%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU969^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:32:03 AM UTC 2026
% Result : Theorem 1.28s 0.50s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU969^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n004.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 14:53:31 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.26 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.38 % (1392739)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.38 % (1392744)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2842021724:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.38 % (1392750)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.38 % (1392750)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
% 0.56/0.38 % (1392744)Refutation not found, incomplete strategy
% 0.56/0.38 % (1392744)------------------------------
% 0.56/0.38 % (1392744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.38 % (1392744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.38 % (1392744)CaDiCaL version: 2.1.3
% 0.56/0.38 % (1392744)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.38 % (1392744)Time elapsed: 0.004 s
% 0.56/0.38 % (1392744)Peak memory usage: 12 MB
% 0.56/0.38 % (1392744)Instructions burned: 10 (million)
% 0.56/0.38 % (1392744)------------------------------
% 0.56/0.38 % (1392744)------------------------------
% 0.56/0.38 % (1392748)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=361578559:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.38 % (1392745)lrs+10_16_si=on:nwc=1.5:random_seed=1691245611:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.38 % (1392746)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3690497933:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.38 % (1392750)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=1447178305:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.38 % (1392747)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=4140974884: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)
% 0.56/0.38 % (1392749)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4010466362:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.38 % (1392746)Refutation not found, incomplete strategy
% 0.56/0.38 % (1392746)------------------------------
% 0.56/0.38 % (1392746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.38 % (1392746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.38 % (1392746)CaDiCaL version: 2.1.3
% 0.56/0.38 % (1392746)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.38 % (1392746)Time elapsed: 0.002 s
% 0.56/0.38 % (1392746)Peak memory usage: 12 MB
% 0.56/0.38 % (1392746)Instructions burned: 2 (million)
% 0.56/0.38 % (1392746)------------------------------
% 0.56/0.38 % (1392746)------------------------------
% 0.56/0.38 % (1392750)Refutation not found, incomplete strategy
% 0.56/0.38 % (1392750)------------------------------
% 0.56/0.38 % (1392750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.38 % (1392750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.38 % (1392750)CaDiCaL version: 2.1.3
% 0.56/0.38 % (1392750)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.38 % (1392750)Time elapsed: 0.007 s
% 0.56/0.38 % (1392750)Peak memory usage: 12 MB
% 0.56/0.38 % (1392750)Instructions burned: 11 (million)
% 0.56/0.38 % (1392750)------------------------------
% 0.56/0.38 % (1392750)------------------------------
% 0.56/0.38 % (1392752)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=850560539:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.38 % (1392752)Instruction limit reached!
% 0.56/0.38 % (1392752)------------------------------
% 0.56/0.38 % (1392752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.38 % (1392752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.38 % (1392752)CaDiCaL version: 2.1.3
% 0.56/0.38 % (1392752)Termination reason: Instruction limit
% 0.56/0.38 % (1392752)Termination phase: Saturation
% 0.56/0.38 % (1392752)Time elapsed: 0.001 s
% 0.56/0.40 % (1392752)Peak memory usage: 11 MB
% 0.56/0.40 % (1392752)Instructions burned: 3 (million)
% 0.56/0.40 % (1392745)Instruction limit reached!
% 0.56/0.40 % (1392745)------------------------------
% 0.56/0.40 % (1392745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1392745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1392745)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1392745)Termination reason: Instruction limit
% 0.56/0.40 % (1392745)Termination phase: Saturation
% 0.56/0.40 % (1392745)Time elapsed: 0.011 s
% 0.56/0.40 % (1392745)Peak memory usage: 12 MB
% 0.56/0.40 % (1392745)Instructions burned: 19 (million)
% 0.56/0.40 % (1392748)Instruction limit reached!
% 0.56/0.40 % (1392748)------------------------------
% 0.56/0.40 % (1392748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1392748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1392748)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1392748)Termination reason: Instruction limit
% 0.56/0.40 % (1392748)Termination phase: Saturation
% 0.56/0.40 % (1392748)Time elapsed: 0.015 s
% 0.56/0.40 % (1392748)Peak memory usage: 12 MB
% 0.56/0.40 % (1392748)Instructions burned: 27 (million)
% 0.56/0.40 % (1392762)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3508279209:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.56/0.40 % (1392759)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1786449945:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.40 % (1392760)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.40 % (1392763)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
% 0.56/0.40 % (1392762)Instruction limit reached!
% 0.56/0.40 % (1392762)------------------------------
% 0.56/0.40 % (1392762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1392762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1392762)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1392762)Termination reason: Instruction limit
% 0.56/0.40 % (1392762)Termination phase: Saturation
% 0.56/0.40 % (1392762)Time elapsed: 0.004 s
% 0.56/0.40 % (1392762)Peak memory usage: 12 MB
% 0.56/0.40 % (1392762)Instructions burned: 14 (million)
% 0.56/0.40 % (1392763)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.40 % (1392759)Instruction limit reached!
% 0.56/0.40 % (1392759)------------------------------
% 0.56/0.40 % (1392759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1392759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1392759)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1392760)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1635171097:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.40 % (1392759)Termination reason: Instruction limit
% 0.56/0.40 % (1392759)Termination phase: Saturation
% 0.56/0.40 % (1392759)Time elapsed: 0.004 s
% 0.56/0.40 % (1392759)Peak memory usage: 12 MB
% 0.56/0.40 % (1392759)Instructions burned: 6 (million)
% 0.56/0.40 % (1392763)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1792190859:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.40 % (1392760)Instruction limit reached!
% 0.56/0.40 % (1392760)------------------------------
% 0.56/0.40 % (1392760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1392760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1392760)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1392760)Termination reason: Instruction limit
% 0.56/0.40 % (1392760)Termination phase: Saturation
% 0.56/0.40 % (1392760)Time elapsed: 0.005 s
% 0.56/0.40 % (1392760)Peak memory usage: 12 MB
% 0.56/0.40 % (1392760)Instructions burned: 10 (million)
% 0.56/0.40 % (1392764)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=1627509426:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.56/0.42 % (1392768)lrs+10_1_si=on:cs=on:random_seed=382207119:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.42 % (1392749)Instruction limit reached!
% 0.56/0.42 % (1392749)------------------------------
% 0.56/0.42 % (1392749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (1392749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (1392749)CaDiCaL version: 2.1.3
% 0.56/0.42 % (1392749)Termination reason: Instruction limit
% 0.56/0.42 % (1392749)Termination phase: Saturation
% 0.56/0.42 % (1392749)Time elapsed: 0.039 s
% 0.56/0.42 % (1392749)Peak memory usage: 13 MB
% 0.56/0.42 % (1392749)Instructions burned: 76 (million)
% 0.56/0.42 % (1392768)Instruction limit reached!
% 0.56/0.42 % (1392768)------------------------------
% 0.56/0.42 % (1392768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (1392768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (1392768)CaDiCaL version: 2.1.3
% 0.56/0.42 % (1392768)Termination reason: Instruction limit
% 0.56/0.42 % (1392768)Termination phase: Saturation
% 0.56/0.42 % (1392768)Time elapsed: 0.002 s
% 0.56/0.42 % (1392768)Peak memory usage: 12 MB
% 0.56/0.42 % (1392768)Instructions burned: 9 (million)
% 0.56/0.42 % (1392769)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.56/0.42 % (1392763)Instruction limit reached!
% 0.56/0.42 % (1392763)------------------------------
% 0.56/0.42 % (1392763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (1392763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (1392763)CaDiCaL version: 2.1.3
% 0.56/0.42 % (1392763)Termination reason: Instruction limit
% 0.56/0.42 % (1392763)Termination phase: Saturation
% 0.56/0.42 % (1392763)Time elapsed: 0.015 s
% 0.56/0.42 % (1392763)Peak memory usage: 12 MB
% 0.56/0.42 % (1392763)Instructions burned: 28 (million)
% 0.56/0.42 % (1392769)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=2197058959:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.42 % (1392769)Instruction limit reached!
% 0.56/0.42 % (1392769)------------------------------
% 0.56/0.42 % (1392769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (1392769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (1392769)CaDiCaL version: 2.1.3
% 0.56/0.42 % (1392769)Termination reason: Instruction limit
% 0.56/0.42 % (1392769)Termination phase: Saturation
% 0.56/0.42 % (1392769)Time elapsed: 0.002 s
% 0.56/0.42 % (1392769)Peak memory usage: 12 MB
% 0.56/0.42 % (1392769)Instructions burned: 3 (million)
% 0.56/0.42 % (1392771)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3049626295:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.56/0.42 % (1392775)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2401115509:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.56/0.42 % (1392771)Refutation not found, incomplete strategy
% 0.56/0.42 % (1392771)------------------------------
% 0.56/0.42 % (1392771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (1392771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (1392771)CaDiCaL version: 2.1.3
% 0.56/0.42 % (1392771)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.42 % (1392771)Time elapsed: 0.002 s
% 0.56/0.42 % (1392771)Peak memory usage: 12 MB
% 0.56/0.42 % (1392771)Instructions burned: 2 (million)
% 0.56/0.42 % (1392771)------------------------------
% 0.56/0.42 % (1392771)------------------------------
% 0.56/0.42 % (1392774)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2932777059:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.56/0.42 % (1392775)Instruction limit reached!
