%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET597^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:23:19 AM UTC 2026
% Result : Theorem 2.41s 0.59s
% Output : Refutation 2.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET597^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n007.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 13:36:41 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running higher-order theorem proving
% 0.09/0.20 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
% 0.39/0.34 % (3365591)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.39/0.34 % (3365599)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=2966041792: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)
% 0.39/0.34 % (3365602)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.39/0.34 % (3365602)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
% 0.39/0.34 % (3365598)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2368079118:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.39/0.34 % (3365597)lrs+10_16_si=on:nwc=1.5:random_seed=3973620751:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.39/0.34 % (3365600)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4131693638:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.39/0.34 % (3365601)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3856164158:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.39/0.34 % (3365602)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=1581530362:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.39/0.34 % (3365598)Instruction limit reached!
% 0.39/0.34 % (3365598)------------------------------
% 0.39/0.34 % (3365598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.34 % (3365598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.34 % (3365598)CaDiCaL version: 2.1.3
% 0.39/0.34 % (3365598)Termination reason: Instruction limit
% 0.39/0.34 % (3365598)Termination phase: Saturation
% 0.39/0.34 % (3365598)Time elapsed: 0.002 s
% 0.39/0.34 % (3365598)Peak memory usage: 11 MB
% 0.39/0.34 % (3365598)Instructions burned: 3 (million)
% 0.39/0.34 % (3365597)Instruction limit reached!
% 0.39/0.34 % (3365597)------------------------------
% 0.39/0.34 % (3365597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.34 % (3365597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.34 % (3365596)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3814625814:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.39/0.34 % (3365597)CaDiCaL version: 2.1.3
% 0.39/0.34 % (3365597)Termination reason: Instruction limit
% 0.39/0.34 % (3365597)Termination phase: Saturation
% 0.39/0.34 % (3365597)Time elapsed: 0.012 s
% 0.39/0.34 % (3365597)Peak memory usage: 12 MB
% 0.39/0.34 % (3365597)Instructions burned: 19 (million)
% 0.39/0.34 % (3365600)Instruction limit reached!
% 0.39/0.34 % (3365600)------------------------------
% 0.39/0.34 % (3365600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.34 % (3365600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.34 % (3365600)CaDiCaL version: 2.1.3
% 0.39/0.34 % (3365600)Termination reason: Instruction limit
% 0.39/0.34 % (3365600)Termination phase: Saturation
% 0.39/0.34 % (3365600)Time elapsed: 0.014 s
% 0.39/0.34 % (3365600)Peak memory usage: 12 MB
% 0.39/0.34 % (3365600)Instructions burned: 26 (million)
% 0.39/0.34 % (3365609)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4012907595:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.34 % (3365609)Instruction limit reached!
% 0.39/0.34 % (3365609)------------------------------
% 0.39/0.34 % (3365609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.34 % (3365609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.34 % (3365609)CaDiCaL version: 2.1.3
% 0.39/0.34 % (3365609)Termination reason: Instruction limit
% 0.39/0.34 % (3365609)Termination phase: Saturation
% 0.39/0.34 % (3365609)Time elapsed: 0.002 s
% 0.39/0.34 % (3365609)Peak memory usage: 11 MB
% 0.39/0.34 % (3365609)Instructions burned: 2 (million)
% 0.39/0.34 % (3365612)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.38 % (3365611)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2104366954:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.38 % (3365612)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=934987541:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.07/0.38 % (3365601)Instruction limit reached!
% 1.07/0.38 % (3365601)------------------------------
% 1.07/0.38 % (3365601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.38 % (3365601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.38 % (3365601)CaDiCaL version: 2.1.3
% 1.07/0.38 % (3365601)Termination reason: Instruction limit
% 1.07/0.38 % (3365601)Termination phase: Saturation
% 1.07/0.38 % (3365601)Time elapsed: 0.042 s
% 1.07/0.38 % (3365601)Peak memory usage: 13 MB
% 1.07/0.38 % (3365601)Instructions burned: 75 (million)
% 1.07/0.38 % (3365611)Instruction limit reached!
% 1.07/0.38 % (3365611)------------------------------
% 1.07/0.38 % (3365611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.38 % (3365611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.38 % (3365611)CaDiCaL version: 2.1.3
% 1.07/0.38 % (3365611)Termination reason: Instruction limit
% 1.07/0.38 % (3365611)Termination phase: Saturation
% 1.07/0.38 % (3365611)Time elapsed: 0.003 s
% 1.07/0.38 % (3365611)Peak memory usage: 12 MB
% 1.07/0.38 % (3365611)Instructions burned: 5 (million)
% 1.07/0.38 % (3365612)Instruction limit reached!
% 1.07/0.38 % (3365612)------------------------------
% 1.07/0.38 % (3365612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.38 % (3365612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.38 % (3365612)CaDiCaL version: 2.1.3
% 1.07/0.38 % (3365612)Termination reason: Instruction limit
% 1.07/0.38 % (3365612)Termination phase: Saturation
% 1.07/0.38 % (3365612)Time elapsed: 0.004 s
% 1.07/0.38 % (3365612)Peak memory usage: 12 MB
% 1.07/0.38 % (3365612)Instructions burned: 7 (million)
% 1.07/0.38 % (3365615)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1914211354:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.38 % (3365596)Instruction limit reached!
% 1.07/0.38 % (3365596)------------------------------
% 1.07/0.38 % (3365596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.38 % (3365596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.38 % (3365596)CaDiCaL version: 2.1.3
% 1.07/0.38 % (3365596)Termination reason: Instruction limit
% 1.07/0.38 % (3365596)Termination phase: Saturation
% 1.07/0.38 % (3365596)Time elapsed: 0.045 s
% 1.07/0.38 % (3365596)Peak memory usage: 12 MB
% 1.07/0.38 % (3365596)Instructions burned: 87 (million)
% 1.07/0.38 % (3365622)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
% 1.07/0.38 % (3365622)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.38 % (3365615)Instruction limit reached!
% 1.07/0.38 % (3365615)------------------------------
% 1.07/0.38 % (3365615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.38 % (3365615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.38 % (3365615)CaDiCaL version: 2.1.3
% 1.07/0.38 % (3365615)Termination reason: Instruction limit
% 1.07/0.38 % (3365615)Termination phase: Saturation
% 1.07/0.38 % (3365615)Time elapsed: 0.008 s
% 1.07/0.38 % (3365615)Peak memory usage: 12 MB
% 1.07/0.38 % (3365615)Instructions burned: 13 (million)
% 1.07/0.38 % (3365622)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=613609066:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.07/0.38 % (3365623)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=2635344123:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.07/0.38 % (3365624)lrs+10_1_si=on:cs=on:random_seed=110357374:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.07/0.38 % (3365624)Instruction limit reached!
% 1.07/0.41 % (3365624)------------------------------
% 1.07/0.41 % (3365624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.41 % (3365624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.41 % (3365624)CaDiCaL version: 2.1.3
% 1.07/0.41 % (3365624)Termination reason: Instruction limit
% 1.07/0.41 % (3365624)Termination phase: Saturation
% 1.07/0.41 % (3365624)Time elapsed: 0.005 s
% 1.07/0.41 % (3365624)Peak memory usage: 12 MB
% 1.07/0.41 % (3365624)Instructions burned: 9 (million)
% 1.07/0.41 % (3365630)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.41 % (3365622)Instruction limit reached!
% 1.07/0.41 % (3365622)------------------------------
% 1.07/0.41 % (3365622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.41 % (3365622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.41 % (3365622)CaDiCaL version: 2.1.3
% 1.07/0.41 % (3365622)Termination reason: Instruction limit
% 1.07/0.41 % (3365622)Termination phase: Saturation
% 1.07/0.41 % (3365622)Time elapsed: 0.013 s
% 1.07/0.41 % (3365622)Peak memory usage: 12 MB
% 1.07/0.41 % (3365622)Instructions burned: 29 (million)
% 1.07/0.41 % (3365630)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=3539358551:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.41 % (3365631)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1298821731:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.07/0.41 % (3365630)Instruction limit reached!
% 1.07/0.41 % (3365630)------------------------------
% 1.07/0.41 % (3365630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.41 % (3365630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.41 % (3365630)CaDiCaL version: 2.1.3
% 1.07/0.41 % (3365630)Termination reason: Instruction limit
% 1.07/0.41 % (3365630)Termination phase: Saturation
% 1.07/0.41 % (3365630)Time elapsed: 0.002 s
% 1.07/0.41 % (3365630)Peak memory usage: 12 MB
% 1.07/0.41 % (3365630)Instructions burned: 3 (million)
% 1.07/0.41 % (3365638)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3090721726:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.41 % (3365631)Refutation not found, incomplete strategy
% 1.07/0.41 % (3365631)------------------------------
% 1.07/0.41 % (3365631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.41 % (3365631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.41 % (3365631)CaDiCaL version: 2.1.3
% 1.07/0.41 % (3365631)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.41 % (3365631)Time elapsed: 0.014 s
% 1.07/0.41 % (3365631)Peak memory usage: 12 MB
% 1.07/0.41 % (3365631)Instructions burned: 23 (million)
% 1.07/0.41 % (3365602)Instruction limit reached!
% 1.07/0.41 % (3365602)------------------------------
% 1.07/0.41 % (3365602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.41 % (3365631)------------------------------
% 1.07/0.41 % (3365631)------------------------------
% 1.07/0.41 % (3365602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.41 % (3365602)CaDiCaL version: 2.1.3
% 1.07/0.41 % (3365602)Termination reason: Instruction limit
% 1.07/0.41 % (3365602)Termination phase: Saturation
% 1.07/0.41 % (3365602)Time elapsed: 0.092 s
% 1.07/0.41 % (3365602)Peak memory usage: 12 MB
% 1.07/0.41 % (3365602)Instructions burned: 159 (million)
% 1.07/0.41 % (3365641)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=966109078:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.41 % (3365638)Refutation not found, incomplete strategy
% 1.07/0.41 % (3365638)------------------------------
% 1.07/0.41 % (3365638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.41 % (3365638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.41 % (3365638)CaDiCaL version: 2.1.3
% 1.07/0.41 % (3365638)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.41 % (3365638)Time elapsed: 0.009 s
% 1.07/0.41 % (3365638)Peak memory usage: 12 MB
% 1.07/0.41 % (3365638)Instructions burned: 13 (million)
% 1.07/0.41 % (3365644)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=431213782:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.45 % (3365638)------------------------------
% 1.07/0.45 % (3365638)------------------------------
% 1.07/0.45 % (3365644)Instruction limit reached!
% 1.07/0.45 % (3365644)------------------------------
% 1.07/0.45 % (3365644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.45 % (3365644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.45 % (3365644)CaDiCaL version: 2.1.3
% 1.07/0.45 % (3365644)Termination reason: Instruction limit
% 1.07/0.45 % (3365644)Termination phase: Saturation
% 1.07/0.45 % (3365644)Time elapsed: 0.009 s
% 1.07/0.45 % (3365644)Peak memory usage: 12 MB
% 1.07/0.45 % (3365644)Instructions burned: 14 (million)
% 1.07/0.45 % (3365623)Instruction limit reached!
% 1.07/0.45 % (3365623)------------------------------
% 1.07/0.45 % (3365623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.45 % (3365623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.45 % (3365623)CaDiCaL version: 2.1.3
% 1.07/0.45 % (3365623)Termination reason: Instruction limit
% 1.07/0.45 % (3365623)Termination phase: Saturation
% 1.07/0.45 % (3365623)Time elapsed: 0.046 s
% 1.07/0.45 % (3365623)Peak memory usage: 12 MB
% 1.07/0.45 % (3365623)Instructions burned: 86 (million)
% 1.07/0.45 % (3365641)Instruction limit reached!
% 1.07/0.45 % (3365641)------------------------------
% 1.07/0.45 % (3365641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.45 % (3365641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.45 % (3365641)CaDiCaL version: 2.1.3
% 1.07/0.45 % (3365641)Termination reason: Instruction limit
% 1.07/0.45 % (3365641)Termination phase: Saturation
% 1.07/0.45 % (3365641)Time elapsed: 0.015 s
% 1.07/0.45 % (3365641)Peak memory usage: 12 MB
% 1.07/0.45 % (3365641)Instructions burned: 26 (million)
% 1.07/0.45 % (3365650)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1440431083:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.45 % (3365649)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=190174848:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.07/0.45 % (3365654)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1162501863:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.07/0.45 % (3365654)Instruction limit reached!
