%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN377^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:41:41 AM UTC 2026
% Result : Theorem 197.54s 28.27s
% Output : Refutation 197.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN377^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 16:21:21 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 0.09/0.27 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
% 0.88/0.42 % (1444426)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.88/0.42 % (1444431)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4253503249:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.88/0.42 % (1444435)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3725797574:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.88/0.42 % (1444432)lrs+10_16_si=on:nwc=1.5:random_seed=1153861170:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.88/0.42 % (1444434)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=1349384260: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)
% 0.88/0.42 % (1444437)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.88/0.42 % (1444437)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
% 0.88/0.42 % (1444433)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1162251747:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.88/0.42 % (1444432)Instruction limit reached!
% 0.88/0.42 % (1444432)------------------------------
% 0.88/0.42 % (1444432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1444432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1444432)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1444432)Termination reason: Instruction limit
% 0.88/0.42 % (1444432)Termination phase: Saturation
% 0.88/0.42 % (1444432)Time elapsed: 0.008 s
% 0.88/0.42 % (1444432)Peak memory usage: 11 MB
% 0.88/0.42 % (1444432)Instructions burned: 19 (million)
% 0.88/0.42 % (1444437)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=2479436096:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.88/0.42 % (1444433)Instruction limit reached!
% 0.88/0.42 % (1444433)------------------------------
% 0.88/0.42 % (1444433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1444433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1444433)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1444433)Termination reason: Instruction limit
% 0.88/0.42 % (1444433)Termination phase: shuffling
% 0.88/0.42 % (1444433)Time elapsed: 0.003 s
% 0.88/0.42 % (1444433)Peak memory usage: 9 MB
% 0.88/0.42 % (1444433)Instructions burned: 4 (million)
% 0.88/0.42 % (1444436)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3873758178:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.88/0.42 % (1444435)Instruction limit reached!
% 0.88/0.42 % (1444435)------------------------------
% 0.88/0.42 % (1444435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1444435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1444435)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1444435)Termination reason: Instruction limit
% 0.88/0.42 % (1444435)Termination phase: Saturation
% 0.88/0.42 % (1444435)Time elapsed: 0.014 s
% 0.88/0.42 % (1444435)Peak memory usage: 11 MB
% 0.88/0.42 % (1444435)Instructions burned: 25 (million)
% 0.88/0.42 % (1444444)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1696889583:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.42 % (1444447)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.42 % (1444444)Instruction limit reached!
% 0.88/0.42 % (1444444)------------------------------
% 0.88/0.42 % (1444444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1444444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1444444)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1444444)Termination reason: Instruction limit
% 0.88/0.42 % (1444444)Termination phase: shuffling
% 0.88/0.42 % (1444444)Time elapsed: 0.002 s
% 0.88/0.42 % (1444444)Peak memory usage: 9 MB
% 0.88/0.42 % (1444444)Instructions burned: 4 (million)
% 0.88/0.45 % (1444447)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3305184864:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.88/0.45 % (1444447)Instruction limit reached!
% 0.88/0.45 % (1444447)------------------------------
% 0.88/0.45 % (1444447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1444447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1444447)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1444447)Termination reason: Instruction limit
% 0.88/0.45 % (1444447)Termination phase: Property scanning
% 0.88/0.45 % (1444447)Time elapsed: 0.003 s
% 0.88/0.45 % (1444447)Peak memory usage: 10 MB
% 0.88/0.45 % (1444447)Instructions burned: 7 (million)
% 0.88/0.45 % (1444431)Instruction limit reached!
% 0.88/0.45 % (1444431)------------------------------
% 0.88/0.45 % (1444431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1444431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1444431)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1444431)Termination reason: Instruction limit
% 0.88/0.45 % (1444431)Termination phase: Saturation
% 0.88/0.45 % (1444431)Time elapsed: 0.039 s
% 0.88/0.45 % (1444431)Peak memory usage: 12 MB
% 0.88/0.45 % (1444431)Instructions burned: 89 (million)
% 0.88/0.45 % (1444446)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=68674903:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.88/0.45 % (1444436)Instruction limit reached!
% 0.88/0.45 % (1444436)------------------------------
% 0.88/0.45 % (1444436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1444436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1444436)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1444436)Termination reason: Instruction limit
% 0.88/0.45 % (1444436)Termination phase: Saturation
% 0.88/0.45 % (1444436)Time elapsed: 0.033 s
% 0.88/0.45 % (1444436)Peak memory usage: 13 MB
% 0.88/0.45 % (1444436)Instructions burned: 76 (million)
% 0.88/0.45 % (1444446)Instruction limit reached!
% 0.88/0.45 % (1444446)------------------------------
% 0.88/0.45 % (1444446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1444446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1444446)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1444446)Termination reason: Instruction limit
% 0.88/0.45 % (1444446)Termination phase: Property scanning
% 0.88/0.45 % (1444446)Time elapsed: 0.004 s
% 0.88/0.45 % (1444446)Peak memory usage: 10 MB
% 0.88/0.45 % (1444446)Instructions burned: 5 (million)
% 0.88/0.45 % (1444451)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
% 0.88/0.45 % (1444451)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.45 % (1444451)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=647620943:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.88/0.45 % (1444454)lrs+10_1_si=on:cs=on:random_seed=3402502089:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.88/0.45 % (1444452)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=2186667013:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.88/0.45 % (1444455)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.88/0.45 % (1444451)Instruction limit reached!
% 0.88/0.45 % (1444451)------------------------------
% 0.88/0.45 % (1444451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1444451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1444451)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1444451)Termination reason: Instruction limit
% 0.88/0.45 % (1444451)Termination phase: Saturation
% 0.88/0.45 % (1444451)Time elapsed: 0.012 s
% 0.88/0.45 % (1444451)Peak memory usage: 11 MB
% 0.88/0.45 % (1444451)Instructions burned: 29 (million)
% 0.88/0.45 % (1444454)Instruction limit reached!
% 0.88/0.48 % (1444454)------------------------------
% 0.88/0.48 % (1444454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1444454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1444454)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1444454)Termination reason: Instruction limit
% 0.88/0.48 % (1444454)Termination phase: Function definition elimination
% 0.88/0.48 % (1444454)Time elapsed: 0.004 s
% 0.88/0.48 % (1444454)Peak memory usage: 10 MB
% 0.88/0.48 % (1444454)Instructions burned: 9 (million)
% 0.88/0.48 % (1444455)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=1893767382:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.48 % (1444455)Instruction limit reached!
% 0.88/0.48 % (1444455)------------------------------
% 0.88/0.48 % (1444455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1444455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1444455)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1444455)Termination reason: Instruction limit
% 0.88/0.48 % (1444455)Termination phase: Property scanning
% 0.88/0.48 % (1444455)Time elapsed: 0.002 s
% 0.88/0.48 % (1444455)Peak memory usage: 10 MB
% 0.88/0.48 % (1444455)Instructions burned: 6 (million)
% 0.88/0.48 % (1444449)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=223213753:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.88/0.48 % (1444459)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1974961969:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.88/0.48 % (1444449)Instruction limit reached!
% 0.88/0.48 % (1444449)------------------------------
% 0.88/0.48 % (1444449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1444449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1444449)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1444449)Termination reason: Instruction limit
% 0.88/0.48 % (1444449)Termination phase: Property scanning
% 0.88/0.48 % (1444449)Time elapsed: 0.006 s
% 0.88/0.48 % (1444449)Peak memory usage: 10 MB
% 0.88/0.48 % (1444449)Instructions burned: 13 (million)
% 0.88/0.48 % (1444460)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=677881383:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.88/0.48 % (1444437)Instruction limit reached!
% 0.88/0.48 % (1444437)------------------------------
% 0.88/0.48 % (1444437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1444437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1444437)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1444437)Termination reason: Instruction limit
% 0.88/0.48 % (1444437)Termination phase: Saturation
% 0.88/0.48 % (1444437)Time elapsed: 0.087 s
% 0.88/0.48 % (1444437)Peak memory usage: 13 MB
% 0.88/0.48 % (1444437)Instructions burned: 159 (million)
% 0.88/0.48 % (1444462)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4267230967:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.88/0.48 % (1444460)Refutation not found, incomplete strategy
% 0.88/0.48 % (1444460)------------------------------
% 0.88/0.48 % (1444460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1444460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1444460)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1444460)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.48 % (1444460)Time elapsed: 0.013 s
% 0.88/0.48 % (1444460)Peak memory usage: 13 MB
% 0.88/0.48 % (1444460)Instructions burned: 24 (million)
% 0.88/0.48 % (1444459)Instruction limit reached!
% 0.88/0.48 % (1444459)------------------------------
% 0.88/0.48 % (1444459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1444459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1444459)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1444459)Termination reason: Instruction limit
% 0.88/0.48 % (1444459)Termination phase: Saturation
% 0.88/0.48 % (1444459)Time elapsed: 0.016 s
% 0.88/0.48 % (1444459)Peak memory usage: 12 MB
% 0.88/0.48 % (1444459)Instructions burned: 39 (million)
% 0.88/0.48 % (1444460)------------------------------
% 0.88/0.48 % (1444460)------------------------------
% 1.62/0.53 % (1444452)Instruction limit reached!
% 1.62/0.53 % (1444452)------------------------------
% 1.62/0.53 % (1444452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.53 % (1444452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.53 % (1444452)CaDiCaL version: 2.1.3
% 1.62/0.53 % (1444452)Termination reason: Instruction limit
% 1.62/0.53 % (1444452)Termination phase: Saturation
% 1.62/0.53 % (1444452)Time elapsed: 0.041 s
% 1.62/0.53 % (1444452)Peak memory usage: 13 MB
% 1.62/0.53 % (1444452)Instructions burned: 86 (million)
% 1.62/0.53 % (1444466)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=771499394:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.62/0.53 % (1444462)Instruction limit reached!
% 1.62/0.53 % (1444462)------------------------------
% 1.62/0.53 % (1444462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.53 % (1444462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.53 % (1444462)CaDiCaL version: 2.1.3
% 1.62/0.53 % (1444462)Termination reason: Instruction limit
% 1.62/0.53 % (1444462)Termination phase: Saturation
% 1.62/0.53 % (1444462)Time elapsed: 0.014 s
% 1.62/0.53 % (1444462)Peak memory usage: 12 MB
% 1.62/0.53 % (1444462)Instructions burned: 25 (million)
% 1.62/0.53 % (1444468)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2733180843:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.62/0.53 % (1444466)Instruction limit reached!
% 1.62/0.53 % (1444466)------------------------------
% 1.62/0.53 % (1444466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.53 % (1444466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.53 % (1444466)CaDiCaL version: 2.1.3
% 1.62/0.53 % (1444466)Termination reason: Instruction limit
% 1.62/0.53 % (1444466)Termination phase: Saturation
% 1.62/0.53 % (1444466)Time elapsed: 0.006 s
% 1.62/0.53 % (1444466)Peak memory usage: 10 MB
% 1.62/0.53 % (1444466)Instructions burned: 15 (million)
% 1.62/0.53 % (1444469)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2013044064:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.62/0.53 % (1444471)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2323699864:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.62/0.53 % (1444469)Instruction limit reached!
% 1.62/0.53 % (1444469)------------------------------
% 1.62/0.53 % (1444469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.53 % (1444469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.53 % (1444469)CaDiCaL version: 2.1.3
% 1.62/0.53 % (1444469)Termination reason: Instruction limit
% 1.62/0.53 % (1444469)Termination phase: Saturation
% 1.62/0.53 % (1444469)Time elapsed: 0.006 s
% 1.62/0.53 % (1444469)Peak memory usage: 11 MB
% 1.62/0.53 % (1444469)Instructions burned: 15 (million)
% 1.62/0.53 % (1444473)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3778856819:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.62/0.53 % (1444470)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3081106924:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.62/0.53 % (1444475)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1340811428:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.62/0.53 % (1444471)Instruction limit reached!
% 1.62/0.53 % (1444471)------------------------------
% 1.62/0.53 % (1444471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.53 % (1444471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.53 % (1444471)CaDiCaL version: 2.1.3
% 1.62/0.53 % (1444471)Termination reason: Instruction limit
% 1.62/0.53 % (1444471)Termination phase: Saturation
% 1.62/0.53 % (1444471)Time elapsed: 0.012 s
% 1.62/0.53 % (1444471)Peak memory usage: 11 MB
% 1.62/0.53 % (1444471)Instructions burned: 27 (million)
% 1.62/0.53 % (1444470)Instruction limit reached!
% 1.62/0.53 % (1444470)------------------------------
% 1.62/0.53 % (1444470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.53 % (1444470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.62 % (1444470)CaDiCaL version: 2.1.3
% 2.22/0.62 % (1444470)Termination reason: Instruction limit
% 2.22/0.62 % (1444470)Termination phase: shuffling
% 2.22/0.62 % (1444470)Time elapsed: 0.002 s
% 2.22/0.62 % (1444470)Peak memory usage: 10 MB
% 2.22/0.62 % (1444470)Instructions burned: 2 (million)
% 2.22/0.62 % (1444473)Instruction limit reached!
% 2.22/0.62 % (1444473)------------------------------
% 2.22/0.62 % (1444473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.62 % (1444473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.62 % (1444473)CaDiCaL version: 2.1.3
% 2.22/0.62 % (1444473)Termination reason: Instruction limit
% 2.22/0.62 % (1444473)Termination phase: Saturation
% 2.22/0.62 % (1444473)Time elapsed: 0.011 s
% 2.22/0.62 % (1444473)Peak memory usage: 11 MB
% 2.22/0.62 % (1444473)Instructions burned: 25 (million)
% 2.22/0.62 % (1444478)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
% 2.22/0.62 % (1444478)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.22/0.62 % (1444478)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=828199682:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.22/0.62 % (1444478)Instruction limit reached!
% 2.22/0.62 % (1444478)------------------------------
% 2.22/0.62 % (1444478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.62 % (1444478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.62 % (1444478)CaDiCaL version: 2.1.3
% 2.22/0.62 % (1444478)Termination reason: Instruction limit
% 2.22/0.62 % (1444478)Termination phase: Saturation
% 2.22/0.62 % (1444478)Time elapsed: 0.007 s
% 2.22/0.62 % (1444478)Peak memory usage: 11 MB
% 2.22/0.62 % (1444478)Instructions burned: 15 (million)
% 2.22/0.62 % (1444483)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=3290662453:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.22/0.62 % (1444482)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.22/0.62 % (1444484)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2649941909:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.22/0.62 % (1444484)Instruction limit reached!
% 2.22/0.62 % (1444484)------------------------------
% 2.22/0.62 % (1444484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.62 % (1444484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.62 % (1444484)CaDiCaL version: 2.1.3
% 2.22/0.62 % (1444484)Termination reason: Instruction limit
% 2.22/0.62 % (1444484)Termination phase: Property scanning
% 2.22/0.62 % (1444484)Time elapsed: 0.003 s
% 2.22/0.62 % (1444484)Peak memory usage: 10 MB
% 2.22/0.62 % (1444484)Instructions burned: 7 (million)
% 2.22/0.62 % (1444475)Instruction limit reached!
% 2.22/0.62 % (1444475)------------------------------
% 2.22/0.62 % (1444475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.62 % (1444475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.62 % (1444475)CaDiCaL version: 2.1.3
% 2.22/0.62 % (1444475)Termination reason: Instruction limit
% 2.22/0.62 % (1444475)Termination phase: Saturation
% 2.22/0.62 % (1444475)Time elapsed: 0.030 s
% 2.22/0.62 % (1444475)Peak memory usage: 13 MB
% 2.22/0.62 % (1444475)Instructions burned: 60 (million)
% 2.22/0.62 % (1444482)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=1743465842:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.22/0.62 % (1444482)Instruction limit reached!
% 2.22/0.62 % (1444482)------------------------------
% 2.22/0.62 % (1444482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.62 % (1444482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.62 % (1444482)CaDiCaL version: 2.1.3
% 2.22/0.62 % (1444482)Termination reason: Instruction limit
% 2.48/0.68 % (1444482)Termination phase: Property scanning
% 2.48/0.68 % (1444482)Time elapsed: 0.004 s
% 2.48/0.68 % (1444482)Peak memory usage: 11 MB
% 2.48/0.68 % (1444482)Instructions burned: 8 (million)
% 2.48/0.68 % (1444486)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=232371351:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.48/0.68 % (1444483)Instruction limit reached!
% 2.48/0.68 % (1444483)------------------------------
% 2.48/0.68 % (1444483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.68 % (1444483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.68 % (1444483)CaDiCaL version: 2.1.3
% 2.48/0.68 % (1444483)Termination reason: Instruction limit
% 2.48/0.68 % (1444483)Termination phase: Saturation
% 2.48/0.68 % (1444483)Time elapsed: 0.023 s
% 2.48/0.68 % (1444483)Peak memory usage: 12 MB
% 2.48/0.68 % (1444483)Instructions burned: 31 (million)
% 2.48/0.68 % (1444489)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3918196106:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.48/0.68 % (1444486)Instruction limit reached!
% 2.48/0.68 % (1444486)------------------------------
% 2.48/0.68 % (1444486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.68 % (1444486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.68 % (1444486)CaDiCaL version: 2.1.3
% 2.48/0.68 % (1444486)Termination reason: Instruction limit
% 2.48/0.68 % (1444486)Termination phase: Saturation
% 2.48/0.68 % (1444486)Time elapsed: 0.010 s
% 2.48/0.68 % (1444486)Peak memory usage: 11 MB
% 2.48/0.68 % (1444486)Instructions burned: 23 (million)
% 2.48/0.68 % (1444490)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1263361736:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.48/0.68 % (1444492)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=156093084:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.48/0.68 % (1444489)Instruction limit reached!
% 2.48/0.68 % (1444489)------------------------------
% 2.48/0.68 % (1444489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.68 % (1444489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.68 % (1444489)CaDiCaL version: 2.1.3
% 2.48/0.68 % (1444489)Termination reason: Instruction limit
% 2.48/0.68 % (1444489)Termination phase: Saturation
% 2.48/0.68 % (1444489)Time elapsed: 0.011 s
% 2.48/0.68 % (1444489)Peak memory usage: 12 MB
% 2.48/0.68 % (1444489)Instructions burned: 21 (million)
% 2.48/0.68 % (1444496)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1717548729:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.48/0.68 % (1444499)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.48/0.68 % (1444494)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3269865063:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.48/0.68 % (1444499)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=563478598:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.48/0.68 % (1444499)Instruction limit reached!
% 2.48/0.68 % (1444499)------------------------------
% 2.48/0.68 % (1444499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.68 % (1444499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.68 % (1444499)CaDiCaL version: 2.1.3
% 2.48/0.68 % (1444499)Termination reason: Instruction limit
% 2.48/0.68 % (1444499)Termination phase: Property scanning
% 2.48/0.68 % (1444499)Time elapsed: 0.003 s
% 2.48/0.68 % (1444499)Peak memory usage: 10 MB
% 2.48/0.68 % (1444499)Instructions burned: 7 (million)
% 2.48/0.68 % (1444496)Instruction limit reached!
% 2.48/0.68 % (1444496)------------------------------
% 2.48/0.68 % (1444496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.68 % (1444496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.68 % (1444496)CaDiCaL version: 2.1.3
% 2.48/0.68 % (1444496)Termination reason: Instruction limit
% 2.48/0.68 % (1444496)Termination phase: Saturation
% 2.48/0.68 % (1444496)Time elapsed: 0.018 s
% 2.48/0.68 % (1444496)Peak memory usage: 12 MB
% 2.70/0.76 % (1444496)Instructions burned: 43 (million)
% 2.70/0.76 % (1444494)Refutation not found, incomplete strategy
% 2.70/0.76 % (1444494)------------------------------
% 2.70/0.76 % (1444494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.76 % (1444494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.76 % (1444494)CaDiCaL version: 2.1.3
% 2.70/0.76 % (1444494)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.76 % (1444494)Time elapsed: 0.014 s
% 2.70/0.76 % (1444494)Peak memory usage: 13 MB
% 2.70/0.76 % (1444494)Instructions burned: 30 (million)
% 2.70/0.76 % (1444494)------------------------------
% 2.70/0.76 % (1444494)------------------------------
% 2.70/0.76 % (1444503)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2117751726:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.70/0.76 % (1444504)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=1815049399:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.70/0.76 % (1444505)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.70/0.76 % (1444505)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3642100453:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.70/0.76 % (1444505)Instruction limit reached!
% 2.70/0.76 % (1444505)------------------------------
% 2.70/0.76 % (1444505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.76 % (1444505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.76 % (1444505)CaDiCaL version: 2.1.3
% 2.70/0.76 % (1444505)Termination reason: Instruction limit
% 2.70/0.76 % (1444505)Termination phase: SInE selection
% 2.70/0.76 % (1444505)Time elapsed: 0.003 s
% 2.70/0.76 % (1444505)Peak memory usage: 10 MB
% 2.70/0.76 % (1444505)Instructions burned: 7 (million)
% 2.70/0.76 % (1444492)Instruction limit reached!
% 2.70/0.76 % (1444492)------------------------------
% 2.70/0.76 % (1444492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.76 % (1444492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.76 % (1444492)CaDiCaL version: 2.1.3
% 2.70/0.76 % (1444492)Termination reason: Instruction limit
% 2.70/0.76 % (1444492)Termination phase: Saturation
% 2.70/0.76 % (1444492)Time elapsed: 0.076 s
% 2.70/0.76 % (1444492)Peak memory usage: 13 MB
% 2.70/0.76 % (1444492)Instructions burned: 143 (million)
% 2.70/0.76 % (1444509)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2261721202:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.70/0.76 % (1444510)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1994620850:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.70/0.76 % (1444468)Instruction limit reached!
% 2.70/0.76 % (1444468)------------------------------
% 2.70/0.76 % (1444468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.76 % (1444468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.76 % (1444468)CaDiCaL version: 2.1.3
% 2.70/0.76 % (1444468)Termination reason: Instruction limit
% 2.70/0.76 % (1444468)Termination phase: Saturation
% 2.70/0.76 % (1444468)Time elapsed: 0.184 s
% 2.70/0.76 % (1444468)Peak memory usage: 18 MB
% 2.70/0.76 % (1444468)Instructions burned: 328 (million)
% 2.70/0.76 % (1444509)Instruction limit reached!
% 2.70/0.76 % (1444509)------------------------------
% 2.70/0.76 % (1444509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.76 % (1444509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.76 % (1444509)CaDiCaL version: 2.1.3
% 2.70/0.76 % (1444509)Termination reason: Instruction limit
% 2.70/0.76 % (1444509)Termination phase: Saturation
% 2.70/0.76 % (1444509)Time elapsed: 0.010 s
% 2.70/0.76 % (1444509)Peak memory usage: 11 MB
% 2.70/0.76 % (1444509)Instructions burned: 22 (million)
% 2.70/0.76 % (1444510)Instruction limit reached!
% 2.70/0.76 % (1444510)------------------------------
% 2.70/0.76 % (1444510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.76 % (1444510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.85 % (1444510)CaDiCaL version: 2.1.3
% 3.13/0.85 % (1444510)Termination reason: Instruction limit
% 3.13/0.85 % (1444510)Termination phase: Saturation
% 3.13/0.85 % (1444510)Time elapsed: 0.009 s
% 3.13/0.85 % (1444510)Peak memory usage: 12 MB
% 3.13/0.85 % (1444510)Instructions burned: 21 (million)
% 3.13/0.85 % (1444503)Instruction limit reached!
% 3.13/0.85 % (1444503)------------------------------
% 3.13/0.85 % (1444503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.85 % (1444503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.85 % (1444503)CaDiCaL version: 2.1.3
% 3.13/0.85 % (1444503)Termination reason: Instruction limit
% 3.13/0.85 % (1444503)Termination phase: Saturation
% 3.13/0.85 % (1444503)Time elapsed: 0.080 s
% 3.13/0.85 % (1444503)Peak memory usage: 14 MB
% 3.13/0.85 % (1444503)Instructions burned: 183 (million)
% 3.13/0.85 % (1444513)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=754401706:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.13/0.86 % (1444515)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=2344511501:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.13/0.86 % (1444514)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=1852029677:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.13/0.86 % (1444504)Instruction limit reached!
% 3.13/0.86 % (1444504)------------------------------
% 3.13/0.86 % (1444504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (1444504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (1444504)CaDiCaL version: 2.1.3
% 3.13/0.86 % (1444504)Termination reason: Instruction limit
% 3.13/0.86 % (1444504)Termination phase: Saturation
% 3.13/0.86 % (1444504)Time elapsed: 0.092 s
% 3.13/0.86 % (1444504)Peak memory usage: 14 MB
% 3.13/0.86 % (1444504)Instructions burned: 169 (million)
% 3.13/0.86 % (1444516)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=843862284:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.13/0.86 % (1444516)Refutation not found, incomplete strategy
% 3.13/0.86 % (1444516)------------------------------
% 3.13/0.86 % (1444516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (1444515)Instruction limit reached!
% 3.13/0.86 % (1444515)------------------------------
% 3.13/0.86 % (1444515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.86 % (1444515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (1444516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.86 % (1444515)CaDiCaL version: 2.1.3
% 3.13/0.86 % (1444516)CaDiCaL version: 2.1.3
% 3.13/0.86 % (1444515)Termination reason: Instruction limit
% 3.13/0.86 % (1444515)Termination phase: Saturation
% 3.13/0.86 % (1444515)Time elapsed: 0.019 s
% 3.13/0.86 % (1444516)Termination reason: Refutation not found, incomplete strategy
% 3.13/0.86 % (1444516)Time elapsed: 0.007 s
% 3.13/0.86 % (1444515)Peak memory usage: 12 MB
% 3.13/0.86 % (1444516)Peak memory usage: 12 MB
% 3.13/0.86 % (1444515)Instructions burned: 45 (million)
% 3.13/0.86 % (1444516)Instructions burned: 13 (million)
% 3.13/0.86 % (1444516)------------------------------
% 3.13/0.86 % (1444516)------------------------------
% 3.13/0.86 % (1444520)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4127807074:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.13/0.86 % (1444522)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.13/0.86 % (1444522)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=629604203:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.13/0.86 % (1444434)Instruction limit reached!
% 3.13/0.86 % (1444434)------------------------------
% 3.13/0.86 % (1444434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.94 % (1444434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.94 % (1444434)CaDiCaL version: 2.1.3
% 3.76/0.94 % (1444434)Termination reason: Instruction limit
% 3.76/0.94 % (1444434)Termination phase: Saturation
% 3.76/0.94 % (1444434)Time elapsed: 0.360 s
% 3.76/0.94 % (1444434)Peak memory usage: 15 MB
% 3.76/0.94 % (1444434)Instructions burned: 634 (million)
% 3.76/0.94 % (1444520)Instruction limit reached!
% 3.76/0.94 % (1444520)------------------------------
% 3.76/0.94 % (1444520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.94 % (1444520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.94 % (1444520)CaDiCaL version: 2.1.3
% 3.76/0.94 % (1444520)Termination reason: Instruction limit
% 3.76/0.94 % (1444520)Termination phase: Saturation
% 3.76/0.94 % (1444520)Time elapsed: 0.009 s
% 3.76/0.94 % (1444520)Peak memory usage: 12 MB
% 3.76/0.94 % (1444520)Instructions burned: 21 (million)
% 3.76/0.94 % (1444523)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3084902959:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.76/0.94 % (1444523)Instruction limit reached!
% 3.76/0.94 % (1444523)------------------------------
% 3.76/0.94 % (1444523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.94 % (1444523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.94 % (1444523)CaDiCaL version: 2.1.3
% 3.76/0.94 % (1444523)Termination reason: Instruction limit
% 3.76/0.94 % (1444523)Termination phase: Saturation
% 3.76/0.94 % (1444523)Time elapsed: 0.007 s
% 3.76/0.94 % (1444523)Peak memory usage: 12 MB
% 3.76/0.94 % (1444523)Instructions burned: 13 (million)
% 3.76/0.94 % (1444529)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3251167582:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.76/0.94 % (1444527)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=565558014:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.76/0.94 % (1444528)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2579440868:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.76/0.94 % (1444529)Instruction limit reached!
% 3.76/0.94 % (1444529)------------------------------
% 3.76/0.94 % (1444529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.94 % (1444529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.94 % (1444529)CaDiCaL version: 2.1.3
% 3.76/0.94 % (1444529)Termination reason: Instruction limit
% 3.76/0.94 % (1444529)Termination phase: Saturation
% 3.76/0.94 % (1444529)Time elapsed: 0.014 s
% 3.76/0.94 % (1444529)Peak memory usage: 11 MB
% 3.76/0.94 % (1444529)Instructions burned: 33 (million)
% 3.76/0.94 % (1444528)Instruction limit reached!
% 3.76/0.94 % (1444528)------------------------------
% 3.76/0.94 % (1444528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.94 % (1444528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.94 % (1444528)CaDiCaL version: 2.1.3
% 3.76/0.94 % (1444528)Termination reason: Instruction limit
% 3.76/0.94 % (1444528)Termination phase: Saturation
% 3.76/0.94 % (1444528)Time elapsed: 0.024 s
% 3.76/0.94 % (1444528)Peak memory usage: 12 MB
% 3.76/0.94 % (1444528)Instructions burned: 52 (million)
% 3.76/0.94 % (1444533)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2523831667:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.76/0.94 % (1444527)Instruction limit reached!
% 3.76/0.94 % (1444527)------------------------------
% 3.76/0.94 % (1444527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.94 % (1444527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.94 % (1444527)CaDiCaL version: 2.1.3
% 3.76/0.94 % (1444527)Termination reason: Instruction limit
% 3.76/0.94 % (1444527)Termination phase: Saturation
% 3.76/0.94 % (1444527)Time elapsed: 0.028 s
% 3.76/0.94 % (1444527)Peak memory usage: 13 MB
% 3.76/0.94 % (1444527)Instructions burned: 66 (million)
% 3.76/0.94 % (1444536)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2594821888:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.76/0.94 % (1444534)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=1894297308:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 5.40/1.15 % (1444522)Instruction limit reached!
% 5.40/1.15 % (1444522)------------------------------
% 5.40/1.15 % (1444522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.15 % (1444522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.15 % (1444522)CaDiCaL version: 2.1.3
% 5.40/1.15 % (1444522)Termination reason: Instruction limit
% 5.40/1.15 % (1444522)Termination phase: Saturation
% 5.40/1.15 % (1444522)Time elapsed: 0.087 s
% 5.40/1.15 % (1444522)Peak memory usage: 14 MB
% 5.40/1.15 % (1444522)Instructions burned: 201 (million)
% 5.40/1.15 % (1444534)Instruction limit reached!
% 5.40/1.15 % (1444534)------------------------------
% 5.40/1.15 % (1444534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.15 % (1444534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.15 % (1444534)CaDiCaL version: 2.1.3
% 5.40/1.15 % (1444534)Termination reason: Instruction limit
% 5.40/1.15 % (1444534)Termination phase: Saturation
% 5.40/1.15 % (1444534)Time elapsed: 0.016 s
% 5.40/1.15 % (1444534)Peak memory usage: 12 MB
% 5.40/1.15 % (1444534)Instructions burned: 34 (million)
% 5.40/1.15 % (1444539)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.40/1.15 % (1444539)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2339368633:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.40/1.15 % (1444536)Instruction limit reached!
% 5.40/1.15 % (1444536)------------------------------
% 5.40/1.15 % (1444536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.15 % (1444536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.15 % (1444536)CaDiCaL version: 2.1.3
% 5.40/1.15 % (1444536)Termination reason: Instruction limit
% 5.40/1.15 % (1444536)Termination phase: Saturation
% 5.40/1.15 % (1444536)Time elapsed: 0.029 s
% 5.40/1.15 % (1444536)Peak memory usage: 12 MB
% 5.40/1.15 % (1444536)Instructions burned: 67 (million)
% 5.40/1.15 % (1444540)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3987600043:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.40/1.15 % (1444533)Instruction limit reached!
% 5.40/1.15 % (1444533)------------------------------
% 5.40/1.15 % (1444533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.15 % (1444533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.15 % (1444533)CaDiCaL version: 2.1.3
% 5.40/1.15 % (1444533)Termination reason: Instruction limit
% 5.40/1.15 % (1444533)Termination phase: Saturation
% 5.40/1.15 % (1444533)Time elapsed: 0.075 s
% 5.40/1.15 % (1444533)Peak memory usage: 13 MB
% 5.40/1.15 % (1444533)Instructions burned: 138 (million)
% 5.40/1.15 % (1444513)Instruction limit reached!
% 5.40/1.15 % (1444513)------------------------------
% 5.40/1.15 % (1444513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.15 % (1444513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.15 % (1444513)CaDiCaL version: 2.1.3
% 5.40/1.15 % (1444513)Termination reason: Instruction limit
% 5.40/1.15 % (1444513)Termination phase: Saturation
% 5.40/1.15 % (1444513)Time elapsed: 0.183 s
% 5.40/1.15 % (1444513)Peak memory usage: 15 MB
% 5.40/1.15 % (1444513)Instructions burned: 316 (million)
% 5.40/1.15 % (1444542)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2621701117:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.40/1.15 % (1444545)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2231957637:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.40/1.15 % (1444544)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1075345122:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.40/1.15 % (1444544)Refutation not found, incomplete strategy
% 5.40/1.15 % (1444544)------------------------------
% 5.40/1.15 % (1444544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.15 % (1444544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.15 % (1444544)CaDiCaL version: 2.1.3
% 5.40/1.15 % (1444544)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.25 % (1444544)Time elapsed: 0.015 s
% 6.05/1.25 % (1444544)Peak memory usage: 13 MB
% 6.05/1.25 % (1444544)Instructions burned: 24 (million)
% 6.05/1.25 % (1444544)------------------------------
% 6.05/1.25 % (1444544)------------------------------
% 6.05/1.25 % (1444539)Instruction limit reached!
% 6.05/1.25 % (1444539)------------------------------
% 6.05/1.25 % (1444539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.25 % (1444539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.25 % (1444539)CaDiCaL version: 2.1.3
% 6.05/1.25 % (1444539)Termination reason: Instruction limit
% 6.05/1.25 % (1444539)Termination phase: Saturation
% 6.05/1.25 % (1444539)Time elapsed: 0.080 s
% 6.05/1.25 % (1444539)Peak memory usage: 13 MB
% 6.05/1.25 % (1444539)Instructions burned: 180 (million)
% 6.05/1.25 % (1444542)Instruction limit reached!
% 6.05/1.25 % (1444542)------------------------------
% 6.05/1.25 % (1444542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.25 % (1444542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.25 % (1444542)CaDiCaL version: 2.1.3
% 6.05/1.25 % (1444542)Termination reason: Instruction limit
% 6.05/1.25 % (1444542)Termination phase: Saturation
% 6.05/1.25 % (1444542)Time elapsed: 0.050 s
% 6.05/1.25 % (1444542)Peak memory usage: 12 MB
% 6.05/1.25 % (1444542)Instructions burned: 96 (million)
% 6.05/1.25 % (1444550)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4108175264:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 6.05/1.25 % (1444549)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=730195525:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 6.05/1.25 % (1444551)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=293036971:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 6.05/1.25 % (1444551)Instruction limit reached!
% 6.05/1.25 % (1444551)------------------------------
% 6.05/1.25 % (1444551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.25 % (1444551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.25 % (1444551)CaDiCaL version: 2.1.3
% 6.05/1.25 % (1444551)Termination reason: Instruction limit
% 6.05/1.25 % (1444551)Termination phase: Saturation
% 6.05/1.25 % (1444551)Time elapsed: 0.021 s
% 6.05/1.25 % (1444551)Peak memory usage: 12 MB
% 6.05/1.25 % (1444551)Instructions burned: 45 (million)
% 6.05/1.25 % (1444555)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1648275483:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 6.05/1.25 % (1444540)Instruction limit reached!
% 6.05/1.25 % (1444540)------------------------------
% 6.05/1.25 % (1444540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.25 % (1444540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.25 % (1444540)CaDiCaL version: 2.1.3
% 6.05/1.25 % (1444540)Termination reason: Instruction limit
% 6.05/1.25 % (1444540)Termination phase: Saturation
% 6.05/1.25 % (1444540)Time elapsed: 0.139 s
% 6.05/1.25 % (1444540)Peak memory usage: 15 MB
% 6.05/1.25 % (1444540)Instructions burned: 247 (million)
% 6.05/1.25 % (1444555)Refutation not found, incomplete strategy
% 6.05/1.25 % (1444555)------------------------------
% 6.05/1.25 % (1444555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.25 % (1444555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.25 % (1444555)CaDiCaL version: 2.1.3
% 6.05/1.25 % (1444555)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.25 % (1444555)Time elapsed: 0.008 s
% 6.05/1.25 % (1444555)Peak memory usage: 12 MB
% 6.05/1.25 % (1444555)Instructions burned: 14 (million)
% 6.05/1.25 % (1444550)Instruction limit reached!
% 6.05/1.25 % (1444550)------------------------------
% 6.05/1.25 % (1444550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.25 % (1444550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.25 % (1444550)CaDiCaL version: 2.1.3
% 6.05/1.25 % (1444550)Termination reason: Instruction limit
% 6.05/1.25 % (1444550)Termination phase: Saturation
% 6.05/1.25 % (1444550)Time elapsed: 0.062 s
% 6.05/1.25 % (1444550)Peak memory usage: 13 MB
% 6.05/1.25 % (1444550)Instructions burned: 131 (million)
% 6.05/1.25 % (1444555)------------------------------
% 6.05/1.25 % (1444555)------------------------------
% 6.59/1.32 % (1444557)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3642726042:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 6.59/1.32 % (1444559)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=1784550170:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 6.59/1.32 % (1444558)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2641683983:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 6.59/1.32 % (1444559)Instruction limit reached!
% 6.59/1.32 % (1444559)------------------------------
% 6.59/1.32 % (1444559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.32 % (1444559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.32 % (1444559)CaDiCaL version: 2.1.3
% 6.59/1.32 % (1444559)Termination reason: Instruction limit
% 6.59/1.32 % (1444559)Termination phase: Saturation
% 6.59/1.32 % (1444559)Time elapsed: 0.029 s
% 6.59/1.32 % (1444559)Peak memory usage: 13 MB
% 6.59/1.32 % (1444559)Instructions burned: 66 (million)
% 6.59/1.32 % (1444563)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1279480253:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2992 on theBenchmark for (2992ds/105Mi)
% 6.59/1.32 % (1444558)Instruction limit reached!