% 0.56/0.42 % (1392775)------------------------------
% 0.56/0.42 % (1392775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42 % (1392775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42 % (1392775)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1392775)Termination reason: Instruction limit
% 0.56/0.45 % (1392775)Termination phase: Saturation
% 0.56/0.45 % (1392775)Time elapsed: 0.008 s
% 0.56/0.45 % (1392775)Peak memory usage: 12 MB
% 0.56/0.45 % (1392775)Instructions burned: 27 (million)
% 0.56/0.45 % (1392776)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3883245463:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.56/0.45 % (1392774)Refutation not found, incomplete strategy
% 0.56/0.45 % (1392774)------------------------------
% 0.56/0.45 % (1392774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1392774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1392774)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1392774)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.45 % (1392774)Time elapsed: 0.007 s
% 0.56/0.45 % (1392774)Peak memory usage: 12 MB
% 0.56/0.45 % (1392774)Instructions burned: 11 (million)
% 0.56/0.45 % (1392774)------------------------------
% 0.56/0.45 % (1392774)------------------------------
% 0.56/0.45 % (1392778)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3298017231:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.56/0.45 % (1392783)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=201488300:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.45 % (1392764)Instruction limit reached!
% 0.56/0.45 % (1392764)------------------------------
% 0.56/0.45 % (1392764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1392764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1392764)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1392764)Termination reason: Instruction limit
% 0.56/0.45 % (1392764)Termination phase: Saturation
% 0.56/0.45 % (1392764)Time elapsed: 0.037 s
% 0.56/0.45 % (1392764)Peak memory usage: 12 MB
% 0.56/0.45 % (1392764)Instructions burned: 87 (million)
% 0.56/0.45 % (1392776)Refutation not found, incomplete strategy
% 0.56/0.45 % (1392776)------------------------------
% 0.56/0.45 % (1392776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1392776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1392776)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1392776)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.45 % (1392776)Time elapsed: 0.007 s
% 0.56/0.45 % (1392776)Peak memory usage: 12 MB
% 0.56/0.45 % (1392776)Instructions burned: 11 (million)
% 0.56/0.45 % (1392783)Instruction limit reached!
% 0.56/0.45 % (1392783)------------------------------
% 0.56/0.45 % (1392783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1392783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1392783)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1392783)Termination reason: Instruction limit
% 0.56/0.45 % (1392783)Termination phase: Saturation
% 0.56/0.45 % (1392783)Time elapsed: 0.001 s
% 0.56/0.45 % (1392783)Peak memory usage: 12 MB
% 0.56/0.45 % (1392783)Instructions burned: 3 (million)
% 0.56/0.45 % (1392776)------------------------------
% 0.56/0.45 % (1392776)------------------------------
% 0.56/0.45 % (1392781)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2037626979:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.56/0.45 % (1392778)Refutation not found, incomplete strategy
% 0.56/0.45 % (1392778)------------------------------
% 0.56/0.45 % (1392778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1392778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1392778)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1392778)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.45 % (1392778)Time elapsed: 0.007 s
% 0.56/0.45 % (1392778)Peak memory usage: 12 MB
% 0.56/0.45 % (1392778)Instructions burned: 12 (million)
% 0.56/0.45 % (1392778)------------------------------
% 0.56/0.45 % (1392778)------------------------------
% 0.56/0.45 % (1392781)Instruction limit reached!
% 0.56/0.45 % (1392781)------------------------------
% 0.56/0.45 % (1392781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1392781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1392781)CaDiCaL version: 2.1.3
% 1.28/0.48 % (1392781)Termination reason: Instruction limit
% 1.28/0.48 % (1392781)Termination phase: Saturation
% 1.28/0.48 % (1392781)Time elapsed: 0.008 s
% 1.28/0.48 % (1392781)Peak memory usage: 12 MB
% 1.28/0.48 % (1392781)Instructions burned: 15 (million)
% 1.28/0.48 % (1392789)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3839654705:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.28/0.48 % (1392785)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3062554023:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.28/0.48 % (1392791)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.28/0.48 % (1392791)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.28/0.48 % (1392788)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=999257728:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.28/0.48 % (1392785)Refutation not found, incomplete strategy
% 1.28/0.48 % (1392785)------------------------------
% 1.28/0.48 % (1392785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.48 % (1392785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.48 % (1392785)CaDiCaL version: 2.1.3
% 1.28/0.48 % (1392785)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.48 % (1392785)Time elapsed: 0.004 s
% 1.28/0.48 % (1392785)Peak memory usage: 12 MB
% 1.28/0.48 % (1392785)Instructions burned: 7 (million)
% 1.28/0.48 % (1392791)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=2440157439:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.48 % (1392785)------------------------------
% 1.28/0.48 % (1392785)------------------------------
% 1.28/0.48 % (1392792)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.28/0.48 % (1392792)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=2802417546:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.28/0.48 % (1392789)Instruction limit reached!
% 1.28/0.48 % (1392789)------------------------------
% 1.28/0.48 % (1392789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.48 % (1392789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.48 % (1392789)CaDiCaL version: 2.1.3
% 1.28/0.48 % (1392789)Termination reason: Instruction limit
% 1.28/0.48 % (1392789)Termination phase: Saturation
% 1.28/0.48 % (1392789)Time elapsed: 0.016 s
% 1.28/0.48 % (1392789)Peak memory usage: 12 MB
% 1.28/0.48 % (1392789)Instructions burned: 60 (million)
% 1.28/0.48 % (1392791)Instruction limit reached!
% 1.28/0.48 % (1392791)------------------------------
% 1.28/0.48 % (1392791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.48 % (1392791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.48 % (1392791)CaDiCaL version: 2.1.3
% 1.28/0.48 % (1392791)Termination reason: Instruction limit
% 1.28/0.48 % (1392791)Termination phase: Saturation
% 1.28/0.48 % (1392791)Time elapsed: 0.009 s
% 1.28/0.48 % (1392791)Peak memory usage: 12 MB
% 1.28/0.48 % (1392791)Instructions burned: 14 (million)
% 1.28/0.48 % (1392794)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=128848671:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.28/0.48 % (1392788)Instruction limit reached!
% 1.28/0.48 % (1392788)------------------------------
% 1.28/0.48 % (1392788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.48 % (1392788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.48 % (1392788)CaDiCaL version: 2.1.3
% 1.28/0.48 % (1392788)Termination reason: Instruction limit
% 1.28/0.48 % (1392788)Termination phase: Saturation
% 1.28/0.48 % (1392788)Time elapsed: 0.012 s
% 1.28/0.48 % (1392788)Peak memory usage: 12 MB
% 1.28/0.48 % (1392788)Instructions burned: 23 (million)
% 1.28/0.50 % (1392792)Instruction limit reached!
% 1.28/0.50 % (1392792)------------------------------
% 1.28/0.50 % (1392792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392792)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392792)Termination reason: Instruction limit
% 1.28/0.50 % (1392792)Termination phase: Saturation
% 1.28/0.50 % (1392792)Time elapsed: 0.005 s
% 1.28/0.50 % (1392792)Peak memory usage: 12 MB
% 1.28/0.50 % (1392792)Instructions burned: 9 (million)
% 1.28/0.50 % (1392800)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2378749741:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.28/0.50 % (1392798)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=236083589:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.28/0.50 % (1392800)Instruction limit reached!
% 1.28/0.50 % (1392800)------------------------------
% 1.28/0.50 % (1392800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392800)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392800)Termination reason: Instruction limit
% 1.28/0.50 % (1392800)Termination phase: Saturation
% 1.28/0.50 % (1392800)Time elapsed: 0.005 s
% 1.28/0.50 % (1392800)Peak memory usage: 11 MB
% 1.28/0.50 % (1392800)Instructions burned: 26 (million)
% 1.28/0.50 % (1392798)Instruction limit reached!
% 1.28/0.50 % (1392798)------------------------------
% 1.28/0.50 % (1392798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392798)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392798)Termination reason: Instruction limit
% 1.28/0.50 % (1392798)Termination phase: Saturation
% 1.28/0.50 % (1392798)Time elapsed: 0.004 s
% 1.28/0.50 % (1392798)Peak memory usage: 12 MB
% 1.28/0.50 % (1392798)Instructions burned: 7 (million)
% 1.28/0.50 % (1392794)Instruction limit reached!
% 1.28/0.50 % (1392794)------------------------------
% 1.28/0.50 % (1392794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392794)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392794)Termination reason: Instruction limit
% 1.28/0.50 % (1392794)Termination phase: Saturation
% 1.28/0.50 % (1392794)Time elapsed: 0.014 s
% 1.28/0.50 % (1392794)Peak memory usage: 12 MB
% 1.28/0.50 % (1392794)Instructions burned: 32 (million)
% 1.28/0.50 % (1392802)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3031070741:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.28/0.50 % (1392803)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=174610359:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.28/0.50 % (1392804)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3598982322:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.28/0.50 % (1392807)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=10238599:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.28/0.50 % (1392807)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392807)------------------------------
% 1.28/0.50 % (1392807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392807)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392807)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392807)Time elapsed: 0.004 s
% 1.28/0.50 % (1392807)Peak memory usage: 12 MB
% 1.28/0.50 % (1392807)Instructions burned: 11 (million)
% 1.28/0.50 % (1392807)------------------------------
% 1.28/0.50 % (1392807)------------------------------
% 1.28/0.50 % (1392809)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.28/0.50 % (1392802)Instruction limit reached!
