%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PHI007^5 : TPTP v9.3.1. Released v6.4.0.
% 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 08:20:18 AM UTC 2026
% Result : ContradictoryAxioms 7.48s 1.40s
% Output : Refutation 7.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI007^5 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:26:05 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.37 % (1224382)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.37 % (1224391)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1112422495:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.37 % (1224393)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.37 % (1224393)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
% 0.22/0.37 % (1224387)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4290306184:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.37 % (1224389)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1022585359:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.37 % (1224388)lrs+10_16_si=on:nwc=1.5:random_seed=3529466011:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.37 % (1224390)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=127676679: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)
% 0.22/0.37 % (1224392)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1529448468:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.37 % (1224393)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=3863107174:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.37 % (1224391)Instruction limit reached!
% 0.22/0.37 % (1224391)------------------------------
% 0.22/0.37 % (1224391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (1224391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (1224391)CaDiCaL version: 2.1.3
% 0.22/0.37 % (1224391)Termination reason: Instruction limit
% 0.22/0.37 % (1224391)Termination phase: Saturation
% 0.22/0.37 % (1224391)Time elapsed: 0.008 s
% 0.22/0.37 % (1224391)Peak memory usage: 12 MB
% 0.22/0.37 % (1224391)Instructions burned: 24 (million)
% 0.22/0.37 % (1224389)Instruction limit reached!
% 0.22/0.37 % (1224389)------------------------------
% 0.22/0.37 % (1224389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (1224389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (1224389)CaDiCaL version: 2.1.3
% 0.22/0.37 % (1224389)Termination reason: Instruction limit
% 0.22/0.37 % (1224389)Termination phase: Saturation
% 0.22/0.37 % (1224389)Time elapsed: 0.003 s
% 0.22/0.37 % (1224389)Peak memory usage: 12 MB
% 0.22/0.37 % (1224389)Instructions burned: 4 (million)
% 0.22/0.37 % (1224388)Instruction limit reached!
% 0.22/0.37 % (1224388)------------------------------
% 0.22/0.37 % (1224388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (1224388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (1224388)CaDiCaL version: 2.1.3
% 0.22/0.37 % (1224388)Termination reason: Instruction limit
% 0.22/0.37 % (1224388)Termination phase: Saturation
% 0.22/0.37 % (1224388)Time elapsed: 0.010 s
% 0.22/0.37 % (1224388)Peak memory usage: 12 MB
% 0.22/0.37 % (1224388)Instructions burned: 18 (million)
% 0.22/0.37 % (1224401)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3907385150:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (1224401)Instruction limit reached!
% 0.22/0.37 % (1224401)------------------------------
% 0.22/0.37 % (1224401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (1224401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (1224401)CaDiCaL version: 2.1.3
% 0.22/0.37 % (1224401)Termination reason: Instruction limit
% 0.22/0.37 % (1224401)Termination phase: Saturation
% 0.22/0.37 % (1224401)Time elapsed: 0.001 s
% 0.22/0.37 % (1224401)Peak memory usage: 12 MB
% 0.22/0.37 % (1224401)Instructions burned: 4 (million)
% 0.22/0.37 % (1224402)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3415692487:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.39 % (1224405)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2352434177:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.39 % (1224402)Instruction limit reached!
% 0.86/0.39 % (1224402)------------------------------
% 0.86/0.39 % (1224402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.39 % (1224402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.39 % (1224403)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.39 % (1224402)CaDiCaL version: 2.1.3
% 0.86/0.39 % (1224402)Termination reason: Instruction limit
% 0.86/0.39 % (1224402)Termination phase: Saturation
% 0.86/0.39 % (1224402)Time elapsed: 0.004 s
% 0.86/0.39 % (1224402)Peak memory usage: 12 MB
% 0.86/0.39 % (1224402)Instructions burned: 6 (million)
% 0.86/0.39 % (1224405)Instruction limit reached!
% 0.86/0.39 % (1224405)------------------------------
% 0.86/0.39 % (1224405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.39 % (1224405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.39 % (1224405)CaDiCaL version: 2.1.3
% 0.86/0.39 % (1224405)Termination reason: Instruction limit
% 0.86/0.39 % (1224405)Termination phase: Saturation
% 0.86/0.39 % (1224405)Time elapsed: 0.004 s
% 0.86/0.39 % (1224405)Peak memory usage: 12 MB
% 0.86/0.39 % (1224405)Instructions burned: 13 (million)
% 0.86/0.39 % (1224403)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3982751015:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.39 % (1224403)Instruction limit reached!
% 0.86/0.39 % (1224403)------------------------------
% 0.86/0.39 % (1224403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.39 % (1224403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.39 % (1224403)CaDiCaL version: 2.1.3
% 0.86/0.39 % (1224403)Termination reason: Instruction limit
% 0.86/0.39 % (1224403)Termination phase: Saturation
% 0.86/0.39 % (1224403)Time elapsed: 0.005 s
% 0.86/0.39 % (1224403)Peak memory usage: 12 MB
% 0.86/0.39 % (1224403)Instructions burned: 8 (million)
% 0.86/0.39 % (1224392)Instruction limit reached!
% 0.86/0.39 % (1224392)------------------------------
% 0.86/0.39 % (1224392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.39 % (1224392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.39 % (1224392)CaDiCaL version: 2.1.3
% 0.86/0.39 % (1224392)Termination reason: Instruction limit
% 0.86/0.39 % (1224392)Termination phase: Saturation
% 0.86/0.39 % (1224392)Time elapsed: 0.039 s
% 0.86/0.39 % (1224392)Peak memory usage: 12 MB
% 0.86/0.39 % (1224392)Instructions burned: 75 (million)
% 0.86/0.39 % (1224409)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=2962748715:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.39 % (1224408)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.86/0.39 % (1224408)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.39 % (1224387)Instruction limit reached!
% 0.86/0.39 % (1224387)------------------------------
% 0.86/0.39 % (1224387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.39 % (1224387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.39 % (1224387)CaDiCaL version: 2.1.3
% 0.86/0.39 % (1224387)Termination reason: Instruction limit
% 0.86/0.39 % (1224387)Termination phase: Saturation
% 0.86/0.39 % (1224387)Time elapsed: 0.045 s
% 0.86/0.39 % (1224387)Peak memory usage: 13 MB
% 0.86/0.39 % (1224387)Instructions burned: 88 (million)
% 0.86/0.39 % (1224408)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4232565698:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.39 % (1224412)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.41 % (1224412)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=3182644898:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.41 % (1224408)Instruction limit reached!
% 0.86/0.41 % (1224408)------------------------------
% 0.86/0.41 % (1224408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1224408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1224408)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1224408)Termination reason: Instruction limit
% 0.86/0.41 % (1224408)Termination phase: Saturation
% 0.86/0.41 % (1224408)Time elapsed: 0.015 s
% 0.86/0.41 % (1224408)Peak memory usage: 12 MB
% 0.86/0.41 % (1224408)Instructions burned: 29 (million)
% 0.86/0.41 % (1224412)Instruction limit reached!
% 0.86/0.41 % (1224412)------------------------------
% 0.86/0.41 % (1224412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1224412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1224412)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1224412)Termination reason: Instruction limit
% 0.86/0.41 % (1224412)Termination phase: Saturation
% 0.86/0.41 % (1224412)Time elapsed: 0.003 s
% 0.86/0.41 % (1224412)Peak memory usage: 11 MB
% 0.86/0.41 % (1224412)Instructions burned: 5 (million)
% 0.86/0.41 % (1224393)Instruction limit reached!
% 0.86/0.41 % (1224393)------------------------------
% 0.86/0.41 % (1224393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1224393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1224393)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1224393)Termination reason: Instruction limit
% 0.86/0.41 % (1224393)Termination phase: Saturation
% 0.86/0.41 % (1224393)Time elapsed: 0.063 s
% 0.86/0.41 % (1224393)Peak memory usage: 12 MB
% 0.86/0.41 % (1224393)Instructions burned: 157 (million)
% 0.86/0.41 % (1224414)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1252769816:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.41 % (1224409)Instruction limit reached!
% 0.86/0.41 % (1224409)------------------------------
% 0.86/0.41 % (1224409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1224409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1224409)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1224409)Termination reason: Instruction limit
% 0.86/0.41 % (1224409)Termination phase: Saturation
% 0.86/0.41 % (1224409)Time elapsed: 0.023 s
% 0.86/0.41 % (1224409)Peak memory usage: 13 MB
% 0.86/0.41 % (1224409)Instructions burned: 87 (million)
% 0.86/0.41 % (1224414)Refutation not found, incomplete strategy
% 0.86/0.41 % (1224414)------------------------------
% 0.86/0.41 % (1224414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1224414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1224414)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1224414)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.41 % (1224414)Time elapsed: 0.001 s
% 0.86/0.41 % (1224414)Peak memory usage: 11 MB
% 0.86/0.41 % (1224414)Instructions burned: 1 (million)
% 0.86/0.41 % (1224414)------------------------------
% 0.86/0.41 % (1224414)------------------------------
% 0.86/0.41 % (1224411)lrs+10_1_si=on:cs=on:random_seed=2358331941:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.41 % (1224411)Instruction limit reached!
% 0.86/0.41 % (1224411)------------------------------
% 0.86/0.41 % (1224411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.41 % (1224411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.41 % (1224411)CaDiCaL version: 2.1.3
% 0.86/0.41 % (1224411)Termination reason: Instruction limit
% 0.86/0.41 % (1224411)Termination phase: Saturation
% 0.86/0.41 % (1224411)Time elapsed: 0.005 s
% 0.86/0.41 % (1224411)Peak memory usage: 12 MB
% 0.86/0.41 % (1224411)Instructions burned: 9 (million)
% 0.86/0.41 % (1224423)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=19544729:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.41 % (1224417)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1288631020:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.86/0.41 % (1224423)Instruction limit reached!
% 0.86/0.45 % (1224423)------------------------------
% 0.86/0.45 % (1224423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (1224423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (1224423)CaDiCaL version: 2.1.3
% 0.86/0.45 % (1224423)Termination reason: Instruction limit
% 0.86/0.45 % (1224423)Termination phase: Saturation
% 0.86/0.45 % (1224423)Time elapsed: 0.004 s
% 0.86/0.45 % (1224423)Peak memory usage: 12 MB
% 0.86/0.45 % (1224423)Instructions burned: 15 (million)
% 0.86/0.45 % (1224417)Refutation not found, incomplete strategy
% 0.86/0.45 % (1224417)------------------------------
% 0.86/0.45 % (1224417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (1224417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (1224417)CaDiCaL version: 2.1.3
% 0.86/0.45 % (1224417)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (1224417)Time elapsed: 0.001 s
% 0.86/0.45 % (1224417)Peak memory usage: 11 MB
% 0.86/0.45 % (1224417)Instructions burned: 1 (million)
% 0.86/0.45 % (1224417)------------------------------
% 0.86/0.45 % (1224417)------------------------------
% 0.86/0.45 % (1224420)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1491861811:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.45 % (1224419)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2172474733:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.86/0.45 % (1224419)Refutation not found, incomplete strategy
% 0.86/0.45 % (1224419)------------------------------
% 0.86/0.45 % (1224419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (1224419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (1224419)CaDiCaL version: 2.1.3
% 0.86/0.45 % (1224419)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (1224419)Time elapsed: 0.001 s
% 0.86/0.45 % (1224419)Peak memory usage: 12 MB
% 0.86/0.45 % (1224419)Instructions burned: 1 (million)
% 0.86/0.45 % (1224419)------------------------------
% 0.86/0.45 % (1224419)------------------------------
% 0.86/0.45 % (1224424)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4288536913:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.86/0.45 % (1224424)Refutation not found, incomplete strategy
% 0.86/0.45 % (1224424)------------------------------
% 0.86/0.45 % (1224424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (1224424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (1224424)CaDiCaL version: 2.1.3
% 0.86/0.45 % (1224424)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (1224424)Time elapsed: 0.001 s
% 0.86/0.45 % (1224424)Peak memory usage: 11 MB
% 0.86/0.45 % (1224424)Instructions burned: 1 (million)
% 0.86/0.45 % (1224427)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1196716426:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.86/0.45 % (1224424)------------------------------
% 0.86/0.45 % (1224424)------------------------------
% 0.86/0.45 % (1224420)Instruction limit reached!
