ((sK1 @ X0))) | (((sK1 @ X1)) = $true) | (((sK14 @ X0 @ X1)) = $false) | ($false = ((sK1 @ X0)))) ) | spl2_2),
% 5.50/1.12 inference(superposition,[],[f330,f348])).
% 5.50/1.12 thf(f351,plain,(
% 5.50/1.12 ( ! [X0 : a,X1 : a] : ((((sK1 @ X1)) = $true) | ($false = $true) | (((sK14 @ X0 @ X1)) = $false) | ($false = ((sK1 @ X0)))) ) | spl2_2),
% 5.50/1.12 inference(duplicate_literal_removal,[],[f350])).
% 5.50/1.12 thf(f352,plain,(
% 5.50/1.12 ( ! [X0 : a,X1 : a] : ((((sK14 @ X0 @ X1)) = $false) | ($false = ((sK1 @ X0))) | (((sK1 @ X1)) = $true)) ) | spl2_2),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f351])).
% 5.50/1.12 thf(f360,plain,(
% 5.50/1.12 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | ($false = $true) | (((sK0 @ (sK3 @ X1))) = $false) | (((X1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((sK0 @ X0)) = $true)) ) | spl2_2),
% 5.50/1.12 inference(superposition,[],[f173,f341])).
% 5.50/1.12 thf(f372,plain,(
% 5.50/1.12 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $false) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ X0)) = $true)) ) | spl2_2),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f360])).
% 5.50/1.12 thf(f455,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((sK0 @ (sK3 @ X2))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1))) | ((((^[Y0 : a]: ((X3 @ Y0) => (X2 @ Y0))) @ (sK10 @ X2 @ X3))) = $false) | ($false = ((sK0 @ X3))) | (((X3 @ (sK4 @ X1 @ X2))) = $false)) )),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f146])).
% 5.50/1.12 thf(f457,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : (($false = ((sK0 @ X3))) | ($false = (((X3 @ (sK10 @ X2 @ X3)) => (X2 @ (sK10 @ X2 @ X3))))) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | (((sK0 @ (sK3 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((X3 @ (sK4 @ X1 @ X2))) = $false)) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f455])).
% 5.50/1.12 thf(f459,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X3 @ (sK4 @ X1 @ X2))) = $false) | (((sK0 @ (sK3 @ X2))) = $true) | (((X2 @ (sK10 @ X2 @ X3))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $false) | ($true = ((sK0 @ X1))) | ($false = ((sK0 @ X3)))) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f457])).
% 5.50/1.12 thf(f460,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : (a > $o),X1 : (a > $o)] : ((((X3 @ (sK10 @ X2 @ X3))) = $true) | (((sK0 @ (sK3 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((X3 @ (sK4 @ X1 @ X2))) = $false) | ($false = ((sK0 @ X3))) | (((X1 @ (sK4 @ X1 @ X2))) = $false)) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f457])).
% 5.50/1.12 thf(f474,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X0 : a,X1 : (a > $o)] : ((((X2 @ (sK4 @ X2 @ X1))) = $false) | (((sK0 @ X2)) = $true) | ($false = ((sK14 @ X0 @ (sK4 @ X2 @ X1)))) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ (sK14 @ X0))) = $false) | ($false = $true) | (((sK1 @ (sK10 @ X1 @ (sK14 @ X0)))) = $true) | ($false = ((sK1 @ X0)))) ) | spl2_2),
% 5.50/1.12 inference(superposition,[],[f174,f352])).
% 5.50/1.12 thf(f478,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X0 : a,X1 : (a > $o)] : (($false = ((sK14 @ X0 @ (sK4 @ X2 @ X1)))) | ($false = ((sK1 @ X0))) | (((sK0 @ (sK14 @ X0))) = $false) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ X2)) = $true) | (((X2 @ (sK4 @ X2 @ X1))) = $false) | (((sK1 @ (sK10 @ X1 @ (sK14 @ X0)))) = $true)) ) | spl2_2),
% 5.50/1.12 inference(trivial_inequality_removal,[],[f474])).
% 5.50/1.12 thf(f579,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($true = ((sK0 @ X1))) | (((!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X2 @ Y1)))) & (sK0 @ Y0)) => (sK0 @ Y0))) @ (sK3 @ X2))) = $false)) )),
% 5.50/1.12 inference(sigma_proxy_clausification,[],[f132])).