% 1.07/0.45 % (3365654)------------------------------
% 1.07/0.45 % (3365654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.45 % (3365654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.45 % (3365654)CaDiCaL version: 2.1.3
% 1.07/0.45 % (3365654)Termination reason: Instruction limit
% 1.07/0.45 % (3365654)Termination phase: Property scanning
% 1.07/0.45 % (3365654)Time elapsed: 0.003 s
% 1.07/0.45 % (3365654)Peak memory usage: 11 MB
% 1.07/0.45 % (3365654)Instructions burned: 6 (million)
% 1.07/0.45 % (3365650)Instruction limit reached!
% 1.07/0.45 % (3365650)------------------------------
% 1.07/0.45 % (3365650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.45 % (3365650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.45 % (3365650)CaDiCaL version: 2.1.3
% 1.07/0.45 % (3365650)Termination reason: Instruction limit
% 1.07/0.45 % (3365650)Termination phase: Saturation
% 1.07/0.45 % (3365650)Time elapsed: 0.010 s
% 1.07/0.45 % (3365650)Peak memory usage: 12 MB
% 1.07/0.45 % (3365650)Instructions burned: 15 (million)
% 1.07/0.45 % (3365658)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3635460753:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.07/0.45 % (3365659)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2101810985:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.07/0.45 % (3365660)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=870530685:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.07/0.45 % (3365668)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
% 1.74/0.50 % (3365668)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.74/0.50 % (3365669)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.74/0.50 % (3365668)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=854717333:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.74/0.50 % (3365659)Instruction limit reached!
% 1.74/0.50 % (3365659)------------------------------
% 1.74/0.50 % (3365659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.50 % (3365659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.50 % (3365659)CaDiCaL version: 2.1.3
% 1.74/0.50 % (3365659)Termination reason: Instruction limit
% 1.74/0.50 % (3365659)Termination phase: Saturation
% 1.74/0.50 % (3365659)Time elapsed: 0.012 s
% 1.74/0.50 % (3365659)Peak memory usage: 12 MB
% 1.74/0.50 % (3365659)Instructions burned: 24 (million)
% 1.74/0.50 % (3365669)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=4064993225:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.74/0.50 % (3365658)Instruction limit reached!
% 1.74/0.50 % (3365658)------------------------------
% 1.74/0.50 % (3365658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.50 % (3365658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.50 % (3365658)CaDiCaL version: 2.1.3
% 1.74/0.50 % (3365658)Termination reason: Instruction limit
% 1.74/0.50 % (3365658)Termination phase: Saturation
% 1.74/0.50 % (3365658)Time elapsed: 0.015 s
% 1.74/0.50 % (3365658)Peak memory usage: 12 MB
% 1.74/0.50 % (3365658)Instructions burned: 26 (million)
% 1.74/0.50 % (3365669)Instruction limit reached!
% 1.74/0.50 % (3365669)------------------------------
% 1.74/0.50 % (3365669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.50 % (3365669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.51 % (3365669)CaDiCaL version: 2.1.3
% 1.74/0.51 % (3365669)Termination reason: Instruction limit
% 1.74/0.51 % (3365669)Termination phase: Saturation
% 1.74/0.51 % (3365669)Time elapsed: 0.005 s
% 1.74/0.51 % (3365669)Peak memory usage: 12 MB
% 1.74/0.51 % (3365669)Instructions burned: 8 (million)
% 1.74/0.51 % (3365668)Instruction limit reached!
% 1.74/0.51 % (3365668)------------------------------
% 1.74/0.51 % (3365668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.51 % (3365668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.51 % (3365668)CaDiCaL version: 2.1.3
% 1.74/0.51 % (3365668)Termination reason: Instruction limit
% 1.74/0.51 % (3365668)Termination phase: Saturation
% 1.74/0.51 % (3365668)Time elapsed: 0.009 s
% 1.74/0.51 % (3365668)Peak memory usage: 12 MB
% 1.74/0.51 % (3365668)Instructions burned: 15 (million)
% 1.74/0.51 % (3365681)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=3365463537:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.74/0.51 % (3365684)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2577107344:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.74/0.51 % (3365681)Refutation not found, incomplete strategy
% 1.74/0.51 % (3365681)------------------------------
% 1.74/0.51 % (3365681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.51 % (3365681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.51 % (3365681)CaDiCaL version: 2.1.3
% 1.74/0.51 % (3365681)Termination reason: Refutation not found, incomplete strategy
% 1.74/0.51 % (3365681)Time elapsed: 0.002 s
% 1.74/0.51 % (3365681)Peak memory usage: 12 MB
% 1.74/0.51 % (3365681)Instructions burned: 3 (million)
% 1.74/0.51 % (3365681)------------------------------
% 1.74/0.51 % (3365681)------------------------------
% 1.74/0.51 % (3365599)Instruction limit reached!
% 1.74/0.51 % (3365599)------------------------------
% 1.74/0.51 % (3365599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.51 % (3365599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.56 % (3365599)CaDiCaL version: 2.1.3
% 1.74/0.56 % (3365599)Termination reason: Instruction limit
% 1.74/0.56 % (3365599)Termination phase: Saturation
% 1.74/0.56 % (3365599)Time elapsed: 0.171 s
% 1.74/0.56 % (3365599)Peak memory usage: 14 MB
% 1.74/0.56 % (3365599)Instructions burned: 637 (million)
% 1.74/0.56 % (3365660)Instruction limit reached!
% 1.74/0.56 % (3365660)------------------------------
% 1.74/0.56 % (3365660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.56 % (3365660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.56 % (3365660)CaDiCaL version: 2.1.3
% 1.74/0.56 % (3365660)Termination reason: Instruction limit
% 1.74/0.56 % (3365660)Termination phase: Saturation
% 1.74/0.56 % (3365660)Time elapsed: 0.036 s
% 1.74/0.56 % (3365660)Peak memory usage: 12 MB
% 1.74/0.56 % (3365660)Instructions burned: 60 (million)
% 1.74/0.56 % (3365684)Instruction limit reached!
% 1.74/0.56 % (3365684)------------------------------
% 1.74/0.56 % (3365684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.56 % (3365684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.56 % (3365684)CaDiCaL version: 2.1.3
% 1.74/0.56 % (3365684)Termination reason: Instruction limit
% 1.74/0.56 % (3365684)Termination phase: Saturation
% 1.74/0.56 % (3365684)Time elapsed: 0.005 s
% 1.74/0.56 % (3365684)Peak memory usage: 12 MB
% 1.74/0.56 % (3365684)Instructions burned: 8 (million)
% 1.74/0.56 % (3365687)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4027960461:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.74/0.56 % (3365689)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3311416034:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.74/0.56 % (3365699)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=108561784:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.74/0.56 % (3365687)Instruction limit reached!
% 1.74/0.56 % (3365687)------------------------------
% 1.74/0.56 % (3365687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.56 % (3365687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.56 % (3365687)CaDiCaL version: 2.1.3
% 1.74/0.56 % (3365687)Termination reason: Instruction limit
% 1.74/0.56 % (3365687)Termination phase: Saturation
% 1.74/0.56 % (3365687)Time elapsed: 0.009 s
% 1.74/0.56 % (3365687)Peak memory usage: 11 MB
% 1.74/0.56 % (3365687)Instructions burned: 23 (million)
% 1.74/0.56 % (3365689)Instruction limit reached!
% 1.74/0.56 % (3365689)------------------------------
% 1.74/0.56 % (3365689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.56 % (3365689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.56 % (3365689)CaDiCaL version: 2.1.3
% 1.74/0.56 % (3365689)Termination reason: Instruction limit
% 1.74/0.56 % (3365689)Termination phase: Saturation
% 1.74/0.56 % (3365689)Time elapsed: 0.013 s
% 1.74/0.56 % (3365689)Peak memory usage: 12 MB
% 1.74/0.56 % (3365689)Instructions burned: 22 (million)
% 1.74/0.56 % (3365696)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2515447669:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.74/0.56 % (3365698)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4240115057:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.74/0.56 % (3365701)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1703769331:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.74/0.56 % (3365708)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.74/0.56 % (3365708)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2152049456:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.74/0.56 % (3365711)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2836424250:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.74/0.56 % (3365708)Instruction limit reached!
% 1.74/0.56 % (3365708)------------------------------
% 1.74/0.56 % (3365708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.56 % (3365708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365708)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365708)Termination reason: Instruction limit
% 2.41/0.59 % (3365708)Termination phase: Saturation
% 2.41/0.59 % (3365708)Time elapsed: 0.005 s
% 2.41/0.59 % (3365708)Peak memory usage: 12 MB
% 2.41/0.59 % (3365708)Instructions burned: 8 (million)
% 2.41/0.59 % (3365701)Instruction limit reached!
% 2.41/0.59 % (3365701)------------------------------
% 2.41/0.59 % (3365701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365701)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365701)Termination reason: Instruction limit
% 2.41/0.59 % (3365701)Termination phase: Saturation
% 2.41/0.59 % (3365701)Time elapsed: 0.023 s
% 2.41/0.59 % (3365701)Peak memory usage: 12 MB
% 2.41/0.59 % (3365701)Instructions burned: 42 (million)
% 2.41/0.59 % (3365696)Refutation not found, incomplete strategy
% 2.41/0.59 % (3365696)------------------------------
% 2.41/0.59 % (3365696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365696)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365696)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.59 % (3365696)Time elapsed: 0.037 s
% 2.41/0.59 % (3365696)Peak memory usage: 12 MB
% 2.41/0.59 % (3365696)Instructions burned: 66 (million)
% 2.41/0.59 % (3365696)------------------------------
% 2.41/0.59 % (3365696)------------------------------
% 2.41/0.59 % (3365729)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=1674358335:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.41/0.59 % (3365731)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.41/0.59 % (3365731)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3661325247:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.41/0.59 % (3365731)Instruction limit reached!
% 2.41/0.59 % (3365731)------------------------------
% 2.41/0.59 % (3365731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365731)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365731)Termination reason: Instruction limit
% 2.41/0.59 % (3365731)Termination phase: Saturation
% 2.41/0.59 % (3365731)Time elapsed: 0.004 s
% 2.41/0.59 % (3365731)Peak memory usage: 12 MB
% 2.41/0.59 % (3365731)Instructions burned: 7 (million)
% 2.41/0.59 % (3365699)Instruction limit reached!
% 2.41/0.59 % (3365699)------------------------------
% 2.41/0.59 % (3365699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365699)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365699)Termination reason: Instruction limit
% 2.41/0.59 % (3365699)Termination phase: Saturation
% 2.41/0.59 % (3365699)Time elapsed: 0.056 s
% 2.41/0.59 % (3365699)Peak memory usage: 13 MB
% 2.41/0.59 % (3365699)Instructions burned: 193 (million)
% 2.41/0.59 % (3365742)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=977851137:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.41/0.59 % (3365735)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2597228110:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.41/0.59 % (3365741)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4057061342:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.41/0.59 % (3365698)Instruction limit reached!
% 2.41/0.59 % (3365698)------------------------------
% 2.41/0.59 % (3365698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365698)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365698)Termination reason: Instruction limit
% 2.41/0.59 % (3365698)Termination phase: Saturation
% 2.41/0.59 % (3365698)Time elapsed: 0.077 s
% 2.41/0.59 % (3365698)Peak memory usage: 13 MB
% 2.41/0.59 % (3365698)Instructions burned: 143 (million)
% 2.41/0.59 % (3365741)Instruction limit reached!
% 2.41/0.59 % (3365741)------------------------------
% 2.41/0.59 % (3365741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365741)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365741)Termination reason: Instruction limit
% 2.41/0.59 % (3365741)Termination phase: Saturation
% 2.41/0.59 % (3365741)Time elapsed: 0.012 s
% 2.41/0.59 % (3365741)Peak memory usage: 12 MB
% 2.41/0.59 % (3365741)Instructions burned: 20 (million)
% 2.41/0.59 % (3365735)Instruction limit reached!