% 0.86/0.45 % (1224420)------------------------------
% 0.86/0.45 % (1224420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (1224420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (1224420)CaDiCaL version: 2.1.3
% 0.86/0.45 % (1224420)Termination reason: Instruction limit
% 0.86/0.45 % (1224420)Termination phase: Saturation
% 0.86/0.45 % (1224420)Time elapsed: 0.008 s
% 0.86/0.45 % (1224420)Peak memory usage: 12 MB
% 0.86/0.45 % (1224420)Instructions burned: 15 (million)
% 0.86/0.45 % (1224422)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1901121338:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.86/0.45 % (1224422)Refutation not found, incomplete strategy
% 0.86/0.45 % (1224422)------------------------------
% 0.86/0.45 % (1224422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (1224422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (1224422)CaDiCaL version: 2.1.3
% 0.86/0.45 % (1224422)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.47 % (1224422)Time elapsed: 0.002 s
% 0.86/0.47 % (1224422)Peak memory usage: 11 MB
% 0.86/0.47 % (1224422)Instructions burned: 2 (million)
% 0.86/0.47 % (1224422)------------------------------
% 0.86/0.47 % (1224422)------------------------------
% 0.86/0.47 % (1224428)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=792347493:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.86/0.47 % (1224427)Instruction limit reached!
% 0.86/0.47 % (1224427)------------------------------
% 0.86/0.47 % (1224427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.47 % (1224427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.47 % (1224427)CaDiCaL version: 2.1.3
% 0.86/0.47 % (1224427)Termination reason: Instruction limit
% 0.86/0.47 % (1224427)Termination phase: Saturation
% 0.86/0.47 % (1224427)Time elapsed: 0.011 s
% 0.86/0.47 % (1224427)Peak memory usage: 12 MB
% 0.86/0.47 % (1224427)Instructions burned: 33 (million)
% 0.86/0.47 % (1224431)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3676699082:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.86/0.48 % (1224435)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.86/0.48 % (1224434)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
% 0.86/0.48 % (1224434)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.86/0.48 % (1224435)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=4121812015:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.86/0.48 % (1224434)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=4280307623:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.86/0.48 % (1224438)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=182063624:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.86/0.48 % (1224428)Instruction limit reached!
% 0.86/0.48 % (1224428)------------------------------
% 0.86/0.48 % (1224428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48 % (1224428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48 % (1224428)CaDiCaL version: 2.1.3
% 0.86/0.48 % (1224428)Termination reason: Instruction limit
% 0.86/0.48 % (1224428)Termination phase: Saturation
% 0.86/0.48 % (1224428)Time elapsed: 0.013 s
% 0.86/0.48 % (1224428)Peak memory usage: 11 MB
% 0.86/0.48 % (1224428)Instructions burned: 24 (million)
% 0.86/0.48 % (1224435)Instruction limit reached!
% 0.86/0.48 % (1224435)------------------------------
% 0.86/0.48 % (1224435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48 % (1224435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48 % (1224435)CaDiCaL version: 2.1.3
% 0.86/0.48 % (1224435)Termination reason: Instruction limit
% 0.86/0.48 % (1224435)Termination phase: Saturation
% 0.86/0.48 % (1224435)Time elapsed: 0.005 s
% 0.86/0.48 % (1224435)Peak memory usage: 12 MB
% 0.86/0.48 % (1224435)Instructions burned: 8 (million)
% 0.86/0.48 % (1224434)Instruction limit reached!
% 0.86/0.48 % (1224434)------------------------------
% 0.86/0.48 % (1224434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48 % (1224434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48 % (1224434)CaDiCaL version: 2.1.3
% 0.86/0.48 % (1224434)Termination reason: Instruction limit
% 0.86/0.48 % (1224434)Termination phase: Saturation
% 0.86/0.48 % (1224434)Time elapsed: 0.009 s
% 0.86/0.48 % (1224434)Peak memory usage: 12 MB
% 0.86/0.48 % (1224434)Instructions burned: 15 (million)
% 0.86/0.48 % (1224438)Instruction limit reached!
% 0.86/0.48 % (1224438)------------------------------
% 0.86/0.48 % (1224438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48 % (1224438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.51 % (1224438)CaDiCaL version: 2.1.3
% 1.66/0.51 % (1224438)Termination reason: Instruction limit
% 1.66/0.51 % (1224438)Termination phase: Saturation
% 1.66/0.51 % (1224438)Time elapsed: 0.009 s
% 1.66/0.51 % (1224438)Peak memory usage: 12 MB
% 1.66/0.51 % (1224438)Instructions burned: 33 (million)
% 1.66/0.51 % (1224439)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2099206684:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.66/0.51 % (1224439)Instruction limit reached!
% 1.66/0.51 % (1224439)------------------------------
% 1.66/0.51 % (1224439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.51 % (1224439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.51 % (1224439)CaDiCaL version: 2.1.3
% 1.66/0.51 % (1224439)Termination reason: Instruction limit
% 1.66/0.51 % (1224439)Termination phase: Saturation
% 1.66/0.51 % (1224439)Time elapsed: 0.004 s
% 1.66/0.51 % (1224439)Peak memory usage: 12 MB
% 1.66/0.51 % (1224439)Instructions burned: 7 (million)
% 1.66/0.51 % (1224444)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1937296456:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.66/0.51 % (1224448)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=931161039:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.66/0.51 % (1224445)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1881270405:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.66/0.51 % (1224431)Instruction limit reached!
% 1.66/0.51 % (1224431)------------------------------
% 1.66/0.51 % (1224431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.51 % (1224431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.51 % (1224431)CaDiCaL version: 2.1.3
% 1.66/0.51 % (1224431)Termination reason: Instruction limit
% 1.66/0.51 % (1224431)Termination phase: Saturation
% 1.66/0.51 % (1224431)Time elapsed: 0.031 s
% 1.66/0.51 % (1224431)Peak memory usage: 12 MB
% 1.66/0.51 % (1224431)Instructions burned: 61 (million)
% 1.66/0.51 % (1224446)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2066817896:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.66/0.51 % (1224444)Instruction limit reached!
% 1.66/0.51 % (1224444)------------------------------
% 1.66/0.51 % (1224444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.51 % (1224444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.51 % (1224444)CaDiCaL version: 2.1.3
% 1.66/0.51 % (1224444)Termination reason: Instruction limit
% 1.66/0.51 % (1224444)Termination phase: Saturation
% 1.66/0.51 % (1224444)Time elapsed: 0.011 s
% 1.66/0.51 % (1224444)Peak memory usage: 11 MB
% 1.66/0.51 % (1224444)Instructions burned: 24 (million)
% 1.66/0.51 % (1224449)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1210580891:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.66/0.51 % (1224445)Instruction limit reached!
% 1.66/0.51 % (1224445)------------------------------
% 1.66/0.51 % (1224445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.51 % (1224445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.51 % (1224445)CaDiCaL version: 2.1.3
% 1.66/0.51 % (1224445)Termination reason: Instruction limit
% 1.66/0.51 % (1224445)Termination phase: Saturation
% 1.66/0.51 % (1224445)Time elapsed: 0.011 s
% 1.66/0.51 % (1224445)Peak memory usage: 12 MB
% 1.66/0.51 % (1224445)Instructions burned: 20 (million)
% 1.66/0.51 % (1224449)Refutation not found, incomplete strategy
% 1.66/0.51 % (1224449)------------------------------
% 1.66/0.51 % (1224449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.51 % (1224449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.51 % (1224449)CaDiCaL version: 2.1.3
% 1.66/0.51 % (1224449)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.51 % (1224449)Time elapsed: 0.001 s
% 1.66/0.51 % (1224449)Peak memory usage: 11 MB
% 1.66/0.51 % (1224449)Instructions burned: 2 (million)
% 1.66/0.51 % (1224449)------------------------------
% 1.66/0.51 % (1224449)------------------------------
% 1.66/0.51 % (1224453)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1764526701:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.66/0.57 % (1224455)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.66/0.57 % (1224455)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=424893659:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.66/0.57 % (1224457)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2032529629:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.66/0.57 % (1224457)Refutation not found, incomplete strategy
% 1.66/0.57 % (1224457)------------------------------
% 1.66/0.57 % (1224457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.57 % (1224457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.57 % (1224457)CaDiCaL version: 2.1.3
% 1.66/0.57 % (1224457)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.57 % (1224457)Time elapsed: 0.001 s
% 1.66/0.57 % (1224457)Peak memory usage: 11 MB
% 1.66/0.57 % (1224457)Instructions burned: 1 (million)
% 1.66/0.57 % (1224457)------------------------------
% 1.66/0.57 % (1224457)------------------------------
% 1.66/0.57 % (1224455)Instruction limit reached!
% 1.66/0.57 % (1224455)------------------------------
% 1.66/0.57 % (1224455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.57 % (1224455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.57 % (1224455)CaDiCaL version: 2.1.3
% 1.66/0.57 % (1224455)Termination reason: Instruction limit
% 1.66/0.57 % (1224455)Termination phase: Saturation
% 1.66/0.57 % (1224455)Time elapsed: 0.005 s
% 1.66/0.57 % (1224455)Peak memory usage: 12 MB
% 1.66/0.57 % (1224455)Instructions burned: 9 (million)
% 1.66/0.57 % (1224448)Instruction limit reached!
% 1.66/0.57 % (1224448)------------------------------
% 1.66/0.57 % (1224448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.57 % (1224448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.57 % (1224448)CaDiCaL version: 2.1.3
% 1.66/0.57 % (1224448)Termination reason: Instruction limit
% 1.66/0.57 % (1224448)Termination phase: Saturation
% 1.66/0.57 % (1224448)Time elapsed: 0.039 s
% 1.66/0.57 % (1224448)Peak memory usage: 13 MB
% 1.66/0.57 % (1224448)Instructions burned: 158 (million)
% 1.66/0.57 % (1224453)Instruction limit reached!
% 1.66/0.57 % (1224453)------------------------------
% 1.66/0.57 % (1224453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.57 % (1224453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.57 % (1224453)CaDiCaL version: 2.1.3
% 1.66/0.57 % (1224453)Termination reason: Instruction limit
% 1.66/0.57 % (1224453)Termination phase: Saturation
% 1.66/0.57 % (1224453)Time elapsed: 0.021 s
% 1.66/0.57 % (1224453)Peak memory usage: 12 MB
% 1.66/0.57 % (1224453)Instructions burned: 42 (million)
% 1.66/0.57 % (1224458)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=3875054289:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.66/0.57 % (1224462)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.66/0.57 % (1224458)Refutation not found, incomplete strategy
% 1.66/0.57 % (1224458)------------------------------
% 1.66/0.57 % (1224458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.57 % (1224458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.57 % (1224458)CaDiCaL version: 2.1.3
% 1.66/0.57 % (1224458)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.57 % (1224458)Time elapsed: 0.001 s
% 1.66/0.57 % (1224458)Peak memory usage: 11 MB
% 1.66/0.57 % (1224458)Instructions burned: 1 (million)
% 1.66/0.57 % (1224464)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1214656879:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.66/0.57 % (1224458)------------------------------
% 1.66/0.57 % (1224458)------------------------------
% 1.66/0.57 % (1224464)Refutation not found, incomplete strategy
% 1.66/0.57 % (1224464)------------------------------
% 1.66/0.57 % (1224464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.57 % (1224464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.63 % (1224464)CaDiCaL version: 2.1.3
% 2.30/0.63 % (1224464)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.63 % (1224464)Time elapsed: 0.001 s
% 2.30/0.63 % (1224464)Peak memory usage: 12 MB
% 2.30/0.63 % (1224464)Instructions burned: 5 (million)
% 2.30/0.63 % (1224464)------------------------------
% 2.30/0.63 % (1224464)------------------------------
% 2.30/0.63 % (1224462)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1243690935:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.30/0.63 % (1224462)Instruction limit reached!