% 5.50/1.12 thf(f582,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (($true = ((sK0 @ X1))) | (((((!! @ a @ (^[Y0 : a]: ((sK3 @ X2 @ Y0) => (X2 @ Y0)))) & (sK0 @ (sK3 @ X2))) => (sK0 @ (sK3 @ X2)))) = $false) | (((!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.12 inference(beta-eta_normalization,[],[f579])).
% 5.50/1.12 thf(f583,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $false)) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f582])).
% 5.50/1.12 thf(f584,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : (((((!! @ a @ (^[Y0 : a]: ((sK3 @ X2 @ Y0) => (X2 @ Y0)))) & (sK0 @ (sK3 @ X2)))) = $true) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | (((!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) = $true)) )),
% 5.50/1.12 inference(imp_proxy_clausification,[],[f582])).
% 5.50/1.12 thf(f585,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X1 : (a > $o)] : ((((!! @ a @ (^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))))) = $true) | (((sK0 @ (sK3 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.12 inference(and_proxy_clausification,[],[f584])).
% 5.50/1.12 thf(f687,plain,(
% 5.50/1.12 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : (((((^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))) @ X3)) = $true) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.12 inference(pi_proxy_clausification,[],[f583])).
% 5.50/1.12 thf(f688,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : ((((sK0 @ (sK3 @ X2))) = $false) | ((((sK11 @ X1 @ X2 @ X3) => (X2 @ X3))) = $true) | ($true = ((sK0 @ X1))) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.13 inference(beta-eta_normalization,[],[f687])).
% 5.50/1.13 thf(f689,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : (($false = ((sK11 @ X1 @ X2 @ X3))) | ($true = ((X2 @ X3))) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $false) | (((X1 @ (sK4 @ X1 @ X2))) = $true)) )),
% 5.50/1.13 inference(imp_proxy_clausification,[],[f688])).
% 5.50/1.13 thf(f691,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X0 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ X0)) = $true) | ($false = $true) | (((sK0 @ (sK3 @ X1))) = $false) | (((X1 @ (sK4 @ X0 @ X1))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(superposition,[],[f689,f229])).
% 5.50/1.13 thf(f704,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X0 @ (sK4 @ X0 @ X1))) = $true) | ($false = $true) | (((sK0 @ (sK3 @ X1))) = $false) | (((X1 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f691])).
% 5.50/1.13 thf(f705,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X0 @ X1))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f704])).
% 5.50/1.13 thf(f722,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((sK0 @ X0)) = $true) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | (((X1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $false) | ($false = $true) | (((sK0 @ (sK3 @ X1))) = $true) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((X0 @ (sK4 @ X0 @ X1))) = $false)) ) | spl2_2),
% 5.50/1.13 inference(superposition,[],[f341,f459])).
% 5.50/1.13 thf(f728,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $false) | (((sK0 @ (sK3 @ X1))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1))))) ) | spl2_2),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f722])).
% 5.50/1.13 thf(f750,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X0 : a,X1 : (a > $o)] : (($false = $true) | (((sK0 @ (sK14 @ X0))) = $false) | ($false = ((sK1 @ X0))) | (((sK0 @ X2)) = $true) | (((X2 @ (sK4 @ X2 @ X1))) = $false) | (((sK1 @ (sK10 @ X1 @ (sK14 @ X0)))) = $true) | ($false = ((sK14 @ X0 @ (sK4 @ X2 @ X1)))) | (((sK0 @ (sK3 @ X1))) = $true)) ) | spl2_2),
% 5.50/1.13 inference(superposition,[],[f460,f352])).
% 5.50/1.13 thf(f760,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X0 : a,X1 : (a > $o)] : (($false = ((sK14 @ X0 @ (sK4 @ X2 @ X1)))) | (((sK0 @ X2)) = $true) | (((sK1 @ (sK10 @ X1 @ (sK14 @ X0)))) = $true) | (((sK0 @ (sK3 @ X1))) = $true) | (((X2 @ (sK4 @ X2 @ X1))) = $false) | (((sK0 @ (sK14 @ X0))) = $false) | ($false = ((sK1 @ X0)))) ) | spl2_2),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f750])).
% 5.50/1.13 thf(f1310,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK0 @ (sK3 @ X0)))) | (((X0 @ (sK4 @ X0 @ X0))) = $true) | ($true != $true) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(equality_factoring,[],[f705])).
% 5.50/1.13 thf(f1331,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : ((((X0 @ (sK4 @ X0 @ X0))) = $true) | ($false = ((sK0 @ (sK3 @ X0)))) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f1310])).