% 1.28/0.50 % (1392802)------------------------------
% 1.28/0.50 % (1392802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392802)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392802)Termination reason: Instruction limit
% 1.28/0.50 % (1392802)Termination phase: Saturation
% 1.28/0.50 % (1392802)Time elapsed: 0.012 s
% 1.28/0.50 % (1392802)Peak memory usage: 12 MB
% 1.28/0.50 % (1392802)Instructions burned: 21 (million)
% 1.28/0.50 % (1392803)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392803)------------------------------
% 1.28/0.50 % (1392803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392803)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392803)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392803)Time elapsed: 0.012 s
% 1.28/0.50 % (1392803)Peak memory usage: 12 MB
% 1.28/0.50 % (1392803)Instructions burned: 22 (million)
% 1.28/0.50 % (1392803)------------------------------
% 1.28/0.50 % (1392803)------------------------------
% 1.28/0.50 % (1392809)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2316837216:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.28/0.50 % (1392808)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1422549585:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.28/0.50 % (1392814)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2449790536:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.28/0.50 % (1392809)Instruction limit reached!
% 1.28/0.50 % (1392809)------------------------------
% 1.28/0.50 % (1392809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392809)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392809)Termination reason: Instruction limit
% 1.28/0.50 % (1392809)Termination phase: Saturation
% 1.28/0.50 % (1392809)Time elapsed: 0.005 s
% 1.28/0.50 % (1392809)Peak memory usage: 12 MB
% 1.28/0.50 % (1392809)Instructions burned: 8 (million)
% 1.28/0.50 % (1392814)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392814)------------------------------
% 1.28/0.50 % (1392814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392814)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392814)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392814)Time elapsed: 0.001 s
% 1.28/0.50 % (1392814)Peak memory usage: 12 MB
% 1.28/0.50 % (1392814)Instructions burned: 3 (million)
% 1.28/0.50 % (1392814)------------------------------
% 1.28/0.50 % (1392814)------------------------------
% 1.28/0.50 % (1392818)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.28/0.50 % (1392815)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=2452078656: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)
% 1.28/0.50 % (1392818)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=770576393:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.28/0.50 % (1392821)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1695963062:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.28/0.50 % (1392815)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392815)------------------------------
% 1.28/0.50 % (1392815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392815)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392815)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392815)Time elapsed: 0.007 s
% 1.28/0.50 % (1392815)Peak memory usage: 13 MB
% 1.28/0.50 % (1392815)Instructions burned: 11 (million)
% 1.28/0.50 % (1392818)Instruction limit reached!
% 1.28/0.50 % (1392818)------------------------------
% 1.28/0.50 % (1392818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392818)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392818)Termination reason: Instruction limit
% 1.28/0.50 % (1392818)Termination phase: Saturation
% 1.28/0.50 % (1392818)Time elapsed: 0.004 s
% 1.28/0.50 % (1392818)Peak memory usage: 12 MB
% 1.28/0.50 % (1392818)Instructions burned: 7 (million)
% 1.28/0.50 % (1392815)------------------------------
% 1.28/0.50 % (1392815)------------------------------
% 1.28/0.50 % (1392808)Instruction limit reached!
% 1.28/0.50 % (1392808)------------------------------
% 1.28/0.50 % (1392808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392820)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2445611347:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.28/0.50 % (1392808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392808)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392808)Termination reason: Instruction limit
% 1.28/0.50 % (1392808)Termination phase: Saturation
% 1.28/0.50 % (1392808)Time elapsed: 0.023 s
% 1.28/0.50 % (1392808)Peak memory usage: 12 MB
% 1.28/0.50 % (1392808)Instructions burned: 45 (million)
% 1.28/0.50 % (1392821)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392821)------------------------------
% 1.28/0.50 % (1392821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392821)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392821)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392821)Time elapsed: 0.006 s
% 1.28/0.50 % (1392821)Peak memory usage: 13 MB
% 1.28/0.50 % (1392821)Instructions burned: 21 (million)
% 1.28/0.50 % (1392821)------------------------------
% 1.28/0.50 % (1392821)------------------------------
% 1.28/0.50 % (1392820)Instruction limit reached!
% 1.28/0.50 % (1392820)------------------------------
% 1.28/0.50 % (1392820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392820)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392820)Termination reason: Instruction limit
% 1.28/0.50 % (1392820)Termination phase: Saturation
% 1.28/0.50 % (1392820)Time elapsed: 0.013 s
% 1.28/0.50 % (1392820)Peak memory usage: 12 MB
% 1.28/0.50 % (1392820)Instructions burned: 23 (million)
% 1.28/0.50 % (1392825)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=2503031507:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.28/0.50 % (1392826)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=3955545984:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.28/0.50 % (1392828)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=4192241487:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.28/0.50 % (1392804) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1392739-1392804"...
% 1.28/0.50 % (1392829)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3341885356:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.28/0.50 % (1392829)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392829)------------------------------
% 1.28/0.50 % (1392829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392829)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392829)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392829)Time elapsed: 0.002 s
% 1.28/0.50 % (1392829)Peak memory usage: 12 MB
% 1.28/0.50 % (1392829)Instructions burned: 2 (million)
% 1.28/0.50 % (1392829)------------------------------
% 1.28/0.50 % (1392829)------------------------------
% 1.28/0.50 % (1392804)...printing done.
% 1.28/0.50 % (1392828)Refutation not found, incomplete strategy
% 1.28/0.50 % (1392828)------------------------------
% 1.28/0.50 % (1392828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (1392828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (1392828)CaDiCaL version: 2.1.3
% 1.28/0.50 % (1392828)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (1392828)Time elapsed: 0.007 s
% 1.28/0.50 % (1392828)Peak memory usage: 12 MB
% 1.28/0.50 % (1392828)Instructions burned: 11 (million)
% 1.28/0.50 % (1392804)Refutation found. Thanks to Tanya!
% 1.28/0.50 % SZS status Theorem for theBenchmark
% 1.28/0.50 % SZS output start Proof for theBenchmark
% 1.28/0.50 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.28/0.50 thf(func_def_1, type, s: ($i > $i)).
% 1.28/0.50 thf(func_def_2, type, cCKB6_BLACK: ($i > $i > $o)).
% 1.28/0.50 thf(func_def_3, type, cCKB6_NUM: ($i > $o)).
% 1.28/0.50 thf(func_def_7, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.28/0.50 thf(func_def_8, type, vIMP: ($o > $o > $o)).
% 1.28/0.50 thf(func_def_9, type, vAND: ($o > $o > $o)).
% 1.28/0.50 thf(func_def_10, type, db1: !>[X0: $tType]:(X0)).
% 1.28/0.50 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 1.28/0.50 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.28/0.50 thf(func_def_13, type, db2: !>[X0: $tType]:(X0)).
% 1.28/0.50 thf(func_def_16, type, sF2: $o).
% 1.28/0.50 thf(func_def_17, type, sF3: $o).
% 1.28/0.50 thf(func_def_18, type, sF4: $o).
% 1.28/0.50 thf(func_def_19, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.28/0.50 thf(func_def_20, type, sK5: (($i > $o) > $i)).
% 1.28/0.50 thf(func_def_21, type, sK6: ($i > $o)).
% 1.28/0.50 thf(func_def_22, type, sK7: ($i > $i > $o)).
% 1.28/0.50 thf(func_def_23, type, sK8: (($i > $i > $o) > $i)).
% 1.28/0.50 thf(func_def_24, type, sK9: (($i > $i > $o) > $i)).
% 1.28/0.50 thf(func_def_25, type, sK10: ($i > $o)).
% 1.28/0.50 thf(func_def_26, type, sK11: (($i > $o) > $i)).
% 1.28/0.50 thf(func_def_28, type, sK13: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_29, type, sK14: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_30, type, sK15: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_31, type, sK16: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_32, type, sK17: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_33, type, sK18: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_34, type, sK19: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.50 thf(func_def_35, type, sK20: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_36, type, sK21: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_37, type, sK22: !>[X0: $tType]:((($i > $i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_38, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.28/0.51 thf(func_def_39, type, vNOT: ($o > $o)).