% 2.41/0.59 % (3365735)------------------------------
% 2.41/0.59 % (3365735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365735)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365735)Termination reason: Instruction limit
% 2.41/0.59 % (3365735)Termination phase: Saturation
% 2.41/0.59 % (3365735)Time elapsed: 0.014 s
% 2.41/0.59 % (3365735)Peak memory usage: 12 MB
% 2.41/0.59 % (3365735)Instructions burned: 22 (million)
% 2.41/0.59 % (3365749)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=408530127: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)
% 2.41/0.59 % (3365649)Instruction limit reached!
% 2.41/0.59 % (3365649)------------------------------
% 2.41/0.59 % (3365649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365751)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4048981178:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.41/0.59 % (3365649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365649)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365649)Termination reason: Instruction limit
% 2.41/0.59 % (3365649)Termination phase: Saturation
% 2.41/0.59 % (3365649)Time elapsed: 0.169 s
% 2.41/0.59 % (3365649)Peak memory usage: 13 MB
% 2.41/0.59 % (3365649)Instructions burned: 328 (million)
% 2.41/0.59 % (3365750)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=1100849741: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)
% 2.41/0.59 % (3365751)Refutation not found, incomplete strategy
% 2.41/0.59 % (3365751)------------------------------
% 2.41/0.59 % (3365751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365751)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365751)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.59 % (3365751)Time elapsed: 0.008 s
% 2.41/0.59 % (3365751)Peak memory usage: 12 MB
% 2.41/0.59 % (3365751)Instructions burned: 6 (million)
% 2.41/0.59 % (3365751)------------------------------
% 2.41/0.59 % (3365751)------------------------------
% 2.41/0.59 % (3365711)Instruction limit reached!
% 2.41/0.59 % (3365711)------------------------------
% 2.41/0.59 % (3365711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365711)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365711)Termination reason: Instruction limit
% 2.41/0.59 % (3365711)Termination phase: Saturation
% 2.41/0.59 % (3365711)Time elapsed: 0.096 s
% 2.41/0.59 % (3365711)Peak memory usage: 14 MB
% 2.41/0.59 % (3365711)Instructions burned: 182 (million)
% 2.41/0.59 % (3365760)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1640900456:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.41/0.59 % (3365760)Instruction limit reached!
% 2.41/0.59 % (3365760)------------------------------
% 2.41/0.59 % (3365760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365760)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365760)Termination reason: Instruction limit
% 2.41/0.59 % (3365760)Termination phase: Saturation
% 2.41/0.59 % (3365760)Time elapsed: 0.011 s
% 2.41/0.59 % (3365760)Peak memory usage: 12 MB
% 2.41/0.59 % (3365760)Instructions burned: 22 (million)
% 2.41/0.59 % (3365767)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2857591765:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.41/0.59 % (3365729)Instruction limit reached!
% 2.41/0.59 % (3365729)------------------------------
% 2.41/0.59 % (3365729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365729)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365729)Termination reason: Instruction limit
% 2.41/0.59 % (3365729)Termination phase: Saturation
% 2.41/0.59 % (3365729)Time elapsed: 0.093 s
% 2.41/0.59 % (3365729)Peak memory usage: 13 MB
% 2.41/0.59 % (3365729)Instructions burned: 170 (million)
% 2.41/0.59 % (3365750)Instruction limit reached!
% 2.41/0.59 % (3365750)------------------------------
% 2.41/0.59 % (3365750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365750)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365750)Termination reason: Instruction limit
% 2.41/0.59 % (3365750)Termination phase: Saturation
% 2.41/0.59 % (3365750)Time elapsed: 0.035 s
% 2.41/0.59 % (3365750)Peak memory usage: 12 MB
% 2.41/0.59 % (3365750)Instructions burned: 46 (million)
% 2.41/0.59 % (3365767)Instruction limit reached!
% 2.41/0.59 % (3365767)------------------------------
% 2.41/0.59 % (3365767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365767)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365767)Termination reason: Instruction limit
% 2.41/0.59 % (3365767)Termination phase: Saturation
% 2.41/0.59 % (3365767)Time elapsed: 0.008 s
% 2.41/0.59 % (3365767)Peak memory usage: 12 MB
% 2.41/0.59 % (3365767)Instructions burned: 13 (million)
% 2.41/0.59 % (3365766)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.41/0.59 % (3365742)Instruction limit reached!
% 2.41/0.59 % (3365742)------------------------------
% 2.41/0.59 % (3365742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365742)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365742)Termination reason: Instruction limit
% 2.41/0.59 % (3365742)Termination phase: Saturation
% 2.41/0.59 % (3365742)Time elapsed: 0.084 s
% 2.41/0.59 % (3365742)Peak memory usage: 14 MB
% 2.41/0.59 % (3365742)Instructions burned: 319 (million)
% 2.41/0.59 % (3365766)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3147385382:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.41/0.59 % (3365773)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=3791541051:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.41/0.59 % (3365775)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1238733964:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.41/0.59 % (3365749) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3365591-3365749"...
% 2.41/0.59 % (3365776)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3839081:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.41/0.59 % (3365779)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=3302536350:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.41/0.59 % (3365776)Refutation not found, incomplete strategy
% 2.41/0.59 % (3365776)------------------------------
% 2.41/0.59 % (3365776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365776)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365776)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.59 % (3365776)Time elapsed: 0.002 s
% 2.41/0.59 % (3365776)Peak memory usage: 12 MB
% 2.41/0.59 % (3365776)Instructions burned: 3 (million)
% 2.41/0.59 % (3365749)...printing done.
% 2.41/0.59 % (3365776)------------------------------
% 2.41/0.59 % (3365776)------------------------------
% 2.41/0.59 % (3365777)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3665941486:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.41/0.59 % (3365749)Refutation found. Thanks to Tanya!
% 2.41/0.59 % SZS status Theorem for theBenchmark
% 2.41/0.59 % SZS output start Proof for theBenchmark
% 2.41/0.59 thf(type_def_5, type, a: $tType).
% 2.41/0.59 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.41/0.59 thf(func_def_3, type, vOR: ($o > $o > $o)).
% 2.41/0.59 thf(func_def_4, type, db0: !>[X0: $tType]:(X0)).
% 2.41/0.59 thf(func_def_5, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.41/0.59 thf(func_def_6, type, sK0: (a > $o)).
% 2.41/0.59 thf(func_def_7, type, sK1: (a > $o)).
% 2.41/0.59 thf(func_def_8, type, sK2: (a > $o)).
% 2.41/0.59 thf(func_def_9, type, sK3: a).
% 2.41/0.59 thf(func_def_10, type, sK4: a).
% 2.41/0.59 thf(func_def_11, type, sK5: (a > $o)).
% 2.41/0.59 thf(func_def_12, type, sK6: a).
% 2.41/0.59 thf(func_def_13, type, sK7: ((a > $o) > a)).
% 2.41/0.59 thf(func_def_14, type, sK8: ((a > $o) > a)).
% 2.41/0.59 thf(func_def_15, type, vNOT: ($o > $o)).
% 2.41/0.59 thf(func_def_17, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.41/0.59 thf(func_def_18, type, sK10: a).
% 2.41/0.59 thf(func_def_19, type, sK11: a).
% 2.41/0.59 thf(f1,conjecture,(
% 2.41/0.59 ! [X1 : (a > $o),X2 : (a > $o),X0 : (a > $o)] : ((! [X4 : a] : ((X1 @ X4) => (X0 @ X4)) & ! [X4 : a] : ((X2 @ X4) => (X0 @ X4)) & ! [X5 : (a > $o)] : ((! [X4 : a] : ((X1 @ X4) => (X5 @ X4)) & ! [X4 : a] : ((X2 @ X4) => (X5 @ X4))) => ! [X4 : a] : ((X0 @ X4) => (X5 @ X4)))) <=> ((^[X3 : a] : ((X1 @ X3) | (X2 @ X3))) = X0))),
% 2.41/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_56_pme)).
% 2.41/0.59 thf(f2,negated_conjecture,(
% 2.41/0.59 ~ ! [X1 : (a > $o),X2 : (a > $o),X0 : (a > $o)] : ((! [X4 : a] : ((X1 @ X4) => (X0 @ X4)) & ! [X4 : a] : ((X2 @ X4) => (X0 @ X4)) & ! [X5 : (a > $o)] : ((! [X4 : a] : ((X1 @ X4) => (X5 @ X4)) & ! [X4 : a] : ((X2 @ X4) => (X5 @ X4))) => ! [X4 : a] : ((X0 @ X4) => (X5 @ X4)))) <=> ((^[X3 : a] : ((X1 @ X3) | (X2 @ X3))) = X0))),
% 2.41/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 2.41/0.59 thf(f3,plain,(
% 2.41/0.59 ~ ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((! [X3 : a] : ((X0 @ X3) => (X2 @ X3)) & ! [X4 : a] : ((X1 @ X4) => (X2 @ X4)) & ! [X5 : (a > $o)] : ((! [X6 : a] : ((X0 @ X6) => (X5 @ X6)) & ! [X7 : a] : ((X1 @ X7) => (X5 @ X7))) => ! [X8 : a] : ((X2 @ X8) => (X5 @ X8)))) <=> ((^[X9 : a] : ((X0 @ X9) | (X1 @ X9))) = X2))),
% 2.41/0.59 inference(rectify,[],[f2])).
% 2.41/0.59 thf(f4,plain,(
% 2.41/0.59 ~ ! [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : (((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) = X2) <=> (! [X3 : a] : ((((X0 @ X3)) = $true) => (((X2 @ X3)) = $true)) & ! [X4 : a] : ((((X1 @ X4)) = $true) => (((X2 @ X4)) = $true)) & ! [X5 : (a > $o)] : ((! [X6 : a] : ((((X0 @ X6)) = $true) => ($true = ((X5 @ X6)))) & ! [X7 : a] : ((((X1 @ X7)) = $true) => ($true = ((X5 @ X7))))) => ! [X8 : a] : ((((X2 @ X8)) = $true) => ($true = ((X5 @ X8)))))))),
% 2.41/0.59 inference(fool_elimination,[],[f3])).
% 2.41/0.59 thf(f5,plain,(
% 2.41/0.59 ? [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : (((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) = X2) <~> (! [X3 : a] : ((((X2 @ X3)) = $true) | (((X0 @ X3)) != $true)) & ! [X4 : a] : ((((X1 @ X4)) != $true) | (((X2 @ X4)) = $true)) & ! [X5 : (a > $o)] : (! [X8 : a] : (($true = ((X5 @ X8))) | (((X2 @ X8)) != $true)) | (? [X6 : a] : (($true != ((X5 @ X6))) & (((X0 @ X6)) = $true)) | ? [X7 : a] : ((((X1 @ X7)) = $true) & ($true != ((X5 @ X7))))))))),
% 2.41/0.59 inference(ennf_transformation,[],[f4])).
% 2.41/0.59 thf(f6,plain,(
% 2.41/0.59 ? [X0 : (a > $o),X2 : (a > $o),X1 : (a > $o)] : (((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) = X2) <~> (! [X3 : a] : ((((X2 @ X3)) = $true) | (((X0 @ X3)) != $true)) & ! [X4 : a] : ((((X1 @ X4)) != $true) | (((X2 @ X4)) = $true)) & ! [X5 : (a > $o)] : (? [X7 : a] : ((((X1 @ X7)) = $true) & ($true != ((X5 @ X7)))) | ! [X8 : a] : (($true = ((X5 @ X8))) | (((X2 @ X8)) != $true)) | ? [X6 : a] : (($true != ((X5 @ X6))) & (((X0 @ X6)) = $true)))))),
% 2.41/0.59 inference(flattening,[],[f5])).
