%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA030^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:50:25 AM UTC 2026
% Result : Theorem 0.80s 0.40s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA030^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 18:38:37 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36 % (1680547)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.36 % (1680556)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=361883460:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.36 % (1680558)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.36 % (1680558)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.36 % (1680553)lrs+10_16_si=on:nwc=1.5:random_seed=3232022205:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.36 % (1680552)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=759458755:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.36 % (1680554)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3011104059:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.36 % (1680557)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=224514877:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.36 % (1680555)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=3312836925:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.36 % (1680556)Instruction limit reached!
% 0.22/0.36 % (1680556)------------------------------
% 0.22/0.36 % (1680556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1680556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1680558)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=3616410895:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.36 % (1680556)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1680556)Termination reason: Instruction limit
% 0.22/0.36 % (1680556)Termination phase: Saturation
% 0.22/0.36 % (1680556)Time elapsed: 0.008 s
% 0.22/0.36 % (1680556)Peak memory usage: 12 MB
% 0.22/0.36 % (1680556)Instructions burned: 27 (million)
% 0.22/0.36 % (1680554)Instruction limit reached!
% 0.22/0.36 % (1680554)------------------------------
% 0.22/0.36 % (1680554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1680554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1680554)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1680554)Termination reason: Instruction limit
% 0.22/0.36 % (1680554)Termination phase: Saturation
% 0.22/0.36 % (1680554)Time elapsed: 0.003 s
% 0.22/0.36 % (1680554)Peak memory usage: 11 MB
% 0.22/0.36 % (1680554)Instructions burned: 5 (million)
% 0.22/0.36 % (1680553)Instruction limit reached!
% 0.22/0.36 % (1680553)------------------------------
% 0.22/0.36 % (1680553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1680553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1680553)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1680553)Termination reason: Instruction limit
% 0.22/0.36 % (1680553)Termination phase: Saturation
% 0.22/0.36 % (1680553)Time elapsed: 0.009 s
% 0.22/0.36 % (1680553)Peak memory usage: 12 MB
% 0.22/0.36 % (1680553)Instructions burned: 18 (million)
% 0.22/0.36 % (1680558)Refutation not found, incomplete strategy
% 0.22/0.36 % (1680558)------------------------------
% 0.22/0.36 % (1680558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (1680567)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1752492005:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.36 % (1680558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (1680558)CaDiCaL version: 2.1.3
% 0.22/0.36 % (1680558)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36 % (1680558)Time elapsed: 0.015 s
% 0.22/0.36 % (1680558)Peak memory usage: 12 MB
% 0.22/0.36 % (1680558)Instructions burned: 26 (million)
% 0.22/0.36 % (1680558)------------------------------
% 0.22/0.36 % (1680558)------------------------------
% 0.22/0.36 % (1680567)Instruction limit reached!
% 0.22/0.36 % (1680567)------------------------------
% 0.80/0.39 % (1680567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (1680567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (1680567)CaDiCaL version: 2.1.3
% 0.80/0.39 % (1680567)Termination reason: Instruction limit
% 0.80/0.39 % (1680567)Termination phase: Saturation
% 0.80/0.39 % (1680567)Time elapsed: 0.002 s
% 0.80/0.39 % (1680567)Peak memory usage: 11 MB
% 0.80/0.39 % (1680567)Instructions burned: 6 (million)
% 0.80/0.39 % (1680566)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1535871662:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.39 % (1680566)Instruction limit reached!
% 0.80/0.39 % (1680566)------------------------------
% 0.80/0.39 % (1680566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (1680566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (1680566)CaDiCaL version: 2.1.3
% 0.80/0.39 % (1680566)Termination reason: Instruction limit
% 0.80/0.39 % (1680566)Termination phase: Preprocessing 3
% 0.80/0.39 % (1680566)Time elapsed: 0.001 s
% 0.80/0.39 % (1680566)Peak memory usage: 10 MB
% 0.80/0.39 % (1680566)Instructions burned: 2 (million)
% 0.80/0.39 % (1680568)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.39 % (1680571)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
% 0.80/0.39 % (1680571)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.39 % (1680568)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2459541634:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.80/0.39 % (1680571)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=580023801:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.80/0.39 % (1680552)Refutation not found, incomplete strategy
% 0.80/0.39 % (1680552)------------------------------
% 0.80/0.39 % (1680552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (1680552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (1680552)CaDiCaL version: 2.1.3
% 0.80/0.39 % (1680552)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.39 % (1680552)Time elapsed: 0.030 s
% 0.80/0.39 % (1680552)Peak memory usage: 12 MB
% 0.80/0.39 % (1680552)Instructions burned: 57 (million)
% 0.80/0.39 % (1680552)------------------------------
% 0.80/0.39 % (1680552)------------------------------
% 0.80/0.39 % (1680568)Instruction limit reached!
% 0.80/0.39 % (1680568)------------------------------
% 0.80/0.39 % (1680568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (1680568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (1680568)CaDiCaL version: 2.1.3
% 0.80/0.39 % (1680568)Termination reason: Instruction limit
% 0.80/0.39 % (1680568)Termination phase: Saturation
% 0.80/0.39 % (1680568)Time elapsed: 0.004 s
% 0.80/0.39 % (1680568)Peak memory usage: 12 MB
% 0.80/0.39 % (1680568)Instructions burned: 7 (million)
% 0.80/0.39 % (1680571)Instruction limit reached!
% 0.80/0.39 % (1680571)------------------------------
% 0.80/0.39 % (1680571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (1680571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (1680571)CaDiCaL version: 2.1.3
% 0.80/0.39 % (1680571)Termination reason: Instruction limit
% 0.80/0.39 % (1680571)Termination phase: Saturation
% 0.80/0.39 % (1680571)Time elapsed: 0.006 s
% 0.80/0.39 % (1680571)Peak memory usage: 12 MB
% 0.80/0.39 % (1680571)Instructions burned: 28 (million)
% 0.80/0.39 % (1680570)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1114186608:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.80/0.39 % (1680557)Instruction limit reached!
% 0.80/0.39 % (1680557)------------------------------
% 0.80/0.39 % (1680557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (1680557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680557)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680557)Termination reason: Instruction limit
% 0.80/0.40 % (1680557)Termination phase: Saturation
% 0.80/0.40 % (1680557)Time elapsed: 0.037 s
% 0.80/0.40 % (1680557)Peak memory usage: 13 MB
% 0.80/0.40 % (1680557)Instructions burned: 76 (million)
% 0.80/0.40 % (1680573)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=4193331558:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.80/0.40 % (1680570)Instruction limit reached!
% 0.80/0.40 % (1680570)------------------------------
% 0.80/0.40 % (1680570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680570)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680570)Termination reason: Instruction limit
% 0.80/0.40 % (1680570)Termination phase: Saturation
% 0.80/0.40 % (1680570)Time elapsed: 0.007 s
% 0.80/0.40 % (1680570)Peak memory usage: 12 MB
% 0.80/0.40 % (1680570)Instructions burned: 12 (million)
% 0.80/0.40 % (1680579)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2481686666:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.80/0.40 % (1680577)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.80/0.40 % (1680577)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=3931313363:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.40 % (1680577)Instruction limit reached!
% 0.80/0.40 % (1680577)------------------------------
% 0.80/0.40 % (1680577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680577)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680577)Termination reason: Instruction limit
% 0.80/0.40 % (1680577)Termination phase: Saturation
% 0.80/0.40 % (1680577)Time elapsed: 0.002 s
% 0.80/0.40 % (1680577)Peak memory usage: 11 MB
% 0.80/0.40 % (1680577)Instructions burned: 3 (million)
% 0.80/0.40 % (1680580)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1579499282:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.80/0.40 % (1680579)Instruction limit reached!
% 0.80/0.40 % (1680579)------------------------------
% 0.80/0.40 % (1680579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680579)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680579)Termination reason: Instruction limit
% 0.80/0.40 % (1680579)Termination phase: Saturation
% 0.80/0.40 % (1680579)Time elapsed: 0.011 s
% 0.80/0.40 % (1680579)Peak memory usage: 13 MB
% 0.80/0.40 % (1680579)Instructions burned: 41 (million)
% 0.80/0.40 % (1680582)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2360282212:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.80/0.40 % (1680576)lrs+10_1_si=on:cs=on:random_seed=2472816635:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.80/0.40 % (1680587)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1242985843:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.80/0.40 % (1680576)Instruction limit reached!
% 0.80/0.40 % (1680576)------------------------------
% 0.80/0.40 % (1680576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680576)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680576)Termination reason: Instruction limit
% 0.80/0.40 % (1680576)Termination phase: Saturation
% 0.80/0.40 % (1680576)Time elapsed: 0.007 s
% 0.80/0.40 % (1680576)Peak memory usage: 12 MB
% 0.80/0.40 % (1680576)Instructions burned: 8 (million)
% 0.80/0.40 % (1680582)Refutation not found, incomplete strategy
% 0.80/0.40 % (1680582)------------------------------
% 0.80/0.40 % (1680582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680582)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680582)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.40 % (1680582)Time elapsed: 0.007 s
% 0.80/0.40 % (1680582)Peak memory usage: 12 MB
% 0.80/0.40 % (1680582)Instructions burned: 12 (million)
% 0.80/0.40 % (1680582)------------------------------
% 0.80/0.40 % (1680582)------------------------------
% 0.80/0.40 % (1680580)Refutation not found, incomplete strategy
% 0.80/0.40 % (1680580)------------------------------
% 0.80/0.40 % (1680580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680586)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2303167530:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.80/0.40 % (1680580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680580)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680580)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.40 % (1680580)Time elapsed: 0.018 s
% 0.80/0.40 % (1680580)Peak memory usage: 13 MB
% 0.80/0.40 % (1680580)Instructions burned: 33 (million)
% 0.80/0.40 % (1680580)------------------------------
% 0.80/0.40 % (1680580)------------------------------
% 0.80/0.40 % (1680586)Instruction limit reached!
% 0.80/0.40 % (1680586)------------------------------
% 0.80/0.40 % (1680586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680586)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680586)Termination reason: Instruction limit
% 0.80/0.40 % (1680586)Termination phase: Saturation
% 0.80/0.40 % (1680586)Time elapsed: 0.008 s
% 0.80/0.40 % (1680586)Peak memory usage: 12 MB
% 0.80/0.40 % (1680586)Instructions burned: 15 (million)
% 0.80/0.40 % (1680573)Instruction limit reached!
% 0.80/0.40 % (1680573)------------------------------
% 0.80/0.40 % (1680573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680573)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680573)Termination reason: Instruction limit
% 0.80/0.40 % (1680573)Termination phase: Saturation
% 0.80/0.40 % (1680573)Time elapsed: 0.044 s
% 0.80/0.40 % (1680573)Peak memory usage: 13 MB
% 0.80/0.40 % (1680573)Instructions burned: 87 (million)
% 0.80/0.40 % (1680594)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2926613587:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.80/0.40 % (1680591)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3371685025:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.80/0.40 % (1680592)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2995912785:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.80/0.40 % (1680555) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1680547-1680555"...
% 0.80/0.40 % (1680592)Instruction limit reached!
% 0.80/0.40 % (1680592)------------------------------
% 0.80/0.40 % (1680592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680592)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680592)Termination reason: Instruction limit
% 0.80/0.40 % (1680592)Termination phase: Saturation
% 0.80/0.40 % (1680592)Time elapsed: 0.002 s
% 0.80/0.40 % (1680592)Peak memory usage: 12 MB
% 0.80/0.40 % (1680592)Instructions burned: 4 (million)
% 0.80/0.40 % (1680591)Instruction limit reached!
% 0.80/0.40 % (1680591)------------------------------
% 0.80/0.40 % (1680591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680591)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680591)Termination reason: Instruction limit
% 0.80/0.40 % (1680591)Termination phase: Saturation
% 0.80/0.40 % (1680591)Time elapsed: 0.008 s
% 0.80/0.40 % (1680591)Peak memory usage: 12 MB
% 0.80/0.40 % (1680591)Instructions burned: 14 (million)
% 0.80/0.40 % (1680595)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2120729861:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.80/0.40 % (1680596)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4254524821:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.80/0.40 % (1680594)Instruction limit reached!
% 0.80/0.40 % (1680594)------------------------------
% 0.80/0.40 % (1680594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.40 % (1680594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.40 % (1680594)CaDiCaL version: 2.1.3
% 0.80/0.40 % (1680594)Termination reason: Instruction limit
% 0.80/0.40 % (1680594)Termination phase: Saturation
% 0.80/0.40 % (1680594)Time elapsed: 0.012 s
% 0.80/0.40 % (1680594)Peak memory usage: 12 MB
% 0.80/0.40 % (1680594)Instructions burned: 26 (million)
% 0.80/0.40 % (1680555)...printing done.
% 0.80/0.40 % (1680555)Refutation found. Thanks to Tanya!
% 0.80/0.40 % SZS status Theorem for theBenchmark
% 0.80/0.40 % SZS output start Proof for theBenchmark
% 0.80/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.80/0.40 thf(func_def_3, type, sP0: ((($o > $o) > ($o > $o) > $o) > $o)).
% 0.80/0.40 thf(func_def_4, type, sK1: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 0.80/0.40 thf(func_def_5, type, sK2: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 0.80/0.40 thf(func_def_6, type, sK3: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 0.80/0.40 thf(func_def_7, type, sK4: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_8, type, sK5: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_9, type, sK6: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_10, type, sK7: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 0.80/0.40 thf(func_def_11, type, sK8: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_12, type, sK9: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_13, type, sK10: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_14, type, sK11: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_15, type, sK12: ((($o > $o) > ($o > $o) > $o) > ($o > $o) > $o)).
% 0.80/0.40 thf(func_def_16, type, sK13: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_17, type, sK14: ((($o > $o) > ($o > $o) > $o) > $o > $o)).
% 0.80/0.40 thf(func_def_18, type, vNOT: ($o > $o)).
% 0.80/0.40 thf(func_def_19, type, db0: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_20, type, db1: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_21, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.80/0.40 thf(func_def_22, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.80/0.40 thf(func_def_24, type, sK16: $o).
% 0.80/0.40 thf(func_def_25, type, db2: !>[X0: $tType]:(X0)).
% 0.80/0.40 thf(func_def_26, type, sK17: $o).
% 0.80/0.40 thf(func_def_27, type, sK18: $o).
% 0.80/0.40 thf(func_def_28, type, sK19: $o).
% 0.80/0.40 thf(func_def_29, type, sK20: $o).
% 0.80/0.40 thf(func_def_30, type, sK21: $o).
% 0.80/0.40 thf(func_def_31, type, sK22: $o).
% 0.80/0.40 thf(func_def_32, type, sK23: $o).
% 0.80/0.40 thf(func_def_33, type, sK24: $o).
% 0.80/0.40 thf(func_def_34, type, sK25: $o).
% 0.80/0.40 thf(func_def_35, type, sK26: $o).
% 0.80/0.40 thf(func_def_36, type, sK27: $o).
% 0.80/0.40 thf(f1,conjecture,(
% 0.80/0.40 ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X4 : ($o > $o),X3 : ($o > $o),X5 : (($o > $o) > $o)] : ((~(X5 @ X4) & (X5 @ X3)) => ~(X0 @ X4 @ X3)) & ! [X8 : ($o > $o),X5 : (($o > $o) > $o),X3 : ($o > $o),X6 : ($o > $o),X4 : ($o > $o),X11 : (($o > $o) > $o),X10 : (($o > $o) > $o),X9 : (($o > $o) > $o),X7 : ($o > $o)] : (((X9 @ X4) & ~(X5 @ X8) & ~(X9 @ X3) & ~(X5 @ X6) & ~(X11 @ X4) & ~(X10 @ X3) & ~(X11 @ X8) & ~(X11 @ X6) & ~(X10 @ X8) & ~(X11 @ X3) & ~(X9 @ X6) & ~(X10 @ X4) & (X11 @ X7) & ~(X5 @ X4) & ~(X9 @ X8) & ~(X9 @ X7) & ~(X10 @ X7) & (X10 @ X6) & ~(X5 @ X7) & (X5 @ X3)) => ((X0 @ X7 @ X3) | (X0 @ X8 @ X3) | (X0 @ X7 @ X4) | (X0 @ X6 @ X3) | (X0 @ X4 @ X3) | (X0 @ X6 @ X4) | (X0 @ X8 @ X7) | (X0 @ X8 @ X4) | (X0 @ X8 @ X6) | (X0 @ X7 @ X6))))),
% 0.80/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_l_2_5_4)).
% 0.80/0.40 thf(f2,negated_conjecture,(
% 0.80/0.40 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X4 : ($o > $o),X3 : ($o > $o),X5 : (($o > $o) > $o)] : ((~(X5 @ X4) & (X5 @ X3)) => ~(X0 @ X4 @ X3)) & ! [X8 : ($o > $o),X5 : (($o > $o) > $o),X3 : ($o > $o),X6 : ($o > $o),X4 : ($o > $o),X11 : (($o > $o) > $o),X10 : (($o > $o) > $o),X9 : (($o > $o) > $o),X7 : ($o > $o)] : (((X9 @ X4) & ~(X5 @ X8) & ~(X9 @ X3) & ~(X5 @ X6) & ~(X11 @ X4) & ~(X10 @ X3) & ~(X11 @ X8) & ~(X11 @ X6) & ~(X10 @ X8) & ~(X11 @ X3) & ~(X9 @ X6) & ~(X10 @ X4) & (X11 @ X7) & ~(X5 @ X4) & ~(X9 @ X8) & ~(X9 @ X7) & ~(X10 @ X7) & (X10 @ X6) & ~(X5 @ X7) & (X5 @ X3)) => ((X0 @ X7 @ X3) | (X0 @ X8 @ X3) | (X0 @ X7 @ X4) | (X0 @ X6 @ X3) | (X0 @ X4 @ X3) | (X0 @ X6 @ X4) | (X0 @ X8 @ X7) | (X0 @ X8 @ X4) | (X0 @ X8 @ X6) | (X0 @ X7 @ X6))))),
% 0.80/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.80/0.40 thf(f3,plain,(
% 0.80/0.40 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) & ! [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((~(X5 @ X3) & (X5 @ X4)) => ~(X0 @ X3 @ X4)) & ! [X6 : ($o > $o),X7 : (($o > $o) > $o),X8 : ($o > $o),X9 : ($o > $o),X10 : ($o > $o),X11 : (($o > $o) > $o),X12 : (($o > $o) > $o),X13 : (($o > $o) > $o),X14 : ($o > $o)] : (((X13 @ X10) & ~(X7 @ X6) & ~(X13 @ X8) & ~(X7 @ X9) & ~(X11 @ X10) & ~(X12 @ X8) & ~(X11 @ X6) & ~(X11 @ X9) & ~(X12 @ X6) & ~(X11 @ X8) & ~(X13 @ X9) & ~(X12 @ X10) & (X11 @ X14) & ~(X7 @ X10) & ~(X13 @ X6) & ~(X13 @ X14) & ~(X12 @ X14) & (X12 @ X9) & ~(X7 @ X14) & (X7 @ X8)) => ((X0 @ X14 @ X8) | (X0 @ X6 @ X8) | (X0 @ X14 @ X10) | (X0 @ X9 @ X8) | (X0 @ X10 @ X8) | (X0 @ X9 @ X10) | (X0 @ X6 @ X14) | (X0 @ X6 @ X10) | (X0 @ X6 @ X9) | (X0 @ X14 @ X9))))),
% 0.80/0.40 inference(rectify,[],[f2])).