% 6.59/1.32 % (1444558)------------------------------
% 6.59/1.32 % (1444558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.32 % (1444558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.32 % (1444558)CaDiCaL version: 2.1.3
% 6.59/1.32 % (1444558)Termination reason: Instruction limit
% 6.59/1.32 % (1444558)Termination phase: Saturation
% 6.59/1.32 % (1444558)Time elapsed: 0.077 s
% 6.59/1.32 % (1444558)Peak memory usage: 13 MB
% 6.59/1.32 % (1444558)Instructions burned: 95 (million)
% 6.59/1.32 % (1444565)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2994593855:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 6.59/1.32 % (1444563)Instruction limit reached!
% 6.59/1.32 % (1444563)------------------------------
% 6.59/1.32 % (1444563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.32 % (1444563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.32 % (1444563)CaDiCaL version: 2.1.3
% 6.59/1.32 % (1444563)Termination reason: Instruction limit
% 6.59/1.32 % (1444563)Termination phase: Saturation
% 6.59/1.32 % (1444563)Time elapsed: 0.060 s
% 6.59/1.32 % (1444563)Peak memory usage: 13 MB
% 6.59/1.32 % (1444563)Instructions burned: 106 (million)
% 6.59/1.32 % (1444490)Instruction limit reached!
% 6.59/1.32 % (1444490)------------------------------
% 6.59/1.32 % (1444490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.32 % (1444490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.32 % (1444490)CaDiCaL version: 2.1.3
% 6.59/1.32 % (1444490)Termination reason: Instruction limit
% 6.59/1.32 % (1444490)Termination phase: Saturation
% 6.59/1.32 % (1444490)Time elapsed: 0.603 s
% 6.59/1.32 % (1444490)Peak memory usage: 15 MB
% 6.59/1.32 % (1444490)Instructions burned: 1242 (million)
% 6.59/1.32 % (1444569)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2031385016:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.59/1.32 % (1444573)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1495450649:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.59/1.32 % (1444557)Instruction limit reached!
% 6.59/1.32 % (1444557)------------------------------
% 6.59/1.32 % (1444557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.32 % (1444557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.32 % (1444557)CaDiCaL version: 2.1.3
% 6.59/1.32 % (1444557)Termination reason: Instruction limit
% 6.59/1.32 % (1444557)Termination phase: Saturation
% 6.59/1.32 % (1444557)Time elapsed: 0.183 s
% 6.93/1.44 % (1444557)Peak memory usage: 19 MB
% 6.93/1.44 % (1444557)Instructions burned: 455 (million)
% 6.93/1.44 % (1444576)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=3983822757:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.93/1.44 % (1444549)Instruction limit reached!
% 6.93/1.44 % (1444549)------------------------------
% 6.93/1.44 % (1444549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.44 % (1444549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.44 % (1444549)CaDiCaL version: 2.1.3
% 6.93/1.44 % (1444549)Termination reason: Instruction limit
% 6.93/1.44 % (1444549)Termination phase: Saturation
% 6.93/1.44 % (1444549)Time elapsed: 0.273 s
% 6.93/1.44 % (1444549)Peak memory usage: 20 MB
% 6.93/1.44 % (1444549)Instructions burned: 516 (million)
% 6.93/1.44 % (1444576)Instruction limit reached!
% 6.93/1.44 % (1444576)------------------------------
% 6.93/1.44 % (1444576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.44 % (1444576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.44 % (1444576)CaDiCaL version: 2.1.3
% 6.93/1.44 % (1444576)Termination reason: Instruction limit
% 6.93/1.44 % (1444576)Termination phase: Saturation
% 6.93/1.44 % (1444576)Time elapsed: 0.014 s
% 6.93/1.44 % (1444576)Peak memory usage: 12 MB
% 6.93/1.44 % (1444576)Instructions burned: 35 (million)
% 6.93/1.44 % (1444579)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=63205370:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2991 on theBenchmark for (2991ds/66Mi)
% 6.93/1.44 % (1444578)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=374518251:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.93/1.44 % (1444579)Refutation not found, incomplete strategy
% 6.93/1.44 % (1444579)------------------------------
% 6.93/1.44 % (1444579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.44 % (1444579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.44 % (1444579)CaDiCaL version: 2.1.3
% 6.93/1.44 % (1444579)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.44 % (1444579)Time elapsed: 0.008 s
% 6.93/1.44 % (1444579)Peak memory usage: 12 MB
% 6.93/1.44 % (1444579)Instructions burned: 36 (million)
% 6.93/1.44 % (1444579)------------------------------
% 6.93/1.44 % (1444579)------------------------------
% 6.93/1.44 % (1444582)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3711958631:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 6.93/1.44 % (1444582)Instruction limit reached!
% 6.93/1.44 % (1444582)------------------------------
% 6.93/1.44 % (1444582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.44 % (1444582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.44 % (1444582)CaDiCaL version: 2.1.3
% 6.93/1.44 % (1444582)Termination reason: Instruction limit
% 6.93/1.44 % (1444582)Termination phase: Saturation
% 6.93/1.44 % (1444582)Time elapsed: 0.009 s
% 6.93/1.44 % (1444582)Peak memory usage: 12 MB
% 6.93/1.44 % (1444582)Instructions burned: 22 (million)
% 6.93/1.44 % (1444545)Instruction limit reached!
% 6.93/1.44 % (1444545)------------------------------
% 6.93/1.44 % (1444545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.44 % (1444545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.44 % (1444545)CaDiCaL version: 2.1.3
% 6.93/1.44 % (1444545)Termination reason: Instruction limit
% 6.93/1.44 % (1444545)Termination phase: Saturation
% 6.93/1.44 % (1444545)Time elapsed: 0.406 s
% 6.93/1.44 % (1444545)Peak memory usage: 20 MB
% 6.93/1.44 % (1444545)Instructions burned: 875 (million)
% 6.93/1.44 % (1444584)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=4258318418:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 6.93/1.44 % (1444578)Instruction limit reached!
% 6.93/1.44 % (1444578)------------------------------
% 6.93/1.44 % (1444578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.44 % (1444578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.44 % (1444578)CaDiCaL version: 2.1.3
% 7.62/1.56 % (1444578)Termination reason: Instruction limit
% 7.62/1.56 % (1444578)Termination phase: Saturation
% 7.62/1.56 % (1444578)Time elapsed: 0.063 s
% 7.62/1.56 % (1444578)Peak memory usage: 13 MB
% 7.62/1.56 % (1444578)Instructions burned: 92 (million)
% 7.62/1.56 % (1444587)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.62/1.56 % (1444587)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=829178243:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/137Mi)
% 7.62/1.56 % (1444586)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3346560818:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/28Mi)
% 7.62/1.56 % (1444586)Instruction limit reached!
% 7.62/1.56 % (1444586)------------------------------
% 7.62/1.56 % (1444586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.56 % (1444586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.56 % (1444586)CaDiCaL version: 2.1.3
% 7.62/1.56 % (1444586)Termination reason: Instruction limit
% 7.62/1.56 % (1444586)Termination phase: Saturation
% 7.62/1.56 % (1444586)Time elapsed: 0.013 s
% 7.62/1.56 % (1444586)Peak memory usage: 12 MB
% 7.62/1.56 % (1444586)Instructions burned: 29 (million)
% 7.62/1.56 % (1444514)Instruction limit reached!
% 7.62/1.56 % (1444514)------------------------------
% 7.62/1.56 % (1444514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.56 % (1444514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.56 % (1444514)CaDiCaL version: 2.1.3
% 7.62/1.56 % (1444514)Termination reason: Instruction limit
% 7.62/1.56 % (1444514)Termination phase: Saturation
% 7.62/1.56 % (1444514)Time elapsed: 0.641 s
% 7.62/1.56 % (1444514)Peak memory usage: 15 MB
% 7.62/1.56 % (1444514)Instructions burned: 853 (million)
% 7.62/1.56 % (1444569)Instruction limit reached!
% 7.62/1.56 % (1444569)------------------------------
% 7.62/1.56 % (1444569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.56 % (1444569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.56 % (1444569)CaDiCaL version: 2.1.3
% 7.62/1.56 % (1444569)Termination reason: Instruction limit
% 7.62/1.56 % (1444569)Termination phase: Saturation
% 7.62/1.56 % (1444569)Time elapsed: 0.168 s
% 7.62/1.56 % (1444569)Peak memory usage: 18 MB
% 7.62/1.56 % (1444569)Instructions burned: 376 (million)
% 7.62/1.56 % (1444587)Instruction limit reached!
% 7.62/1.56 % (1444587)------------------------------
% 7.62/1.56 % (1444587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.56 % (1444587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.56 % (1444587)CaDiCaL version: 2.1.3
% 7.62/1.56 % (1444587)Termination reason: Instruction limit
% 7.62/1.56 % (1444587)Termination phase: Saturation
% 7.62/1.56 % (1444587)Time elapsed: 0.031 s
% 7.62/1.56 % (1444587)Peak memory usage: 12 MB
% 7.62/1.56 % (1444587)Instructions burned: 139 (million)
% 7.62/1.56 % (1444590)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=4012559150:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/340Mi)
% 7.62/1.56 % (1444591)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3774615368:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 7.62/1.56 % (1444593)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3230754453:i=116:ep=RSTC:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/116Mi)
% 7.62/1.56 % (1444592)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.62/1.56 % (1444592)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1999870400:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/373Mi)
% 7.62/1.56 % (1444591)Refutation not found, incomplete strategy
% 7.62/1.56 % (1444591)------------------------------
% 7.62/1.56 % (1444591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.56 % (1444591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.56 % (1444591)CaDiCaL version: 2.1.3
% 7.62/1.56 % (1444591)Termination reason: Refutation not found, incomplete strategy
% 8.11/1.68 % (1444591)Time elapsed: 0.013 s
% 8.11/1.68 % (1444591)Peak memory usage: 13 MB
% 8.11/1.68 % (1444591)Instructions burned: 24 (million)
% 8.11/1.68 % (1444591)------------------------------
% 8.11/1.68 % (1444591)------------------------------
% 8.11/1.68 % (1444593)Instruction limit reached!
% 8.11/1.68 % (1444593)------------------------------
% 8.11/1.68 % (1444593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.68 % (1444593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.68 % (1444593)CaDiCaL version: 2.1.3
% 8.11/1.68 % (1444593)Termination reason: Instruction limit
% 8.11/1.68 % (1444593)Termination phase: Saturation
% 8.11/1.68 % (1444593)Time elapsed: 0.028 s
% 8.11/1.68 % (1444593)Peak memory usage: 13 MB
% 8.11/1.68 % (1444593)Instructions burned: 120 (million)
% 8.11/1.68 % (1444598)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3633521255:i=575:rtra=on_2989 on theBenchmark for (2989ds/575Mi)
% 8.11/1.68 % (1444600)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2957970748:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2989 on theBenchmark for (2989ds/270Mi)
% 8.11/1.68 % (1444573)Instruction limit reached!
% 8.11/1.68 % (1444573)------------------------------
% 8.11/1.68 % (1444573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.68 % (1444573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.68 % (1444573)CaDiCaL version: 2.1.3
% 8.11/1.68 % (1444573)Termination reason: Instruction limit
% 8.11/1.68 % (1444573)Termination phase: Saturation
% 8.11/1.68 % (1444573)Time elapsed: 0.238 s
% 8.11/1.68 % (1444573)Peak memory usage: 19 MB
% 8.11/1.68 % (1444573)Instructions burned: 496 (million)
% 8.11/1.68 % (1444603)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=2629050883:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/9840Mi)
% 8.11/1.68 % (1444600)Instruction limit reached!
% 8.11/1.68 % (1444600)------------------------------
% 8.11/1.68 % (1444600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.68 % (1444600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.68 % (1444600)CaDiCaL version: 2.1.3
% 8.11/1.68 % (1444600)Termination reason: Instruction limit
% 8.11/1.68 % (1444600)Termination phase: Saturation
% 8.11/1.68 % (1444600)Time elapsed: 0.063 s
% 8.11/1.68 % (1444600)Peak memory usage: 13 MB
% 8.11/1.68 % (1444600)Instructions burned: 272 (million)
% 8.11/1.68 % (1444605)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2363899037:i=421:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/421Mi)
% 8.11/1.68 % (1444584)Instruction limit reached!
% 8.11/1.68 % (1444584)------------------------------
% 8.11/1.68 % (1444584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.68 % (1444584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.68 % (1444584)CaDiCaL version: 2.1.3
% 8.11/1.68 % (1444584)Termination reason: Instruction limit
% 8.11/1.68 % (1444584)Termination phase: Saturation
% 8.11/1.68 % (1444584)Time elapsed: 0.179 s
% 8.11/1.68 % (1444584)Peak memory usage: 15 MB
% 8.11/1.68 % (1444584)Instructions burned: 339 (million)
% 8.11/1.68 % (1444590)Instruction limit reached!
% 8.11/1.68 % (1444590)------------------------------
% 8.11/1.68 % (1444590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.68 % (1444590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.68 % (1444590)CaDiCaL version: 2.1.3
% 8.11/1.68 % (1444590)Termination reason: Instruction limit
% 8.11/1.68 % (1444590)Termination phase: Saturation
% 8.11/1.68 % (1444590)Time elapsed: 0.140 s
% 8.11/1.68 % (1444590)Peak memory usage: 13 MB
% 8.11/1.68 % (1444590)Instructions burned: 340 (million)
% 8.11/1.68 % (1444607)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 8.11/1.68 % (1444607)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=232937256:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.74/1.87 % (1444608)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2765012146:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 8.74/1.87 % (1444607)Refutation not found, incomplete strategy
% 8.74/1.87 % (1444607)------------------------------
% 8.74/1.87 % (1444607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.87 % (1444607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.87 % (1444607)CaDiCaL version: 2.1.3
% 8.74/1.87 % (1444607)Termination reason: Refutation not found, incomplete strategy
% 8.74/1.87 % (1444607)Time elapsed: 0.016 s
% 8.74/1.87 % (1444607)Peak memory usage: 12 MB
% 8.74/1.87 % (1444607)Instructions burned: 38 (million)
% 8.74/1.87 % (1444607)------------------------------
% 8.74/1.87 % (1444607)------------------------------
% 8.74/1.87 % (1444592)Instruction limit reached!
% 8.74/1.87 % (1444592)------------------------------
% 8.74/1.87 % (1444592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.87 % (1444592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.87 % (1444592)CaDiCaL version: 2.1.3
% 8.74/1.87 % (1444592)Termination reason: Instruction limit
% 8.74/1.87 % (1444592)Termination phase: Saturation
% 8.74/1.87 % (1444592)Time elapsed: 0.154 s
% 8.74/1.87 % (1444592)Peak memory usage: 14 MB
% 8.74/1.87 % (1444592)Instructions burned: 375 (million)
% 8.74/1.87 % (1444608)Instruction limit reached!
% 8.74/1.87 % (1444608)------------------------------
% 8.74/1.87 % (1444608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.87 % (1444608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.87 % (1444608)CaDiCaL version: 2.1.3
% 8.74/1.87 % (1444608)Termination reason: Instruction limit
% 8.74/1.87 % (1444608)Termination phase: Saturation
% 8.74/1.87 % (1444608)Time elapsed: 0.013 s
% 8.74/1.87 % (1444608)Peak memory usage: 11 MB
% 8.74/1.87 % (1444608)Instructions burned: 33 (million)
% 8.74/1.87 % (1444611)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.74/1.87 % (1444611)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
% 8.74/1.87 % (1444611)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=392413659:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 8.74/1.87 % (1444612)dis+10_2_sil=128000:si=on:random_seed=3095188867:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 8.74/1.87 % (1444613)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=105161981:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.74/1.87 % (1444605)Instruction limit reached!
% 8.74/1.87 % (1444605)------------------------------
% 8.74/1.87 % (1444605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.87 % (1444605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.87 % (1444605)CaDiCaL version: 2.1.3
% 8.74/1.87 % (1444605)Termination reason: Instruction limit
% 8.74/1.87 % (1444605)Termination phase: Saturation
% 8.74/1.87 % (1444605)Time elapsed: 0.098 s
% 8.74/1.87 % (1444605)Peak memory usage: 18 MB
% 8.74/1.87 % (1444605)Instructions burned: 424 (million)
% 8.74/1.87 % (1444629)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=3888081098:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/122Mi)
% 8.74/1.87 % (1444613)Instruction limit reached!
% 8.74/1.87 % (1444613)------------------------------
% 8.74/1.87 % (1444613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.87 % (1444613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.87 % (1444613)CaDiCaL version: 2.1.3
% 8.74/1.87 % (1444613)Termination reason: Instruction limit
% 8.74/1.87 % (1444613)Termination phase: Saturation
% 8.74/1.87 % (1444613)Time elapsed: 0.050 s
% 8.74/1.87 % (1444613)Peak memory usage: 13 MB
% 8.74/1.87 % (1444613)Instructions burned: 113 (million)
% 8.74/1.87 % (1444629)Instruction limit reached!
% 12.17/2.09 % (1444629)------------------------------
% 12.17/2.09 % (1444629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09 % (1444629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09 % (1444629)CaDiCaL version: 2.1.3
% 12.17/2.09 % (1444629)Termination reason: Instruction limit
% 12.17/2.09 % (1444629)Termination phase: Saturation
% 12.17/2.09 % (1444629)Time elapsed: 0.028 s
% 12.17/2.09 % (1444629)Peak memory usage: 13 MB
% 12.17/2.09 % (1444629)Instructions burned: 123 (million)
% 12.17/2.09 % (1444640)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1406443784:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/136Mi)
% 12.17/2.09 % (1444646)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3793461170:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 12.17/2.09 % (1444598)Instruction limit reached!
% 12.17/2.09 % (1444598)------------------------------
% 12.17/2.09 % (1444598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09 % (1444598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09 % (1444598)CaDiCaL version: 2.1.3
% 12.17/2.09 % (1444598)Termination reason: Instruction limit
% 12.17/2.09 % (1444598)Termination phase: Saturation
% 12.17/2.09 % (1444598)Time elapsed: 0.255 s
% 12.17/2.09 % (1444598)Peak memory usage: 19 MB
% 12.17/2.09 % (1444598)Instructions burned: 576 (million)
% 12.17/2.09 % (1444662)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2079010187:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/1254Mi)
% 12.17/2.09 % (1444640)Instruction limit reached!
% 12.17/2.09 % (1444640)------------------------------
% 12.17/2.09 % (1444640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09 % (1444640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09 % (1444640)CaDiCaL version: 2.1.3
% 12.17/2.09 % (1444640)Termination reason: Instruction limit
% 12.17/2.09 % (1444640)Termination phase: Saturation
% 12.17/2.09 % (1444640)Time elapsed: 0.061 s
% 12.17/2.09 % (1444640)Peak memory usage: 14 MB
% 12.17/2.09 % (1444640)Instructions burned: 136 (million)
% 12.17/2.09 % (1444646)Instruction limit reached!
% 12.17/2.09 % (1444646)------------------------------
% 12.17/2.09 % (1444646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09 % (1444646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09 % (1444646)CaDiCaL version: 2.1.3
% 12.17/2.09 % (1444646)Termination reason: Instruction limit
% 12.17/2.09 % (1444646)Termination phase: Saturation
% 12.17/2.09 % (1444646)Time elapsed: 0.066 s
% 12.17/2.09 % (1444646)Peak memory usage: 13 MB
% 12.17/2.09 % (1444646)Instructions burned: 236 (million)
% 12.17/2.09 % (1444612)Instruction limit reached!
% 12.17/2.09 % (1444612)------------------------------
% 12.17/2.09 % (1444612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.09 % (1444612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.09 % (1444612)CaDiCaL version: 2.1.3
% 12.17/2.09 % (1444612)Termination reason: Instruction limit
% 12.17/2.09 % (1444612)Termination phase: Saturation
% 12.17/2.09 % (1444612)Time elapsed: 0.151 s
% 12.17/2.09 % (1444612)Peak memory usage: 15 MB
% 12.17/2.09 % (1444612)Instructions burned: 341 (million)
% 12.17/2.09 % (1444671)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.17/2.09 % (1444671)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=2790671104:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2986 on theBenchmark for (2986ds/281Mi)
% 12.17/2.09 % (1444677)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=563194948:i=619:add=on:rtra=on_2986 on theBenchmark for (2986ds/619Mi)
% 12.17/2.09 % (1444678)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=1602147557:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/865Mi)
% 12.17/2.09 % (1444677)Refutation not found, incomplete strategy
% 12.17/2.09 % (1444677)------------------------------
% 13.08/2.26 % (1444677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.26 % (1444677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.26 % (1444677)CaDiCaL version: 2.1.3
% 13.08/2.26 % (1444677)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.26 % (1444677)Time elapsed: 0.033 s
% 13.08/2.26 % (1444677)Peak memory usage: 14 MB
% 13.08/2.26 % (1444677)Instructions burned: 129 (million)
% 13.08/2.26 % (1444677)------------------------------
% 13.08/2.26 % (1444677)------------------------------
% 13.08/2.26 % (1444698)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4165141776:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/212Mi)
% 13.08/2.26 % (1444698)Instruction limit reached!
% 13.08/2.26 % (1444698)------------------------------
% 13.08/2.26 % (1444698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.26 % (1444698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.26 % (1444698)CaDiCaL version: 2.1.3
% 13.08/2.26 % (1444698)Termination reason: Instruction limit
% 13.08/2.26 % (1444698)Termination phase: Saturation
% 13.08/2.26 % (1444698)Time elapsed: 0.050 s
% 13.08/2.26 % (1444698)Peak memory usage: 15 MB
% 13.08/2.26 % (1444698)Instructions burned: 216 (million)
% 13.08/2.26 % (1444712)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1090668442:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/130Mi)
% 13.08/2.26 % (1444671)Instruction limit reached!
% 13.08/2.26 % (1444671)------------------------------
% 13.08/2.26 % (1444671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.26 % (1444671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.26 % (1444671)CaDiCaL version: 2.1.3
% 13.08/2.26 % (1444671)Termination reason: Instruction limit
% 13.08/2.26 % (1444671)Termination phase: Saturation
% 13.08/2.26 % (1444671)Time elapsed: 0.113 s
% 13.08/2.26 % (1444671)Peak memory usage: 12 MB
% 13.08/2.26 % (1444671)Instructions burned: 283 (million)
% 13.08/2.26 % (1444719)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=167029319:st=1.5:i=346:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/346Mi)
% 13.08/2.26 % (1444712)Instruction limit reached!
% 13.08/2.26 % (1444712)------------------------------
% 13.08/2.26 % (1444712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.26 % (1444712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.26 % (1444712)CaDiCaL version: 2.1.3
% 13.08/2.26 % (1444712)Termination reason: Instruction limit
% 13.08/2.26 % (1444712)Termination phase: Saturation
% 13.08/2.26 % (1444712)Time elapsed: 0.028 s
% 13.08/2.26 % (1444712)Peak memory usage: 12 MB
% 13.08/2.26 % (1444712)Instructions burned: 132 (million)
% 13.08/2.26 % (1444728)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2107790754:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/152Mi)
% 13.08/2.26 % (1444728)Instruction limit reached!
% 13.08/2.26 % (1444728)------------------------------
% 13.08/2.26 % (1444728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.26 % (1444728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.26 % (1444728)CaDiCaL version: 2.1.3
% 13.08/2.26 % (1444728)Termination reason: Instruction limit
% 13.08/2.26 % (1444728)Termination phase: Saturation
% 13.08/2.26 % (1444728)Time elapsed: 0.036 s
% 13.08/2.26 % (1444728)Peak memory usage: 14 MB
% 13.08/2.26 % (1444728)Instructions burned: 156 (million)
% 13.08/2.26 % (1444736)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1617159396:i=75:ep=R:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/75Mi)
% 13.08/2.26 % (1444736)Instruction limit reached!
% 13.08/2.26 % (1444736)------------------------------
% 13.08/2.26 % (1444736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.26 % (1444736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.26 % (1444736)CaDiCaL version: 2.1.3
% 13.08/2.26 % (1444736)Termination reason: Instruction limit
% 13.08/2.26 % (1444736)Termination phase: Saturation
% 13.08/2.26 % (1444736)Time elapsed: 0.019 s
% 13.08/2.26 % (1444736)Peak memory usage: 12 MB
% 13.08/2.26 % (1444736)Instructions burned: 79 (million)
% 13.08/2.26 % (1444750)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=4285012953:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/387Mi)
% 14.14/2.45 % (1444719)Instruction limit reached!
% 14.14/2.45 % (1444719)------------------------------
% 14.14/2.45 % (1444719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.45 % (1444719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.45 % (1444719)CaDiCaL version: 2.1.3
% 14.14/2.45 % (1444719)Termination reason: Instruction limit
% 14.14/2.45 % (1444719)Termination phase: Saturation
% 14.14/2.45 % (1444719)Time elapsed: 0.163 s
% 14.14/2.45 % (1444719)Peak memory usage: 13 MB
% 14.14/2.45 % (1444719)Instructions burned: 347 (million)
% 14.14/2.45 % (1444750)Instruction limit reached!
% 14.14/2.45 % (1444750)------------------------------
% 14.14/2.45 % (1444750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.45 % (1444750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.45 % (1444750)CaDiCaL version: 2.1.3
% 14.14/2.45 % (1444750)Termination reason: Instruction limit
% 14.14/2.45 % (1444750)Termination phase: Saturation
% 14.14/2.45 % (1444750)Time elapsed: 0.089 s
% 14.14/2.45 % (1444750)Peak memory usage: 13 MB
% 14.14/2.45 % (1444750)Instructions burned: 390 (million)
% 14.14/2.45 % (1444784)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=779375793:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2983 on theBenchmark for (2983ds/148Mi)
% 14.14/2.45 % (1444792)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=321262745:i=161:piset=and:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/161Mi)
% 14.14/2.45 % (1444792)Instruction limit reached!
% 14.14/2.45 % (1444792)------------------------------
% 14.14/2.45 % (1444792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.45 % (1444792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.45 % (1444792)CaDiCaL version: 2.1.3
% 14.14/2.45 % (1444792)Termination reason: Instruction limit
% 14.14/2.45 % (1444792)Termination phase: Saturation
% 14.14/2.45 % (1444792)Time elapsed: 0.039 s
% 14.14/2.45 % (1444792)Peak memory usage: 14 MB
% 14.14/2.45 % (1444792)Instructions burned: 165 (million)
% 14.14/2.45 % (1444800)lrs+10_1_sil=128000:si=on:random_seed=1367733883:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 14.14/2.45 % (1444784)Instruction limit reached!
% 14.14/2.45 % (1444784)------------------------------
% 14.14/2.45 % (1444784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.45 % (1444784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.45 % (1444784)CaDiCaL version: 2.1.3
% 14.14/2.45 % (1444784)Termination reason: Instruction limit
% 14.14/2.45 % (1444784)Termination phase: Saturation
% 14.14/2.45 % (1444784)Time elapsed: 0.068 s
% 14.14/2.45 % (1444784)Peak memory usage: 12 MB
% 14.14/2.45 % (1444784)Instructions burned: 148 (million)
% 14.14/2.45 % (1444802)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1484260533:i=136:add=on:ins=4:rtra=on:sup=off_2982 on theBenchmark for (2982ds/136Mi)
% 14.14/2.45 % (1444802)Refutation not found, incomplete strategy
% 14.14/2.45 % (1444802)------------------------------
% 14.14/2.45 % (1444802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.45 % (1444802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.45 % (1444802)CaDiCaL version: 2.1.3
% 14.14/2.45 % (1444802)Termination reason: Refutation not found, incomplete strategy
% 14.14/2.45 % (1444802)Time elapsed: 0.016 s
% 14.14/2.45 % (1444802)Peak memory usage: 13 MB
% 14.14/2.45 % (1444802)Instructions burned: 35 (million)
% 14.14/2.45 % (1444802)------------------------------
% 14.14/2.45 % (1444802)------------------------------
% 14.14/2.45 % (1444678)Instruction limit reached!
% 14.14/2.45 % (1444678)------------------------------
% 14.14/2.45 % (1444678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.45 % (1444678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.45 % (1444678)CaDiCaL version: 2.1.3
% 14.14/2.45 % (1444678)Termination reason: Instruction limit
% 14.14/2.45 % (1444678)Termination phase: Saturation
% 14.14/2.45 % (1444678)Time elapsed: 0.424 s
% 14.14/2.45 % (1444678)Peak memory usage: 16 MB
% 14.14/2.45 % (1444678)Instructions burned: 866 (million)
% 14.14/2.45 % (1444804)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=1901717619:i=88:s2at=3:nm=2:rtra=on:rawr=on_2982 on theBenchmark for (2982ds/88Mi)
% 15.44/2.60 % (1444805)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1665998656:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2982 on theBenchmark for (2982ds/93Mi)
% 15.44/2.60 % (1444804)Instruction limit reached!
% 15.44/2.60 % (1444804)------------------------------
% 15.44/2.60 % (1444804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (1444804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (1444804)CaDiCaL version: 2.1.3
% 15.44/2.60 % (1444804)Termination reason: Instruction limit
% 15.44/2.60 % (1444804)Termination phase: Saturation
% 15.44/2.60 % (1444804)Time elapsed: 0.038 s
% 15.44/2.60 % (1444804)Peak memory usage: 13 MB
% 15.44/2.60 % (1444804)Instructions burned: 89 (million)
% 15.44/2.60 % (1444805)Instruction limit reached!
% 15.44/2.60 % (1444805)------------------------------
% 15.44/2.60 % (1444805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (1444805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (1444805)CaDiCaL version: 2.1.3
% 15.44/2.60 % (1444805)Termination reason: Instruction limit
% 15.44/2.60 % (1444805)Termination phase: Saturation
% 15.44/2.60 % (1444805)Time elapsed: 0.038 s
% 15.44/2.60 % (1444805)Peak memory usage: 12 MB
% 15.44/2.60 % (1444805)Instructions burned: 95 (million)
% 15.44/2.60 % (1444662)Instruction limit reached!
% 15.44/2.60 % (1444662)------------------------------
% 15.44/2.60 % (1444662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (1444662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (1444662)CaDiCaL version: 2.1.3
% 15.44/2.60 % (1444662)Termination reason: Instruction limit
% 15.44/2.60 % (1444662)Termination phase: Saturation
% 15.44/2.60 % (1444662)Time elapsed: 0.527 s
% 15.44/2.60 % (1444662)Peak memory usage: 15 MB
% 15.44/2.60 % (1444662)Instructions burned: 1254 (million)
% 15.44/2.60 % (1444808)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1055784001:i=2186:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/2186Mi)
% 15.44/2.60 % (1444611)Instruction limit reached!
% 15.44/2.60 % (1444611)------------------------------
% 15.44/2.60 % (1444611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (1444611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (1444611)CaDiCaL version: 2.1.3
% 15.44/2.60 % (1444611)Termination reason: Instruction limit
% 15.44/2.60 % (1444611)Termination phase: Saturation
% 15.44/2.60 % (1444611)Time elapsed: 0.669 s
% 15.44/2.60 % (1444611)Peak memory usage: 24 MB
% 15.44/2.60 % (1444611)Instructions burned: 1441 (million)
% 15.44/2.60 % (1444809)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1306875826:s2a=on:i=240:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/240Mi)
% 15.44/2.60 % (1444810)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=464976300:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2981 on theBenchmark for (2981ds/805Mi)
% 15.44/2.60 % (1444812)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 15.44/2.60 % (1444812)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=1043131663:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2981 on theBenchmark for (2981ds/391Mi)
% 15.44/2.60 % (1444800)Instruction limit reached!
% 15.44/2.60 % (1444800)------------------------------
% 15.44/2.60 % (1444800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (1444800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (1444800)CaDiCaL version: 2.1.3
% 15.44/2.60 % (1444800)Termination reason: Instruction limit
% 15.44/2.60 % (1444800)Termination phase: Saturation
% 15.44/2.60 % (1444800)Time elapsed: 0.209 s
% 15.44/2.60 % (1444800)Peak memory usage: 19 MB
% 15.44/2.60 % (1444800)Instructions burned: 892 (million)
% 15.44/2.60 % (1444816)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2111546226:i=355:av=off:fsr=off:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/355Mi)
% 15.44/2.60 % (1444809)Instruction limit reached!
% 15.44/2.60 % (1444809)------------------------------
% 15.44/2.67 % (1444809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.67 % (1444809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.67 % (1444809)CaDiCaL version: 2.1.3
% 15.44/2.67 % (1444809)Termination reason: Instruction limit
% 15.44/2.67 % (1444809)Termination phase: Saturation
% 15.44/2.67 % (1444809)Time elapsed: 0.104 s
% 15.44/2.67 % (1444809)Peak memory usage: 15 MB
% 15.44/2.67 % (1444809)Instructions burned: 242 (million)
% 15.44/2.67 % (1444818)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=134537685:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/314Mi)
% 15.44/2.67 % (1444818)Refutation not found, incomplete strategy
% 15.44/2.67 % (1444818)------------------------------
% 15.44/2.67 % (1444818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.67 % (1444818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.67 % (1444818)CaDiCaL version: 2.1.3
% 15.44/2.67 % (1444818)Termination reason: Refutation not found, incomplete strategy
% 15.44/2.67 % (1444818)Time elapsed: 0.012 s
% 15.44/2.67 % (1444818)Peak memory usage: 12 MB
% 15.44/2.67 % (1444818)Instructions burned: 25 (million)
% 15.44/2.67 % (1444818)------------------------------
% 15.44/2.67 % (1444818)------------------------------
% 15.44/2.67 % (1444820)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=60170127:s2a=on:i=251:fsr=off:rtra=on_2979 on theBenchmark for (2979ds/251Mi)
% 15.44/2.67 % (1444812)Instruction limit reached!
% 15.44/2.67 % (1444812)------------------------------
% 15.44/2.67 % (1444812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.67 % (1444812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.67 % (1444812)CaDiCaL version: 2.1.3
% 15.44/2.67 % (1444812)Termination reason: Instruction limit
% 15.44/2.67 % (1444812)Termination phase: Saturation
% 15.44/2.67 % (1444812)Time elapsed: 0.154 s
% 15.44/2.67 % (1444812)Peak memory usage: 12 MB
% 15.44/2.67 % (1444812)Instructions burned: 391 (million)
% 15.44/2.67 % (1444816)Instruction limit reached!
% 15.44/2.67 % (1444816)------------------------------
% 15.44/2.67 % (1444816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.67 % (1444816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.67 % (1444816)CaDiCaL version: 2.1.3
% 15.44/2.67 % (1444816)Termination reason: Instruction limit
% 15.44/2.67 % (1444816)Termination phase: Saturation
% 15.44/2.67 % (1444816)Time elapsed: 0.083 s
% 15.44/2.67 % (1444816)Peak memory usage: 15 MB
% 15.44/2.67 % (1444816)Instructions burned: 359 (million)
% 15.44/2.67 % (1444823)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3370291744:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2979 on theBenchmark for (2979ds/673Mi)
% 15.44/2.67 % (1444822)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1823028437:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2979 on theBenchmark for (2979ds/2470Mi)
% 15.44/2.67 % (1444820)Instruction limit reached!
% 15.44/2.67 % (1444820)------------------------------
% 15.44/2.67 % (1444820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.67 % (1444820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.67 % (1444820)CaDiCaL version: 2.1.3
% 15.44/2.67 % (1444820)Termination reason: Instruction limit
% 15.44/2.67 % (1444820)Termination phase: Saturation
% 15.44/2.67 % (1444820)Time elapsed: 0.095 s
% 15.44/2.67 % (1444820)Peak memory usage: 12 MB
% 15.44/2.67 % (1444820)Instructions burned: 252 (million)
% 15.44/2.67 % (1444826)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3105038871:i=116:ep=RSTC:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/116Mi)
% 15.44/2.67 % (1444810)Refutation not found, incomplete strategy
% 15.44/2.67 % (1444810)------------------------------
% 15.44/2.67 % (1444810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.67 % (1444810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.67 % (1444810)CaDiCaL version: 2.1.3
% 15.44/2.67 % (1444810)Termination reason: Refutation not found, incomplete strategy
% 15.44/2.67 % (1444810)Time elapsed: 0.288 s
% 19.36/3.04 % (1444810)Peak memory usage: 21 MB
% 19.36/3.04 % (1444810)Instructions burned: 647 (million)
% 19.36/3.04 % (1444810)------------------------------
% 19.36/3.04 % (1444810)------------------------------
% 19.36/3.04 % (1444828)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4128048477:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2978 on theBenchmark for (2978ds/270Mi)
% 19.36/3.04 % (1444826)Instruction limit reached!
% 19.36/3.04 % (1444826)------------------------------
% 19.36/3.04 % (1444826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.36/3.04 % (1444826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.36/3.04 % (1444826)CaDiCaL version: 2.1.3
% 19.36/3.04 % (1444826)Termination reason: Instruction limit
% 19.36/3.04 % (1444826)Termination phase: Saturation
% 19.36/3.04 % (1444826)Time elapsed: 0.051 s
% 19.36/3.04 % (1444826)Peak memory usage: 13 MB
% 19.36/3.04 % (1444826)Instructions burned: 117 (million)
% 19.36/3.04 % (1444823)Instruction limit reached!
% 19.36/3.04 % (1444823)------------------------------
% 19.36/3.04 % (1444823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.36/3.04 % (1444823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.36/3.04 % (1444823)CaDiCaL version: 2.1.3
% 19.36/3.04 % (1444823)Termination reason: Instruction limit
% 19.36/3.04 % (1444823)Termination phase: Saturation
% 19.36/3.04 % (1444823)Time elapsed: 0.157 s
% 19.36/3.04 % (1444823)Peak memory usage: 19 MB
% 19.36/3.04 % (1444823)Instructions burned: 677 (million)
% 19.36/3.04 % (1444830)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=802656746:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2977 on theBenchmark for (2977ds/30Mi)
% 19.36/3.04 % (1444831)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 19.36/3.04 % (1444831)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2686510564:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2977 on theBenchmark for (2977ds/39Mi)
% 19.36/3.04 % (1444830)Instruction limit reached!
% 19.36/3.04 % (1444830)------------------------------
% 19.36/3.04 % (1444830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.36/3.04 % (1444830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.36/3.04 % (1444830)CaDiCaL version: 2.1.3
% 19.36/3.04 % (1444830)Termination reason: Instruction limit
% 19.36/3.04 % (1444830)Termination phase: Saturation
% 19.36/3.04 % (1444830)Time elapsed: 0.017 s
% 19.36/3.04 % (1444830)Peak memory usage: 13 MB
% 19.36/3.04 % (1444830)Instructions burned: 31 (million)
% 19.36/3.04 % (1444831)Instruction limit reached!