% 1.28/0.51 thf(func_def_40, type, sK23: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_41, type, sK24: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_42, type, sK25: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_43, type, sK26: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_44, type, sK27: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_45, type, sK28: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_46, type, sK29: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_47, type, sK30: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_48, type, sK31: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_49, type, sK32: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_50, type, sK33: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_51, type, sK34: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_52, type, sK35: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_53, type, sK36: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_54, type, sK37: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_55, type, sK38: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_56, type, sK39: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(func_def_57, type, sK40: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 1.28/0.51 thf(f1,axiom,(
% 1.28/0.51 (cCKB6_BLACK = (^[X0 : $i, X1 : $i] : (! [X2 : ($i > $i > $o)] : ((! [X3 : $i,X4 : $i] : ((X2 @ X3 @ X4) => ((X2 @ (s @ X3) @ (s @ X4)) & (X2 @ (s @ (s @ X3)) @ X4))) & (X2 @ c1 @ c1)) => (X2 @ X0 @ X1)))))),
% 1.28/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB6_BLACK_def)).
% 1.28/0.51 thf(f2,axiom,(
% 1.28/0.51 ((^[X0 : $i] : (! [X1 : ($i > $o)] : (((X1 @ c1) & ! [X2 : $i] : ((X1 @ X2) => (X1 @ (s @ X2)))) => (X1 @ X0)))) = cCKB6_NUM)),
% 1.28/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB6_NUM_def)).
% 1.28/0.51 thf(f3,conjecture,(
% 1.28/0.51 ! [X1 : $i,X0 : $i] : ((cCKB6_BLACK @ X0 @ X1) => ((cCKB6_NUM @ X0) & (cCKB6_NUM @ X1)))),
% 1.28/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB6_L6000_pme)).
% 1.28/0.51 thf(f4,negated_conjecture,(
% 1.28/0.51 ~ ! [X1 : $i,X0 : $i] : ((cCKB6_BLACK @ X0 @ X1) => ((cCKB6_NUM @ X0) & (cCKB6_NUM @ X1)))),
% 1.28/0.51 inference(negated_conjecture,[status(cth)],[f3])).
% 1.28/0.51 thf(f5,plain,(
% 1.28/0.51 ~ ! [X0 : $i,X1 : $i] : ((cCKB6_BLACK @ X1 @ X0) => ((cCKB6_NUM @ X1) & (cCKB6_NUM @ X0)))),
% 1.28/0.51 inference(rectify,[],[f4])).
% 1.28/0.51 thf(f6,plain,(
% 1.28/0.51 ~ ! [X1 : $i,X0 : $i] : (($true = ((cCKB6_BLACK @ X1 @ X0))) => ((((cCKB6_NUM @ X0)) = $true) & (((cCKB6_NUM @ X1)) = $true)))),
% 1.28/0.51 inference(fool_elimination,[],[f5])).
% 1.28/0.51 thf(f7,plain,(
% 1.28/0.51 ((^[X0 : $i] : (! [X1 : ($i > $o)] : (((X1 @ c1) & ! [X2 : $i] : ((X1 @ X2) => (X1 @ (s @ X2)))) => (X1 @ X0)))) = cCKB6_NUM)),
% 1.28/0.51 inference(rectify,[],[f2])).
% 1.28/0.51 thf(f8,plain,(
% 1.28/0.51 (cCKB6_NUM = (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))))),
% 1.28/0.51 inference(fool_elimination,[],[f7])).
% 1.28/0.51 thf(f9,plain,(
% 1.28/0.51 (cCKB6_BLACK = (^[X0 : $i, X1 : $i] : (! [X2 : ($i > $i > $o)] : ((! [X3 : $i,X4 : $i] : ((X2 @ X3 @ X4) => ((X2 @ (s @ X3) @ (s @ X4)) & (X2 @ (s @ (s @ X3)) @ X4))) & (X2 @ c1 @ c1)) => (X2 @ X0 @ X1)))))),
% 1.28/0.51 inference(rectify,[],[f1])).
% 1.28/0.51 thf(f10,plain,(
% 1.28/0.51 (cCKB6_BLACK = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ c1 @ c1) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => ((Y2 @ (s @ (s @ Y4)) @ Y3) & (Y2 @ (s @ Y4) @ (s @ Y3))))))))) => (Y2 @ Y0 @ Y1))))))))),
% 1.28/0.51 inference(fool_elimination,[],[f9])).
% 1.28/0.51 thf(f11,plain,(
% 1.28/0.51 ? [X0 : $i,X1 : $i] : (($true = ((cCKB6_BLACK @ X1 @ X0))) & ((((cCKB6_NUM @ X1)) != $true) | (((cCKB6_NUM @ X0)) != $true)))),
% 1.28/0.51 inference(ennf_transformation,[],[f6])).
% 1.28/0.51 thf(f12,plain,(
% 1.28/0.51 ($true = ((cCKB6_BLACK @ sK1 @ sK0))) & ((((cCKB6_NUM @ sK1)) != $true) | (((cCKB6_NUM @ sK0)) != $true))),
% 1.28/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f11])).
% 1.28/0.51 thf(f13,plain,(
% 1.28/0.51 (cCKB6_NUM = (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))))),
% 1.28/0.51 inference(cnf_transformation,[],[f8])).
% 1.28/0.51 thf(f14,plain,(
% 1.28/0.51 (cCKB6_BLACK = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ c1 @ c1) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => ((Y2 @ (s @ (s @ Y4)) @ Y3) & (Y2 @ (s @ Y4) @ (s @ Y3))))))))) => (Y2 @ Y0 @ Y1))))))))),
% 1.28/0.51 inference(cnf_transformation,[],[f10])).
% 1.28/0.51 thf(f15,plain,(
% 1.28/0.51 (((cCKB6_NUM @ sK1)) != $true) | (((cCKB6_NUM @ sK0)) != $true)),
% 1.28/0.51 inference(cnf_transformation,[],[f12])).
% 1.28/0.51 thf(f16,plain,(
% 1.28/0.51 ($true = ((cCKB6_BLACK @ sK1 @ sK0)))),
% 1.28/0.51 inference(cnf_transformation,[],[f12])).
% 1.28/0.51 thf(f17,definition,(
% 1.28/0.51 ($true != $false)),
% 1.28/0.51 introduced(theory,[fool_distinctness_axiom])).
% 1.28/0.51 thf(f19,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ c1 @ c1) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => ((Y2 @ (s @ (s @ Y4)) @ Y3) & (Y2 @ (s @ Y4) @ (s @ Y3))))))))) => (Y2 @ Y0 @ Y1))))))) @ sK1 @ sK0)) = $true)),
% 1.28/0.51 inference(definition_unfolding,[],[f16,f14])).
% 1.28/0.51 thf(f20,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK1)) != $true) | ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK0)) != $true)),
% 1.28/0.51 inference(definition_unfolding,[],[f15,f13,f13])).
% 1.28/0.51 thf(f21,definition,(
% 1.28/0.51 (sF2 = (((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ c1 @ c1) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => ((Y2 @ (s @ (s @ Y4)) @ Y3) & (Y2 @ (s @ Y4) @ (s @ Y3))))))))) => (Y2 @ Y0 @ Y1))))))) @ sK1 @ sK0)))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 1.28/0.51 thf(f22,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ c1 @ c1) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => ((Y2 @ (s @ (s @ Y4)) @ Y3) & (Y2 @ (s @ Y4) @ (s @ Y3))))))))) => (Y2 @ Y0 @ Y1))))))) @ sK1 @ sK0)) = sF2)),
% 1.28/0.51 inference(reorient_equations,[],[f21])).
% 1.28/0.51 thf(f23,plain,(
% 1.28/0.51 (sF2 = $true)),
% 1.28/0.51 inference(definition_folding,[],[f19,f22])).
% 1.28/0.51 thf(f24,definition,(
% 1.28/0.51 (sF3 = (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK1)))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 1.28/0.51 thf(f25,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK1)) = sF3)),
% 1.28/0.51 inference(reorient_equations,[],[f24])).
% 1.28/0.51 thf(f26,definition,(
% 1.28/0.51 (sF4 = (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK0)))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 1.28/0.51 thf(f27,plain,(
% 1.28/0.51 (sF4 != $true) | (sF3 != $true)),
% 1.28/0.51 inference(definition_folding,[],[f20,f26,f25])).
% 1.28/0.51 thf(f28,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK0)) = $false) | (sF4 = $true)),
% 1.28/0.51 inference(iff_proxy_clausification,[],[f26])).
% 1.28/0.51 thf(f39,plain,(
% 1.28/0.51 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ Y1))))) & (Y0 @ c1)) => (Y0 @ sK0))))) = $false) | (sF4 = $true)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f28])).
% 1.28/0.51 thf(f40,plain,(
% 1.28/0.51 ((((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ Y1))))) & (Y0 @ c1)) => (Y0 @ sK0))) @ sK6)) = $false) | (sF4 = $true)),
% 1.28/0.51 inference(sigma_proxy_clausification,[],[f39])).
% 1.28/0.51 thf(f41,plain,(
% 1.28/0.51 (sF4 = $true) | (((((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK6 @ (s @ Y0))))) & (sK6 @ c1)) => (sK6 @ sK0))) = $false)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f40])).
% 1.28/0.51 thf(f42,plain,(
% 1.28/0.51 (((sK6 @ sK0)) = $false) | (sF4 = $true)),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f41])).