% 2.41/0.59 thf(f7,plain,(
% 2.41/0.59 ? [X0 : (a > $o),X2 : (a > $o),X1 : (a > $o)] : (((? [X3 : a] : ((((X2 @ X3)) != $true) & (((X0 @ X3)) = $true)) | ? [X4 : a] : ((((X1 @ X4)) = $true) & (((X2 @ X4)) != $true)) | ? [X5 : (a > $o)] : (! [X7 : a] : ((((X1 @ X7)) != $true) | ($true = ((X5 @ X7)))) & ? [X8 : a] : (($true != ((X5 @ X8))) & (((X2 @ X8)) = $true)) & ! [X6 : a] : (($true = ((X5 @ X6))) | (((X0 @ X6)) != $true)))) | ((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) != X2)) & ((! [X3 : a] : ((((X2 @ X3)) = $true) | (((X0 @ X3)) != $true)) & ! [X4 : a] : ((((X1 @ X4)) != $true) | (((X2 @ X4)) = $true)) & ! [X5 : (a > $o)] : (? [X7 : a] : ((((X1 @ X7)) = $true) & ($true != ((X5 @ X7)))) | ! [X8 : a] : (($true = ((X5 @ X8))) | (((X2 @ X8)) != $true)) | ? [X6 : a] : (($true != ((X5 @ X6))) & (((X0 @ X6)) = $true)))) | ((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) = X2)))),
% 2.41/0.59 inference(nnf_transformation,[],[f6])).
% 2.41/0.59 thf(f8,plain,(
% 2.41/0.59 ? [X0 : (a > $o),X2 : (a > $o),X1 : (a > $o)] : ((? [X3 : a] : ((((X2 @ X3)) != $true) & (((X0 @ X3)) = $true)) | ? [X4 : a] : ((((X1 @ X4)) = $true) & (((X2 @ X4)) != $true)) | ? [X5 : (a > $o)] : (! [X7 : a] : ((((X1 @ X7)) != $true) | ($true = ((X5 @ X7)))) & ? [X8 : a] : (($true != ((X5 @ X8))) & (((X2 @ X8)) = $true)) & ! [X6 : a] : (($true = ((X5 @ X6))) | (((X0 @ X6)) != $true))) | ((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) != X2)) & ((! [X3 : a] : ((((X2 @ X3)) = $true) | (((X0 @ X3)) != $true)) & ! [X4 : a] : ((((X1 @ X4)) != $true) | (((X2 @ X4)) = $true)) & ! [X5 : (a > $o)] : (? [X7 : a] : ((((X1 @ X7)) = $true) & ($true != ((X5 @ X7)))) | ! [X8 : a] : (($true = ((X5 @ X8))) | (((X2 @ X8)) != $true)) | ? [X6 : a] : (($true != ((X5 @ X6))) & (((X0 @ X6)) = $true)))) | ((^[Y0 : a]: ((X1 @ Y0) | (X0 @ Y0))) = X2)))),
% 2.41/0.59 inference(flattening,[],[f7])).
% 2.41/0.59 thf(f9,plain,(
% 2.41/0.59 ? [X0 : (a > $o),X1 : (a > $o),X2 : (a > $o)] : ((? [X3 : a] : ((((X1 @ X3)) != $true) & (((X0 @ X3)) = $true)) | ? [X4 : a] : ((((X2 @ X4)) = $true) & (((X1 @ X4)) != $true)) | ? [X5 : (a > $o)] : (! [X6 : a] : (($true != ((X2 @ X6))) | ($true = ((X5 @ X6)))) & ? [X7 : a] : (($true != ((X5 @ X7))) & (((X1 @ X7)) = $true)) & ! [X8 : a] : (($true = ((X5 @ X8))) | ($true != ((X0 @ X8))))) | ((^[Y0 : a]: ((X2 @ Y0) | (X0 @ Y0))) != X1)) & ((! [X9 : a] : (($true = ((X1 @ X9))) | (((X0 @ X9)) != $true)) & ! [X10 : a] : (($true != ((X2 @ X10))) | ($true = ((X1 @ X10)))) & ! [X11 : (a > $o)] : (? [X12 : a] : ((((X2 @ X12)) = $true) & ($true != ((X11 @ X12)))) | ! [X13 : a] : ((((X11 @ X13)) = $true) | (((X1 @ X13)) != $true)) | ? [X14 : a] : (($true != ((X11 @ X14))) & (((X0 @ X14)) = $true)))) | ((^[Y0 : a]: ((X2 @ Y0) | (X0 @ Y0))) = X1)))),
% 2.41/0.59 inference(rectify,[],[f8])).
% 2.41/0.59 thf(f10,plain,(
% 2.41/0.59 (((((sK1 @ sK3)) != $true) & (((sK0 @ sK3)) = $true)) | ((((sK2 @ sK4)) = $true) & ($true != ((sK1 @ sK4)))) | (! [X6 : a] : ((((sK2 @ X6)) != $true) | (((sK5 @ X6)) = $true)) & ((((sK5 @ sK6)) != $true) & ($true = ((sK1 @ sK6)))) & ! [X8 : a] : (($true = ((sK5 @ X8))) | (((sK0 @ X8)) != $true))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))) & ((! [X9 : a] : ((((sK1 @ X9)) = $true) | ($true != ((sK0 @ X9)))) & ! [X10 : a] : (($true != ((sK2 @ X10))) | (((sK1 @ X10)) = $true)) & ! [X11 : (a > $o)] : ((($true = ((sK2 @ (sK7 @ X11)))) & (((X11 @ (sK7 @ X11))) != $true)) | ! [X13 : a] : ((((X11 @ X13)) = $true) | ($true != ((sK1 @ X13)))) | ((((X11 @ (sK8 @ X11))) != $true) & ($true = ((sK0 @ (sK8 @ X11))))))) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))))),
% 2.41/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X7,sK6),skolemize(X14,sK8 @ X11),skolemize(X14,sK8 @ X11)],[f9])).
% 2.41/0.59 thf(f11,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : (($true = ((sK0 @ (sK8 @ X11)))) | (((X11 @ (sK7 @ X11))) != $true) | (((X11 @ X13)) = $true) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | ($true != ((sK1 @ X13)))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f12,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : ((((X11 @ X13)) = $true) | (((X11 @ (sK8 @ X11))) != $true) | (((X11 @ (sK7 @ X11))) != $true) | ($true != ((sK1 @ X13))) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f13,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : ((((X11 @ X13)) = $true) | ($true = ((sK2 @ (sK7 @ X11)))) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | ($true = ((sK0 @ (sK8 @ X11)))) | ($true != ((sK1 @ X13)))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f14,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : (($true = ((sK2 @ (sK7 @ X11)))) | (((X11 @ X13)) = $true) | (((X11 @ (sK8 @ X11))) != $true) | ($true != ((sK1 @ X13))) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f15,plain,(
% 2.41/0.59 ( ! [X10 : a] : (($true != ((sK2 @ X10))) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK1 @ X10)) = $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f16,plain,(
% 2.41/0.59 ( ! [X9 : a] : ((((sK1 @ X9)) = $true) | ($true != ((sK0 @ X9))) | (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f17,plain,(
% 2.41/0.59 ( ! [X8 : a] : ((((sK0 @ X8)) != $true) | ($true != ((sK1 @ sK4))) | (((sK0 @ sK3)) = $true) | ($true = ((sK5 @ X8))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f18,plain,(
% 2.41/0.59 ($true != ((sK1 @ sK4))) | ($true = ((sK1 @ sK6))) | (((sK0 @ sK3)) = $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f19,plain,(
% 2.41/0.59 ($true != ((sK1 @ sK4))) | (((sK5 @ sK6)) != $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK0 @ sK3)) = $true)),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f20,plain,(
% 2.41/0.59 ( ! [X6 : a] : (($true != ((sK1 @ sK4))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK5 @ X6)) = $true) | (((sK0 @ sK3)) = $true) | (((sK2 @ X6)) != $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f21,plain,(
% 2.41/0.59 ( ! [X8 : a] : (($true = ((sK5 @ X8))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK2 @ sK4)) = $true) | (((sK0 @ X8)) != $true) | (((sK0 @ sK3)) = $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f22,plain,(
% 2.41/0.59 (((sK0 @ sK3)) = $true) | (((sK2 @ sK4)) = $true) | ($true = ((sK1 @ sK6))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f23,plain,(
% 2.41/0.59 (((sK0 @ sK3)) = $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK5 @ sK6)) != $true) | (((sK2 @ sK4)) = $true)),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f24,plain,(
% 2.41/0.59 ( ! [X6 : a] : ((sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK0 @ sK3)) = $true) | (((sK5 @ X6)) = $true) | (((sK2 @ sK4)) = $true) | (((sK2 @ X6)) != $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f25,plain,(
% 2.41/0.59 ( ! [X8 : a] : (($true != ((sK1 @ sK4))) | (((sK1 @ sK3)) != $true) | ($true = ((sK5 @ X8))) | (((sK0 @ X8)) != $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f26,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK6))) | ($true != ((sK1 @ sK4))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK1 @ sK3)) != $true)),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f27,plain,(
% 2.41/0.59 (((sK1 @ sK3)) != $true) | (((sK5 @ sK6)) != $true) | ($true != ((sK1 @ sK4))) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f28,plain,(
% 2.41/0.59 ( ! [X6 : a] : (($true != ((sK1 @ sK4))) | (((sK5 @ X6)) = $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK2 @ X6)) != $true) | (((sK1 @ sK3)) != $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f29,plain,(
% 2.41/0.59 ( ! [X8 : a] : (($true = ((sK5 @ X8))) | (((sK2 @ sK4)) = $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK1 @ sK3)) != $true) | (((sK0 @ X8)) != $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f30,plain,(
% 2.41/0.59 (((sK1 @ sK3)) != $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK2 @ sK4)) = $true) | ($true = ((sK1 @ sK6)))),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f31,plain,(
% 2.41/0.59 (((sK5 @ sK6)) != $true) | (((sK1 @ sK3)) != $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK2 @ sK4)) = $true)),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f32,plain,(
% 2.41/0.59 ( ! [X6 : a] : ((((sK5 @ X6)) = $true) | (((sK2 @ sK4)) = $true) | (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | (((sK1 @ sK3)) != $true) | (((sK2 @ X6)) != $true)) )),
% 2.41/0.59 inference(cnf_transformation,[],[f10])).
% 2.41/0.59 thf(f36,definition,(
% 2.41/0.59 spl9_1 <=> ($true = ((sK1 @ sK4)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition])).
% 2.41/0.59 thf(f37,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK4))) | ~spl9_1),
% 2.41/0.59 inference(avatar_component_clause,[],[f36])).
% 2.41/0.59 thf(f38,plain,(
% 2.41/0.59 ($true != ((sK1 @ sK4))) | spl9_1),
% 2.41/0.59 inference(avatar_component_clause,[],[f36])).
% 2.41/0.59 thf(f40,definition,(
% 2.41/0.59 spl9_2 <=> (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition])).
% 2.41/0.59 thf(f41,plain,(
% 2.41/0.59 (sK1 = (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | ~spl9_2),
% 2.41/0.59 inference(avatar_component_clause,[],[f40])).
% 2.41/0.59 thf(f42,plain,(
% 2.41/0.59 (sK1 != (^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0)))) | spl9_2),
% 2.41/0.59 inference(avatar_component_clause,[],[f40])).
% 2.41/0.59 thf(f44,definition,(
% 2.41/0.59 spl9_3 <=> ($true = ((sK1 @ sK6)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition])).
% 2.41/0.59 thf(f46,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK6))) | ~spl9_3),
% 2.41/0.59 inference(avatar_component_clause,[],[f44])).
% 2.41/0.59 thf(f48,definition,(
% 2.41/0.59 spl9_4 <=> (((sK0 @ sK3)) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition])).
% 2.41/0.59 thf(f51,plain,(
% 2.41/0.59 ~spl9_1 | ~spl9_2 | spl9_3 | spl9_4),
% 2.41/0.59 inference(avatar_split_clause,[],[f18,f48,f44,f40,f36])).
% 2.41/0.59 thf(f53,definition,(
% 2.41/0.59 spl9_5 <=> (((sK2 @ sK4)) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition])).
% 2.41/0.59 thf(f54,plain,(
% 2.41/0.59 (((sK2 @ sK4)) != $true) | spl9_5),
% 2.41/0.59 inference(avatar_component_clause,[],[f53])).
% 2.41/0.59 thf(f55,plain,(
% 2.41/0.59 (((sK2 @ sK4)) = $true) | ~spl9_5),
% 2.41/0.59 inference(avatar_component_clause,[],[f53])).