% 5.50/1.13 thf(f1930,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : ((((sK0 @ (sK3 @ X2))) = $true) | ((((^[Y0 : a]: ((sK11 @ X1 @ X2 @ Y0) => (X2 @ Y0))) @ X3)) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.13 inference(pi_proxy_clausification,[],[f585])).
% 5.50/1.13 thf(f1931,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : (((((sK11 @ X1 @ X2 @ X3) => (X2 @ X3))) = $true) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK3 @ X2))) = $true)) )),
% 5.50/1.13 inference(beta-eta_normalization,[],[f1930])).
% 5.50/1.13 thf(f1932,plain,(
% 5.50/1.13 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : (($false = ((sK11 @ X1 @ X2 @ X3))) | (((sK0 @ (sK3 @ X2))) = $true) | ($true = ((X2 @ X3))) | (((X1 @ (sK4 @ X1 @ X2))) = $true) | ($true = ((sK0 @ X1)))) )),
% 5.50/1.13 inference(imp_proxy_clausification,[],[f1931])).
% 5.50/1.13 thf(f2016,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $true) | (((X1 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $true) | ($false = $true)) )),
% 5.50/1.13 inference(superposition,[],[f231,f1932])).
% 5.50/1.13 thf(f2048,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ X0)) = $true) | ($false = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ (sK3 @ X1))) = $true)) )),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f2016])).
% 5.50/1.13 thf(f2049,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((X1 @ (sK4 @ X0 @ X1))) = $true) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $true)) )),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f2048])).
% 5.50/1.13 thf(f2415,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($true = ((sK0 @ (sK3 @ X0)))) | (((X0 @ (sK4 @ X0 @ X0))) = $true) | ($true != $true) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(equality_factoring,[],[f2049])).
% 5.50/1.13 thf(f2459,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : ((((X0 @ (sK4 @ X0 @ X0))) = $true) | ($true = ((sK0 @ (sK3 @ X0)))) | (((sK0 @ X0)) = $true)) )),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f2415])).
% 5.50/1.13 thf(f2890,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : (($false = $true) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((sK1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | (((sK0 @ X0)) = $true)) ) | spl2_2),
% 5.50/1.13 inference(superposition,[],[f478,f341])).
% 5.50/1.13 thf(f2911,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | ($false = $true) | (((sK0 @ X0)) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $true)) ) | spl2_2),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f2890])).
% 5.50/1.13 thf(f2912,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((sK1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $false) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1))))) ) | spl2_2),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f2911])).
% 5.50/1.13 thf(f3095,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : (($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $true) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | (((sK1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $true) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | ($false = $true)) ) | spl2_2),
% 5.50/1.13 inference(superposition,[],[f341,f760])).
% 5.50/1.13 thf(f3103,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | ($false = $true) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $true) | (((sK1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $true)) ) | spl2_2),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f3095])).
% 5.50/1.13 thf(f3104,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o),X1 : (a > $o)] : ((((sK1 @ (sK10 @ X1 @ (sK14 @ (sK4 @ X0 @ X1))))) = $true) | (((X0 @ (sK4 @ X0 @ X1))) = $false) | ($false = ((sK1 @ (sK4 @ X0 @ X1)))) | (((sK0 @ (sK14 @ (sK4 @ X0 @ X1)))) = $false) | (((sK0 @ X0)) = $true) | (((sK0 @ (sK3 @ X1))) = $true)) ) | spl2_2),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f3103])).
% 5.50/1.13 thf(f3774,definition,(
% 5.50/1.13 spl2_21 <=> ($false = ((sK0 @ (sK3 @ sK1))))),
% 5.50/1.13 introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition])).
% 5.50/1.13 thf(f3776,plain,(
% 5.50/1.13 ($false = ((sK0 @ (sK3 @ sK1)))) | ~spl2_21),
% 5.50/1.13 inference(avatar_component_clause,[],[f3774])).
% 5.50/1.13 thf(f8732,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK0 @ (sK3 @ sK1)))) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = $true) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true) | ($false = ((sK0 @ (sK3 @ sK1)))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1)))))) ) | spl2_2),
% 5.50/1.13 inference(superposition,[],[f2912,f372])).
% 5.50/1.13 thf(f8738,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK0 @ (sK3 @ sK1)))) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true) | ($false = $true)) ) | spl2_2),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f8732])).
% 5.50/1.13 thf(f8739,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK0 @ (sK3 @ sK1)))) | (((sK0 @ X0)) = $true) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1)))))) ) | spl2_2),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f8738])).