% 1.28/0.51 thf(f43,plain,(
% 1.28/0.51 (sF4 = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK6 @ (s @ Y0))))) & (sK6 @ c1))) = $true)),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f41])).
% 1.28/0.51 thf(f44,plain,(
% 1.28/0.51 (((sK6 @ c1)) = $true) | (sF4 = $true)),
% 1.28/0.51 inference(and_proxy_clausification,[],[f43])).
% 1.28/0.51 thf(f45,plain,(
% 1.28/0.51 (((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK6 @ (s @ Y0)))))) = $true) | (sF4 = $true)),
% 1.28/0.51 inference(and_proxy_clausification,[],[f43])).
% 1.28/0.51 thf(f46,plain,(
% 1.28/0.51 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((sK6 @ Y0) => (sK6 @ (s @ Y0)))) @ X1))) | (sF4 = $true)) )),
% 1.28/0.51 inference(pi_proxy_clausification,[],[f45])).
% 1.28/0.51 thf(f47,plain,(
% 1.28/0.51 ( ! [X1 : $i] : ((sF4 = $true) | ($true = (((sK6 @ X1) => (sK6 @ (s @ X1)))))) )),
% 1.28/0.51 inference(beta-eta_normalization,[],[f46])).
% 1.28/0.51 thf(f48,plain,(
% 1.28/0.51 ( ! [X1 : $i] : ((sF4 = $true) | (((sK6 @ (s @ X1))) = $true) | (((sK6 @ X1)) = $false)) )),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f47])).
% 1.28/0.51 thf(f49,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((Y2 @ c1 @ c1) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => ((Y2 @ (s @ (s @ Y4)) @ Y3) & (Y2 @ (s @ Y4) @ (s @ Y3))))))))) => (Y2 @ Y0 @ Y1))))))) @ sK1 @ sK0)) = $true) | (sF2 = $false)),
% 1.28/0.51 inference(iff_proxy_clausification,[],[f22])).
% 1.28/0.51 thf(f65,plain,(
% 1.28/0.51 (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((Y0 @ c1 @ c1) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => ((Y0 @ (s @ (s @ Y2)) @ Y1) & (Y0 @ (s @ Y2) @ (s @ Y1))))))))) => (Y0 @ sK1 @ sK0))))) = $true) | (sF2 = $false)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f49])).
% 1.28/0.51 thf(f66,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((sF2 = $false) | ((((^[Y0 : $i > $i > $o]: (((Y0 @ c1 @ c1) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => ((Y0 @ (s @ (s @ Y2)) @ Y1) & (Y0 @ (s @ Y2) @ (s @ Y1))))))))) => (Y0 @ sK1 @ sK0))) @ X1)) = $true)) )),
% 1.28/0.51 inference(pi_proxy_clausification,[],[f65])).
% 1.28/0.51 thf(f67,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((sF2 = $false) | ($true = ((((X1 @ c1 @ c1) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1 @ Y0) => ((X1 @ (s @ (s @ Y1)) @ Y0) & (X1 @ (s @ Y1) @ (s @ Y0))))))))) => (X1 @ sK1 @ sK0))))) )),
% 1.28/0.51 inference(beta-eta_normalization,[],[f66])).
% 1.28/0.51 thf(f68,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : (((((X1 @ c1 @ c1) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1 @ Y0) => ((X1 @ (s @ (s @ Y1)) @ Y0) & (X1 @ (s @ Y1) @ (s @ Y0)))))))))) = $false) | (sF2 = $false) | (((X1 @ sK1 @ sK0)) = $true)) )),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f67])).
% 1.28/0.51 thf(f69,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1 @ Y0) => ((X1 @ (s @ (s @ Y1)) @ Y0) & (X1 @ (s @ Y1) @ (s @ Y0))))))))) = $false) | (((X1 @ c1 @ c1)) = $false) | (((X1 @ sK1 @ sK0)) = $true) | (sF2 = $false)) )),
% 1.28/0.51 inference(and_proxy_clausification,[],[f68])).
% 1.28/0.51 thf(f70,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((((X1 @ c1 @ c1)) = $false) | (sF2 = $false) | ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1 @ Y0) => ((X1 @ (s @ (s @ Y1)) @ Y0) & (X1 @ (s @ Y1) @ (s @ Y0))))))) @ (sK8 @ X1))) = $false) | (((X1 @ sK1 @ sK0)) = $true)) )),
% 1.28/0.51 inference(sigma_proxy_clausification,[],[f69])).
% 1.28/0.51 thf(f71,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((sF2 = $false) | (((X1 @ sK1 @ sK0)) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0 @ (sK8 @ X1)) => ((X1 @ (s @ (s @ Y0)) @ (sK8 @ X1)) & (X1 @ (s @ Y0) @ (s @ (sK8 @ X1)))))))) = $false) | (((X1 @ c1 @ c1)) = $false)) )),
% 1.28/0.51 inference(beta-eta_normalization,[],[f70])).
% 1.28/0.51 thf(f72,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((sF2 = $false) | (((X1 @ sK1 @ sK0)) = $true) | ((((^[Y0 : $i]: ((X1 @ Y0 @ (sK8 @ X1)) => ((X1 @ (s @ (s @ Y0)) @ (sK8 @ X1)) & (X1 @ (s @ Y0) @ (s @ (sK8 @ X1)))))) @ (sK9 @ X1))) = $false) | (((X1 @ c1 @ c1)) = $false)) )),
% 1.28/0.51 inference(sigma_proxy_clausification,[],[f71])).
% 1.28/0.51 thf(f73,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : (((((X1 @ (sK9 @ X1) @ (sK8 @ X1)) => ((X1 @ (s @ (s @ (sK9 @ X1))) @ (sK8 @ X1)) & (X1 @ (s @ (sK9 @ X1)) @ (s @ (sK8 @ X1)))))) = $false) | (sF2 = $false) | (((X1 @ c1 @ c1)) = $false) | (((X1 @ sK1 @ sK0)) = $true)) )),
% 1.28/0.51 inference(beta-eta_normalization,[],[f72])).
% 1.28/0.51 thf(f74,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((sF2 = $false) | (((X1 @ sK1 @ sK0)) = $true) | ((((X1 @ (s @ (s @ (sK9 @ X1))) @ (sK8 @ X1)) & (X1 @ (s @ (sK9 @ X1)) @ (s @ (sK8 @ X1))))) = $false) | (((X1 @ c1 @ c1)) = $false)) )),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f73])).
% 1.28/0.51 thf(f75,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : (($true = ((X1 @ (sK9 @ X1) @ (sK8 @ X1)))) | (((X1 @ c1 @ c1)) = $false) | (((X1 @ sK1 @ sK0)) = $true) | (sF2 = $false)) )),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f73])).
% 1.28/0.51 thf(f76,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((((X1 @ c1 @ c1)) = $false) | (((X1 @ (s @ (s @ (sK9 @ X1))) @ (sK8 @ X1))) = $false) | (sF2 = $false) | (((X1 @ (s @ (sK9 @ X1)) @ (s @ (sK8 @ X1)))) = $false) | (((X1 @ sK1 @ sK0)) = $true)) )),
% 1.28/0.51 inference(and_proxy_clausification,[],[f74])).
% 1.28/0.51 thf(f78,plain,(
% 1.28/0.51 (sF3 = $true) | ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (s @ Y2))))) & (Y1 @ c1)) => (Y1 @ Y0))))) @ sK1)) = $false)),
% 1.28/0.51 inference(iff_proxy_clausification,[],[f25])).
% 1.28/0.51 thf(f79,plain,(
% 1.28/0.51 (sF3 = $true) | (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ Y1))))) & (Y0 @ c1)) => (Y0 @ sK1))))) = $false)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f78])).
% 1.28/0.51 thf(f80,plain,(
% 1.28/0.51 ($false = (((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (s @ Y1))))) & (Y0 @ c1)) => (Y0 @ sK1))) @ sK10))) | (sF3 = $true)),
% 1.28/0.51 inference(sigma_proxy_clausification,[],[f79])).
% 1.28/0.51 thf(f81,plain,(
% 1.28/0.51 (((((!! @ $i @ (^[Y0 : $i]: ((sK10 @ Y0) => (sK10 @ (s @ Y0))))) & (sK10 @ c1)) => (sK10 @ sK1))) = $false) | (sF3 = $true)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f80])).
% 1.28/0.51 thf(f82,plain,(
% 1.28/0.51 (((sK10 @ sK1)) = $false) | (sF3 = $true)),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f81])).
% 1.28/0.51 thf(f83,plain,(
% 1.28/0.51 (sF3 = $true) | ((((!! @ $i @ (^[Y0 : $i]: ((sK10 @ Y0) => (sK10 @ (s @ Y0))))) & (sK10 @ c1))) = $true)),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f81])).
% 1.28/0.51 thf(f84,plain,(
% 1.28/0.51 (((sK10 @ c1)) = $true) | (sF3 = $true)),
% 1.28/0.51 inference(and_proxy_clausification,[],[f83])).