% 19.36/3.04 % (1444831)------------------------------
% 19.36/3.04 % (1444831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.36/3.04 % (1444831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.36/3.04 % (1444831)CaDiCaL version: 2.1.3
% 19.36/3.04 % (1444831)Termination reason: Instruction limit
% 19.36/3.04 % (1444831)Termination phase: Saturation
% 19.36/3.04 % (1444831)Time elapsed: 0.018 s
% 19.36/3.04 % (1444831)Peak memory usage: 12 MB
% 19.36/3.04 % (1444831)Instructions burned: 40 (million)
% 19.36/3.04 % (1444834)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4277273580:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2977 on theBenchmark for (2977ds/365Mi)
% 19.36/3.04 % (1444835)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4165509117:i=158:av=off:rtra=on_2977 on theBenchmark for (2977ds/158Mi)
% 19.36/3.04 % (1444828)Instruction limit reached!
% 19.36/3.04 % (1444828)------------------------------
% 19.36/3.04 % (1444828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.36/3.04 % (1444828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.36/3.04 % (1444828)CaDiCaL version: 2.1.3
% 19.36/3.04 % (1444828)Termination reason: Instruction limit
% 19.36/3.04 % (1444828)Termination phase: Saturation
% 19.36/3.04 % (1444828)Time elapsed: 0.121 s
% 19.36/3.04 % (1444828)Peak memory usage: 13 MB
% 19.36/3.04 % (1444828)Instructions burned: 271 (million)
% 19.36/3.04 % (1444838)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 19.98/3.19 % (1444838)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=4271896260:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/252Mi)
% 19.98/3.19 % (1444838)Refutation not found, incomplete strategy
% 19.98/3.19 % (1444838)------------------------------
% 19.98/3.19 % (1444838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.19 % (1444838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.19 % (1444838)CaDiCaL version: 2.1.3
% 19.98/3.19 % (1444838)Termination reason: Refutation not found, incomplete strategy
% 19.98/3.19 % (1444838)Time elapsed: 0.009 s
% 19.98/3.19 % (1444838)Peak memory usage: 13 MB
% 19.98/3.19 % (1444838)Instructions burned: 38 (million)
% 19.98/3.19 % (1444838)------------------------------
% 19.98/3.19 % (1444838)------------------------------
% 19.98/3.19 % (1444840)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1772448751:i=213:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/213Mi)
% 19.98/3.19 % (1444835)Instruction limit reached!
% 19.98/3.19 % (1444835)------------------------------
% 19.98/3.19 % (1444835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.19 % (1444835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.19 % (1444835)CaDiCaL version: 2.1.3
% 19.98/3.19 % (1444835)Termination reason: Instruction limit
% 19.98/3.19 % (1444835)Termination phase: Saturation
% 19.98/3.19 % (1444835)Time elapsed: 0.081 s
% 19.98/3.19 % (1444835)Peak memory usage: 13 MB
% 19.98/3.19 % (1444835)Instructions burned: 159 (million)
% 19.98/3.19 % (1444840)Refutation not found, incomplete strategy
% 19.98/3.19 % (1444840)------------------------------
% 19.98/3.19 % (1444840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.19 % (1444840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.19 % (1444840)CaDiCaL version: 2.1.3
% 19.98/3.19 % (1444840)Termination reason: Refutation not found, incomplete strategy
% 19.98/3.19 % (1444840)Time elapsed: 0.009 s
% 19.98/3.19 % (1444840)Peak memory usage: 13 MB
% 19.98/3.19 % (1444840)Instructions burned: 37 (million)
% 19.98/3.19 % (1444840)------------------------------
% 19.98/3.19 % (1444840)------------------------------
% 19.98/3.19 % (1444843)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3262759126:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/763Mi)
% 19.98/3.19 % (1444842)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=4278152270:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/160Mi)
% 19.98/3.19 % (1444843)Refutation not found, incomplete strategy
% 19.98/3.19 % (1444843)------------------------------
% 19.98/3.19 % (1444843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.19 % (1444843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.19 % (1444843)CaDiCaL version: 2.1.3
% 19.98/3.19 % (1444843)Termination reason: Refutation not found, incomplete strategy
% 19.98/3.19 % (1444843)Time elapsed: 0.008 s
% 19.98/3.19 % (1444843)Peak memory usage: 12 MB
% 19.98/3.19 % (1444843)Instructions burned: 34 (million)
% 19.98/3.19 % (1444843)------------------------------
% 19.98/3.19 % (1444843)------------------------------
% 19.98/3.19 % (1444846)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.98/3.19 % (1444842)Refutation not found, incomplete strategy
% 19.98/3.19 % (1444842)------------------------------
% 19.98/3.19 % (1444842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.19 % (1444842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.19 % (1444842)CaDiCaL version: 2.1.3
% 19.98/3.19 % (1444842)Termination reason: Refutation not found, incomplete strategy
% 19.98/3.19 % (1444842)Time elapsed: 0.017 s
% 19.98/3.19 % (1444842)Peak memory usage: 12 MB
% 19.98/3.19 % (1444842)Instructions burned: 39 (million)
% 19.98/3.19 % (1444842)------------------------------
% 19.98/3.19 % (1444842)------------------------------
% 19.98/3.19 % (1444846)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2244458457:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2976 on theBenchmark for (2976ds/237Mi)
% 20.29/3.27 % (1444847)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1640272200:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 20.29/3.27 % (1444834)Instruction limit reached!
% 20.29/3.27 % (1444834)------------------------------
% 20.29/3.27 % (1444834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.27 % (1444834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.27 % (1444834)CaDiCaL version: 2.1.3
% 20.29/3.27 % (1444834)Termination reason: Instruction limit
% 20.29/3.27 % (1444834)Termination phase: Saturation
% 20.29/3.27 % (1444834)Time elapsed: 0.158 s
% 20.29/3.27 % (1444834)Peak memory usage: 17 MB
% 20.29/3.27 % (1444834)Instructions burned: 366 (million)
% 20.29/3.27 % (1444850)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1626024978:i=300:piset=and:nm=32:rtra=on_2975 on theBenchmark for (2975ds/300Mi)
% 20.29/3.27 % (1444846)Instruction limit reached!
% 20.29/3.27 % (1444846)------------------------------
% 20.29/3.27 % (1444846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.27 % (1444846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.27 % (1444846)CaDiCaL version: 2.1.3
% 20.29/3.27 % (1444846)Termination reason: Instruction limit
% 20.29/3.27 % (1444846)Termination phase: Saturation
% 20.29/3.27 % (1444846)Time elapsed: 0.104 s
% 20.29/3.27 % (1444846)Peak memory usage: 15 MB
% 20.29/3.27 % (1444846)Instructions burned: 238 (million)
% 20.29/3.27 % (1444852)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2748833759:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/567Mi)
% 20.29/3.27 % (1444850)Instruction limit reached!
% 20.29/3.27 % (1444850)------------------------------
% 20.29/3.27 % (1444850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.27 % (1444850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.27 % (1444850)CaDiCaL version: 2.1.3
% 20.29/3.27 % (1444850)Termination reason: Instruction limit
% 20.29/3.27 % (1444850)Termination phase: Saturation
% 20.29/3.27 % (1444850)Time elapsed: 0.133 s
% 20.29/3.27 % (1444850)Peak memory usage: 17 MB
% 20.29/3.27 % (1444850)Instructions burned: 302 (million)
% 20.29/3.27 % (1444854)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4223183663:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2974 on theBenchmark for (2974ds/379Mi)
% 20.29/3.27 % (1444847)Instruction limit reached!
% 20.29/3.27 % (1444847)------------------------------
% 20.29/3.27 % (1444847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.27 % (1444847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.27 % (1444847)CaDiCaL version: 2.1.3
% 20.29/3.27 % (1444847)Termination reason: Instruction limit
% 20.29/3.27 % (1444847)Termination phase: Saturation
% 20.29/3.27 % (1444847)Time elapsed: 0.177 s
% 20.29/3.27 % (1444847)Peak memory usage: 13 MB
% 20.29/3.27 % (1444847)Instructions burned: 387 (million)
% 20.29/3.27 % (1444856)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3099442096:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2974 on theBenchmark for (2974ds/429Mi)
% 20.29/3.27 % (1444856)Instruction limit reached!
% 20.29/3.27 % (1444856)------------------------------
% 20.29/3.27 % (1444856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.27 % (1444856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.27 % (1444856)CaDiCaL version: 2.1.3
% 20.29/3.27 % (1444856)Termination reason: Instruction limit
% 20.29/3.27 % (1444856)Termination phase: Saturation
% 20.29/3.27 % (1444856)Time elapsed: 0.104 s
% 20.29/3.27 % (1444856)Peak memory usage: 19 MB
% 20.29/3.27 % (1444856)Instructions burned: 430 (million)
% 20.29/3.27 % (1444858)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1784416677:i=478:bd=all:rtra=on_2972 on theBenchmark for (2972ds/478Mi)
% 20.29/3.27 % (1444854)Instruction limit reached!
% 20.29/3.27 % (1444854)------------------------------
% 20.29/3.27 % (1444854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.29/3.27 % (1444854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.29/3.27 % (1444854)CaDiCaL version: 2.1.3
% 22.16/3.52 % (1444854)Termination reason: Instruction limit
% 22.16/3.52 % (1444854)Termination phase: Saturation
% 22.16/3.52 % (1444854)Time elapsed: 0.173 s
% 22.16/3.52 % (1444854)Peak memory usage: 19 MB
% 22.16/3.52 % (1444854)Instructions burned: 380 (million)
% 22.16/3.52 % (1444860)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3331488237:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 22.16/3.52 % (1444852)Instruction limit reached!
% 22.16/3.52 % (1444852)------------------------------
% 22.16/3.52 % (1444852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.52 % (1444852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.52 % (1444852)CaDiCaL version: 2.1.3
% 22.16/3.52 % (1444852)Termination reason: Instruction limit
% 22.16/3.52 % (1444852)Termination phase: Saturation
% 22.16/3.52 % (1444852)Time elapsed: 0.264 s
% 22.16/3.52 % (1444852)Peak memory usage: 13 MB
% 22.16/3.52 % (1444852)Instructions burned: 568 (million)
% 22.16/3.52 % (1444862)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=356054961:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/71Mi)
% 22.16/3.52 % (1444858)Instruction limit reached!
% 22.16/3.52 % (1444858)------------------------------
% 22.16/3.52 % (1444858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.52 % (1444858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.52 % (1444858)CaDiCaL version: 2.1.3
% 22.16/3.52 % (1444858)Termination reason: Instruction limit
% 22.16/3.52 % (1444858)Termination phase: Saturation
% 22.16/3.52 % (1444858)Time elapsed: 0.112 s
% 22.16/3.52 % (1444858)Peak memory usage: 17 MB
% 22.16/3.52 % (1444858)Instructions burned: 481 (million)
% 22.16/3.52 % (1444862)Instruction limit reached!
% 22.16/3.52 % (1444862)------------------------------
% 22.16/3.52 % (1444862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.52 % (1444862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.52 % (1444862)CaDiCaL version: 2.1.3
% 22.16/3.52 % (1444862)Termination reason: Instruction limit
% 22.16/3.52 % (1444862)Termination phase: Saturation
% 22.16/3.52 % (1444862)Time elapsed: 0.033 s
% 22.16/3.52 % (1444862)Peak memory usage: 12 MB
% 22.16/3.52 % (1444862)Instructions burned: 73 (million)
% 22.16/3.52 % (1444864)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1540486908:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/302Mi)
% 22.16/3.52 % (1444865)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3227405645:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/4980Mi)
% 22.16/3.52 % (1444808)Instruction limit reached!
% 22.16/3.52 % (1444808)------------------------------
% 22.16/3.52 % (1444808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.52 % (1444808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.52 % (1444808)CaDiCaL version: 2.1.3
% 22.16/3.52 % (1444808)Termination reason: Instruction limit
% 22.16/3.52 % (1444808)Termination phase: Saturation
% 22.16/3.52 % (1444808)Time elapsed: 1.015 s
% 22.16/3.52 % (1444808)Peak memory usage: 17 MB
% 22.16/3.52 % (1444808)Instructions burned: 2186 (million)
% 22.16/3.52 % (1444868)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
% 22.16/3.52 % (1444868)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.16/3.52 % (1444868)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3393857549:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2971 on theBenchmark for (2971ds/100Mi)
% 22.16/3.52 % (1444864)Instruction limit reached!
% 22.16/3.52 % (1444864)------------------------------
% 22.16/3.52 % (1444864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.52 % (1444864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.52 % (1444864)CaDiCaL version: 2.1.3
% 22.16/3.52 % (1444864)Termination reason: Instruction limit
% 22.16/3.52 % (1444864)Termination phase: Saturation
% 22.16/3.52 % (1444864)Time elapsed: 0.072 s
% 22.16/3.52 % (1444864)Peak memory usage: 17 MB
% 22.16/3.52 % (1444864)Instructions burned: 304 (million)
% 22.96/3.74 % (1444870)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=2318646762:i=76:piset=equals:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/76Mi)
% 22.96/3.74 % (1444870)Instruction limit reached!
% 22.96/3.74 % (1444870)------------------------------
% 22.96/3.74 % (1444870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/3.74 % (1444870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/3.74 % (1444870)CaDiCaL version: 2.1.3
% 22.96/3.74 % (1444870)Termination reason: Instruction limit
% 22.96/3.74 % (1444870)Termination phase: Saturation
% 22.96/3.74 % (1444870)Time elapsed: 0.018 s
% 22.96/3.74 % (1444870)Peak memory usage: 13 MB
% 22.96/3.74 % (1444870)Instructions burned: 76 (million)
% 22.96/3.74 % (1444868)Instruction limit reached!
% 22.96/3.74 % (1444868)------------------------------
% 22.96/3.74 % (1444868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/3.74 % (1444868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/3.74 % (1444868)CaDiCaL version: 2.1.3
% 22.96/3.74 % (1444868)Termination reason: Instruction limit
% 22.96/3.74 % (1444868)Termination phase: Saturation
% 22.96/3.74 % (1444868)Time elapsed: 0.042 s
% 22.96/3.74 % (1444868)Peak memory usage: 12 MB
% 22.96/3.74 % (1444868)Instructions burned: 101 (million)
% 22.96/3.74 % (1444872)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=999458694:i=289:rtra=on_2970 on theBenchmark for (2970ds/289Mi)
% 22.96/3.74 % (1444873)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=1642323878:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2970 on theBenchmark for (2970ds/493Mi)
% 22.96/3.74 % (1444872)Refutation not found, incomplete strategy
% 22.96/3.74 % (1444872)------------------------------
% 22.96/3.74 % (1444872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/3.74 % (1444872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/3.74 % (1444872)CaDiCaL version: 2.1.3
% 22.96/3.74 % (1444872)Termination reason: Refutation not found, incomplete strategy
% 22.96/3.74 % (1444872)Time elapsed: 0.009 s
% 22.96/3.74 % (1444872)Peak memory usage: 13 MB
% 22.96/3.74 % (1444872)Instructions burned: 38 (million)
% 22.96/3.74 % (1444872)------------------------------
% 22.96/3.74 % (1444872)------------------------------
% 22.96/3.74 % (1444876)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=2509681029:cond=on:i=34:hud=10:nm=10:rtra=on_2970 on theBenchmark for (2970ds/34Mi)
% 22.96/3.74 % (1444860)Instruction limit reached!
% 22.96/3.74 % (1444860)------------------------------
% 22.96/3.74 % (1444860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/3.74 % (1444860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/3.74 % (1444860)CaDiCaL version: 2.1.3
% 22.96/3.74 % (1444860)Termination reason: Instruction limit
% 22.96/3.74 % (1444860)Termination phase: Saturation
% 22.96/3.74 % (1444860)Time elapsed: 0.193 s
% 22.96/3.74 % (1444860)Peak memory usage: 16 MB
% 22.96/3.74 % (1444860)Instructions burned: 445 (million)
% 22.96/3.74 % (1444876)Instruction limit reached!
% 22.96/3.74 % (1444876)------------------------------
% 22.96/3.74 % (1444876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/3.74 % (1444876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/3.74 % (1444876)CaDiCaL version: 2.1.3
% 22.96/3.74 % (1444876)Termination reason: Instruction limit
% 22.96/3.74 % (1444876)Termination phase: Saturation
% 22.96/3.74 % (1444876)Time elapsed: 0.007 s
% 22.96/3.74 % (1444876)Peak memory usage: 12 MB
% 22.96/3.74 % (1444876)Instructions burned: 34 (million)
% 22.96/3.74 % (1444878)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.96/3.74 % (1444879)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2032641579:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2970 on theBenchmark for (2970ds/670Mi)
% 22.96/3.74 % (1444878)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=3000955390:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2970 on theBenchmark for (2970ds/372Mi)
% 26.44/4.10 % (1444879)Instruction limit reached!
% 26.44/4.10 % (1444879)------------------------------
% 26.44/4.10 % (1444879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.44/4.10 % (1444879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/4.10 % (1444879)CaDiCaL version: 2.1.3
% 26.44/4.10 % (1444879)Termination reason: Instruction limit
% 26.44/4.10 % (1444879)Termination phase: Saturation
% 26.44/4.10 % (1444879)Time elapsed: 0.150 s
% 26.44/4.10 % (1444879)Peak memory usage: 20 MB
% 26.44/4.10 % (1444879)Instructions burned: 674 (million)
% 26.44/4.10 % (1444878)Instruction limit reached!
% 26.44/4.10 % (1444878)------------------------------
% 26.44/4.10 % (1444878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.44/4.10 % (1444878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/4.10 % (1444878)CaDiCaL version: 2.1.3
% 26.44/4.10 % (1444878)Termination reason: Instruction limit
% 26.44/4.10 % (1444878)Termination phase: Saturation
% 26.44/4.10 % (1444878)Time elapsed: 0.151 s
% 26.44/4.10 % (1444878)Peak memory usage: 12 MB
% 26.44/4.10 % (1444878)Instructions burned: 374 (million)
% 26.44/4.10 % (1444882)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3022115215:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/647Mi)
% 26.44/4.10 % (1444873)Instruction limit reached!
% 26.44/4.10 % (1444873)------------------------------
% 26.44/4.10 % (1444873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.44/4.10 % (1444873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/4.10 % (1444873)CaDiCaL version: 2.1.3
% 26.44/4.10 % (1444873)Termination reason: Instruction limit
% 26.44/4.10 % (1444873)Termination phase: Saturation
% 26.44/4.10 % (1444873)Time elapsed: 0.201 s
% 26.44/4.10 % (1444873)Peak memory usage: 13 MB
% 26.44/4.10 % (1444873)Instructions burned: 494 (million)
% 26.44/4.10 % (1444883)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=3427396224:i=857:add=off:kws=frequency:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/857Mi)
% 26.44/4.10 % (1444883)Refutation not found, incomplete strategy
% 26.44/4.10 % (1444883)------------------------------
% 26.44/4.10 % (1444883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.44/4.10 % (1444883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/4.10 % (1444883)CaDiCaL version: 2.1.3
% 26.44/4.10 % (1444883)Termination reason: Refutation not found, incomplete strategy
% 26.44/4.10 % (1444883)Time elapsed: 0.017 s
% 26.44/4.10 % (1444883)Peak memory usage: 13 MB
% 26.44/4.10 % (1444883)Instructions burned: 38 (million)
% 26.44/4.10 % (1444885)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=3682898114:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2968 on theBenchmark for (2968ds/693Mi)
% 26.44/4.10 % (1444883)------------------------------
% 26.44/4.10 % (1444883)------------------------------
% 26.44/4.10 % (1444822)Instruction limit reached!
% 26.44/4.10 % (1444822)------------------------------
% 26.44/4.10 % (1444822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.44/4.10 % (1444822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/4.10 % (1444822)CaDiCaL version: 2.1.3
% 26.44/4.10 % (1444822)Termination reason: Instruction limit
% 26.44/4.10 % (1444822)Termination phase: Saturation
% 26.44/4.10 % (1444822)Time elapsed: 1.136 s
% 26.44/4.10 % (1444822)Peak memory usage: 16 MB
% 26.44/4.10 % (1444822)Instructions burned: 2470 (million)
% 26.44/4.10 % (1444888)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2905789101:i=285:hud=10:bd=all:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/285Mi)
% 26.44/4.10 % (1444890)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 26.44/4.10 % (1444890)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=1004029482:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2967 on theBenchmark for (2967ds/52Mi)
% 26.44/4.10 % (1444890)Instruction limit reached!
% 26.44/4.10 % (1444890)------------------------------
% 26.44/4.10 % (1444890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.36 % (1444890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.36 % (1444890)CaDiCaL version: 2.1.3
% 28.19/4.36 % (1444890)Termination reason: Instruction limit
% 28.19/4.36 % (1444890)Termination phase: Saturation
% 28.19/4.36 % (1444890)Time elapsed: 0.023 s
% 28.19/4.36 % (1444890)Peak memory usage: 12 MB
% 28.19/4.36 % (1444890)Instructions burned: 54 (million)
% 28.19/4.36 % (1444892)dis+10_1_si=on:random_seed=3525012369:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2967 on theBenchmark for (2967ds/407Mi)
% 28.19/4.36 % (1444882)Instruction limit reached!
% 28.19/4.36 % (1444882)------------------------------
% 28.19/4.36 % (1444882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.36 % (1444882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.36 % (1444882)CaDiCaL version: 2.1.3
% 28.19/4.36 % (1444882)Termination reason: Instruction limit
% 28.19/4.36 % (1444882)Termination phase: Saturation
% 28.19/4.36 % (1444882)Time elapsed: 0.168 s
% 28.19/4.36 % (1444882)Peak memory usage: 15 MB
% 28.19/4.36 % (1444882)Instructions burned: 650 (million)
% 28.19/4.36 % (1444888)Instruction limit reached!
% 28.19/4.36 % (1444888)------------------------------
% 28.19/4.36 % (1444888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.36 % (1444888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.36 % (1444888)CaDiCaL version: 2.1.3
% 28.19/4.36 % (1444888)Termination reason: Instruction limit
% 28.19/4.36 % (1444888)Termination phase: Saturation
% 28.19/4.36 % (1444888)Time elapsed: 0.123 s
% 28.19/4.36 % (1444888)Peak memory usage: 13 MB
% 28.19/4.36 % (1444888)Instructions burned: 286 (million)
% 28.19/4.36 % (1444894)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=90144476:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/2240Mi)
% 28.19/4.36 % (1444895)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1029019415:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/336Mi)
% 28.19/4.36 % (1444895)Refutation not found, incomplete strategy
% 28.19/4.36 % (1444895)------------------------------
% 28.19/4.36 % (1444895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.36 % (1444895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.36 % (1444895)CaDiCaL version: 2.1.3
% 28.19/4.36 % (1444895)Termination reason: Refutation not found, incomplete strategy
% 28.19/4.36 % (1444895)Time elapsed: 0.011 s
% 28.19/4.36 % (1444895)Peak memory usage: 12 MB
% 28.19/4.36 % (1444895)Instructions burned: 23 (million)
% 28.19/4.36 % (1444895)------------------------------
% 28.19/4.36 % (1444895)------------------------------
% 28.19/4.36 % (1444898)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1531026322:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2966 on theBenchmark for (2966ds/1142Mi)
% 28.19/4.36 % (1444898)Refutation not found, incomplete strategy
% 28.19/4.36 % (1444898)------------------------------
% 28.19/4.36 % (1444898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.36 % (1444898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.36 % (1444898)CaDiCaL version: 2.1.3
% 28.19/4.36 % (1444898)Termination reason: Refutation not found, incomplete strategy
% 28.19/4.36 % (1444898)Time elapsed: 0.045 s
% 28.19/4.36 % (1444898)Peak memory usage: 13 MB
% 28.19/4.36 % (1444898)Instructions burned: 77 (million)
% 28.19/4.36 % (1444898)------------------------------
% 28.19/4.36 % (1444898)------------------------------
% 28.19/4.36 % (1444900)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=659413406:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2965 on theBenchmark for (2965ds/376Mi)
% 28.19/4.36 % (1444892)Instruction limit reached!
% 28.19/4.36 % (1444892)------------------------------
% 28.19/4.36 % (1444892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.36 % (1444892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.36 % (1444892)CaDiCaL version: 2.1.3
% 28.19/4.36 % (1444892)Termination reason: Instruction limit
% 28.19/4.36 % (1444892)Termination phase: Saturation
% 28.19/4.36 % (1444892)Time elapsed: 0.182 s
% 28.19/4.36 % (1444892)Peak memory usage: 18 MB
% 28.19/4.36 % (1444892)Instructions burned: 408 (million)
% 28.19/4.36 % (1444902)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=960847205:i=766:bd=all:rtra=on_2965 on theBenchmark for (2965ds/766Mi)
% 29.43/4.51 % (1444885)Instruction limit reached!
% 29.43/4.51 % (1444885)------------------------------
% 29.43/4.51 % (1444885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.43/4.51 % (1444885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.43/4.51 % (1444885)CaDiCaL version: 2.1.3
% 29.43/4.51 % (1444885)Termination reason: Instruction limit
% 29.43/4.51 % (1444885)Termination phase: Saturation
% 29.43/4.51 % (1444885)Time elapsed: 0.348 s
% 29.43/4.51 % (1444885)Peak memory usage: 16 MB
% 29.43/4.51 % (1444885)Instructions burned: 694 (million)
% 29.43/4.51 % (1444904)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 29.43/4.51 % (1444904)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3314030171:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2964 on theBenchmark for (2964ds/959Mi)
% 29.43/4.51 % (1444900)Instruction limit reached!
% 29.43/4.51 % (1444900)------------------------------
% 29.43/4.51 % (1444900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.43/4.51 % (1444900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.43/4.51 % (1444900)CaDiCaL version: 2.1.3
% 29.43/4.51 % (1444900)Termination reason: Instruction limit
% 29.43/4.51 % (1444900)Termination phase: Saturation
% 29.43/4.51 % (1444900)Time elapsed: 0.170 s
% 29.43/4.51 % (1444900)Peak memory usage: 18 MB
% 29.43/4.51 % (1444900)Instructions burned: 376 (million)
% 29.43/4.51 % (1444565)Instruction limit reached!
% 29.43/4.51 % (1444565)------------------------------
% 29.43/4.51 % (1444565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.43/4.51 % (1444565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.43/4.51 % (1444565)CaDiCaL version: 2.1.3
% 29.43/4.51 % (1444565)Termination reason: Instruction limit
% 29.43/4.51 % (1444565)Termination phase: Saturation
% 29.43/4.51 % (1444565)Time elapsed: 2.818 s
% 29.43/4.51 % (1444565)Peak memory usage: 35 MB
% 29.43/4.51 % (1444565)Instructions burned: 5755 (million)
% 29.43/4.51 % (1444906)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=417684614:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2963 on theBenchmark for (2963ds/6359Mi)
% 29.43/4.51 % (1444907)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=645773644:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2963 on theBenchmark for (2963ds/35Mi)
% 29.43/4.51 % (1444907)Instruction limit reached!
% 29.43/4.51 % (1444907)------------------------------
% 29.43/4.51 % (1444907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.43/4.51 % (1444907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.43/4.51 % (1444907)CaDiCaL version: 2.1.3
% 29.43/4.51 % (1444907)Termination reason: Instruction limit
% 29.43/4.51 % (1444907)Termination phase: Saturation
% 29.43/4.51 % (1444907)Time elapsed: 0.015 s
% 29.43/4.51 % (1444907)Peak memory usage: 12 MB
% 29.43/4.51 % (1444907)Instructions burned: 36 (million)
% 29.43/4.51 % (1444910)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2252843050:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2963 on theBenchmark for (2963ds/53Mi)
% 29.43/4.51 % (1444910)Instruction limit reached!
% 29.43/4.51 % (1444910)------------------------------
% 29.43/4.51 % (1444910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.43/4.51 % (1444910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.43/4.51 % (1444910)CaDiCaL version: 2.1.3
% 29.43/4.51 % (1444910)Termination reason: Instruction limit
% 29.43/4.51 % (1444910)Termination phase: Saturation
% 29.43/4.51 % (1444910)Time elapsed: 0.024 s
% 29.43/4.51 % (1444910)Peak memory usage: 13 MB
% 29.43/4.51 % (1444910)Instructions burned: 53 (million)
% 29.43/4.51 % (1444912)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=842486913:s2a=on:i=876:s2at=6:nm=2:rtra=on_2962 on theBenchmark for (2962ds/876Mi)
% 29.43/4.51 % (1444902)Instruction limit reached!
% 29.43/4.51 % (1444902)------------------------------
% 29.43/4.51 % (1444902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.16/4.67 % (1444902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/4.67 % (1444902)CaDiCaL version: 2.1.3
% 30.16/4.67 % (1444902)Termination reason: Instruction limit
% 30.16/4.67 % (1444902)Termination phase: Saturation
% 30.16/4.67 % (1444902)Time elapsed: 0.359 s
% 30.16/4.67 % (1444902)Peak memory usage: 20 MB
% 30.16/4.67 % (1444902)Instructions burned: 767 (million)
% 30.16/4.67 % (1444914)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2368878677:i=57:ep=R:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/57Mi)
% 30.16/4.67 % (1444914)Instruction limit reached!
% 30.16/4.67 % (1444914)------------------------------
% 30.16/4.67 % (1444914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.16/4.67 % (1444914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/4.67 % (1444914)CaDiCaL version: 2.1.3
% 30.16/4.67 % (1444914)Termination reason: Instruction limit
% 30.16/4.67 % (1444914)Termination phase: Saturation
% 30.16/4.67 % (1444914)Time elapsed: 0.026 s
% 30.16/4.67 % (1444914)Peak memory usage: 12 MB
% 30.16/4.67 % (1444914)Instructions burned: 59 (million)
% 30.16/4.67 % (1444916)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 30.16/4.67 % (1444916)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1417994296:i=306:bd=all:rtra=on_2961 on theBenchmark for (2961ds/306Mi)
% 30.16/4.67 % (1444894)Instruction limit reached!
% 30.16/4.67 % (1444894)------------------------------
% 30.16/4.67 % (1444894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.16/4.67 % (1444894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/4.67 % (1444894)CaDiCaL version: 2.1.3
% 30.16/4.67 % (1444894)Termination reason: Instruction limit
% 30.16/4.67 % (1444894)Termination phase: Saturation
% 30.16/4.67 % (1444894)Time elapsed: 0.587 s
% 30.16/4.67 % (1444894)Peak memory usage: 24 MB
% 30.16/4.67 % (1444894)Instructions burned: 2244 (million)
% 30.16/4.67 % (1444918)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=471154746:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/262Mi)
% 30.16/4.67 % (1444904)Instruction limit reached!
% 30.16/4.67 % (1444904)------------------------------
% 30.16/4.67 % (1444904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.16/4.67 % (1444904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/4.67 % (1444904)CaDiCaL version: 2.1.3
% 30.16/4.67 % (1444904)Termination reason: Instruction limit
% 30.16/4.67 % (1444904)Termination phase: Saturation
% 30.16/4.67 % (1444904)Time elapsed: 0.423 s
% 30.16/4.67 % (1444904)Peak memory usage: 20 MB
% 30.16/4.67 % (1444904)Instructions burned: 959 (million)
% 30.16/4.67 % (1444916)Instruction limit reached!
% 30.16/4.67 % (1444916)------------------------------
% 30.16/4.67 % (1444916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.16/4.67 % (1444916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/4.67 % (1444916)CaDiCaL version: 2.1.3
% 30.16/4.67 % (1444916)Termination reason: Instruction limit
% 30.16/4.67 % (1444916)Termination phase: Saturation
% 30.16/4.67 % (1444916)Time elapsed: 0.085 s
% 30.16/4.67 % (1444916)Peak memory usage: 16 MB
% 30.16/4.67 % (1444916)Instructions burned: 308 (million)
% 30.16/4.67 % (1444921)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3786855520:s2a=on:i=381:rtra=on_2960 on theBenchmark for (2960ds/381Mi)
% 30.16/4.67 % (1444920)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 30.16/4.67 % (1444920)ott+1002_16_sil=128000:si=on:random_seed=1652918108:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/409Mi)
% 30.16/4.67 % (1444918)Instruction limit reached!
% 30.16/4.67 % (1444918)------------------------------
% 30.16/4.67 % (1444918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.16/4.67 % (1444918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/4.67 % (1444918)CaDiCaL version: 2.1.3
% 30.16/4.67 % (1444918)Termination reason: Instruction limit
% 30.16/4.67 % (1444918)Termination phase: Saturation
% 30.16/4.67 % (1444918)Time elapsed: 0.116 s
% 30.16/4.67 % (1444918)Peak memory usage: 16 MB
% 30.16/4.67 % (1444918)Instructions burned: 263 (million)
% 30.16/4.67 % (1444924)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3595666529:cond=on:i=324:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/324Mi)
% 30.83/4.77 % (1444921)Instruction limit reached!
% 30.83/4.77 % (1444921)------------------------------
% 30.83/4.77 % (1444921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.77 % (1444921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.77 % (1444921)CaDiCaL version: 2.1.3
% 30.83/4.77 % (1444921)Termination reason: Instruction limit
% 30.83/4.77 % (1444921)Termination phase: Saturation
% 30.83/4.77 % (1444921)Time elapsed: 0.092 s
% 30.83/4.77 % (1444921)Peak memory usage: 18 MB
% 30.83/4.77 % (1444921)Instructions burned: 383 (million)
% 30.83/4.77 % (1444926)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1247969907:i=240:kws=inv_precedence:rtra=on_2959 on theBenchmark for (2959ds/240Mi)
% 30.83/4.77 % (1444926)Refutation not found, incomplete strategy
% 30.83/4.77 % (1444926)------------------------------
% 30.83/4.77 % (1444926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.77 % (1444926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.77 % (1444926)CaDiCaL version: 2.1.3
% 30.83/4.77 % (1444926)Termination reason: Refutation not found, incomplete strategy
% 30.83/4.77 % (1444926)Time elapsed: 0.004 s
% 30.83/4.77 % (1444926)Peak memory usage: 12 MB
% 30.83/4.77 % (1444926)Instructions burned: 15 (million)
% 30.83/4.77 % (1444926)------------------------------
% 30.83/4.77 % (1444926)------------------------------
% 30.83/4.77 % (1444928)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 30.83/4.77 % (1444928)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3286055065:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/124Mi)
% 30.83/4.77 % (1444912)Instruction limit reached!
% 30.83/4.77 % (1444912)------------------------------
% 30.83/4.77 % (1444912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.77 % (1444912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.77 % (1444912)CaDiCaL version: 2.1.3
% 30.83/4.77 % (1444912)Termination reason: Instruction limit
% 30.83/4.77 % (1444912)Termination phase: Saturation
% 30.83/4.77 % (1444912)Time elapsed: 0.412 s
% 30.83/4.77 % (1444912)Peak memory usage: 15 MB
% 30.83/4.77 % (1444912)Instructions burned: 877 (million)
% 30.83/4.77 % (1444928)Instruction limit reached!
% 30.83/4.77 % (1444928)------------------------------
% 30.83/4.77 % (1444928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.77 % (1444928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.77 % (1444928)CaDiCaL version: 2.1.3
% 30.83/4.77 % (1444928)Termination reason: Instruction limit
% 30.83/4.77 % (1444928)Termination phase: Saturation
% 30.83/4.77 % (1444928)Time elapsed: 0.030 s
% 30.83/4.77 % (1444928)Peak memory usage: 13 MB
% 30.83/4.77 % (1444928)Instructions burned: 129 (million)
% 30.83/4.77 % (1444931)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=627633122:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2958 on theBenchmark for (2958ds/282Mi)
% 30.83/4.77 % (1444930)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1263306707:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2958 on theBenchmark for (2958ds/223Mi)
% 30.83/4.77 % (1444920)Instruction limit reached!
% 30.83/4.77 % (1444920)------------------------------
% 30.83/4.77 % (1444920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.77 % (1444920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.77 % (1444920)CaDiCaL version: 2.1.3
% 30.83/4.77 % (1444920)Termination reason: Instruction limit
% 30.83/4.77 % (1444920)Termination phase: Saturation
% 30.83/4.77 % (1444920)Time elapsed: 0.180 s
% 30.83/4.77 % (1444920)Peak memory usage: 17 MB
% 30.83/4.77 % (1444920)Instructions burned: 409 (million)
% 30.83/4.77 % (1444934)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1912836648:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/464Mi)
% 30.83/4.77 % (1444931)Instruction limit reached!
% 30.83/4.77 % (1444931)------------------------------
% 30.83/4.77 % (1444931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.77 % (1444931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.22 % (1444931)CaDiCaL version: 2.1.3
% 34.53/5.22 % (1444931)Termination reason: Instruction limit
% 34.53/5.22 % (1444931)Termination phase: Saturation
% 34.53/5.22 % (1444931)Time elapsed: 0.077 s
% 34.53/5.22 % (1444931)Peak memory usage: 14 MB
% 34.53/5.22 % (1444931)Instructions burned: 284 (million)
% 34.53/5.22 % (1444936)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=1351429718:i=88:s2at=3:nm=2:rtra=on:rawr=on_2957 on theBenchmark for (2957ds/88Mi)
% 34.53/5.22 % (1444924)Instruction limit reached!
% 34.53/5.22 % (1444924)------------------------------
% 34.53/5.22 % (1444924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.22 % (1444924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.22 % (1444924)CaDiCaL version: 2.1.3
% 34.53/5.22 % (1444924)Termination reason: Instruction limit
% 34.53/5.22 % (1444924)Termination phase: Saturation
% 34.53/5.22 % (1444924)Time elapsed: 0.168 s
% 34.53/5.22 % (1444924)Peak memory usage: 14 MB
% 34.53/5.22 % (1444924)Instructions burned: 326 (million)
% 34.53/5.22 % (1444930)Instruction limit reached!