% 2.30/0.63 % (1224462)------------------------------
% 2.30/0.63 % (1224462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.63 % (1224462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.63 % (1224462)CaDiCaL version: 2.1.3
% 2.30/0.63 % (1224462)Termination reason: Instruction limit
% 2.30/0.63 % (1224462)Termination phase: Saturation
% 2.30/0.63 % (1224462)Time elapsed: 0.003 s
% 2.30/0.63 % (1224462)Peak memory usage: 12 MB
% 2.30/0.63 % (1224462)Instructions burned: 6 (million)
% 2.30/0.63 % (1224463)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1614679293:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.30/0.63 % (1224469)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=744157344:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.30/0.63 % (1224468)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=955347633:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.30/0.63 % (1224465)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=234865319:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.30/0.63 % (1224469)Instruction limit reached!
% 2.30/0.63 % (1224469)------------------------------
% 2.30/0.63 % (1224469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.63 % (1224390)Instruction limit reached!
% 2.30/0.63 % (1224390)------------------------------
% 2.30/0.63 % (1224390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.63 % (1224469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.63 % (1224390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.63 % (1224469)CaDiCaL version: 2.1.3
% 2.30/0.63 % (1224469)Termination reason: Instruction limit
% 2.30/0.63 % (1224469)Termination phase: Saturation
% 2.30/0.63 % (1224469)Time elapsed: 0.013 s
% 2.30/0.63 % (1224390)CaDiCaL version: 2.1.3
% 2.30/0.63 % (1224469)Peak memory usage: 12 MB
% 2.30/0.63 % (1224390)Termination reason: Instruction limit
% 2.30/0.63 % (1224390)Termination phase: Saturation
% 2.30/0.63 % (1224469)Instructions burned: 54 (million)
% 2.30/0.63 % (1224390)Time elapsed: 0.213 s
% 2.30/0.63 % (1224390)Peak memory usage: 13 MB
% 2.30/0.63 % (1224390)Instructions burned: 634 (million)
% 2.30/0.63 % (1224463)Instruction limit reached!
% 2.30/0.63 % (1224463)------------------------------
% 2.30/0.63 % (1224463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.63 % (1224463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.63 % (1224463)CaDiCaL version: 2.1.3
% 2.30/0.63 % (1224463)Termination reason: Instruction limit
% 2.30/0.63 % (1224463)Termination phase: Saturation
% 2.30/0.63 % (1224463)Time elapsed: 0.020 s
% 2.30/0.63 % (1224463)Peak memory usage: 12 MB
% 2.30/0.63 % (1224463)Instructions burned: 23 (million)
% 2.30/0.63 % (1224472)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3608465593:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.30/0.63 % (1224472)Refutation not found, incomplete strategy
% 2.30/0.63 % (1224472)------------------------------
% 2.30/0.63 % (1224472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.63 % (1224472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.68 % (1224472)CaDiCaL version: 2.1.3
% 2.61/0.68 % (1224472)Termination reason: Refutation not found, incomplete strategy
% 2.61/0.68 % (1224472)Time elapsed: 0.002 s
% 2.61/0.68 % (1224472)Peak memory usage: 11 MB
% 2.61/0.68 % (1224472)Instructions burned: 3 (million)
% 2.61/0.68 % (1224476)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3936961681:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.61/0.68 % (1224472)------------------------------
% 2.61/0.68 % (1224472)------------------------------
% 2.61/0.68 % (1224477)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.61/0.68 % (1224476)Instruction limit reached!
% 2.61/0.68 % (1224476)------------------------------
% 2.61/0.68 % (1224476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.68 % (1224476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.68 % (1224476)CaDiCaL version: 2.1.3
% 2.61/0.68 % (1224476)Termination reason: Instruction limit
% 2.61/0.68 % (1224476)Termination phase: Saturation
% 2.61/0.68 % (1224476)Time elapsed: 0.006 s
% 2.61/0.68 % (1224476)Peak memory usage: 12 MB
% 2.61/0.68 % (1224476)Instructions burned: 23 (million)
% 2.61/0.68 % (1224477)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1934112874:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.61/0.68 % (1224478)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3995193859:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.61/0.68 % (1224482)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=892128125:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.61/0.68 % (1224478)Instruction limit reached!
% 2.61/0.68 % (1224478)------------------------------
% 2.61/0.68 % (1224478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.68 % (1224478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.68 % (1224478)CaDiCaL version: 2.1.3
% 2.61/0.68 % (1224478)Termination reason: Instruction limit
% 2.61/0.68 % (1224478)Termination phase: Saturation
% 2.61/0.68 % (1224478)Time elapsed: 0.008 s
% 2.61/0.68 % (1224478)Peak memory usage: 12 MB
% 2.61/0.68 % (1224478)Instructions burned: 14 (million)
% 2.61/0.68 % (1224482)Refutation not found, incomplete strategy
% 2.61/0.68 % (1224482)------------------------------
% 2.61/0.68 % (1224482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.68 % (1224482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.68 % (1224482)CaDiCaL version: 2.1.3
% 2.61/0.68 % (1224482)Termination reason: Refutation not found, incomplete strategy
% 2.61/0.68 % (1224482)Time elapsed: 0.001 s
% 2.61/0.68 % (1224482)Peak memory usage: 12 MB
% 2.61/0.68 % (1224482)Instructions burned: 4 (million)
% 2.61/0.68 % (1224481)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=3035598470:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.61/0.68 % (1224482)------------------------------
% 2.61/0.68 % (1224482)------------------------------
% 2.61/0.68 % (1224488)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2822688394:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.61/0.68 % (1224486)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2851454378:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.61/0.68 % (1224486)Instruction limit reached!
% 2.61/0.68 % (1224486)------------------------------
% 2.61/0.68 % (1224486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.68 % (1224486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.68 % (1224486)CaDiCaL version: 2.1.3
% 2.61/0.68 % (1224486)Termination reason: Instruction limit
% 2.61/0.68 % (1224486)Termination phase: Saturation
% 2.61/0.68 % (1224486)Time elapsed: 0.016 s
% 2.61/0.68 % (1224486)Peak memory usage: 12 MB
% 2.61/0.68 % (1224486)Instructions burned: 32 (million)
% 2.61/0.68 % (1224481)Instruction limit reached!
% 2.61/0.68 % (1224481)------------------------------
% 2.61/0.68 % (1224481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.72 % (1224481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.72 % (1224481)CaDiCaL version: 2.1.3
% 3.05/0.72 % (1224481)Termination reason: Instruction limit
% 3.05/0.72 % (1224481)Termination phase: Saturation
% 3.05/0.72 % (1224481)Time elapsed: 0.044 s
% 3.05/0.72 % (1224481)Peak memory usage: 12 MB
% 3.05/0.72 % (1224481)Instructions burned: 66 (million)
% 3.05/0.72 % (1224488)Instruction limit reached!
% 3.05/0.72 % (1224488)------------------------------
% 3.05/0.72 % (1224488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.72 % (1224488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.72 % (1224488)CaDiCaL version: 2.1.3
% 3.05/0.72 % (1224488)Termination reason: Instruction limit
% 3.05/0.72 % (1224488)Termination phase: Saturation
% 3.05/0.72 % (1224488)Time elapsed: 0.038 s
% 3.05/0.72 % (1224488)Peak memory usage: 12 MB
% 3.05/0.72 % (1224488)Instructions burned: 138 (million)
% 3.05/0.72 % (1224493)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.05/0.72 % (1224493)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=113217515:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.05/0.72 % (1224491)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=1002971773:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.05/0.72 % (1224477)Instruction limit reached!
% 3.05/0.72 % (1224477)------------------------------
% 3.05/0.72 % (1224477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.72 % (1224477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.72 % (1224477)CaDiCaL version: 2.1.3
% 3.05/0.72 % (1224477)Termination reason: Instruction limit
% 3.05/0.72 % (1224477)Termination phase: Saturation
% 3.05/0.72 % (1224477)Time elapsed: 0.085 s
% 3.05/0.72 % (1224477)Peak memory usage: 12 MB
% 3.05/0.72 % (1224477)Instructions burned: 201 (million)
% 3.05/0.72 % (1224492)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3217367764:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.05/0.72 % (1224492)Refutation not found, incomplete strategy
% 3.05/0.72 % (1224492)------------------------------
% 3.05/0.72 % (1224492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.72 % (1224492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.72 % (1224492)CaDiCaL version: 2.1.3
% 3.05/0.72 % (1224492)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.72 % (1224492)Time elapsed: 0.003 s
% 3.05/0.72 % (1224492)Peak memory usage: 12 MB
% 3.05/0.72 % (1224492)Instructions burned: 4 (million)
% 3.05/0.72 % (1224492)------------------------------
% 3.05/0.72 % (1224492)------------------------------
% 3.05/0.72 % (1224491)Instruction limit reached!
% 3.05/0.72 % (1224491)------------------------------
% 3.05/0.72 % (1224491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.72 % (1224491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.72 % (1224491)CaDiCaL version: 2.1.3
% 3.05/0.72 % (1224491)Termination reason: Instruction limit
% 3.05/0.72 % (1224491)Termination phase: Saturation
% 3.05/0.72 % (1224491)Time elapsed: 0.021 s
% 3.05/0.72 % (1224491)Peak memory usage: 12 MB
% 3.05/0.72 % (1224491)Instructions burned: 36 (million)
% 3.05/0.72 % (1224497)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=421058439:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.05/0.72 % (1224497)Refutation not found, incomplete strategy
% 3.05/0.72 % (1224497)------------------------------
% 3.05/0.72 % (1224497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.72 % (1224497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.72 % (1224497)CaDiCaL version: 2.1.3
% 3.05/0.72 % (1224497)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.72 % (1224497)Time elapsed: 0.001 s
% 3.05/0.72 % (1224497)Peak memory usage: 11 MB
% 3.05/0.72 % (1224497)Instructions burned: 1 (million)
% 3.05/0.72 % (1224497)------------------------------
% 3.05/0.72 % (1224497)------------------------------
% 3.05/0.72 % (1224498)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3699683713:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.05/0.78 % (1224499)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1219932577:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.05/0.78 % (1224499)Refutation not found, incomplete strategy
% 3.05/0.78 % (1224499)------------------------------
% 3.05/0.78 % (1224499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.78 % (1224499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.78 % (1224499)CaDiCaL version: 2.1.3
% 3.05/0.78 % (1224499)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.78 % (1224499)Time elapsed: 0.001 s
% 3.05/0.78 % (1224499)Peak memory usage: 11 MB
% 3.05/0.78 % (1224499)Instructions burned: 1 (million)
% 3.05/0.78 % (1224499)------------------------------
% 3.05/0.78 % (1224499)------------------------------
% 3.05/0.78 % (1224493)Instruction limit reached!
% 3.05/0.78 % (1224493)------------------------------
% 3.05/0.78 % (1224493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.78 % (1224493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.78 % (1224493)CaDiCaL version: 2.1.3
% 3.05/0.78 % (1224493)Termination reason: Instruction limit
% 3.05/0.78 % (1224493)Termination phase: Saturation
% 3.05/0.78 % (1224493)Time elapsed: 0.045 s
% 3.05/0.78 % (1224493)Peak memory usage: 12 MB
% 3.05/0.78 % (1224493)Instructions burned: 185 (million)
% 3.05/0.78 % (1224505)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=476972514:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.05/0.78 % (1224504)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3841771957:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.05/0.78 % (1224504)Refutation not found, incomplete strategy
% 3.05/0.78 % (1224504)------------------------------
% 3.05/0.78 % (1224504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.78 % (1224504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.78 % (1224504)CaDiCaL version: 2.1.3
% 3.05/0.78 % (1224504)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.78 % (1224504)Time elapsed: 0.001 s
% 3.05/0.78 % (1224504)Peak memory usage: 12 MB
% 3.05/0.78 % (1224504)Instructions burned: 2 (million)
% 3.05/0.78 % (1224504)------------------------------
% 3.05/0.78 % (1224504)------------------------------
% 3.05/0.78 % (1224465)Instruction limit reached!