% 1.28/0.51 thf(f85,plain,(
% 1.28/0.51 (((!! @ $i @ (^[Y0 : $i]: ((sK10 @ Y0) => (sK10 @ (s @ Y0)))))) = $true) | (sF3 = $true)),
% 1.28/0.51 inference(and_proxy_clausification,[],[f83])).
% 1.28/0.51 thf(f86,plain,(
% 1.28/0.51 ( ! [X1 : $i] : (((((^[Y0 : $i]: ((sK10 @ Y0) => (sK10 @ (s @ Y0)))) @ X1)) = $true) | (sF3 = $true)) )),
% 1.28/0.51 inference(pi_proxy_clausification,[],[f85])).
% 1.28/0.51 thf(f87,plain,(
% 1.28/0.51 ( ! [X1 : $i] : (($true = (((sK10 @ X1) => (sK10 @ (s @ X1))))) | (sF3 = $true)) )),
% 1.28/0.51 inference(beta-eta_normalization,[],[f86])).
% 1.28/0.51 thf(f88,plain,(
% 1.28/0.51 ( ! [X1 : $i] : ((((sK10 @ X1)) = $false) | (((sK10 @ (s @ X1))) = $true) | (sF3 = $true)) )),
% 1.28/0.51 inference(imp_proxy_clausification,[],[f87])).
% 1.28/0.51 thf(f99,definition,(
% 1.28/0.51 spl12_1 <=> (sF3 = $true)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition])).
% 1.28/0.51 thf(f103,definition,(
% 1.28/0.51 spl12_2 <=> (sF4 = $true)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition])).
% 1.28/0.51 thf(f106,plain,(
% 1.28/0.51 ~spl12_1 | ~spl12_2),
% 1.28/0.51 inference(avatar_split_clause,[],[f27,f103,f99])).
% 1.28/0.51 thf(f108,definition,(
% 1.28/0.51 spl12_3 <=> ($true = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition])).
% 1.28/0.51 thf(f111,plain,(
% 1.28/0.51 ~spl12_3),
% 1.28/0.51 inference(avatar_split_clause,[],[f17,f108])).
% 1.28/0.51 thf(f125,definition,(
% 1.28/0.51 spl12_7 <=> ! [X1 : $i] : ((((sK6 @ (s @ X1))) = $true) | (((sK6 @ X1)) = $false))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition])).
% 1.28/0.51 thf(f126,plain,(
% 1.28/0.51 ( ! [X1 : $i] : ((((sK6 @ (s @ X1))) = $true) | (((sK6 @ X1)) = $false)) ) | ~spl12_7),
% 1.28/0.51 inference(avatar_component_clause,[],[f125])).
% 1.28/0.51 thf(f127,plain,(
% 1.28/0.51 spl12_7 | spl12_2),
% 1.28/0.51 inference(avatar_split_clause,[],[f48,f103,f125])).
% 1.28/0.51 thf(f129,definition,(
% 1.28/0.51 spl12_8 <=> (((sK6 @ c1)) = $true)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition])).
% 1.28/0.51 thf(f131,plain,(
% 1.28/0.51 (((sK6 @ c1)) = $true) | ~spl12_8),
% 1.28/0.51 inference(avatar_component_clause,[],[f129])).
% 1.28/0.51 thf(f132,plain,(
% 1.28/0.51 spl12_8 | spl12_2),
% 1.28/0.51 inference(avatar_split_clause,[],[f44,f103,f129])).
% 1.28/0.51 thf(f134,definition,(
% 1.28/0.51 spl12_9 <=> (((sK6 @ sK0)) = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition])).
% 1.28/0.51 thf(f136,plain,(
% 1.28/0.51 (((sK6 @ sK0)) = $false) | ~spl12_9),
% 1.28/0.51 inference(avatar_component_clause,[],[f134])).
% 1.28/0.51 thf(f137,plain,(
% 1.28/0.51 spl12_2 | spl12_9),
% 1.28/0.51 inference(avatar_split_clause,[],[f42,f134,f103])).
% 1.28/0.51 thf(f143,definition,(
% 1.28/0.51 spl12_11 <=> (sF2 = $true)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition])).
% 1.28/0.51 thf(f161,definition,(
% 1.28/0.51 spl12_15 <=> ! [X1 : ($i > $i > $o)] : (($true = ((X1 @ (sK9 @ X1) @ (sK8 @ X1)))) | (((X1 @ sK1 @ sK0)) = $true) | (((X1 @ c1 @ c1)) = $false))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition])).
% 1.28/0.51 thf(f162,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : (($true = ((X1 @ (sK9 @ X1) @ (sK8 @ X1)))) | (((X1 @ sK1 @ sK0)) = $true) | (((X1 @ c1 @ c1)) = $false)) ) | ~spl12_15),
% 1.28/0.51 inference(avatar_component_clause,[],[f161])).
% 1.28/0.51 thf(f164,definition,(
% 1.28/0.51 spl12_16 <=> (sF2 = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition])).
% 1.28/0.51 thf(f167,plain,(
% 1.28/0.51 spl12_15 | spl12_16),
% 1.28/0.51 inference(avatar_split_clause,[],[f75,f164,f161])).
% 1.28/0.51 thf(f169,definition,(
% 1.28/0.51 spl12_17 <=> ! [X1 : ($i > $i > $o)] : ((((X1 @ c1 @ c1)) = $false) | (((X1 @ sK1 @ sK0)) = $true) | (((X1 @ (s @ (sK9 @ X1)) @ (s @ (sK8 @ X1)))) = $false) | (((X1 @ (s @ (s @ (sK9 @ X1))) @ (sK8 @ X1))) = $false))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition])).
% 1.28/0.51 thf(f170,plain,(
% 1.28/0.51 ( ! [X1 : ($i > $i > $o)] : ((((X1 @ (s @ (sK9 @ X1)) @ (s @ (sK8 @ X1)))) = $false) | (((X1 @ c1 @ c1)) = $false) | (((X1 @ (s @ (s @ (sK9 @ X1))) @ (sK8 @ X1))) = $false) | (((X1 @ sK1 @ sK0)) = $true)) ) | ~spl12_17),
% 1.28/0.51 inference(avatar_component_clause,[],[f169])).
% 1.28/0.51 thf(f171,plain,(
% 1.28/0.51 spl12_16 | spl12_17),
% 1.28/0.51 inference(avatar_split_clause,[],[f76,f169,f164])).
% 1.28/0.51 thf(f173,definition,(
% 1.28/0.51 spl12_18 <=> ! [X1 : $i] : ((((sK10 @ X1)) = $false) | (((sK10 @ (s @ X1))) = $true))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition])).
% 1.28/0.51 thf(f174,plain,(
% 1.28/0.51 ( ! [X1 : $i] : ((((sK10 @ (s @ X1))) = $true) | (((sK10 @ X1)) = $false)) ) | ~spl12_18),
% 1.28/0.51 inference(avatar_component_clause,[],[f173])).
% 1.28/0.51 thf(f175,plain,(
% 1.28/0.51 spl12_1 | spl12_18),
% 1.28/0.51 inference(avatar_split_clause,[],[f88,f173,f99])).
% 1.28/0.51 thf(f177,definition,(
% 1.28/0.51 spl12_19 <=> (((sK10 @ c1)) = $true)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition])).
% 1.28/0.51 thf(f179,plain,(
% 1.28/0.51 (((sK10 @ c1)) = $true) | ~spl12_19),
% 1.28/0.51 inference(avatar_component_clause,[],[f177])).
% 1.28/0.51 thf(f180,plain,(
% 1.28/0.51 spl12_1 | spl12_19),
% 1.28/0.51 inference(avatar_split_clause,[],[f84,f177,f99])).
% 1.28/0.51 thf(f182,definition,(
% 1.28/0.51 spl12_20 <=> (((sK10 @ sK1)) = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition])).
% 1.28/0.51 thf(f184,plain,(
% 1.28/0.51 (((sK10 @ sK1)) = $false) | ~spl12_20),
% 1.28/0.51 inference(avatar_component_clause,[],[f182])).
% 1.28/0.51 thf(f185,plain,(
% 1.28/0.51 spl12_1 | spl12_20),
% 1.28/0.51 inference(avatar_split_clause,[],[f82,f182,f99])).
% 1.28/0.51 thf(f198,plain,(
% 1.28/0.51 spl12_11),
% 1.28/0.51 inference(avatar_split_clause,[],[f23,f143])).
% 1.28/0.51 thf(f200,definition,(
% 1.28/0.51 (sF2 != $true) | (sF2 != $false) | ($true = $false)),
% 1.28/0.51 introduced(theory,[theory_tautology_sat_conflict])).
% 1.28/0.51 thf(f332,plain,(
% 1.28/0.51 ( ! [X0 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | ($true = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | (((sK10 @ X0)) = $false) | (((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))) @ (sK8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))) = $false)) ) | (~spl12_17 | ~spl12_18)),
% 1.28/0.51 inference(constrained_superposition,[],[f170,f174])).