% 34.53/5.22 % (1444930)------------------------------
% 34.53/5.22 % (1444930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.22 % (1444930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.22 % (1444930)CaDiCaL version: 2.1.3
% 34.53/5.22 % (1444930)Termination reason: Instruction limit
% 34.53/5.22 % (1444930)Termination phase: Saturation
% 34.53/5.22 % (1444930)Time elapsed: 0.093 s
% 34.53/5.22 % (1444930)Peak memory usage: 13 MB
% 34.53/5.22 % (1444930)Instructions burned: 225 (million)
% 34.53/5.22 % (1444936)Instruction limit reached!
% 34.53/5.22 % (1444936)------------------------------
% 34.53/5.22 % (1444936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.22 % (1444936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.22 % (1444936)CaDiCaL version: 2.1.3
% 34.53/5.22 % (1444936)Termination reason: Instruction limit
% 34.53/5.22 % (1444936)Termination phase: Saturation
% 34.53/5.22 % (1444936)Time elapsed: 0.019 s
% 34.53/5.22 % (1444936)Peak memory usage: 13 MB
% 34.53/5.22 % (1444936)Instructions burned: 88 (million)
% 34.53/5.22 % (1444939)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 34.53/5.22 % (1444940)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 34.53/5.22 % (1444940)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 34.53/5.22 % (1444938)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=216752616:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2957 on theBenchmark for (2957ds/280Mi)
% 34.53/5.22 % (1444939)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=322450404:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/4386Mi)
% 34.53/5.22 % (1444940)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=3216879278:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2957 on theBenchmark for (2957ds/483Mi)
% 34.53/5.22 % (1444938)Instruction limit reached!
% 34.53/5.22 % (1444938)------------------------------
% 34.53/5.22 % (1444938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.22 % (1444938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.22 % (1444938)CaDiCaL version: 2.1.3
% 34.53/5.22 % (1444938)Termination reason: Instruction limit
% 34.53/5.22 % (1444938)Termination phase: Saturation
% 34.53/5.22 % (1444938)Time elapsed: 0.115 s
% 34.53/5.22 % (1444938)Peak memory usage: 12 MB
% 34.53/5.22 % (1444938)Instructions burned: 280 (million)
% 34.53/5.22 % (1444934)Instruction limit reached!
% 34.53/5.22 % (1444934)------------------------------
% 34.53/5.22 % (1444934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.22 % (1444934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.22 % (1444934)CaDiCaL version: 2.1.3
% 34.53/5.22 % (1444934)Termination reason: Instruction limit
% 34.53/5.22 % (1444934)Termination phase: Saturation
% 34.53/5.22 % (1444934)Time elapsed: 0.193 s
% 34.53/5.22 % (1444934)Peak memory usage: 13 MB
% 36.65/5.55 % (1444934)Instructions burned: 466 (million)
% 36.65/5.55 % (1444944)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=805347986:i=73:rtra=on_2956 on theBenchmark for (2956ds/73Mi)
% 36.65/5.55 % (1444945)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1643566117:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2956 on theBenchmark for (2956ds/176Mi)
% 36.65/5.55 % (1444940)Instruction limit reached!
% 36.65/5.55 % (1444940)------------------------------
% 36.65/5.55 % (1444940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.65/5.55 % (1444940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.65/5.55 % (1444940)CaDiCaL version: 2.1.3
% 36.65/5.55 % (1444940)Termination reason: Instruction limit
% 36.65/5.55 % (1444940)Termination phase: Saturation
% 36.65/5.55 % (1444940)Time elapsed: 0.158 s
% 36.65/5.55 % (1444940)Peak memory usage: 16 MB
% 36.65/5.55 % (1444940)Instructions burned: 484 (million)
% 36.65/5.55 % (1444944)Instruction limit reached!
% 36.65/5.55 % (1444944)------------------------------
% 36.65/5.55 % (1444944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.65/5.55 % (1444944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.65/5.55 % (1444944)CaDiCaL version: 2.1.3
% 36.65/5.55 % (1444944)Termination reason: Instruction limit
% 36.65/5.55 % (1444944)Termination phase: Saturation
% 36.65/5.55 % (1444944)Time elapsed: 0.032 s
% 36.65/5.55 % (1444944)Peak memory usage: 13 MB
% 36.65/5.55 % (1444944)Instructions burned: 75 (million)
% 36.65/5.55 % (1444948)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 36.65/5.55 % (1444948)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3516190124:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2955 on theBenchmark for (2955ds/39Mi)
% 36.65/5.55 % (1444948)Instruction limit reached!
% 36.65/5.55 % (1444948)------------------------------
% 36.65/5.55 % (1444948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.65/5.55 % (1444948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.65/5.55 % (1444948)CaDiCaL version: 2.1.3
% 36.65/5.55 % (1444948)Termination reason: Instruction limit
% 36.65/5.55 % (1444948)Termination phase: Saturation
% 36.65/5.55 % (1444948)Time elapsed: 0.010 s
% 36.65/5.55 % (1444948)Peak memory usage: 12 MB
% 36.65/5.55 % (1444948)Instructions burned: 42 (million)
% 36.65/5.55 % (1444949)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=291755732:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2955 on theBenchmark for (2955ds/708Mi)
% 36.65/5.55 % (1444951)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 36.65/5.55 % (1444951)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1017259877:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/252Mi)
% 36.65/5.55 % (1444951)Refutation not found, incomplete strategy
% 36.65/5.55 % (1444951)------------------------------
% 36.65/5.55 % (1444951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.65/5.55 % (1444951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.65/5.55 % (1444951)CaDiCaL version: 2.1.3
% 36.65/5.55 % (1444951)Termination reason: Refutation not found, incomplete strategy
% 36.65/5.55 % (1444951)Time elapsed: 0.008 s
% 36.65/5.55 % (1444951)Peak memory usage: 12 MB
% 36.65/5.55 % (1444951)Instructions burned: 38 (million)
% 36.65/5.55 % (1444951)------------------------------
% 36.65/5.55 % (1444951)------------------------------
% 36.65/5.55 % (1444954)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2572522517:i=823:fsr=off:rtra=on_2955 on theBenchmark for (2955ds/823Mi)
% 36.65/5.55 % (1444945)Instruction limit reached!
% 36.65/5.55 % (1444945)------------------------------
% 36.65/5.55 % (1444945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.65/5.55 % (1444945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.65/5.55 % (1444945)CaDiCaL version: 2.1.3
% 36.65/5.55 % (1444945)Termination reason: Instruction limit
% 39.18/5.96 % (1444945)Termination phase: Saturation
% 39.18/5.96 % (1444945)Time elapsed: 0.080 s
% 39.18/5.96 % (1444945)Peak memory usage: 13 MB
% 39.18/5.96 % (1444945)Instructions burned: 177 (million)
% 39.18/5.96 % (1444956)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 39.18/5.96 % (1444956)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2418583252:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/16202Mi)
% 39.18/5.96 % (1444954)Instruction limit reached!
% 39.18/5.96 % (1444954)------------------------------
% 39.18/5.96 % (1444954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.18/5.96 % (1444954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.18/5.96 % (1444954)CaDiCaL version: 2.1.3
% 39.18/5.96 % (1444954)Termination reason: Instruction limit
% 39.18/5.96 % (1444954)Termination phase: Saturation
% 39.18/5.96 % (1444954)Time elapsed: 0.200 s
% 39.18/5.96 % (1444954)Peak memory usage: 15 MB
% 39.18/5.96 % (1444954)Instructions burned: 826 (million)
% 39.18/5.96 % (1444958)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1585993935:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2953 on theBenchmark for (2953ds/300Mi)
% 39.18/5.96 % (1444949)Instruction limit reached!
% 39.18/5.96 % (1444949)------------------------------
% 39.18/5.96 % (1444949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.18/5.96 % (1444949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.18/5.96 % (1444949)CaDiCaL version: 2.1.3
% 39.18/5.96 % (1444949)Termination reason: Instruction limit
% 39.18/5.96 % (1444949)Termination phase: Saturation
% 39.18/5.96 % (1444949)Time elapsed: 0.305 s
% 39.18/5.96 % (1444949)Peak memory usage: 21 MB
% 39.18/5.96 % (1444949)Instructions burned: 709 (million)
% 39.18/5.96 % (1444958)Instruction limit reached!
% 39.18/5.96 % (1444958)------------------------------
% 39.18/5.96 % (1444958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.18/5.96 % (1444958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.18/5.96 % (1444958)CaDiCaL version: 2.1.3
% 39.18/5.96 % (1444958)Termination reason: Instruction limit
% 39.18/5.96 % (1444958)Termination phase: Saturation
% 39.18/5.96 % (1444958)Time elapsed: 0.074 s
% 39.18/5.96 % (1444958)Peak memory usage: 13 MB
% 39.18/5.96 % (1444958)Instructions burned: 304 (million)
% 39.18/5.96 % (1444960)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 39.18/5.96 % (1444961)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1181218686:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2952 on theBenchmark for (2952ds/715Mi)
% 39.18/5.96 % (1444960)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 39.18/5.96 % (1444960)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3314250382:i=177:add=on:bd=preordered:rtra=on:rawr=on_2952 on theBenchmark for (2952ds/177Mi)
% 39.18/5.96 % (1444960)Instruction limit reached!
% 39.18/5.96 % (1444960)------------------------------
% 39.18/5.96 % (1444960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.18/5.96 % (1444960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.18/5.96 % (1444960)CaDiCaL version: 2.1.3
% 39.18/5.96 % (1444960)Termination reason: Instruction limit
% 39.18/5.96 % (1444960)Termination phase: Saturation
% 39.18/5.96 % (1444960)Time elapsed: 0.077 s
% 39.18/5.96 % (1444960)Peak memory usage: 15 MB
% 39.18/5.96 % (1444960)Instructions burned: 179 (million)
% 39.18/5.96 % (1444964)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 39.18/5.96 % (1444964)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 39.18/5.96 % (1444964)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=4055606139:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2951 on theBenchmark for (2951ds/230Mi)
% 39.18/5.96 % (1444964)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 39.18/5.96 % (1444961)Instruction limit reached!
% 39.18/5.96 % (1444961)------------------------------
% 42.52/6.36 % (1444961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/6.36 % (1444961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/6.36 % (1444961)CaDiCaL version: 2.1.3
% 42.52/6.36 % (1444961)Termination reason: Instruction limit
% 42.52/6.36 % (1444961)Termination phase: Saturation
% 42.52/6.36 % (1444961)Time elapsed: 0.156 s
% 42.52/6.36 % (1444961)Peak memory usage: 13 MB
% 42.52/6.36 % (1444961)Instructions burned: 720 (million)
% 42.52/6.36 % (1444966)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3712702086:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2950 on theBenchmark for (2950ds/606Mi)
% 42.52/6.36 % (1444964)Instruction limit reached!
% 42.52/6.36 % (1444964)------------------------------
% 42.52/6.36 % (1444964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/6.36 % (1444964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/6.36 % (1444964)CaDiCaL version: 2.1.3
% 42.52/6.36 % (1444964)Termination reason: Instruction limit
% 42.52/6.36 % (1444964)Termination phase: Saturation
% 42.52/6.36 % (1444964)Time elapsed: 0.106 s
% 42.52/6.36 % (1444964)Peak memory usage: 13 MB
% 42.52/6.36 % (1444964)Instructions burned: 231 (million)
% 42.52/6.36 % (1444968)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 42.52/6.36 % (1444968)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=425102436:lrd=on:i=841:nm=0:rtra=on_2950 on theBenchmark for (2950ds/841Mi)
% 42.52/6.36 % (1444966)Instruction limit reached!
% 42.52/6.36 % (1444966)------------------------------
% 42.52/6.36 % (1444966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/6.36 % (1444966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/6.36 % (1444966)CaDiCaL version: 2.1.3
% 42.52/6.36 % (1444966)Termination reason: Instruction limit
% 42.52/6.36 % (1444966)Termination phase: Saturation
% 42.52/6.36 % (1444966)Time elapsed: 0.145 s
% 42.52/6.36 % (1444966)Peak memory usage: 19 MB
% 42.52/6.36 % (1444966)Instructions burned: 609 (million)
% 42.52/6.36 % (1444970)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2214408895:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2949 on theBenchmark for (2949ds/445Mi)
% 42.52/6.36 % (1444970)Instruction limit reached!
% 42.52/6.36 % (1444970)------------------------------
% 42.52/6.36 % (1444970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/6.36 % (1444970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/6.36 % (1444970)CaDiCaL version: 2.1.3
% 42.52/6.36 % (1444970)Termination reason: Instruction limit
% 42.52/6.36 % (1444970)Termination phase: Saturation
% 42.52/6.36 % (1444970)Time elapsed: 0.100 s
% 42.52/6.36 % (1444970)Peak memory usage: 16 MB
% 42.52/6.36 % (1444970)Instructions burned: 449 (million)
% 42.52/6.36 % (1444972)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=868872413:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2947 on theBenchmark for (2947ds/71Mi)
% 42.52/6.36 % (1444972)Instruction limit reached!
% 42.52/6.36 % (1444972)------------------------------
% 42.52/6.36 % (1444972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/6.36 % (1444972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/6.36 % (1444972)CaDiCaL version: 2.1.3
% 42.52/6.36 % (1444972)Termination reason: Instruction limit
% 42.52/6.36 % (1444972)Termination phase: Saturation
% 42.52/6.36 % (1444972)Time elapsed: 0.018 s
% 42.52/6.36 % (1444972)Peak memory usage: 12 MB
% 42.52/6.36 % (1444972)Instructions burned: 73 (million)
% 42.52/6.36 % (1444974)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
% 42.52/6.36 % (1444974)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 42.52/6.36 % (1444974)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=501209964:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2947 on theBenchmark for (2947ds/100Mi)
% 42.52/6.36 % (1444974)Instruction limit reached!
% 42.52/6.36 % (1444974)------------------------------
% 43.70/6.67 % (1444974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.67 % (1444974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.67 % (1444974)CaDiCaL version: 2.1.3
% 43.70/6.67 % (1444974)Termination reason: Instruction limit
% 43.70/6.67 % (1444974)Termination phase: Saturation
% 43.70/6.67 % (1444974)Time elapsed: 0.022 s
% 43.70/6.67 % (1444974)Peak memory usage: 12 MB
% 43.70/6.67 % (1444974)Instructions burned: 103 (million)
% 43.70/6.67 % (1444976)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 43.70/6.67 % (1444976)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=289724821:i=1352:add=on:aac=none:rtra=on_2947 on theBenchmark for (2947ds/1352Mi)
% 43.70/6.67 % (1444968)Instruction limit reached!
% 43.70/6.67 % (1444968)------------------------------
% 43.70/6.67 % (1444968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.67 % (1444968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.67 % (1444968)CaDiCaL version: 2.1.3
% 43.70/6.67 % (1444968)Termination reason: Instruction limit
% 43.70/6.67 % (1444968)Termination phase: Saturation
% 43.70/6.67 % (1444968)Time elapsed: 0.352 s
% 43.70/6.67 % (1444968)Peak memory usage: 20 MB
% 43.70/6.67 % (1444968)Instructions burned: 842 (million)
% 43.70/6.67 % (1444978)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=2438685647:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2946 on theBenchmark for (2946ds/646Mi)
% 43.70/6.67 % (1444865)Instruction limit reached!
% 43.70/6.67 % (1444865)------------------------------
% 43.70/6.67 % (1444865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.67 % (1444865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.67 % (1444865)CaDiCaL version: 2.1.3
% 43.70/6.67 % (1444865)Termination reason: Instruction limit
% 43.70/6.67 % (1444865)Termination phase: Saturation
% 43.70/6.67 % (1444865)Time elapsed: 2.531 s
% 43.70/6.67 % (1444865)Peak memory usage: 40 MB
% 43.70/6.67 % (1444865)Instructions burned: 4980 (million)
% 43.70/6.67 % (1444980)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1498606525:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2946 on theBenchmark for (2946ds/1924Mi)
% 43.70/6.67 % (1444603)Instruction limit reached!
% 43.70/6.67 % (1444603)------------------------------
% 43.70/6.67 % (1444603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.67 % (1444603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.67 % (1444603)CaDiCaL version: 2.1.3
% 43.70/6.67 % (1444603)Termination reason: Instruction limit
% 43.70/6.67 % (1444603)Termination phase: Saturation
% 43.70/6.67 % (1444603)Time elapsed: 4.439 s
% 43.70/6.67 % (1444603)Peak memory usage: 38 MB
% 43.70/6.67 % (1444603)Instructions burned: 9840 (million)
% 43.70/6.67 % (1444982)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3368363477:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2944 on theBenchmark for (2944ds/984Mi)
% 43.70/6.67 % (1444976)Instruction limit reached!
% 43.70/6.67 % (1444976)------------------------------
% 43.70/6.67 % (1444976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.67 % (1444976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.67 % (1444976)CaDiCaL version: 2.1.3
% 43.70/6.67 % (1444976)Termination reason: Instruction limit
% 43.70/6.67 % (1444976)Termination phase: Saturation
% 43.70/6.67 % (1444976)Time elapsed: 0.331 s
% 43.70/6.67 % (1444976)Peak memory usage: 17 MB
% 43.70/6.67 % (1444976)Instructions burned: 1354 (million)
% 43.70/6.67 % (1444984)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=932870276:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2943 on theBenchmark for (2943ds/592Mi)
% 43.70/6.67 % (1444978)Instruction limit reached!
% 43.70/6.67 % (1444978)------------------------------
% 43.70/6.67 % (1444978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.67 % (1444978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.67 % (1444978)CaDiCaL version: 2.1.3
% 43.70/6.67 % (1444978)Termination reason: Instruction limit
% 45.08/6.98 % (1444978)Termination phase: Saturation
% 45.08/6.98 % (1444978)Time elapsed: 0.301 s
% 45.08/6.98 % (1444978)Peak memory usage: 20 MB
% 45.08/6.98 % (1444978)Instructions burned: 647 (million)
% 45.08/6.98 % (1444986)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2421840888:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2943 on theBenchmark for (2943ds/872Mi)
% 45.08/6.98 % (1444984)Instruction limit reached!
% 45.08/6.98 % (1444984)------------------------------
% 45.08/6.98 % (1444984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.08/6.98 % (1444984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.08/6.98 % (1444984)CaDiCaL version: 2.1.3
% 45.08/6.98 % (1444984)Termination reason: Instruction limit
% 45.08/6.98 % (1444984)Termination phase: Saturation
% 45.08/6.98 % (1444984)Time elapsed: 0.151 s
% 45.08/6.98 % (1444984)Peak memory usage: 14 MB
% 45.08/6.98 % (1444984)Instructions burned: 594 (million)
% 45.08/6.98 % (1444988)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 45.08/6.98 % (1444988)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=4274763849:i=999:add=on:rtra=on_2942 on theBenchmark for (2942ds/999Mi)
% 45.08/6.98 % (1444988)Instruction limit reached!
% 45.08/6.98 % (1444988)------------------------------
% 45.08/6.98 % (1444988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.08/6.98 % (1444988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.08/6.98 % (1444988)CaDiCaL version: 2.1.3
% 45.08/6.98 % (1444988)Termination reason: Instruction limit
% 45.08/6.98 % (1444988)Termination phase: Saturation
% 45.08/6.98 % (1444988)Time elapsed: 0.205 s
% 45.08/6.98 % (1444988)Peak memory usage: 14 MB
% 45.08/6.98 % (1444988)Instructions burned: 1001 (million)
% 45.08/6.98 % (1444990)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 45.08/6.98 % (1444990)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1288025376:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2940 on theBenchmark for (2940ds/244Mi)
% 45.08/6.98 % (1444982)Instruction limit reached!
% 45.08/6.98 % (1444982)------------------------------
% 45.08/6.98 % (1444982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.08/6.98 % (1444982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.08/6.98 % (1444982)CaDiCaL version: 2.1.3
% 45.08/6.98 % (1444982)Termination reason: Instruction limit
% 45.08/6.98 % (1444982)Termination phase: Saturation
% 45.08/6.98 % (1444982)Time elapsed: 0.454 s
% 45.08/6.98 % (1444982)Peak memory usage: 20 MB
% 45.08/6.98 % (1444982)Instructions burned: 984 (million)
% 45.08/6.98 % (1444992)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3822804710:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2939 on theBenchmark for (2939ds/113Mi)
% 45.08/6.98 % (1444990)Instruction limit reached!
% 45.08/6.98 % (1444990)------------------------------
% 45.08/6.98 % (1444990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.08/6.98 % (1444990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.08/6.98 % (1444990)CaDiCaL version: 2.1.3
% 45.08/6.98 % (1444990)Termination reason: Instruction limit
% 45.08/6.98 % (1444990)Termination phase: Saturation
% 45.08/6.98 % (1444990)Time elapsed: 0.053 s
% 45.08/6.98 % (1444990)Peak memory usage: 12 MB
% 45.08/6.98 % (1444990)Instructions burned: 247 (million)
% 45.08/6.98 % (1444939)Instruction limit reached!
% 45.08/6.98 % (1444939)------------------------------
% 45.08/6.98 % (1444939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.08/6.98 % (1444939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.08/6.98 % (1444939)CaDiCaL version: 2.1.3
% 45.08/6.98 % (1444939)Termination reason: Instruction limit
% 45.08/6.98 % (1444939)Termination phase: Saturation
% 45.08/6.98 % (1444939)Time elapsed: 1.793 s
% 45.08/6.98 % (1444939)Peak memory usage: 16 MB
% 45.08/6.98 % (1444939)Instructions burned: 4386 (million)
% 45.08/6.98 % (1444994)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1079588366:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2939 on theBenchmark for (2939ds/7795Mi)
% 45.08/6.98 % (1444995)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3972561870:st=2:i=5026:sd=1:rtra=on:ss=axioms_2939 on theBenchmark for (2939ds/5026Mi)
% 50.74/7.51 % (1444992)Instruction limit reached!
% 50.74/7.51 % (1444992)------------------------------
% 50.74/7.51 % (1444992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.74/7.51 % (1444992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.74/7.51 % (1444992)CaDiCaL version: 2.1.3
% 50.74/7.51 % (1444992)Termination reason: Instruction limit
% 50.74/7.51 % (1444992)Termination phase: Saturation
% 50.74/7.51 % (1444992)Time elapsed: 0.049 s
% 50.74/7.51 % (1444992)Peak memory usage: 13 MB
% 50.74/7.51 % (1444992)Instructions burned: 114 (million)
% 50.74/7.51 % (1444995)Refutation not found, incomplete strategy
% 50.74/7.51 % (1444995)------------------------------
% 50.74/7.51 % (1444995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.74/7.51 % (1444995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.74/7.51 % (1444995)CaDiCaL version: 2.1.3
% 50.74/7.51 % (1444995)Termination reason: Refutation not found, incomplete strategy
% 50.74/7.51 % (1444995)Time elapsed: 0.012 s
% 50.74/7.51 % (1444995)Peak memory usage: 13 MB
% 50.74/7.51 % (1444995)Instructions burned: 24 (million)
% 50.74/7.51 % (1444995)------------------------------
% 50.74/7.51 % (1444995)------------------------------
% 50.74/7.51 % (1444998)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 50.74/7.51 % (1444998)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1553829695:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2939 on theBenchmark for (2939ds/763Mi)
% 50.74/7.51 % (1444999)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3078661959:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2939 on theBenchmark for (2939ds/1144Mi)
% 50.74/7.51 % (1444986)Instruction limit reached!
% 50.74/7.51 % (1444986)------------------------------
% 50.74/7.51 % (1444986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.74/7.51 % (1444986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.74/7.51 % (1444986)CaDiCaL version: 2.1.3
% 50.74/7.51 % (1444986)Termination reason: Instruction limit
% 50.74/7.51 % (1444986)Termination phase: Saturation
% 50.74/7.51 % (1444986)Time elapsed: 0.427 s
% 50.74/7.51 % (1444986)Peak memory usage: 21 MB
% 50.74/7.51 % (1444986)Instructions burned: 872 (million)
% 50.74/7.51 % (1445002)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 50.74/7.51 % (1445002)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=2608798619:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2938 on theBenchmark for (2938ds/52Mi)
% 50.74/7.51 % (1444980)Instruction limit reached!
% 50.74/7.51 % (1444980)------------------------------
% 50.74/7.51 % (1444980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.74/7.51 % (1444980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.74/7.51 % (1444980)CaDiCaL version: 2.1.3
% 50.74/7.51 % (1444980)Termination reason: Instruction limit
% 50.74/7.51 % (1444980)Termination phase: Saturation
% 50.74/7.51 % (1444980)Time elapsed: 0.746 s
% 50.74/7.51 % (1444980)Peak memory usage: 21 MB
% 50.74/7.51 % (1444980)Instructions burned: 1924 (million)
% 50.74/7.51 % (1445002)Instruction limit reached!
% 50.74/7.51 % (1445002)------------------------------
% 50.74/7.51 % (1445002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.74/7.51 % (1445002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.74/7.51 % (1445002)CaDiCaL version: 2.1.3
% 50.74/7.51 % (1445002)Termination reason: Instruction limit
% 50.74/7.51 % (1445002)Termination phase: Saturation
% 50.74/7.51 % (1445002)Time elapsed: 0.022 s
% 50.74/7.51 % (1445002)Peak memory usage: 12 MB
% 50.74/7.51 % (1445002)Instructions burned: 53 (million)
% 50.74/7.51 % (1445004)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=268056948:i=1724:fsr=off:rtra=on:fe=abstraction_2938 on theBenchmark for (2938ds/1724Mi)
% 50.74/7.51 % (1445005)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=3238496627:i=439:add=on:slsql=off:rtra=on:ntd=on_2938 on theBenchmark for (2938ds/439Mi)
% 50.74/7.51 % (1445005)Instruction limit reached!
% 54.83/8.07 % (1445005)------------------------------
% 54.83/8.07 % (1445005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.83/8.07 % (1445005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/8.07 % (1445005)CaDiCaL version: 2.1.3
% 54.83/8.07 % (1445005)Termination reason: Instruction limit
% 54.83/8.07 % (1445005)Termination phase: Saturation
% 54.83/8.07 % (1445005)Time elapsed: 0.193 s
% 54.83/8.07 % (1445005)Peak memory usage: 19 MB
% 54.83/8.07 % (1445005)Instructions burned: 441 (million)
% 54.83/8.07 % (1445008)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=87967715:i=6395:sd=1:rtra=on:ss=axioms_2936 on theBenchmark for (2936ds/6395Mi)
% 54.83/8.07 % (1445008)Refutation not found, incomplete strategy
% 54.83/8.07 % (1445008)------------------------------
% 54.83/8.07 % (1445008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.83/8.07 % (1445008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/8.07 % (1445008)CaDiCaL version: 2.1.3
% 54.83/8.07 % (1445008)Termination reason: Refutation not found, incomplete strategy
% 54.83/8.07 % (1445008)Time elapsed: 0.011 s
% 54.83/8.07 % (1445008)Peak memory usage: 13 MB
% 54.83/8.07 % (1445008)Instructions burned: 24 (million)
% 54.83/8.07 % (1445008)------------------------------
% 54.83/8.07 % (1445008)------------------------------
% 54.83/8.07 % (1444998)Instruction limit reached!
% 54.83/8.07 % (1444998)------------------------------
% 54.83/8.07 % (1444998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.83/8.07 % (1444998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/8.07 % (1444998)CaDiCaL version: 2.1.3
% 54.83/8.07 % (1444998)Termination reason: Instruction limit
% 54.83/8.07 % (1444998)Termination phase: Saturation
% 54.83/8.07 % (1444998)Time elapsed: 0.323 s
% 54.83/8.07 % (1444998)Peak memory usage: 13 MB
% 54.83/8.07 % (1444998)Instructions burned: 764 (million)
% 54.83/8.07 % (1445010)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 54.83/8.07 % (1445010)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3670667618:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2935 on theBenchmark for (2935ds/6762Mi)
% 54.83/8.07 % (1445011)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 54.83/8.07 % (1445011)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3184958306:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2935 on theBenchmark for (2935ds/376Mi)
% 54.83/8.07 % (1445011)Instruction limit reached!
% 54.83/8.07 % (1445011)------------------------------
% 54.83/8.07 % (1445011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.83/8.07 % (1445011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/8.07 % (1445011)CaDiCaL version: 2.1.3
% 54.83/8.07 % (1445011)Termination reason: Instruction limit
% 54.83/8.07 % (1445011)Termination phase: Saturation
% 54.83/8.07 % (1445011)Time elapsed: 0.149 s
% 54.83/8.07 % (1445011)Peak memory usage: 12 MB
% 54.83/8.07 % (1445011)Instructions burned: 376 (million)
% 54.83/8.07 % (1445014)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3696608609:i=965:bd=all:ins=4:rtra=on_2933 on theBenchmark for (2933ds/965Mi)
% 54.83/8.07 % (1444999)Instruction limit reached!
% 54.83/8.07 % (1444999)------------------------------
% 54.83/8.07 % (1444999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.83/8.07 % (1444999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.83/8.07 % (1444999)CaDiCaL version: 2.1.3
% 54.83/8.07 % (1444999)Termination reason: Instruction limit
% 54.83/8.07 % (1444999)Termination phase: Saturation
% 54.83/8.07 % (1444999)Time elapsed: 0.552 s
% 54.83/8.07 % (1444999)Peak memory usage: 17 MB
% 54.83/8.07 % (1444999)Instructions burned: 1146 (million)
% 54.83/8.07 % (1445016)lrs+10_1_sil=128000:si=on:urr=on:random_seed=817674316:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2933 on theBenchmark for (2933ds/5013Mi)
% 54.83/8.07 % (1444906)Instruction limit reached!
% 54.83/8.07 % (1444906)------------------------------
% 54.83/8.07 % (1444906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.83/8.07 % (1444906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.20/8.49 % (1444906)CaDiCaL version: 2.1.3
% 57.20/8.49 % (1444906)Termination reason: Instruction limit
% 57.20/8.49 % (1444906)Termination phase: Saturation
% 57.20/8.49 % (1444906)Time elapsed: 3.066 s
% 57.20/8.49 % (1444906)Peak memory usage: 51 MB
% 57.20/8.49 % (1444906)Instructions burned: 6361 (million)
% 57.20/8.49 % (1445018)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=4057789337:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2932 on theBenchmark for (2932ds/1583Mi)
% 57.20/8.49 % (1445004)Instruction limit reached!
% 57.20/8.49 % (1445004)------------------------------
% 57.20/8.49 % (1445004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.20/8.49 % (1445004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.20/8.49 % (1445004)CaDiCaL version: 2.1.3
% 57.20/8.49 % (1445004)Termination reason: Instruction limit
% 57.20/8.49 % (1445004)Termination phase: Saturation
% 57.20/8.49 % (1445004)Time elapsed: 0.771 s
% 57.20/8.49 % (1445004)Peak memory usage: 21 MB
% 57.20/8.49 % (1445004)Instructions burned: 1726 (million)
% 57.20/8.49 % (1445020)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 57.20/8.49 % (1445020)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 57.20/8.49 % (1445020)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) 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
% 57.20/8.49 % (1445020)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 57.20/8.49 % (1445020)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=2883646078:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2930 on theBenchmark for (2930ds/1774Mi)
% 57.20/8.49 % (1445020)Refutation not found, incomplete strategy
% 57.20/8.49 % (1445020)------------------------------
% 57.20/8.49 % (1445020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.20/8.49 % (1445020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.20/8.49 % (1445020)CaDiCaL version: 2.1.3
% 57.20/8.49 % (1445020)Termination reason: Refutation not found, incomplete strategy
% 57.20/8.49 % (1445020)Time elapsed: 0.006 s
% 57.20/8.49 % (1445020)Peak memory usage: 12 MB
% 57.20/8.49 % (1445020)Instructions burned: 12 (million)
% 57.20/8.49 % (1445020)------------------------------
% 57.20/8.49 % (1445020)------------------------------
% 57.20/8.49 % (1445022)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2100138299:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2930 on theBenchmark for (2930ds/515Mi)
% 57.20/8.49 % (1445014)Instruction limit reached!
% 57.20/8.49 % (1445014)------------------------------
% 57.20/8.49 % (1445014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.20/8.49 % (1445014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.20/8.49 % (1445014)CaDiCaL version: 2.1.3
% 57.20/8.49 % (1445014)Termination reason: Instruction limit
% 57.20/8.49 % (1445014)Termination phase: Saturation
% 57.20/8.49 % (1445014)Time elapsed: 0.491 s
% 57.20/8.49 % (1445014)Peak memory usage: 21 MB
% 57.20/8.49 % (1445014)Instructions burned: 965 (million)
% 57.20/8.49 % (1445024)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 57.20/8.49 % (1445024)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2126449381:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2928 on theBenchmark for (2928ds/1297Mi)
% 57.20/8.49 % (1445022)Instruction limit reached!
% 57.20/8.49 % (1445022)------------------------------
% 57.20/8.49 % (1445022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.20/8.49 % (1445022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.20/8.49 % (1445022)CaDiCaL version: 2.1.3
% 57.20/8.49 % (1445022)Termination reason: Instruction limit
% 57.20/8.49 % (1445022)Termination phase: Saturation
% 57.20/8.49 % (1445022)Time elapsed: 0.233 s
% 57.20/8.49 % (1445022)Peak memory usage: 20 MB
% 57.20/8.49 % (1445022)Instructions burned: 517 (million)
% 62.67/9.17 % (1445026)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1158821115:s2a=on:i=611:rtra=on:gsp=on_2927 on theBenchmark for (2927ds/611Mi)
% 62.67/9.17 % (1445026)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 62.67/9.17 % (1445018)Instruction limit reached!
% 62.67/9.17 % (1445018)------------------------------
% 62.67/9.17 % (1445018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.67/9.17 % (1445018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.67/9.17 % (1445018)CaDiCaL version: 2.1.3
% 62.67/9.17 % (1445018)Termination reason: Instruction limit
% 62.67/9.17 % (1445018)Termination phase: Saturation
% 62.67/9.17 % (1445018)Time elapsed: 0.692 s
% 62.67/9.17 % (1445018)Peak memory usage: 22 MB
% 62.67/9.17 % (1445018)Instructions burned: 1584 (million)
% 62.67/9.17 % (1445028)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 62.67/9.17 % (1445028)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=222710942:i=72:bd=all:rtra=on_2925 on theBenchmark for (2925ds/72Mi)
% 62.67/9.17 % (1445028)Instruction limit reached!
% 62.67/9.17 % (1445028)------------------------------
% 62.67/9.17 % (1445028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.67/9.17 % (1445028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.67/9.17 % (1445028)CaDiCaL version: 2.1.3
% 62.67/9.17 % (1445028)Termination reason: Instruction limit
% 62.67/9.17 % (1445028)Termination phase: Saturation
% 62.67/9.17 % (1445028)Time elapsed: 0.032 s
% 62.67/9.17 % (1445028)Peak memory usage: 13 MB
% 62.67/9.17 % (1445028)Instructions burned: 74 (million)
% 62.67/9.17 % (1445030)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=1461634943:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2925 on theBenchmark for (2925ds/6580Mi)
% 62.67/9.17 % (1445026)Instruction limit reached!
% 62.67/9.17 % (1445026)------------------------------
% 62.67/9.17 % (1445026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.67/9.17 % (1445026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.67/9.17 % (1445026)CaDiCaL version: 2.1.3
% 62.67/9.17 % (1445026)Termination reason: Instruction limit
% 62.67/9.17 % (1445026)Termination phase: Saturation
% 62.67/9.17 % (1445026)Time elapsed: 0.294 s
% 62.67/9.17 % (1445026)Peak memory usage: 14 MB
% 62.67/9.17 % (1445026)Instructions burned: 611 (million)
% 62.67/9.17 % (1445032)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2603175567:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2924 on theBenchmark for (2924ds/6209Mi)
% 62.67/9.17 % (1445024)Instruction limit reached!
% 62.67/9.17 % (1445024)------------------------------
% 62.67/9.17 % (1445024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.67/9.17 % (1445024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.67/9.17 % (1445024)CaDiCaL version: 2.1.3
% 62.67/9.17 % (1445024)Termination reason: Instruction limit
% 62.67/9.17 % (1445024)Termination phase: Saturation
% 62.67/9.17 % (1445024)Time elapsed: 0.571 s
% 62.67/9.17 % (1445024)Peak memory usage: 21 MB
% 62.67/9.17 % (1445024)Instructions burned: 1299 (million)
% 62.67/9.17 % (1445034)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1605672980:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2922 on theBenchmark for (2922ds/1003Mi)
% 62.67/9.17 % (1444994)Instruction limit reached!
% 62.67/9.17 % (1444994)------------------------------
% 62.67/9.17 % (1444994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.67/9.17 % (1444994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.67/9.17 % (1444994)CaDiCaL version: 2.1.3
% 62.67/9.17 % (1444994)Termination reason: Instruction limit
% 62.67/9.17 % (1444994)Termination phase: Saturation
% 62.67/9.17 % (1444994)Time elapsed: 1.704 s
% 62.67/9.17 % (1444994)Peak memory usage: 27 MB
% 62.67/9.17 % (1444994)Instructions burned: 7796 (million)
% 62.67/9.17 % (1445036)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 62.67/9.17 % (1445036)ott+1002_16_sil=128000:si=on:random_seed=3128450491:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2922 on theBenchmark for (2922ds/409Mi)
% 65.54/9.67 % (1445036)Instruction limit reached!
% 65.54/9.67 % (1445036)------------------------------
% 65.54/9.67 % (1445036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.54/9.67 % (1445036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.54/9.67 % (1445036)CaDiCaL version: 2.1.3
% 65.54/9.67 % (1445036)Termination reason: Instruction limit
% 65.54/9.67 % (1445036)Termination phase: Saturation
% 65.54/9.67 % (1445036)Time elapsed: 0.096 s
% 65.54/9.67 % (1445036)Peak memory usage: 17 MB
% 65.54/9.67 % (1445036)Instructions burned: 412 (million)
% 65.54/9.67 % (1445038)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=207508445:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2921 on theBenchmark for (2921ds/403Mi)
% 65.54/9.67 % (1445034)Refutation not found, incomplete strategy
% 65.54/9.67 % (1445034)------------------------------
% 65.54/9.67 % (1445034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.54/9.67 % (1445034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.54/9.67 % (1445034)CaDiCaL version: 2.1.3
% 65.54/9.67 % (1445034)Termination reason: Refutation not found, incomplete strategy
% 65.54/9.67 % (1445034)Time elapsed: 0.199 s
% 65.54/9.67 % (1445034)Peak memory usage: 18 MB
% 65.54/9.67 % (1445034)Instructions burned: 451 (million)
% 65.54/9.67 % (1445034)------------------------------
% 65.54/9.67 % (1445034)------------------------------
% 65.54/9.67 % (1445040)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1980534151:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2920 on theBenchmark for (2920ds/6843Mi)
% 65.54/9.67 % (1445040)Refutation not found, incomplete strategy
% 65.54/9.67 % (1445040)------------------------------
% 65.54/9.67 % (1445040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.54/9.67 % (1445040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.54/9.67 % (1445040)CaDiCaL version: 2.1.3
% 65.54/9.67 % (1445040)Termination reason: Refutation not found, incomplete strategy
% 65.54/9.67 % (1445040)Time elapsed: 0.017 s
% 65.54/9.67 % (1445040)Peak memory usage: 12 MB
% 65.54/9.67 % (1445040)Instructions burned: 30 (million)
% 65.54/9.67 % (1445040)------------------------------
% 65.54/9.67 % (1445040)------------------------------
% 65.54/9.67 % (1445042)lrs+10_2:1_si=on:random_seed=2705437003:s2a=on:i=506:rtra=on:fe=abstraction_2920 on theBenchmark for (2920ds/506Mi)
% 65.54/9.67 % (1445038)Instruction limit reached!