% 3.05/0.78 % (1224465)------------------------------
% 3.05/0.78 % (1224465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.78 % (1224465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.78 % (1224465)CaDiCaL version: 2.1.3
% 3.05/0.78 % (1224465)Termination reason: Instruction limit
% 3.05/0.78 % (1224465)Termination phase: Saturation
% 3.05/0.78 % (1224465)Time elapsed: 0.159 s
% 3.05/0.78 % (1224465)Peak memory usage: 14 MB
% 3.05/0.78 % (1224465)Instructions burned: 316 (million)
% 3.05/0.78 % (1224502)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=905817084:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.05/0.78 % (1224502)Refutation not found, incomplete strategy
% 3.05/0.78 % (1224502)------------------------------
% 3.05/0.78 % (1224502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.78 % (1224502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.78 % (1224502)CaDiCaL version: 2.1.3
% 3.05/0.78 % (1224502)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.78 % (1224502)Time elapsed: 0.002 s
% 3.05/0.78 % (1224502)Peak memory usage: 12 MB
% 3.05/0.78 % (1224502)Instructions burned: 2 (million)
% 3.05/0.78 % (1224502)------------------------------
% 3.05/0.78 % (1224502)------------------------------
% 3.05/0.78 % (1224498)Instruction limit reached!
% 3.05/0.78 % (1224498)------------------------------
% 3.05/0.78 % (1224498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.78 % (1224498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.78 % (1224498)CaDiCaL version: 2.1.3
% 3.05/0.78 % (1224498)Termination reason: Instruction limit
% 3.05/0.78 % (1224498)Termination phase: Saturation
% 3.05/0.78 % (1224498)Time elapsed: 0.045 s
% 3.05/0.78 % (1224498)Peak memory usage: 12 MB
% 3.05/0.78 % (1224498)Instructions burned: 97 (million)
% 3.05/0.78 % (1224505)Instruction limit reached!
% 3.05/0.78 % (1224505)------------------------------
% 3.55/0.84 % (1224505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.84 % (1224505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.84 % (1224505)CaDiCaL version: 2.1.3
% 3.55/0.84 % (1224505)Termination reason: Instruction limit
% 3.55/0.84 % (1224505)Termination phase: Saturation
% 3.55/0.84 % (1224505)Time elapsed: 0.027 s
% 3.55/0.84 % (1224505)Peak memory usage: 12 MB
% 3.55/0.84 % (1224505)Instructions burned: 135 (million)
% 3.55/0.84 % (1224508)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4212543288:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.55/0.84 % (1224509)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1672533066:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.55/0.84 % (1224509)Refutation not found, incomplete strategy
% 3.55/0.84 % (1224509)------------------------------
% 3.55/0.84 % (1224509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.84 % (1224509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.84 % (1224509)CaDiCaL version: 2.1.3
% 3.55/0.84 % (1224509)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.84 % (1224509)Time elapsed: 0.002 s
% 3.55/0.84 % (1224509)Peak memory usage: 12 MB
% 3.55/0.84 % (1224509)Instructions burned: 3 (million)
% 3.55/0.84 % (1224509)------------------------------
% 3.55/0.84 % (1224509)------------------------------
% 3.55/0.84 % (1224511)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1274680763:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.55/0.84 % (1224515)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=1960188356:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.55/0.84 % (1224512)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3182453163:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.55/0.84 % (1224508)Instruction limit reached!
% 3.55/0.84 % (1224508)------------------------------
% 3.55/0.84 % (1224508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.84 % (1224508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.84 % (1224508)CaDiCaL version: 2.1.3
% 3.55/0.84 % (1224508)Termination reason: Instruction limit
% 3.55/0.84 % (1224508)Termination phase: Saturation
% 3.55/0.84 % (1224508)Time elapsed: 0.023 s
% 3.55/0.84 % (1224508)Peak memory usage: 12 MB
% 3.55/0.84 % (1224508)Instructions burned: 44 (million)
% 3.55/0.84 % (1224515)Instruction limit reached!
% 3.55/0.84 % (1224515)------------------------------
% 3.55/0.84 % (1224515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.84 % (1224515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.84 % (1224515)CaDiCaL version: 2.1.3
% 3.55/0.84 % (1224515)Termination reason: Instruction limit
% 3.55/0.84 % (1224515)Termination phase: Saturation
% 3.55/0.84 % (1224515)Time elapsed: 0.018 s
% 3.55/0.84 % (1224515)Peak memory usage: 12 MB
% 3.55/0.84 % (1224515)Instructions burned: 67 (million)
% 3.55/0.84 % (1224516)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=4032870442: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_2995 on theBenchmark for (2995ds/105Mi)
% 3.55/0.84 % (1224522)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=192091980:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.55/0.84 % (1224522)Refutation not found, incomplete strategy
% 3.55/0.84 % (1224522)------------------------------
% 3.55/0.84 % (1224522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.84 % (1224522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.84 % (1224522)CaDiCaL version: 2.1.3
% 3.55/0.84 % (1224522)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.84 % (1224522)Time elapsed: 0.0000 s
% 3.55/0.84 % (1224522)Peak memory usage: 11 MB
% 3.55/0.84 % (1224522)Instructions burned: 1 (million)
% 3.95/0.92 % (1224522)------------------------------
% 3.95/0.92 % (1224522)------------------------------
% 3.95/0.92 % (1224520)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=436248937:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.95/0.92 % (1224520)Refutation not found, incomplete strategy
% 3.95/0.92 % (1224520)------------------------------
% 3.95/0.92 % (1224520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.92 % (1224520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.92 % (1224520)CaDiCaL version: 2.1.3
% 3.95/0.92 % (1224520)Termination reason: Refutation not found, incomplete strategy
% 3.95/0.92 % (1224520)Time elapsed: 0.001 s
% 3.95/0.92 % (1224520)Peak memory usage: 12 MB
% 3.95/0.92 % (1224520)Instructions burned: 2 (million)
% 3.95/0.92 % (1224520)------------------------------
% 3.95/0.92 % (1224520)------------------------------
% 3.95/0.92 % (1224525)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3122377985:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.95/0.92 % (1224512)Instruction limit reached!
% 3.95/0.92 % (1224512)------------------------------
% 3.95/0.92 % (1224512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.92 % (1224512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.92 % (1224512)CaDiCaL version: 2.1.3
% 3.95/0.92 % (1224512)Termination reason: Instruction limit
% 3.95/0.92 % (1224512)Termination phase: Saturation
% 3.95/0.92 % (1224512)Time elapsed: 0.047 s
% 3.95/0.92 % (1224512)Peak memory usage: 13 MB
% 3.95/0.92 % (1224512)Instructions burned: 96 (million)
% 3.95/0.92 % (1224526)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=3965865406:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.95/0.92 % (1224530)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=602845251:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.95/0.92 % (1224516)Instruction limit reached!
% 3.95/0.92 % (1224516)------------------------------
% 3.95/0.92 % (1224516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.92 % (1224516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.92 % (1224516)CaDiCaL version: 2.1.3
% 3.95/0.92 % (1224516)Termination reason: Instruction limit
% 3.95/0.92 % (1224516)Termination phase: Saturation
% 3.95/0.92 % (1224516)Time elapsed: 0.053 s
% 3.95/0.92 % (1224516)Peak memory usage: 13 MB
% 3.95/0.92 % (1224516)Instructions burned: 106 (million)
% 3.95/0.92 % (1224526)Instruction limit reached!
% 3.95/0.92 % (1224526)------------------------------
% 3.95/0.92 % (1224526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.92 % (1224526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.92 % (1224526)CaDiCaL version: 2.1.3
% 3.95/0.92 % (1224526)Termination reason: Instruction limit
% 3.95/0.92 % (1224526)Termination phase: Saturation
% 3.95/0.92 % (1224526)Time elapsed: 0.019 s
% 3.95/0.92 % (1224526)Peak memory usage: 12 MB
% 3.95/0.92 % (1224526)Instructions burned: 36 (million)
% 3.95/0.92 % (1224468)Instruction limit reached!
% 3.95/0.92 % (1224468)------------------------------
% 3.95/0.92 % (1224468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.92 % (1224468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.92 % (1224468)CaDiCaL version: 2.1.3
% 3.95/0.92 % (1224468)Termination reason: Instruction limit
% 3.95/0.92 % (1224468)Termination phase: Saturation
% 3.95/0.92 % (1224468)Time elapsed: 0.284 s
% 3.95/0.92 % (1224468)Peak memory usage: 13 MB
% 3.95/0.92 % (1224468)Instructions burned: 855 (million)
% 3.95/0.92 % (1224532)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2891780840:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 3.95/0.92 % (1224533)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3013657610:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 3.95/0.92 % (1224532)Refutation not found, incomplete strategy
% 3.95/0.92 % (1224532)------------------------------
% 3.95/0.98 % (1224532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.98 % (1224532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.98 % (1224532)CaDiCaL version: 2.1.3
% 3.95/0.98 % (1224532)Termination reason: Refutation not found, incomplete strategy
% 3.95/0.98 % (1224532)Time elapsed: 0.001 s
% 3.95/0.98 % (1224532)Peak memory usage: 11 MB
% 3.95/0.98 % (1224532)Instructions burned: 1 (million)
% 3.95/0.98 % (1224532)------------------------------
% 3.95/0.98 % (1224532)------------------------------
% 3.95/0.98 % (1224533)Instruction limit reached!
% 3.95/0.98 % (1224533)------------------------------
% 3.95/0.98 % (1224533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.98 % (1224533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.98 % (1224533)CaDiCaL version: 2.1.3
% 3.95/0.98 % (1224533)Termination reason: Instruction limit
% 3.95/0.98 % (1224533)Termination phase: Saturation
% 3.95/0.98 % (1224533)Time elapsed: 0.012 s
% 3.95/0.98 % (1224533)Peak memory usage: 12 MB
% 3.95/0.98 % (1224533)Instructions burned: 24 (million)
% 3.95/0.98 % (1224536)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=3565939236:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.95/0.98 % (1224537)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1345305640:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 3.95/0.98 % (1224537)Refutation not found, incomplete strategy
% 3.95/0.98 % (1224537)------------------------------
% 3.95/0.98 % (1224537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.98 % (1224537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.98 % (1224537)CaDiCaL version: 2.1.3
% 3.95/0.98 % (1224537)Termination reason: Refutation not found, incomplete strategy
% 3.95/0.98 % (1224537)Time elapsed: 0.001 s
% 3.95/0.98 % (1224537)Peak memory usage: 11 MB
% 3.95/0.98 % (1224537)Instructions burned: 1 (million)
% 3.95/0.98 % (1224537)------------------------------
% 3.95/0.98 % (1224537)------------------------------
% 3.95/0.98 % (1224530)Instruction limit reached!
% 3.95/0.98 % (1224530)------------------------------
% 3.95/0.98 % (1224530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.98 % (1224530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.98 % (1224530)CaDiCaL version: 2.1.3
% 3.95/0.98 % (1224530)Termination reason: Instruction limit
% 3.95/0.98 % (1224530)Termination phase: Saturation
% 3.95/0.98 % (1224530)Time elapsed: 0.044 s
% 3.95/0.98 % (1224530)Peak memory usage: 12 MB
% 3.95/0.98 % (1224530)Instructions burned: 92 (million)
% 3.95/0.98 % (1224538)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.95/0.98 % (1224538)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=130834793:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.95/0.98 % (1224542)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3028289450:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 3.95/0.98 % (1224541)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=2931110349:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 3.95/0.98 % (1224542)Refutation not found, incomplete strategy
% 3.95/0.98 % (1224542)------------------------------
% 3.95/0.98 % (1224542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.98 % (1224542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.98 % (1224542)CaDiCaL version: 2.1.3
% 3.95/0.98 % (1224542)Termination reason: Refutation not found, incomplete strategy
% 3.95/0.98 % (1224542)Time elapsed: 0.001 s
% 3.95/0.98 % (1224542)Peak memory usage: 11 MB
% 3.95/0.98 % (1224542)Instructions burned: 1 (million)
% 3.95/0.98 % (1224542)------------------------------
% 3.95/0.98 % (1224542)------------------------------
% 3.95/0.98 % (1224546)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.95/0.98 % (1224546)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3070834754:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 5.45/1.03 % (1224446)Instruction limit reached!