% 0.80/0.40 thf(f4,plain,(
% 0.80/0.40 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X2 : ($o > $o),X1 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) => (((X0 @ X2 @ X1)) = $true)) & ! [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((~ (((X5 @ X3)) = $true) & (((X5 @ X4)) = $true)) => ~ ($true = ((X0 @ X3 @ X4)))) & ! [X6 : ($o > $o),X7 : (($o > $o) > $o),X8 : ($o > $o),X9 : ($o > $o),X10 : ($o > $o),X11 : (($o > $o) > $o),X12 : (($o > $o) > $o),X13 : (($o > $o) > $o),X14 : ($o > $o)] : ((($true = ((X13 @ X10))) & ~ ($true = ((X7 @ X6))) & ~ (((X13 @ X8)) = $true) & ~ (((X7 @ X9)) = $true) & ~ ($true = ((X11 @ X10))) & ~ (((X12 @ X8)) = $true) & ~ (((X11 @ X6)) = $true) & ~ (((X11 @ X9)) = $true) & ~ (((X12 @ X6)) = $true) & ~ (((X11 @ X8)) = $true) & ~ (((X13 @ X9)) = $true) & ~ ($true = ((X12 @ X10))) & (((X11 @ X14)) = $true) & ~ (((X7 @ X10)) = $true) & ~ (((X13 @ X6)) = $true) & ~ ($true = ((X13 @ X14))) & ~ ($true = ((X12 @ X14))) & (((X12 @ X9)) = $true) & ~ (((X7 @ X14)) = $true) & (((X7 @ X8)) = $true)) => (($true = ((X0 @ X6 @ X10))) | ($true = ((X0 @ X9 @ X8))) | (((X0 @ X6 @ X9)) = $true) | (((X0 @ X14 @ X8)) = $true) | ($true = ((X0 @ X14 @ X10))) | ($true = ((X0 @ X6 @ X14))) | ($true = ((X0 @ X6 @ X8))) | (((X0 @ X9 @ X10)) = $true) | (((X0 @ X10 @ X8)) = $true) | (((X0 @ X14 @ X9)) = $true))))),
% 0.80/0.40 inference(fool_elimination,[],[f3])).
% 0.80/0.40 thf(f5,plain,(
% 0.80/0.40 ~ ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X2 : ($o > $o),X1 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) => (((X0 @ X2 @ X1)) = $true)) & ! [X11 : (($o > $o) > $o),X8 : ($o > $o),X14 : ($o > $o),X9 : ($o > $o),X6 : ($o > $o),X10 : ($o > $o),X7 : (($o > $o) > $o),X12 : (($o > $o) > $o),X13 : (($o > $o) > $o)] : (((((X11 @ X6)) != $true) & (((X11 @ X9)) != $true) & (((X12 @ X9)) = $true) & ($true != ((X12 @ X14))) & (((X7 @ X14)) != $true) & ($true != ((X7 @ X6))) & (((X7 @ X8)) = $true) & ($true != ((X11 @ X10))) & (((X11 @ X14)) = $true) & (((X7 @ X10)) != $true) & (((X12 @ X8)) != $true) & ($true != ((X12 @ X10))) & (((X12 @ X6)) != $true) & (((X11 @ X8)) != $true) & (((X13 @ X6)) != $true) & ($true = ((X13 @ X10))) & ($true != ((X13 @ X14))) & (((X13 @ X8)) != $true) & (((X13 @ X9)) != $true) & (((X7 @ X9)) != $true)) => (($true = ((X0 @ X6 @ X10))) | ($true = ((X0 @ X9 @ X8))) | (((X0 @ X6 @ X9)) = $true) | (((X0 @ X14 @ X8)) = $true) | ($true = ((X0 @ X14 @ X10))) | ($true = ((X0 @ X6 @ X14))) | ($true = ((X0 @ X6 @ X8))) | (((X0 @ X9 @ X10)) = $true) | (((X0 @ X10 @ X8)) = $true) | (((X0 @ X14 @ X9)) = $true))) & ! [X4 : ($o > $o),X5 : (($o > $o) > $o),X3 : ($o > $o)] : (((((X5 @ X3)) != $true) & (((X5 @ X4)) = $true)) => ($true != ((X0 @ X3 @ X4)))))),
% 0.80/0.40 inference(flattening,[],[f4])).
% 0.80/0.40 thf(f6,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : ($o > $o),X2 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) & (((X0 @ X2 @ X1)) != $true)) | ? [X11 : (($o > $o) > $o),X8 : ($o > $o),X14 : ($o > $o),X9 : ($o > $o),X6 : ($o > $o),X10 : ($o > $o),X7 : (($o > $o) > $o),X12 : (($o > $o) > $o),X13 : (($o > $o) > $o)] : ((($true != ((X0 @ X6 @ X10))) & ($true != ((X0 @ X9 @ X8))) & (((X0 @ X6 @ X9)) != $true) & (((X0 @ X14 @ X8)) != $true) & ($true != ((X0 @ X14 @ X10))) & ($true != ((X0 @ X6 @ X14))) & ($true != ((X0 @ X6 @ X8))) & (((X0 @ X9 @ X10)) != $true) & (((X0 @ X10 @ X8)) != $true) & (((X0 @ X14 @ X9)) != $true)) & ((((X11 @ X6)) != $true) & (((X11 @ X9)) != $true) & (((X12 @ X9)) = $true) & ($true != ((X12 @ X14))) & (((X7 @ X14)) != $true) & ($true != ((X7 @ X6))) & (((X7 @ X8)) = $true) & ($true != ((X11 @ X10))) & (((X11 @ X14)) = $true) & (((X7 @ X10)) != $true) & (((X12 @ X8)) != $true) & ($true != ((X12 @ X10))) & (((X12 @ X6)) != $true) & (((X11 @ X8)) != $true) & (((X13 @ X6)) != $true) & ($true = ((X13 @ X10))) & ($true != ((X13 @ X14))) & (((X13 @ X8)) != $true) & (((X13 @ X9)) != $true) & (((X7 @ X9)) != $true))) | ? [X4 : ($o > $o),X5 : (($o > $o) > $o),X3 : ($o > $o)] : (($true = ((X0 @ X3 @ X4))) & ((((X5 @ X3)) != $true) & (((X5 @ X4)) = $true))))),
% 0.80/0.40 inference(ennf_transformation,[],[f5])).
% 0.80/0.40 thf(f7,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((((X5 @ X3)) != $true) & ($true = ((X0 @ X3 @ X4))) & (((X5 @ X4)) = $true)) | ? [X1 : ($o > $o),X2 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) & (((X0 @ X2 @ X1)) != $true)) | ? [X12 : (($o > $o) > $o),X7 : (($o > $o) > $o),X11 : (($o > $o) > $o),X8 : ($o > $o),X9 : ($o > $o),X14 : ($o > $o),X13 : (($o > $o) > $o),X10 : ($o > $o),X6 : ($o > $o)] : ((((X7 @ X9)) != $true) & (((X13 @ X6)) != $true) & ($true != ((X11 @ X10))) & (((X0 @ X6 @ X9)) != $true) & (((X11 @ X8)) != $true) & (((X13 @ X8)) != $true) & ($true != ((X0 @ X14 @ X10))) & (((X11 @ X14)) = $true) & ($true != ((X0 @ X6 @ X10))) & (((X12 @ X6)) != $true) & (((X12 @ X8)) != $true) & ($true != ((X12 @ X14))) & (((X12 @ X9)) = $true) & ($true != ((X7 @ X6))) & (((X11 @ X6)) != $true) & (((X0 @ X14 @ X8)) != $true) & (((X7 @ X10)) != $true) & (((X0 @ X9 @ X10)) != $true) & ($true != ((X0 @ X6 @ X14))) & (((X7 @ X14)) != $true) & ($true != ((X13 @ X14))) & ($true != ((X12 @ X10))) & (((X11 @ X9)) != $true) & (((X0 @ X10 @ X8)) != $true) & ($true != ((X0 @ X9 @ X8))) & (((X0 @ X14 @ X9)) != $true) & (((X13 @ X9)) != $true) & ($true = ((X13 @ X10))) & ($true != ((X0 @ X6 @ X8))) & (((X7 @ X8)) = $true)))),
% 0.80/0.40 inference(flattening,[],[f6])).
% 0.80/0.40 thf(f8,definition,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X12 : (($o > $o) > $o),X7 : (($o > $o) > $o),X11 : (($o > $o) > $o),X8 : ($o > $o),X9 : ($o > $o),X14 : ($o > $o),X13 : (($o > $o) > $o),X10 : ($o > $o),X6 : ($o > $o)] : ((((X7 @ X9)) != $true) & (((X13 @ X6)) != $true) & ($true != ((X11 @ X10))) & (((X0 @ X6 @ X9)) != $true) & (((X11 @ X8)) != $true) & (((X13 @ X8)) != $true) & ($true != ((X0 @ X14 @ X10))) & (((X11 @ X14)) = $true) & ($true != ((X0 @ X6 @ X10))) & (((X12 @ X6)) != $true) & (((X12 @ X8)) != $true) & ($true != ((X12 @ X14))) & (((X12 @ X9)) = $true) & ($true != ((X7 @ X6))) & (((X11 @ X6)) != $true) & (((X0 @ X14 @ X8)) != $true) & (((X7 @ X10)) != $true) & (((X0 @ X9 @ X10)) != $true) & ($true != ((X0 @ X6 @ X14))) & (((X7 @ X14)) != $true) & ($true != ((X13 @ X14))) & ($true != ((X12 @ X10))) & (((X11 @ X9)) != $true) & (((X0 @ X10 @ X8)) != $true) & ($true != ((X0 @ X9 @ X8))) & (((X0 @ X14 @ X9)) != $true) & (((X13 @ X9)) != $true) & ($true = ((X13 @ X10))) & ($true != ((X0 @ X6 @ X8))) & (((X7 @ X8)) = $true)) | ~ (((sP0 @ X0)) = $true))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.80/0.40 thf(f9,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((((X5 @ X3)) != $true) & ($true = ((X0 @ X3 @ X4))) & (((X5 @ X4)) = $true)) | ? [X1 : ($o > $o),X2 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) & (((X0 @ X2 @ X1)) != $true)) | (((sP0 @ X0)) = $true))),
% 0.80/0.40 inference(definition_folding,[],[f7,f8])).
% 0.80/0.40 thf(f10,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X12 : (($o > $o) > $o),X7 : (($o > $o) > $o),X11 : (($o > $o) > $o),X8 : ($o > $o),X9 : ($o > $o),X14 : ($o > $o),X13 : (($o > $o) > $o),X10 : ($o > $o),X6 : ($o > $o)] : ((((X7 @ X9)) != $true) & (((X13 @ X6)) != $true) & ($true != ((X11 @ X10))) & (((X0 @ X6 @ X9)) != $true) & (((X11 @ X8)) != $true) & (((X13 @ X8)) != $true) & ($true != ((X0 @ X14 @ X10))) & (((X11 @ X14)) = $true) & ($true != ((X0 @ X6 @ X10))) & (((X12 @ X6)) != $true) & (((X12 @ X8)) != $true) & ($true != ((X12 @ X14))) & (((X12 @ X9)) = $true) & ($true != ((X7 @ X6))) & (((X11 @ X6)) != $true) & (((X0 @ X14 @ X8)) != $true) & (((X7 @ X10)) != $true) & (((X0 @ X9 @ X10)) != $true) & ($true != ((X0 @ X6 @ X14))) & (((X7 @ X14)) != $true) & ($true != ((X13 @ X14))) & ($true != ((X12 @ X10))) & (((X11 @ X9)) != $true) & (((X0 @ X10 @ X8)) != $true) & ($true != ((X0 @ X9 @ X8))) & (((X0 @ X14 @ X9)) != $true) & (((X13 @ X9)) != $true) & ($true = ((X13 @ X10))) & ($true != ((X0 @ X6 @ X8))) & (((X7 @ X8)) = $true)) | (((sP0 @ X0)) != $true))),
% 0.80/0.40 inference(nnf_transformation,[],[f8])).
% 0.80/0.40 thf(f11,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : (($o > $o) > $o),X2 : (($o > $o) > $o),X3 : (($o > $o) > $o),X4 : ($o > $o),X5 : ($o > $o),X6 : ($o > $o),X7 : (($o > $o) > $o),X8 : ($o > $o),X9 : ($o > $o)] : ((((X2 @ X5)) != $true) & (((X7 @ X9)) != $true) & (((X3 @ X8)) != $true) & (((X0 @ X9 @ X5)) != $true) & ($true != ((X3 @ X4))) & (((X7 @ X4)) != $true) & ($true != ((X0 @ X6 @ X8))) & ($true = ((X3 @ X6))) & ($true != ((X0 @ X9 @ X8))) & (((X1 @ X9)) != $true) & (((X1 @ X4)) != $true) & (((X1 @ X6)) != $true) & ($true = ((X1 @ X5))) & (((X2 @ X9)) != $true) & ($true != ((X3 @ X9))) & (((X0 @ X6 @ X4)) != $true) & ($true != ((X2 @ X8))) & ($true != ((X0 @ X5 @ X8))) & (((X0 @ X9 @ X6)) != $true) & (((X2 @ X6)) != $true) & ($true != ((X7 @ X6))) & ($true != ((X1 @ X8))) & (((X3 @ X5)) != $true) & (((X0 @ X8 @ X4)) != $true) & (((X0 @ X5 @ X4)) != $true) & ($true != ((X0 @ X6 @ X5))) & (((X7 @ X5)) != $true) & (((X7 @ X8)) = $true) & (((X0 @ X9 @ X4)) != $true) & ($true = ((X2 @ X4)))) | (((sP0 @ X0)) != $true))),
% 0.80/0.40 inference(rectify,[],[f10])).
% 0.80/0.40 thf(f12,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (((((sK2 @ X0 @ (sK5 @ X0))) != $true) & (((sK7 @ X0 @ (sK9 @ X0))) != $true) & (((sK3 @ X0 @ (sK8 @ X0))) != $true) & ($true != ((X0 @ (sK9 @ X0) @ (sK5 @ X0)))) & ($true != ((sK3 @ X0 @ (sK4 @ X0)))) & (((sK7 @ X0 @ (sK4 @ X0))) != $true) & (((X0 @ (sK6 @ X0) @ (sK8 @ X0))) != $true) & ($true = ((sK3 @ X0 @ (sK6 @ X0)))) & (((X0 @ (sK9 @ X0) @ (sK8 @ X0))) != $true) & (((sK1 @ X0 @ (sK9 @ X0))) != $true) & ($true != ((sK1 @ X0 @ (sK4 @ X0)))) & (((sK1 @ X0 @ (sK6 @ X0))) != $true) & (((sK1 @ X0 @ (sK5 @ X0))) = $true) & ($true != ((sK2 @ X0 @ (sK9 @ X0)))) & (((sK3 @ X0 @ (sK9 @ X0))) != $true) & ($true != ((X0 @ (sK6 @ X0) @ (sK4 @ X0)))) & (((sK2 @ X0 @ (sK8 @ X0))) != $true) & (((X0 @ (sK5 @ X0) @ (sK8 @ X0))) != $true) & ($true != ((X0 @ (sK9 @ X0) @ (sK6 @ X0)))) & (((sK2 @ X0 @ (sK6 @ X0))) != $true) & ($true != ((sK7 @ X0 @ (sK6 @ X0)))) & (((sK1 @ X0 @ (sK8 @ X0))) != $true) & (((sK3 @ X0 @ (sK5 @ X0))) != $true) & (((X0 @ (sK8 @ X0) @ (sK4 @ X0))) != $true) & (((X0 @ (sK5 @ X0) @ (sK4 @ X0))) != $true) & (((X0 @ (sK6 @ X0) @ (sK5 @ X0))) != $true) & (((sK7 @ X0 @ (sK5 @ X0))) != $true) & ($true = ((sK7 @ X0 @ (sK8 @ X0)))) & ($true != ((X0 @ (sK9 @ X0) @ (sK4 @ X0)))) & ($true = ((sK2 @ X0 @ (sK4 @ X0))))) | (((sP0 @ X0)) != $true))),
% 0.80/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0)],[f11])).
% 0.80/0.40 thf(f13,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (? [X1 : ($o > $o),X2 : ($o > $o),X3 : (($o > $o) > $o)] : ((((X3 @ X1)) != $true) & (((X0 @ X1 @ X2)) = $true) & ($true = ((X3 @ X2)))) | ? [X4 : ($o > $o),X5 : ($o > $o)] : ((((X0 @ X4 @ X5)) = $true) & (((X0 @ X5 @ X4)) != $true)) | (((sP0 @ X0)) = $true))),
% 0.80/0.40 inference(rectify,[],[f9])).
% 0.80/0.40 thf(f14,plain,(
% 0.80/0.40 ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((($true != ((sK12 @ X0 @ (sK10 @ X0)))) & (((X0 @ (sK10 @ X0) @ (sK11 @ X0))) = $true) & (((sK12 @ X0 @ (sK11 @ X0))) = $true)) | ((((X0 @ (sK13 @ X0) @ (sK14 @ X0))) = $true) & (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) != $true)) | (((sP0 @ X0)) = $true))),
% 0.80/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0),skolemize(X9,sK9 @ X0)],[f13])).
% 0.80/0.40 thf(f16,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK9 @ X0) @ (sK4 @ X0)))) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f19,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK6 @ X0) @ (sK5 @ X0))) != $true) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f20,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK5 @ X0) @ (sK4 @ X0))) != $true) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f21,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK8 @ X0) @ (sK4 @ X0))) != $true) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f26,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK9 @ X0) @ (sK6 @ X0)))) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f27,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK5 @ X0) @ (sK8 @ X0))) != $true) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f29,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK6 @ X0) @ (sK4 @ X0)))) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f36,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK9 @ X0) @ (sK8 @ X0))) != $true) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f38,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK6 @ X0) @ (sK8 @ X0))) != $true) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f41,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : (($true != ((X0 @ (sK9 @ X0) @ (sK5 @ X0)))) | (((sP0 @ X0)) != $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f12])).
% 0.80/0.40 thf(f45,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK14 @ X0) @ (sK13 @ X0))) != $true) | (((sP0 @ X0)) = $true) | (((sK12 @ X0 @ (sK11 @ X0))) = $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f14])).