% 65.54/9.67 % (1445038)------------------------------
% 65.54/9.67 % (1445038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.54/9.67 % (1445038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.54/9.67 % (1445038)CaDiCaL version: 2.1.3
% 65.54/9.67 % (1445038)Termination reason: Instruction limit
% 65.54/9.67 % (1445038)Termination phase: Saturation
% 65.54/9.67 % (1445038)Time elapsed: 0.096 s
% 65.54/9.67 % (1445038)Peak memory usage: 13 MB
% 65.54/9.67 % (1445038)Instructions burned: 404 (million)
% 65.54/9.67 % (1445044)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=1980675768:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2920 on theBenchmark for (2920ds/888Mi)
% 65.54/9.68 % (1445044)Instruction limit reached!
% 65.54/9.68 % (1445044)------------------------------
% 65.54/9.68 % (1445044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.54/9.68 % (1445044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.54/9.68 % (1445044)CaDiCaL version: 2.1.3
% 65.54/9.68 % (1445044)Termination reason: Instruction limit
% 65.54/9.68 % (1445044)Termination phase: Saturation
% 65.54/9.68 % (1445044)Time elapsed: 0.182 s
% 65.54/9.68 % (1445044)Peak memory usage: 13 MB
% 65.54/9.68 % (1445044)Instructions burned: 893 (million)
% 65.54/9.68 % (1445046)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 65.54/9.68 % (1445046)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=3463742578:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2918 on theBenchmark for (2918ds/416Mi)
% 65.54/9.68 % (1445042)Instruction limit reached!
% 65.54/9.68 % (1445042)------------------------------
% 72.17/10.52 % (1445042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.17/10.52 % (1445042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.17/10.52 % (1445042)CaDiCaL version: 2.1.3
% 72.17/10.52 % (1445042)Termination reason: Instruction limit
% 72.17/10.52 % (1445042)Termination phase: Saturation
% 72.17/10.52 % (1445042)Time elapsed: 0.221 s
% 72.17/10.52 % (1445042)Peak memory usage: 19 MB
% 72.17/10.52 % (1445042)Instructions burned: 507 (million)
% 72.17/10.52 % (1445048)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1095439201:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2917 on theBenchmark for (2917ds/13534Mi)
% 72.17/10.52 % (1445046)Instruction limit reached!
% 72.17/10.52 % (1445046)------------------------------
% 72.17/10.52 % (1445046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.17/10.52 % (1445046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.17/10.52 % (1445046)CaDiCaL version: 2.1.3
% 72.17/10.52 % (1445046)Termination reason: Instruction limit
% 72.17/10.52 % (1445046)Termination phase: Saturation
% 72.17/10.52 % (1445046)Time elapsed: 0.102 s
% 72.17/10.52 % (1445046)Peak memory usage: 14 MB
% 72.17/10.52 % (1445046)Instructions burned: 418 (million)
% 72.17/10.52 % (1445050)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 72.17/10.52 % (1445050)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=1749738032:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2916 on theBenchmark for (2916ds/206Mi)
% 72.17/10.52 % (1445050)Instruction limit reached!
% 72.17/10.52 % (1445050)------------------------------
% 72.17/10.52 % (1445050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.17/10.52 % (1445050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.17/10.52 % (1445050)CaDiCaL version: 2.1.3
% 72.17/10.52 % (1445050)Termination reason: Instruction limit
% 72.17/10.52 % (1445050)Termination phase: Saturation
% 72.17/10.52 % (1445050)Time elapsed: 0.043 s
% 72.17/10.52 % (1445050)Peak memory usage: 12 MB
% 72.17/10.52 % (1445050)Instructions burned: 210 (million)
% 72.17/10.52 % (1445052)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=290477047:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2916 on theBenchmark for (2916ds/2295Mi)
% 72.17/10.52 % (1445016)Instruction limit reached!
% 72.17/10.52 % (1445016)------------------------------
% 72.17/10.52 % (1445016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.17/10.52 % (1445016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.17/10.52 % (1445016)CaDiCaL version: 2.1.3
% 72.17/10.52 % (1445016)Termination reason: Instruction limit
% 72.17/10.52 % (1445016)Termination phase: Saturation
% 72.17/10.52 % (1445016)Time elapsed: 1.839 s
% 72.17/10.52 % (1445016)Peak memory usage: 20 MB
% 72.17/10.52 % (1445016)Instructions burned: 5013 (million)
% 72.17/10.52 % (1445054)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=397041669:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2914 on theBenchmark for (2914ds/637Mi)
% 72.17/10.52 % (1445052)Instruction limit reached!
% 72.17/10.52 % (1445052)------------------------------
% 72.17/10.52 % (1445052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.17/10.52 % (1445052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.17/10.52 % (1445052)CaDiCaL version: 2.1.3
% 72.17/10.52 % (1445052)Termination reason: Instruction limit
% 72.17/10.52 % (1445052)Termination phase: Saturation
% 72.17/10.52 % (1445052)Time elapsed: 0.521 s
% 72.17/10.52 % (1445052)Peak memory usage: 17 MB
% 72.17/10.52 % (1445052)Instructions burned: 2297 (million)
% 72.17/10.52 % (1445054)Instruction limit reached!
% 72.17/10.52 % (1445054)------------------------------
% 72.17/10.52 % (1445054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.17/10.52 % (1445054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.17/10.52 % (1445054)CaDiCaL version: 2.1.3
% 72.17/10.52 % (1445054)Termination reason: Instruction limit
% 72.17/10.52 % (1445054)Termination phase: Saturation
% 72.17/10.52 % (1445054)Time elapsed: 0.339 s
% 72.17/10.52 % (1445054)Peak memory usage: 16 MB
% 78.30/11.52 % (1445054)Instructions burned: 639 (million)
% 78.30/11.52 % (1445056)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1524216468:hsq=on:i=667:rtra=on:ixr=off_2911 on theBenchmark for (2911ds/667Mi)
% 78.30/11.52 % (1445057)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3248755353:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2911 on theBenchmark for (2911ds/1801Mi)
% 78.30/11.52 % (1445056)Instruction limit reached!
% 78.30/11.52 % (1445056)------------------------------
% 78.30/11.52 % (1445056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.30/11.52 % (1445056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.30/11.52 % (1445056)CaDiCaL version: 2.1.3
% 78.30/11.52 % (1445056)Termination reason: Instruction limit
% 78.30/11.52 % (1445056)Termination phase: Saturation
% 78.30/11.52 % (1445056)Time elapsed: 0.141 s
% 78.30/11.52 % (1445056)Peak memory usage: 13 MB
% 78.30/11.52 % (1445056)Instructions burned: 668 (million)
% 78.30/11.52 % (1445060)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3291230205:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2909 on theBenchmark for (2909ds/555Mi)
% 78.30/11.52 % (1445060)Instruction limit reached!
% 78.30/11.52 % (1445060)------------------------------
% 78.30/11.52 % (1445060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.30/11.52 % (1445060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.30/11.52 % (1445060)CaDiCaL version: 2.1.3
% 78.30/11.52 % (1445060)Termination reason: Instruction limit
% 78.30/11.52 % (1445060)Termination phase: Saturation
% 78.30/11.52 % (1445060)Time elapsed: 0.142 s
% 78.30/11.52 % (1445060)Peak memory usage: 11 MB
% 78.30/11.52 % (1445060)Instructions burned: 560 (million)
% 78.30/11.52 % (1445062)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=1014467873:i=88:s2at=3:nm=2:rtra=on:rawr=on_2907 on theBenchmark for (2907ds/88Mi)
% 78.30/11.52 % (1445062)Instruction limit reached!
% 78.30/11.52 % (1445062)------------------------------
% 78.30/11.52 % (1445062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.30/11.52 % (1445062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.30/11.52 % (1445062)CaDiCaL version: 2.1.3
% 78.30/11.52 % (1445062)Termination reason: Instruction limit
% 78.30/11.52 % (1445062)Termination phase: Saturation
% 78.30/11.52 % (1445062)Time elapsed: 0.020 s
% 78.30/11.52 % (1445062)Peak memory usage: 13 MB
% 78.30/11.52 % (1445062)Instructions burned: 93 (million)
% 78.30/11.52 % (1445064)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=914607280:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2907 on theBenchmark for (2907ds/280Mi)
% 78.30/11.52 % (1445064)Instruction limit reached!
% 78.30/11.52 % (1445064)------------------------------
% 78.30/11.52 % (1445064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.30/11.52 % (1445064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.30/11.52 % (1445064)CaDiCaL version: 2.1.3
% 78.30/11.52 % (1445064)Termination reason: Instruction limit
% 78.30/11.52 % (1445064)Termination phase: Saturation
% 78.30/11.52 % (1445064)Time elapsed: 0.060 s
% 78.30/11.52 % (1445064)Peak memory usage: 12 MB
% 78.30/11.52 % (1445064)Instructions burned: 283 (million)
% 78.30/11.52 % (1445066)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=4020200387:s2a=on:i=3166:bd=preordered:rtra=on_2906 on theBenchmark for (2906ds/3166Mi)
% 78.30/11.52 % (1445010)Instruction limit reached!
% 78.30/11.52 % (1445010)------------------------------
% 78.30/11.52 % (1445010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.30/11.52 % (1445010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.30/11.52 % (1445010)CaDiCaL version: 2.1.3
% 78.30/11.52 % (1445010)Termination reason: Instruction limit
% 78.30/11.52 % (1445010)Termination phase: Saturation
% 78.30/11.52 % (1445010)Time elapsed: 2.931 s
% 78.30/11.52 % (1445010)Peak memory usage: 28 MB
% 78.30/11.52 % (1445010)Instructions burned: 6764 (million)
% 78.30/11.52 % (1445068)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 78.30/11.52 % (1445068)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=547662697:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2906 on theBenchmark for (2906ds/4201Mi)
% 83.21/12.06 % (1445057)Instruction limit reached!
% 83.21/12.06 % (1445057)------------------------------
% 83.21/12.06 % (1445057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.21/12.06 % (1445057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.21/12.06 % (1445057)CaDiCaL version: 2.1.3
% 83.21/12.06 % (1445057)Termination reason: Instruction limit
% 83.21/12.06 % (1445057)Termination phase: Saturation
% 83.21/12.06 % (1445057)Time elapsed: 0.740 s
% 83.21/12.06 % (1445057)Peak memory usage: 15 MB
% 83.21/12.06 % (1445057)Instructions burned: 1801 (million)
% 83.21/12.06 % (1445070)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2110049468:i=2352:rtra=on:ixr=off_2903 on theBenchmark for (2903ds/2352Mi)
% 83.21/12.06 % (1445032)Instruction limit reached!
% 83.21/12.06 % (1445032)------------------------------
% 83.21/12.06 % (1445032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.21/12.06 % (1445032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.21/12.06 % (1445032)CaDiCaL version: 2.1.3
% 83.21/12.06 % (1445032)Termination reason: Instruction limit
% 83.21/12.06 % (1445032)Termination phase: Saturation
% 83.21/12.06 % (1445032)Time elapsed: 2.451 s
% 83.21/12.06 % (1445032)Peak memory usage: 22 MB
% 83.21/12.06 % (1445032)Instructions burned: 6210 (million)
% 83.21/12.06 % (1445066)Instruction limit reached!
% 83.21/12.06 % (1445066)------------------------------
% 83.21/12.06 % (1445066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.21/12.06 % (1445066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.21/12.06 % (1445066)CaDiCaL version: 2.1.3
% 83.21/12.06 % (1445066)Termination reason: Instruction limit
% 83.21/12.06 % (1445066)Termination phase: Saturation
% 83.21/12.06 % (1445066)Time elapsed: 0.711 s
% 83.21/12.06 % (1445066)Peak memory usage: 21 MB
% 83.21/12.06 % (1445066)Instructions burned: 3168 (million)
% 83.21/12.06 % (1445072)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 83.21/12.06 % (1445072)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2058132256:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2899 on theBenchmark for (2899ds/452Mi)
% 83.21/12.06 % (1445073)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 83.21/12.06 % (1445073)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 83.21/12.06 % (1445073)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=520280267:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2899 on theBenchmark for (2899ds/483Mi)
% 83.21/12.06 % (1445073)Instruction limit reached!
% 83.21/12.06 % (1445073)------------------------------
% 83.21/12.06 % (1445073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.21/12.06 % (1445073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.21/12.06 % (1445073)CaDiCaL version: 2.1.3
% 83.21/12.06 % (1445073)Termination reason: Instruction limit
% 83.21/12.06 % (1445073)Termination phase: Saturation
% 83.21/12.06 % (1445073)Time elapsed: 0.165 s
% 83.21/12.06 % (1445073)Peak memory usage: 16 MB
% 83.21/12.06 % (1445073)Instructions burned: 484 (million)
% 83.21/12.06 % (1445072)Instruction limit reached!
% 83.21/12.06 % (1445072)------------------------------
% 83.21/12.06 % (1445072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.21/12.06 % (1445072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.21/12.06 % (1445072)CaDiCaL version: 2.1.3
% 83.21/12.06 % (1445072)Termination reason: Instruction limit
% 83.21/12.06 % (1445072)Termination phase: Saturation
% 83.21/12.06 % (1445072)Time elapsed: 0.180 s
% 83.21/12.06 % (1445072)Peak memory usage: 12 MB
% 83.21/12.06 % (1445072)Instructions burned: 454 (million)
% 83.21/12.06 % (1445076)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3223047674:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2897 on theBenchmark for (2897ds/168Mi)
% 83.21/12.06 % (1445077)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=3522019606:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2897 on theBenchmark for (2897ds/17240Mi)
% 85.28/12.46 % (1445076)Instruction limit reached!
% 85.28/12.46 % (1445076)------------------------------
% 85.28/12.46 % (1445076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.28/12.46 % (1445076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.28/12.46 % (1445076)CaDiCaL version: 2.1.3
% 85.28/12.46 % (1445076)Termination reason: Instruction limit
% 85.28/12.46 % (1445076)Termination phase: Saturation
% 85.28/12.46 % (1445076)Time elapsed: 0.041 s
% 85.28/12.46 % (1445076)Peak memory usage: 13 MB
% 85.28/12.46 % (1445076)Instructions burned: 172 (million)
% 85.28/12.46 % (1445080)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2644035961:i=2022:fsr=off:rtra=on:ixr=off_2897 on theBenchmark for (2897ds/2022Mi)
% 85.28/12.46 % (1445080)Instruction limit reached!
% 85.28/12.46 % (1445080)------------------------------
% 85.28/12.46 % (1445080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.28/12.46 % (1445080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.28/12.46 % (1445080)CaDiCaL version: 2.1.3
% 85.28/12.46 % (1445080)Termination reason: Instruction limit
% 85.28/12.46 % (1445080)Termination phase: Saturation
% 85.28/12.46 % (1445080)Time elapsed: 0.452 s
% 85.28/12.46 % (1445080)Peak memory usage: 18 MB
% 85.28/12.46 % (1445080)Instructions burned: 2025 (million)
% 85.28/12.46 % (1445070)Instruction limit reached!
% 85.28/12.46 % (1445070)------------------------------
% 85.28/12.46 % (1445070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.28/12.46 % (1445070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.28/12.46 % (1445070)CaDiCaL version: 2.1.3
% 85.28/12.46 % (1445070)Termination reason: Instruction limit
% 85.28/12.46 % (1445070)Termination phase: Saturation
% 85.28/12.46 % (1445070)Time elapsed: 1.067 s
% 85.28/12.46 % (1445070)Peak memory usage: 16 MB
% 85.28/12.46 % (1445070)Instructions burned: 2352 (million)
% 85.28/12.46 % (1445082)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=3764963227:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2892 on theBenchmark for (2892ds/2274Mi)
% 85.28/12.46 % (1445083)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2483612381:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2892 on theBenchmark for (2892ds/555Mi)
% 85.28/12.46 % (1445030)Instruction limit reached!
% 85.28/12.46 % (1445030)------------------------------
% 85.28/12.46 % (1445030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.28/12.46 % (1445030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.28/12.46 % (1445030)CaDiCaL version: 2.1.3
% 85.28/12.46 % (1445030)Termination reason: Instruction limit
% 85.28/12.46 % (1445030)Termination phase: Saturation
% 85.28/12.46 % (1445030)Time elapsed: 3.261 s
% 85.28/12.46 % (1445030)Peak memory usage: 35 MB
% 85.28/12.46 % (1445030)Instructions burned: 6581 (million)
% 85.28/12.46 % (1445086)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=1035128870:avsq=on:i=2220:rtra=on_2892 on theBenchmark for (2892ds/2220Mi)
% 85.28/12.46 % (1445083)Instruction limit reached!
% 85.28/12.46 % (1445083)------------------------------
% 85.28/12.46 % (1445083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.28/12.46 % (1445083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.28/12.46 % (1445083)CaDiCaL version: 2.1.3
% 85.28/12.46 % (1445083)Termination reason: Instruction limit
% 85.28/12.46 % (1445083)Termination phase: Saturation
% 85.28/12.46 % (1445083)Time elapsed: 0.244 s
% 85.28/12.46 % (1445083)Peak memory usage: 21 MB
% 85.28/12.46 % (1445083)Instructions burned: 556 (million)
% 85.28/12.46 % (1445088)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=566945797:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2889 on theBenchmark for (2889ds/715Mi)
% 85.28/12.46 % (1445068)Instruction limit reached!
% 85.28/12.46 % (1445068)------------------------------
% 85.28/12.46 % (1445068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.28/12.46 % (1445068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.93/13.14 % (1445068)CaDiCaL version: 2.1.3
% 90.93/13.14 % (1445068)Termination reason: Instruction limit
% 90.93/13.14 % (1445068)Termination phase: Saturation
% 90.93/13.14 % (1445068)Time elapsed: 1.847 s
% 90.93/13.14 % (1445068)Peak memory usage: 17 MB
% 90.93/13.14 % (1445068)Instructions burned: 4202 (million)
% 90.93/13.14 % (1445090)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 90.93/13.14 % (1445090)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=534658563:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2887 on theBenchmark for (2887ds/1979Mi)
% 90.93/13.14 % (1445082)Instruction limit reached!
% 90.93/13.14 % (1445082)------------------------------
% 90.93/13.14 % (1445082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.93/13.14 % (1445082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.93/13.14 % (1445082)CaDiCaL version: 2.1.3
% 90.93/13.14 % (1445082)Termination reason: Instruction limit
% 90.93/13.14 % (1445082)Termination phase: Saturation
% 90.93/13.14 % (1445082)Time elapsed: 0.564 s
% 90.93/13.14 % (1445082)Peak memory usage: 20 MB
% 90.93/13.14 % (1445082)Instructions burned: 2276 (million)
% 90.93/13.14 % (1445092)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3654489683:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2886 on theBenchmark for (2886ds/28911Mi)
% 90.93/13.14 % (1445088)Instruction limit reached!
% 90.93/13.14 % (1445088)------------------------------
% 90.93/13.14 % (1445088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.93/13.14 % (1445088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.93/13.14 % (1445088)CaDiCaL version: 2.1.3
% 90.93/13.14 % (1445088)Termination reason: Instruction limit
% 90.93/13.14 % (1445088)Termination phase: Saturation
% 90.93/13.14 % (1445088)Time elapsed: 0.294 s
% 90.93/13.14 % (1445088)Peak memory usage: 13 MB
% 90.93/13.14 % (1445088)Instructions burned: 717 (million)
% 90.93/13.14 % (1445094)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=3150952443:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2886 on theBenchmark for (2886ds/414Mi)
% 90.93/13.14 % (1445094)Instruction limit reached!
% 90.93/13.14 % (1445094)------------------------------
% 90.93/13.14 % (1445094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.93/13.14 % (1445094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.93/13.14 % (1445094)CaDiCaL version: 2.1.3
% 90.93/13.14 % (1445094)Termination reason: Instruction limit
% 90.93/13.14 % (1445094)Termination phase: Saturation
% 90.93/13.14 % (1445094)Time elapsed: 0.177 s
% 90.93/13.14 % (1445094)Peak memory usage: 13 MB
% 90.93/13.14 % (1445094)Instructions burned: 416 (million)
% 90.93/13.14 % (1445096)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2145201041:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2884 on theBenchmark for (2884ds/429Mi)
% 90.93/13.14 % (1445096)Instruction limit reached!
% 90.93/13.14 % (1445096)------------------------------
% 90.93/13.14 % (1445096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.93/13.14 % (1445096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.93/13.14 % (1445096)CaDiCaL version: 2.1.3
% 90.93/13.14 % (1445096)Termination reason: Instruction limit
% 90.93/13.14 % (1445096)Termination phase: Saturation
% 90.93/13.14 % (1445096)Time elapsed: 0.195 s
% 90.93/13.14 % (1445096)Peak memory usage: 18 MB
% 90.93/13.14 % (1445096)Instructions burned: 430 (million)
% 90.93/13.14 % (1445098)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 90.93/13.14 % (1445098)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2660157821:lrd=on:i=841:nm=0:rtra=on_2882 on theBenchmark for (2882ds/841Mi)
% 90.93/13.14 % (1445086)Instruction limit reached!
% 90.93/13.14 % (1445086)------------------------------
% 90.93/13.14 % (1445086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.93/13.14 % (1445086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.93/13.14 % (1445086)CaDiCaL version: 2.1.3
% 90.93/13.14 % (1445086)Termination reason: Instruction limit
% 99.13/14.33 % (1445086)Termination phase: Saturation
% 99.13/14.33 % (1445086)Time elapsed: 1.002 s
% 99.13/14.33 % (1445086)Peak memory usage: 20 MB
% 99.13/14.33 % (1445086)Instructions burned: 2222 (million)
% 99.13/14.33 % (1445100)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=325402555:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2882 on theBenchmark for (2882ds/445Mi)
% 99.13/14.33 % (1444956)Instruction limit reached!
% 99.13/14.33 % (1444956)------------------------------
% 99.13/14.33 % (1444956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.13/14.33 % (1444956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.13/14.33 % (1444956)CaDiCaL version: 2.1.3
% 99.13/14.33 % (1444956)Termination reason: Instruction limit
% 99.13/14.33 % (1444956)Termination phase: Saturation
% 99.13/14.33 % (1444956)Time elapsed: 7.323 s
% 99.13/14.33 % (1444956)Peak memory usage: 32 MB
% 99.13/14.33 % (1444956)Instructions burned: 16203 (million)
% 99.13/14.33 % (1445102)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=2604504275:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2881 on theBenchmark for (2881ds/1324Mi)
% 99.13/14.33 % (1445090)Instruction limit reached!
% 99.13/14.33 % (1445090)------------------------------
% 99.13/14.33 % (1445090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.13/14.33 % (1445090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.13/14.33 % (1445090)CaDiCaL version: 2.1.3
% 99.13/14.33 % (1445090)Termination reason: Instruction limit
% 99.13/14.33 % (1445090)Termination phase: Saturation
% 99.13/14.33 % (1445090)Time elapsed: 0.650 s
% 99.13/14.33 % (1445090)Peak memory usage: 14 MB
% 99.13/14.33 % (1445090)Instructions burned: 1980 (million)
% 99.13/14.33 % (1445104)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=371445130:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2880 on theBenchmark for (2880ds/5401Mi)
% 99.13/14.33 % (1445104)Refutation not found, incomplete strategy
% 99.13/14.33 % (1445104)------------------------------
% 99.13/14.33 % (1445104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.13/14.33 % (1445104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.13/14.33 % (1445104)CaDiCaL version: 2.1.3
% 99.13/14.33 % (1445104)Termination reason: Refutation not found, incomplete strategy
% 99.13/14.33 % (1445104)Time elapsed: 0.019 s
% 99.13/14.33 % (1445104)Peak memory usage: 13 MB
% 99.13/14.33 % (1445104)Instructions burned: 44 (million)
% 99.13/14.33 % (1445104)------------------------------
% 99.13/14.33 % (1445104)------------------------------
% 99.13/14.33 % (1445106)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2639048806:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2880 on theBenchmark for (2880ds/4070Mi)
% 99.13/14.33 % (1445100)Instruction limit reached!
% 99.13/14.33 % (1445100)------------------------------
% 99.13/14.33 % (1445100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.13/14.33 % (1445100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.13/14.33 % (1445100)CaDiCaL version: 2.1.3
% 99.13/14.33 % (1445100)Termination reason: Instruction limit
% 99.13/14.33 % (1445100)Termination phase: Saturation
% 99.13/14.33 % (1445100)Time elapsed: 0.194 s
% 99.13/14.33 % (1445100)Peak memory usage: 16 MB
% 99.13/14.33 % (1445100)Instructions burned: 446 (million)
% 99.13/14.33 % (1445108)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1983489986:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2880 on theBenchmark for (2880ds/984Mi)
% 99.13/14.33 % (1445098)Instruction limit reached!
% 99.13/14.33 % (1445098)------------------------------
% 99.13/14.33 % (1445098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.13/14.33 % (1445098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.13/14.33 % (1445098)CaDiCaL version: 2.1.3
% 99.13/14.33 % (1445098)Termination reason: Instruction limit
% 99.13/14.33 % (1445098)Termination phase: Saturation
% 99.13/14.33 % (1445098)Time elapsed: 0.356 s
% 99.13/14.33 % (1445098)Peak memory usage: 20 MB
% 99.13/14.33 % (1445098)Instructions burned: 843 (million)
% 99.13/14.33 % (1445110)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1113658376:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2878 on theBenchmark for (2878ds/112Mi)
% 99.13/14.33 % (1445110)Instruction limit reached!
% 99.13/14.33 % (1445110)------------------------------
% 99.13/14.33 % (1445110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.40/16.52 % (1445110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/16.52 % (1445110)CaDiCaL version: 2.1.3
% 114.40/16.52 % (1445110)Termination reason: Instruction limit
% 114.40/16.52 % (1445110)Termination phase: Saturation
% 114.40/16.52 % (1445110)Time elapsed: 0.049 s
% 114.40/16.52 % (1445110)Peak memory usage: 13 MB
% 114.40/16.52 % (1445110)Instructions burned: 113 (million)
% 114.40/16.52 % (1445112)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1957123622:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2878 on theBenchmark for (2878ds/1144Mi)
% 114.40/16.52 % (1445108)Instruction limit reached!
% 114.40/16.52 % (1445108)------------------------------
% 114.40/16.52 % (1445108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.40/16.52 % (1445108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/16.52 % (1445108)CaDiCaL version: 2.1.3
% 114.40/16.52 % (1445108)Termination reason: Instruction limit
% 114.40/16.52 % (1445108)Termination phase: Saturation
% 114.40/16.52 % (1445108)Time elapsed: 0.456 s
% 114.40/16.52 % (1445108)Peak memory usage: 20 MB
% 114.40/16.52 % (1445108)Instructions burned: 986 (million)
% 114.40/16.52 % (1445102)Instruction limit reached!
% 114.40/16.52 % (1445102)------------------------------
% 114.40/16.52 % (1445102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.40/16.52 % (1445102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/16.52 % (1445102)CaDiCaL version: 2.1.3
% 114.40/16.52 % (1445102)Termination reason: Instruction limit
% 114.40/16.52 % (1445102)Termination phase: Saturation
% 114.40/16.52 % (1445102)Time elapsed: 0.631 s
% 114.40/16.52 % (1445102)Peak memory usage: 21 MB
% 114.40/16.52 % (1445102)Instructions burned: 1325 (million)
% 114.40/16.52 % (1445114)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=2606809103:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2875 on theBenchmark for (2875ds/1352Mi)
% 114.40/16.52 % (1445115)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=2587109310:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2875 on theBenchmark for (2875ds/693Mi)
% 114.40/16.52 % (1445114)Refutation not found, incomplete strategy
% 114.40/16.52 % (1445114)------------------------------
% 114.40/16.52 % (1445114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.40/16.52 % (1445114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/16.52 % (1445114)CaDiCaL version: 2.1.3
% 114.40/16.52 % (1445114)Termination reason: Refutation not found, incomplete strategy
% 114.40/16.52 % (1445114)Time elapsed: 0.017 s
% 114.40/16.52 % (1445114)Peak memory usage: 12 MB
% 114.40/16.52 % (1445114)Instructions burned: 38 (million)
% 114.40/16.52 % (1445114)------------------------------
% 114.40/16.52 % (1445114)------------------------------
% 114.40/16.52 % (1445118)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=706394628:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2874 on theBenchmark for (2874ds/908Mi)
% 114.40/16.52 % (1445112)Instruction limit reached!
% 114.40/16.52 % (1445112)------------------------------
% 114.40/16.52 % (1445112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.40/16.52 % (1445112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/16.52 % (1445112)CaDiCaL version: 2.1.3
% 114.40/16.52 % (1445112)Termination reason: Instruction limit
% 114.40/16.52 % (1445112)Termination phase: Saturation
% 114.40/16.52 % (1445112)Time elapsed: 0.545 s
% 114.40/16.52 % (1445112)Peak memory usage: 16 MB
% 114.40/16.52 % (1445112)Instructions burned: 1146 (million)
% 114.40/16.52 % (1445120)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2469765651:i=6901:add=on:slsql=off:rtra=on:ntd=on_2872 on theBenchmark for (2872ds/6901Mi)
% 114.40/16.52 % (1445115)Instruction limit reached!
% 114.40/16.52 % (1445115)------------------------------
% 114.40/16.52 % (1445115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 114.40/16.52 % (1445115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/16.52 % (1445115)CaDiCaL version: 2.1.3
% 114.40/16.52 % (1445115)Termination reason: Instruction limit
% 114.40/16.52 % (1445115)Termination phase: Saturation
% 114.40/16.52 % (1445115)Time elapsed: 0.348 s
% 114.40/16.52 % (1445115)Peak memory usage: 16 MB
% 127.73/18.38 % (1445115)Instructions burned: 694 (million)
% 127.73/18.38 % (1445122)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1941628382:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2871 on theBenchmark for (2871ds/3621Mi)
% 127.73/18.38 % (1445118)Instruction limit reached!
% 127.73/18.38 % (1445118)------------------------------
% 127.73/18.38 % (1445118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 127.73/18.38 % (1445118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.73/18.38 % (1445118)CaDiCaL version: 2.1.3
% 127.73/18.38 % (1445118)Termination reason: Instruction limit
% 127.73/18.38 % (1445118)Termination phase: Saturation
% 127.73/18.38 % (1445118)Time elapsed: 0.369 s
% 127.73/18.38 % (1445118)Peak memory usage: 15 MB
% 127.73/18.38 % (1445118)Instructions burned: 908 (million)
% 127.73/18.38 % (1445124)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=920013050:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2870 on theBenchmark for (2870ds/1160Mi)
% 127.73/18.38 % (1445124)Instruction limit reached!
% 127.73/18.38 % (1445124)------------------------------
% 127.73/18.38 % (1445124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 127.73/18.38 % (1445124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.73/18.38 % (1445124)CaDiCaL version: 2.1.3
% 127.73/18.38 % (1445124)Termination reason: Instruction limit
% 127.73/18.38 % (1445124)Termination phase: Saturation
% 127.73/18.38 % (1445124)Time elapsed: 0.484 s
% 127.73/18.38 % (1445124)Peak memory usage: 15 MB
% 127.73/18.38 % (1445124)Instructions burned: 1161 (million)
% 127.73/18.38 % (1445126)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=2750463851:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2865 on theBenchmark for (2865ds/570Mi)
% 127.73/18.38 % (1445126)Instruction limit reached!
% 127.73/18.38 % (1445126)------------------------------
% 127.73/18.38 % (1445126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 127.73/18.38 % (1445126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.73/18.38 % (1445126)CaDiCaL version: 2.1.3
% 127.73/18.38 % (1445126)Termination reason: Instruction limit
% 127.73/18.38 % (1445126)Termination phase: Saturation
% 127.73/18.38 % (1445126)Time elapsed: 0.212 s
% 127.73/18.38 % (1445126)Peak memory usage: 13 MB
% 127.73/18.38 % (1445126)Instructions burned: 571 (million)
% 127.73/18.38 % (1445130)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3347737609:i=324:bd=all:ins=4:rtra=on_2863 on theBenchmark for (2863ds/324Mi)
% 127.73/18.38 % (1445130)Instruction limit reached!
% 127.73/18.38 % (1445130)------------------------------
% 127.73/18.38 % (1445130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 127.73/18.38 % (1445130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.73/18.38 % (1445130)CaDiCaL version: 2.1.3
% 127.73/18.38 % (1445130)Termination reason: Instruction limit
% 127.73/18.38 % (1445130)Termination phase: Saturation
% 127.73/18.38 % (1445130)Time elapsed: 0.170 s
% 127.73/18.38 % (1445130)Peak memory usage: 15 MB
% 127.73/18.38 % (1445130)Instructions burned: 325 (million)
% 127.73/18.38 % (1445191)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=2918659838:s2a=on:i=5712:rtra=on_2861 on theBenchmark for (2861ds/5712Mi)
% 127.73/18.38 % (1445106)Instruction limit reached!
% 127.73/18.38 % (1445106)------------------------------
% 127.73/18.38 % (1445106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 127.73/18.38 % (1445106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.73/18.38 % (1445106)CaDiCaL version: 2.1.3
% 127.73/18.38 % (1445106)Termination reason: Instruction limit
% 127.73/18.38 % (1445106)Termination phase: Saturation
% 127.73/18.38 % (1445106)Time elapsed: 2.048 s
% 127.73/18.38 % (1445106)Peak memory usage: 30 MB
% 127.73/18.38 % (1445106)Instructions burned: 4071 (million)
% 127.73/18.38 % (1445267)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 127.73/18.38 % (1445267)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 127.73/18.38 % (1445267)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=2087470323:i=901:rtra=on:fsd=on_2859 on theBenchmark for (2859ds/901Mi)
% 134.04/19.23 % (1445122)Instruction limit reached!
% 134.04/19.23 % (1445122)------------------------------
% 134.04/19.23 % (1445122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.04/19.23 % (1445122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.04/19.23 % (1445122)CaDiCaL version: 2.1.3
% 134.04/19.23 % (1445122)Termination reason: Instruction limit
% 134.04/19.23 % (1445122)Termination phase: Saturation
% 134.04/19.23 % (1445122)Time elapsed: 1.482 s
% 134.04/19.23 % (1445122)Peak memory usage: 25 MB
% 134.04/19.23 % (1445122)Instructions burned: 3621 (million)
% 134.04/19.23 % (1445363)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1610609742:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2856 on theBenchmark for (2856ds/2961Mi)
% 134.04/19.23 % (1445267)Instruction limit reached!
% 134.04/19.23 % (1445267)------------------------------
% 134.04/19.23 % (1445267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.04/19.23 % (1445267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.04/19.23 % (1445267)CaDiCaL version: 2.1.3
% 134.04/19.23 % (1445267)Termination reason: Instruction limit
% 134.04/19.23 % (1445267)Termination phase: Saturation
% 134.04/19.23 % (1445267)Time elapsed: 0.412 s
% 134.04/19.23 % (1445267)Peak memory usage: 13 MB
% 134.04/19.23 % (1445267)Instructions burned: 903 (million)
% 134.04/19.23 % (1445388)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=193295729:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2855 on theBenchmark for (2855ds/3526Mi)
% 134.04/19.23 % (1445048)Instruction limit reached!
% 134.04/19.23 % (1445048)------------------------------
% 134.04/19.23 % (1445048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.04/19.23 % (1445048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.04/19.23 % (1445048)CaDiCaL version: 2.1.3
% 134.04/19.23 % (1445048)Termination reason: Instruction limit
% 134.04/19.23 % (1445048)Termination phase: Saturation
% 134.04/19.23 % (1445048)Time elapsed: 6.286 s
% 134.04/19.23 % (1445048)Peak memory usage: 49 MB
% 134.04/19.23 % (1445048)Instructions burned: 13536 (million)
% 134.04/19.23 % (1445407)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=2873964959:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2854 on theBenchmark for (2854ds/3368Mi)
% 134.04/19.23 % (1445363)Instruction limit reached!
% 134.04/19.23 % (1445363)------------------------------
% 134.04/19.23 % (1445363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.04/19.23 % (1445363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.04/19.23 % (1445363)CaDiCaL version: 2.1.3
% 134.04/19.23 % (1445363)Termination reason: Instruction limit
% 134.04/19.23 % (1445363)Termination phase: Saturation
% 134.04/19.23 % (1445363)Time elapsed: 1.471 s
% 134.04/19.23 % (1445363)Peak memory usage: 26 MB
% 134.04/19.23 % (1445363)Instructions burned: 2963 (million)
% 134.04/19.23 % (1445424)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=830165436:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2841 on theBenchmark for (2841ds/20626Mi)
% 134.04/19.23 % (1445388)Instruction limit reached!
% 134.04/19.23 % (1445388)------------------------------
% 134.04/19.23 % (1445388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.04/19.23 % (1445388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.04/19.23 % (1445388)CaDiCaL version: 2.1.3
% 134.04/19.23 % (1445388)Termination reason: Instruction limit
% 134.04/19.23 % (1445388)Termination phase: Saturation
% 134.04/19.23 % (1445388)Time elapsed: 1.532 s
% 134.04/19.23 % (1445388)Peak memory usage: 17 MB
% 134.04/19.23 % (1445388)Instructions burned: 3528 (million)
% 134.04/19.23 % (1445426)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2109973719:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2839 on theBenchmark for (2839ds/27154Mi)
% 134.04/19.23 % (1445407)Instruction limit reached!