% 5.45/1.03 % (1224446)------------------------------
% 5.45/1.03 % (1224446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.03 % (1224446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.03 % (1224446)CaDiCaL version: 2.1.3
% 5.45/1.03 % (1224446)Termination reason: Instruction limit
% 5.45/1.03 % (1224446)Termination phase: Saturation
% 5.45/1.03 % (1224446)Time elapsed: 0.414 s
% 5.45/1.03 % (1224446)Peak memory usage: 13 MB
% 5.45/1.03 % (1224446)Instructions burned: 1242 (million)
% 5.45/1.03 % (1224525)Instruction limit reached!
% 5.45/1.03 % (1224525)------------------------------
% 5.45/1.03 % (1224525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.03 % (1224525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.03 % (1224525)CaDiCaL version: 2.1.3
% 5.45/1.03 % (1224525)Termination reason: Instruction limit
% 5.45/1.03 % (1224525)Termination phase: Saturation
% 5.45/1.04 % (1224525)Time elapsed: 0.123 s
% 5.45/1.04 % (1224525)Peak memory usage: 15 MB
% 5.45/1.04 % (1224525)Instructions burned: 499 (million)
% 5.45/1.04 % (1224549)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2496247869:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 5.45/1.04 % (1224548)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1107132757:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 5.45/1.04 % (1224549)Refutation not found, incomplete strategy
% 5.45/1.04 % (1224549)------------------------------
% 5.45/1.04 % (1224549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.04 % (1224549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.04 % (1224549)CaDiCaL version: 2.1.3
% 5.45/1.04 % (1224549)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.04 % (1224549)Time elapsed: 0.001 s
% 5.45/1.04 % (1224549)Peak memory usage: 12 MB
% 5.45/1.04 % (1224549)Instructions burned: 4 (million)
% 5.45/1.04 % (1224549)------------------------------
% 5.45/1.04 % (1224549)------------------------------
% 5.45/1.04 % (1224538)Instruction limit reached!
% 5.45/1.04 % (1224538)------------------------------
% 5.45/1.04 % (1224538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.04 % (1224538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.04 % (1224538)CaDiCaL version: 2.1.3
% 5.45/1.04 % (1224538)Termination reason: Instruction limit
% 5.45/1.04 % (1224538)Termination phase: Saturation
% 5.45/1.04 % (1224538)Time elapsed: 0.060 s
% 5.45/1.04 % (1224538)Peak memory usage: 12 MB
% 5.45/1.04 % (1224538)Instructions burned: 137 (million)
% 5.45/1.04 % (1224552)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1149035705:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.45/1.04 % (1224553)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=1956378989: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_2993 on theBenchmark for (2993ds/9840Mi)
% 5.45/1.04 % (1224511)Instruction limit reached!
% 5.45/1.04 % (1224511)------------------------------
% 5.45/1.04 % (1224511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.04 % (1224511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.04 % (1224511)CaDiCaL version: 2.1.3
% 5.45/1.04 % (1224511)Termination reason: Instruction limit
% 5.45/1.04 % (1224511)Termination phase: Saturation
% 5.45/1.04 % (1224511)Time elapsed: 0.213 s
% 5.45/1.04 % (1224511)Peak memory usage: 14 MB
% 5.45/1.04 % (1224511)Instructions burned: 451 (million)
% 5.45/1.04 % (1224556)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=280617733:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.45/1.04 % (1224556)Refutation not found, incomplete strategy
% 5.45/1.04 % (1224556)------------------------------
% 5.45/1.04 % (1224556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.04 % (1224556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.07 % (1224556)CaDiCaL version: 2.1.3
% 5.45/1.07 % (1224556)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.07 % (1224556)Time elapsed: 0.001 s
% 5.45/1.07 % (1224556)Peak memory usage: 11 MB
% 5.45/1.07 % (1224556)Instructions burned: 1 (million)
% 5.45/1.07 % (1224556)------------------------------
% 5.45/1.07 % (1224556)------------------------------
% 5.45/1.07 % (1224548)Instruction limit reached!
% 5.45/1.07 % (1224548)------------------------------
% 5.45/1.07 % (1224548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.07 % (1224548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.07 % (1224548)CaDiCaL version: 2.1.3
% 5.45/1.07 % (1224548)Termination reason: Instruction limit
% 5.45/1.07 % (1224548)Termination phase: Saturation
% 5.45/1.07 % (1224548)Time elapsed: 0.060 s
% 5.45/1.07 % (1224548)Peak memory usage: 13 MB
% 5.45/1.07 % (1224548)Instructions burned: 123 (million)
% 5.45/1.07 % (1224558)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
% 5.45/1.07 % (1224558)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=2017646016:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.45/1.07 % (1224559)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1056335412:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.45/1.07 % (1224552)Instruction limit reached!
% 5.45/1.07 % (1224552)------------------------------
% 5.45/1.07 % (1224552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.07 % (1224552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.07 % (1224552)CaDiCaL version: 2.1.3
% 5.45/1.07 % (1224552)Termination reason: Instruction limit
% 5.45/1.07 % (1224552)Termination phase: Saturation
% 5.45/1.07 % (1224552)Time elapsed: 0.069 s
% 5.45/1.07 % (1224552)Peak memory usage: 12 MB
% 5.45/1.07 % (1224552)Instructions burned: 274 (million)
% 5.45/1.07 % (1224562)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.45/1.07 % (1224562)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
% 5.45/1.07 % (1224562)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=958722276:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.45/1.07 % (1224559)Instruction limit reached!
% 5.45/1.07 % (1224559)------------------------------
% 5.45/1.07 % (1224559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.07 % (1224559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.07 % (1224559)CaDiCaL version: 2.1.3
% 5.45/1.07 % (1224559)Termination reason: Instruction limit
% 5.45/1.07 % (1224559)Termination phase: Saturation
% 5.45/1.07 % (1224559)Time elapsed: 0.016 s
% 5.45/1.07 % (1224559)Peak memory usage: 12 MB
% 5.45/1.07 % (1224559)Instructions burned: 32 (million)
% 5.45/1.07 % (1224536)Instruction limit reached!
% 5.45/1.07 % (1224536)------------------------------
% 5.45/1.07 % (1224536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.07 % (1224536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.07 % (1224536)CaDiCaL version: 2.1.3
% 5.45/1.07 % (1224536)Termination reason: Instruction limit
% 5.45/1.07 % (1224536)Termination phase: Saturation
% 5.45/1.07 % (1224536)Time elapsed: 0.172 s
% 5.45/1.07 % (1224536)Peak memory usage: 15 MB
% 5.45/1.07 % (1224536)Instructions burned: 338 (million)
% 5.45/1.07 % (1224564)dis+10_2_sil=128000:si=on:random_seed=116602397:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.45/1.07 % (1224564)Refutation not found, incomplete strategy
% 5.45/1.07 % (1224564)------------------------------
% 5.45/1.07 % (1224564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.07 % (1224564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.07 % (1224564)CaDiCaL version: 2.1.3
% 6.29/1.20 % (1224564)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.20 % (1224564)Time elapsed: 0.001 s
% 6.29/1.20 % (1224564)Peak memory usage: 11 MB
% 6.29/1.20 % (1224564)Instructions burned: 1 (million)
% 6.29/1.20 % (1224564)------------------------------
% 6.29/1.20 % (1224564)------------------------------
% 6.29/1.20 % (1224565)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=48740138:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 6.29/1.20 % (1224541)Instruction limit reached!
% 6.29/1.20 % (1224541)------------------------------
% 6.29/1.20 % (1224541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.20 % (1224541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.20 % (1224541)CaDiCaL version: 2.1.3
% 6.29/1.20 % (1224541)Termination reason: Instruction limit
% 6.29/1.20 % (1224541)Termination phase: Saturation
% 6.29/1.20 % (1224541)Time elapsed: 0.175 s
% 6.29/1.20 % (1224541)Peak memory usage: 14 MB
% 6.29/1.20 % (1224541)Instructions burned: 341 (million)
% 6.29/1.20 % (1224567)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=3617138807:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 6.29/1.20 % (1224567)Refutation not found, incomplete strategy
% 6.29/1.20 % (1224567)------------------------------
% 6.29/1.20 % (1224567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.20 % (1224567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.20 % (1224567)CaDiCaL version: 2.1.3
% 6.29/1.20 % (1224567)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.20 % (1224567)Time elapsed: 0.001 s
% 6.29/1.20 % (1224567)Peak memory usage: 11 MB
% 6.29/1.20 % (1224567)Instructions burned: 1 (million)
% 6.29/1.20 % (1224567)------------------------------
% 6.29/1.20 % (1224567)------------------------------
% 6.29/1.20 % (1224546)Instruction limit reached!
% 6.29/1.20 % (1224546)------------------------------
% 6.29/1.20 % (1224546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.20 % (1224546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.20 % (1224546)CaDiCaL version: 2.1.3
% 6.29/1.20 % (1224546)Termination reason: Instruction limit
% 6.29/1.20 % (1224546)Termination phase: Saturation
% 6.29/1.20 % (1224546)Time elapsed: 0.170 s
% 6.29/1.20 % (1224546)Peak memory usage: 16 MB
% 6.29/1.20 % (1224546)Instructions burned: 375 (million)
% 6.29/1.20 % (1224569)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=2482136134:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.29/1.20 % (1224569)Refutation not found, incomplete strategy
% 6.29/1.20 % (1224569)------------------------------
% 6.29/1.20 % (1224569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.20 % (1224569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.20 % (1224569)CaDiCaL version: 2.1.3
% 6.29/1.20 % (1224569)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.20 % (1224569)Time elapsed: 0.003 s
% 6.29/1.20 % (1224569)Peak memory usage: 12 MB
% 6.29/1.20 % (1224569)Instructions burned: 4 (million)
% 6.29/1.20 % (1224569)------------------------------
% 6.29/1.20 % (1224569)------------------------------
% 6.29/1.20 % (1224571)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2310815504:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.29/1.20 % (1224571)Refutation not found, incomplete strategy
% 6.29/1.20 % (1224571)------------------------------
% 6.29/1.20 % (1224571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.20 % (1224571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.20 % (1224571)CaDiCaL version: 2.1.3
% 6.29/1.20 % (1224571)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.20 % (1224571)Time elapsed: 0.002 s
% 6.29/1.20 % (1224571)Peak memory usage: 12 MB
% 6.29/1.20 % (1224571)Instructions burned: 1 (million)
% 6.29/1.20 % (1224571)------------------------------
% 6.29/1.20 % (1224571)------------------------------
% 6.29/1.20 % (1224572)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=198138257:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.29/1.28 % (1224575)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.29/1.28 % (1224572)Refutation not found, incomplete strategy
% 6.29/1.28 % (1224572)------------------------------
% 6.29/1.28 % (1224572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (1224572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (1224572)CaDiCaL version: 2.1.3
% 6.29/1.28 % (1224572)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.28 % (1224572)Time elapsed: 0.003 s
% 6.29/1.28 % (1224572)Peak memory usage: 11 MB
% 6.29/1.28 % (1224572)Instructions burned: 5 (million)
% 6.29/1.28 % (1224572)------------------------------
% 6.29/1.28 % (1224572)------------------------------
% 6.29/1.28 % (1224575)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=3761828151:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.29/1.28 % (1224576)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2186167567:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.29/1.28 % (1224565)Instruction limit reached!