% 0.80/0.40 thf(f46,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK13 @ X0) @ (sK14 @ X0))) = $true) | (((sP0 @ X0)) = $true) | (((sK12 @ X0 @ (sK11 @ X0))) = $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f14])).
% 0.80/0.40 thf(f47,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK10 @ X0) @ (sK11 @ X0))) = $true) | (((X0 @ (sK14 @ X0) @ (sK13 @ X0))) != $true) | (((sP0 @ X0)) = $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f14])).
% 0.80/0.40 thf(f48,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK13 @ X0) @ (sK14 @ X0))) = $true) | (((X0 @ (sK10 @ X0) @ (sK11 @ X0))) = $true) | (((sP0 @ X0)) = $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f14])).
% 0.80/0.40 thf(f49,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK14 @ X0) @ (sK13 @ X0))) != $true) | ($true != ((sK12 @ X0 @ (sK10 @ X0)))) | (((sP0 @ X0)) = $true)) )),
% 0.80/0.40 inference(cnf_transformation,[],[f14])).
% 0.80/0.40 thf(f50,plain,(
% 0.80/0.40 ( ! [X0 : (($o > $o) > ($o > $o) > $o)] : ((((X0 @ (sK13 @ X0) @ (sK14 @ X0))) = $true) | (((sP0 @ X0)) = $true) | ($true != ((sK12 @ X0 @ (sK10 @ X0))))) )),
% 0.80/0.40 inference(cnf_transformation,[],[f14])).
% 0.80/0.40 thf(f52,plain,(
% 0.80/0.40 (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.40 inference(primitive_instantiation,[],[f45])).
% 0.80/0.40 thf(f65,plain,(
% 0.80/0.40 ((((sK14 @ =) = (sK13 @ =))) != $true) | (((sK12 @ = @ (sK11 @ =))) = $true) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f52])).
% 0.80/0.40 thf(f66,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | (((sK13 @ =)) != ((sK14 @ =))) | (((sK12 @ = @ (sK11 @ =))) = $true)),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f65])).
% 0.80/0.40 thf(f71,definition,(
% 0.80/0.40 spl15_1 <=> (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition])).
% 0.80/0.40 thf(f94,definition,(
% 0.80/0.40 spl15_6 <=> (((sK13 @ =)) = ((sK14 @ =)))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition])).
% 0.80/0.40 thf(f96,plain,(
% 0.80/0.40 (((sK13 @ =)) != ((sK14 @ =))) | spl15_6),
% 0.80/0.40 inference(avatar_component_clause,[],[f94])).
% 0.80/0.40 thf(f98,definition,(
% 0.80/0.40 spl15_7 <=> (((sK12 @ = @ (sK11 @ =))) = $true)),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition])).
% 0.80/0.40 thf(f100,plain,(
% 0.80/0.40 (((sK12 @ = @ (sK11 @ =))) = $true) | ~spl15_7),
% 0.80/0.40 inference(avatar_component_clause,[],[f98])).
% 0.80/0.40 thf(f102,definition,(
% 0.80/0.40 spl15_8 <=> (((sP0 @ =)) = $true)),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition])).
% 0.80/0.40 thf(f104,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | ~spl15_8),
% 0.80/0.40 inference(avatar_component_clause,[],[f102])).
% 0.80/0.40 thf(f105,plain,(
% 0.80/0.40 ~spl15_6 | spl15_7 | spl15_8),
% 0.80/0.40 inference(avatar_split_clause,[],[f66,f102,f98,f94])).
% 0.80/0.40 thf(f106,plain,(
% 0.80/0.40 (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.40 inference(primitive_instantiation,[],[f46])).
% 0.80/0.40 thf(f119,plain,(
% 0.80/0.40 ((((sK13 @ =) = (sK14 @ =))) = $true) | (((sK12 @ = @ (sK11 @ =))) = $true) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f106])).
% 0.80/0.40 thf(f120,plain,(
% 0.80/0.40 (((sK12 @ = @ (sK11 @ =))) = $true) | (((sK13 @ =)) = ((sK14 @ =))) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f119])).
% 0.80/0.40 thf(f127,definition,(
% 0.80/0.40 spl15_10 <=> (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) = $true)),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition])).
% 0.80/0.40 thf(f131,plain,(
% 0.80/0.40 spl15_7 | spl15_8 | spl15_6),
% 0.80/0.40 inference(avatar_split_clause,[],[f120,f94,f102,f98])).
% 0.80/0.40 thf(f132,plain,(
% 0.80/0.40 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true)),
% 0.80/0.40 inference(primitive_instantiation,[],[f49])).
% 0.80/0.40 thf(f140,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | ($true != ((sK12 @ = @ (sK10 @ =)))) | ((((sK14 @ =) = (sK13 @ =))) != $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f132])).
% 0.80/0.40 thf(f141,plain,(
% 0.80/0.40 (((sK13 @ =)) != ((sK14 @ =))) | (((sP0 @ =)) = $true) | ($true != ((sK12 @ = @ (sK10 @ =))))),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f140])).
% 0.80/0.40 thf(f156,definition,(
% 0.80/0.40 spl15_12 <=> ($true = ((sK12 @ = @ (sK10 @ =))))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition])).
% 0.80/0.40 thf(f159,plain,(
% 0.80/0.40 ~spl15_6 | spl15_8 | ~spl15_12),
% 0.80/0.40 inference(avatar_split_clause,[],[f141,f156,f102,f94])).
% 0.80/0.40 thf(f166,plain,(
% 0.80/0.40 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true) | (((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.40 inference(primitive_instantiation,[],[f50])).
% 0.80/0.40 thf(f174,plain,(
% 0.80/0.40 ((((sK13 @ =) = (sK14 @ =))) = $true) | ($true != ((sK12 @ = @ (sK10 @ =)))) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f166])).
% 0.80/0.40 thf(f175,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | ($true != ((sK12 @ = @ (sK10 @ =)))) | (((sK13 @ =)) = ((sK14 @ =)))),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f174])).
% 0.80/0.40 thf(f186,plain,(
% 0.80/0.40 spl15_6 | ~spl15_12 | spl15_8),
% 0.80/0.40 inference(avatar_split_clause,[],[f175,f102,f156,f94])).
% 0.80/0.40 thf(f188,plain,(
% 0.80/0.40 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.40 inference(primitive_instantiation,[],[f47])).
% 0.80/0.40 thf(f193,plain,(
% 0.80/0.40 ((((sK14 @ =) = (sK13 @ =))) != $true) | ((((sK10 @ =) = (sK11 @ =))) = $true) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f188])).
% 0.80/0.40 thf(f194,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | ((((sK10 @ =) = (sK11 @ =))) = $true) | (((sK13 @ =)) != ((sK14 @ =)))),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f193])).
% 0.80/0.40 thf(f195,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | (((sK13 @ =)) != ((sK14 @ =))) | (((sK11 @ =)) = ((sK10 @ =)))),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f194])).
% 0.80/0.40 thf(f207,definition,(
% 0.80/0.40 spl15_15 <=> (((sK11 @ =)) = ((sK10 @ =)))),
% 0.80/0.40 introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition])).
% 0.80/0.40 thf(f209,plain,(
% 0.80/0.40 (((sK11 @ =)) = ((sK10 @ =))) | ~spl15_15),
% 0.80/0.40 inference(avatar_component_clause,[],[f207])).
% 0.80/0.40 thf(f210,plain,(
% 0.80/0.40 spl15_15 | ~spl15_6 | spl15_8),
% 0.80/0.40 inference(avatar_split_clause,[],[f195,f102,f94,f207])).
% 0.80/0.40 thf(f247,plain,(
% 0.80/0.40 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true) | ($true = ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) = $true)),
% 0.80/0.40 inference(primitive_instantiation,[],[f48])).
% 0.80/0.40 thf(f250,plain,(
% 0.80/0.40 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false))))))) = $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) = $true) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false))))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false))))))) = $true)),
% 0.80/0.40 inference(primitive_instantiation,[],[f48])).
% 0.80/0.40 thf(f254,plain,(
% 0.80/0.40 ((((sK13 @ =) = (sK14 @ =))) = $true) | ((((sK10 @ =) = (sK11 @ =))) = $true) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f247])).
% 0.80/0.40 thf(f255,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | (((sK13 @ =)) = ((sK14 @ =))) | ((((sK10 @ =) = (sK11 @ =))) = $true)),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f254])).
% 0.80/0.40 thf(f256,plain,(
% 0.80/0.40 (((sK13 @ =)) = ((sK14 @ =))) | (((sK11 @ =)) = ((sK10 @ =))) | (((sP0 @ =)) = $true)),
% 0.80/0.40 inference(equality_proxy_clausification,[],[f255])).
% 0.80/0.40 thf(f260,plain,(
% 0.80/0.40 (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) = $true) | ($false = $true) | ($false = $true)),
% 0.80/0.40 inference(beta-eta_normalization,[],[f250])).
% 0.80/0.40 thf(f261,plain,(
% 0.80/0.40 (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) = $true) | ($false = $true)),
% 0.80/0.40 inference(duplicate_literal_removal,[],[f260])).
% 0.80/0.40 thf(f262,plain,(
% 0.80/0.40 (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) = $true)),
% 0.80/0.40 inference(trivial_inequality_removal,[],[f261])).
% 0.80/0.40 thf(f268,plain,(
% 0.80/0.40 (((sP0 @ =)) = $true) | (((sK11 @ =)) = ((sK10 @ =))) | spl15_6),
% 0.80/0.40 inference(forward_subsumption_resolution,[],[f256,f96])).
% 0.80/0.40 thf(f269,plain,(
% 0.80/0.40 spl15_10),
% 0.80/0.40 inference(avatar_split_clause,[],[f262,f127])).
% 0.80/0.40 thf(f271,plain,(
% 0.80/0.40 spl15_8 | spl15_15 | spl15_6),
% 0.80/0.40 inference(avatar_split_clause,[],[f268,f94,f207,f102])).
% 0.80/0.40 thf(f280,plain,(
% 0.80/0.40 ($true = ((sK12 @ = @ (sK10 @ =)))) | (~spl15_7 | ~spl15_15)),
% 0.80/0.40 inference(superposition,[],[f100,f209])).
% 0.80/0.40 thf(f286,plain,(
% 0.80/0.40 spl15_12 | ~spl15_7 | ~spl15_15),
% 0.80/0.40 inference(avatar_split_clause,[],[f280,f207,f98,f156])).
% 0.80/0.40 thf(f594,plain,(
% 0.80/0.40 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK9 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true)),
% 0.80/0.40 inference(primitive_instantiation,[],[f16])).
% 0.80/0.40 thf(f599,plain,(
% 0.80/0.40 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))) @ (sK9 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true))))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) != $true)),
% 0.80/0.41 inference(imitation,[],[f16])).
% 0.80/0.41 thf(f601,plain,(
% 0.80/0.41 ($true != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f599])).
% 0.80/0.41 thf(f602,plain,(
% 0.80/0.41 (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) != $true)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f601])).
% 0.80/0.41 thf(f608,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ((((sK9 @ =) = (sK4 @ =))) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f594])).
% 0.80/0.41 thf(f609,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | (((sK4 @ =)) != ((sK9 @ =)))),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f608])).
% 0.80/0.41 thf(f612,plain,(
% 0.80/0.41 ~spl15_1),
% 0.80/0.41 inference(avatar_split_clause,[],[f602,f71])).
% 0.80/0.41 thf(f618,plain,(
% 0.80/0.41 (((sK4 @ =)) != ((sK9 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f609,f104])).
% 0.80/0.41 thf(f620,definition,(
% 0.80/0.41 spl15_34 <=> (((sK4 @ =)) = ((sK9 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_34])],[avatar_definition])).
% 0.80/0.41 thf(f622,plain,(
% 0.80/0.41 (((sK4 @ =)) != ((sK9 @ =))) | spl15_34),
% 0.80/0.41 inference(avatar_component_clause,[],[f620])).
% 0.80/0.41 thf(f623,plain,(
% 0.80/0.41 ~spl15_34 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f618,f102,f620])).
% 0.80/0.41 thf(f669,plain,(
% 0.80/0.41 (((sK9 @ = @ sK18)) != ((sK4 @ = @ sK18))) | spl15_34),
% 0.80/0.41 inference(negative_extensionality,[],[f622])).
% 0.80/0.41 thf(f670,plain,(
% 0.80/0.41 (((sK9 @ = @ sK18)) = $true) | ($true = ((sK4 @ = @ sK18))) | spl15_34),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f669])).
% 0.80/0.41 thf(f671,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ sK18))) | ($false = ((sK4 @ = @ sK18))) | spl15_34),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f669])).
% 0.80/0.41 thf(f673,definition,(
% 0.80/0.41 spl15_35 <=> ($false = ((sK9 @ = @ sK18)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_35])],[avatar_definition])).
% 0.80/0.41 thf(f674,plain,(
% 0.80/0.41 ($false != ((sK9 @ = @ sK18))) | spl15_35),
% 0.80/0.41 inference(avatar_component_clause,[],[f673])).
% 0.80/0.41 thf(f675,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ sK18))) | ~spl15_35),
% 0.80/0.41 inference(avatar_component_clause,[],[f673])).
% 0.80/0.41 thf(f677,definition,(
% 0.80/0.41 spl15_36 <=> ($false = ((sK4 @ = @ sK18)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_36])],[avatar_definition])).
% 0.80/0.41 thf(f678,plain,(
% 0.80/0.41 ($false != ((sK4 @ = @ sK18))) | spl15_36),
% 0.80/0.41 inference(avatar_component_clause,[],[f677])).
% 0.80/0.41 thf(f679,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ sK18))) | ~spl15_36),
% 0.80/0.41 inference(avatar_component_clause,[],[f677])).
% 0.80/0.41 thf(f680,plain,(
% 0.80/0.41 spl15_35 | spl15_36 | spl15_34),
% 0.80/0.41 inference(avatar_split_clause,[],[f671,f620,f677,f673])).
% 0.80/0.41 thf(f682,definition,(
% 0.80/0.41 spl15_37 <=> (((sK9 @ = @ sK18)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_37])],[avatar_definition])).
% 0.80/0.41 thf(f683,plain,(
% 0.80/0.41 (((sK9 @ = @ sK18)) != $true) | spl15_37),
% 0.80/0.41 inference(avatar_component_clause,[],[f682])).
% 0.80/0.41 thf(f684,plain,(
% 0.80/0.41 (((sK9 @ = @ sK18)) = $true) | ~spl15_37),
% 0.80/0.41 inference(avatar_component_clause,[],[f682])).
% 0.80/0.41 thf(f686,definition,(
% 0.80/0.41 spl15_38 <=> ($true = ((sK4 @ = @ sK18)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_38])],[avatar_definition])).
% 0.80/0.41 thf(f687,plain,(
% 0.80/0.41 ($true != ((sK4 @ = @ sK18))) | spl15_38),
% 0.80/0.41 inference(avatar_component_clause,[],[f686])).
% 0.80/0.41 thf(f688,plain,(
% 0.80/0.41 ($true = ((sK4 @ = @ sK18))) | ~spl15_38),
% 0.80/0.41 inference(avatar_component_clause,[],[f686])).
% 0.80/0.41 thf(f689,plain,(
% 0.80/0.41 spl15_37 | spl15_38 | spl15_34),
% 0.80/0.41 inference(avatar_split_clause,[],[f670,f620,f686,f682])).
% 0.80/0.41 thf(f690,definition,(
% 0.80/0.41 ($false != ((sK9 @ = @ sK18))) | (((sK9 @ = @ sK18)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f691,plain,(
% 0.80/0.41 (((sK4 @ = @ $true)) = $false) | ($false = sK18) | ~spl15_36),
% 0.80/0.41 inference(fool_paramodulation,[],[f679])).
% 0.80/0.41 thf(f693,definition,(
% 0.80/0.41 spl15_39 <=> (((sK4 @ = @ $true)) = $false)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_39])],[avatar_definition])).
% 0.80/0.41 thf(f695,plain,(
% 0.80/0.41 (((sK4 @ = @ $true)) = $false) | ~spl15_39),
% 0.80/0.41 inference(avatar_component_clause,[],[f693])).
% 0.80/0.41 thf(f697,definition,(
% 0.80/0.41 spl15_40 <=> ($false = sK18)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_40])],[avatar_definition])).
% 0.80/0.41 thf(f699,plain,(
% 0.80/0.41 ($false = sK18) | ~spl15_40),
% 0.80/0.41 inference(avatar_component_clause,[],[f697])).
% 0.80/0.41 thf(f700,plain,(
% 0.80/0.41 spl15_39 | spl15_40 | ~spl15_36),
% 0.80/0.41 inference(avatar_split_clause,[],[f691,f677,f697,f693])).
% 0.80/0.41 thf(f704,definition,(
% 0.80/0.41 spl15_41 <=> (((sK9 @ = @ $true)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_41])],[avatar_definition])).
% 0.80/0.41 thf(f706,plain,(
% 0.80/0.41 (((sK9 @ = @ $true)) = $true) | ~spl15_41),
% 0.80/0.41 inference(avatar_component_clause,[],[f704])).
% 0.80/0.41 thf(f710,plain,(
% 0.80/0.41 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true) | ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f19])).
% 0.80/0.41 thf(f719,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ($true != (((sK6 @ =) = (sK5 @ =))))),
% 0.80/0.41 inference(beta-eta_normalization,[],[f710])).
% 0.80/0.41 thf(f720,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | (((sK5 @ =)) != ((sK6 @ =)))),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f719])).
% 0.80/0.41 thf(f728,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK6 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f720,f104])).
% 0.80/0.41 thf(f730,definition,(
% 0.80/0.41 spl15_42 <=> (((sK5 @ =)) = ((sK6 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_42])],[avatar_definition])).
% 0.80/0.41 thf(f732,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK6 @ =))) | spl15_42),
% 0.80/0.41 inference(avatar_component_clause,[],[f730])).
% 0.80/0.41 thf(f733,plain,(
% 0.80/0.41 ~spl15_42 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f728,f102,f730])).
% 0.80/0.41 thf(f777,plain,(
% 0.80/0.41 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f20])).
% 0.80/0.41 thf(f783,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ($true != (((sK5 @ =) = (sK4 @ =))))),
% 0.80/0.41 inference(beta-eta_normalization,[],[f777])).
% 0.80/0.41 thf(f784,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK4 @ =))) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f783])).
% 0.80/0.41 thf(f795,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK4 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f784,f104])).
% 0.80/0.41 thf(f797,definition,(
% 0.80/0.41 spl15_43 <=> (((sK5 @ =)) = ((sK4 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_43])],[avatar_definition])).
% 0.80/0.41 thf(f799,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK4 @ =))) | spl15_43),
% 0.80/0.41 inference(avatar_component_clause,[],[f797])).
% 0.80/0.41 thf(f800,plain,(
% 0.80/0.41 ~spl15_43 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f795,f102,f797])).