% 5.50/1.13 thf(f8878,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : ((((sK0 @ X0)) = $true) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($true = ((sK0 @ (sK3 @ sK1)))) | ($false = $true) | ($true = ((sK0 @ (sK3 @ sK1)))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true)) ) | spl2_2),
% 5.50/1.13 inference(superposition,[],[f728,f3104])).
% 5.50/1.13 thf(f8891,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($true = ((sK0 @ (sK3 @ sK1)))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = $true) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true)) ) | spl2_2),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f8878])).
% 5.50/1.13 thf(f8892,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true) | ($true = ((sK0 @ (sK3 @ sK1)))) | ($false = ((X0 @ (sK4 @ X0 @ sK1))))) ) | spl2_2),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f8891])).
% 5.50/1.13 thf(f8901,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((X0 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true) | ($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = $true) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1)))))) ) | (spl2_2 | ~spl2_21)),
% 5.50/1.13 inference(forward_demodulation,[],[f8892,f3776])).
% 5.50/1.13 thf(f8902,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : ((((sK0 @ X0)) = $true) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1))))) ) | (spl2_2 | ~spl2_21)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f8901])).
% 5.50/1.13 thf(f8906,definition,(
% 5.50/1.13 spl2_63 <=> ! [X0 : (a > $o)] : (($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | (((sK0 @ X0)) = $true))),
% 5.50/1.13 introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition])).
% 5.50/1.13 thf(f8907,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK0 @ (sK14 @ (sK4 @ X0 @ sK1))))) | (((sK0 @ X0)) = $true) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1))))) ) | ~spl2_63),
% 5.50/1.13 inference(avatar_component_clause,[],[f8906])).
% 5.50/1.13 thf(f8910,plain,(
% 5.50/1.13 spl2_63 | spl2_2 | ~spl2_21),
% 5.50/1.13 inference(avatar_split_clause,[],[f8902,f3774,f37,f8906])).
% 5.50/1.13 thf(f8927,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | ($false = $true) | (((sK0 @ X0)) = $true) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1))))) ) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(superposition,[],[f8907,f339])).
% 5.50/1.13 thf(f8930,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = $true) | (((sK0 @ X0)) = $true) | ($false = ((X0 @ (sK4 @ X0 @ sK1)))) | ($false = ((sK1 @ (sK4 @ X0 @ sK1))))) ) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f8927])).
% 5.50/1.13 thf(f8931,plain,(
% 5.50/1.13 ( ! [X0 : (a > $o)] : (($false = ((sK1 @ (sK4 @ X0 @ sK1)))) | (((sK0 @ X0)) = $true) | ($false = ((X0 @ (sK4 @ X0 @ sK1))))) ) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f8930])).
% 5.50/1.13 thf(f9005,plain,(
% 5.50/1.13 (((sK0 @ sK1)) = $true) | ($false = $true) | ($false = $true) | (((sK0 @ sK1)) = $true) | ($true = ((sK0 @ (sK3 @ sK1)))) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(superposition,[],[f8931,f2459])).
% 5.50/1.13 thf(f9006,plain,(
% 5.50/1.13 ($false = $true) | (((sK0 @ sK1)) = $true) | ($false = $true) | (((sK0 @ sK1)) = $true) | ($false = ((sK0 @ (sK3 @ sK1)))) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(superposition,[],[f8931,f1331])).
% 5.50/1.13 thf(f9034,plain,(
% 5.50/1.13 (((sK0 @ sK1)) = $true) | ($true = ((sK0 @ (sK3 @ sK1)))) | ($false = $true) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f9005])).
% 5.50/1.13 thf(f9035,plain,(
% 5.50/1.13 (((sK0 @ sK1)) = $true) | ($true = ((sK0 @ (sK3 @ sK1)))) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f9034])).
% 5.50/1.13 thf(f9042,plain,(
% 5.50/1.13 (((sK0 @ sK1)) = $true) | ($false = ((sK0 @ (sK3 @ sK1)))) | ($false = $true) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(duplicate_literal_removal,[],[f9006])).
% 5.50/1.13 thf(f9043,plain,(
% 5.50/1.13 ($false = ((sK0 @ (sK3 @ sK1)))) | (((sK0 @ sK1)) = $true) | (spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f9042])).
% 5.50/1.13 thf(f9048,plain,(
% 5.50/1.13 ($false = $true) | ($true = ((sK0 @ (sK3 @ sK1)))) | (~spl2_1 | spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(forward_demodulation,[],[f9035,f35])).
% 5.50/1.13 thf(f9049,plain,(
% 5.50/1.13 ($true = ((sK0 @ (sK3 @ sK1)))) | (~spl2_1 | spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f9048])).