% 6.29/1.28 % (1224565)------------------------------
% 6.29/1.28 % (1224565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (1224565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (1224565)CaDiCaL version: 2.1.3
% 6.29/1.28 % (1224565)Termination reason: Instruction limit
% 6.29/1.28 % (1224565)Termination phase: Saturation
% 6.29/1.28 % (1224565)Time elapsed: 0.058 s
% 6.29/1.28 % (1224565)Peak memory usage: 12 MB
% 6.29/1.28 % (1224565)Instructions burned: 113 (million)
% 6.29/1.28 % (1224576)Refutation not found, incomplete strategy
% 6.29/1.28 % (1224576)------------------------------
% 6.29/1.28 % (1224576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (1224576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (1224576)CaDiCaL version: 2.1.3
% 6.29/1.28 % (1224576)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.28 % (1224576)Time elapsed: 0.003 s
% 6.29/1.28 % (1224576)Peak memory usage: 13 MB
% 6.29/1.28 % (1224576)Instructions burned: 5 (million)
% 6.29/1.28 % (1224576)------------------------------
% 6.29/1.28 % (1224576)------------------------------
% 6.29/1.28 % (1224578)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=91825402:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.29/1.28 % (1224581)lrs+10_1_sil=128000:si=on:urr=on:random_seed=534637722:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.29/1.28 % (1224582)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3034332486:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.29/1.28 % (1224581)Refutation not found, incomplete strategy
% 6.29/1.28 % (1224581)------------------------------
% 6.29/1.28 % (1224581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (1224581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (1224581)CaDiCaL version: 2.1.3
% 6.29/1.28 % (1224581)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.28 % (1224581)Time elapsed: 0.001 s
% 6.29/1.28 % (1224581)Peak memory usage: 11 MB
% 6.29/1.28 % (1224581)Instructions burned: 1 (million)
% 6.29/1.28 % (1224581)------------------------------
% 6.29/1.28 % (1224581)------------------------------
% 6.29/1.28 % (1224582)Refutation not found, incomplete strategy
% 6.29/1.28 % (1224582)------------------------------
% 6.29/1.28 % (1224582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.28 % (1224582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.28 % (1224582)CaDiCaL version: 2.1.3
% 6.29/1.28 % (1224582)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.28 % (1224582)Time elapsed: 0.001 s
% 6.29/1.28 % (1224582)Peak memory usage: 11 MB
% 6.29/1.28 % (1224582)Instructions burned: 1 (million)
% 6.29/1.28 % (1224582)------------------------------
% 6.29/1.28 % (1224582)------------------------------
% 6.97/1.39 % (1224558)Instruction limit reached!
% 6.97/1.39 % (1224558)------------------------------
% 6.97/1.39 % (1224558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.39 % (1224558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.39 % (1224558)CaDiCaL version: 2.1.3
% 6.97/1.39 % (1224558)Termination reason: Instruction limit
% 6.97/1.39 % (1224558)Termination phase: Saturation
% 6.97/1.39 % (1224558)Time elapsed: 0.129 s
% 6.97/1.39 % (1224558)Peak memory usage: 14 MB
% 6.97/1.39 % (1224558)Instructions burned: 272 (million)
% 6.97/1.39 % (1224586)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2102504640:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 6.97/1.39 % (1224587)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3453000164:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 6.97/1.39 % (1224588)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2585530285:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 6.97/1.39 % (1224586)Refutation not found, incomplete strategy
% 6.97/1.39 % (1224586)------------------------------
% 6.97/1.39 % (1224586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.39 % (1224586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.39 % (1224586)CaDiCaL version: 2.1.3
% 6.97/1.39 % (1224586)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.39 % (1224586)Time elapsed: 0.003 s
% 6.97/1.39 % (1224586)Peak memory usage: 12 MB
% 6.97/1.39 % (1224586)Instructions burned: 5 (million)
% 6.97/1.39 % (1224586)------------------------------
% 6.97/1.39 % (1224586)------------------------------
% 6.97/1.39 % (1224592)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1382065747:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 6.97/1.39 % (1224588)Instruction limit reached!
% 6.97/1.39 % (1224588)------------------------------
% 6.97/1.39 % (1224588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.39 % (1224588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.39 % (1224588)CaDiCaL version: 2.1.3
% 6.97/1.39 % (1224588)Termination reason: Instruction limit
% 6.97/1.39 % (1224588)Termination phase: Saturation
% 6.97/1.39 % (1224588)Time elapsed: 0.037 s
% 6.97/1.39 % (1224588)Peak memory usage: 12 MB
% 6.97/1.39 % (1224588)Instructions burned: 76 (million)
% 6.97/1.39 % (1224594)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=3704044305:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 6.97/1.39 % (1224587)Instruction limit reached!
% 6.97/1.39 % (1224587)------------------------------
% 6.97/1.39 % (1224587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.39 % (1224587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.39 % (1224587)CaDiCaL version: 2.1.3
% 6.97/1.39 % (1224587)Termination reason: Instruction limit
% 6.97/1.39 % (1224587)Termination phase: Saturation
% 6.97/1.39 % (1224587)Time elapsed: 0.073 s
% 6.97/1.39 % (1224587)Peak memory usage: 14 MB
% 6.97/1.39 % (1224587)Instructions burned: 153 (million)
% 6.97/1.39 % (1224596)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=180455712:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 6.97/1.39 % (1224575)Instruction limit reached!
% 6.97/1.39 % (1224575)------------------------------
% 6.97/1.39 % (1224575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.39 % (1224575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.39 % (1224575)CaDiCaL version: 2.1.3
% 6.97/1.39 % (1224575)Termination reason: Instruction limit
% 6.97/1.39 % (1224575)Termination phase: Saturation
% 6.97/1.39 % (1224575)Time elapsed: 0.149 s
% 6.97/1.39 % (1224575)Peak memory usage: 14 MB
% 6.97/1.39 % (1224575)Instructions burned: 282 (million)
% 6.97/1.39 % (1224562)Instruction limit reached!
% 6.97/1.39 % (1224562)------------------------------
% 6.97/1.39 % (1224562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.39 % (1224562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.39 % (1224562)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224562)Termination reason: Instruction limit
% 7.48/1.40 % (1224562)Termination phase: Saturation
% 7.48/1.40 % (1224562)Time elapsed: 0.244 s
% 7.48/1.40 % (1224562)Peak memory usage: 12 MB
% 7.48/1.40 % (1224562)Instructions burned: 1441 (million)
% 7.48/1.40 % (1224598)lrs+10_1_sil=128000:si=on:random_seed=2715381486:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 7.48/1.40 % (1224598)Refutation not found, incomplete strategy
% 7.48/1.40 % (1224598)------------------------------
% 7.48/1.40 % (1224598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224598)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224598)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.40 % (1224598)Time elapsed: 0.001 s
% 7.48/1.40 % (1224598)Peak memory usage: 11 MB
% 7.48/1.40 % (1224598)Instructions burned: 1 (million)
% 7.48/1.40 % (1224598)------------------------------
% 7.48/1.40 % (1224598)------------------------------
% 7.48/1.40 % (1224599)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=2328467231:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 7.48/1.40 % (1224594)Instruction limit reached!
% 7.48/1.40 % (1224594)------------------------------
% 7.48/1.40 % (1224594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224594)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224594)Termination reason: Instruction limit
% 7.48/1.40 % (1224594)Termination phase: Saturation
% 7.48/1.40 % (1224594)Time elapsed: 0.071 s
% 7.48/1.40 % (1224594)Peak memory usage: 12 MB
% 7.48/1.40 % (1224594)Instructions burned: 149 (million)
% 7.48/1.40 % (1224601)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=982409385:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 7.48/1.40 % (1224599)Refutation not found, incomplete strategy
% 7.48/1.40 % (1224599)------------------------------
% 7.48/1.40 % (1224599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224599)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224599)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.40 % (1224599)Time elapsed: 0.023 s
% 7.48/1.40 % (1224599)Peak memory usage: 12 MB
% 7.48/1.40 % (1224599)Instructions burned: 98 (million)
% 7.48/1.40 % (1224599)------------------------------
% 7.48/1.40 % (1224599)------------------------------
% 7.48/1.40 % (1224603)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2099533205:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 7.48/1.40 % (1224605)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2657142575:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 7.48/1.40 % (1224596)Instruction limit reached!
% 7.48/1.40 % (1224596)------------------------------
% 7.48/1.40 % (1224596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224596)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224596)Termination reason: Instruction limit
% 7.48/1.40 % (1224596)Termination phase: Saturation
% 7.48/1.40 % (1224596)Time elapsed: 0.077 s
% 7.48/1.40 % (1224596)Peak memory usage: 13 MB
% 7.48/1.40 % (1224596)Instructions burned: 161 (million)
% 7.48/1.40 % (1224601)Instruction limit reached!
% 7.48/1.40 % (1224601)------------------------------
% 7.48/1.40 % (1224601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224601)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224601)Termination reason: Instruction limit
% 7.48/1.40 % (1224601)Termination phase: Saturation
% 7.48/1.40 % (1224601)Time elapsed: 0.039 s
% 7.48/1.40 % (1224601)Peak memory usage: 12 MB
% 7.48/1.40 % (1224601)Instructions burned: 90 (million)
% 7.48/1.40 % (1224592)Instruction limit reached!
% 7.48/1.40 % (1224592)------------------------------
% 7.48/1.40 % (1224592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224592)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224592)Termination reason: Instruction limit
% 7.48/1.40 % (1224592)Termination phase: Saturation
% 7.48/1.40 % (1224592)Time elapsed: 0.166 s
% 7.48/1.40 % (1224592)Peak memory usage: 12 MB
% 7.48/1.40 % (1224592)Instructions burned: 387 (million)
% 7.48/1.40 % (1224608)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3287168079:s2a=on:i=240:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/240Mi)
% 7.48/1.40 % (1224603)Instruction limit reached!
% 7.48/1.40 % (1224603)------------------------------
% 7.48/1.40 % (1224603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224603)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224603)Termination reason: Instruction limit
% 7.48/1.40 % (1224603)Termination phase: Saturation
% 7.48/1.40 % (1224603)Time elapsed: 0.046 s
% 7.48/1.40 % (1224603)Peak memory usage: 12 MB
% 7.48/1.40 % (1224603)Instructions burned: 95 (million)
% 7.48/1.40 % (1224609)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3461441895:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/805Mi)
% 7.48/1.40 % (1224610)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 7.48/1.40 % (1224610)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=3976372704:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 7.48/1.40 % (1224610)Refutation not found, incomplete strategy
% 7.48/1.40 % (1224610)------------------------------
% 7.48/1.40 % (1224610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224610)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224610)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.40 % (1224610)Time elapsed: 0.001 s
% 7.48/1.40 % (1224610)Peak memory usage: 12 MB
% 7.48/1.40 % (1224610)Instructions burned: 2 (million)
% 7.48/1.40 % (1224610)------------------------------
% 7.48/1.40 % (1224610)------------------------------
% 7.48/1.40 % (1224612)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1506365063:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 7.48/1.40 % (1224615)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3357694087:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 7.48/1.40 % (1224615)Refutation not found, incomplete strategy
% 7.48/1.40 % (1224615)------------------------------
% 7.48/1.40 % (1224615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224615)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224615)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.40 % (1224615)Time elapsed: 0.001 s
% 7.48/1.40 % (1224615)Peak memory usage: 11 MB
% 7.48/1.40 % (1224615)Instructions burned: 1 (million)
% 7.48/1.40 % (1224615)------------------------------
% 7.48/1.40 % (1224615)------------------------------
% 7.48/1.40 % (1224618)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=639431250:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 7.48/1.40 % (1224609)Refutation not found, incomplete strategy
% 7.48/1.40 % (1224609)------------------------------
% 7.48/1.40 % (1224609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224609)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224609)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.40 % (1224609)Time elapsed: 0.080 s
% 7.48/1.40 % (1224609)Peak memory usage: 13 MB
% 7.48/1.40 % (1224609)Instructions burned: 165 (million)
% 7.48/1.40 % (1224609)------------------------------
% 7.48/1.40 % (1224609)------------------------------
% 7.48/1.40 % (1224608) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1224382-1224608"...
% 7.48/1.40 % (1224620)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=320047367: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_2988 on theBenchmark for (2988ds/2470Mi)
% 7.48/1.40 % (1224608)...printing done.
% 7.48/1.40 % (1224608)Refutation found. Thanks to Tanya!
% 7.48/1.40 % SZS status ContradictoryAxioms for theBenchmark
% 7.48/1.40 % SZS output start Proof for theBenchmark
% 7.48/1.40 thf(type_def_5, type, qML_mu: $tType).
% 7.48/1.40 thf(type_def_6, type, qML_i: $tType).
% 7.48/1.40 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 7.48/1.40 thf(func_def_0, type, inconsistency_G: (qML_mu > qML_i > $o)).
% 7.48/1.40 thf(func_def_1, type, incons1905966852QML_mu: (qML_mu > qML_i > $o)).
% 7.48/1.40 thf(func_def_2, type, inconsistency_P: ((qML_mu > qML_i > $o) > qML_i > $o)).
% 7.48/1.40 thf(func_def_3, type, incons1389517216QML_mu: ((qML_mu > qML_i > $o) > qML_mu > qML_i > $o)).