% 0.80/0.41 thf(f801,plain,(
% 0.80/0.41 (((sK5 @ = @ sK19)) != ((sK6 @ = @ sK19))) | spl15_42),
% 0.80/0.41 inference(negative_extensionality,[],[f732])).
% 0.80/0.41 thf(f802,plain,(
% 0.80/0.41 (((sK6 @ = @ sK19)) = $true) | (((sK5 @ = @ sK19)) = $true) | spl15_42),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f801])).
% 0.80/0.41 thf(f803,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ sK19))) | (((sK5 @ = @ sK19)) = $false) | spl15_42),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f801])).
% 0.80/0.41 thf(f805,definition,(
% 0.80/0.41 spl15_44 <=> (((sK5 @ = @ sK19)) = $false)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_44])],[avatar_definition])).
% 0.80/0.41 thf(f806,plain,(
% 0.80/0.41 (((sK5 @ = @ sK19)) != $false) | spl15_44),
% 0.80/0.41 inference(avatar_component_clause,[],[f805])).
% 0.80/0.41 thf(f807,plain,(
% 0.80/0.41 (((sK5 @ = @ sK19)) = $false) | ~spl15_44),
% 0.80/0.41 inference(avatar_component_clause,[],[f805])).
% 0.80/0.41 thf(f809,definition,(
% 0.80/0.41 spl15_45 <=> ($false = ((sK6 @ = @ sK19)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_45])],[avatar_definition])).
% 0.80/0.41 thf(f810,plain,(
% 0.80/0.41 ($false != ((sK6 @ = @ sK19))) | spl15_45),
% 0.80/0.41 inference(avatar_component_clause,[],[f809])).
% 0.80/0.41 thf(f811,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ sK19))) | ~spl15_45),
% 0.80/0.41 inference(avatar_component_clause,[],[f809])).
% 0.80/0.41 thf(f812,plain,(
% 0.80/0.41 spl15_44 | spl15_45 | spl15_42),
% 0.80/0.41 inference(avatar_split_clause,[],[f803,f730,f809,f805])).
% 0.80/0.41 thf(f814,definition,(
% 0.80/0.41 spl15_46 <=> (((sK6 @ = @ sK19)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_46])],[avatar_definition])).
% 0.80/0.41 thf(f815,plain,(
% 0.80/0.41 (((sK6 @ = @ sK19)) != $true) | spl15_46),
% 0.80/0.41 inference(avatar_component_clause,[],[f814])).
% 0.80/0.41 thf(f816,plain,(
% 0.80/0.41 (((sK6 @ = @ sK19)) = $true) | ~spl15_46),
% 0.80/0.41 inference(avatar_component_clause,[],[f814])).
% 0.80/0.41 thf(f818,definition,(
% 0.80/0.41 spl15_47 <=> (((sK5 @ = @ sK19)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_47])],[avatar_definition])).
% 0.80/0.41 thf(f819,plain,(
% 0.80/0.41 (((sK5 @ = @ sK19)) != $true) | spl15_47),
% 0.80/0.41 inference(avatar_component_clause,[],[f818])).
% 0.80/0.41 thf(f820,plain,(
% 0.80/0.41 (((sK5 @ = @ sK19)) = $true) | ~spl15_47),
% 0.80/0.41 inference(avatar_component_clause,[],[f818])).
% 0.80/0.41 thf(f821,plain,(
% 0.80/0.41 spl15_46 | spl15_47 | spl15_42),
% 0.80/0.41 inference(avatar_split_clause,[],[f802,f730,f818,f814])).
% 0.80/0.41 thf(f822,definition,(
% 0.80/0.41 (((sK5 @ = @ sK19)) != $false) | (((sK5 @ = @ sK19)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f823,plain,(
% 0.80/0.41 (((sK4 @ = @ sK20)) != ((sK5 @ = @ sK20))) | spl15_43),
% 0.80/0.41 inference(negative_extensionality,[],[f799])).
% 0.80/0.41 thf(f824,plain,(
% 0.80/0.41 ($true = ((sK5 @ = @ sK20))) | (((sK4 @ = @ sK20)) = $true) | spl15_43),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f823])).
% 0.80/0.41 thf(f825,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ sK20))) | ($false = ((sK5 @ = @ sK20))) | spl15_43),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f823])).
% 0.80/0.41 thf(f827,definition,(
% 0.80/0.41 spl15_48 <=> ($false = ((sK5 @ = @ sK20)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_48])],[avatar_definition])).
% 0.80/0.41 thf(f828,plain,(
% 0.80/0.41 ($false != ((sK5 @ = @ sK20))) | spl15_48),
% 0.80/0.41 inference(avatar_component_clause,[],[f827])).
% 0.80/0.41 thf(f829,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ sK20))) | ~spl15_48),
% 0.80/0.41 inference(avatar_component_clause,[],[f827])).
% 0.80/0.41 thf(f831,definition,(
% 0.80/0.41 spl15_49 <=> ($false = ((sK4 @ = @ sK20)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_49])],[avatar_definition])).
% 0.80/0.41 thf(f833,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ sK20))) | ~spl15_49),
% 0.80/0.41 inference(avatar_component_clause,[],[f831])).
% 0.80/0.41 thf(f834,plain,(
% 0.80/0.41 spl15_48 | spl15_49 | spl15_43),
% 0.80/0.41 inference(avatar_split_clause,[],[f825,f797,f831,f827])).
% 0.80/0.41 thf(f836,definition,(
% 0.80/0.41 spl15_50 <=> ($true = ((sK5 @ = @ sK20)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_50])],[avatar_definition])).
% 0.80/0.41 thf(f837,plain,(
% 0.80/0.41 ($true != ((sK5 @ = @ sK20))) | spl15_50),
% 0.80/0.41 inference(avatar_component_clause,[],[f836])).
% 0.80/0.41 thf(f838,plain,(
% 0.80/0.41 ($true = ((sK5 @ = @ sK20))) | ~spl15_50),
% 0.80/0.41 inference(avatar_component_clause,[],[f836])).
% 0.80/0.41 thf(f840,definition,(
% 0.80/0.41 spl15_51 <=> (((sK4 @ = @ sK20)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_51])],[avatar_definition])).
% 0.80/0.41 thf(f842,plain,(
% 0.80/0.41 (((sK4 @ = @ sK20)) = $true) | ~spl15_51),
% 0.80/0.41 inference(avatar_component_clause,[],[f840])).
% 0.80/0.41 thf(f843,plain,(
% 0.80/0.41 spl15_50 | spl15_51 | spl15_43),
% 0.80/0.41 inference(avatar_split_clause,[],[f824,f797,f840,f836])).
% 0.80/0.41 thf(f844,definition,(
% 0.80/0.41 ($false != ((sK5 @ = @ sK20))) | ($true != ((sK5 @ = @ sK20))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f847,definition,(
% 0.80/0.41 spl15_52 <=> ($false = sK19)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_52])],[avatar_definition])).
% 0.80/0.41 thf(f849,plain,(
% 0.80/0.41 ($false = sK19) | ~spl15_52),
% 0.80/0.41 inference(avatar_component_clause,[],[f847])).
% 0.80/0.41 thf(f851,definition,(
% 0.80/0.41 spl15_53 <=> ($false = ((sK6 @ = @ $true)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_53])],[avatar_definition])).
% 0.80/0.41 thf(f858,definition,(
% 0.80/0.41 spl15_54 <=> (((sK5 @ = @ $true)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition])).
% 0.80/0.41 thf(f860,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $true) | ~spl15_54),
% 0.80/0.41 inference(avatar_component_clause,[],[f858])).
% 0.80/0.41 thf(f863,definition,(
% 0.80/0.41 ($false != ((sK6 @ = @ sK19))) | (((sK6 @ = @ sK19)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f866,definition,(
% 0.80/0.41 spl15_55 <=> (((sK5 @ = @ $true)) = $false)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_55])],[avatar_definition])).
% 0.80/0.41 thf(f868,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $false) | ~spl15_55),
% 0.80/0.41 inference(avatar_component_clause,[],[f866])).
% 0.80/0.41 thf(f870,plain,(
% 0.80/0.41 ($false = sK19) | ($false != ((sK6 @ = @ $true))) | spl15_45),
% 0.80/0.41 inference(fool_paramodulation,[],[f810])).
% 0.80/0.41 thf(f873,plain,(
% 0.80/0.41 spl15_52 | ~spl15_53 | spl15_45),
% 0.80/0.41 inference(avatar_split_clause,[],[f870,f809,f851,f847])).
% 0.80/0.41 thf(f878,definition,(
% 0.80/0.41 spl15_56 <=> (((sK6 @ = @ $true)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_56])],[avatar_definition])).
% 0.80/0.41 thf(f880,plain,(
% 0.80/0.41 (((sK6 @ = @ $true)) = $true) | ~spl15_56),
% 0.80/0.41 inference(avatar_component_clause,[],[f878])).
% 0.80/0.41 thf(f887,definition,(
% 0.80/0.41 spl15_57 <=> ($false = sK20)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_57])],[avatar_definition])).
% 0.80/0.41 thf(f889,plain,(
% 0.80/0.41 ($false = sK20) | ~spl15_57),
% 0.80/0.41 inference(avatar_component_clause,[],[f887])).
% 0.80/0.41 thf(f893,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ $false))) | (~spl15_49 | ~spl15_57)),
% 0.80/0.41 inference(superposition,[],[f833,f889])).
% 0.80/0.41 thf(f895,definition,(
% 0.80/0.41 spl15_58 <=> ($false = ((sK4 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_58])],[avatar_definition])).
% 0.80/0.41 thf(f898,plain,(
% 0.80/0.41 spl15_58 | ~spl15_49 | ~spl15_57),
% 0.80/0.41 inference(avatar_split_clause,[],[f893,f887,f831,f895])).
% 0.80/0.41 thf(f900,definition,(
% 0.80/0.41 spl15_59 <=> ($true = ((sK5 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_59])],[avatar_definition])).
% 0.80/0.41 thf(f948,plain,(
% 0.80/0.41 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true) | ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f21])).
% 0.80/0.41 thf(f959,plain,(
% 0.80/0.41 ((((sK8 @ =) = (sK4 @ =))) != $true) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f948])).
% 0.80/0.41 thf(f960,plain,(
% 0.80/0.41 (((sK4 @ =)) != ((sK8 @ =))) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f959])).
% 0.80/0.41 thf(f966,plain,(
% 0.80/0.41 (((sK4 @ =)) != ((sK8 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f960,f104])).
% 0.80/0.41 thf(f968,definition,(
% 0.80/0.41 spl15_60 <=> (((sK4 @ =)) = ((sK8 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_60])],[avatar_definition])).
% 0.80/0.41 thf(f970,plain,(
% 0.80/0.41 (((sK4 @ =)) != ((sK8 @ =))) | spl15_60),
% 0.80/0.41 inference(avatar_component_clause,[],[f968])).
% 0.80/0.41 thf(f971,plain,(
% 0.80/0.41 ~spl15_60 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f966,f102,f968])).
% 0.80/0.41 thf(f1015,plain,(
% 0.80/0.41 (((sK4 @ = @ sK21)) != ((sK8 @ = @ sK21))) | spl15_60),
% 0.80/0.41 inference(negative_extensionality,[],[f970])).
% 0.80/0.41 thf(f1016,plain,(
% 0.80/0.41 (((sK4 @ = @ sK21)) = $true) | (((sK8 @ = @ sK21)) = $true) | spl15_60),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1015])).
% 0.80/0.41 thf(f1017,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ sK21))) | ($false = ((sK4 @ = @ sK21))) | spl15_60),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1015])).
% 0.80/0.41 thf(f1019,definition,(
% 0.80/0.41 spl15_61 <=> ($false = ((sK8 @ = @ sK21)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_61])],[avatar_definition])).
% 0.80/0.41 thf(f1020,plain,(
% 0.80/0.41 ($false != ((sK8 @ = @ sK21))) | spl15_61),
% 0.80/0.41 inference(avatar_component_clause,[],[f1019])).
% 0.80/0.41 thf(f1021,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ sK21))) | ~spl15_61),
% 0.80/0.41 inference(avatar_component_clause,[],[f1019])).
% 0.80/0.41 thf(f1023,definition,(
% 0.80/0.41 spl15_62 <=> ($false = ((sK4 @ = @ sK21)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_62])],[avatar_definition])).
% 0.80/0.41 thf(f1025,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ sK21))) | ~spl15_62),
% 0.80/0.41 inference(avatar_component_clause,[],[f1023])).
% 0.80/0.41 thf(f1026,plain,(
% 0.80/0.41 spl15_61 | spl15_62 | spl15_60),
% 0.80/0.41 inference(avatar_split_clause,[],[f1017,f968,f1023,f1019])).
% 0.80/0.41 thf(f1028,definition,(
% 0.80/0.41 spl15_63 <=> (((sK8 @ = @ sK21)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_63])],[avatar_definition])).
% 0.80/0.41 thf(f1029,plain,(
% 0.80/0.41 (((sK8 @ = @ sK21)) != $true) | spl15_63),
% 0.80/0.41 inference(avatar_component_clause,[],[f1028])).
% 0.80/0.41 thf(f1030,plain,(
% 0.80/0.41 (((sK8 @ = @ sK21)) = $true) | ~spl15_63),
% 0.80/0.41 inference(avatar_component_clause,[],[f1028])).
% 0.80/0.41 thf(f1032,definition,(
% 0.80/0.41 spl15_64 <=> (((sK4 @ = @ sK21)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_64])],[avatar_definition])).
% 0.80/0.41 thf(f1034,plain,(
% 0.80/0.41 (((sK4 @ = @ sK21)) = $true) | ~spl15_64),
% 0.80/0.41 inference(avatar_component_clause,[],[f1032])).
% 0.80/0.41 thf(f1035,plain,(
% 0.80/0.41 spl15_63 | spl15_64 | spl15_60),
% 0.80/0.41 inference(avatar_split_clause,[],[f1016,f968,f1032,f1028])).
% 0.80/0.41 thf(f1038,definition,(
% 0.80/0.41 spl15_65 <=> ($false = sK21)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_65])],[avatar_definition])).
% 0.80/0.41 thf(f1040,plain,(
% 0.80/0.41 ($false = sK21) | ~spl15_65),
% 0.80/0.41 inference(avatar_component_clause,[],[f1038])).
% 0.80/0.41 thf(f1042,definition,(
% 0.80/0.41 spl15_66 <=> ($false = ((sK8 @ = @ $true)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_66])],[avatar_definition])).
% 0.80/0.41 thf(f1046,plain,(
% 0.80/0.41 ($false = sK21) | (((sK4 @ = @ $true)) = $true) | ~spl15_64),
% 0.80/0.41 inference(fool_paramodulation,[],[f1034])).
% 0.80/0.41 thf(f1048,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK21) | (~spl15_39 | ~spl15_64)),
% 0.80/0.41 inference(forward_demodulation,[],[f1046,f695])).
% 0.80/0.41 thf(f1049,plain,(
% 0.80/0.41 ($false = sK21) | (~spl15_39 | ~spl15_64)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1048])).
% 0.80/0.41 thf(f1052,plain,(
% 0.80/0.41 spl15_65 | ~spl15_39 | ~spl15_64),
% 0.80/0.41 inference(avatar_split_clause,[],[f1049,f1032,f693,f1038])).
% 0.80/0.41 thf(f1053,definition,(
% 0.80/0.41 ($false != ((sK8 @ = @ sK21))) | (((sK8 @ = @ sK21)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1058,definition,(
% 0.80/0.41 spl15_67 <=> ($true = ((sK8 @ = @ $true)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_67])],[avatar_definition])).
% 0.80/0.41 thf(f1060,plain,(
% 0.80/0.41 ($true = ((sK8 @ = @ $true))) | ~spl15_67),
% 0.80/0.41 inference(avatar_component_clause,[],[f1058])).
% 0.80/0.41 thf(f1067,definition,(
% 0.80/0.41 spl15_68 <=> (((sK8 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_68])],[avatar_definition])).
% 0.80/0.41 thf(f1071,definition,(
% 0.80/0.41 ($false != ((sK8 @ = @ $true))) | ($true != ((sK8 @ = @ $true))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1075,plain,(
% 0.80/0.41 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK9 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true)),
% 0.80/0.41 inference(primitive_instantiation,[],[f26])).
% 0.80/0.41 thf(f1082,plain,(
% 0.80/0.41 ((((sK9 @ =) = (sK6 @ =))) != $true) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f1075])).
% 0.80/0.41 thf(f1083,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | (((sK6 @ =)) != ((sK9 @ =)))),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f1082])).
% 0.80/0.41 thf(f1093,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK9 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f1083,f104])).
% 0.80/0.41 thf(f1095,definition,(
% 0.80/0.41 spl15_69 <=> (((sK6 @ =)) = ((sK9 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_69])],[avatar_definition])).
% 0.80/0.41 thf(f1097,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK9 @ =))) | spl15_69),
% 0.80/0.41 inference(avatar_component_clause,[],[f1095])).
% 0.80/0.41 thf(f1098,plain,(
% 0.80/0.41 ~spl15_69 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f1093,f102,f1095])).
% 0.80/0.41 thf(f1099,plain,(
% 0.80/0.41 (((sK6 @ = @ sK22)) != ((sK9 @ = @ sK22))) | spl15_69),
% 0.80/0.41 inference(negative_extensionality,[],[f1097])).
% 0.80/0.41 thf(f1100,plain,(
% 0.80/0.41 (((sK9 @ = @ sK22)) = $true) | (((sK6 @ = @ sK22)) = $true) | spl15_69),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1099])).
% 0.80/0.41 thf(f1101,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ sK22))) | ($false = ((sK9 @ = @ sK22))) | spl15_69),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1099])).
% 0.80/0.41 thf(f1103,definition,(
% 0.80/0.41 spl15_70 <=> ($false = ((sK6 @ = @ sK22)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_70])],[avatar_definition])).
% 0.80/0.41 thf(f1104,plain,(
% 0.80/0.41 ($false != ((sK6 @ = @ sK22))) | spl15_70),
% 0.80/0.41 inference(avatar_component_clause,[],[f1103])).
% 0.80/0.41 thf(f1105,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ sK22))) | ~spl15_70),
% 0.80/0.41 inference(avatar_component_clause,[],[f1103])).
% 0.80/0.41 thf(f1107,definition,(
% 0.80/0.41 spl15_71 <=> ($false = ((sK9 @ = @ sK22)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_71])],[avatar_definition])).
% 0.80/0.41 thf(f1109,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ sK22))) | ~spl15_71),
% 0.80/0.41 inference(avatar_component_clause,[],[f1107])).
% 0.80/0.41 thf(f1110,plain,(
% 0.80/0.41 spl15_70 | spl15_71 | spl15_69),
% 0.80/0.41 inference(avatar_split_clause,[],[f1101,f1095,f1107,f1103])).
% 0.80/0.41 thf(f1112,definition,(
% 0.80/0.41 spl15_72 <=> (((sK9 @ = @ sK22)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_72])],[avatar_definition])).