% 134.04/19.23 % (1445407)------------------------------
% 134.04/19.23 % (1445407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.04/19.23 % (1445407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.04/19.23 % (1445407)CaDiCaL version: 2.1.3
% 135.78/19.69 % (1445407)Termination reason: Instruction limit
% 135.78/19.69 % (1445407)Termination phase: Saturation
% 135.78/19.69 % (1445407)Time elapsed: 1.684 s
% 135.78/19.69 % (1445407)Peak memory usage: 24 MB
% 135.78/19.69 % (1445407)Instructions burned: 3368 (million)
% 135.78/19.69 % (1445428)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2031519799:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2837 on theBenchmark for (2837ds/515Mi)
% 135.78/19.69 % (1445120)Instruction limit reached!
% 135.78/19.69 % (1445120)------------------------------
% 135.78/19.69 % (1445120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.78/19.69 % (1445120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.78/19.69 % (1445120)CaDiCaL version: 2.1.3
% 135.78/19.69 % (1445120)Termination reason: Instruction limit
% 135.78/19.69 % (1445120)Termination phase: Saturation
% 135.78/19.69 % (1445120)Time elapsed: 3.551 s
% 135.78/19.69 % (1445120)Peak memory usage: 53 MB
% 135.78/19.69 % (1445120)Instructions burned: 6903 (million)
% 135.78/19.69 % (1445430)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=490677149:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2836 on theBenchmark for (2836ds/2653Mi)
% 135.78/19.69 % (1445428)Instruction limit reached!
% 135.78/19.69 % (1445428)------------------------------
% 135.78/19.69 % (1445428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.78/19.69 % (1445428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.78/19.69 % (1445428)CaDiCaL version: 2.1.3
% 135.78/19.69 % (1445428)Termination reason: Instruction limit
% 135.78/19.69 % (1445428)Termination phase: Saturation
% 135.78/19.69 % (1445428)Time elapsed: 0.347 s
% 135.78/19.69 % (1445428)Peak memory usage: 20 MB
% 135.78/19.69 % (1445428)Instructions burned: 515 (million)
% 135.78/19.69 % (1445433)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 135.78/19.69 % (1445433)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2753146781:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2833 on theBenchmark for (2833ds/1297Mi)
% 135.78/19.69 % (1445191)Instruction limit reached!
% 135.78/19.69 % (1445191)------------------------------
% 135.78/19.69 % (1445191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.78/19.69 % (1445191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.78/19.69 % (1445191)CaDiCaL version: 2.1.3
% 135.78/19.69 % (1445191)Termination reason: Instruction limit
% 135.78/19.69 % (1445191)Termination phase: Saturation
% 135.78/19.69 % (1445191)Time elapsed: 3.286 s
% 135.78/19.69 % (1445191)Peak memory usage: 19 MB
% 135.78/19.69 % (1445191)Instructions burned: 5712 (million)
% 135.78/19.69 % (1445440)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1332540748:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2828 on theBenchmark for (2828ds/1950Mi)
% 135.78/19.69 % (1445433)Instruction limit reached!
% 135.78/19.69 % (1445433)------------------------------
% 135.78/19.69 % (1445433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.78/19.69 % (1445433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.78/19.69 % (1445433)CaDiCaL version: 2.1.3
% 135.78/19.69 % (1445433)Termination reason: Instruction limit
% 135.78/19.69 % (1445433)Termination phase: Saturation
% 135.78/19.69 % (1445433)Time elapsed: 0.638 s
% 135.78/19.69 % (1445433)Peak memory usage: 20 MB
% 135.78/19.69 % (1445433)Instructions burned: 1297 (million)
% 135.78/19.69 % (1445442)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=954034822:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2827 on theBenchmark for (2827ds/2818Mi)
% 135.78/19.69 % (1445430)Instruction limit reached!
% 135.78/19.69 % (1445430)------------------------------
% 135.78/19.69 % (1445430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 135.78/19.69 % (1445430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.78/19.69 % (1445430)CaDiCaL version: 2.1.3
% 135.78/19.69 % (1445430)Termination reason: Instruction limit
% 135.78/19.69 % (1445430)Termination phase: Saturation
% 135.78/19.69 % (1445430)Time elapsed: 1.761 s
% 135.78/19.69 % (1445430)Peak memory usage: 18 MB
% 135.78/19.69 % (1445430)Instructions burned: 2654 (million)
% 156.01/22.31 % (1445452)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=3577089992:s2a=on:i=573:rtra=on:gsp=on_2818 on theBenchmark for (2818ds/573Mi)
% 156.01/22.31 % (1445452)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 156.01/22.31 % (1445452)Instruction limit reached!
% 156.01/22.31 % (1445452)------------------------------
% 156.01/22.31 % (1445452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 156.01/22.31 % (1445452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.01/22.31 % (1445452)CaDiCaL version: 2.1.3
% 156.01/22.31 % (1445452)Termination reason: Instruction limit
% 156.01/22.31 % (1445452)Termination phase: Saturation
% 156.01/22.31 % (1445452)Time elapsed: 0.272 s
% 156.01/22.31 % (1445452)Peak memory usage: 14 MB
% 156.01/22.31 % (1445452)Instructions burned: 573 (million)
% 156.01/22.31 % (1445440)Instruction limit reached!
% 156.01/22.31 % (1445440)------------------------------
% 156.01/22.31 % (1445440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 156.01/22.31 % (1445440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.01/22.31 % (1445440)CaDiCaL version: 2.1.3
% 156.01/22.31 % (1445440)Termination reason: Instruction limit
% 156.01/22.31 % (1445440)Termination phase: Saturation
% 156.01/22.31 % (1445440)Time elapsed: 1.255 s
% 156.01/22.31 % (1445440)Peak memory usage: 22 MB
% 156.01/22.31 % (1445440)Instructions burned: 1951 (million)
% 156.01/22.31 % (1445455)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=76852010:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2815 on theBenchmark for (2815ds/9598Mi)
% 156.01/22.31 % (1445456)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 156.01/22.31 % (1445456)ott+1002_16_sil=128000:si=on:random_seed=2039458627:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2815 on theBenchmark for (2815ds/409Mi)
% 156.01/22.31 % (1445456)Instruction limit reached!
% 156.01/22.31 % (1445456)------------------------------
% 156.01/22.31 % (1445456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 156.01/22.31 % (1445456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.01/22.31 % (1445456)CaDiCaL version: 2.1.3
% 156.01/22.31 % (1445456)Termination reason: Instruction limit
% 156.01/22.31 % (1445456)Termination phase: Saturation
% 156.01/22.31 % (1445456)Time elapsed: 0.181 s
% 156.01/22.31 % (1445456)Peak memory usage: 17 MB
% 156.01/22.31 % (1445456)Instructions burned: 413 (million)
% 156.01/22.31 % (1445459)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1917116032:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2813 on theBenchmark for (2813ds/403Mi)
% 156.01/22.31 % (1445459)Instruction limit reached!
% 156.01/22.31 % (1445459)------------------------------
% 156.01/22.31 % (1445459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 156.01/22.31 % (1445459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.01/22.31 % (1445459)CaDiCaL version: 2.1.3
% 156.01/22.31 % (1445459)Termination reason: Instruction limit
% 156.01/22.31 % (1445459)Termination phase: Saturation
% 156.01/22.31 % (1445459)Time elapsed: 0.181 s
% 156.01/22.31 % (1445459)Peak memory usage: 14 MB
% 156.01/22.31 % (1445459)Instructions burned: 404 (million)
% 156.01/22.31 % (1445461)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2177710585:cond=on:i=1140:rtra=on:ntd=on_2811 on theBenchmark for (2811ds/1140Mi)
% 156.01/22.31 % (1445092)Instruction limit reached!
% 156.01/22.31 % (1445092)------------------------------
% 156.01/22.31 % (1445092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 156.01/22.31 % (1445092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.01/22.31 % (1445092)CaDiCaL version: 2.1.3
% 156.01/22.31 % (1445092)Termination reason: Instruction limit
% 156.01/22.31 % (1445092)Termination phase: Saturation
% 156.01/22.31 % (1445092)Time elapsed: 7.593 s
% 156.01/22.31 % (1445092)Peak memory usage: 66 MB
% 156.01/22.31 % (1445092)Instructions burned: 28912 (million)
% 156.01/22.31 % (1445468)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3362564384:i=13574:kws=inv_precedence:rtra=on_2810 on theBenchmark for (2810ds/13574Mi)
% 156.01/22.31 % (1445468)Refutation not found, incomplete strategy
% 156.01/22.31 % (1445468)------------------------------
% 186.94/26.74 % (1445468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.94/26.74 % (1445468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.94/26.74 % (1445468)CaDiCaL version: 2.1.3
% 186.94/26.74 % (1445468)Termination reason: Refutation not found, incomplete strategy
% 186.94/26.74 % (1445468)Time elapsed: 0.008 s
% 186.94/26.74 % (1445468)Peak memory usage: 12 MB
% 186.94/26.74 % (1445468)Instructions burned: 16 (million)
% 186.94/26.74 % (1445468)------------------------------
% 186.94/26.74 % (1445468)------------------------------
% 186.94/26.74 % (1445442)Instruction limit reached!
% 186.94/26.74 % (1445442)------------------------------
% 186.94/26.74 % (1445442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.94/26.74 % (1445442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.94/26.74 % (1445442)CaDiCaL version: 2.1.3
% 186.94/26.74 % (1445442)Termination reason: Instruction limit
% 186.94/26.74 % (1445442)Termination phase: Saturation
% 186.94/26.74 % (1445442)Time elapsed: 1.661 s
% 186.94/26.74 % (1445442)Peak memory usage: 24 MB
% 186.94/26.74 % (1445442)Instructions burned: 2819 (million)
% 186.94/26.74 % (1445470)lrs+10_2:1_si=on:random_seed=4029629464:s2a=on:i=1055:rtra=on:fe=abstraction_2810 on theBenchmark for (2810ds/1055Mi)
% 186.94/26.74 % (1445471)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 186.94/26.74 % (1445471)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=399495452:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2810 on theBenchmark for (2810ds/416Mi)
% 186.94/26.74 % (1445077)Instruction limit reached!
% 186.94/26.74 % (1445077)------------------------------
% 186.94/26.74 % (1445077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.94/26.74 % (1445077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.94/26.74 % (1445077)CaDiCaL version: 2.1.3
% 186.94/26.74 % (1445077)Termination reason: Instruction limit
% 186.94/26.74 % (1445077)Termination phase: Saturation
% 186.94/26.74 % (1445077)Time elapsed: 8.826 s
% 186.94/26.74 % (1445077)Peak memory usage: 53 MB
% 186.94/26.74 % (1445077)Instructions burned: 17242 (million)
% 186.94/26.74 % (1445474)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=2692481066:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2809 on theBenchmark for (2809ds/8946Mi)
% 186.94/26.74 % (1445471)Instruction limit reached!
% 186.94/26.74 % (1445471)------------------------------
% 186.94/26.74 % (1445471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.94/26.74 % (1445471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.94/26.74 % (1445471)CaDiCaL version: 2.1.3
% 186.94/26.74 % (1445471)Termination reason: Instruction limit
% 186.94/26.74 % (1445471)Termination phase: Saturation
% 186.94/26.74 % (1445471)Time elapsed: 0.223 s
% 186.94/26.74 % (1445471)Peak memory usage: 14 MB
% 186.94/26.74 % (1445471)Instructions burned: 418 (million)
% 186.94/26.74 % (1445476)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3939750395:s2a=on:i=2129:nm=16:rtra=on_2807 on theBenchmark for (2807ds/2129Mi)
% 186.94/26.74 % (1445476)Refutation not found, incomplete strategy
% 186.94/26.74 % (1445476)------------------------------
% 186.94/26.74 % (1445476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.94/26.74 % (1445476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.94/26.74 % (1445476)CaDiCaL version: 2.1.3
% 186.94/26.74 % (1445476)Termination reason: Refutation not found, incomplete strategy
% 186.94/26.74 % (1445476)Time elapsed: 0.011 s
% 186.94/26.74 % (1445476)Peak memory usage: 12 MB
% 186.94/26.74 % (1445476)Instructions burned: 15 (million)
% 186.94/26.74 % (1445476)------------------------------
% 186.94/26.74 % (1445476)------------------------------
% 186.94/26.74 % (1445478)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2343463423:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2807 on theBenchmark for (2807ds/300Mi)
% 186.94/26.74 % (1445478)Refutation not found, incomplete strategy
% 186.94/26.74 % (1445478)------------------------------
% 186.94/26.74 % (1445478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.94/26.74 % (1445478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.94/26.74 % (1445478)CaDiCaL version: 2.1.3
% 186.94/26.74 % (1445478)Termination reason: Refutation not found, incomplete strategy
% 197.54/28.27 % (1445478)Time elapsed: 0.144 s
% 197.54/28.27 % (1445478)Peak memory usage: 13 MB
% 197.54/28.27 % (1445478)Instructions burned: 281 (million)
% 197.54/28.27 % (1445478)------------------------------
% 197.54/28.27 % (1445478)------------------------------
% 197.54/28.27 % (1445470)Instruction limit reached!
% 197.54/28.27 % (1445470)------------------------------
% 197.54/28.27 % (1445470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445470)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445470)Termination reason: Instruction limit
% 197.54/28.27 % (1445470)Termination phase: Saturation
% 197.54/28.27 % (1445470)Time elapsed: 0.449 s
% 197.54/28.27 % (1445470)Peak memory usage: 20 MB
% 197.54/28.27 % (1445470)Instructions burned: 1056 (million)
% 197.54/28.27 % (1445480)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=4246435145:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2805 on theBenchmark for (2805ds/11464Mi)
% 197.54/28.27 % (1445481)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=611959125:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2805 on theBenchmark for (2805ds/11001Mi)
% 197.54/28.27 % (1445461)Instruction limit reached!
% 197.54/28.27 % (1445461)------------------------------
% 197.54/28.27 % (1445461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445461)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445461)Termination reason: Instruction limit
% 197.54/28.27 % (1445461)Termination phase: Saturation
% 197.54/28.27 % (1445461)Time elapsed: 0.732 s
% 197.54/28.27 % (1445461)Peak memory usage: 18 MB
% 197.54/28.27 % (1445461)Instructions burned: 1140 (million)
% 197.54/28.27 % (1445484)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=2493692244:hsq=on:i=662:rtra=on:ixr=off_2804 on theBenchmark for (2804ds/662Mi)
% 197.54/28.27 % (1445484)Instruction limit reached!
% 197.54/28.27 % (1445484)------------------------------
% 197.54/28.27 % (1445484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445484)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445484)Termination reason: Instruction limit
% 197.54/28.27 % (1445484)Termination phase: Saturation
% 197.54/28.27 % (1445484)Time elapsed: 0.421 s
% 197.54/28.27 % (1445484)Peak memory usage: 13 MB
% 197.54/28.27 % (1445484)Instructions burned: 663 (million)
% 197.54/28.27 % (1445486)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2097846803:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2799 on theBenchmark for (2799ds/1714Mi)
% 197.54/28.27 % (1445486)Instruction limit reached!
% 197.54/28.27 % (1445486)------------------------------
% 197.54/28.27 % (1445486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445486)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445486)Termination reason: Instruction limit
% 197.54/28.27 % (1445486)Termination phase: Saturation
% 197.54/28.27 % (1445486)Time elapsed: 1.334 s
% 197.54/28.27 % (1445486)Peak memory usage: 14 MB
% 197.54/28.27 % (1445486)Instructions burned: 1714 (million)
% 197.54/28.27 % (1445488)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3533012525:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2786 on theBenchmark for (2786ds/699Mi)
% 197.54/28.27 % (1445488)Instruction limit reached!
% 197.54/28.27 % (1445488)------------------------------
% 197.54/28.27 % (1445488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445488)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445488)Termination reason: Instruction limit
% 197.54/28.27 % (1445488)Termination phase: Saturation
% 197.54/28.27 % (1445488)Time elapsed: 0.551 s
% 197.54/28.27 % (1445488)Peak memory usage: 15 MB
% 197.54/28.27 % (1445488)Instructions burned: 700 (million)
% 197.54/28.27 % (1445490)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=2828955826:i=4542:bd=preordered:rtra=on:ss=axioms_2780 on theBenchmark for (2780ds/4542Mi)
% 197.54/28.27 % (1445480)Instruction limit reached!
% 197.54/28.27 % (1445480)------------------------------
% 197.54/28.27 % (1445480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445480)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445480)Termination reason: Instruction limit
% 197.54/28.27 % (1445480)Termination phase: Saturation
% 197.54/28.27 % (1445480)Time elapsed: 4.541 s
% 197.54/28.27 % (1445480)Peak memory usage: 20 MB
% 197.54/28.27 % (1445480)Instructions burned: 11465 (million)
% 197.54/28.27 % (1445455)Instruction limit reached!
% 197.54/28.27 % (1445455)------------------------------
% 197.54/28.27 % (1445455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445455)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445455)Termination reason: Instruction limit
% 197.54/28.27 % (1445455)Termination phase: Saturation
% 197.54/28.27 % (1445455)Time elapsed: 5.554 s
% 197.54/28.27 % (1445455)Peak memory usage: 15 MB
% 197.54/28.27 % (1445455)Instructions burned: 9599 (million)
% 197.54/28.27 % (1445492)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=890049206:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2760 on theBenchmark for (2760ds/280Mi)
% 197.54/28.27 % (1445493)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 197.54/28.27 % (1445493)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=46126472:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2760 on theBenchmark for (2760ds/13409Mi)
% 197.54/28.27 % (1445492)Instruction limit reached!
% 197.54/28.27 % (1445492)------------------------------
% 197.54/28.27 % (1445492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445492)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445492)Termination reason: Instruction limit
% 197.54/28.27 % (1445492)Termination phase: Saturation
% 197.54/28.27 % (1445492)Time elapsed: 0.113 s
% 197.54/28.27 % (1445492)Peak memory usage: 12 MB
% 197.54/28.27 % (1445492)Instructions burned: 281 (million)
% 197.54/28.27 % (1445496)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=146935289:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2758 on theBenchmark for (2758ds/26870Mi)
% 197.54/28.27 % (1445490)Instruction limit reached!
% 197.54/28.27 % (1445490)------------------------------
% 197.54/28.27 % (1445490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445490)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445490)Termination reason: Instruction limit
% 197.54/28.27 % (1445490)Termination phase: Saturation
% 197.54/28.27 % (1445490)Time elapsed: 2.380 s
% 197.54/28.27 % (1445490)Peak memory usage: 30 MB
% 197.54/28.27 % (1445490)Instructions burned: 4543 (million)
% 197.54/28.27 % (1445498)dis+21_16:1_to=lpo:drc=off:cnfonf=lazy_not_be_gen:si=on:sp=const_min:lma=off:urr=on:uwa=hol:nwc=20:s2agt=4:random_seed=2941013687:uwa_fpi=on:s2a=on:i=21001:s2at=3:piset=or:hud=15:rtra=on:fe=abstraction_2755 on theBenchmark for (2755ds/21001Mi)
% 197.54/28.27 % (1445474)Instruction limit reached!
% 197.54/28.27 % (1445474)------------------------------
% 197.54/28.27 % (1445474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445474)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445474)Termination reason: Instruction limit
% 197.54/28.27 % (1445474)Termination phase: Saturation
% 197.54/28.27 % (1445474)Time elapsed: 7.286 s
% 197.54/28.27 % (1445474)Peak memory usage: 26 MB
% 197.54/28.27 % (1445474)Instructions burned: 8948 (million)
% 197.54/28.27 % (1445501)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=2184316079:hsq=on:hsqr=16,1:s2a=on:i=46928:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2736 on theBenchmark for (2736ds/46928Mi)
% 197.54/28.27 % (1445481)Instruction limit reached!
% 197.54/28.27 % (1445481)------------------------------
% 197.54/28.27 % (1445481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.27 % (1445481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.27 % (1445481)CaDiCaL version: 2.1.3
% 197.54/28.27 % (1445481)Termination reason: Instruction limit
% 197.54/28.27 % (1445481)Termination phase: Saturation
% 197.54/28.27 % (1445481)Time elapsed: 7.014 s
% 197.54/28.27 % (1445481)Peak memory usage: 46 MB
% 197.54/28.27 % (1445481)Instructions burned: 11001 (million)
% 197.54/28.27 % (1445503)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=4072408235:hsq=on:hsqr=16,1:s2a=on:i=18590:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2735 on theBenchmark for (2735ds/18590Mi)
% 197.54/28.27 % (1445496) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1444426-1445496"...
% 197.54/28.27 % (1445496)...printing done.
% 197.54/28.27 % (1445496)Refutation found. Thanks to Tanya!
% 197.54/28.27 % SZS status Theorem for theBenchmark
% 197.54/28.27 % SZS output start Proof for theBenchmark
% 197.54/28.27 thf(type_def_5, type, mu: $tType).
% 197.54/28.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 197.54/28.27 thf(func_def_0, type, qmltpeq: (mu > mu > $i > $o)).
% 197.54/28.27 thf(func_def_1, type, meq_prop: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_3, type, mnot: (($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_4, type, mor: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_5, type, mbox: (($i > $i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_6, type, mforall_prop: ((($i > $o) > $i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_7, type, mtrue: ($i > $o)).
% 197.54/28.27 thf(func_def_8, type, mfalse: ($i > $o)).
% 197.54/28.27 thf(func_def_9, type, mand: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_10, type, mimplies: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_11, type, mimplied: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_12, type, mequiv: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_13, type, mxor: (($i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_14, type, mdia: (($i > $i > $o) > ($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_15, type, exists_in_world: (mu > $i > $o)).
% 197.54/28.27 thf(func_def_16, type, mforall_ind: ((mu > $i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_17, type, mexists_ind: ((mu > $i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_18, type, mexists_prop: ((($i > $o) > $i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_19, type, mreflexive: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_20, type, msymmetric: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_21, type, mserial: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_22, type, mtransitive: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_23, type, meuclidean: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_24, type, mpartially_functional: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_25, type, mfunctional: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_26, type, mweakly_dense: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_27, type, mweakly_connected: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_28, type, mweakly_directed: (($i > $i > $o) > $o)).
% 197.54/28.27 thf(func_def_29, type, mvalid: (($i > $o) > $o)).
% 197.54/28.27 thf(func_def_30, type, msatisfiable: (($i > $o) > $o)).
% 197.54/28.27 thf(func_def_31, type, mcountersatisfiable: (($i > $o) > $o)).
% 197.54/28.27 thf(func_def_32, type, minvalid: (($i > $o) > $o)).
% 197.54/28.27 thf(func_def_33, type, rel_s4: ($i > $i > $o)).
% 197.54/28.27 thf(func_def_34, type, mbox_s4: (($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_35, type, mdia_s4: (($i > $o) > $i > $o)).
% 197.54/28.27 thf(func_def_36, type, big_p: (mu > $i > $o)).
% 197.54/28.27 thf(func_def_37, type, db1: !>[X0: $tType]:(X0)).
% 197.54/28.27 thf(func_def_38, type, db0: !>[X0: $tType]:(X0)).
% 197.54/28.27 thf(func_def_39, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 197.54/28.27 thf(func_def_42, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 197.54/28.27 thf(func_def_43, type, vOR: ($o > $o > $o)).
% 197.54/28.27 thf(func_def_44, type, vNOT: ($o > $o)).
% 197.54/28.27 thf(func_def_45, type, db3: !>[X0: $tType]:(X0)).
% 197.54/28.27 thf(func_def_46, type, db2: !>[X0: $tType]:(X0)).
% 197.54/28.27 thf(func_def_47, type, vIMP: ($o > $o > $o)).
% 197.54/28.27 thf(func_def_48, type, vAND: ($o > $o > $o)).
% 197.54/28.27 thf(func_def_49, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 197.54/28.27 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 197.54/28.27 thf(func_def_51, type, db4: !>[X0: $tType]:(X0)).
% 197.54/28.27 thf(func_def_55, type, sK3: ($i > mu)).
% 197.54/28.27 thf(func_def_57, type, sK5: (mu > $i > $i)).
% 197.54/28.27 thf(func_def_58, type, sK6: ($i > $i)).
% 197.54/28.27 thf(func_def_59, type, sK7: mu).
% 197.54/28.27 thf(func_def_61, type, sK9: ($i > mu)).
% 197.54/28.27 thf(func_def_62, type, sK10: ($i > mu)).
% 197.54/28.27 thf(func_def_65, type, sK13: ($i > $i > mu)).
% 197.54/28.27 thf(func_def_68, type, sK16: ($i > $i > mu)).
% 197.54/28.27 thf(func_def_69, type, sK17: ($i > $i > mu)).
% 197.54/28.27 thf(func_def_70, type, sK18: ($i > $i)).
% 197.54/28.27 thf(func_def_71, type, sK19: ($i > $i)).
% 197.54/28.27 thf(func_def_72, type, sK20: ($i > $i > mu)).
% 197.54/28.27 thf(func_def_73, type, sK21: ($i > $i > mu)).
% 197.54/28.27 thf(func_def_74, type, sK22: ($i > $i > mu)).
% 197.54/28.27 thf(func_def_75, type, sK23: ($i > mu)).
% 197.54/28.27 thf(func_def_76, type, sK24: ($i > $i)).
% 197.54/28.27 thf(func_def_77, type, sK25: ($i > $i)).
% 197.54/28.27 thf(func_def_78, type, sK26: ($i > $i)).
% 197.54/28.27 thf(func_def_79, type, sK27: ($i > $i)).
% 197.54/28.27 thf(func_def_80, type, sK28: ($i > $i)).
% 197.54/28.27 thf(func_def_81, type, sK29: ($i > mu)).
% 197.54/28.27 thf(func_def_82, type, sK30: ($i > $i)).
% 197.54/28.27 thf(func_def_83, type, sK31: ($i > mu)).
% 197.54/28.27 thf(func_def_84, type, sK32: ($i > mu)).
% 197.54/28.27 thf(func_def_85, type, sK33: ($i > mu)).
% 197.54/28.27 thf(func_def_86, type, sK34: ($i > $i)).
% 197.54/28.27 thf(func_def_87, type, sK35: (mu > $i)).
% 197.54/28.27 thf(func_def_88, type, sK36: ($i > $i)).
% 197.54/28.27 thf(func_def_89, type, sK37: (mu > $i)).
% 197.54/28.27 thf(func_def_90, type, sK38: (mu > $i)).
% 197.54/28.27 thf(func_def_91, type, sK39: ($i > mu)).
% 197.54/28.27 thf(func_def_92, type, sK40: ($i > $i)).
% 197.54/28.27 thf(func_def_93, type, sK41: ($i > $i)).
% 197.54/28.27 thf(func_def_94, type, sK42: ($i > mu)).
% 197.54/28.27 thf(func_def_95, type, sK43: (mu > $i)).
% 197.54/28.27 thf(f2,axiom,(
% 197.54/28.27 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mnot)).
% 197.54/28.27 thf(f3,axiom,(
% 197.54/28.27 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mor)).
% 197.54/28.27 thf(f8,axiom,(
% 197.54/28.27 ((^[X0 : ($i > $o), X1 : ($i > $o)] : ((mnot @ (mor @ (mnot @ X0) @ (mnot @ X1))))) = mand)),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mand)).
% 197.54/28.27 thf(f9,axiom,(
% 197.54/28.27 (mimplies = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mnot @ X0) @ X1))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mimplies)).
% 197.54/28.27 thf(f14,axiom,(
% 197.54/28.27 ! [X0 : $i] : ? [X1 : mu] : (exists_in_world @ X1 @ X0)),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',nonempty_ax)).
% 197.54/28.27 thf(f15,axiom,(
% 197.54/28.27 (mforall_ind = (^[X0 : (mu > $i > $o), X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mforall_ind)).
% 197.54/28.27 thf(f16,axiom,(
% 197.54/28.27 (mexists_ind = (^[X0 : (mu > $i > $o)] : ((mnot @ (mforall_ind @ (^[X1 : mu] : ((mnot @ (X0 @ X1)))))))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mexists_ind)).
% 197.54/28.27 thf(f18,axiom,(
% 197.54/28.27 ((^[X0 : ($i > $i > $o)] : (! [X1 : $i] : (X0 @ X1 @ X1))) = mreflexive)),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mreflexive)).
% 197.54/28.27 thf(f21,axiom,(
% 197.54/28.27 (mtransitive = (^[X0 : ($i > $i > $o)] : (! [X3 : $i,X2 : $i,X1 : $i] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3)))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mtransitive)).
% 197.54/28.27 thf(f28,axiom,(
% 197.54/28.27 ((^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))) = mvalid)),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mvalid)).
% 197.54/28.27 thf(f32,axiom,(
% 197.54/28.27 (mbox_s4 = (^[X0 : ($i > $o), X1 : $i] : (! [X2 : $i] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',mbox_s4)).
% 197.54/28.27 thf(f34,axiom,(
% 197.54/28.27 (mreflexive @ rel_s4)),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',a1)).
% 197.54/28.27 thf(f35,axiom,(
% 197.54/28.27 (mtransitive @ rel_s4)),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',a2)).
% 197.54/28.27 thf(f36,axiom,(
% 197.54/28.27 ! [X2 : $i,X1 : $i,X0 : mu] : (((exists_in_world @ X0 @ X1) & (rel_s4 @ X1 @ X2)) => (exists_in_world @ X0 @ X2))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/Axioms/LCL015^1.ax',cumulative_ax)).
% 197.54/28.27 thf(f37,conjecture,(
% 197.54/28.27 (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : ((mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mbox_s4 @ (big_p @ X0))))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0)))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0)))))))) @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : ((mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mbox_s4 @ (big_p @ X0)))))))))))))),
% 197.54/28.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2128)).
% 197.54/28.27 thf(f38,negated_conjecture,(
% 197.54/28.27 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : ((mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mbox_s4 @ (big_p @ X0))))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0)))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0))))) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mexists_ind @ (^[X0 : mu] : ((mbox_s4 @ (big_p @ X0)))))))) @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : ((mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))) @ (mbox_s4 @ (big_p @ X0)))))))))))))),
% 197.54/28.27 inference(negated_conjecture,[status(cth)],[f37])).
% 197.54/28.27 thf(f45,plain,(
% 197.54/28.27 (mtransitive @ rel_s4)),
% 197.54/28.27 inference(rectify,[],[f35])).
% 197.54/28.27 thf(f46,plain,(
% 197.54/28.27 (((mtransitive @ rel_s4)) = $true)),
% 197.54/28.27 inference(fool_elimination,[],[f45])).
% 197.54/28.27 thf(f47,plain,(
% 197.54/28.27 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 197.54/28.27 inference(fool_elimination,[],[f9])).
% 197.54/28.27 thf(f54,plain,(
% 197.54/28.27 ((^[X0 : ($i > $i > $o)] : (! [X1 : $i] : (X0 @ X1 @ X1))) = mreflexive)),
% 197.54/28.27 inference(rectify,[],[f18])).
% 197.54/28.27 thf(f55,plain,(
% 197.54/28.27 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 197.54/28.27 inference(fool_elimination,[],[f54])).
% 197.54/28.27 thf(f56,plain,(
% 197.54/28.27 (mbox_s4 = (^[X0 : ($i > $o), X1 : $i] : (! [X2 : $i] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))))),
% 197.54/28.27 inference(rectify,[],[f32])).
% 197.54/28.27 thf(f57,plain,(
% 197.54/28.27 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 197.54/28.27 inference(fool_elimination,[],[f56])).
% 197.54/28.27 thf(f62,plain,(
% 197.54/28.27 ! [X0 : $i,X1 : $i,X2 : mu] : (((exists_in_world @ X2 @ X1) & (rel_s4 @ X1 @ X0)) => (exists_in_world @ X2 @ X0))),
% 197.54/28.27 inference(rectify,[],[f36])).
% 197.54/28.27 thf(f63,plain,(
% 197.54/28.27 ($true = ((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (exists_in_world @ Y0 @ Y1)) => (exists_in_world @ Y0 @ Y2))))))))))),
% 197.54/28.27 inference(fool_elimination,[],[f62])).
% 197.54/28.27 thf(f68,plain,(
% 197.54/28.27 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 197.54/28.27 inference(rectify,[],[f2])).
% 197.54/28.27 thf(f69,plain,(
% 197.54/28.27 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 197.54/28.27 inference(fool_elimination,[],[f68])).
% 197.54/28.27 thf(f70,plain,(
% 197.54/28.27 (mforall_ind = (^[X0 : (mu > $i > $o), X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 197.54/28.27 inference(rectify,[],[f15])).
% 197.54/28.27 thf(f71,plain,(
% 197.54/28.27 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 197.54/28.27 inference(fool_elimination,[],[f70])).
% 197.54/28.27 thf(f72,plain,(
% 197.54/28.27 (mreflexive @ rel_s4)),
% 197.54/28.27 inference(rectify,[],[f34])).
% 197.54/28.27 thf(f73,plain,(
% 197.54/28.27 (((mreflexive @ rel_s4)) = $true)),
% 197.54/28.27 inference(fool_elimination,[],[f72])).
% 197.54/28.27 thf(f74,plain,(
% 197.54/28.27 (mexists_ind = (^[X0 : (mu > $i > $o)] : ((mnot @ (mforall_ind @ (^[X1 : mu] : ((mnot @ (X0 @ X1)))))))))),
% 197.54/28.27 inference(rectify,[],[f16])).
% 197.54/28.27 thf(f75,plain,(
% 197.54/28.27 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 197.54/28.27 inference(fool_elimination,[],[f74])).
% 197.54/28.27 thf(f76,plain,(
% 197.54/28.27 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 197.54/28.27 inference(fool_elimination,[],[f8])).
% 197.54/28.27 thf(f82,plain,(
% 197.54/28.27 (mtransitive = (^[X0 : ($i > $i > $o)] : (! [X1 : $i,X2 : $i,X3 : $i] : (((X0 @ X3 @ X2) & (X0 @ X2 @ X1)) => (X0 @ X3 @ X1)))))),
% 197.54/28.27 inference(rectify,[],[f21])).
% 197.54/28.27 thf(f83,plain,(
% 197.54/28.27 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))),
% 197.54/28.27 inference(fool_elimination,[],[f82])).
% 197.54/28.27 thf(f90,plain,(
% 197.54/28.27 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 197.54/28.27 inference(rectify,[],[f3])).
% 197.54/28.27 thf(f91,plain,(
% 197.54/28.27 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 197.54/28.27 inference(fool_elimination,[],[f90])).
% 197.54/28.27 thf(f94,plain,(
% 197.54/28.27 ~(mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : ((mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X0)) @ (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : ((mbox_s4 @ (big_p @ X1)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X2 : mu] : ((mbox_s4 @ (big_p @ X2)))))) @ (mbox_s4 @ (big_p @ X0))))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X3 : mu] : ((mbox_s4 @ (big_p @ X3))))) @ (mbox_s4 @ (mforall_ind @ (^[X4 : mu] : ((mbox_s4 @ (big_p @ X4)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X5 : mu] : ((mbox_s4 @ (big_p @ X5)))))) @ (mexists_ind @ (^[X6 : mu] : ((mbox_s4 @ (big_p @ X6)))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X7 : mu] : ((mbox_s4 @ (big_p @ X7))))) @ (mbox_s4 @ (mforall_ind @ (^[X8 : mu] : ((mbox_s4 @ (big_p @ X8)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X9 : mu] : ((mbox_s4 @ (big_p @ X9)))))) @ (mexists_ind @ (^[X10 : mu] : ((mbox_s4 @ (big_p @ X10)))))))) @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : ((mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ X11)) @ (mbox_s4 @ (mforall_ind @ (^[X12 : mu] : ((mbox_s4 @ (big_p @ X12)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X13 : mu] : ((mbox_s4 @ (big_p @ X13)))))) @ (mbox_s4 @ (big_p @ X11)))))))))))))),
% 197.54/28.27 inference(rectify,[],[f38])).
% 197.54/28.27 thf(f95,plain,(
% 197.54/28.27 (((~ (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0)))))))))))))) = $true)),
% 197.54/28.27 inference(fool_elimination,[],[f94])).
% 197.54/28.27 thf(f96,plain,(
% 197.54/28.27 ! [X0 : $i] : ? [X1 : mu] : (exists_in_world @ X1 @ X0)),
% 197.54/28.27 inference(rectify,[],[f14])).
% 197.54/28.27 thf(f97,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0)))))))),
% 197.54/28.27 inference(fool_elimination,[],[f96])).
% 197.54/28.27 thf(f100,plain,(
% 197.54/28.27 ((^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))) = mvalid)),
% 197.54/28.27 inference(rectify,[],[f28])).
% 197.54/28.27 thf(f101,plain,(
% 197.54/28.27 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 197.54/28.27 inference(fool_elimination,[],[f100])).
% 197.54/28.27 thf(f103,plain,(
% 197.54/28.27 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f69])).
% 197.54/28.27 thf(f105,plain,(
% 197.54/28.27 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f76])).
% 197.54/28.27 thf(f113,plain,(
% 197.54/28.27 (((mtransitive @ rel_s4)) = $true)),
% 197.54/28.27 inference(cnf_transformation,[],[f46])).
% 197.54/28.27 thf(f115,plain,(
% 197.54/28.27 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f57])).
% 197.54/28.27 thf(f117,plain,(
% 197.54/28.27 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 197.54/28.27 inference(cnf_transformation,[],[f101])).
% 197.54/28.27 thf(f120,plain,(
% 197.54/28.27 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 197.54/28.27 inference(cnf_transformation,[],[f55])).
% 197.54/28.27 thf(f122,plain,(
% 197.54/28.27 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f71])).
% 197.54/28.27 thf(f123,plain,(
% 197.54/28.27 ($true = ((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (exists_in_world @ Y0 @ Y1)) => (exists_in_world @ Y0 @ Y2))))))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f63])).
% 197.54/28.27 thf(f127,plain,(
% 197.54/28.27 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 197.54/28.27 inference(cnf_transformation,[],[f47])).
% 197.54/28.27 thf(f129,plain,(
% 197.54/28.27 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f91])).
% 197.54/28.27 thf(f132,plain,(
% 197.54/28.27 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f83])).
% 197.54/28.27 thf(f133,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0)))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f97])).
% 197.54/28.27 thf(f134,plain,(
% 197.54/28.27 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 197.54/28.27 inference(cnf_transformation,[],[f75])).