% 7.48/1.40 thf(func_def_4, type, qML_r: (qML_i > qML_i > $o)).
% 7.48/1.40 thf(func_def_6, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 7.48/1.40 thf(func_def_7, type, vIMP: ($o > $o > $o)).
% 7.48/1.40 thf(func_def_8, type, db0: !>[X0: $tType]:(X0)).
% 7.48/1.40 thf(func_def_9, type, db2: !>[X0: $tType]:(X0)).
% 7.48/1.40 thf(func_def_10, type, db1: !>[X0: $tType]:(X0)).
% 7.48/1.40 thf(func_def_11, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 7.48/1.40 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 7.48/1.40 thf(func_def_15, type, vNOT: ($o > $o)).
% 7.48/1.40 thf(func_def_16, type, db5: !>[X0: $tType]:(X0)).
% 7.48/1.40 thf(func_def_17, type, sK0: (qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i)).
% 7.48/1.40 thf(func_def_18, type, sK1: (qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu)).
% 7.48/1.40 thf(func_def_19, type, db4: !>[X0: $tType]:(X0)).
% 7.48/1.40 thf(func_def_20, type, db3: !>[X0: $tType]:(X0)).
% 7.48/1.40 thf(func_def_21, type, sK2: ((qML_mu > qML_i > $o) > qML_i > (qML_mu > qML_i > $o) > qML_mu > qML_i > $o)).
% 7.48/1.40 thf(func_def_22, type, sK3: (qML_i > (qML_mu > qML_i > $o) > qML_mu)).
% 7.48/1.40 thf(func_def_23, type, sK4: ((qML_mu > qML_i > $o) > qML_i > (qML_mu > qML_i > $o) > qML_i)).
% 7.48/1.40 thf(func_def_24, type, sK5: (qML_i > (qML_mu > qML_i > $o) > qML_mu)).
% 7.48/1.40 thf(func_def_25, type, sK6: ((qML_mu > qML_i > $o) > qML_i > (qML_mu > qML_i > $o) > qML_mu)).
% 7.48/1.40 thf(f1,axiom,(
% 7.48/1.40 ! [X1 : (qML_mu > qML_i > $o),X0 : qML_i] : ((inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X1 @ X2 @ X3))) @ X0) => ~(inconsistency_P @ X1 @ X0))),
% 7.48/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_A1a)).
% 7.48/1.40 thf(f3,axiom,(
% 7.48/1.40 ! [X1 : (qML_mu > qML_i > $o),X0 : qML_i,X2 : (qML_mu > qML_i > $o)] : ((! [X3 : qML_i] : ((qML_r @ X0 @ X3) => ! [X4 : qML_mu] : ((X1 @ X4 @ X3) => (X2 @ X4 @ X3))) & (inconsistency_P @ X1 @ X0)) => (inconsistency_P @ X2 @ X0))),
% 7.48/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_A2)).
% 7.48/1.40 thf(f6,axiom,(
% 7.48/1.40 ! [X0 : qML_i] : (inconsistency_P @ incons1905966852QML_mu @ X0)),
% 7.48/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_A5)).
% 7.48/1.40 thf(f8,axiom,(
% 7.48/1.40 ((^[X0 : qML_mu, X1 : qML_i] : (! [X2 : (qML_mu > qML_i > $o)] : ((incons1389517216QML_mu @ X2 @ X0 @ X1) => ! [X3 : qML_i] : ((qML_r @ X1 @ X3) => ? [X4 : qML_mu] : (X2 @ X4 @ X3))))) = incons1905966852QML_mu)),
% 7.48/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_NE__def)).
% 7.48/1.40 thf(f9,axiom,(
% 7.48/1.40 ((^[X0 : (qML_mu > qML_i > $o), X1 : qML_mu, X2 : qML_i] : (! [X3 : (qML_mu > qML_i > $o)] : ((X3 @ X1 @ X2) => ! [X4 : qML_i] : ((qML_r @ X2 @ X4) => ! [X5 : qML_mu] : ((X0 @ X5 @ X4) => (X3 @ X5 @ X4)))))) = incons1389517216QML_mu)),
% 7.48/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_ess__def)).
% 7.48/1.40 thf(f12,plain,(
% 7.48/1.40 ((^[X0 : qML_mu, X1 : qML_i] : (! [X2 : (qML_mu > qML_i > $o)] : ((incons1389517216QML_mu @ X2 @ X0 @ X1) => ! [X3 : qML_i] : ((qML_r @ X1 @ X3) => ? [X4 : qML_mu] : (X2 @ X4 @ X3))))) = incons1905966852QML_mu)),
% 7.48/1.40 inference(rectify,[],[f8])).
% 7.48/1.40 thf(f13,plain,(
% 7.48/1.40 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 7.48/1.40 inference(fool_elimination,[],[f12])).
% 7.48/1.40 thf(f14,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i,X2 : (qML_mu > qML_i > $o)] : ((! [X3 : qML_i] : ((qML_r @ X1 @ X3) => ! [X4 : qML_mu] : ((X0 @ X4 @ X3) => (X2 @ X4 @ X3))) & (inconsistency_P @ X0 @ X1)) => (inconsistency_P @ X2 @ X1))),
% 7.48/1.40 inference(rectify,[],[f3])).
% 7.48/1.40 thf(f15,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i,X2 : (qML_mu > qML_i > $o)] : ((($true = ((inconsistency_P @ X0 @ X1))) & ! [X3 : qML_i] : ((((qML_r @ X1 @ X3)) = $true) => ! [X4 : qML_mu] : (($true = ((X0 @ X4 @ X3))) => (((X2 @ X4 @ X3)) = $true)))) => (((inconsistency_P @ X2 @ X1)) = $true))),
% 7.48/1.40 inference(fool_elimination,[],[f14])).
% 7.48/1.40 thf(f18,plain,(
% 7.48/1.40 ((^[X0 : (qML_mu > qML_i > $o), X1 : qML_mu, X2 : qML_i] : (! [X3 : (qML_mu > qML_i > $o)] : ((X3 @ X1 @ X2) => ! [X4 : qML_i] : ((qML_r @ X2 @ X4) => ! [X5 : qML_mu] : ((X0 @ X5 @ X4) => (X3 @ X5 @ X4)))))) = incons1389517216QML_mu)),
% 7.48/1.40 inference(rectify,[],[f9])).
% 7.48/1.40 thf(f19,plain,(
% 7.48/1.40 (incons1389517216QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 7.48/1.40 inference(fool_elimination,[],[f18])).
% 7.48/1.40 thf(f24,plain,(
% 7.48/1.40 ! [X0 : qML_i] : (inconsistency_P @ incons1905966852QML_mu @ X0)),
% 7.48/1.40 inference(rectify,[],[f6])).
% 7.48/1.40 thf(f25,plain,(
% 7.48/1.40 ! [X0 : qML_i] : (((inconsistency_P @ incons1905966852QML_mu @ X0)) = $true)),
% 7.48/1.40 inference(fool_elimination,[],[f24])).
% 7.48/1.40 thf(f26,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i] : ((inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X0 @ X2 @ X3))) @ X1) => ~(inconsistency_P @ X0 @ X1))),
% 7.48/1.40 inference(rectify,[],[f1])).
% 7.48/1.40 thf(f27,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i] : (($true = ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1))) => ~ ($true = ((inconsistency_P @ X0 @ X1))))),
% 7.48/1.40 inference(fool_elimination,[],[f26])).
% 7.48/1.40 thf(f32,plain,(
% 7.48/1.40 ! [X1 : qML_i,X0 : (qML_mu > qML_i > $o)] : (($true = ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1))) => ($true != ((inconsistency_P @ X0 @ X1))))),
% 7.48/1.40 inference(flattening,[],[f27])).
% 7.48/1.40 thf(f33,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i] : (($true != ((inconsistency_P @ X0 @ X1))) | ($true != ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1))))),
% 7.48/1.40 inference(ennf_transformation,[],[f32])).
% 7.48/1.40 thf(f35,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i,X2 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X2 @ X1)) = $true) | (($true != ((inconsistency_P @ X0 @ X1))) | ? [X3 : qML_i] : (? [X4 : qML_mu] : ((((X2 @ X4 @ X3)) != $true) & ($true = ((X0 @ X4 @ X3)))) & (((qML_r @ X1 @ X3)) = $true))))),
% 7.48/1.40 inference(ennf_transformation,[],[f15])).
% 7.48/1.40 thf(f36,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X2 : (qML_mu > qML_i > $o),X1 : qML_i] : (? [X3 : qML_i] : (? [X4 : qML_mu] : ((((X2 @ X4 @ X3)) != $true) & ($true = ((X0 @ X4 @ X3)))) & (((qML_r @ X1 @ X3)) = $true)) | (((inconsistency_P @ X2 @ X1)) = $true) | ($true != ((inconsistency_P @ X0 @ X1))))),
% 7.48/1.40 inference(flattening,[],[f35])).
% 7.48/1.40 thf(f38,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : (qML_mu > qML_i > $o),X2 : qML_i] : (? [X3 : qML_i] : (? [X4 : qML_mu] : ((((X1 @ X4 @ X3)) != $true) & ($true = ((X0 @ X4 @ X3)))) & ($true = ((qML_r @ X2 @ X3)))) | (((inconsistency_P @ X1 @ X2)) = $true) | ($true != ((inconsistency_P @ X0 @ X2))))),
% 7.48/1.40 inference(rectify,[],[f36])).
% 7.48/1.40 thf(f39,plain,(
% 7.48/1.40 ! [X0 : (qML_mu > qML_i > $o),X1 : (qML_mu > qML_i > $o),X2 : qML_i] : ((((((X1 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0))) != $true) & ($true = ((X0 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0))))) & (((qML_r @ X2 @ (sK0 @ X2 @ X1 @ X0))) = $true)) | (((inconsistency_P @ X1 @ X2)) = $true) | ($true != ((inconsistency_P @ X0 @ X2))))),
% 7.48/1.40 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X4,sK1 @ X2 @ X1 @ X0),skolemize(X4,sK1 @ X2 @ X1 @ X0)],[f38])).
% 7.48/1.40 thf(f41,plain,(
% 7.48/1.40 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 7.48/1.40 inference(cnf_transformation,[],[f13])).
% 7.48/1.40 thf(f42,plain,(
% 7.48/1.40 ( ! [X2 : qML_i,X0 : (qML_mu > qML_i > $o),X1 : (qML_mu > qML_i > $o)] : (($true != ((inconsistency_P @ X0 @ X2))) | (((qML_r @ X2 @ (sK0 @ X2 @ X1 @ X0))) = $true) | (((inconsistency_P @ X1 @ X2)) = $true)) )),
% 7.48/1.40 inference(cnf_transformation,[],[f39])).
% 7.48/1.40 thf(f43,plain,(
% 7.48/1.40 ( ! [X2 : qML_i,X0 : (qML_mu > qML_i > $o),X1 : (qML_mu > qML_i > $o)] : (($true != ((inconsistency_P @ X0 @ X2))) | ($true = ((X0 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0)))) | (((inconsistency_P @ X1 @ X2)) = $true)) )),
% 7.48/1.40 inference(cnf_transformation,[],[f39])).
% 7.48/1.40 thf(f48,plain,(
% 7.48/1.40 ( ! [X0 : qML_i] : ((((inconsistency_P @ incons1905966852QML_mu @ X0)) = $true)) )),
% 7.48/1.40 inference(cnf_transformation,[],[f25])).
% 7.48/1.40 thf(f49,plain,(
% 7.48/1.40 ( ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i] : (($true != ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1))) | ($true != ((inconsistency_P @ X0 @ X1)))) )),
% 7.48/1.40 inference(cnf_transformation,[],[f33])).
% 7.48/1.40 thf(f51,plain,(
% 7.48/1.40 (incons1389517216QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 7.48/1.40 inference(cnf_transformation,[],[f19])).
% 7.48/1.40 thf(f54,plain,(
% 7.48/1.40 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((^[Y3 : qML_mu > qML_i > $o]: ((^[Y4 : qML_mu]: ((^[Y5 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y5 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 7.48/1.40 inference(definition_unfolding,[],[f41,f51])).