% 0.80/0.41 thf(f1114,plain,(
% 0.80/0.41 (((sK9 @ = @ sK22)) = $true) | ~spl15_72),
% 0.80/0.41 inference(avatar_component_clause,[],[f1112])).
% 0.80/0.41 thf(f1116,definition,(
% 0.80/0.41 spl15_73 <=> (((sK6 @ = @ sK22)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_73])],[avatar_definition])).
% 0.80/0.41 thf(f1117,plain,(
% 0.80/0.41 (((sK6 @ = @ sK22)) != $true) | spl15_73),
% 0.80/0.41 inference(avatar_component_clause,[],[f1116])).
% 0.80/0.41 thf(f1118,plain,(
% 0.80/0.41 (((sK6 @ = @ sK22)) = $true) | ~spl15_73),
% 0.80/0.41 inference(avatar_component_clause,[],[f1116])).
% 0.80/0.41 thf(f1119,plain,(
% 0.80/0.41 spl15_72 | spl15_73 | spl15_69),
% 0.80/0.41 inference(avatar_split_clause,[],[f1100,f1095,f1116,f1112])).
% 0.80/0.41 thf(f1120,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $true))) | ($false = sK22) | ~spl15_70),
% 0.80/0.41 inference(fool_paramodulation,[],[f1105])).
% 0.80/0.41 thf(f1121,plain,(
% 0.80/0.41 ($false = sK22) | ($false = $true) | (~spl15_56 | ~spl15_70)),
% 0.80/0.41 inference(forward_demodulation,[],[f1120,f880])).
% 0.80/0.41 thf(f1122,plain,(
% 0.80/0.41 ($false = sK22) | (~spl15_56 | ~spl15_70)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1121])).
% 0.80/0.41 thf(f1124,definition,(
% 0.80/0.41 spl15_74 <=> ($false = sK22)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_74])],[avatar_definition])).
% 0.80/0.41 thf(f1126,plain,(
% 0.80/0.41 ($false = sK22) | ~spl15_74),
% 0.80/0.41 inference(avatar_component_clause,[],[f1124])).
% 0.80/0.41 thf(f1127,plain,(
% 0.80/0.41 spl15_74 | ~spl15_56 | ~spl15_70),
% 0.80/0.41 inference(avatar_split_clause,[],[f1122,f1103,f878,f1124])).
% 0.80/0.41 thf(f1130,plain,(
% 0.80/0.41 (((sK9 @ = @ $false)) = $true) | (~spl15_72 | ~spl15_74)),
% 0.80/0.41 inference(superposition,[],[f1114,f1126])).
% 0.80/0.41 thf(f1131,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $false))) | (~spl15_70 | ~spl15_74)),
% 0.80/0.41 inference(superposition,[],[f1105,f1126])).
% 0.80/0.41 thf(f1133,definition,(
% 0.80/0.41 spl15_75 <=> ($false = ((sK6 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_75])],[avatar_definition])).
% 0.80/0.41 thf(f1136,plain,(
% 0.80/0.41 spl15_75 | ~spl15_70 | ~spl15_74),
% 0.80/0.41 inference(avatar_split_clause,[],[f1131,f1124,f1103,f1133])).
% 0.80/0.41 thf(f1138,definition,(
% 0.80/0.41 spl15_76 <=> (((sK9 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_76])],[avatar_definition])).
% 0.80/0.41 thf(f1141,plain,(
% 0.80/0.41 spl15_76 | ~spl15_72 | ~spl15_74),
% 0.80/0.41 inference(avatar_split_clause,[],[f1130,f1124,f1112,f1138])).
% 0.80/0.41 thf(f1142,plain,(
% 0.80/0.41 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f27])).
% 0.80/0.41 thf(f1158,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ($true != (((sK5 @ =) = (sK8 @ =))))),
% 0.80/0.41 inference(beta-eta_normalization,[],[f1142])).
% 0.80/0.41 thf(f1159,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | (((sK5 @ =)) != ((sK8 @ =)))),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f1158])).
% 0.80/0.41 thf(f1160,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK8 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f1159,f104])).
% 0.80/0.41 thf(f1162,definition,(
% 0.80/0.41 spl15_77 <=> (((sK5 @ =)) = ((sK8 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_77])],[avatar_definition])).
% 0.80/0.41 thf(f1164,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK8 @ =))) | spl15_77),
% 0.80/0.41 inference(avatar_component_clause,[],[f1162])).
% 0.80/0.41 thf(f1165,plain,(
% 0.80/0.41 ~spl15_77 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f1160,f102,f1162])).
% 0.80/0.41 thf(f1250,plain,(
% 0.80/0.41 (((sK5 @ = @ sK23)) != ((sK8 @ = @ sK23))) | spl15_77),
% 0.80/0.41 inference(negative_extensionality,[],[f1164])).
% 0.80/0.41 thf(f1251,plain,(
% 0.80/0.41 (((sK5 @ = @ sK23)) = $true) | ($true = ((sK8 @ = @ sK23))) | spl15_77),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1250])).
% 0.80/0.41 thf(f1252,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ sK23))) | ($false = ((sK8 @ = @ sK23))) | spl15_77),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1250])).
% 0.80/0.41 thf(f1254,definition,(
% 0.80/0.41 spl15_78 <=> ($false = ((sK8 @ = @ sK23)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_78])],[avatar_definition])).
% 0.80/0.41 thf(f1255,plain,(
% 0.80/0.41 ($false != ((sK8 @ = @ sK23))) | spl15_78),
% 0.80/0.41 inference(avatar_component_clause,[],[f1254])).
% 0.80/0.41 thf(f1256,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ sK23))) | ~spl15_78),
% 0.80/0.41 inference(avatar_component_clause,[],[f1254])).
% 0.80/0.41 thf(f1258,definition,(
% 0.80/0.41 spl15_79 <=> ($false = ((sK5 @ = @ sK23)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_79])],[avatar_definition])).
% 0.80/0.41 thf(f1259,plain,(
% 0.80/0.41 ($false != ((sK5 @ = @ sK23))) | spl15_79),
% 0.80/0.41 inference(avatar_component_clause,[],[f1258])).
% 0.80/0.41 thf(f1260,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ sK23))) | ~spl15_79),
% 0.80/0.41 inference(avatar_component_clause,[],[f1258])).
% 0.80/0.41 thf(f1261,plain,(
% 0.80/0.41 spl15_78 | spl15_79 | spl15_77),
% 0.80/0.41 inference(avatar_split_clause,[],[f1252,f1162,f1258,f1254])).
% 0.80/0.41 thf(f1263,definition,(
% 0.80/0.41 spl15_80 <=> (((sK5 @ = @ sK23)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_80])],[avatar_definition])).
% 0.80/0.41 thf(f1264,plain,(
% 0.80/0.41 (((sK5 @ = @ sK23)) != $true) | spl15_80),
% 0.80/0.41 inference(avatar_component_clause,[],[f1263])).
% 0.80/0.41 thf(f1265,plain,(
% 0.80/0.41 (((sK5 @ = @ sK23)) = $true) | ~spl15_80),
% 0.80/0.41 inference(avatar_component_clause,[],[f1263])).
% 0.80/0.41 thf(f1267,definition,(
% 0.80/0.41 spl15_81 <=> ($true = ((sK8 @ = @ sK23)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_81])],[avatar_definition])).
% 0.80/0.41 thf(f1268,plain,(
% 0.80/0.41 ($true != ((sK8 @ = @ sK23))) | spl15_81),
% 0.80/0.41 inference(avatar_component_clause,[],[f1267])).
% 0.80/0.41 thf(f1269,plain,(
% 0.80/0.41 ($true = ((sK8 @ = @ sK23))) | ~spl15_81),
% 0.80/0.41 inference(avatar_component_clause,[],[f1267])).
% 0.80/0.41 thf(f1270,plain,(
% 0.80/0.41 spl15_80 | spl15_81 | spl15_77),
% 0.80/0.41 inference(avatar_split_clause,[],[f1251,f1162,f1267,f1263])).
% 0.80/0.41 thf(f1271,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $true))) | ($false = sK23) | ~spl15_78),
% 0.80/0.41 inference(fool_paramodulation,[],[f1256])).
% 0.80/0.41 thf(f1272,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK23) | (~spl15_67 | ~spl15_78)),
% 0.80/0.41 inference(forward_demodulation,[],[f1271,f1060])).
% 0.80/0.41 thf(f1273,plain,(
% 0.80/0.41 ($false = sK23) | (~spl15_67 | ~spl15_78)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1272])).
% 0.80/0.41 thf(f1275,definition,(
% 0.80/0.41 spl15_82 <=> ($false = sK23)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition])).
% 0.80/0.41 thf(f1276,plain,(
% 0.80/0.41 ($false != sK23) | spl15_82),
% 0.80/0.41 inference(avatar_component_clause,[],[f1275])).
% 0.80/0.41 thf(f1277,plain,(
% 0.80/0.41 ($false = sK23) | ~spl15_82),
% 0.80/0.41 inference(avatar_component_clause,[],[f1275])).
% 0.80/0.41 thf(f1278,plain,(
% 0.80/0.41 spl15_82 | ~spl15_67 | ~spl15_78),
% 0.80/0.41 inference(avatar_split_clause,[],[f1273,f1254,f1058,f1275])).
% 0.80/0.41 thf(f1279,plain,(
% 0.80/0.41 ($false = sK23) | (((sK5 @ = @ $true)) = $true) | ~spl15_80),
% 0.80/0.41 inference(fool_paramodulation,[],[f1265])).
% 0.80/0.41 thf(f1281,plain,(
% 0.80/0.41 ($false = sK23) | ($false = $true) | (~spl15_55 | ~spl15_80)),
% 0.80/0.41 inference(forward_demodulation,[],[f1279,f868])).
% 0.80/0.41 thf(f1282,plain,(
% 0.80/0.41 ($false = sK23) | (~spl15_55 | ~spl15_80)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1281])).
% 0.80/0.41 thf(f1285,plain,(
% 0.80/0.41 spl15_82 | ~spl15_55 | ~spl15_80),
% 0.80/0.41 inference(avatar_split_clause,[],[f1282,f1263,f866,f1275])).
% 0.80/0.41 thf(f1287,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $false))) | (~spl15_78 | ~spl15_82)),
% 0.80/0.41 inference(superposition,[],[f1256,f1277])).
% 0.80/0.41 thf(f1289,definition,(
% 0.80/0.41 spl15_83 <=> ($false = ((sK8 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_83])],[avatar_definition])).
% 0.80/0.41 thf(f1292,plain,(
% 0.80/0.41 spl15_83 | ~spl15_78 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1287,f1275,f1254,f1289])).
% 0.80/0.41 thf(f1293,definition,(
% 0.80/0.41 ($false != ((sK5 @ = @ sK23))) | (((sK5 @ = @ sK23)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1297,definition,(
% 0.80/0.41 ($false != ((sK4 @ = @ sK20))) | (((sK4 @ = @ sK20)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1298,definition,(
% 0.80/0.41 ($false != sK20) | ($false != ((sK4 @ = @ $false))) | (((sK4 @ = @ sK20)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1300,definition,(
% 0.80/0.41 ($false != sK20) | ($false != ((sK5 @ = @ sK20))) | ($true != ((sK5 @ = @ $false))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1303,plain,(
% 0.80/0.41 ($true != ((sK5 @ = @ $false))) | (spl15_80 | ~spl15_82)),
% 0.80/0.41 inference(forward_demodulation,[],[f1264,f1277])).
% 0.80/0.41 thf(f1304,plain,(
% 0.80/0.41 ($true = ((sK4 @ = @ $false))) | (~spl15_51 | ~spl15_57)),
% 0.80/0.41 inference(forward_demodulation,[],[f842,f889])).
% 0.80/0.41 thf(f1306,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ $false))) | (~spl15_79 | ~spl15_82)),
% 0.80/0.41 inference(forward_demodulation,[],[f1260,f1277])).
% 0.80/0.41 thf(f1307,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ $false))) | (~spl15_48 | ~spl15_57)),
% 0.80/0.41 inference(forward_demodulation,[],[f829,f889])).
% 0.80/0.41 thf(f1308,plain,(
% 0.80/0.41 ($true != ((sK5 @ = @ $false))) | (spl15_50 | ~spl15_57)),
% 0.80/0.41 inference(forward_demodulation,[],[f837,f889])).
% 0.80/0.41 thf(f1309,plain,(
% 0.80/0.41 ($false != ((sK8 @ = @ $false))) | (spl15_78 | ~spl15_82)),
% 0.80/0.41 inference(forward_demodulation,[],[f1255,f1277])).
% 0.80/0.41 thf(f1311,plain,(
% 0.80/0.41 ~spl15_59 | spl15_80 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1303,f1275,f1263,f900])).
% 0.80/0.41 thf(f1313,definition,(
% 0.80/0.41 spl15_84 <=> ($true = ((sK4 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_84])],[avatar_definition])).
% 0.80/0.41 thf(f1316,plain,(
% 0.80/0.41 spl15_84 | ~spl15_51 | ~spl15_57),
% 0.80/0.41 inference(avatar_split_clause,[],[f1304,f887,f840,f1313])).
% 0.80/0.41 thf(f1319,definition,(
% 0.80/0.41 spl15_85 <=> ($false = ((sK5 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_85])],[avatar_definition])).
% 0.80/0.41 thf(f1322,plain,(
% 0.80/0.41 spl15_85 | ~spl15_79 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1306,f1275,f1258,f1319])).
% 0.80/0.41 thf(f1323,plain,(
% 0.80/0.41 spl15_85 | ~spl15_48 | ~spl15_57),
% 0.80/0.41 inference(avatar_split_clause,[],[f1307,f887,f827,f1319])).
% 0.80/0.41 thf(f1324,plain,(
% 0.80/0.41 ~spl15_59 | spl15_50 | ~spl15_57),
% 0.80/0.41 inference(avatar_split_clause,[],[f1308,f887,f836,f900])).
% 0.80/0.41 thf(f1325,plain,(
% 0.80/0.41 ~spl15_83 | spl15_78 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1309,f1275,f1254,f1289])).
% 0.80/0.41 thf(f1329,plain,(
% 0.80/0.41 ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) | ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK4 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true)),
% 0.80/0.41 inference(primitive_instantiation,[],[f29])).
% 0.80/0.41 thf(f1338,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ((((sK6 @ =) = (sK4 @ =))) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f1329])).
% 0.80/0.41 thf(f1339,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK4 @ =))) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f1338])).
% 0.80/0.41 thf(f1347,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK4 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f1339,f104])).
% 0.80/0.41 thf(f1349,definition,(
% 0.80/0.41 spl15_86 <=> (((sK6 @ =)) = ((sK4 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_86])],[avatar_definition])).
% 0.80/0.41 thf(f1351,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK4 @ =))) | spl15_86),
% 0.80/0.41 inference(avatar_component_clause,[],[f1349])).
% 0.80/0.41 thf(f1352,plain,(
% 0.80/0.41 ~spl15_86 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f1347,f102,f1349])).
% 0.80/0.41 thf(f1396,plain,(
% 0.80/0.41 (((sK6 @ = @ sK24)) != ((sK4 @ = @ sK24))) | spl15_86),
% 0.80/0.41 inference(negative_extensionality,[],[f1351])).
% 0.80/0.41 thf(f1397,plain,(
% 0.80/0.41 (((sK6 @ = @ sK24)) = $true) | (((sK4 @ = @ sK24)) = $true) | spl15_86),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1396])).
% 0.80/0.41 thf(f1398,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ sK24))) | (((sK6 @ = @ sK24)) = $false) | spl15_86),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1396])).
% 0.80/0.41 thf(f1400,definition,(
% 0.80/0.41 spl15_87 <=> (((sK6 @ = @ sK24)) = $false)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_87])],[avatar_definition])).
% 0.80/0.41 thf(f1401,plain,(
% 0.80/0.41 (((sK6 @ = @ sK24)) != $false) | spl15_87),
% 0.80/0.41 inference(avatar_component_clause,[],[f1400])).
% 0.80/0.41 thf(f1402,plain,(
% 0.80/0.41 (((sK6 @ = @ sK24)) = $false) | ~spl15_87),
% 0.80/0.41 inference(avatar_component_clause,[],[f1400])).
% 0.80/0.41 thf(f1404,definition,(
% 0.80/0.41 spl15_88 <=> ($false = ((sK4 @ = @ sK24)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_88])],[avatar_definition])).
% 0.80/0.41 thf(f1406,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ sK24))) | ~spl15_88),
% 0.80/0.41 inference(avatar_component_clause,[],[f1404])).
% 0.80/0.41 thf(f1407,plain,(
% 0.80/0.41 spl15_87 | spl15_88 | spl15_86),
% 0.80/0.41 inference(avatar_split_clause,[],[f1398,f1349,f1404,f1400])).
% 0.80/0.41 thf(f1409,definition,(
% 0.80/0.41 spl15_89 <=> (((sK6 @ = @ sK24)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_89])],[avatar_definition])).
% 0.80/0.41 thf(f1411,plain,(
% 0.80/0.41 (((sK6 @ = @ sK24)) = $true) | ~spl15_89),
% 0.80/0.41 inference(avatar_component_clause,[],[f1409])).
% 0.80/0.41 thf(f1413,definition,(
% 0.80/0.41 spl15_90 <=> (((sK4 @ = @ sK24)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_90])],[avatar_definition])).
% 0.80/0.41 thf(f1414,plain,(
% 0.80/0.41 (((sK4 @ = @ sK24)) != $true) | spl15_90),
% 0.80/0.41 inference(avatar_component_clause,[],[f1413])).
% 0.80/0.41 thf(f1415,plain,(
% 0.80/0.41 (((sK4 @ = @ sK24)) = $true) | ~spl15_90),
% 0.80/0.41 inference(avatar_component_clause,[],[f1413])).
% 0.80/0.41 thf(f1416,plain,(
% 0.80/0.41 spl15_89 | spl15_90 | spl15_86),
% 0.80/0.41 inference(avatar_split_clause,[],[f1397,f1349,f1413,f1409])).
% 0.80/0.41 thf(f1417,plain,(
% 0.80/0.41 ($false = sK24) | ($false = ((sK6 @ = @ $true))) | ~spl15_87),
% 0.80/0.41 inference(fool_paramodulation,[],[f1402])).
% 0.80/0.41 thf(f1418,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK24) | (~spl15_56 | ~spl15_87)),
% 0.80/0.41 inference(forward_demodulation,[],[f1417,f880])).
% 0.80/0.41 thf(f1419,plain,(
% 0.80/0.41 ($false = sK24) | (~spl15_56 | ~spl15_87)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1418])).
% 0.80/0.41 thf(f1421,definition,(
% 0.80/0.41 spl15_91 <=> ($false = sK24)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_91])],[avatar_definition])).