% 197.54/28.27 thf(f138,plain,(
% 197.54/28.27 (((mreflexive @ rel_s4)) = $true)),
% 197.54/28.27 inference(cnf_transformation,[],[f73])).
% 197.54/28.27 thf(f139,plain,(
% 197.54/28.27 (((~ (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0)))))))) @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0)))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))) @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (big_p @ Y0))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (big_p @ Y0)) @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (big_p @ Y1))))) @ (mbox_s4 @ (big_p @ Y0)))))))))))))) = $true)),
% 197.54/28.27 inference(cnf_transformation,[],[f95])).
% 197.54/28.27 thf(f140,definition,(
% 197.54/28.27 ($false != $true)),
% 197.54/28.27 introduced(theory,[fool_distinctness_axiom])).
% 197.54/28.27 thf(f143,plain,(
% 197.54/28.27 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 197.54/28.27 inference(definition_unfolding,[],[f105,f103,f129,f103,f103])).
% 197.54/28.27 thf(f144,plain,(
% 197.54/28.27 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 197.54/28.27 inference(definition_unfolding,[],[f127,f129,f103])).
% 197.54/28.27 thf(f149,plain,(
% 197.54/28.27 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 197.54/28.27 inference(definition_unfolding,[],[f134,f103,f122,f103])).
% 197.54/28.27 thf(f152,plain,(
% 197.54/28.27 ($true = (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))) @ rel_s4)))),
% 197.54/28.27 inference(definition_unfolding,[],[f113,f132])).
% 197.54/28.27 thf(f153,plain,(
% 197.54/28.27 ((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4)) = $true)),
% 197.54/28.27 inference(definition_unfolding,[],[f138,f120])).
% 197.54/28.27 thf(f154,plain,(
% 197.54/28.27 ($true = ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (big_p @ Y1))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ (big_p @ Y0)))))))))))))))),
% 197.54/28.27 inference(definition_unfolding,[],[f139,f117,f143,f115,f144,f115,f122,f143,f115,f144,f115,f115,f122,f115,f115,f144,f115,f122,f115,f115,f143,f115,f144,f149,f115,f115,f122,f115,f115,f144,f115,f122,f115,f149,f115,f115,f144,f143,f115,f144,f149,f115,f115,f122,f115,f115,f144,f115,f122,f115,f149,f115,f115,f122,f143,f115,f144,f115,f115,f122,f115,f115,f144,f115,f122,f115,f115])).
% 197.54/28.27 thf(f155,plain,(
% 197.54/28.27 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (rel_s4 @ Y0 @ Y1)) => (rel_s4 @ Y0 @ Y2))))))))) = $true)),
% 197.54/28.27 inference(beta-eta_normalization,[],[f152])).
% 197.54/28.27 thf(f156,plain,(
% 197.54/28.27 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))))))),
% 197.54/28.27 inference(beta-eta_normalization,[],[f154])).
% 197.54/28.27 thf(f157,plain,(
% 197.54/28.27 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))))))),
% 197.54/28.27 inference(boolean_simplification,[],[f156])).
% 197.54/28.27 thf(f158,plain,(
% 197.54/28.27 (((~ (!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))))) = $true)),
% 197.54/28.27 inference(boolean_simplification,[],[f157])).
% 197.54/28.27 thf(f159,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)))))),
% 197.54/28.27 inference(beta-eta_normalization,[],[f153])).
% 197.54/28.27 thf(f161,definition,(
% 197.54/28.27 spl0_1 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (rel_s4 @ Y0 @ Y1)) => (rel_s4 @ Y0 @ Y2))))))))) = $true)),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 197.54/28.27 thf(f162,plain,(
% 197.54/28.27 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (rel_s4 @ Y0 @ Y1)) => (rel_s4 @ Y0 @ Y2))))))))) = $true) | ~spl0_1),
% 197.54/28.27 inference(avatar_component_clause,[],[f161])).
% 197.54/28.27 thf(f163,plain,(
% 197.54/28.27 spl0_1),
% 197.54/28.27 inference(avatar_split_clause,[],[f155,f161])).
% 197.54/28.27 thf(f164,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 197.54/28.27 inference(not_proxy_clausification,[],[f158])).
% 197.54/28.27 thf(f166,definition,(
% 197.54/28.27 spl0_2 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 197.54/28.27 thf(f167,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))))) | ~spl0_2),
% 197.54/28.27 inference(avatar_component_clause,[],[f166])).
% 197.54/28.27 thf(f168,plain,(
% 197.54/28.27 spl0_2),
% 197.54/28.27 inference(avatar_split_clause,[],[f159,f166])).
% 197.54/28.27 thf(f170,definition,(
% 197.54/28.27 spl0_3 <=> ($false = $true)),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 197.54/28.27 thf(f172,plain,(
% 197.54/28.27 ~spl0_3),
% 197.54/28.27 inference(avatar_split_clause,[],[f140,f170])).
% 197.54/28.27 thf(f174,definition,(
% 197.54/28.27 spl0_4 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 197.54/28.27 thf(f175,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0))))))) | ~spl0_4),
% 197.54/28.27 inference(avatar_component_clause,[],[f174])).
% 197.54/28.27 thf(f176,plain,(
% 197.54/28.27 spl0_4),
% 197.54/28.27 inference(avatar_split_clause,[],[f133,f174])).
% 197.54/28.27 thf(f178,definition,(
% 197.54/28.27 spl0_5 <=> ($true = ((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (exists_in_world @ Y0 @ Y1)) => (exists_in_world @ Y0 @ Y2))))))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 197.54/28.27 thf(f179,plain,(
% 197.54/28.27 ($true = ((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (exists_in_world @ Y0 @ Y1)) => (exists_in_world @ Y0 @ Y2)))))))))) | ~spl0_5),
% 197.54/28.27 inference(avatar_component_clause,[],[f178])).
% 197.54/28.27 thf(f180,plain,(
% 197.54/28.27 spl0_5),
% 197.54/28.27 inference(avatar_split_clause,[],[f123,f178])).
% 197.54/28.27 thf(f182,definition,(
% 197.54/28.27 spl0_6 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 197.54/28.27 thf(f183,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))))) | ~spl0_6),
% 197.54/28.27 inference(avatar_component_clause,[],[f182])).
% 197.54/28.27 thf(f184,plain,(
% 197.54/28.27 spl0_6),
% 197.54/28.27 inference(avatar_split_clause,[],[f164,f182])).
% 197.54/28.27 thf(f185,plain,(
% 197.54/28.27 ($false = (((^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: (((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))))) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((big_p @ Y6 @ Y7) | (~ (rel_s4 @ Y5 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))) @ sK1))) | ~spl0_6),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f183])).
% 197.54/28.27 thf(f186,plain,(
% 197.54/28.27 ($false = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))))) | ~spl0_6),
% 197.54/28.27 inference(beta-eta_normalization,[],[f185])).
% 197.54/28.27 thf(f187,plain,(
% 197.54/28.27 ((((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))) = $true) | ~spl0_6),
% 197.54/28.27 inference(not_proxy_clausification,[],[f186])).
% 197.54/28.27 thf(f188,plain,(
% 197.54/28.27 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))) | ~spl0_6),
% 197.54/28.27 inference(or_proxy_clausification,[],[f187])).
% 197.54/28.27 thf(f189,plain,(
% 197.54/28.27 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0))))))) | ~spl0_6),
% 197.54/28.27 inference(not_proxy_clausification,[],[f188])).
% 197.54/28.27 thf(f190,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0))))))) | ~spl0_6),
% 197.54/28.27 inference(not_proxy_clausification,[],[f189])).
% 197.54/28.27 thf(f192,definition,(
% 197.54/28.27 spl0_7 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 197.54/28.27 thf(f193,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0))))))) | ~spl0_7),
% 197.54/28.27 inference(avatar_component_clause,[],[f192])).
% 197.54/28.27 thf(f195,definition,(
% 197.54/28.27 spl0_8 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 197.54/28.27 thf(f196,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0))))))) | ~spl0_8),
% 197.54/28.27 inference(avatar_component_clause,[],[f195])).
% 197.54/28.27 thf(f197,plain,(
% 197.54/28.27 spl0_7 | spl0_8 | ~spl0_6),
% 197.54/28.27 inference(avatar_split_clause,[],[f190,f182,f195,f192])).
% 197.54/28.27 thf(f198,plain,(
% 197.54/28.27 ((((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK1 @ Y0)))) @ sK2)) = $false) | ~spl0_8),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f196])).
% 197.54/28.27 thf(f199,plain,(
% 197.54/28.27 ($false = ((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))))) | (~ (rel_s4 @ sK1 @ sK2))))) | ~spl0_8),
% 197.54/28.27 inference(beta-eta_normalization,[],[f198])).
% 197.54/28.27 thf(f201,plain,(
% 197.54/28.27 ($false = (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))))))) | ~spl0_8),
% 197.54/28.27 inference(or_proxy_clausification,[],[f199])).
% 197.54/28.27 thf(f202,plain,(
% 197.54/28.27 ($false = (((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))))) | ~spl0_8),
% 197.54/28.27 inference(or_proxy_clausification,[],[f201])).
% 197.54/28.27 thf(f203,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))) | ~spl0_8),
% 197.54/28.27 inference(or_proxy_clausification,[],[f201])).
% 197.54/28.27 thf(f205,plain,(
% 197.54/28.27 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))))) | ~spl0_8),
% 197.54/28.27 inference(or_proxy_clausification,[],[f202])).
% 197.54/28.27 thf(f208,definition,(
% 197.54/28.27 spl0_9 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
% 197.54/28.27 thf(f209,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK2 @ Y0))))))) | ~spl0_9),
% 197.54/28.27 inference(avatar_component_clause,[],[f208])).
% 197.54/28.27 thf(f210,plain,(
% 197.54/28.27 spl0_9 | ~spl0_8),
% 197.54/28.27 inference(avatar_split_clause,[],[f203,f195,f208])).
% 197.54/28.27 thf(f215,plain,(
% 197.54/28.27 (((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) = $true) | ~spl0_8),
% 197.54/28.27 inference(not_proxy_clausification,[],[f205])).
% 197.54/28.27 thf(f218,definition,(
% 197.54/28.27 spl0_11 <=> (((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) = $true)),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
% 197.54/28.27 thf(f219,plain,(
% 197.54/28.27 (((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))))) = $true) | ~spl0_11),
% 197.54/28.27 inference(avatar_component_clause,[],[f218])).
% 197.54/28.27 thf(f220,plain,(
% 197.54/28.27 spl0_11 | ~spl0_8),
% 197.54/28.27 inference(avatar_split_clause,[],[f215,f195,f218])).
% 197.54/28.27 thf(f225,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1)))) ) | ~spl0_2),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f167])).
% 197.54/28.27 thf(f226,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = ((rel_s4 @ X1 @ X1)))) ) | ~spl0_2),
% 197.54/28.27 inference(beta-eta_normalization,[],[f225])).
% 197.54/28.27 thf(f240,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (((((^[Y0 : $i]: (?? @ mu @ (^[Y1 : mu]: (exists_in_world @ Y1 @ Y0)))) @ X1)) = $true)) ) | ~spl0_4),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f175])).
% 197.54/28.27 thf(f241,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = ((?? @ mu @ (^[Y0 : mu]: (exists_in_world @ Y0 @ X1)))))) ) | ~spl0_4),
% 197.54/28.27 inference(beta-eta_normalization,[],[f240])).
% 197.54/28.27 thf(f242,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK2 @ Y0)))) @ X1)))) ) | ~spl0_11),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f219])).
% 197.54/28.27 thf(f243,plain,(
% 197.54/28.27 ( ! [X1 : $i] : ((((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0))))) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))))) | (~ (rel_s4 @ sK2 @ X1)))) = $true)) ) | ~spl0_11),
% 197.54/28.27 inference(beta-eta_normalization,[],[f242])).
% 197.54/28.27 thf(f244,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0))))) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))))))) = $true) | ($true = ((~ (rel_s4 @ sK2 @ X1))))) ) | ~spl0_11),
% 197.54/28.27 inference(or_proxy_clausification,[],[f243])).
% 197.54/28.27 thf(f245,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($false = ((rel_s4 @ sK2 @ X1))) | ((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0))))) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))))))) = $true)) ) | ~spl0_11),
% 197.54/28.27 inference(not_proxy_clausification,[],[f244])).
% 197.54/28.27 thf(f246,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y0))))))) | ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))))))) | ($false = ((rel_s4 @ sK2 @ X1)))) ) | ~spl0_11),
% 197.54/28.27 inference(or_proxy_clausification,[],[f245])).
% 197.54/28.27 thf(f247,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (((((^[Y0 : mu]: (exists_in_world @ Y0 @ X1)) @ (sK3 @ X1))) = $true)) ) | ~spl0_4),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f241])).
% 197.54/28.27 thf(f248,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = ((exists_in_world @ (sK3 @ X1) @ X1)))) ) | ~spl0_4),
% 197.54/28.27 inference(beta-eta_normalization,[],[f247])).
% 197.54/28.27 thf(f253,plain,(
% 197.54/28.27 ($false = (((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK4))) | ~spl0_9),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f209])).
% 197.54/28.27 thf(f256,plain,(
% 197.54/28.27 ($false = (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) | (~ (rel_s4 @ sK2 @ sK4))))) | ~spl0_9),
% 197.54/28.27 inference(beta-eta_normalization,[],[f253])).
% 197.54/28.27 thf(f257,plain,(
% 197.54/28.27 ($false = ((~ (rel_s4 @ sK2 @ sK4)))) | ~spl0_9),
% 197.54/28.27 inference(or_proxy_clausification,[],[f256])).
% 197.54/28.27 thf(f258,plain,(
% 197.54/28.27 ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))))) | ~spl0_9),
% 197.54/28.27 inference(or_proxy_clausification,[],[f256])).
% 197.54/28.27 thf(f260,definition,(
% 197.54/28.27 spl0_13 <=> ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))))))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
% 197.54/28.27 thf(f261,plain,(
% 197.54/28.27 ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))))) | ~spl0_13),
% 197.54/28.27 inference(avatar_component_clause,[],[f260])).
% 197.54/28.27 thf(f262,plain,(
% 197.54/28.27 spl0_13 | ~spl0_9),
% 197.54/28.27 inference(avatar_split_clause,[],[f258,f208,f260])).
% 197.54/28.27 thf(f263,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK2 @ sK4))) | ~spl0_9),
% 197.54/28.27 inference(not_proxy_clausification,[],[f257])).
% 197.54/28.27 thf(f265,definition,(
% 197.54/28.27 spl0_14 <=> ($true = ((rel_s4 @ sK2 @ sK4)))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition])).
% 197.54/28.27 thf(f266,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK2 @ sK4))) | ~spl0_14),
% 197.54/28.27 inference(avatar_component_clause,[],[f265])).
% 197.54/28.27 thf(f267,plain,(
% 197.54/28.27 spl0_14 | ~spl0_9),
% 197.54/28.27 inference(avatar_split_clause,[],[f263,f208,f265])).
% 197.54/28.27 thf(f311,plain,(
% 197.54/28.27 ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))))))) @ sK7)) = $false) | ~spl0_13),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f261])).
% 197.54/28.27 thf(f313,plain,(
% 197.54/28.27 ($false = (((exists_in_world @ sK7 @ sK4) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))))) | ~spl0_13),
% 197.54/28.27 inference(beta-eta_normalization,[],[f311])).
% 197.54/28.27 thf(f315,plain,(
% 197.54/28.27 ($false = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))))) | ~spl0_13),
% 197.54/28.27 inference(imp_proxy_clausification,[],[f313])).
% 197.54/28.27 thf(f316,plain,(
% 197.54/28.27 ($true = ((exists_in_world @ sK7 @ sK4))) | ~spl0_13),
% 197.54/28.27 inference(imp_proxy_clausification,[],[f313])).
% 197.54/28.27 thf(f318,definition,(
% 197.54/28.27 spl0_15 <=> ($true = ((exists_in_world @ sK7 @ sK4)))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition])).
% 197.54/28.27 thf(f319,plain,(
% 197.54/28.27 ($true = ((exists_in_world @ sK7 @ sK4))) | ~spl0_15),
% 197.54/28.27 inference(avatar_component_clause,[],[f318])).
% 197.54/28.27 thf(f320,plain,(
% 197.54/28.27 spl0_15 | ~spl0_13),
% 197.54/28.27 inference(avatar_split_clause,[],[f316,f260,f318])).
% 197.54/28.27 thf(f326,definition,(
% 197.54/28.27 spl0_16 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition])).
% 197.54/28.27 thf(f327,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_16),
% 197.54/28.27 inference(avatar_component_clause,[],[f326])).
% 197.54/28.27 thf(f329,definition,(
% 197.54/28.27 spl0_17 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition])).
% 197.54/28.27 thf(f330,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_17),
% 197.54/28.27 inference(avatar_component_clause,[],[f329])).
% 197.54/28.27 thf(f332,plain,(
% 197.54/28.27 ($false = (((^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0)))) @ sK8))) | ~spl0_7),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f193])).
% 197.54/28.27 thf(f334,plain,(
% 197.54/28.27 ($false = ((((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (rel_s4 @ sK1 @ sK8))))) | ~spl0_7),
% 197.54/28.27 inference(beta-eta_normalization,[],[f332])).
% 197.54/28.27 thf(f337,plain,(
% 197.54/28.27 ($false = (((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))))) | ~spl0_7),
% 197.54/28.27 inference(or_proxy_clausification,[],[f334])).
% 197.54/28.27 thf(f339,plain,(
% 197.54/28.27 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | ~spl0_7),
% 197.54/28.27 inference(or_proxy_clausification,[],[f337])).
% 197.54/28.27 thf(f345,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_7),
% 197.54/28.27 inference(not_proxy_clausification,[],[f339])).
% 197.54/28.27 thf(f348,definition,(
% 197.54/28.27 spl0_19 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition])).
% 197.54/28.27 thf(f349,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_19),
% 197.54/28.27 inference(avatar_component_clause,[],[f348])).
% 197.54/28.27 thf(f350,plain,(
% 197.54/28.27 spl0_19 | ~spl0_7),
% 197.54/28.27 inference(avatar_split_clause,[],[f345,f192,f348])).
% 197.54/28.27 thf(f355,definition,(
% 197.54/28.27 spl0_20 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition])).
% 197.54/28.27 thf(f356,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_20),
% 197.54/28.27 inference(avatar_component_clause,[],[f355])).
% 197.54/28.27 thf(f358,definition,(
% 197.54/28.27 spl0_21 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition])).
% 197.54/28.27 thf(f359,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_21),
% 197.54/28.27 inference(avatar_component_clause,[],[f358])).
% 197.54/28.27 thf(f473,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (rel_s4 @ Y0 @ Y1)) => (rel_s4 @ Y0 @ Y2))))))) @ X1)) = $true)) ) | ~spl0_1),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f162])).
% 197.54/28.27 thf(f474,plain,(
% 197.54/28.27 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ Y1) & (rel_s4 @ X1 @ Y0)) => (rel_s4 @ X1 @ Y1))))))) = $true)) ) | ~spl0_1),
% 197.54/28.27 inference(beta-eta_normalization,[],[f473])).
% 197.54/28.27 thf(f500,plain,(
% 197.54/28.27 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ Y1) & (rel_s4 @ X1 @ Y0)) => (rel_s4 @ X1 @ Y1))))) @ X2)))) ) | ~spl0_1),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f474])).
% 197.54/28.27 thf(f501,plain,(
% 197.54/28.27 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ X2 @ Y0) & (rel_s4 @ X1 @ X2)) => (rel_s4 @ X1 @ Y0))))))) ) | ~spl0_1),
% 197.54/28.27 inference(beta-eta_normalization,[],[f500])).
% 197.54/28.27 thf(f513,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((^[Y0 : $i]: (((rel_s4 @ X2 @ Y0) & (rel_s4 @ X1 @ X2)) => (rel_s4 @ X1 @ Y0))) @ X3)) = $true)) ) | ~spl0_1),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f501])).
% 197.54/28.27 thf(f514,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((((rel_s4 @ X2 @ X3) & (rel_s4 @ X1 @ X2)) => (rel_s4 @ X1 @ X3))))) ) | ~spl0_1),
% 197.54/28.27 inference(beta-eta_normalization,[],[f513])).
% 197.54/28.27 thf(f515,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((rel_s4 @ X1 @ X3))) | ($false = (((rel_s4 @ X2 @ X3) & (rel_s4 @ X1 @ X2))))) ) | ~spl0_1),
% 197.54/28.27 inference(imp_proxy_clausification,[],[f514])).
% 197.54/28.27 thf(f516,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((rel_s4 @ X1 @ X3))) | (((rel_s4 @ X1 @ X2)) = $false) | ($false = ((rel_s4 @ X2 @ X3)))) ) | ~spl0_1),
% 197.54/28.27 inference(and_proxy_clausification,[],[f515])).
% 197.54/28.27 thf(f521,plain,(
% 197.54/28.27 ( ! [X1 : mu] : (((((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y1 @ Y2) & (exists_in_world @ Y0 @ Y1)) => (exists_in_world @ Y0 @ Y2))))))) @ X1)) = $true)) ) | ~spl0_5),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f179])).
% 197.54/28.27 thf(f522,plain,(
% 197.54/28.27 ( ! [X1 : mu] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ Y1) & (exists_in_world @ X1 @ Y0)) => (exists_in_world @ X1 @ Y1))))))))) ) | ~spl0_5),
% 197.54/28.27 inference(beta-eta_normalization,[],[f521])).
% 197.54/28.27 thf(f523,plain,(
% 197.54/28.27 ( ! [X2 : $i,X1 : mu] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y0 @ Y1) & (exists_in_world @ X1 @ Y0)) => (exists_in_world @ X1 @ Y1))))) @ X2)))) ) | ~spl0_5),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f522])).
% 197.54/28.27 thf(f524,plain,(
% 197.54/28.27 ( ! [X2 : $i,X1 : mu] : ((((!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ X2 @ Y0) & (exists_in_world @ X1 @ X2)) => (exists_in_world @ X1 @ Y0))))) = $true)) ) | ~spl0_5),
% 197.54/28.27 inference(beta-eta_normalization,[],[f523])).
% 197.54/28.27 thf(f561,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : mu] : (($true = (((^[Y0 : $i]: (((rel_s4 @ X2 @ Y0) & (exists_in_world @ X1 @ X2)) => (exists_in_world @ X1 @ Y0))) @ X3)))) ) | ~spl0_5),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f524])).
% 197.54/28.27 thf(f562,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : mu] : (($true = ((((rel_s4 @ X2 @ X3) & (exists_in_world @ X1 @ X2)) => (exists_in_world @ X1 @ X3))))) ) | ~spl0_5),
% 197.54/28.27 inference(beta-eta_normalization,[],[f561])).
% 197.54/28.27 thf(f563,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : mu] : ((((exists_in_world @ X1 @ X3)) = $true) | ($false = (((rel_s4 @ X2 @ X3) & (exists_in_world @ X1 @ X2))))) ) | ~spl0_5),
% 197.54/28.27 inference(imp_proxy_clausification,[],[f562])).
% 197.54/28.27 thf(f564,plain,(
% 197.54/28.27 ( ! [X2 : $i,X3 : $i,X1 : mu] : (($false = ((exists_in_world @ X1 @ X2))) | ($false = ((rel_s4 @ X2 @ X3))) | (((exists_in_world @ X1 @ X3)) = $true)) ) | ~spl0_5),
% 197.54/28.27 inference(and_proxy_clausification,[],[f563])).
% 197.54/28.27 thf(f566,plain,(
% 197.54/28.27 ( ! [X0 : $i] : (($false = ((rel_s4 @ sK4 @ X0))) | ($false = $true) | (((exists_in_world @ sK7 @ X0)) = $true)) ) | (~spl0_5 | ~spl0_15)),
% 197.54/28.27 inference(constrained_superposition,[],[f564,f319])).
% 197.54/28.27 thf(f572,plain,(
% 197.54/28.27 ( ! [X0 : $i] : (($false = ((rel_s4 @ sK4 @ X0))) | (((exists_in_world @ sK7 @ X0)) = $true)) ) | (~spl0_5 | ~spl0_15)),
% 197.54/28.27 inference(trivial_inequality_removal,[],[f566])).
% 197.54/28.27 thf(f626,plain,(
% 197.54/28.27 ($false = (((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ sK11))) | ~spl0_16),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f327])).
% 197.54/28.27 thf(f629,plain,(
% 197.54/28.27 ($false = ((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK11 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))))) | (~ (rel_s4 @ sK4 @ sK11))))) | ~spl0_16),
% 197.54/28.27 inference(beta-eta_normalization,[],[f626])).
% 197.54/28.27 thf(f630,plain,(
% 197.54/28.27 ($false = ((~ (rel_s4 @ sK4 @ sK11)))) | ~spl0_16),
% 197.54/28.27 inference(or_proxy_clausification,[],[f629])).
% 197.54/28.27 thf(f631,plain,(
% 197.54/28.27 ($false = (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK11 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))))))) | ~spl0_16),
% 197.54/28.27 inference(or_proxy_clausification,[],[f629])).
% 197.54/28.27 thf(f632,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK4 @ sK11))) | ~spl0_16),
% 197.54/28.27 inference(not_proxy_clausification,[],[f630])).
% 197.54/28.27 thf(f633,plain,(
% 197.54/28.27 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK11 @ Y0)))))))) | ~spl0_16),
% 197.54/28.27 inference(or_proxy_clausification,[],[f631])).
% 197.54/28.27 thf(f634,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK11 @ Y0))))))) | ~spl0_16),
% 197.54/28.27 inference(or_proxy_clausification,[],[f631])).
% 197.54/28.27 thf(f636,definition,(
% 197.54/28.27 spl0_26 <=> ($true = ((rel_s4 @ sK4 @ sK11)))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition])).
% 197.54/28.27 thf(f637,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK4 @ sK11))) | ~spl0_26),
% 197.54/28.27 inference(avatar_component_clause,[],[f636])).
% 197.54/28.27 thf(f638,plain,(
% 197.54/28.27 spl0_26 | ~spl0_16),
% 197.54/28.27 inference(avatar_split_clause,[],[f632,f326,f636])).
% 197.54/28.27 thf(f640,definition,(
% 197.54/28.27 spl0_27 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK11 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition])).
% 197.54/28.27 thf(f641,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK11 @ Y0))))))) | ~spl0_27),
% 197.54/28.27 inference(avatar_component_clause,[],[f640])).
% 197.54/28.27 thf(f642,plain,(
% 197.54/28.27 spl0_27 | ~spl0_16),
% 197.54/28.27 inference(avatar_split_clause,[],[f634,f326,f640])).
% 197.54/28.27 thf(f643,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))))) | ~spl0_16),
% 197.54/28.27 inference(not_proxy_clausification,[],[f633])).
% 197.54/28.27 thf(f645,definition,(
% 197.54/28.27 spl0_28 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK11 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition])).
% 197.54/28.27 thf(f646,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))))) | ~spl0_28),
% 197.54/28.27 inference(avatar_component_clause,[],[f645])).
% 197.54/28.27 thf(f647,plain,(
% 197.54/28.27 spl0_28 | ~spl0_16),
% 197.54/28.27 inference(avatar_split_clause,[],[f643,f326,f645])).
% 197.54/28.27 thf(f652,plain,(
% 197.54/28.27 ($false = (((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ sK12))) | ~spl0_17),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f330])).
% 197.54/28.27 thf(f654,plain,(
% 197.54/28.27 ($false = ((((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK12 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0))))))) | (~ (rel_s4 @ sK4 @ sK12))))) | ~spl0_17),
% 197.54/28.27 inference(beta-eta_normalization,[],[f652])).
% 197.54/28.27 thf(f656,plain,(
% 197.54/28.27 ($false = ((~ (rel_s4 @ sK4 @ sK12)))) | ~spl0_17),
% 197.54/28.27 inference(or_proxy_clausification,[],[f654])).
% 197.54/28.27 thf(f657,plain,(
% 197.54/28.27 ($false = (((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK12 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0))))))))) | ~spl0_17),
% 197.54/28.27 inference(or_proxy_clausification,[],[f654])).
% 197.54/28.27 thf(f658,plain,(
% 197.54/28.27 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))))))) | ~spl0_17),
% 197.54/28.27 inference(or_proxy_clausification,[],[f657])).
% 197.54/28.27 thf(f659,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK12 @ Y0))))))) | ~spl0_17),
% 197.54/28.27 inference(or_proxy_clausification,[],[f657])).
% 197.54/28.27 thf(f660,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK4 @ sK12))) | ~spl0_17),
% 197.54/28.27 inference(not_proxy_clausification,[],[f656])).
% 197.54/28.27 thf(f662,definition,(
% 197.54/28.27 spl0_29 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK12 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition])).
% 197.54/28.27 thf(f663,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ sK7 @ Y0) | (~ (rel_s4 @ sK12 @ Y0))))))) | ~spl0_29),
% 197.54/28.27 inference(avatar_component_clause,[],[f662])).
% 197.54/28.27 thf(f664,plain,(
% 197.54/28.27 spl0_29 | ~spl0_17),
% 197.54/28.27 inference(avatar_split_clause,[],[f659,f329,f662])).
% 197.54/28.27 thf(f665,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0))))))) | ~spl0_17),
% 197.54/28.27 inference(not_proxy_clausification,[],[f658])).
% 197.54/28.27 thf(f667,definition,(
% 197.54/28.27 spl0_30 <=> ($true = ((rel_s4 @ sK4 @ sK12)))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition])).
% 197.54/28.27 thf(f668,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK4 @ sK12))) | ~spl0_30),
% 197.54/28.27 inference(avatar_component_clause,[],[f667])).
% 197.54/28.27 thf(f669,plain,(
% 197.54/28.27 spl0_30 | ~spl0_17),
% 197.54/28.27 inference(avatar_split_clause,[],[f660,f329,f667])).
% 197.54/28.27 thf(f671,definition,(
% 197.54/28.27 spl0_31 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition])).
% 197.54/28.27 thf(f672,plain,(
% 197.54/28.27 ($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0))))))) | ~spl0_31),
% 197.54/28.27 inference(avatar_component_clause,[],[f671])).
% 197.54/28.27 thf(f673,plain,(
% 197.54/28.27 spl0_31 | ~spl0_17),
% 197.54/28.27 inference(avatar_split_clause,[],[f665,f329,f671])).
% 197.54/28.27 thf(f721,plain,(
% 197.54/28.27 (((exists_in_world @ sK7 @ sK11)) = $true) | ($false = $true) | (~spl0_5 | ~spl0_15 | ~spl0_26)),
% 197.54/28.27 inference(constrained_superposition,[],[f572,f637])).
% 197.54/28.27 thf(f722,plain,(
% 197.54/28.27 (((exists_in_world @ sK7 @ sK11)) = $true) | (~spl0_5 | ~spl0_15 | ~spl0_26)),
% 197.54/28.27 inference(trivial_inequality_removal,[],[f721])).
% 197.54/28.27 thf(f725,definition,(
% 197.54/28.27 spl0_32 <=> (((exists_in_world @ sK7 @ sK11)) = $true)),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition])).
% 197.54/28.27 thf(f727,plain,(
% 197.54/28.27 spl0_32 | ~spl0_5 | ~spl0_15 | ~spl0_26),
% 197.54/28.27 inference(avatar_split_clause,[],[f722,f636,f318,f178,f725])).
% 197.54/28.27 thf(f746,plain,(
% 197.54/28.27 ($true = ((exists_in_world @ sK7 @ sK12))) | ($false = $true) | (~spl0_5 | ~spl0_15 | ~spl0_30)),
% 197.54/28.27 inference(constrained_superposition,[],[f668,f572])).
% 197.54/28.27 thf(f748,plain,(
% 197.54/28.27 ($true = ((exists_in_world @ sK7 @ sK12))) | (~spl0_5 | ~spl0_15 | ~spl0_30)),
% 197.54/28.27 inference(trivial_inequality_removal,[],[f746])).
% 197.54/28.27 thf(f751,definition,(
% 197.54/28.27 spl0_33 <=> ($true = ((exists_in_world @ sK7 @ sK12)))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition])).
% 197.54/28.27 thf(f753,plain,(
% 197.54/28.27 spl0_33 | ~spl0_5 | ~spl0_15 | ~spl0_30),
% 197.54/28.27 inference(avatar_split_clause,[],[f748,f667,f318,f178,f751])).
% 197.54/28.27 thf(f802,plain,(
% 197.54/28.27 ($false = (((^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (!! @ $i @ (^[Y6 : $i]: ((big_p @ Y5 @ Y6) | (~ (rel_s4 @ Y4 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK1 @ Y0)))) @ sK8))) | ~spl0_7),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f193])).
% 197.54/28.27 thf(f804,plain,(
% 197.54/28.27 ($false = ((((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (rel_s4 @ sK1 @ sK8))))) | ~spl0_7),
% 197.54/28.27 inference(beta-eta_normalization,[],[f802])).
% 197.54/28.27 thf(f807,plain,(
% 197.54/28.27 ($false = (((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))))) | ~spl0_7),
% 197.54/28.27 inference(or_proxy_clausification,[],[f804])).
% 197.54/28.27 thf(f810,plain,(
% 197.54/28.27 ($false = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))))) | ~spl0_7),
% 197.54/28.27 inference(or_proxy_clausification,[],[f807])).
% 197.54/28.27 thf(f812,plain,(
% 197.54/28.27 ((((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) = $true) | ~spl0_7),
% 197.54/28.27 inference(not_proxy_clausification,[],[f810])).
% 197.54/28.27 thf(f813,plain,(
% 197.54/28.27 (((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | ~spl0_7),
% 197.54/28.27 inference(or_proxy_clausification,[],[f812])).
% 197.54/28.27 thf(f814,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))))))) | ~spl0_7),
% 197.54/28.27 inference(not_proxy_clausification,[],[f813])).
% 197.54/28.27 thf(f815,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | ~spl0_7),
% 197.54/28.27 inference(not_proxy_clausification,[],[f814])).
% 197.54/28.27 thf(f816,plain,(
% 197.54/28.27 spl0_21 | spl0_20 | ~spl0_7),
% 197.54/28.27 inference(avatar_split_clause,[],[f815,f192,f355,f358])).
% 197.54/28.27 thf(f817,plain,(
% 197.54/28.27 ((((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ sK14)) = $false) | ~spl0_20),
% 197.54/28.27 inference(sigma_proxy_clausification,[],[f356])).
% 197.54/28.27 thf(f819,plain,(
% 197.54/28.27 ($false = ((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK14 @ Y0))))) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK14) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK14 @ Y1)))))))))) | (~ (rel_s4 @ sK8 @ sK14))))) | ~spl0_20),
% 197.54/28.27 inference(beta-eta_normalization,[],[f817])).
% 197.54/28.27 thf(f821,plain,(
% 197.54/28.27 ($false = ((~ (rel_s4 @ sK8 @ sK14)))) | ~spl0_20),
% 197.54/28.27 inference(or_proxy_clausification,[],[f819])).
% 197.54/28.27 thf(f822,plain,(
% 197.54/28.27 ($false = (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK14 @ Y0))))) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK14) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK14 @ Y1)))))))))))) | ~spl0_20),
% 197.54/28.27 inference(or_proxy_clausification,[],[f819])).
% 197.54/28.27 thf(f823,plain,(
% 197.54/28.27 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK14) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK14 @ Y1)))))))))) = $false) | ~spl0_20),
% 197.54/28.27 inference(or_proxy_clausification,[],[f822])).
% 197.54/28.27 thf(f824,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK14 @ Y0))))))) | ~spl0_20),
% 197.54/28.27 inference(or_proxy_clausification,[],[f822])).
% 197.54/28.27 thf(f825,plain,(
% 197.54/28.27 ($true = ((rel_s4 @ sK8 @ sK14))) | ~spl0_20),
% 197.54/28.27 inference(not_proxy_clausification,[],[f821])).
% 197.54/28.27 thf(f827,definition,(
% 197.54/28.27 spl0_34 <=> (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK14) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK14 @ Y1)))))))))) = $false)),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition])).
% 197.54/28.27 thf(f828,plain,(
% 197.54/28.27 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK14) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK14 @ Y1)))))))))) = $false) | ~spl0_34),
% 197.54/28.27 inference(avatar_component_clause,[],[f827])).
% 197.54/28.27 thf(f829,plain,(
% 197.54/28.27 spl0_34 | ~spl0_20),
% 197.54/28.27 inference(avatar_split_clause,[],[f823,f355,f827])).
% 197.54/28.27 thf(f831,definition,(
% 197.54/28.27 spl0_35 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK14 @ Y0)))))))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition])).
% 197.54/28.27 thf(f832,plain,(
% 197.54/28.27 ($false = ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK14 @ Y0))))))) | ~spl0_35),
% 197.54/28.27 inference(avatar_component_clause,[],[f831])).
% 197.54/28.27 thf(f833,plain,(
% 197.54/28.27 spl0_35 | ~spl0_20),
% 197.54/28.27 inference(avatar_split_clause,[],[f824,f355,f831])).
% 197.54/28.27 thf(f835,definition,(
% 197.54/28.27 spl0_36 <=> ($true = ((rel_s4 @ sK8 @ sK14)))),
% 197.54/28.27 introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition])).
% 197.54/28.27 thf(f837,plain,(
% 197.54/28.27 spl0_36 | ~spl0_20),
% 197.54/28.27 inference(avatar_split_clause,[],[f825,f355,f835])).
% 197.54/28.27 thf(f838,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((big_p @ Y4 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ X1)))) ) | ~spl0_19),
% 197.54/28.27 inference(pi_proxy_clausification,[],[f349])).
% 197.54/28.27 thf(f839,plain,(
% 197.54/28.27 ( ! [X1 : $i] : (($true = (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1))))))))))) | (~ (rel_s4 @ sK8 @ X1)))))) ) | ~spl0_19),
% 197.54/28.27 inference(beta-eta_normalization,[],[f838])).
% 197.54/28.27 thf(f840,plain,(
% 197.54/28.27 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK8 @ X1))) = $true) | (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))))))))) = $true)) ) | ~spl0_19),
% 197.54/28.28 inference(or_proxy_clausification,[],[f839])).
% 197.54/28.28 thf(f841,plain,(
% 197.54/28.28 ( ! [X1 : $i] : ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))))))))) = $true) | ($false = ((rel_s4 @ sK8 @ X1)))) ) | ~spl0_19),
% 197.54/28.28 inference(not_proxy_clausification,[],[f840])).