% 2.41/0.59 thf(f56,plain,(
% 2.41/0.59 spl9_3 | spl9_5 | ~spl9_2 | spl9_4),
% 2.41/0.59 inference(avatar_split_clause,[],[f22,f48,f40,f53,f44])).
% 2.41/0.59 thf(f58,definition,(
% 2.41/0.59 spl9_6 <=> ! [X8 : a] : ((((sK0 @ X8)) != $true) | ($true = ((sK5 @ X8))))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition])).
% 2.41/0.59 thf(f59,plain,(
% 2.41/0.59 ( ! [X8 : a] : ((((sK0 @ X8)) != $true) | ($true = ((sK5 @ X8)))) ) | ~spl9_6),
% 2.41/0.59 inference(avatar_component_clause,[],[f58])).
% 2.41/0.59 thf(f60,plain,(
% 2.41/0.59 spl9_4 | ~spl9_1 | ~spl9_2 | spl9_6),
% 2.41/0.59 inference(avatar_split_clause,[],[f17,f58,f40,f36,f48])).
% 2.41/0.59 thf(f62,definition,(
% 2.41/0.59 spl9_7 <=> (((sK1 @ sK3)) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition])).
% 2.41/0.59 thf(f64,plain,(
% 2.41/0.59 (((sK1 @ sK3)) != $true) | spl9_7),
% 2.41/0.59 inference(avatar_component_clause,[],[f62])).
% 2.41/0.59 thf(f65,plain,(
% 2.41/0.59 ~spl9_7 | ~spl9_2 | spl9_3 | spl9_5),
% 2.41/0.59 inference(avatar_split_clause,[],[f30,f53,f44,f40,f62])).
% 2.41/0.59 thf(f67,definition,(
% 2.41/0.59 spl9_8 <=> ! [X13 : a,X11 : (a > $o)] : ((((X11 @ X13)) = $true) | ($true != ((sK1 @ X13))) | (((X11 @ (sK7 @ X11))) != $true) | (((X11 @ (sK8 @ X11))) != $true))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition])).
% 2.41/0.59 thf(f68,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : (($true != ((sK1 @ X13))) | (((X11 @ X13)) = $true) | (((X11 @ (sK8 @ X11))) != $true) | (((X11 @ (sK7 @ X11))) != $true)) ) | ~spl9_8),
% 2.41/0.59 inference(avatar_component_clause,[],[f67])).
% 2.41/0.59 thf(f69,plain,(
% 2.41/0.59 spl9_8 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f12,f40,f67])).
% 2.41/0.59 thf(f71,definition,(
% 2.41/0.59 spl9_9 <=> ! [X13 : a,X11 : (a > $o)] : ((((X11 @ X13)) = $true) | ($true != ((sK1 @ X13))) | ($true = ((sK0 @ (sK8 @ X11)))) | ($true = ((sK2 @ (sK7 @ X11)))))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition])).
% 2.41/0.59 thf(f72,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : (($true != ((sK1 @ X13))) | (((X11 @ X13)) = $true) | ($true = ((sK0 @ (sK8 @ X11)))) | ($true = ((sK2 @ (sK7 @ X11))))) ) | ~spl9_9),
% 2.41/0.59 inference(avatar_component_clause,[],[f71])).
% 2.41/0.59 thf(f73,plain,(
% 2.41/0.59 spl9_9 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f13,f40,f71])).
% 2.41/0.59 thf(f75,definition,(
% 2.41/0.59 spl9_10 <=> ! [X6 : a] : ((((sK5 @ X6)) = $true) | (((sK2 @ X6)) != $true))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition])).
% 2.41/0.59 thf(f76,plain,(
% 2.41/0.59 ( ! [X6 : a] : ((((sK2 @ X6)) != $true) | (((sK5 @ X6)) = $true)) ) | ~spl9_10),
% 2.41/0.59 inference(avatar_component_clause,[],[f75])).
% 2.41/0.59 thf(f77,plain,(
% 2.41/0.59 ~spl9_1 | ~spl9_7 | spl9_10 | ~spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f28,f40,f75,f62,f36])).
% 2.41/0.59 thf(f78,plain,(
% 2.41/0.59 spl9_10 | spl9_5 | spl9_4 | ~spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f24,f40,f48,f53,f75])).
% 2.41/0.59 thf(f79,plain,(
% 2.41/0.59 spl9_5 | ~spl9_2 | spl9_4 | spl9_6),
% 2.41/0.59 inference(avatar_split_clause,[],[f21,f58,f48,f40,f53])).
% 2.41/0.59 thf(f81,definition,(
% 2.41/0.59 spl9_11 <=> ! [X10 : a] : (($true != ((sK2 @ X10))) | (((sK1 @ X10)) = $true))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition])).
% 2.41/0.59 thf(f82,plain,(
% 2.41/0.59 ( ! [X10 : a] : (($true != ((sK2 @ X10))) | (((sK1 @ X10)) = $true)) ) | ~spl9_11),
% 2.41/0.59 inference(avatar_component_clause,[],[f81])).
% 2.41/0.59 thf(f83,plain,(
% 2.41/0.59 spl9_2 | spl9_11),
% 2.41/0.59 inference(avatar_split_clause,[],[f15,f81,f40])).
% 2.41/0.59 thf(f84,plain,(
% 2.41/0.59 ~spl9_2 | ~spl9_7 | spl9_5 | spl9_6),
% 2.41/0.59 inference(avatar_split_clause,[],[f29,f58,f53,f62,f40])).
% 2.41/0.59 thf(f86,definition,(
% 2.41/0.59 spl9_12 <=> (((sK5 @ sK6)) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_12])],[avatar_definition])).
% 2.41/0.59 thf(f88,plain,(
% 2.41/0.59 (((sK5 @ sK6)) != $true) | spl9_12),
% 2.41/0.59 inference(avatar_component_clause,[],[f86])).
% 2.41/0.59 thf(f89,plain,(
% 2.41/0.59 ~spl9_2 | ~spl9_1 | spl9_4 | ~spl9_12),
% 2.41/0.59 inference(avatar_split_clause,[],[f19,f86,f48,f36,f40])).
% 2.41/0.59 thf(f90,plain,(
% 2.41/0.59 ~spl9_1 | ~spl9_2 | ~spl9_7 | ~spl9_12),
% 2.41/0.59 inference(avatar_split_clause,[],[f27,f86,f62,f40,f36])).
% 2.41/0.59 thf(f91,plain,(
% 2.41/0.59 ~spl9_7 | ~spl9_12 | ~spl9_2 | spl9_5),
% 2.41/0.59 inference(avatar_split_clause,[],[f31,f53,f40,f86,f62])).
% 2.41/0.59 thf(f92,plain,(
% 2.41/0.59 ~spl9_2 | spl9_4 | spl9_5 | ~spl9_12),
% 2.41/0.59 inference(avatar_split_clause,[],[f23,f86,f53,f48,f40])).
% 2.41/0.59 thf(f94,definition,(
% 2.41/0.59 spl9_13 <=> ! [X13 : a,X11 : (a > $o)] : (($true = ((sK0 @ (sK8 @ X11)))) | ($true != ((sK1 @ X13))) | (((X11 @ X13)) = $true) | (((X11 @ (sK7 @ X11))) != $true))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_13])],[avatar_definition])).
% 2.41/0.59 thf(f95,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : (($true != ((sK1 @ X13))) | (((X11 @ X13)) = $true) | ($true = ((sK0 @ (sK8 @ X11)))) | (((X11 @ (sK7 @ X11))) != $true)) ) | ~spl9_13),
% 2.41/0.59 inference(avatar_component_clause,[],[f94])).
% 2.41/0.59 thf(f96,plain,(
% 2.41/0.59 spl9_13 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f11,f40,f94])).
% 2.41/0.59 thf(f98,definition,(
% 2.41/0.59 spl9_14 <=> ! [X13 : a,X11 : (a > $o)] : (($true = ((sK2 @ (sK7 @ X11)))) | ($true != ((sK1 @ X13))) | (((X11 @ (sK8 @ X11))) != $true) | (((X11 @ X13)) = $true))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_14])],[avatar_definition])).
% 2.41/0.59 thf(f99,plain,(
% 2.41/0.59 ( ! [X11 : (a > $o),X13 : a] : (($true != ((sK1 @ X13))) | (((X11 @ X13)) = $true) | ($true = ((sK2 @ (sK7 @ X11)))) | (((X11 @ (sK8 @ X11))) != $true)) ) | ~spl9_14),
% 2.41/0.59 inference(avatar_component_clause,[],[f98])).
% 2.41/0.59 thf(f100,plain,(
% 2.41/0.59 spl9_14 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f14,f40,f98])).
% 2.41/0.59 thf(f101,plain,(
% 2.41/0.59 ~spl9_2 | ~spl9_7 | ~spl9_1 | spl9_6),
% 2.41/0.59 inference(avatar_split_clause,[],[f25,f58,f36,f62,f40])).
% 2.41/0.59 thf(f103,definition,(
% 2.41/0.59 spl9_15 <=> ! [X9 : a] : ((((sK1 @ X9)) = $true) | ($true != ((sK0 @ X9))))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition])).
% 2.41/0.59 thf(f104,plain,(
% 2.41/0.59 ( ! [X9 : a] : (($true != ((sK0 @ X9))) | (((sK1 @ X9)) = $true)) ) | ~spl9_15),
% 2.41/0.59 inference(avatar_component_clause,[],[f103])).
% 2.41/0.59 thf(f105,plain,(
% 2.41/0.59 spl9_15 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f16,f40,f103])).
% 2.41/0.59 thf(f106,plain,(
% 2.41/0.59 ~spl9_2 | spl9_5 | spl9_10 | ~spl9_7),
% 2.41/0.59 inference(avatar_split_clause,[],[f32,f62,f75,f53,f40])).
% 2.41/0.59 thf(f107,plain,(
% 2.41/0.59 spl9_3 | ~spl9_1 | ~spl9_7 | ~spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f26,f40,f62,f36,f44])).
% 2.41/0.59 thf(f108,plain,(
% 2.41/0.59 ~spl9_1 | spl9_4 | spl9_10 | ~spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f20,f40,f75,f48,f36])).
% 2.41/0.59 thf(f109,plain,(
% 2.41/0.59 ( ! [X1 : a] : (((((^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))) @ X1)) = ((sK1 @ X1)))) ) | ~spl9_2),
% 2.41/0.59 inference(argument_congruence,[],[f41])).
% 2.41/0.59 thf(f110,plain,(
% 2.41/0.59 ( ! [X1 : a] : ((((sK1 @ X1)) = $false) | ((((^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))) @ X1)) = $true)) ) | ~spl9_2),
% 2.41/0.59 inference(iff_proxy_clausification,[],[f109])).
% 2.41/0.59 thf(f111,plain,(
% 2.41/0.59 ( ! [X1 : a] : (((((^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))) @ X1)) = $false) | (((sK1 @ X1)) = $true)) ) | ~spl9_2),
% 2.41/0.59 inference(iff_proxy_clausification,[],[f109])).
% 2.41/0.59 thf(f112,plain,(
% 2.41/0.59 ( ! [X1 : a] : ((((sK1 @ X1)) = $true) | ($false = (((sK2 @ X1) | (sK0 @ X1))))) ) | ~spl9_2),
% 2.41/0.59 inference(beta-eta_normalization,[],[f111])).
% 2.41/0.59 thf(f113,plain,(
% 2.41/0.59 ( ! [X1 : a] : ((((sK1 @ X1)) = $true) | (((sK0 @ X1)) = $false)) ) | ~spl9_2),
% 2.41/0.59 inference(or_proxy_clausification,[],[f112])).
% 2.41/0.59 thf(f114,plain,(
% 2.41/0.59 ( ! [X1 : a] : (($false = ((sK2 @ X1))) | (((sK1 @ X1)) = $true)) ) | ~spl9_2),
% 2.41/0.59 inference(or_proxy_clausification,[],[f112])).
% 2.41/0.59 thf(f115,plain,(
% 2.41/0.59 ( ! [X1 : a] : ((((sK1 @ X1)) = $false) | ($true = (((sK2 @ X1) | (sK0 @ X1))))) ) | ~spl9_2),
% 2.41/0.59 inference(beta-eta_normalization,[],[f110])).