% 1.28/0.51 thf(f340,plain,(
% 1.28/0.51 ( ! [X0 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | (((sK6 @ X0)) = $false) | (((sK8 @ (^[Y0 : $i]: (sK6)))) != X0) | ($true = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))) @ (sK8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))) = $false)) ) | (~spl12_7 | ~spl12_17)),
% 1.28/0.51 inference(constrained_superposition,[],[f126,f170])).
% 1.28/0.51 thf(f374,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | (((sK10 @ X0)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))) @ (sK8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))) = $false)) ) | (~spl12_17 | ~spl12_18)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f332])).
% 1.28/0.51 thf(f375,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK10 @ c1)) = $false) | (((sK10 @ sK1)) = $true) | (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false) | (((sK10 @ X0)) = $false) | (((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0)) ) | (~spl12_17 | ~spl12_18)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f374])).
% 1.28/0.51 thf(f448,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK8 @ (^[Y0 : $i]: (sK6)))) != X0) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))) @ (sK8 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | (((sK6 @ X0)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true)) ) | (~spl12_7 | ~spl12_17)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f340])).
% 1.28/0.51 thf(f449,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false) | (((sK6 @ c1)) = $false) | (((sK6 @ X0)) = $false) | (((sK6 @ sK0)) = $true) | (((sK8 @ (^[Y0 : $i]: (sK6)))) != X0)) ) | (~spl12_7 | ~spl12_17)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f448])).
% 1.28/0.51 thf(f451,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK10 @ X0)) = $false) | ($true = $false) | (((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | (((sK10 @ sK1)) = $true) | (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false)) ) | (~spl12_17 | ~spl12_18 | ~spl12_19)),
% 1.28/0.51 inference(forward_demodulation,[],[f375,f179])).
% 1.28/0.51 thf(f452,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK10 @ X0)) = $false) | (((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false) | (((sK10 @ sK1)) = $true)) ) | (~spl12_17 | ~spl12_18 | ~spl12_19)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f451])).
% 1.28/0.51 thf(f466,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK6 @ X0)) = $false) | ($true = $false) | (((sK8 @ (^[Y0 : $i]: (sK6)))) != X0) | (((sK6 @ sK0)) = $true) | (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false)) ) | (~spl12_7 | ~spl12_8 | ~spl12_17)),
% 1.28/0.51 inference(forward_demodulation,[],[f449,f131])).
% 1.28/0.51 thf(f467,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK6 @ X0)) = $false) | (((sK6 @ sK0)) = $true) | (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false) | (((sK8 @ (^[Y0 : $i]: (sK6)))) != X0)) ) | (~spl12_7 | ~spl12_8 | ~spl12_17)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f466])).
% 1.28/0.51 thf(f468,plain,(
% 1.28/0.51 ( ! [X0 : $i] : (($true = $false) | (((sK10 @ X0)) = $false) | (((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false)) ) | (~spl12_17 | ~spl12_18 | ~spl12_19 | ~spl12_20)),
% 1.28/0.51 inference(forward_demodulation,[],[f452,f184])).
% 1.28/0.51 thf(f500,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK8 @ (^[Y0 : $i]: (sK6)))) != X0) | ($true = $false) | (((sK6 @ X0)) = $false) | (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false)) ) | (~spl12_7 | ~spl12_8 | ~spl12_9 | ~spl12_17)),
% 1.28/0.51 inference(forward_demodulation,[],[f467,f136])).
% 1.28/0.51 thf(f501,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK6 @ X0)) = $false) | (((sK8 @ (^[Y0 : $i]: (sK6)))) != X0) | (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false)) ) | (~spl12_7 | ~spl12_8 | ~spl12_9 | ~spl12_17)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f500])).
% 1.28/0.51 thf(f503,definition,(
% 1.28/0.51 spl12_30 <=> (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition])).
% 1.28/0.51 thf(f505,plain,(
% 1.28/0.51 (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false) | ~spl12_30),
% 1.28/0.51 inference(avatar_component_clause,[],[f503])).
% 1.28/0.51 thf(f507,definition,(
% 1.28/0.51 spl12_31 <=> ! [X0 : $i] : ((((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | (((sK10 @ X0)) = $false))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_31])],[avatar_definition])).
% 1.28/0.51 thf(f508,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | (((sK10 @ X0)) = $false)) ) | ~spl12_31),
% 1.28/0.51 inference(avatar_component_clause,[],[f507])).
% 1.28/0.51 thf(f511,definition,(
% 1.28/0.51 spl12_32 <=> ! [X0 : $i] : ((((sK6 @ X0)) = $false) | (((sK8 @ (^[Y0 : $i]: (sK6)))) != X0))),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_32])],[avatar_definition])).
% 1.28/0.51 thf(f512,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK8 @ (^[Y0 : $i]: (sK6)))) != X0) | (((sK6 @ X0)) = $false)) ) | ~spl12_32),
% 1.28/0.51 inference(avatar_component_clause,[],[f511])).
% 1.28/0.51 thf(f514,definition,(
% 1.28/0.51 spl12_33 <=> (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_33])],[avatar_definition])).
% 1.28/0.51 thf(f516,plain,(
% 1.28/0.51 (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false) | ~spl12_33),
% 1.28/0.51 inference(avatar_component_clause,[],[f514])).
% 1.28/0.51 thf(f519,plain,(
% 1.28/0.51 spl12_33 | spl12_32 | ~spl12_7 | ~spl12_8 | ~spl12_9 | ~spl12_17),
% 1.28/0.51 inference(avatar_split_clause,[],[f501,f169,f134,f129,f125,f511,f514])).
% 1.28/0.51 thf(f540,plain,(
% 1.28/0.51 (((sK6 @ (sK8 @ (^[Y0 : $i]: (sK6))))) = $false) | ~spl12_32),
% 1.28/0.51 inference(equality_resolution,[],[f512])).
% 1.28/0.51 thf(f541,plain,(
% 1.28/0.51 spl12_33 | ~spl12_32),
% 1.28/0.51 inference(avatar_split_clause,[],[f540,f511,f514])).
% 1.28/0.51 thf(f547,plain,(
% 1.28/0.51 ($true = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | (~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(constrained_superposition,[],[f162,f516])).
% 1.28/0.51 thf(f558,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK6 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | (~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f547])).
% 1.28/0.51 thf(f559,plain,(
% 1.28/0.51 (((sK6 @ c1)) = $false) | (((sK6 @ sK0)) = $true) | (~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f558])).
% 1.28/0.51 thf(f566,plain,(
% 1.28/0.51 ($true = $false) | (((sK6 @ sK0)) = $true) | (~spl12_8 | ~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(forward_demodulation,[],[f559,f131])).
% 1.28/0.51 thf(f567,plain,(
% 1.28/0.51 (((sK6 @ sK0)) = $true) | (~spl12_8 | ~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f566])).
% 1.28/0.51 thf(f576,plain,(
% 1.28/0.51 ($true = $false) | (~spl12_8 | ~spl12_9 | ~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(forward_demodulation,[],[f567,f136])).
% 1.28/0.51 thf(f577,plain,(
% 1.28/0.51 $false | (~spl12_8 | ~spl12_9 | ~spl12_15 | ~spl12_33)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f576])).
% 1.28/0.51 thf(f578,plain,(
% 1.28/0.51 ~spl12_8 | ~spl12_9 | ~spl12_15 | ~spl12_33),
% 1.28/0.51 inference(avatar_contradiction_clause,[],[f577])).
% 1.28/0.51 thf(f580,plain,(
% 1.28/0.51 ( ! [X0 : $i] : ((((sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))) != X0) | (((sK10 @ X0)) = $false) | (((sK10 @ (s @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))))) = $false)) ) | (~spl12_17 | ~spl12_18 | ~spl12_19 | ~spl12_20)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f468])).
% 1.28/0.51 thf(f596,plain,(
% 1.28/0.51 spl12_30 | spl12_31 | ~spl12_17 | ~spl12_18 | ~spl12_19 | ~spl12_20),
% 1.28/0.51 inference(avatar_split_clause,[],[f580,f182,f177,f173,f169,f507,f503])).
% 1.28/0.51 thf(f1438,plain,(
% 1.28/0.51 (((sK10 @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))) = $false) | ~spl12_31),
% 1.28/0.51 inference(equality_resolution,[],[f508])).
% 1.28/0.51 thf(f1440,definition,(
% 1.28/0.51 spl12_47 <=> (((sK10 @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))) = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_47])],[avatar_definition])).
% 1.28/0.51 thf(f1441,plain,(
% 1.28/0.51 (((sK10 @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))) != $false) | spl12_47),
% 1.28/0.51 inference(avatar_component_clause,[],[f1440])).
% 1.28/0.51 thf(f1442,plain,(
% 1.28/0.51 (((sK10 @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))) = $false) | ~spl12_47),
% 1.28/0.51 inference(avatar_component_clause,[],[f1440])).
% 1.28/0.51 thf(f1443,plain,(
% 1.28/0.51 spl12_47 | ~spl12_31),
% 1.28/0.51 inference(avatar_split_clause,[],[f1438,f507,f1440])).
% 1.28/0.51 thf(f1453,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | ($true = $false) | (~spl12_15 | ~spl12_47)),
% 1.28/0.51 inference(constrained_superposition,[],[f162,f1442])).