% 197.54/28.28 thf(f846,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($false = ((rel_s4 @ sK8 @ X1))) | ($true = (((^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((big_p @ Y3 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1)))))))))) @ X2)))) ) | ~spl0_19),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f841])).
% 197.54/28.28 thf(f847,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (((((exists_in_world @ X2 @ X1) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))))))))) = $true) | ($false = ((rel_s4 @ sK8 @ X1)))) ) | ~spl0_19),
% 197.54/28.28 inference(beta-eta_normalization,[],[f846])).
% 197.54/28.28 thf(f848,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : ((((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK8 @ X1))) | (((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0))))))))) = $true)) ) | ~spl0_19),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f847])).
% 197.54/28.28 thf(f849,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : ((((exists_in_world @ X2 @ X1)) = $false) | ($false = (((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0))))))))) | ($false = ((rel_s4 @ sK8 @ X1)))) ) | ~spl0_19),
% 197.54/28.28 inference(not_proxy_clausification,[],[f848])).
% 197.54/28.28 thf(f850,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($false = ((rel_s4 @ sK8 @ X1))) | ($false = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))))))) | (((exists_in_world @ X2 @ X1)) = $false)) ) | ~spl0_19),
% 197.54/28.28 inference(or_proxy_clausification,[],[f849])).
% 197.54/28.28 thf(f853,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))))) = $true) | (((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK8 @ X1)))) ) | ~spl0_19),
% 197.54/28.28 inference(not_proxy_clausification,[],[f850])).
% 197.54/28.28 thf(f876,plain,(
% 197.54/28.28 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ X2 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ X1 @ Y0)))) @ X3))) | (((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK8 @ X1)))) ) | ~spl0_19),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f853])).
% 197.54/28.28 thf(f877,plain,(
% 197.54/28.28 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK8 @ X1))) | ($true = ((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X3 @ Y0))))))) | (~ (rel_s4 @ X1 @ X3)))))) ) | ~spl0_19),
% 197.54/28.28 inference(beta-eta_normalization,[],[f876])).
% 197.54/28.28 thf(f878,plain,(
% 197.54/28.28 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($false = ((rel_s4 @ sK8 @ X1))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X3 @ Y0))))))))) | ($true = ((~ (rel_s4 @ X1 @ X3)))) | (((exists_in_world @ X2 @ X1)) = $false)) ) | ~spl0_19),
% 197.54/28.28 inference(or_proxy_clausification,[],[f877])).
% 197.54/28.28 thf(f879,plain,(
% 197.54/28.28 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((exists_in_world @ X2 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X3 @ Y0)))))) = $true) | ($true = ((~ (rel_s4 @ X1 @ X3)))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X3 @ Y0)))))))) | ($false = ((rel_s4 @ sK8 @ X1)))) ) | ~spl0_19),
% 197.54/28.28 inference(or_proxy_clausification,[],[f878])).
% 197.54/28.28 thf(f880,plain,(
% 197.54/28.28 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK8 @ X1))) | (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X3 @ Y0)))))) = $true) | ($false = ((rel_s4 @ X1 @ X3))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X3 @ Y0))))))))) ) | ~spl0_19),
% 197.54/28.28 inference(not_proxy_clausification,[],[f879])).
% 197.54/28.28 thf(f881,plain,(
% 197.54/28.28 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ X3 @ Y0)))))) = $true) | (((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK8 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X3 @ Y0))))))) | ($false = ((rel_s4 @ X1 @ X3)))) ) | ~spl0_19),
% 197.54/28.28 inference(not_proxy_clausification,[],[f880])).
% 197.54/28.28 thf(f951,plain,(
% 197.54/28.28 ($false = (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK14) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK14 @ Y1)))))))) @ (sK9 @ sK14)))) | ~spl0_34),
% 197.54/28.28 inference(sigma_proxy_clausification,[],[f828])).
% 197.54/28.28 thf(f959,plain,(
% 197.54/28.28 ($false = (((exists_in_world @ (sK9 @ sK14) @ sK14) => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK9 @ sK14) @ Y0) | (~ (rel_s4 @ sK14 @ Y0))))))))) | ~spl0_34),
% 197.54/28.28 inference(beta-eta_normalization,[],[f951])).
% 197.54/28.28 thf(f974,plain,(
% 197.54/28.28 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK9 @ sK14) @ Y0) | (~ (rel_s4 @ sK14 @ Y0)))))))) | ~spl0_34),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f959])).
% 197.54/28.28 thf(f975,plain,(
% 197.54/28.28 ($true = ((exists_in_world @ (sK9 @ sK14) @ sK14))) | ~spl0_34),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f959])).
% 197.54/28.28 thf(f978,plain,(
% 197.54/28.28 (((!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK9 @ sK14) @ Y0) | (~ (rel_s4 @ sK14 @ Y0)))))) = $true) | ~spl0_34),
% 197.54/28.28 inference(not_proxy_clausification,[],[f974])).
% 197.54/28.28 thf(f980,definition,(
% 197.54/28.28 spl0_41 <=> ($true = ((exists_in_world @ (sK9 @ sK14) @ sK14)))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition])).
% 197.54/28.28 thf(f981,plain,(
% 197.54/28.28 ($true = ((exists_in_world @ (sK9 @ sK14) @ sK14))) | ~spl0_41),
% 197.54/28.28 inference(avatar_component_clause,[],[f980])).
% 197.54/28.28 thf(f982,plain,(
% 197.54/28.28 spl0_41 | ~spl0_34),
% 197.54/28.28 inference(avatar_split_clause,[],[f975,f827,f980])).
% 197.54/28.28 thf(f984,definition,(
% 197.54/28.28 spl0_42 <=> (((!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK9 @ sK14) @ Y0) | (~ (rel_s4 @ sK14 @ Y0)))))) = $true)),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition])).
% 197.54/28.28 thf(f985,plain,(
% 197.54/28.28 (((!! @ $i @ (^[Y0 : $i]: ((big_p @ (sK9 @ sK14) @ Y0) | (~ (rel_s4 @ sK14 @ Y0)))))) = $true) | ~spl0_42),
% 197.54/28.28 inference(avatar_component_clause,[],[f984])).
% 197.54/28.28 thf(f986,plain,(
% 197.54/28.28 spl0_42 | ~spl0_34),
% 197.54/28.28 inference(avatar_split_clause,[],[f978,f827,f984])).
% 197.54/28.28 thf(f1003,definition,(
% 197.54/28.28 spl0_43 <=> ($false = ((rel_s4 @ sK2 @ sK11)))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition])).
% 197.54/28.28 thf(f1004,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK2 @ sK11))) | ~spl0_43),
% 197.54/28.28 inference(avatar_component_clause,[],[f1003])).
% 197.54/28.28 thf(f1009,definition,(
% 197.54/28.28 spl0_45 <=> ($false = ((exists_in_world @ sK7 @ sK11)))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition])).
% 197.54/28.28 thf(f1027,plain,(
% 197.54/28.28 ($false = (((^[Y0 : $i]: (((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ sK15))) | ~spl0_21),
% 197.54/28.28 inference(sigma_proxy_clausification,[],[f359])).
% 197.54/28.28 thf(f1029,plain,(
% 197.54/28.28 ($false = ((((~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0))))))) | (~ (rel_s4 @ sK8 @ sK15))))) | ~spl0_21),
% 197.54/28.28 inference(beta-eta_normalization,[],[f1027])).
% 197.54/28.28 thf(f1032,plain,(
% 197.54/28.28 ($false = (((~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0))))))))) | ~spl0_21),
% 197.54/28.28 inference(or_proxy_clausification,[],[f1029])).
% 197.54/28.28 thf(f1034,plain,(
% 197.54/28.28 (((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0))))))) = $false) | ~spl0_21),
% 197.54/28.28 inference(or_proxy_clausification,[],[f1032])).
% 197.54/28.28 thf(f1035,plain,(
% 197.54/28.28 ($false = ((~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1)))))))))))) | ~spl0_21),
% 197.54/28.28 inference(or_proxy_clausification,[],[f1032])).
% 197.54/28.28 thf(f1040,plain,(
% 197.54/28.28 (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0)))))) = $true) | ~spl0_21),
% 197.54/28.28 inference(not_proxy_clausification,[],[f1034])).
% 197.54/28.28 thf(f1041,plain,(
% 197.54/28.28 ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1))))))))))) | ~spl0_21),
% 197.54/28.28 inference(not_proxy_clausification,[],[f1035])).
% 197.54/28.28 thf(f1043,definition,(
% 197.54/28.28 spl0_50 <=> (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0)))))) = $true)),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition])).
% 197.54/28.28 thf(f1044,plain,(
% 197.54/28.28 (((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0)))))) = $true) | ~spl0_50),
% 197.54/28.28 inference(avatar_component_clause,[],[f1043])).
% 197.54/28.28 thf(f1045,plain,(
% 197.54/28.28 spl0_50 | ~spl0_21),
% 197.54/28.28 inference(avatar_split_clause,[],[f1040,f358,f1043])).
% 197.54/28.28 thf(f1047,definition,(
% 197.54/28.28 spl0_51 <=> ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1)))))))))))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition])).
% 197.54/28.28 thf(f1048,plain,(
% 197.54/28.28 ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1))))))))))) | ~spl0_51),
% 197.54/28.28 inference(avatar_component_clause,[],[f1047])).
% 197.54/28.28 thf(f1049,plain,(
% 197.54/28.28 spl0_51 | ~spl0_21),
% 197.54/28.28 inference(avatar_split_clause,[],[f1041,f358,f1047])).
% 197.54/28.28 thf(f1052,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (($true = (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK15) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK15 @ Y1)))))))) @ X1)))) ) | ~spl0_51),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f1048])).
% 197.54/28.28 thf(f1058,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (($true = (((exists_in_world @ X1 @ sK15) => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK15 @ Y0)))))))))) ) | ~spl0_51),
% 197.54/28.28 inference(beta-eta_normalization,[],[f1052])).
% 197.54/28.28 thf(f1069,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (($false = ((exists_in_world @ X1 @ sK15))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK15 @ Y0))))))))) ) | ~spl0_51),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f1058])).
% 197.54/28.28 thf(f1076,plain,(
% 197.54/28.28 ( ! [X1 : mu] : ((((!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK15 @ Y0)))))) = $false) | ($false = ((exists_in_world @ X1 @ sK15)))) ) | ~spl0_51),
% 197.54/28.28 inference(not_proxy_clausification,[],[f1069])).
% 197.54/28.28 thf(f1095,definition,(
% 197.54/28.28 spl0_56 <=> ! [X0 : mu,X1 : mu] : ((((exists_in_world @ X0 @ sK15)) = $false) | ($false = ((exists_in_world @ X1 @ sK15))) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X0))))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition])).
% 197.54/28.28 thf(f1096,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : mu] : (($false = ((exists_in_world @ X1 @ sK15))) | (((exists_in_world @ X0 @ sK15)) = $false) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X0)))) ) | ~spl0_56),
% 197.54/28.28 inference(avatar_component_clause,[],[f1095])).
% 197.54/28.28 thf(f1185,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : $i] : (($false = ((rel_s4 @ sK8 @ X1))) | (((!! @ $i @ (^[Y0 : $i]: ((big_p @ X0 @ Y0) | (~ (rel_s4 @ sK14 @ Y0)))))) = $false) | ($false = $true) | (((rel_s4 @ X1 @ sK14)) = $false) | (((exists_in_world @ X0 @ X1)) = $false)) ) | (~spl0_19 | ~spl0_35)),
% 197.54/28.28 inference(constrained_superposition,[],[f832,f881])).
% 197.54/28.28 thf(f1191,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((big_p @ X0 @ Y0) | (~ (rel_s4 @ sK14 @ Y0)))))) = $false) | ($false = ((rel_s4 @ sK8 @ X1))) | (((rel_s4 @ X1 @ sK14)) = $false) | (((exists_in_world @ X0 @ X1)) = $false)) ) | (~spl0_19 | ~spl0_35)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f1185])).
% 197.54/28.28 thf(f1212,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK15 @ Y0)))) @ X1)))) ) | ~spl0_50),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f1044])).
% 197.54/28.28 thf(f1220,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))) | (~ (rel_s4 @ sK15 @ X1)))))) ) | ~spl0_50),
% 197.54/28.28 inference(beta-eta_normalization,[],[f1212])).
% 197.54/28.28 thf(f1224,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = ((~ (rel_s4 @ sK15 @ X1)))) | ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))))))) ) | ~spl0_50),
% 197.54/28.28 inference(or_proxy_clausification,[],[f1220])).
% 197.54/28.28 thf(f1228,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))))) | ($false = ((rel_s4 @ sK15 @ X1)))) ) | ~spl0_50),
% 197.54/28.28 inference(not_proxy_clausification,[],[f1224])).
% 197.54/28.28 thf(f1235,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($true = (((^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))) @ X2))) | ($false = ((rel_s4 @ sK15 @ X1)))) ) | ~spl0_50),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f1228])).
% 197.54/28.28 thf(f1240,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($false = ((rel_s4 @ sK15 @ X1))) | ($true = (((exists_in_world @ X2 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))))) ) | ~spl0_50),
% 197.54/28.28 inference(beta-eta_normalization,[],[f1235])).
% 197.54/28.28 thf(f1241,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))) | (((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK15 @ X1)))) ) | ~spl0_50),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f1240])).
% 197.54/28.28 thf(f1250,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : mu] : ((((exists_in_world @ X0 @ sK15)) = $false) | ($false = ((exists_in_world @ X1 @ sK15))) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X0))) | ($false = ((rel_s4 @ sK15 @ sK15))) | ($false = $true)) ) | (~spl0_50 | ~spl0_51)),
% 197.54/28.28 inference(constrained_superposition,[],[f1076,f1241])).
% 197.54/28.28 thf(f1251,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : mu] : (($false = ((rel_s4 @ sK15 @ sK15))) | ($false = ((exists_in_world @ X1 @ sK15))) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X0))) | (((exists_in_world @ X0 @ sK15)) = $false)) ) | (~spl0_50 | ~spl0_51)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f1250])).
% 197.54/28.28 thf(f1260,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : mu] : (($false = ((exists_in_world @ X1 @ sK15))) | (((exists_in_world @ X0 @ sK15)) = $false) | ($false = $true) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X0)))) ) | (~spl0_2 | ~spl0_50 | ~spl0_51)),
% 197.54/28.28 inference(forward_demodulation,[],[f1251,f226])).
% 197.54/28.28 thf(f1261,plain,(
% 197.54/28.28 ( ! [X0 : mu,X1 : mu] : ((((exists_in_world @ X0 @ sK15)) = $false) | ((^[Y0 : $i]: (X1)) != (^[Y0 : $i]: (X0))) | ($false = ((exists_in_world @ X1 @ sK15)))) ) | (~spl0_2 | ~spl0_50 | ~spl0_51)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f1260])).
% 197.54/28.28 thf(f1265,plain,(
% 197.54/28.28 spl0_56 | ~spl0_2 | ~spl0_50 | ~spl0_51),
% 197.54/28.28 inference(avatar_split_clause,[],[f1261,f1047,f1043,f166,f1095])).
% 197.54/28.28 thf(f1823,plain,(
% 197.54/28.28 ( ! [X0 : mu] : ((((exists_in_world @ X0 @ sK15)) = $false) | ((^[Y0 : $i]: (X0)) != (^[Y0 : $i]: (X0))) | ($false != $false)) ) | ~spl0_56),
% 197.54/28.28 inference(equality_factoring,[],[f1096])).
% 197.54/28.28 thf(f1831,plain,(
% 197.54/28.28 ( ! [X0 : mu] : ((((exists_in_world @ X0 @ sK15)) = $false)) ) | ~spl0_56),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f1823])).
% 197.54/28.28 thf(f1848,plain,(
% 197.54/28.28 ($false = $true) | (~spl0_4 | ~spl0_56)),
% 197.54/28.28 inference(constrained_superposition,[],[f1831,f248])).
% 197.54/28.28 thf(f1874,plain,(
% 197.54/28.28 $false | (~spl0_4 | ~spl0_56)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f1848])).
% 197.54/28.28 thf(f1875,plain,(
% 197.54/28.28 ~spl0_4 | ~spl0_56),
% 197.54/28.28 inference(avatar_contradiction_clause,[],[f1874])).
% 197.54/28.28 thf(f1930,definition,(
% 197.54/28.28 spl0_88 <=> ! [X4 : $i] : (($false = ((rel_s4 @ X4 @ sK14))) | (((exists_in_world @ (sK9 @ sK14) @ X4)) = $false) | ($false = ((rel_s4 @ sK8 @ X4))))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition])).
% 197.54/28.28 thf(f1931,plain,(
% 197.54/28.28 ( ! [X4 : $i] : ((((exists_in_world @ (sK9 @ sK14) @ X4)) = $false) | ($false = ((rel_s4 @ sK8 @ X4))) | ($false = ((rel_s4 @ X4 @ sK14)))) ) | ~spl0_88),
% 197.54/28.28 inference(avatar_component_clause,[],[f1930])).
% 197.54/28.28 thf(f1970,plain,(
% 197.54/28.28 ( ! [X0 : $i] : ((((exists_in_world @ (sK9 @ sK14) @ X0)) = $false) | ($false = ((rel_s4 @ X0 @ sK14))) | ($false = $true) | ($false = ((rel_s4 @ sK8 @ X0)))) ) | (~spl0_19 | ~spl0_35 | ~spl0_42)),
% 197.54/28.28 inference(constrained_superposition,[],[f1191,f985])).
% 197.54/28.28 thf(f1987,plain,(
% 197.54/28.28 ( ! [X0 : $i] : (($false = ((rel_s4 @ sK8 @ X0))) | (((exists_in_world @ (sK9 @ sK14) @ X0)) = $false) | ($false = ((rel_s4 @ X0 @ sK14)))) ) | (~spl0_19 | ~spl0_35 | ~spl0_42)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f1970])).
% 197.54/28.28 thf(f2016,plain,(
% 197.54/28.28 spl0_88 | ~spl0_19 | ~spl0_35 | ~spl0_42),
% 197.54/28.28 inference(avatar_split_clause,[],[f1987,f984,f831,f348,f1930])).
% 197.54/28.28 thf(f3438,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK8 @ sK14))) | ($false = $true) | ($false = ((rel_s4 @ sK14 @ sK14))) | (~spl0_41 | ~spl0_88)),
% 197.54/28.28 inference(constrained_superposition,[],[f1931,f981])).
% 197.54/28.28 thf(f3443,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK14 @ sK14))) | ($false = ((rel_s4 @ sK8 @ sK14))) | (~spl0_41 | ~spl0_88)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f3438])).
% 197.54/28.28 thf(f3447,plain,(
% 197.54/28.28 ($false = $true) | ($false = ((rel_s4 @ sK8 @ sK14))) | (~spl0_2 | ~spl0_41 | ~spl0_88)),
% 197.54/28.28 inference(forward_demodulation,[],[f3443,f226])).
% 197.54/28.28 thf(f3448,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK8 @ sK14))) | (~spl0_2 | ~spl0_41 | ~spl0_88)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f3447])).
% 197.54/28.28 thf(f3452,definition,(
% 197.54/28.28 spl0_159 <=> ($false = ((rel_s4 @ sK8 @ sK14)))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition])).
% 197.54/28.28 thf(f3454,plain,(
% 197.54/28.28 spl0_159 | ~spl0_2 | ~spl0_41 | ~spl0_88),
% 197.54/28.28 inference(avatar_split_clause,[],[f3448,f1930,f980,f166,f3452])).
% 197.54/28.28 thf(f3455,definition,(
% 197.54/28.28 ($true != ((rel_s4 @ sK8 @ sK14))) | ($false != ((rel_s4 @ sK8 @ sK14))) | ($false = $true)),
% 197.54/28.28 introduced(theory,[theory_tautology_sat_conflict])).
% 197.54/28.28 thf(f3857,plain,(
% 197.54/28.28 ((((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) = $true) | ~spl0_13),
% 197.54/28.28 inference(not_proxy_clausification,[],[f315])).
% 197.54/28.28 thf(f4015,plain,(
% 197.54/28.28 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ~spl0_13),
% 197.54/28.28 inference(or_proxy_clausification,[],[f3857])).
% 197.54/28.28 thf(f4095,plain,(
% 197.54/28.28 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_13),
% 197.54/28.28 inference(not_proxy_clausification,[],[f4015])).
% 197.54/28.28 thf(f4139,plain,(
% 197.54/28.28 ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((big_p @ Y2 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ sK7 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_13),
% 197.54/28.28 inference(not_proxy_clausification,[],[f4095])).
% 197.54/28.28 thf(f4157,plain,(
% 197.54/28.28 spl0_17 | spl0_16 | ~spl0_13),
% 197.54/28.28 inference(avatar_split_clause,[],[f4139,f260,f326,f329])).
% 197.54/28.28 thf(f7896,definition,(
% 197.54/28.28 spl0_307 <=> ($false = ((rel_s4 @ sK4 @ sK11)))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition])).
% 197.54/28.28 thf(f7972,plain,(
% 197.54/28.28 ($false = $true) | ($false = ((rel_s4 @ sK2 @ sK11))) | (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK11) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK11 @ Y1)))))))))) = $true) | (~spl0_11 | ~spl0_27)),
% 197.54/28.28 inference(constrained_superposition,[],[f641,f246])).
% 197.54/28.28 thf(f7977,plain,(
% 197.54/28.28 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK11) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK11 @ Y1)))))))))) = $true) | ($false = ((rel_s4 @ sK2 @ sK11))) | (~spl0_11 | ~spl0_27)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f7972])).
% 197.54/28.28 thf(f7980,definition,(
% 197.54/28.28 spl0_313 <=> (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK11) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK11 @ Y1)))))))))) = $true)),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition])).
% 197.54/28.28 thf(f7981,plain,(
% 197.54/28.28 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK11) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK11 @ Y1)))))))))) = $true) | ~spl0_313),
% 197.54/28.28 inference(avatar_component_clause,[],[f7980])).
% 197.54/28.28 thf(f7985,plain,(
% 197.54/28.28 spl0_313 | spl0_43 | ~spl0_11 | ~spl0_27),
% 197.54/28.28 inference(avatar_split_clause,[],[f7977,f640,f218,f1003,f7980])).
% 197.54/28.28 thf(f7995,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((big_p @ Y1 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK12 @ Y0)))) @ X1)))) ) | ~spl0_31),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f672])).
% 197.54/28.28 thf(f7999,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))) | (~ (rel_s4 @ sK12 @ X1)))))) ) | ~spl0_31),
% 197.54/28.28 inference(beta-eta_normalization,[],[f7995])).
% 197.54/28.28 thf(f8005,plain,(
% 197.54/28.28 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK12 @ X1))) = $true) | ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))))))) ) | ~spl0_31),
% 197.54/28.28 inference(or_proxy_clausification,[],[f7999])).
% 197.54/28.28 thf(f8007,plain,(
% 197.54/28.28 ( ! [X1 : $i] : (($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))))) | ($false = ((rel_s4 @ sK12 @ X1)))) ) | ~spl0_31),
% 197.54/28.28 inference(not_proxy_clausification,[],[f8005])).
% 197.54/28.28 thf(f8010,plain,(
% 197.54/28.28 ( ! [X0 : $i] : (($false = $true) | ($false = ((rel_s4 @ X0 @ sK11))) | ($false = ((rel_s4 @ sK2 @ X0)))) ) | (~spl0_1 | ~spl0_43)),
% 197.54/28.28 inference(constrained_superposition,[],[f516,f1004])).
% 197.54/28.28 thf(f8011,plain,(
% 197.54/28.28 ( ! [X0 : $i] : (($false = ((rel_s4 @ sK2 @ X0))) | ($false = ((rel_s4 @ X0 @ sK11)))) ) | (~spl0_1 | ~spl0_43)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f8010])).
% 197.54/28.28 thf(f8014,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($true = (((^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ X1 @ Y1))))))) @ X2))) | ($false = ((rel_s4 @ sK12 @ X1)))) ) | ~spl0_31),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f8007])).
% 197.54/28.28 thf(f8022,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($false = ((rel_s4 @ sK12 @ X1))) | ($true = (((exists_in_world @ X2 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))))) ) | ~spl0_31),
% 197.54/28.28 inference(beta-eta_normalization,[],[f8014])).
% 197.54/28.28 thf(f8028,plain,(
% 197.54/28.28 ( ! [X2 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ X2 @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))) | (((exists_in_world @ X2 @ X1)) = $false) | ($false = ((rel_s4 @ sK12 @ X1)))) ) | ~spl0_31),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f8022])).
% 197.54/28.28 thf(f8053,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK12 @ sK12))) | ($false = ((exists_in_world @ sK7 @ sK12))) | ($false = $true) | (~spl0_29 | ~spl0_31)),
% 197.54/28.28 inference(constrained_superposition,[],[f663,f8028])).
% 197.54/28.28 thf(f8071,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK12 @ sK12))) | ($false = ((exists_in_world @ sK7 @ sK12))) | (~spl0_29 | ~spl0_31)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f8053])).
% 197.54/28.28 thf(f8075,plain,(
% 197.54/28.28 ($false = $true) | ($false = ((exists_in_world @ sK7 @ sK12))) | (~spl0_2 | ~spl0_29 | ~spl0_31)),
% 197.54/28.28 inference(forward_demodulation,[],[f8071,f226])).
% 197.54/28.28 thf(f8076,plain,(
% 197.54/28.28 ($false = ((exists_in_world @ sK7 @ sK12))) | (~spl0_2 | ~spl0_29 | ~spl0_31)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f8075])).
% 197.54/28.28 thf(f8081,definition,(
% 197.54/28.28 spl0_318 <=> ($false = ((exists_in_world @ sK7 @ sK12)))),
% 197.54/28.28 introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition])).
% 197.54/28.28 thf(f8083,plain,(
% 197.54/28.28 spl0_318 | ~spl0_2 | ~spl0_29 | ~spl0_31),
% 197.54/28.28 inference(avatar_split_clause,[],[f8076,f671,f662,f166,f8081])).
% 197.54/28.28 thf(f8085,definition,(
% 197.54/28.28 ($true != ((exists_in_world @ sK7 @ sK12))) | ($false != ((exists_in_world @ sK7 @ sK12))) | ($false = $true)),
% 197.54/28.28 introduced(theory,[theory_tautology_sat_conflict])).
% 197.54/28.28 thf(f8086,definition,(
% 197.54/28.28 ($false != ((exists_in_world @ sK7 @ sK11))) | (((exists_in_world @ sK7 @ sK11)) != $true) | ($false = $true)),
% 197.54/28.28 introduced(theory,[theory_tautology_sat_conflict])).
% 197.54/28.28 thf(f8087,definition,(
% 197.54/28.28 ($false != ((rel_s4 @ sK4 @ sK11))) | ($true != ((rel_s4 @ sK4 @ sK11))) | ($false = $true)),
% 197.54/28.28 introduced(theory,[theory_tautology_sat_conflict])).
% 197.54/28.28 thf(f9462,plain,(
% 197.54/28.28 ($false = $true) | ($false = ((rel_s4 @ sK4 @ sK11))) | (~spl0_1 | ~spl0_14 | ~spl0_43)),
% 197.54/28.28 inference(constrained_superposition,[],[f266,f8011])).
% 197.54/28.28 thf(f9470,plain,(
% 197.54/28.28 ($false = ((rel_s4 @ sK4 @ sK11))) | (~spl0_1 | ~spl0_14 | ~spl0_43)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f9462])).
% 197.54/28.28 thf(f9494,plain,(
% 197.54/28.28 spl0_307 | ~spl0_1 | ~spl0_14 | ~spl0_43),
% 197.54/28.28 inference(avatar_split_clause,[],[f9470,f1003,f265,f161,f7896])).
% 197.54/28.28 thf(f20787,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (((((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK11) => (~ (!! @ $i @ (^[Y1 : $i]: ((big_p @ Y0 @ Y1) | (~ (rel_s4 @ sK11 @ Y1)))))))) @ X1)) = $true)) ) | ~spl0_313),
% 197.54/28.28 inference(pi_proxy_clausification,[],[f7981])).
% 197.54/28.28 thf(f20828,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (($true = (((exists_in_world @ X1 @ sK11) => (~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK11 @ Y0)))))))))) ) | ~spl0_313),
% 197.54/28.28 inference(beta-eta_normalization,[],[f20787])).
% 197.54/28.28 thf(f20885,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK11 @ Y0)))))))) | ($false = ((exists_in_world @ X1 @ sK11)))) ) | ~spl0_313),
% 197.54/28.28 inference(imp_proxy_clausification,[],[f20828])).
% 197.54/28.28 thf(f20929,plain,(
% 197.54/28.28 ( ! [X1 : mu] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((big_p @ X1 @ Y0) | (~ (rel_s4 @ sK11 @ Y0))))))) | ($false = ((exists_in_world @ X1 @ sK11)))) ) | ~spl0_313),
% 197.54/28.28 inference(not_proxy_clausification,[],[f20885])).
% 197.54/28.28 thf(f20971,plain,(
% 197.54/28.28 ($false = ((exists_in_world @ sK7 @ sK11))) | ($false = $true) | (~spl0_28 | ~spl0_313)),
% 197.54/28.28 inference(constrained_superposition,[],[f646,f20929])).
% 197.54/28.28 thf(f20979,plain,(
% 197.54/28.28 ($false = ((exists_in_world @ sK7 @ sK11))) | (~spl0_28 | ~spl0_313)),
% 197.54/28.28 inference(trivial_inequality_removal,[],[f20971])).
% 197.54/28.28 thf(f21039,plain,(
% 197.54/28.28 spl0_45 | ~spl0_28 | ~spl0_313),
% 197.54/28.28 inference(avatar_split_clause,[],[f20979,f7980,f645,f1009])).
% 197.54/28.28 cnf(s1, plain, spl0_1, inference(sat_conversion,[],[f163])).
% 197.54/28.28 cnf(s2, plain, spl0_2, inference(sat_conversion,[],[f168])).
% 197.54/28.28 cnf(s3, plain, ~spl0_3, inference(sat_conversion,[],[f172])).
% 197.54/28.28 cnf(s4, plain, spl0_4, inference(sat_conversion,[],[f176])).
% 197.54/28.28 cnf(s5, plain, spl0_5, inference(sat_conversion,[],[f180])).
% 197.54/28.28 cnf(s6, plain, spl0_6, inference(sat_conversion,[],[f184])).
% 197.54/28.28 cnf(s7, plain, ~spl0_6 | spl0_7 | spl0_8, inference(sat_conversion,[],[f197])).
% 197.54/28.28 cnf(s8, plain, ~spl0_8 | spl0_9, inference(sat_conversion,[],[f210])).
% 197.54/28.28 cnf(s10, plain, ~spl0_8 | spl0_11, inference(sat_conversion,[],[f220])).
% 197.54/28.28 cnf(s12, plain, ~spl0_9 | spl0_13, inference(sat_conversion,[],[f262])).
% 197.54/28.28 cnf(s13, plain, ~spl0_9 | spl0_14, inference(sat_conversion,[],[f267])).
% 197.54/28.28 cnf(s14, plain, ~spl0_13 | spl0_15, inference(sat_conversion,[],[f320])).
% 197.54/28.28 cnf(s17, plain, ~spl0_7 | spl0_19, inference(sat_conversion,[],[f350])).
% 197.54/28.28 cnf(s43, plain, ~spl0_16 | spl0_26, inference(sat_conversion,[],[f638])).
% 197.54/28.28 cnf(s44, plain, ~spl0_16 | spl0_27, inference(sat_conversion,[],[f642])).
% 197.54/28.28 cnf(s45, plain, ~spl0_16 | spl0_28, inference(sat_conversion,[],[f647])).
% 197.54/28.28 cnf(s46, plain, ~spl0_17 | spl0_29, inference(sat_conversion,[],[f664])).
% 197.54/28.28 cnf(s47, plain, ~spl0_17 | spl0_30, inference(sat_conversion,[],[f669])).
% 197.54/28.28 cnf(s48, plain, ~spl0_17 | spl0_31, inference(sat_conversion,[],[f673])).
% 197.54/28.28 cnf(s65, plain, ~spl0_5 | ~spl0_15 | ~spl0_26 | spl0_32, inference(sat_conversion,[],[f727])).
% 197.54/28.28 cnf(s80, plain, ~spl0_5 | ~spl0_15 | ~spl0_30 | spl0_33, inference(sat_conversion,[],[f753])).
% 197.54/28.28 cnf(s101, plain, ~spl0_7 | spl0_20 | spl0_21, inference(sat_conversion,[],[f816])).
% 197.54/28.28 cnf(s102, plain, ~spl0_20 | spl0_34, inference(sat_conversion,[],[f829])).
% 197.54/28.28 cnf(s103, plain, ~spl0_20 | spl0_35, inference(sat_conversion,[],[f833])).
% 197.54/28.28 cnf(s104, plain, ~spl0_20 | spl0_36, inference(sat_conversion,[],[f837])).
% 197.54/28.28 cnf(s111, plain, ~spl0_34 | spl0_41, inference(sat_conversion,[],[f982])).
% 197.54/28.28 cnf(s112, plain, ~spl0_34 | spl0_42, inference(sat_conversion,[],[f986])).
% 197.54/28.28 cnf(s120, plain, ~spl0_21 | spl0_50, inference(sat_conversion,[],[f1045])).
% 197.54/28.28 cnf(s121, plain, ~spl0_21 | spl0_51, inference(sat_conversion,[],[f1049])).
% 197.54/28.28 cnf(s146, plain, ~spl0_2 | ~spl0_50 | ~spl0_51 | spl0_56, inference(sat_conversion,[],[f1265])).
% 197.54/28.28 cnf(s185, plain, ~spl0_4 | ~spl0_56, inference(sat_conversion,[],[f1875])).
% 197.54/28.28 cnf(s207, plain, ~spl0_19 | ~spl0_35 | ~spl0_42 | spl0_88, inference(sat_conversion,[],[f2016])).
% 197.54/28.28 cnf(s351, plain, ~spl0_2 | ~spl0_41 | ~spl0_88 | spl0_159, inference(sat_conversion,[],[f3454])).
% 197.54/28.28 cnf(s353, plain, spl0_3 | ~spl0_36 | ~spl0_159, inference(sat_conversion,[],[f3455])).
% 197.54/28.28 cnf(s543, plain, ~spl0_13 | spl0_16 | spl0_17, inference(sat_conversion,[],[f4157])).
% 197.54/28.28 cnf(s921, plain, ~spl0_11 | ~spl0_27 | spl0_43 | spl0_313, inference(sat_conversion,[],[f7985])).
% 197.54/28.28 cnf(s930, plain, ~spl0_2 | ~spl0_29 | ~spl0_31 | spl0_318, inference(sat_conversion,[],[f8083])).
% 197.54/28.28 cnf(s933, plain, spl0_3 | ~spl0_33 | ~spl0_318, inference(sat_conversion,[],[f8085])).
% 197.54/28.28 cnf(s934, plain, spl0_3 | ~spl0_32 | ~spl0_45, inference(sat_conversion,[],[f8086])).
% 197.54/28.28 cnf(s935, plain, spl0_3 | ~spl0_26 | ~spl0_307, inference(sat_conversion,[],[f8087])).
% 197.54/28.28 cnf(s1140, plain, ~spl0_1 | ~spl0_14 | ~spl0_43 | spl0_307, inference(sat_conversion,[],[f9494])).
% 197.54/28.28 cnf(s2515, plain, ~spl0_28 | spl0_45 | ~spl0_313, inference(sat_conversion,[],[f21039])).
% 197.54/28.28 cnf(s2546, plain, ~spl0_56, inference(rat,[],[s185,s4])).
% 197.54/28.28 cnf(s2547, plain, ~spl0_17 | ~spl0_15, inference(rat,[],[s933,s930,s80,s46,s47,s48,s3,s2,s5])).
% 197.54/28.28 cnf(s2548, plain, ~spl0_8, inference(rat,[],[s2515,s921,s934,s1140,s65,s935,s43,s44,s45,s543,s2547,s14,s12,s13,s8,s10,s3,s1,s5])).
% 197.54/28.28 cnf(s2549, plain, spl0_7, inference(rat,[],[s7,s6,s2548])).
% 197.54/28.28 cnf(s2550, plain, spl0_19, inference(rat,[],[s17,s2549])).
% 197.54/28.28 cnf(s2552, plain, ~spl0_21, inference(rat,[],[s146,s120,s121,s2,s2546])).
% 197.54/28.28 cnf(s2553, plain, spl0_20, inference(rat,[],[s101,s2549,s2552])).
% 197.54/28.28 cnf(s2554, plain, spl0_36, inference(rat,[],[s104,s2553])).
% 197.54/28.28 cnf(s2555, plain, spl0_35, inference(rat,[],[s103,s2553])).
% 197.54/28.28 cnf(s2556, plain, spl0_34, inference(rat,[],[s102,s2553])).
% 197.54/28.28 cnf(s2557, plain, ~spl0_159, inference(rat,[],[s353,s3,s2554])).
% 197.54/28.28 cnf(s2561, plain, spl0_42, inference(rat,[],[s112,s2556])).
% 197.54/28.28 cnf(s2562, plain, spl0_41, inference(rat,[],[s111,s2556])).
% 197.54/28.28 cnf(s2566, plain, spl0_88, inference(rat,[],[s207,s2555,s2550,s2561])).
% 197.54/28.28 cnf(s2567, plain, $false, inference(rat,[],[s351,s2557,s2,s2566,s2562])).
% 197.54/28.28 thf(f21096,plain,(
% 197.54/28.28 $false),
% 197.54/28.28 inference(avatar_sat_refutation,[],[s2567])).
% 197.54/28.28 % SZS output end Proof for theBenchmark
% 197.54/28.28 % (1445496)------------------------------
% 197.54/28.28 % (1445496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 197.54/28.28 % (1445496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.54/28.28 % (1445496)CaDiCaL version: 2.1.3
% 197.54/28.28 % (1445496)Termination reason: Refutation
% 197.54/28.28 % (1445496)Time elapsed: 3.836 s
% 197.54/28.28 % (1445496)Peak memory usage: 24 MB
% 197.54/28.28 % (1445496)Instructions burned: 8197 (million)
% 197.54/28.28 % (1444426)Success in time 27.99 s
% 197.54/28.28 % Vampire exiting
%------------------------------------------------------------------------------