% 2.41/0.59 thf(f116,plain,(
% 2.41/0.59 ( ! [X1 : a] : (($true = ((sK2 @ X1))) | (((sK1 @ X1)) = $false) | (((sK0 @ X1)) = $true)) ) | ~spl9_2),
% 2.41/0.59 inference(or_proxy_clausification,[],[f115])).
% 2.41/0.59 thf(f118,plain,(
% 2.41/0.59 ($true != $true) | ($false = ((sK0 @ sK4))) | (spl9_1 | ~spl9_2)),
% 2.41/0.59 inference(superposition,[],[f38,f113])).
% 2.41/0.59 thf(f119,plain,(
% 2.41/0.59 ($false = ((sK0 @ sK4))) | (spl9_1 | ~spl9_2)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f118])).
% 2.41/0.59 thf(f121,definition,(
% 2.41/0.59 spl9_16 <=> ($false = ((sK0 @ sK4)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_16])],[avatar_definition])).
% 2.41/0.59 thf(f123,plain,(
% 2.41/0.59 ($false = ((sK0 @ sK4))) | ~spl9_16),
% 2.41/0.59 inference(avatar_component_clause,[],[f121])).
% 2.41/0.59 thf(f124,plain,(
% 2.41/0.59 spl9_16 | spl9_1 | ~spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f119,f40,f36,f121])).
% 2.41/0.59 thf(f133,definition,(
% 2.41/0.59 spl9_17 <=> ($true = ((sK0 @ sK4)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_17])],[avatar_definition])).
% 2.41/0.59 thf(f137,plain,(
% 2.41/0.59 ( ! [X0 : a] : (((((^[Y0 : a]: (~ (Y0 = X0))) @ (sK7 @ (^[Y0 : a]: (~ (Y0 = X0)))))) != $true) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0) | (((sK1 @ X0)) != $true)) ) | ~spl9_8),
% 2.41/0.59 inference(leibniz_equality_elimination,[],[f68])).
% 2.41/0.59 thf(f140,plain,(
% 2.41/0.59 ( ! [X0 : a] : ((((sK1 @ X0)) != $true) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0) | ($true != ((~ ((sK7 @ (^[Y0 : a]: (~ (Y0 = X0)))) = X0))))) ) | ~spl9_8),
% 2.41/0.59 inference(beta-eta_normalization,[],[f137])).
% 2.41/0.59 thf(f141,plain,(
% 2.41/0.59 ( ! [X0 : a] : ((((sK1 @ X0)) != $true) | ($true = (((sK7 @ (^[Y0 : a]: (~ (Y0 = X0)))) = X0))) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0)) ) | ~spl9_8),
% 2.41/0.59 inference(not_proxy_clausification,[],[f140])).
% 2.41/0.59 thf(f142,plain,(
% 2.41/0.59 ( ! [X0 : a] : ((((sK1 @ X0)) != $true) | (((sK7 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0)) ) | ~spl9_8),
% 2.41/0.59 inference(equality_proxy_clausification,[],[f141])).
% 2.41/0.59 thf(f145,plain,(
% 2.41/0.59 ((((^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))) @ sK10)) != ((sK1 @ sK10))) | spl9_2),
% 2.41/0.59 inference(negative_extensionality,[],[f42])).
% 2.41/0.59 thf(f146,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK10))) | ($true = (((^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))) @ sK10))) | spl9_2),
% 2.41/0.59 inference(xor_proxy_clausification,[],[f145])).
% 2.41/0.59 thf(f147,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK10))) | ((((^[Y0 : a]: ((sK2 @ Y0) | (sK0 @ Y0))) @ sK10)) = $false) | spl9_2),
% 2.41/0.59 inference(xor_proxy_clausification,[],[f145])).
% 2.41/0.59 thf(f148,plain,(
% 2.41/0.59 ((((sK2 @ sK10) | (sK0 @ sK10))) = $false) | ($false = ((sK1 @ sK10))) | spl9_2),
% 2.41/0.59 inference(beta-eta_normalization,[],[f147])).
% 2.41/0.59 thf(f149,plain,(
% 2.41/0.59 ($false = ((sK0 @ sK10))) | ($false = ((sK1 @ sK10))) | spl9_2),
% 2.41/0.59 inference(or_proxy_clausification,[],[f148])).
% 2.41/0.59 thf(f150,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK10))) | (((sK2 @ sK10)) = $false) | spl9_2),
% 2.41/0.59 inference(or_proxy_clausification,[],[f148])).
% 2.41/0.59 thf(f151,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK10))) | ($true = (((sK2 @ sK10) | (sK0 @ sK10)))) | spl9_2),
% 2.41/0.59 inference(beta-eta_normalization,[],[f146])).
% 2.41/0.59 thf(f152,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK10))) | ($true = ((sK2 @ sK10))) | ($true = ((sK0 @ sK10))) | spl9_2),
% 2.41/0.59 inference(or_proxy_clausification,[],[f151])).
% 2.41/0.59 thf(f154,definition,(
% 2.41/0.59 spl9_18 <=> ($false = ((sK1 @ sK10)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_18])],[avatar_definition])).
% 2.41/0.59 thf(f156,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK10))) | ~spl9_18),
% 2.41/0.59 inference(avatar_component_clause,[],[f154])).
% 2.41/0.59 thf(f158,definition,(
% 2.41/0.59 spl9_19 <=> (((sK2 @ sK10)) = $false)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_19])],[avatar_definition])).
% 2.41/0.59 thf(f160,plain,(
% 2.41/0.59 (((sK2 @ sK10)) = $false) | ~spl9_19),
% 2.41/0.59 inference(avatar_component_clause,[],[f158])).
% 2.41/0.59 thf(f163,definition,(
% 2.41/0.59 spl9_20 <=> ($false = ((sK0 @ sK10)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_20])],[avatar_definition])).
% 2.41/0.59 thf(f165,plain,(
% 2.41/0.59 ($false = ((sK0 @ sK10))) | ~spl9_20),
% 2.41/0.59 inference(avatar_component_clause,[],[f163])).
% 2.41/0.59 thf(f167,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK10))) | ($true = ((sK0 @ sK10))) | (spl9_2 | ~spl9_11)),
% 2.41/0.59 inference(forward_subsumption_resolution,[],[f152,f82])).
% 2.41/0.59 thf(f168,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK10))) | (spl9_2 | ~spl9_11 | ~spl9_15)),
% 2.41/0.59 inference(forward_subsumption_resolution,[],[f167,f104])).
% 2.41/0.59 thf(f170,definition,(
% 2.41/0.59 spl9_21 <=> ($true = ((sK1 @ sK10)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_21])],[avatar_definition])).
% 2.41/0.59 thf(f172,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK10))) | ~spl9_21),
% 2.41/0.59 inference(avatar_component_clause,[],[f170])).
% 2.41/0.59 thf(f173,plain,(
% 2.41/0.59 spl9_21 | spl9_2 | ~spl9_11 | ~spl9_15),
% 2.41/0.59 inference(avatar_split_clause,[],[f168,f103,f81,f40,f170])).
% 2.41/0.59 thf(f198,plain,(
% 2.41/0.59 ($true != $true) | ($false = ((sK1 @ sK4))) | ($true = ((sK0 @ sK4))) | (~spl9_2 | spl9_5)),
% 2.41/0.59 inference(superposition,[],[f54,f116])).
% 2.41/0.59 thf(f199,plain,(
% 2.41/0.59 ($true = ((sK0 @ sK4))) | ($false = ((sK1 @ sK4))) | (~spl9_2 | spl9_5)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f198])).
% 2.41/0.59 thf(f200,plain,(
% 2.41/0.59 ($true = $false) | ($true = ((sK0 @ sK4))) | (~spl9_1 | ~spl9_2 | spl9_5)),
% 2.41/0.59 inference(forward_demodulation,[],[f199,f37])).
% 2.41/0.59 thf(f201,plain,(
% 2.41/0.59 ($true = ((sK0 @ sK4))) | (~spl9_1 | ~spl9_2 | spl9_5)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f200])).
% 2.41/0.59 thf(f202,plain,(
% 2.41/0.59 spl9_17 | ~spl9_1 | ~spl9_2 | spl9_5),
% 2.41/0.59 inference(avatar_split_clause,[],[f201,f53,f40,f36,f133])).
% 2.41/0.59 thf(f208,plain,(
% 2.41/0.59 (((sK0 @ sK3)) = $false) | ($true != $true) | (~spl9_2 | spl9_7)),
% 2.41/0.59 inference(superposition,[],[f64,f113])).
% 2.41/0.59 thf(f209,plain,(
% 2.41/0.59 (((sK0 @ sK3)) = $false) | (~spl9_2 | spl9_7)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f208])).
% 2.41/0.59 thf(f211,definition,(
% 2.41/0.59 spl9_22 <=> (((sK0 @ sK3)) = $false)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_22])],[avatar_definition])).
% 2.41/0.59 thf(f214,plain,(
% 2.41/0.59 spl9_22 | ~spl9_2 | spl9_7),
% 2.41/0.59 inference(avatar_split_clause,[],[f209,f62,f40,f211])).
% 2.41/0.59 thf(f253,plain,(
% 2.41/0.59 spl9_20 | spl9_18 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f149,f40,f154,f163])).
% 2.41/0.59 thf(f254,plain,(
% 2.41/0.59 spl9_19 | spl9_18 | spl9_2),
% 2.41/0.59 inference(avatar_split_clause,[],[f150,f40,f154,f158])).
% 2.41/0.59 thf(f266,plain,(
% 2.41/0.59 ( ! [X0 : (a > $o)] : (($true != $true) | ($true = ((sK0 @ (sK8 @ X0)))) | (((X0 @ sK10)) = $true) | ($true = ((sK2 @ (sK7 @ X0))))) ) | (~spl9_9 | ~spl9_21)),
% 2.41/0.59 inference(superposition,[],[f72,f172])).
% 2.41/0.59 thf(f269,plain,(
% 2.41/0.59 ( ! [X0 : (a > $o)] : (($true = ((sK2 @ (sK7 @ X0)))) | (((X0 @ sK10)) = $true) | ($true = ((sK0 @ (sK8 @ X0))))) ) | (~spl9_9 | ~spl9_21)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f266])).
% 2.41/0.59 thf(f272,plain,(
% 2.41/0.59 ( ! [X0 : a] : ((((sK1 @ X0)) != $true) | ($true = ((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = X0))))))) | (((sK7 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0)) ) | ~spl9_13),
% 2.41/0.59 inference(leibniz_equality_elimination,[],[f95])).
% 2.41/0.59 thf(f277,plain,(
% 2.41/0.59 ( ! [X0 : a] : ((((sK1 @ X0)) != $true) | (((sK2 @ (sK7 @ (^[Y0 : a]: (~ (Y0 = X0)))))) = $true) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = X0))))) = X0)) ) | ~spl9_14),
% 2.41/0.59 inference(leibniz_equality_elimination,[],[f99])).
% 2.41/0.59 thf(f422,plain,(
% 2.41/0.59 ($true != $true) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | (~spl9_8 | ~spl9_21)),
% 2.41/0.59 inference(superposition,[],[f142,f172])).
% 2.41/0.59 thf(f427,plain,(
% 2.41/0.59 (((sK8 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | (~spl9_8 | ~spl9_21)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f422])).
% 2.41/0.59 thf(f447,definition,(
% 2.41/0.59 spl9_39 <=> (((sK8 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_39])],[avatar_definition])).
% 2.41/0.59 thf(f449,plain,(
% 2.41/0.59 (((sK8 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | ~spl9_39),
% 2.41/0.59 inference(avatar_component_clause,[],[f447])).
% 2.41/0.59 thf(f451,definition,(
% 2.41/0.59 spl9_40 <=> (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_40])],[avatar_definition])).
% 2.41/0.59 thf(f453,plain,(
% 2.41/0.59 (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | ~spl9_40),
% 2.41/0.59 inference(avatar_component_clause,[],[f451])).
% 2.41/0.59 thf(f454,plain,(
% 2.41/0.59 spl9_39 | spl9_40 | ~spl9_8 | ~spl9_21),
% 2.41/0.59 inference(avatar_split_clause,[],[f427,f170,f67,f451,f447])).