% 0.80/0.41 thf(f1423,plain,(
% 0.80/0.41 ($false = sK24) | ~spl15_91),
% 0.80/0.41 inference(avatar_component_clause,[],[f1421])).
% 0.80/0.41 thf(f1424,plain,(
% 0.80/0.41 spl15_91 | ~spl15_56 | ~spl15_87),
% 0.80/0.41 inference(avatar_split_clause,[],[f1419,f1400,f878,f1421])).
% 0.80/0.41 thf(f1425,plain,(
% 0.80/0.41 (((sK4 @ = @ $true)) = $true) | ($false = sK24) | ~spl15_90),
% 0.80/0.41 inference(fool_paramodulation,[],[f1415])).
% 0.80/0.41 thf(f1427,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK24) | (~spl15_39 | ~spl15_90)),
% 0.80/0.41 inference(forward_demodulation,[],[f1425,f695])).
% 0.80/0.41 thf(f1428,plain,(
% 0.80/0.41 ($false = sK24) | (~spl15_39 | ~spl15_90)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1427])).
% 0.80/0.41 thf(f1431,plain,(
% 0.80/0.41 spl15_91 | ~spl15_39 | ~spl15_90),
% 0.80/0.41 inference(avatar_split_clause,[],[f1428,f1413,f693,f1421])).
% 0.80/0.41 thf(f1434,plain,(
% 0.80/0.41 ((((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK9 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))))) != $true) | ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f36])).
% 0.80/0.41 thf(f1445,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ($true != (((sK9 @ =) = (sK8 @ =))))),
% 0.80/0.41 inference(beta-eta_normalization,[],[f1434])).
% 0.80/0.41 thf(f1446,plain,(
% 0.80/0.41 (((sK8 @ =)) != ((sK9 @ =))) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f1445])).
% 0.80/0.41 thf(f1452,plain,(
% 0.80/0.41 (((sK8 @ =)) != ((sK9 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f1446,f104])).
% 0.80/0.41 thf(f1454,definition,(
% 0.80/0.41 spl15_92 <=> (((sK8 @ =)) = ((sK9 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_92])],[avatar_definition])).
% 0.80/0.41 thf(f1456,plain,(
% 0.80/0.41 (((sK8 @ =)) != ((sK9 @ =))) | spl15_92),
% 0.80/0.41 inference(avatar_component_clause,[],[f1454])).
% 0.80/0.41 thf(f1457,plain,(
% 0.80/0.41 ~spl15_92 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f1452,f102,f1454])).
% 0.80/0.41 thf(f1483,plain,(
% 0.80/0.41 (((sK9 @ = @ sK25)) != ((sK8 @ = @ sK25))) | spl15_92),
% 0.80/0.41 inference(negative_extensionality,[],[f1456])).
% 0.80/0.41 thf(f1484,plain,(
% 0.80/0.41 (((sK9 @ = @ sK25)) = $true) | (((sK8 @ = @ sK25)) = $true) | spl15_92),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1483])).
% 0.80/0.41 thf(f1485,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ sK25))) | ($false = ((sK9 @ = @ sK25))) | spl15_92),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1483])).
% 0.80/0.41 thf(f1487,definition,(
% 0.80/0.41 spl15_93 <=> ($false = ((sK9 @ = @ sK25)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_93])],[avatar_definition])).
% 0.80/0.41 thf(f1489,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ sK25))) | ~spl15_93),
% 0.80/0.41 inference(avatar_component_clause,[],[f1487])).
% 0.80/0.41 thf(f1491,definition,(
% 0.80/0.41 spl15_94 <=> ($false = ((sK8 @ = @ sK25)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_94])],[avatar_definition])).
% 0.80/0.41 thf(f1493,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ sK25))) | ~spl15_94),
% 0.80/0.41 inference(avatar_component_clause,[],[f1491])).
% 0.80/0.41 thf(f1494,plain,(
% 0.80/0.41 spl15_93 | spl15_94 | spl15_92),
% 0.80/0.41 inference(avatar_split_clause,[],[f1485,f1454,f1491,f1487])).
% 0.80/0.41 thf(f1496,definition,(
% 0.80/0.41 spl15_95 <=> (((sK8 @ = @ sK25)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_95])],[avatar_definition])).
% 0.80/0.41 thf(f1498,plain,(
% 0.80/0.41 (((sK8 @ = @ sK25)) = $true) | ~spl15_95),
% 0.80/0.41 inference(avatar_component_clause,[],[f1496])).
% 0.80/0.41 thf(f1500,definition,(
% 0.80/0.41 spl15_96 <=> (((sK9 @ = @ sK25)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_96])],[avatar_definition])).
% 0.80/0.41 thf(f1502,plain,(
% 0.80/0.41 (((sK9 @ = @ sK25)) = $true) | ~spl15_96),
% 0.80/0.41 inference(avatar_component_clause,[],[f1500])).
% 0.80/0.41 thf(f1503,plain,(
% 0.80/0.41 spl15_95 | spl15_96 | spl15_92),
% 0.80/0.41 inference(avatar_split_clause,[],[f1484,f1454,f1500,f1496])).
% 0.80/0.41 thf(f1504,definition,(
% 0.80/0.41 ($false != ((sK9 @ = @ sK25))) | (((sK9 @ = @ sK25)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1505,plain,(
% 0.80/0.41 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK6 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f38])).
% 0.80/0.41 thf(f1519,plain,(
% 0.80/0.41 ((((sK6 @ =) = (sK8 @ =))) != $true) | (((sP0 @ =)) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f1505])).
% 0.80/0.41 thf(f1520,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | (((sK6 @ =)) != ((sK8 @ =)))),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f1519])).
% 0.80/0.41 thf(f1523,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK8 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f1520,f104])).
% 0.80/0.41 thf(f1525,definition,(
% 0.80/0.41 spl15_97 <=> (((sK6 @ =)) = ((sK8 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_97])],[avatar_definition])).
% 0.80/0.41 thf(f1527,plain,(
% 0.80/0.41 (((sK6 @ =)) != ((sK8 @ =))) | spl15_97),
% 0.80/0.41 inference(avatar_component_clause,[],[f1525])).
% 0.80/0.41 thf(f1528,plain,(
% 0.80/0.41 ~spl15_97 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f1523,f102,f1525])).
% 0.80/0.41 thf(f1529,plain,(
% 0.80/0.41 (((sK6 @ = @ sK26)) != ((sK8 @ = @ sK26))) | spl15_97),
% 0.80/0.41 inference(negative_extensionality,[],[f1527])).
% 0.80/0.41 thf(f1530,plain,(
% 0.80/0.41 ($true = ((sK8 @ = @ sK26))) | (((sK6 @ = @ sK26)) = $true) | spl15_97),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1529])).
% 0.80/0.41 thf(f1531,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ sK26))) | ($false = ((sK8 @ = @ sK26))) | spl15_97),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1529])).
% 0.80/0.41 thf(f1533,definition,(
% 0.80/0.41 spl15_98 <=> ($false = ((sK6 @ = @ sK26)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_98])],[avatar_definition])).
% 0.80/0.41 thf(f1535,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ sK26))) | ~spl15_98),
% 0.80/0.41 inference(avatar_component_clause,[],[f1533])).
% 0.80/0.41 thf(f1537,definition,(
% 0.80/0.41 spl15_99 <=> ($false = ((sK8 @ = @ sK26)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_99])],[avatar_definition])).
% 0.80/0.41 thf(f1539,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ sK26))) | ~spl15_99),
% 0.80/0.41 inference(avatar_component_clause,[],[f1537])).
% 0.80/0.41 thf(f1540,plain,(
% 0.80/0.41 spl15_98 | spl15_99 | spl15_97),
% 0.80/0.41 inference(avatar_split_clause,[],[f1531,f1525,f1537,f1533])).
% 0.80/0.41 thf(f1542,definition,(
% 0.80/0.41 spl15_100 <=> (((sK6 @ = @ sK26)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_100])],[avatar_definition])).
% 0.80/0.41 thf(f1544,plain,(
% 0.80/0.41 (((sK6 @ = @ sK26)) = $true) | ~spl15_100),
% 0.80/0.41 inference(avatar_component_clause,[],[f1542])).
% 0.80/0.41 thf(f1546,definition,(
% 0.80/0.41 spl15_101 <=> ($true = ((sK8 @ = @ sK26)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_101])],[avatar_definition])).
% 0.80/0.41 thf(f1548,plain,(
% 0.80/0.41 ($true = ((sK8 @ = @ sK26))) | ~spl15_101),
% 0.80/0.41 inference(avatar_component_clause,[],[f1546])).
% 0.80/0.41 thf(f1549,plain,(
% 0.80/0.41 spl15_100 | spl15_101 | spl15_97),
% 0.80/0.41 inference(avatar_split_clause,[],[f1530,f1525,f1546,f1542])).
% 0.80/0.41 thf(f1555,definition,(
% 0.80/0.41 spl15_102 <=> ($false = sK25)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_102])],[avatar_definition])).
% 0.80/0.41 thf(f1561,definition,(
% 0.80/0.41 ($false != ((sK8 @ = @ sK25))) | (((sK8 @ = @ sK25)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1562,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $true))) | ($false = sK25) | ~spl15_94),
% 0.80/0.41 inference(fool_paramodulation,[],[f1493])).
% 0.80/0.41 thf(f1563,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK25) | (~spl15_67 | ~spl15_94)),
% 0.80/0.41 inference(forward_demodulation,[],[f1562,f1060])).
% 0.80/0.41 thf(f1564,plain,(
% 0.80/0.41 ($false = sK25) | (~spl15_67 | ~spl15_94)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1563])).
% 0.80/0.41 thf(f1565,plain,(
% 0.80/0.41 spl15_102 | ~spl15_67 | ~spl15_94),
% 0.80/0.41 inference(avatar_split_clause,[],[f1564,f1491,f1058,f1555])).
% 0.80/0.41 thf(f1566,definition,(
% 0.80/0.41 ($false != sK20) | ($false != sK21) | ($false != ((sK4 @ = @ sK21))) | (((sK4 @ = @ sK20)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1569,definition,(
% 0.80/0.41 ($false != sK20) | ($false != sK21) | (((sK4 @ = @ sK20)) != $true) | (((sK4 @ = @ sK21)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1570,definition,(
% 0.80/0.41 ($false != ((sK4 @ = @ $false))) | ($true != ((sK4 @ = @ $false))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1571,definition,(
% 0.80/0.41 ($false != sK24) | ($false != ((sK4 @ = @ $false))) | (((sK4 @ = @ sK24)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1572,definition,(
% 0.80/0.41 ($false != sK24) | (((sK4 @ = @ sK24)) != $true) | ($true = ((sK4 @ = @ $false)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1573,definition,(
% 0.80/0.41 (((sK6 @ = @ sK24)) != $false) | (((sK6 @ = @ sK24)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1576,definition,(
% 0.80/0.41 ($false != ((sK9 @ = @ sK22))) | (((sK9 @ = @ sK22)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1577,definition,(
% 0.80/0.41 ($false != sK19) | ($false != ((sK6 @ = @ $false))) | (((sK6 @ = @ sK19)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1582,plain,(
% 0.80/0.41 (((sK6 @ = @ $false)) = $true) | (~spl15_89 | ~spl15_91)),
% 0.80/0.41 inference(forward_demodulation,[],[f1411,f1423])).
% 0.80/0.41 thf(f1583,plain,(
% 0.80/0.41 ($false != ((sK6 @ = @ $false))) | (spl15_87 | ~spl15_91)),
% 0.80/0.41 inference(forward_demodulation,[],[f1401,f1423])).
% 0.80/0.41 thf(f1585,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ $false))) | (~spl15_88 | ~spl15_91)),
% 0.80/0.41 inference(forward_demodulation,[],[f1406,f1423])).
% 0.80/0.41 thf(f1586,plain,(
% 0.80/0.41 ($true != ((sK4 @ = @ $false))) | (spl15_90 | ~spl15_91)),
% 0.80/0.41 inference(forward_demodulation,[],[f1414,f1423])).
% 0.80/0.41 thf(f1589,definition,(
% 0.80/0.41 spl15_103 <=> (((sK6 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_103])],[avatar_definition])).
% 0.80/0.41 thf(f1592,plain,(
% 0.80/0.41 spl15_103 | ~spl15_89 | ~spl15_91),
% 0.80/0.41 inference(avatar_split_clause,[],[f1582,f1421,f1409,f1589])).
% 0.80/0.41 thf(f1593,plain,(
% 0.80/0.41 ~spl15_75 | spl15_87 | ~spl15_91),
% 0.80/0.41 inference(avatar_split_clause,[],[f1583,f1421,f1400,f1133])).
% 0.80/0.41 thf(f1594,plain,(
% 0.80/0.41 spl15_58 | ~spl15_88 | ~spl15_91),
% 0.80/0.41 inference(avatar_split_clause,[],[f1585,f1421,f1404,f895])).
% 0.80/0.41 thf(f1595,plain,(
% 0.80/0.41 ~spl15_84 | spl15_90 | ~spl15_91),
% 0.80/0.41 inference(avatar_split_clause,[],[f1586,f1421,f1413,f1313])).
% 0.80/0.41 thf(f1596,plain,(
% 0.80/0.41 (((sK6 @ = @ $false)) = $true) | (~spl15_46 | ~spl15_52)),
% 0.80/0.41 inference(superposition,[],[f816,f849])).
% 0.80/0.41 thf(f1597,plain,(
% 0.80/0.41 ($false != ((sK6 @ = @ $false))) | (spl15_45 | ~spl15_52)),
% 0.80/0.41 inference(superposition,[],[f810,f849])).
% 0.80/0.41 thf(f1599,plain,(
% 0.80/0.41 ~spl15_75 | spl15_45 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f1597,f847,f809,f1133])).
% 0.80/0.41 thf(f1600,plain,(
% 0.80/0.41 spl15_103 | ~spl15_46 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f1596,f847,f814,f1589])).
% 0.80/0.41 thf(f1603,plain,(
% 0.80/0.41 ($false = sK20) | (((sK4 @ = @ $true)) = $true) | ~spl15_51),
% 0.80/0.41 inference(fool_paramodulation,[],[f842])).
% 0.80/0.41 thf(f1604,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK20) | (~spl15_39 | ~spl15_51)),
% 0.80/0.41 inference(forward_demodulation,[],[f1603,f695])).
% 0.80/0.41 thf(f1605,plain,(
% 0.80/0.41 ($false = sK20) | (~spl15_39 | ~spl15_51)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1604])).
% 0.80/0.41 thf(f1608,plain,(
% 0.80/0.41 spl15_57 | ~spl15_39 | ~spl15_51),
% 0.80/0.41 inference(avatar_split_clause,[],[f1605,f840,f693,f887])).
% 0.80/0.41 thf(f1609,definition,(
% 0.80/0.41 (((sK5 @ = @ $true)) != $false) | (((sK5 @ = @ $true)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1612,plain,(
% 0.80/0.41 ($false = sK20) | (((sK5 @ = @ $true)) = $true) | ~spl15_50),
% 0.80/0.41 inference(fool_paramodulation,[],[f838])).
% 0.80/0.41 thf(f1614,plain,(
% 0.80/0.41 spl15_57 | spl15_54 | ~spl15_50),
% 0.80/0.41 inference(avatar_split_clause,[],[f1612,f836,f858,f887])).
% 0.80/0.41 thf(f1618,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ $false))) | (~spl15_62 | ~spl15_65)),
% 0.80/0.41 inference(superposition,[],[f1025,f1040])).
% 0.80/0.41 thf(f1619,plain,(
% 0.80/0.41 spl15_58 | ~spl15_62 | ~spl15_65),
% 0.80/0.41 inference(avatar_split_clause,[],[f1618,f1038,f1023,f895])).
% 0.80/0.41 thf(f1623,definition,(
% 0.80/0.41 spl15_104 <=> ($false = sK26)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_104])],[avatar_definition])).
% 0.80/0.41 thf(f1625,plain,(
% 0.80/0.41 ($false = sK26) | ~spl15_104),
% 0.80/0.41 inference(avatar_component_clause,[],[f1623])).
% 0.80/0.41 thf(f1631,definition,(
% 0.80/0.41 ($false != ((sK6 @ = @ sK26))) | (((sK6 @ = @ sK26)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1632,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $true))) | ($false = sK26) | ~spl15_99),
% 0.80/0.41 inference(fool_paramodulation,[],[f1539])).
% 0.80/0.41 thf(f1633,plain,(
% 0.80/0.41 spl15_66 | spl15_104 | ~spl15_99),
% 0.80/0.41 inference(avatar_split_clause,[],[f1632,f1537,f1623,f1042])).
% 0.80/0.41 thf(f1636,plain,(
% 0.80/0.41 ($false = sK26) | (((sK6 @ = @ $true)) = $true) | ~spl15_100),
% 0.80/0.41 inference(fool_paramodulation,[],[f1544])).
% 0.80/0.41 thf(f1638,plain,(
% 0.80/0.41 spl15_56 | spl15_104 | ~spl15_100),
% 0.80/0.41 inference(avatar_split_clause,[],[f1636,f1542,f1623,f878])).
% 0.80/0.41 thf(f1639,definition,(
% 0.80/0.41 ($false != sK21) | ($false != sK26) | ($false != ((sK8 @ = @ sK26))) | (((sK8 @ = @ sK21)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1643,definition,(
% 0.80/0.41 ($false != ((sK4 @ = @ sK21))) | (((sK4 @ = @ sK21)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1644,definition,(
% 0.80/0.41 ($false != sK21) | ($false != ((sK4 @ = @ $false))) | (((sK4 @ = @ sK21)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1647,definition,(
% 0.80/0.41 ($false != sK21) | ($false != ((sK8 @ = @ sK21))) | (((sK8 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1649,definition,(
% 0.80/0.41 ($false != sK23) | ($false != sK19) | (((sK5 @ = @ sK19)) != $false) | (((sK5 @ = @ sK23)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1650,definition,(
% 0.80/0.41 ($false != sK23) | ($false != sK19) | (((sK5 @ = @ sK23)) != $true) | (((sK5 @ = @ sK19)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1652,definition,(
% 0.80/0.41 ($false != sK23) | ($false != sK19) | (((sK5 @ = @ sK19)) != $false) | ($false = ((sK5 @ = @ sK23)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1653,definition,(
% 0.80/0.41 ($false != sK19) | ($false != ((sK5 @ = @ $false))) | (((sK5 @ = @ sK19)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1654,definition,(
% 0.80/0.41 ($false != sK19) | ($false != ((sK5 @ = @ $false))) | (((sK5 @ = @ sK19)) = $false)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1656,definition,(
% 0.80/0.41 ($false != sK19) | ($false != ((sK6 @ = @ sK19))) | (((sK6 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1658,definition,(
% 0.80/0.41 ($false != sK26) | ($false != sK19) | ($false != ((sK6 @ = @ sK19))) | (((sK6 @ = @ sK26)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1659,definition,(
% 0.80/0.41 ($false != sK26) | ($false != sK19) | (((sK6 @ = @ sK26)) != $true) | (((sK6 @ = @ sK19)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1662,definition,(
% 0.80/0.41 ($false != ((sK6 @ = @ $true))) | (((sK6 @ = @ $true)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1663,definition,(
% 0.80/0.41 ($true != ((sK8 @ = @ sK26))) | ($false != ((sK8 @ = @ sK26))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1664,definition,(
% 0.80/0.41 ($false != sK26) | ($false != sK21) | ($false != ((sK8 @ = @ sK21))) | ($true != ((sK8 @ = @ sK26))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1666,definition,(
% 0.80/0.41 ($false != sK26) | ($true != ((sK8 @ = @ sK26))) | (((sK8 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1671,definition,(
% 0.80/0.41 ($false != sK22) | ($false != ((sK6 @ = @ sK22))) | (((sK6 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1672,definition,(
% 0.80/0.41 ($false != ((sK6 @ = @ $false))) | (((sK6 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1673,plain,(
% 0.80/0.41 ($true = ((sK5 @ = @ $false))) | (~spl15_80 | ~spl15_82)),
% 0.80/0.41 inference(forward_demodulation,[],[f1265,f1277])).