% 7.48/1.40 thf(f56,plain,(
% 7.48/1.40 ( ! [X0 : qML_i] : (($true = ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((^[Y3 : qML_mu > qML_i > $o]: ((^[Y4 : qML_mu]: ((^[Y5 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y5 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ X0)))) )),
% 7.48/1.40 inference(definition_unfolding,[],[f48,f54])).
% 7.48/1.40 thf(f57,plain,(
% 7.48/1.40 ( ! [X0 : qML_i] : ((((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ X0)) = $true)) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f56])).
% 7.48/1.40 thf(f279,plain,(
% 7.48/1.40 ( ! [X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | ($true != $true) | ((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ (sK1 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))))) = $true)) )),
% 7.48/1.40 inference(constrained_superposition,[],[f43,f57])).
% 7.48/1.40 thf(f280,plain,(
% 7.48/1.40 ( ! [X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = ((qML_r @ X0 @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))))) | ($true != $true) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(constrained_superposition,[],[f42,f57])).
% 7.48/1.40 thf(f282,plain,(
% 7.48/1.40 ( ! [X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = ((qML_r @ X0 @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(trivial_inequality_removal,[],[f280])).
% 7.48/1.40 thf(f284,plain,(
% 7.48/1.40 ( ! [X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | ((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ (sK1 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))))) = $true)) )),
% 7.48/1.40 inference(trivial_inequality_removal,[],[f279])).
% 7.48/1.40 thf(f285,plain,(
% 7.48/1.40 ( ! [X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ (sK1 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5)))))))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y3 : qML_mu]: ((^[Y4 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y3 @ Y4) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y4 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y5 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7)))))))))) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y4 @ Y6) => (?? @ qML_mu @ (^[Y7 : qML_mu]: (Y5 @ Y7 @ Y6))))))))))))) @ Y2) => (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ Y1) => (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1))))))))))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f284])).
% 7.48/1.40 thf(f286,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = (((^[Y0 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ (sK1 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5)))))))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y3 : qML_mu]: ((^[Y4 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y3 @ Y4) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y4 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y5 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7)))))))))) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y4 @ Y6) => (?? @ qML_mu @ (^[Y7 : qML_mu]: (Y5 @ Y7 @ Y6))))))))))))) @ Y2) => (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ Y1) => (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1)))))))) @ X2))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(pi_proxy_clausification,[],[f285])).
% 7.48/1.40 thf(f287,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | ($true = (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK1 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4)))))))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X2 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X2 @ Y1 @ Y0)))))))))) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f286])).
% 7.48/1.40 thf(f288,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK1 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4)))))))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X2 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))))) = $false) | ($true = ((!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X2 @ Y1 @ Y0)))))))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(imp_proxy_clausification,[],[f287])).
% 7.48/1.40 thf(f289,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = ((!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X2 @ Y1 @ Y0)))))))) | ($false = (((^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK1 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4)))))))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X2 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))) @ (sK2 @ X1 @ X0 @ X2)))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(sigma_proxy_clausification,[],[f288])).
% 7.48/1.40 thf(f290,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | ($false = (((^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK1 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4)))))))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: ((qML_r @ Y3 @ Y6) => (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y3 @ Y5) => (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))))) @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X2 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))) @ (sK2 @ X1 @ X0 @ X2)))) | ((((^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X2 @ Y1 @ Y0))))) @ X3)) = $true)) )),
% 7.48/1.40 inference(pi_proxy_clausification,[],[f289])).
% 7.48/1.40 thf(f291,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($false = (((sK2 @ X1 @ X0 @ X2 @ (sK1 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X2 @ Y1 @ Y0) => (sK2 @ X1 @ X0 @ X2 @ Y1 @ Y0)))))))))) | ($true = (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X2 @ Y0 @ X3)))))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f290])).
% 7.48/1.40 thf(f292,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | (((!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X2 @ Y1 @ Y0) => (sK2 @ X1 @ X0 @ X2 @ Y1 @ Y0)))))))) = $false) | ($true = (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X2 @ Y0 @ X3))))))) )),
% 7.48/1.40 inference(imp_proxy_clausification,[],[f291])).
% 7.48/1.40 thf(f297,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X2 @ Y0 @ X3)))))) | ((((^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X2 @ Y1 @ Y0) => (sK2 @ X1 @ X0 @ X2 @ Y1 @ Y0)))))) @ (sK4 @ X1 @ X0 @ X2))) = $false) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(sigma_proxy_clausification,[],[f292])).
% 7.48/1.40 thf(f298,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (((((^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X2 @ Y1 @ Y0) => (sK2 @ X1 @ X0 @ X2 @ Y1 @ Y0)))))) @ (sK4 @ X1 @ X0 @ X2))) = $false) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | (((?? @ qML_mu @ (^[Y0 : qML_mu]: (X2 @ Y0 @ X3)))) = $true) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(imp_proxy_clausification,[],[f297])).
% 7.48/1.40 thf(f299,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (((((^[Y0 : qML_mu]: (X2 @ Y0 @ X3)) @ (sK5 @ X3 @ X2))) = $true) | (((inconsistency_P @ X1 @ X0)) = $true) | ((((^[Y0 : qML_i]: ((qML_r @ (sK0 @ X0 @ X1 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((Y4 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y5 : qML_i]: ((qML_r @ Y2 @ Y5) => (!! @ qML_mu @ (^[Y6 : qML_mu]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5)))))))))) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))))) @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X2 @ Y1 @ Y0) => (sK2 @ X1 @ X0 @ X2 @ Y1 @ Y0)))))) @ (sK4 @ X1 @ X0 @ X2))) = $false) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false)) )),
% 7.48/1.40 inference(sigma_proxy_clausification,[],[f298])).
% 7.48/1.40 thf(f300,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | ($false = (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ (sK4 @ X1 @ X0 @ X2)) => (!! @ qML_mu @ (^[Y0 : qML_mu]: ((X2 @ Y0 @ (sK4 @ X1 @ X0 @ X2)) => (sK2 @ X1 @ X0 @ X2 @ Y0 @ (sK4 @ X1 @ X0 @ X2)))))))) | (((X2 @ (sK5 @ X3 @ X2) @ X3)) = $true)) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f299])).
% 7.48/1.40 thf(f301,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | (((X2 @ (sK5 @ X3 @ X2) @ X3)) = $true) | ($false = ((!! @ qML_mu @ (^[Y0 : qML_mu]: ((X2 @ Y0 @ (sK4 @ X1 @ X0 @ X2)) => (sK2 @ X1 @ X0 @ X2 @ Y0 @ (sK4 @ X1 @ X0 @ X2))))))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(imp_proxy_clausification,[],[f300])).
% 7.48/1.40 thf(f303,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($false = (((^[Y0 : qML_mu]: ((X2 @ Y0 @ (sK4 @ X1 @ X0 @ X2)) => (sK2 @ X1 @ X0 @ X2 @ Y0 @ (sK4 @ X1 @ X0 @ X2)))) @ (sK6 @ X1 @ X0 @ X2)))) | (((inconsistency_P @ X1 @ X0)) = $true) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | (((X2 @ (sK5 @ X3 @ X2) @ X3)) = $true)) )),
% 7.48/1.40 inference(sigma_proxy_clausification,[],[f301])).
% 7.48/1.40 thf(f304,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($false = (((X2 @ (sK6 @ X1 @ X0 @ X2) @ (sK4 @ X1 @ X0 @ X2)) => (sK2 @ X1 @ X0 @ X2 @ (sK6 @ X1 @ X0 @ X2) @ (sK4 @ X1 @ X0 @ X2))))) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | (((X2 @ (sK5 @ X3 @ X2) @ X3)) = $true) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f303])).
% 7.48/1.40 thf(f306,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | ($true = ((X2 @ (sK6 @ X1 @ X0 @ X2) @ (sK4 @ X1 @ X0 @ X2)))) | (((X2 @ (sK5 @ X3 @ X2) @ X3)) = $true) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(imp_proxy_clausification,[],[f304])).
% 7.48/1.40 thf(f768,plain,(
% 7.48/1.40 ( ! [X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK5 @ X3 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) @ X3)) = $true) | (((inconsistency_P @ X1 @ X0)) = $true) | ($true = (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK6 @ X1 @ X0 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) @ (sK4 @ X1 @ X0 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))))) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false)) )),
% 7.48/1.40 inference(primitive_instantiation,[],[f306])).
% 7.48/1.40 thf(f776,plain,(
% 7.48/1.40 ( ! [X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = $false) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | (((inconsistency_P @ X1 @ X0)) = $true) | ($true = $false)) )),
% 7.48/1.40 inference(beta-eta_normalization,[],[f768])).
% 7.48/1.40 thf(f777,plain,(
% 7.48/1.40 ( ! [X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = $false) | (((inconsistency_P @ X1 @ X0)) = $true) | (((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false)) )),
% 7.48/1.40 inference(duplicate_literal_removal,[],[f776])).
% 7.48/1.40 thf(f778,plain,(
% 7.48/1.40 ( ! [X3 : qML_i,X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((qML_r @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))) @ X3)) = $false) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(trivial_inequality_removal,[],[f777])).
% 7.48/1.40 thf(f789,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : ((((inconsistency_P @ X1 @ X0)) = $true) | ($true = ((inconsistency_P @ X2 @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))))) | ($true = $false)) )),
% 7.48/1.40 inference(constrained_superposition,[],[f778,f282])).
% 7.48/1.40 thf(f796,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : qML_i,X1 : (qML_mu > qML_i > $o)] : (($true = ((inconsistency_P @ X2 @ (sK0 @ X0 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))))) | (((inconsistency_P @ X1 @ X0)) = $true)) )),
% 7.48/1.40 inference(trivial_inequality_removal,[],[f789])).
% 7.48/1.40 thf(f809,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : (qML_mu > qML_i > $o),X1 : qML_i] : ((((inconsistency_P @ X0 @ (sK0 @ X1 @ X2 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))))) != $true) | (((inconsistency_P @ X2 @ X1)) = $true) | ($true != $true)) )),
% 7.48/1.40 inference(constrained_superposition,[],[f49,f796])).
% 7.48/1.40 thf(f810,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X0 : (qML_mu > qML_i > $o),X1 : qML_i] : ((((inconsistency_P @ X0 @ (sK0 @ X1 @ X2 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))))) != $true) | (((inconsistency_P @ X2 @ X1)) = $true)) )),
% 7.48/1.40 inference(trivial_inequality_removal,[],[f809])).
% 7.48/1.40 thf(f816,plain,(
% 7.48/1.40 ( ! [X2 : (qML_mu > qML_i > $o),X1 : qML_i] : ((((inconsistency_P @ X2 @ X1)) = $true)) )),
% 7.48/1.40 inference(forward_subsumption_resolution,[],[f810,f796])).
% 7.48/1.40 thf(f824,plain,(
% 7.48/1.40 ( ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i] : (($true != $true) | ($true != ((inconsistency_P @ X0 @ X1)))) )),
% 7.48/1.40 inference(constrained_superposition,[],[f49,f816])).
% 7.48/1.40 thf(f838,plain,(
% 7.48/1.40 ( ! [X0 : (qML_mu > qML_i > $o),X1 : qML_i] : (($true != ((inconsistency_P @ X0 @ X1)))) )),
% 7.48/1.40 inference(trivial_inequality_removal,[],[f824])).
% 7.48/1.40 thf(f841,plain,(
% 7.48/1.40 $false),
% 7.48/1.40 inference(forward_subsumption_resolution,[],[f838,f816])).
% 7.48/1.40 % SZS output end Proof for theBenchmark
% 7.48/1.40 % (1224608)------------------------------
% 7.48/1.40 % (1224608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.40 % (1224608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.40 % (1224608)CaDiCaL version: 2.1.3
% 7.48/1.40 % (1224608)Termination reason: Refutation
% 7.48/1.40 % (1224608)Time elapsed: 0.112 s
% 7.48/1.40 % (1224608)Peak memory usage: 14 MB
% 7.48/1.40 % (1224608)Instructions burned: 238 (million)
% 7.48/1.40 % (1224382)Success in time 1.143 s
% 7.48/1.40 % Vampire exiting
%------------------------------------------------------------------------------