% 5.50/1.13 thf(f9055,plain,(
% 5.50/1.13 ($false = $true) | (~spl2_1 | spl2_2 | ~spl2_21 | ~spl2_63)),
% 5.50/1.13 inference(forward_demodulation,[],[f9049,f3776])).
% 5.50/1.13 thf(f9056,plain,(
% 5.50/1.13 $false | (~spl2_1 | spl2_2 | ~spl2_21 | ~spl2_63)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f9055])).
% 5.50/1.13 thf(f9057,plain,(
% 5.50/1.13 ~spl2_1 | spl2_2 | ~spl2_21 | ~spl2_63),
% 5.50/1.13 inference(avatar_contradiction_clause,[],[f9056])).
% 5.50/1.13 thf(f9112,plain,(
% 5.50/1.13 ($false = ((sK0 @ (sK3 @ sK1)))) | ($false = $true) | (~spl2_1 | spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(forward_demodulation,[],[f9043,f35])).
% 5.50/1.13 thf(f9113,plain,(
% 5.50/1.13 ($false = ((sK0 @ (sK3 @ sK1)))) | (~spl2_1 | spl2_2 | ~spl2_63)),
% 5.50/1.13 inference(trivial_inequality_removal,[],[f9112])).
% 5.50/1.13 thf(f9125,plain,(
% 5.50/1.13 spl2_21 | ~spl2_1 | spl2_2 | ~spl2_63),
% 5.50/1.13 inference(avatar_split_clause,[],[f9113,f8906,f37,f33,f3774])).
% 5.50/1.13 thf(f9225,plain,(
% 5.50/1.13 spl2_21 | spl2_63 | spl2_2),
% 5.50/1.13 inference(avatar_split_clause,[],[f8739,f37,f8906,f3774])).
% 5.50/1.13 cnf(s2, plain, spl2_1 | spl2_2, inference(sat_conversion,[],[f41])).
% 5.50/1.13 cnf(s6, plain, ~spl2_2 | spl2_6, inference(sat_conversion,[],[f235])).
% 5.50/1.13 cnf(s8, plain, spl2_1 | ~spl2_2 | ~spl2_6, inference(sat_conversion,[],[f302])).
% 5.50/1.13 cnf(s12, plain, ~spl2_1 | ~spl2_2, inference(sat_conversion,[],[f318])).
% 5.50/1.13 cnf(s126, plain, spl2_2 | ~spl2_21 | spl2_63, inference(sat_conversion,[],[f8910])).
% 5.50/1.13 cnf(s142, plain, ~spl2_1 | spl2_2 | ~spl2_21 | ~spl2_63, inference(sat_conversion,[],[f9057])).
% 5.50/1.13 cnf(s171, plain, ~spl2_1 | spl2_2 | spl2_21 | ~spl2_63, inference(sat_conversion,[],[f9125])).
% 5.50/1.13 cnf(s210, plain, spl2_2 | spl2_21 | spl2_63, inference(sat_conversion,[],[f9225])).
% 5.50/1.13 cnf(s224, plain, ~spl2_2 | spl2_1, inference(rat,[],[s6,s8])).
% 5.50/1.13 cnf(s225, plain, spl2_1, inference(rat,[],[s224,s2])).
% 5.50/1.13 cnf(s226, plain, ~spl2_2, inference(rat,[],[s12,s225])).
% 5.50/1.13 cnf(s227, plain, spl2_21, inference(rat,[],[s171,s210,s225,s226])).
% 5.50/1.13 cnf(s228, plain, ~spl2_63, inference(rat,[],[s142,s226,s225,s227])).
% 5.50/1.13 cnf(s229, plain, $false, inference(rat,[],[s126,s226,s227,s228])).
% 5.50/1.13 thf(f9247,plain,(
% 5.50/1.13 $false),
% 5.50/1.13 inference(avatar_sat_refutation,[],[s229])).
% 5.50/1.13 % SZS output end Proof for theBenchmark
% 5.50/1.13 % (734357)------------------------------
% 5.50/1.13 % (734357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (734357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (734357)CaDiCaL version: 2.1.3
% 5.50/1.13 % (734357)Termination reason: Refutation
% 5.50/1.13 % (734357)Time elapsed: 0.574 s
% 5.50/1.13 % (734357)Peak memory usage: 16 MB
% 5.50/1.13 % (734357)Instructions burned: 1257 (million)
% 5.50/1.13 % (734292)Success in time 0.849 s
% 5.50/1.13 % Vampire exiting
%------------------------------------------------------------------------------