% 0.80/0.41 thf(f1674,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $false))) | (~spl15_61 | ~spl15_65)),
% 0.80/0.41 inference(forward_demodulation,[],[f1021,f1040])).
% 0.80/0.41 thf(f1675,plain,(
% 0.80/0.41 ($true = ((sK4 @ = @ $false))) | (~spl15_64 | ~spl15_65)),
% 0.80/0.41 inference(forward_demodulation,[],[f1034,f1040])).
% 0.80/0.41 thf(f1676,plain,(
% 0.80/0.41 ($false != ((sK5 @ = @ $false))) | (spl15_79 | ~spl15_82)),
% 0.80/0.41 inference(forward_demodulation,[],[f1259,f1277])).
% 0.80/0.41 thf(f1677,plain,(
% 0.80/0.41 (((sK8 @ = @ $false)) != $true) | (spl15_81 | ~spl15_82)),
% 0.80/0.41 inference(forward_demodulation,[],[f1268,f1277])).
% 0.80/0.41 thf(f1679,plain,(
% 0.80/0.41 (((sK8 @ = @ $false)) != $true) | (spl15_63 | ~spl15_65)),
% 0.80/0.41 inference(forward_demodulation,[],[f1029,f1040])).
% 0.80/0.41 thf(f1681,plain,(
% 0.80/0.41 spl15_59 | ~spl15_80 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1673,f1275,f1263,f900])).
% 0.80/0.41 thf(f1682,plain,(
% 0.80/0.41 spl15_83 | ~spl15_61 | ~spl15_65),
% 0.80/0.41 inference(avatar_split_clause,[],[f1674,f1038,f1019,f1289])).
% 0.80/0.41 thf(f1683,plain,(
% 0.80/0.41 spl15_84 | ~spl15_64 | ~spl15_65),
% 0.80/0.41 inference(avatar_split_clause,[],[f1675,f1038,f1032,f1313])).
% 0.80/0.41 thf(f1684,plain,(
% 0.80/0.41 ~spl15_85 | spl15_79 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1676,f1275,f1258,f1319])).
% 0.80/0.41 thf(f1685,plain,(
% 0.80/0.41 ~spl15_68 | spl15_81 | ~spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f1677,f1275,f1267,f1067])).
% 0.80/0.41 thf(f1687,plain,(
% 0.80/0.41 ~spl15_68 | spl15_63 | ~spl15_65),
% 0.80/0.41 inference(avatar_split_clause,[],[f1679,f1038,f1028,f1067])).
% 0.80/0.41 thf(f1692,plain,(
% 0.80/0.41 (((sK6 @ = @ $false)) = $true) | (~spl15_100 | ~spl15_104)),
% 0.80/0.41 inference(superposition,[],[f1544,f1625])).
% 0.80/0.41 thf(f1693,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $false))) | (~spl15_99 | ~spl15_104)),
% 0.80/0.41 inference(superposition,[],[f1539,f1625])).
% 0.80/0.41 thf(f1694,plain,(
% 0.80/0.41 spl15_83 | ~spl15_99 | ~spl15_104),
% 0.80/0.41 inference(avatar_split_clause,[],[f1693,f1623,f1537,f1289])).
% 0.80/0.41 thf(f1695,plain,(
% 0.80/0.41 spl15_103 | ~spl15_100 | ~spl15_104),
% 0.80/0.41 inference(avatar_split_clause,[],[f1692,f1623,f1542,f1589])).
% 0.80/0.41 thf(f1696,plain,(
% 0.80/0.41 ($false = sK19) | (((sK6 @ = @ $true)) != $true) | spl15_46),
% 0.80/0.41 inference(fool_paramodulation,[],[f815])).
% 0.80/0.41 thf(f1699,plain,(
% 0.80/0.41 spl15_52 | ~spl15_56 | spl15_46),
% 0.80/0.41 inference(avatar_split_clause,[],[f1696,f814,f878,f847])).
% 0.80/0.41 thf(f1709,plain,(
% 0.80/0.41 ($false = sK24) | ($false != ((sK6 @ = @ $true))) | spl15_87),
% 0.80/0.41 inference(fool_paramodulation,[],[f1401])).
% 0.80/0.41 thf(f1711,plain,(
% 0.80/0.41 spl15_91 | ~spl15_53 | spl15_87),
% 0.80/0.41 inference(avatar_split_clause,[],[f1709,f1400,f851,f1421])).
% 0.80/0.41 thf(f1712,definition,(
% 0.80/0.41 ($false != sK24) | (((sK6 @ = @ sK24)) != $false) | (((sK6 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1715,plain,(
% 0.80/0.41 ($false = sK22) | ($false = ((sK9 @ = @ $true))) | ~spl15_71),
% 0.80/0.41 inference(fool_paramodulation,[],[f1109])).
% 0.80/0.41 thf(f1716,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK22) | (~spl15_41 | ~spl15_71)),
% 0.80/0.41 inference(forward_demodulation,[],[f1715,f706])).
% 0.80/0.41 thf(f1717,plain,(
% 0.80/0.41 ($false = sK22) | (~spl15_41 | ~spl15_71)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1716])).
% 0.80/0.41 thf(f1718,plain,(
% 0.80/0.41 spl15_74 | ~spl15_41 | ~spl15_71),
% 0.80/0.41 inference(avatar_split_clause,[],[f1717,f1107,f704,f1124])).
% 0.80/0.41 thf(f1719,definition,(
% 0.80/0.41 ($false != ((sK6 @ = @ sK22))) | (((sK6 @ = @ sK22)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1732,plain,(
% 0.80/0.41 ($true = ((sK5 @ = @ $false))) | (~spl15_47 | ~spl15_52)),
% 0.80/0.41 inference(superposition,[],[f820,f849])).
% 0.80/0.41 thf(f1733,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $false))) | (~spl15_45 | ~spl15_52)),
% 0.80/0.41 inference(superposition,[],[f811,f849])).
% 0.80/0.41 thf(f1734,plain,(
% 0.80/0.41 (((sK6 @ = @ $false)) != $true) | (spl15_46 | ~spl15_52)),
% 0.80/0.41 inference(superposition,[],[f815,f849])).
% 0.80/0.41 thf(f1736,plain,(
% 0.80/0.41 ~spl15_103 | spl15_46 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f1734,f847,f814,f1589])).
% 0.80/0.41 thf(f1737,plain,(
% 0.80/0.41 spl15_59 | ~spl15_47 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f1732,f847,f818,f900])).
% 0.80/0.41 thf(f1738,plain,(
% 0.80/0.41 spl15_75 | ~spl15_45 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f1733,f847,f809,f1133])).
% 0.80/0.41 thf(f1742,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $false))) | (~spl15_87 | ~spl15_91)),
% 0.80/0.41 inference(superposition,[],[f1402,f1423])).
% 0.80/0.41 thf(f1743,plain,(
% 0.80/0.41 spl15_75 | ~spl15_87 | ~spl15_91),
% 0.80/0.41 inference(avatar_split_clause,[],[f1742,f1421,f1400,f1133])).
% 0.80/0.41 thf(f1819,plain,(
% 0.80/0.41 ($true != (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))) @ (sK9 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1))))) @ (sK5 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))) | ($true != ((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y0 = Y1)))))))),
% 0.80/0.41 inference(primitive_instantiation,[],[f41])).
% 0.80/0.41 thf(f1829,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | ((((sK9 @ =) = (sK5 @ =))) != $true)),
% 0.80/0.41 inference(beta-eta_normalization,[],[f1819])).
% 0.80/0.41 thf(f1830,plain,(
% 0.80/0.41 (((sP0 @ =)) != $true) | (((sK5 @ =)) != ((sK9 @ =)))),
% 0.80/0.41 inference(equality_proxy_clausification,[],[f1829])).
% 0.80/0.41 thf(f1837,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK9 @ =))) | ~spl15_8),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f1830,f104])).
% 0.80/0.41 thf(f1839,definition,(
% 0.80/0.41 spl15_105 <=> (((sK5 @ =)) = ((sK9 @ =)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_105])],[avatar_definition])).
% 0.80/0.41 thf(f1841,plain,(
% 0.80/0.41 (((sK5 @ =)) != ((sK9 @ =))) | spl15_105),
% 0.80/0.41 inference(avatar_component_clause,[],[f1839])).
% 0.80/0.41 thf(f1842,plain,(
% 0.80/0.41 ~spl15_105 | ~spl15_8),
% 0.80/0.41 inference(avatar_split_clause,[],[f1837,f102,f1839])).
% 0.80/0.41 thf(f1886,plain,(
% 0.80/0.41 (((sK9 @ = @ sK27)) != ((sK5 @ = @ sK27))) | spl15_105),
% 0.80/0.41 inference(negative_extensionality,[],[f1841])).
% 0.80/0.41 thf(f1887,plain,(
% 0.80/0.41 (((sK5 @ = @ sK27)) = $true) | (((sK9 @ = @ sK27)) = $true) | spl15_105),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1886])).
% 0.80/0.41 thf(f1888,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ sK27))) | ($false = ((sK9 @ = @ sK27))) | spl15_105),
% 0.80/0.41 inference(xor_proxy_clausification,[],[f1886])).
% 0.80/0.41 thf(f1890,definition,(
% 0.80/0.41 spl15_106 <=> ($false = ((sK9 @ = @ sK27)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_106])],[avatar_definition])).
% 0.80/0.41 thf(f1892,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ sK27))) | ~spl15_106),
% 0.80/0.41 inference(avatar_component_clause,[],[f1890])).
% 0.80/0.41 thf(f1894,definition,(
% 0.80/0.41 spl15_107 <=> ($false = ((sK5 @ = @ sK27)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_107])],[avatar_definition])).
% 0.80/0.41 thf(f1896,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ sK27))) | ~spl15_107),
% 0.80/0.41 inference(avatar_component_clause,[],[f1894])).
% 0.80/0.41 thf(f1897,plain,(
% 0.80/0.41 spl15_106 | spl15_107 | spl15_105),
% 0.80/0.41 inference(avatar_split_clause,[],[f1888,f1839,f1894,f1890])).
% 0.80/0.41 thf(f1899,definition,(
% 0.80/0.41 spl15_108 <=> (((sK9 @ = @ sK27)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_108])],[avatar_definition])).
% 0.80/0.41 thf(f1901,plain,(
% 0.80/0.41 (((sK9 @ = @ sK27)) = $true) | ~spl15_108),
% 0.80/0.41 inference(avatar_component_clause,[],[f1899])).
% 0.80/0.41 thf(f1903,definition,(
% 0.80/0.41 spl15_109 <=> (((sK5 @ = @ sK27)) = $true)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_109])],[avatar_definition])).
% 0.80/0.41 thf(f1905,plain,(
% 0.80/0.41 (((sK5 @ = @ sK27)) = $true) | ~spl15_109),
% 0.80/0.41 inference(avatar_component_clause,[],[f1903])).
% 0.80/0.41 thf(f1906,plain,(
% 0.80/0.41 spl15_108 | spl15_109 | spl15_105),
% 0.80/0.41 inference(avatar_split_clause,[],[f1887,f1839,f1903,f1899])).
% 0.80/0.41 thf(f1907,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $false) | ($false = sK27) | ~spl15_107),
% 0.80/0.41 inference(fool_paramodulation,[],[f1896])).
% 0.80/0.41 thf(f1908,plain,(
% 0.80/0.41 ($false = sK27) | ($false = $true) | (~spl15_54 | ~spl15_107)),
% 0.80/0.41 inference(forward_demodulation,[],[f1907,f860])).
% 0.80/0.41 thf(f1909,plain,(
% 0.80/0.41 ($false = sK27) | (~spl15_54 | ~spl15_107)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1908])).
% 0.80/0.41 thf(f1911,definition,(
% 0.80/0.41 spl15_110 <=> ($false = sK27)),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_110])],[avatar_definition])).
% 0.80/0.41 thf(f1914,plain,(
% 0.80/0.41 spl15_110 | ~spl15_54 | ~spl15_107),
% 0.80/0.41 inference(avatar_split_clause,[],[f1909,f1894,f858,f1911])).
% 0.80/0.41 thf(f1915,definition,(
% 0.80/0.41 ($false != ((sK9 @ = @ sK27))) | (((sK9 @ = @ sK27)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1916,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ $true))) | ($false = sK27) | ~spl15_106),
% 0.80/0.41 inference(fool_paramodulation,[],[f1892])).
% 0.80/0.41 thf(f1917,plain,(
% 0.80/0.41 ($false = sK27) | ($false = $true) | (~spl15_41 | ~spl15_106)),
% 0.80/0.41 inference(forward_demodulation,[],[f1916,f706])).
% 0.80/0.41 thf(f1918,plain,(
% 0.80/0.41 ($false = sK27) | (~spl15_41 | ~spl15_106)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1917])).
% 0.80/0.41 thf(f1919,plain,(
% 0.80/0.41 spl15_110 | ~spl15_41 | ~spl15_106),
% 0.80/0.41 inference(avatar_split_clause,[],[f1918,f1890,f704,f1911])).
% 0.80/0.41 thf(f1920,definition,(
% 0.80/0.41 ($false != ((sK5 @ = @ sK27))) | (((sK5 @ = @ sK27)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1921,definition,(
% 0.80/0.41 ($false != sK19) | ($false != sK27) | ($false != ((sK5 @ = @ sK27))) | (((sK5 @ = @ sK19)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1923,definition,(
% 0.80/0.41 ($false != sK27) | ($false != ((sK5 @ = @ sK27))) | ($false = ((sK5 @ = @ $false)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1930,definition,(
% 0.80/0.41 ($false != sK22) | ($false != sK19) | ($false != ((sK6 @ = @ sK19))) | ($false = ((sK6 @ = @ sK22)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1932,definition,(
% 0.80/0.41 ($false != sK22) | ($false != ((sK9 @ = @ sK22))) | (((sK9 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1936,definition,(
% 0.80/0.41 ($false != sK27) | (((sK9 @ = @ sK27)) != $true) | (((sK9 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1938,definition,(
% 0.80/0.41 ($false != sK27) | ($false != sK19) | (((sK5 @ = @ sK19)) != $false) | (((sK5 @ = @ sK27)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1940,definition,(
% 0.80/0.41 ($false != sK27) | (((sK5 @ = @ sK27)) != $true) | ($true = ((sK5 @ = @ $false)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1941,definition,(
% 0.80/0.41 ($false != sK27) | ($false != sK19) | (((sK5 @ = @ sK19)) != $false) | ($false = ((sK5 @ = @ sK27)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1944,definition,(
% 0.80/0.41 ($false != sK25) | (((sK9 @ = @ sK25)) != $true) | (((sK9 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1945,definition,(
% 0.80/0.41 ($false != sK25) | ($false != sK22) | ($false != ((sK9 @ = @ sK22))) | ($false = ((sK9 @ = @ sK25)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1948,definition,(
% 0.80/0.41 ($false != sK26) | ($false != ((sK6 @ = @ sK26))) | ($false = ((sK6 @ = @ $false)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1950,definition,(
% 0.80/0.41 ($false != ((sK8 @ = @ sK23))) | ($true != ((sK8 @ = @ sK23))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1952,definition,(
% 0.80/0.41 ($false != sK25) | ($false != ((sK8 @ = @ sK25))) | ($false = ((sK8 @ = @ $false)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1953,definition,(
% 0.80/0.41 ($false != sK25) | (((sK8 @ = @ $false)) != $true) | (((sK8 @ = @ sK25)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1957,definition,(
% 0.80/0.41 ($false != ((sK4 @ = @ sK18))) | ($true != ((sK4 @ = @ sK18))) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1964,definition,(
% 0.80/0.41 spl15_111 <=> ($false = ((sK9 @ = @ $true)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_111])],[avatar_definition])).
% 0.80/0.41 thf(f1969,plain,(
% 0.80/0.41 ($false = sK18) | (((sK4 @ = @ $true)) = $true) | ~spl15_38),
% 0.80/0.41 inference(fool_paramodulation,[],[f688])).
% 0.80/0.41 thf(f1970,plain,(
% 0.80/0.41 ($false = $true) | ($false = sK18) | (~spl15_38 | ~spl15_39)),
% 0.80/0.41 inference(forward_demodulation,[],[f1969,f695])).
% 0.80/0.41 thf(f1971,plain,(
% 0.80/0.41 ($false = sK18) | (~spl15_38 | ~spl15_39)),
% 0.80/0.41 inference(trivial_inequality_removal,[],[f1970])).
% 0.80/0.41 thf(f1974,plain,(
% 0.80/0.41 spl15_40 | ~spl15_38 | ~spl15_39),
% 0.80/0.41 inference(avatar_split_clause,[],[f1971,f693,f686,f697])).
% 0.80/0.41 thf(f1988,definition,(
% 0.80/0.41 ($false != sK25) | (((sK8 @ = @ sK25)) != $true) | (((sK8 @ = @ $false)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1990,definition,(
% 0.80/0.41 ($false != sK25) | ($false != sK23) | ($false != ((sK8 @ = @ sK23))) | ($false = ((sK8 @ = @ sK25)))),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1992,definition,(
% 0.80/0.41 ($false != sK20) | ($false != sK19) | ($true != ((sK5 @ = @ sK20))) | (((sK5 @ = @ sK19)) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1996,definition,(
% 0.80/0.41 ($false != ((sK8 @ = @ $false))) | (((sK8 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1997,definition,(
% 0.80/0.41 ($false != ((sK9 @ = @ $true))) | (((sK9 @ = @ $true)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f1999,plain,(
% 0.80/0.41 ($false != ((sK5 @ = @ $false))) | (spl15_48 | ~spl15_57)),
% 0.80/0.41 inference(forward_demodulation,[],[f828,f889])).