% 1.28/0.51 thf(f1459,plain,(
% 1.28/0.51 ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ sK1 @ sK0)) = $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c1 @ c1)) = $false) | (~spl12_15 | ~spl12_47)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f1453])).
% 1.28/0.51 thf(f1460,plain,(
% 1.28/0.51 (((sK10 @ c1)) = $false) | (((sK10 @ sK1)) = $true) | (~spl12_15 | ~spl12_47)),
% 1.28/0.51 inference(beta-eta_normalization,[],[f1459])).
% 1.28/0.51 thf(f1479,plain,(
% 1.28/0.51 (((sK10 @ sK1)) = $true) | ($true = $false) | (~spl12_15 | ~spl12_19 | ~spl12_47)),
% 1.28/0.51 inference(forward_demodulation,[],[f1460,f179])).
% 1.28/0.51 thf(f1480,plain,(
% 1.28/0.51 (((sK10 @ sK1)) = $true) | (~spl12_15 | ~spl12_19 | ~spl12_47)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f1479])).
% 1.28/0.51 thf(f1493,plain,(
% 1.28/0.51 ($true = $false) | (~spl12_15 | ~spl12_19 | ~spl12_20 | ~spl12_47)),
% 1.28/0.51 inference(forward_demodulation,[],[f1480,f184])).
% 1.28/0.51 thf(f1494,plain,(
% 1.28/0.51 $false | (~spl12_15 | ~spl12_19 | ~spl12_20 | ~spl12_47)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f1493])).
% 1.28/0.51 thf(f1495,plain,(
% 1.28/0.51 ~spl12_15 | ~spl12_19 | ~spl12_20 | ~spl12_47),
% 1.28/0.51 inference(avatar_contradiction_clause,[],[f1494])).
% 1.28/0.51 thf(f1524,plain,(
% 1.28/0.51 ($true = $false) | (((sK10 @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))))) = $false) | (~spl12_18 | ~spl12_30)),
% 1.28/0.51 inference(constrained_superposition,[],[f174,f505])).
% 1.28/0.51 thf(f1525,plain,(
% 1.28/0.51 (((sK10 @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))))) = $false) | (~spl12_18 | ~spl12_30)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f1524])).
% 1.28/0.51 thf(f1542,definition,(
% 1.28/0.51 spl12_48 <=> (((sK10 @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))))) = $false)),
% 1.28/0.51 introduced(definition,[new_symbols(definition,[spl12_48])],[avatar_definition])).
% 1.28/0.51 thf(f1544,plain,(
% 1.28/0.51 (((sK10 @ (s @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0)))))))) = $false) | ~spl12_48),
% 1.28/0.51 inference(avatar_component_clause,[],[f1542])).
% 1.28/0.51 thf(f1545,plain,(
% 1.28/0.51 spl12_48 | ~spl12_18 | ~spl12_30),
% 1.28/0.51 inference(avatar_split_clause,[],[f1525,f503,f173,f1542])).
% 1.28/0.51 thf(f1555,plain,(
% 1.28/0.51 ($true = $false) | (((sK10 @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))) = $false) | (~spl12_18 | ~spl12_48)),
% 1.28/0.51 inference(constrained_superposition,[],[f1544,f174])).
% 1.28/0.51 thf(f1571,plain,(
% 1.28/0.51 (((sK10 @ (sK9 @ (^[Y0 : $i]: ((^[Y1 : $i]: (sK10 @ Y0))))))) = $false) | (~spl12_18 | ~spl12_48)),
% 1.28/0.51 inference(trivial_inequality_removal,[],[f1555])).
% 1.28/0.51 thf(f1583,plain,(
% 1.28/0.51 $false | (~spl12_18 | spl12_47 | ~spl12_48)),
% 1.28/0.51 inference(forward_subsumption_resolution,[],[f1571,f1441])).
% 1.28/0.51 thf(f1584,plain,(
% 1.28/0.51 ~spl12_18 | spl12_47 | ~spl12_48),
% 1.28/0.51 inference(avatar_contradiction_clause,[],[f1583])).
% 1.28/0.51 cnf(s1, plain, ~spl12_1 | ~spl12_2, inference(sat_conversion,[],[f106])).
% 1.28/0.51 cnf(s2, plain, ~spl12_3, inference(sat_conversion,[],[f111])).
% 1.28/0.51 cnf(s5, plain, spl12_2 | spl12_7, inference(sat_conversion,[],[f127])).
% 1.28/0.51 cnf(s6, plain, spl12_2 | spl12_8, inference(sat_conversion,[],[f132])).
% 1.28/0.51 cnf(s7, plain, spl12_2 | spl12_9, inference(sat_conversion,[],[f137])).
% 1.28/0.51 cnf(s12, plain, spl12_15 | spl12_16, inference(sat_conversion,[],[f167])).
% 1.28/0.51 cnf(s13, plain, spl12_16 | spl12_17, inference(sat_conversion,[],[f171])).
% 1.28/0.51 cnf(s14, plain, spl12_1 | spl12_18, inference(sat_conversion,[],[f175])).
% 1.28/0.51 cnf(s15, plain, spl12_1 | spl12_19, inference(sat_conversion,[],[f180])).
% 1.28/0.51 cnf(s16, plain, spl12_1 | spl12_20, inference(sat_conversion,[],[f185])).
% 1.28/0.51 cnf(s19, plain, spl12_11, inference(sat_conversion,[],[f198])).
% 1.28/0.51 cnf(s21, plain, spl12_3 | ~spl12_11 | ~spl12_16, inference(sat_conversion,[],[f200])).
% 1.28/0.51 cnf(s29, plain, ~spl12_7 | ~spl12_8 | ~spl12_9 | ~spl12_17 | spl12_32 | spl12_33, inference(sat_conversion,[],[f519])).
% 1.28/0.51 cnf(s32, plain, ~spl12_32 | spl12_33, inference(sat_conversion,[],[f541])).
% 1.28/0.51 cnf(s35, plain, ~spl12_8 | ~spl12_9 | ~spl12_15 | ~spl12_33, inference(sat_conversion,[],[f578])).
% 1.28/0.51 cnf(s39, plain, ~spl12_17 | ~spl12_18 | ~spl12_19 | ~spl12_20 | spl12_30 | spl12_31, inference(sat_conversion,[],[f596])).
% 1.28/0.51 cnf(s56, plain, ~spl12_31 | spl12_47, inference(sat_conversion,[],[f1443])).
% 1.28/0.51 cnf(s59, plain, ~spl12_15 | ~spl12_19 | ~spl12_20 | ~spl12_47, inference(sat_conversion,[],[f1495])).
% 1.28/0.51 cnf(s60, plain, ~spl12_18 | ~spl12_30 | spl12_48, inference(sat_conversion,[],[f1545])).
% 1.28/0.51 cnf(s63, plain, ~spl12_18 | spl12_47 | ~spl12_48, inference(sat_conversion,[],[f1584])).
% 1.28/0.51 cnf(s64, plain, ~spl12_16, inference(rat,[],[s21,s19,s2])).
% 1.28/0.51 cnf(s65, plain, spl12_17, inference(rat,[],[s13,s64])).
% 1.28/0.51 cnf(s66, plain, spl12_15, inference(rat,[],[s12,s64])).
% 1.28/0.51 cnf(s67, plain, spl12_1, inference(rat,[],[s39,s60,s56,s63,s59,s14,s15,s16,s65,s66])).
% 1.28/0.51 cnf(s69, plain, ~spl12_2, inference(rat,[],[s1,s67])).
% 1.28/0.51 cnf(s72, plain, spl12_9, inference(rat,[],[s7,s69])).
% 1.28/0.51 cnf(s73, plain, spl12_8, inference(rat,[],[s6,s69])).
% 1.28/0.51 cnf(s74, plain, spl12_7, inference(rat,[],[s5,s69])).
% 1.28/0.51 cnf(s75, plain, ~spl12_33, inference(rat,[],[s35,s72,s66,s73])).
% 1.28/0.51 cnf(s76, plain, spl12_32, inference(rat,[],[s29,s75,s73,s65,s72,s74])).
% 1.28/0.51 cnf(s77, plain, $false, inference(rat,[],[s32,s75,s76])).
% 1.28/0.51 thf(f1588,plain,(
% 1.28/0.51 $false),
% 1.28/0.51 inference(avatar_sat_refutation,[],[s77])).
% 1.28/0.51 % SZS output end Proof for theBenchmark
% 1.28/0.51 % (1392804)------------------------------
% 1.28/0.51 % (1392804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (1392804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (1392804)CaDiCaL version: 2.1.3
% 1.28/0.51 % (1392804)Termination reason: Refutation
% 1.28/0.51 % (1392804)Time elapsed: 0.061 s
% 1.28/0.51 % (1392804)Peak memory usage: 14 MB
% 1.28/0.51 % (1392804)Instructions burned: 118 (million)
% 1.28/0.51 % (1392739)Success in time 0.225 s
% 1.28/0.51 % Vampire exiting
%------------------------------------------------------------------------------