% 2.41/0.59 thf(f457,plain,(
% 2.41/0.59 (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | ($true != $true) | (~spl9_13 | ~spl9_21)),
% 2.41/0.59 inference(superposition,[],[f272,f172])).
% 2.41/0.59 thf(f462,plain,(
% 2.41/0.59 (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (~spl9_13 | ~spl9_21)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f457])).
% 2.41/0.59 thf(f474,definition,(
% 2.41/0.59 spl9_43 <=> (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_43])],[avatar_definition])).
% 2.41/0.59 thf(f476,plain,(
% 2.41/0.59 (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | ~spl9_43),
% 2.41/0.59 inference(avatar_component_clause,[],[f474])).
% 2.41/0.59 thf(f477,plain,(
% 2.41/0.59 spl9_43 | spl9_40 | ~spl9_13 | ~spl9_21),
% 2.41/0.59 inference(avatar_split_clause,[],[f462,f170,f94,f451,f474])).
% 2.41/0.59 thf(f480,plain,(
% 2.41/0.59 (((sK2 @ (sK7 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | ($true != $true) | (~spl9_14 | ~spl9_21)),
% 2.41/0.59 inference(superposition,[],[f277,f172])).
% 2.41/0.59 thf(f485,plain,(
% 2.41/0.59 (((sK2 @ (sK7 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (((sK8 @ (^[Y0 : a]: (~ (Y0 = sK10))))) = sK10) | (~spl9_14 | ~spl9_21)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f480])).
% 2.41/0.59 thf(f498,definition,(
% 2.41/0.59 spl9_46 <=> (((sK2 @ (sK7 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_46])],[avatar_definition])).
% 2.41/0.59 thf(f501,plain,(
% 2.41/0.59 spl9_46 | spl9_39 | ~spl9_14 | ~spl9_21),
% 2.41/0.59 inference(avatar_split_clause,[],[f485,f170,f98,f447,f498])).
% 2.41/0.59 thf(f787,plain,(
% 2.41/0.59 ($true = ((sK0 @ sK10))) | (~spl9_39 | ~spl9_43)),
% 2.41/0.59 inference(forward_demodulation,[],[f476,f449])).
% 2.41/0.59 thf(f788,plain,(
% 2.41/0.59 ($true = $false) | (~spl9_20 | ~spl9_39 | ~spl9_43)),
% 2.41/0.59 inference(forward_demodulation,[],[f787,f165])).
% 2.41/0.59 thf(f789,plain,(
% 2.41/0.59 $false | (~spl9_20 | ~spl9_39 | ~spl9_43)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f788])).
% 2.41/0.59 thf(f790,plain,(
% 2.41/0.59 ~spl9_20 | ~spl9_39 | ~spl9_43),
% 2.41/0.59 inference(avatar_contradiction_clause,[],[f789])).
% 2.41/0.59 thf(f794,plain,(
% 2.41/0.59 ($true = $false) | (~spl9_18 | ~spl9_21)),
% 2.41/0.59 inference(backward_demodulation,[],[f172,f156])).
% 2.41/0.59 thf(f802,plain,(
% 2.41/0.59 $false | (~spl9_18 | ~spl9_21)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f794])).
% 2.41/0.59 thf(f803,plain,(
% 2.41/0.59 ~spl9_18 | ~spl9_21),
% 2.41/0.59 inference(avatar_contradiction_clause,[],[f802])).
% 2.41/0.59 thf(f893,plain,(
% 2.41/0.59 ((((^[Y0 : a]: (~ (Y0 = sK10))) @ sK10)) = $true) | ($true = ((sK2 @ sK10))) | (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (~spl9_9 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(superposition,[],[f269,f453])).
% 2.41/0.59 thf(f905,plain,(
% 2.41/0.59 (((~ (sK10 = sK10))) = $true) | ($true = ((sK2 @ sK10))) | (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (~spl9_9 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(beta-eta_normalization,[],[f893])).
% 2.41/0.59 thf(f906,plain,(
% 2.41/0.59 (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | ($true = ((sK2 @ sK10))) | (((sK10 = sK10)) = $false) | (~spl9_9 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(not_proxy_clausification,[],[f905])).
% 2.41/0.59 thf(f907,plain,(
% 2.41/0.59 (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (sK10 != sK10) | ($true = ((sK2 @ sK10))) | (~spl9_9 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(equality_proxy_clausification,[],[f906])).
% 2.41/0.59 thf(f908,plain,(
% 2.41/0.59 ($true = ((sK2 @ sK10))) | (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (~spl9_9 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f907])).
% 2.41/0.59 thf(f911,plain,(
% 2.41/0.59 (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | ($true = $false) | (~spl9_9 | ~spl9_19 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(forward_demodulation,[],[f908,f160])).
% 2.41/0.59 thf(f912,plain,(
% 2.41/0.59 (((sK0 @ (sK8 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) = $true) | (~spl9_9 | ~spl9_19 | ~spl9_21 | ~spl9_40)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f911])).
% 2.41/0.59 thf(f914,plain,(
% 2.41/0.59 ($true = ((sK0 @ sK10))) | (~spl9_9 | ~spl9_19 | ~spl9_21 | ~spl9_39 | ~spl9_40)),
% 2.41/0.59 inference(forward_demodulation,[],[f912,f449])).
% 2.41/0.59 thf(f917,plain,(
% 2.41/0.59 ($true = $false) | (~spl9_9 | ~spl9_19 | ~spl9_20 | ~spl9_21 | ~spl9_39 | ~spl9_40)),
% 2.41/0.59 inference(forward_demodulation,[],[f914,f165])).
% 2.41/0.59 thf(f918,plain,(
% 2.41/0.59 $false | (~spl9_9 | ~spl9_19 | ~spl9_20 | ~spl9_21 | ~spl9_39 | ~spl9_40)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f917])).
% 2.41/0.59 thf(f919,plain,(
% 2.41/0.59 ~spl9_9 | ~spl9_19 | ~spl9_20 | ~spl9_21 | ~spl9_39 | ~spl9_40),
% 2.41/0.59 inference(avatar_contradiction_clause,[],[f918])).
% 2.41/0.59 thf(f925,definition,(
% 2.41/0.59 (((sK7 @ (^[Y0 : a]: (~ (Y0 = sK10))))) != sK10) | (((sK2 @ sK10)) != $false) | (((sK2 @ (sK7 @ (^[Y0 : a]: (~ (Y0 = sK10)))))) != $true) | ($true != ((sK1 @ sK10))) | ($false = ((sK1 @ sK10)))),
% 2.41/0.59 introduced(theory,[theory_tautology_sat_conflict])).
% 2.41/0.59 thf(f964,definition,(
% 2.41/0.59 spl9_71 <=> ($false = ((sK1 @ sK4)))),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_71])],[avatar_definition])).
% 2.41/0.59 thf(f966,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK4))) | ~spl9_71),
% 2.41/0.59 inference(avatar_component_clause,[],[f964])).
% 2.41/0.59 thf(f1034,plain,(
% 2.41/0.59 ($true = ((sK0 @ sK4))) | ($true != $true) | ($false = ((sK1 @ sK4))) | (~spl9_2 | spl9_5)),
% 2.41/0.59 inference(superposition,[],[f54,f116])).
% 2.41/0.59 thf(f1084,plain,(
% 2.41/0.59 (((sK2 @ sK6)) != $true) | (~spl9_10 | spl9_12)),
% 2.41/0.59 inference(unit_resulting_resolution,[],[f76,f88])).
% 2.41/0.59 thf(f1085,plain,(
% 2.41/0.59 (((sK0 @ sK6)) != $true) | (~spl9_6 | spl9_12)),
% 2.41/0.59 inference(unit_resulting_resolution,[],[f59,f88])).
% 2.41/0.59 thf(f1087,definition,(
% 2.41/0.59 spl9_79 <=> (((sK2 @ sK6)) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_79])],[avatar_definition])).
% 2.41/0.59 thf(f1089,plain,(
% 2.41/0.59 (((sK2 @ sK6)) != $true) | spl9_79),
% 2.41/0.59 inference(avatar_component_clause,[],[f1087])).
% 2.41/0.59 thf(f1090,plain,(
% 2.41/0.59 ~spl9_79 | ~spl9_10 | spl9_12),
% 2.41/0.59 inference(avatar_split_clause,[],[f1084,f86,f75,f1087])).
% 2.41/0.59 thf(f1092,definition,(
% 2.41/0.59 spl9_80 <=> (((sK0 @ sK6)) = $true)),
% 2.41/0.59 introduced(definition,[new_symbols(definition,[spl9_80])],[avatar_definition])).
% 2.41/0.59 thf(f1095,plain,(
% 2.41/0.59 ~spl9_80 | ~spl9_6 | spl9_12),
% 2.41/0.59 inference(avatar_split_clause,[],[f1085,f86,f58,f1092])).
% 2.41/0.59 thf(f1157,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK6))) | (((sK0 @ sK6)) = $true) | ($true != $true) | (~spl9_2 | spl9_79)),
% 2.41/0.59 inference(superposition,[],[f1089,f116])).
% 2.41/0.59 thf(f1158,plain,(
% 2.41/0.59 (((sK0 @ sK6)) = $true) | ($false = ((sK1 @ sK6))) | (~spl9_2 | spl9_79)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1157])).
% 2.41/0.59 thf(f1159,plain,(
% 2.41/0.59 ($true = $false) | (((sK0 @ sK6)) = $true) | (~spl9_2 | ~spl9_3 | spl9_79)),
% 2.41/0.59 inference(forward_demodulation,[],[f1158,f46])).
% 2.41/0.59 thf(f1160,plain,(
% 2.41/0.59 (((sK0 @ sK6)) = $true) | (~spl9_2 | ~spl9_3 | spl9_79)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1159])).
% 2.41/0.59 thf(f1161,plain,(
% 2.41/0.59 spl9_80 | ~spl9_2 | ~spl9_3 | spl9_79),
% 2.41/0.59 inference(avatar_split_clause,[],[f1160,f1087,f44,f40,f1092])).
% 2.41/0.59 thf(f1162,definition,(
% 2.41/0.59 ($false != ((sK1 @ sK4))) | (((sK0 @ sK3)) != $false) | (((sK0 @ sK3)) != $true) | ($true = ((sK1 @ sK4)))),
% 2.41/0.59 introduced(theory,[theory_tautology_sat_conflict])).
% 2.41/0.59 thf(f1435,plain,(
% 2.41/0.59 ($true = $false) | ($true = ((sK1 @ sK4))) | (~spl9_2 | ~spl9_5)),
% 2.41/0.59 inference(superposition,[],[f114,f55])).
% 2.41/0.59 thf(f1439,plain,(
% 2.41/0.59 ($true = ((sK1 @ sK4))) | (~spl9_2 | ~spl9_5)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1435])).
% 2.41/0.59 thf(f1448,plain,(
% 2.41/0.59 ($true = $false) | (~spl9_2 | ~spl9_5 | ~spl9_71)),
% 2.41/0.59 inference(forward_demodulation,[],[f1439,f966])).
% 2.41/0.59 thf(f1449,plain,(
% 2.41/0.59 $false | (~spl9_2 | ~spl9_5 | ~spl9_71)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1448])).
% 2.41/0.59 thf(f1450,plain,(
% 2.41/0.59 ~spl9_2 | ~spl9_5 | ~spl9_71),
% 2.41/0.59 inference(avatar_contradiction_clause,[],[f1449])).
% 2.41/0.59 thf(f1451,plain,(
% 2.41/0.59 spl9_1 | ~spl9_2 | ~spl9_5),
% 2.41/0.59 inference(avatar_split_clause,[],[f1439,f53,f40,f36])).
% 2.41/0.59 thf(f1452,definition,(
% 2.41/0.59 (((sK0 @ sK3)) != $false) | (((sK0 @ sK3)) != $true) | ($true != ((sK1 @ sK4))) | ($false = ((sK1 @ sK4)))),
% 2.41/0.59 introduced(theory,[theory_tautology_sat_conflict])).
% 2.41/0.59 thf(f1453,definition,(
% 2.41/0.59 (((sK0 @ sK3)) != $false) | (((sK0 @ sK3)) != $true) | ($true != ((sK0 @ sK4))) | ($false = ((sK0 @ sK4)))),
% 2.41/0.59 introduced(theory,[theory_tautology_sat_conflict])).
% 2.41/0.59 thf(f1454,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK4))) | ($true = ((sK0 @ sK4))) | (~spl9_2 | spl9_5)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1034])).
% 2.41/0.59 thf(f1464,plain,(
% 2.41/0.59 ($true = $false) | ($false = ((sK1 @ sK4))) | (~spl9_2 | spl9_5 | ~spl9_16)),
% 2.41/0.59 inference(forward_demodulation,[],[f1454,f123])).
% 2.41/0.59 thf(f1465,plain,(
% 2.41/0.59 ($false = ((sK1 @ sK4))) | (~spl9_2 | spl9_5 | ~spl9_16)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1464])).
% 2.41/0.59 thf(f1479,plain,(
% 2.41/0.59 ($true = $false) | (~spl9_1 | ~spl9_2 | spl9_5 | ~spl9_16)),
% 2.41/0.59 inference(forward_demodulation,[],[f201,f123])).
% 2.41/0.59 thf(f1480,plain,(
% 2.41/0.59 $false | (~spl9_1 | ~spl9_2 | spl9_5 | ~spl9_16)),
% 2.41/0.59 inference(trivial_inequality_removal,[],[f1479])).
% 2.41/0.59 thf(f1481,plain,(
% 2.41/0.59 ~spl9_1 | ~spl9_2 | spl9_5 | ~spl9_16),
% 2.41/0.59 inference(avatar_contradiction_clause,[],[f1480])).
% 2.41/0.59 thf(f1492,plain,(
% 2.41/0.59 spl9_71 | ~spl9_2 | spl9_5 | ~spl9_16),
% 2.41/0.59 inference(avatar_split_clause,[],[f1465,f121,f53,f40,f964])).
% 2.41/0.59 cnf(s1, plain, ~spl9_1 | ~spl9_2 | spl9_3 | spl9_4, inference(sat_conversion,[],[f51])).
% 2.41/0.59 cnf(s2, plain, ~spl9_2 | spl9_3 | spl9_4 | spl9_5, inference(sat_conversion,[],[f56])).
% 2.41/0.59 cnf(s3, plain, ~spl9_1 | ~spl9_2 | spl9_4 | spl9_6, inference(sat_conversion,[],[f60])).
% 2.41/0.59 cnf(s4, plain, ~spl9_2 | spl9_3 | spl9_5 | ~spl9_7, inference(sat_conversion,[],[f65])).
% 2.41/0.59 cnf(s5, plain, spl9_2 | spl9_8, inference(sat_conversion,[],[f69])).
% 2.41/0.59 cnf(s6, plain, spl9_2 | spl9_9, inference(sat_conversion,[],[f73])).
% 2.41/0.59 cnf(s7, plain, ~spl9_1 | ~spl9_2 | ~spl9_7 | spl9_10, inference(sat_conversion,[],[f77])).
% 2.41/0.59 cnf(s8, plain, ~spl9_2 | spl9_4 | spl9_5 | spl9_10, inference(sat_conversion,[],[f78])).
% 2.41/0.59 cnf(s9, plain, ~spl9_2 | spl9_4 | spl9_5 | spl9_6, inference(sat_conversion,[],[f79])).
% 2.41/0.59 cnf(s10, plain, spl9_2 | spl9_11, inference(sat_conversion,[],[f83])).
% 2.41/0.59 cnf(s11, plain, ~spl9_2 | spl9_5 | spl9_6 | ~spl9_7, inference(sat_conversion,[],[f84])).
% 2.41/0.59 cnf(s12, plain, ~spl9_1 | ~spl9_2 | spl9_4 | ~spl9_12, inference(sat_conversion,[],[f89])).
% 2.41/0.59 cnf(s13, plain, ~spl9_1 | ~spl9_2 | ~spl9_7 | ~spl9_12, inference(sat_conversion,[],[f90])).
% 2.41/0.59 cnf(s14, plain, ~spl9_2 | spl9_5 | ~spl9_7 | ~spl9_12, inference(sat_conversion,[],[f91])).
% 2.41/0.59 cnf(s15, plain, ~spl9_2 | spl9_4 | spl9_5 | ~spl9_12, inference(sat_conversion,[],[f92])).
% 2.41/0.59 cnf(s16, plain, spl9_2 | spl9_13, inference(sat_conversion,[],[f96])).
% 2.41/0.59 cnf(s17, plain, spl9_2 | spl9_14, inference(sat_conversion,[],[f100])).
% 2.41/0.59 cnf(s18, plain, ~spl9_1 | ~spl9_2 | spl9_6 | ~spl9_7, inference(sat_conversion,[],[f101])).
% 2.41/0.59 cnf(s19, plain, spl9_2 | spl9_15, inference(sat_conversion,[],[f105])).
% 2.41/0.59 cnf(s20, plain, ~spl9_2 | spl9_5 | ~spl9_7 | spl9_10, inference(sat_conversion,[],[f106])).
% 2.41/0.59 cnf(s21, plain, ~spl9_1 | ~spl9_2 | spl9_3 | ~spl9_7, inference(sat_conversion,[],[f107])).
% 2.41/0.59 cnf(s22, plain, ~spl9_1 | ~spl9_2 | spl9_4 | spl9_10, inference(sat_conversion,[],[f108])).
% 2.41/0.59 cnf(s23, plain, spl9_1 | ~spl9_2 | spl9_16, inference(sat_conversion,[],[f124])).
% 2.41/0.59 cnf(s31, plain, spl9_2 | ~spl9_11 | ~spl9_15 | spl9_21, inference(sat_conversion,[],[f173])).
% 2.41/0.59 cnf(s32, plain, ~spl9_1 | ~spl9_2 | spl9_5 | spl9_17, inference(sat_conversion,[],[f202])).
% 2.41/0.59 cnf(s33, plain, ~spl9_2 | spl9_7 | spl9_22, inference(sat_conversion,[],[f214])).
% 2.41/0.59 cnf(s46, plain, spl9_2 | spl9_18 | spl9_20, inference(sat_conversion,[],[f253])).
% 2.41/0.59 cnf(s48, plain, spl9_2 | spl9_18 | spl9_19, inference(sat_conversion,[],[f254])).
% 2.41/0.59 cnf(s66, plain, ~spl9_8 | ~spl9_21 | spl9_39 | spl9_40, inference(sat_conversion,[],[f454])).
% 2.41/0.59 cnf(s69, plain, ~spl9_13 | ~spl9_21 | spl9_40 | spl9_43, inference(sat_conversion,[],[f477])).
% 2.41/0.59 cnf(s72, plain, ~spl9_14 | ~spl9_21 | spl9_39 | spl9_46, inference(sat_conversion,[],[f501])).
% 2.41/0.59 cnf(s105, plain, ~spl9_20 | ~spl9_39 | ~spl9_43, inference(sat_conversion,[],[f790])).
% 2.41/0.59 cnf(s108, plain, ~spl9_18 | ~spl9_21, inference(sat_conversion,[],[f803])).
% 2.41/0.59 cnf(s111, plain, ~spl9_9 | ~spl9_19 | ~spl9_20 | ~spl9_21 | ~spl9_39 | ~spl9_40, inference(sat_conversion,[],[f919])).
% 2.41/0.59 cnf(s113, plain, spl9_18 | ~spl9_19 | ~spl9_21 | ~spl9_40 | ~spl9_46, inference(sat_conversion,[],[f925])).
% 2.41/0.59 cnf(s146, plain, ~spl9_10 | spl9_12 | ~spl9_79, inference(sat_conversion,[],[f1090])).
% 2.41/0.59 cnf(s147, plain, ~spl9_6 | spl9_12 | ~spl9_80, inference(sat_conversion,[],[f1095])).
% 2.41/0.59 cnf(s151, plain, ~spl9_2 | ~spl9_3 | spl9_79 | spl9_80, inference(sat_conversion,[],[f1161])).
% 2.41/0.59 cnf(s152, plain, spl9_1 | ~spl9_4 | ~spl9_22 | ~spl9_71, inference(sat_conversion,[],[f1162])).
% 2.41/0.59 cnf(s203, plain, ~spl9_2 | ~spl9_5 | ~spl9_71, inference(sat_conversion,[],[f1450])).
% 2.41/0.59 cnf(s204, plain, spl9_1 | ~spl9_2 | ~spl9_5, inference(sat_conversion,[],[f1451])).
% 2.41/0.59 cnf(s206, plain, ~spl9_1 | ~spl9_4 | ~spl9_22 | spl9_71, inference(sat_conversion,[],[f1452])).
% 2.41/0.59 cnf(s207, plain, ~spl9_4 | spl9_16 | ~spl9_17 | ~spl9_22, inference(sat_conversion,[],[f1453])).
% 2.41/0.59 cnf(s211, plain, ~spl9_1 | ~spl9_2 | spl9_5 | ~spl9_16, inference(sat_conversion,[],[f1481])).
% 2.41/0.59 cnf(s224, plain, ~spl9_2 | spl9_5 | ~spl9_16 | spl9_71, inference(sat_conversion,[],[f1492])).
% 2.41/0.59 cnf(s230, plain, spl9_39 | spl9_2, inference(rat,[],[s113,s66,s72,s17,s5,s48,s108,s31,s10,s19])).
% 2.41/0.59 cnf(s231, plain, spl9_2, inference(rat,[],[s69,s111,s105,s230,s46,s48,s108,s31,s6,s10,s16,s19])).
% 2.41/0.59 cnf(s233, plain, spl9_3 | spl9_1, inference(rat,[],[s152,s33,s2,s4,s224,s23,s204,s231])).
% 2.41/0.59 cnf(s234, plain, spl9_4 | spl9_1, inference(rat,[],[s151,s146,s147,s8,s9,s15,s204,s233,s231])).
% 2.41/0.59 cnf(s235, plain, spl9_1, inference(rat,[],[s151,s147,s146,s11,s14,s20,s33,s152,s234,s233,s224,s23,s204,s231])).
% 2.41/0.59 cnf(s236, plain, ~spl9_22 | ~spl9_4, inference(rat,[],[s207,s32,s211,s203,s206,s231,s235])).
% 2.41/0.59 cnf(s237, plain, spl9_3, inference(rat,[],[s236,s33,s1,s21,s231,s235])).
% 2.41/0.59 cnf(s238, plain, spl9_4, inference(rat,[],[s151,s147,s146,s3,s12,s22,s231,s237,s235])).
% 2.41/0.59 cnf(s239, plain, ~spl9_22, inference(rat,[],[s236,s238])).
% 2.41/0.59 cnf(s240, plain, spl9_7, inference(rat,[],[s33,s231,s239])).
% 2.41/0.59 cnf(s242, plain, ~spl9_12, inference(rat,[],[s13,s231,s235,s240])).
% 2.41/0.59 cnf(s243, plain, spl9_10, inference(rat,[],[s7,s231,s235,s240])).
% 2.41/0.59 cnf(s244, plain, spl9_6, inference(rat,[],[s18,s231,s235,s240])).
% 2.41/0.59 cnf(s245, plain, ~spl9_79, inference(rat,[],[s146,s242,s243])).
% 2.41/0.59 cnf(s247, plain, ~spl9_80, inference(rat,[],[s147,s242,s244])).
% 2.41/0.59 cnf(s249, plain, $false, inference(rat,[],[s151,s237,s231,s247,s245])).
% 2.41/0.59 thf(f1493,plain,(
% 2.41/0.59 $false),
% 2.41/0.59 inference(avatar_sat_refutation,[],[s249])).
% 2.41/0.59 % SZS output end Proof for theBenchmark
% 2.41/0.59 % (3365749)------------------------------
% 2.41/0.59 % (3365749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.59 % (3365749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.59 % (3365749)CaDiCaL version: 2.1.3
% 2.41/0.59 % (3365749)Termination reason: Refutation
% 2.41/0.59 % (3365749)Time elapsed: 0.061 s
% 2.41/0.59 % (3365749)Peak memory usage: 14 MB
% 2.41/0.59 % (3365749)Instructions burned: 81 (million)
% 2.41/0.59 % (3365591)Success in time 0.375 s
% 2.41/0.59 % Vampire exiting
%------------------------------------------------------------------------------