% 0.80/0.41 thf(f2000,plain,(
% 0.80/0.41 (((sK6 @ = @ $false)) = $true) | (~spl15_73 | ~spl15_74)),
% 0.80/0.41 inference(forward_demodulation,[],[f1118,f1126])).
% 0.80/0.41 thf(f2003,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ $false))) | (~spl15_71 | ~spl15_74)),
% 0.80/0.41 inference(forward_demodulation,[],[f1109,f1126])).
% 0.80/0.41 thf(f2004,plain,(
% 0.80/0.41 ($false != ((sK6 @ = @ $false))) | (spl15_70 | ~spl15_74)),
% 0.80/0.41 inference(forward_demodulation,[],[f1104,f1126])).
% 0.80/0.41 thf(f2007,plain,(
% 0.80/0.41 ~spl15_85 | spl15_48 | ~spl15_57),
% 0.80/0.41 inference(avatar_split_clause,[],[f1999,f887,f827,f1319])).
% 0.80/0.41 thf(f2008,plain,(
% 0.80/0.41 spl15_103 | ~spl15_73 | ~spl15_74),
% 0.80/0.41 inference(avatar_split_clause,[],[f2000,f1124,f1116,f1589])).
% 0.80/0.41 thf(f2011,definition,(
% 0.80/0.41 spl15_112 <=> ($false = ((sK9 @ = @ $false)))),
% 0.80/0.41 introduced(definition,[new_symbols(definition,[spl15_112])],[avatar_definition])).
% 0.80/0.41 thf(f2014,plain,(
% 0.80/0.41 spl15_112 | ~spl15_71 | ~spl15_74),
% 0.80/0.41 inference(avatar_split_clause,[],[f2003,f1124,f1107,f2011])).
% 0.80/0.41 thf(f2015,plain,(
% 0.80/0.41 ~spl15_75 | spl15_70 | ~spl15_74),
% 0.80/0.41 inference(avatar_split_clause,[],[f2004,f1124,f1103,f1133])).
% 0.80/0.41 thf(f2027,plain,(
% 0.80/0.41 (((sK9 @ = @ $true)) = $true) | ($false = sK18) | ~spl15_37),
% 0.80/0.41 inference(fool_paramodulation,[],[f684])).
% 0.80/0.41 thf(f2030,plain,(
% 0.80/0.41 spl15_40 | spl15_41 | ~spl15_37),
% 0.80/0.41 inference(avatar_split_clause,[],[f2027,f682,f704,f697])).
% 0.80/0.41 thf(f2034,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) != $false) | ($false = sK19) | spl15_44),
% 0.80/0.41 inference(fool_paramodulation,[],[f806])).
% 0.80/0.41 thf(f2036,plain,(
% 0.80/0.41 ~spl15_55 | spl15_52 | spl15_44),
% 0.80/0.41 inference(avatar_split_clause,[],[f2034,f805,f847,f866])).
% 0.80/0.41 thf(f2044,plain,(
% 0.80/0.41 ($false = sK21) | ($true = ((sK8 @ = @ $true))) | ~spl15_63),
% 0.80/0.41 inference(fool_paramodulation,[],[f1030])).
% 0.80/0.41 thf(f2046,plain,(
% 0.80/0.41 spl15_65 | spl15_67 | ~spl15_63),
% 0.80/0.41 inference(avatar_split_clause,[],[f2044,f1028,f1058,f1038])).
% 0.80/0.41 thf(f2049,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $false) | ($false = sK19) | ~spl15_44),
% 0.80/0.41 inference(fool_paramodulation,[],[f807])).
% 0.80/0.41 thf(f2050,plain,(
% 0.80/0.41 spl15_52 | spl15_55 | ~spl15_44),
% 0.80/0.41 inference(avatar_split_clause,[],[f2049,f805,f866,f847])).
% 0.80/0.41 thf(f2051,plain,(
% 0.80/0.41 ($false = sK19) | (((sK6 @ = @ $true)) = $true) | ~spl15_46),
% 0.80/0.41 inference(fool_paramodulation,[],[f816])).
% 0.80/0.41 thf(f2054,plain,(
% 0.80/0.41 spl15_56 | spl15_52 | ~spl15_46),
% 0.80/0.41 inference(avatar_split_clause,[],[f2051,f814,f847,f878])).
% 0.80/0.41 thf(f2059,definition,(
% 0.80/0.41 ($false != sK22) | ($false != ((sK9 @ = @ $false))) | (((sK9 @ = @ sK22)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f2062,plain,(
% 0.80/0.41 (((sK6 @ = @ $false)) != $true) | (spl15_73 | ~spl15_74)),
% 0.80/0.41 inference(forward_demodulation,[],[f1117,f1126])).
% 0.80/0.41 thf(f2066,plain,(
% 0.80/0.41 ~spl15_103 | spl15_73 | ~spl15_74),
% 0.80/0.41 inference(avatar_split_clause,[],[f2062,f1124,f1116,f1589])).
% 0.80/0.41 thf(f2077,plain,(
% 0.80/0.41 ($false = sK23) | (((sK5 @ = @ $true)) = $true) | ~spl15_80),
% 0.80/0.41 inference(fool_paramodulation,[],[f1265])).
% 0.80/0.41 thf(f2080,plain,(
% 0.80/0.41 spl15_82 | spl15_54 | ~spl15_80),
% 0.80/0.41 inference(avatar_split_clause,[],[f2077,f1263,f858,f1275])).
% 0.80/0.41 thf(f2083,plain,(
% 0.80/0.41 ($true != ((sK5 @ = @ $false))) | (spl15_47 | ~spl15_52)),
% 0.80/0.41 inference(forward_demodulation,[],[f819,f849])).
% 0.80/0.41 thf(f2086,plain,(
% 0.80/0.41 ($false = ((sK5 @ = @ $false))) | (~spl15_44 | ~spl15_52)),
% 0.80/0.41 inference(forward_demodulation,[],[f807,f849])).
% 0.80/0.41 thf(f2094,plain,(
% 0.80/0.41 ~spl15_59 | spl15_47 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f2083,f847,f818,f900])).
% 0.80/0.41 thf(f2095,plain,(
% 0.80/0.41 spl15_85 | ~spl15_44 | ~spl15_52),
% 0.80/0.41 inference(avatar_split_clause,[],[f2086,f847,f805,f1319])).
% 0.80/0.41 thf(f2096,definition,(
% 0.80/0.41 ($false != ((sK4 @ = @ sK24))) | (((sK4 @ = @ sK24)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f2125,plain,(
% 0.80/0.41 ($false = sK24) | (((sK4 @ = @ $true)) = $false) | ~spl15_88),
% 0.80/0.41 inference(fool_paramodulation,[],[f1406])).
% 0.80/0.41 thf(f2126,plain,(
% 0.80/0.41 spl15_39 | spl15_91 | ~spl15_88),
% 0.80/0.41 inference(avatar_split_clause,[],[f2125,f1404,f1421,f693])).
% 0.80/0.41 thf(f2138,plain,(
% 0.80/0.41 ($false = sK20) | (((sK4 @ = @ $true)) = $false) | ~spl15_49),
% 0.80/0.41 inference(fool_paramodulation,[],[f833])).
% 0.80/0.41 thf(f2139,plain,(
% 0.80/0.41 spl15_57 | spl15_39 | ~spl15_49),
% 0.80/0.41 inference(avatar_split_clause,[],[f2138,f831,f693,f887])).
% 0.80/0.41 thf(f2141,plain,(
% 0.80/0.41 (((sK9 @ = @ $false)) = $true) | (~spl15_37 | ~spl15_40)),
% 0.80/0.41 inference(forward_demodulation,[],[f684,f699])).
% 0.80/0.41 thf(f2142,plain,(
% 0.80/0.41 ($true != ((sK4 @ = @ $false))) | (spl15_38 | ~spl15_40)),
% 0.80/0.41 inference(forward_demodulation,[],[f687,f699])).
% 0.80/0.41 thf(f2146,plain,(
% 0.80/0.41 ($false = ((sK4 @ = @ $false))) | (~spl15_36 | ~spl15_40)),
% 0.80/0.41 inference(forward_demodulation,[],[f679,f699])).
% 0.80/0.41 thf(f2147,plain,(
% 0.80/0.41 ($false != ((sK9 @ = @ $false))) | (spl15_35 | ~spl15_40)),
% 0.80/0.41 inference(forward_demodulation,[],[f674,f699])).
% 0.80/0.41 thf(f2148,plain,(
% 0.80/0.41 spl15_76 | ~spl15_37 | ~spl15_40),
% 0.80/0.41 inference(avatar_split_clause,[],[f2141,f697,f682,f1138])).
% 0.80/0.41 thf(f2149,plain,(
% 0.80/0.41 ~spl15_84 | spl15_38 | ~spl15_40),
% 0.80/0.41 inference(avatar_split_clause,[],[f2142,f697,f686,f1313])).
% 0.80/0.41 thf(f2150,plain,(
% 0.80/0.41 spl15_58 | ~spl15_36 | ~spl15_40),
% 0.80/0.41 inference(avatar_split_clause,[],[f2146,f697,f677,f895])).
% 0.80/0.41 thf(f2151,plain,(
% 0.80/0.41 ~spl15_112 | spl15_35 | ~spl15_40),
% 0.80/0.41 inference(avatar_split_clause,[],[f2147,f697,f673,f2011])).
% 0.80/0.41 thf(f2154,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $false) | ($false = sK20) | ~spl15_48),
% 0.80/0.41 inference(fool_paramodulation,[],[f829])).
% 0.80/0.41 thf(f2155,plain,(
% 0.80/0.41 spl15_57 | spl15_55 | ~spl15_48),
% 0.80/0.41 inference(avatar_split_clause,[],[f2154,f827,f866,f887])).
% 0.80/0.41 thf(f2161,plain,(
% 0.80/0.41 ($false = sK21) | (((sK4 @ = @ $true)) = $false) | ~spl15_62),
% 0.80/0.41 inference(fool_paramodulation,[],[f1025])).
% 0.80/0.41 thf(f2162,plain,(
% 0.80/0.41 spl15_39 | spl15_65 | ~spl15_62),
% 0.80/0.41 inference(avatar_split_clause,[],[f2161,f1023,f1038,f693])).
% 0.80/0.41 thf(f2167,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $false) | ($false = sK23) | ~spl15_79),
% 0.80/0.41 inference(fool_paramodulation,[],[f1260])).
% 0.80/0.41 thf(f2168,plain,(
% 0.80/0.41 spl15_55 | spl15_82 | ~spl15_79),
% 0.80/0.41 inference(avatar_split_clause,[],[f2167,f1258,f1275,f866])).
% 0.80/0.41 thf(f2170,plain,(
% 0.80/0.41 ($true = ((sK8 @ = @ $true))) | ($false = sK23) | ~spl15_81),
% 0.80/0.41 inference(fool_paramodulation,[],[f1269])).
% 0.80/0.41 thf(f2172,plain,(
% 0.80/0.41 spl15_67 | spl15_82 | ~spl15_81),
% 0.80/0.41 inference(avatar_split_clause,[],[f2170,f1267,f1275,f1058])).
% 0.80/0.41 thf(f2173,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $true))) | ($false = sK24) | ~spl15_87),
% 0.80/0.41 inference(fool_paramodulation,[],[f1402])).
% 0.80/0.41 thf(f2174,plain,(
% 0.80/0.41 spl15_53 | spl15_91 | ~spl15_87),
% 0.80/0.41 inference(avatar_split_clause,[],[f2173,f1400,f1421,f851])).
% 0.80/0.41 thf(f2181,plain,(
% 0.80/0.41 ($false = ((sK9 @ = @ $true))) | ($false = sK25) | ~spl15_93),
% 0.80/0.41 inference(fool_paramodulation,[],[f1489])).
% 0.80/0.41 thf(f2182,plain,(
% 0.80/0.41 spl15_102 | spl15_111 | ~spl15_93),
% 0.80/0.41 inference(avatar_split_clause,[],[f2181,f1487,f1964,f1555])).
% 0.80/0.41 thf(f2184,plain,(
% 0.80/0.41 ($true = ((sK8 @ = @ $true))) | ($false = sK25) | ~spl15_95),
% 0.80/0.41 inference(fool_paramodulation,[],[f1498])).
% 0.80/0.41 thf(f2187,plain,(
% 0.80/0.41 spl15_102 | spl15_67 | ~spl15_95),
% 0.80/0.41 inference(avatar_split_clause,[],[f2184,f1496,f1058,f1555])).
% 0.80/0.41 thf(f2188,plain,(
% 0.80/0.41 ($false = sK26) | ($false = ((sK6 @ = @ $true))) | ~spl15_98),
% 0.80/0.41 inference(fool_paramodulation,[],[f1535])).
% 0.80/0.41 thf(f2189,plain,(
% 0.80/0.41 spl15_53 | spl15_104 | ~spl15_98),
% 0.80/0.41 inference(avatar_split_clause,[],[f2188,f1533,f1623,f851])).
% 0.80/0.41 thf(f2190,plain,(
% 0.80/0.41 ($false != ((sK8 @ = @ $false))) | (spl15_61 | ~spl15_65)),
% 0.80/0.41 inference(forward_demodulation,[],[f1020,f1040])).
% 0.80/0.41 thf(f2191,plain,(
% 0.80/0.41 ~spl15_83 | spl15_61 | ~spl15_65),
% 0.80/0.41 inference(avatar_split_clause,[],[f2190,f1038,f1019,f1289])).
% 0.80/0.41 thf(f2193,plain,(
% 0.80/0.41 ($false = sK26) | ($true = ((sK8 @ = @ $true))) | ~spl15_101),
% 0.80/0.41 inference(fool_paramodulation,[],[f1548])).
% 0.80/0.41 thf(f2195,plain,(
% 0.80/0.41 spl15_104 | spl15_67 | ~spl15_101),
% 0.80/0.41 inference(avatar_split_clause,[],[f2193,f1546,f1058,f1623])).
% 0.80/0.41 thf(f2196,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $false) | ($false = sK27) | ~spl15_107),
% 0.80/0.41 inference(fool_paramodulation,[],[f1896])).
% 0.80/0.41 thf(f2197,plain,(
% 0.80/0.41 spl15_55 | spl15_110 | ~spl15_107),
% 0.80/0.41 inference(avatar_split_clause,[],[f2196,f1894,f1911,f866])).
% 0.80/0.41 thf(f2199,plain,(
% 0.80/0.41 (((sK9 @ = @ $true)) = $true) | ($false = sK27) | ~spl15_108),
% 0.80/0.41 inference(fool_paramodulation,[],[f1901])).
% 0.80/0.41 thf(f2201,plain,(
% 0.80/0.41 spl15_41 | spl15_110 | ~spl15_108),
% 0.80/0.41 inference(avatar_split_clause,[],[f2199,f1899,f1911,f704])).
% 0.80/0.41 thf(f2205,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $true) | ($false = sK27) | ~spl15_109),
% 0.80/0.41 inference(fool_paramodulation,[],[f1905])).
% 0.80/0.41 thf(f2207,plain,(
% 0.80/0.41 spl15_110 | spl15_54 | ~spl15_109),
% 0.80/0.41 inference(avatar_split_clause,[],[f2205,f1903,f858,f1911])).
% 0.80/0.41 thf(f2210,plain,(
% 0.80/0.41 (((sK9 @ = @ $false)) != $true) | (spl15_37 | ~spl15_40)),
% 0.80/0.41 inference(forward_demodulation,[],[f683,f699])).
% 0.80/0.41 thf(f2217,plain,(
% 0.80/0.41 ($false != ((sK4 @ = @ $false))) | (spl15_36 | ~spl15_40)),
% 0.80/0.41 inference(forward_demodulation,[],[f678,f699])).
% 0.80/0.41 thf(f2224,plain,(
% 0.80/0.41 ~spl15_76 | spl15_37 | ~spl15_40),
% 0.80/0.41 inference(avatar_split_clause,[],[f2210,f697,f682,f1138])).
% 0.80/0.41 thf(f2225,plain,(
% 0.80/0.41 ~spl15_58 | spl15_36 | ~spl15_40),
% 0.80/0.41 inference(avatar_split_clause,[],[f2217,f697,f677,f895])).
% 0.80/0.41 thf(f2229,plain,(
% 0.80/0.41 ($false = sK23) | (((sK5 @ = @ $true)) = $true) | ~spl15_80),
% 0.80/0.41 inference(fool_paramodulation,[],[f1265])).
% 0.80/0.41 thf(f2231,plain,(
% 0.80/0.41 (((sK5 @ = @ $true)) = $true) | (~spl15_80 | spl15_82)),
% 0.80/0.41 inference(forward_subsumption_resolution,[],[f2229,f1276])).
% 0.80/0.41 thf(f2233,plain,(
% 0.80/0.41 spl15_54 | ~spl15_80 | spl15_82),
% 0.80/0.41 inference(avatar_split_clause,[],[f2231,f1275,f1263,f858])).
% 0.80/0.41 thf(f2240,plain,(
% 0.80/0.41 (((sK9 @ = @ $true)) = $true) | ($false = sK25) | ~spl15_96),
% 0.80/0.41 inference(fool_paramodulation,[],[f1502])).
% 0.80/0.41 thf(f2243,plain,(
% 0.80/0.41 spl15_41 | spl15_102 | ~spl15_96),
% 0.80/0.41 inference(avatar_split_clause,[],[f2240,f1500,f1555,f704])).
% 0.80/0.41 thf(f2244,definition,(
% 0.80/0.41 ($false != sK27) | ($false != ((sK9 @ = @ sK27))) | (((sK9 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f2247,definition,(
% 0.80/0.41 ($false != sK25) | ($false != ((sK9 @ = @ sK25))) | (((sK9 @ = @ $false)) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($false)))))) != $true) | (((sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: ($true)))))) = $true)),
% 0.80/0.41 introduced(theory,[theory_tautology_sat_conflict])).
% 0.80/0.41 thf(f2250,plain,(
% 0.80/0.41 ($false = sK18) | ($false = ((sK9 @ = @ $true))) | ~spl15_35),
% 0.80/0.41 inference(fool_paramodulation,[],[f675])).
% 0.80/0.41 thf(f2251,plain,(
% 0.80/0.41 spl15_111 | spl15_40 | ~spl15_35),
% 0.80/0.41 inference(avatar_split_clause,[],[f2250,f673,f697,f1964])).
% 0.80/0.41 thf(f2257,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $true))) | ($false = sK19) | ~spl15_45),
% 0.80/0.41 inference(fool_paramodulation,[],[f811])).
% 0.80/0.41 thf(f2258,plain,(
% 0.80/0.41 spl15_53 | spl15_52 | ~spl15_45),
% 0.80/0.41 inference(avatar_split_clause,[],[f2257,f809,f847,f851])).
% 0.80/0.41 thf(f2259,plain,(
% 0.80/0.41 ($false = sK19) | (((sK5 @ = @ $true)) = $true) | ~spl15_47),
% 0.80/0.41 inference(fool_paramodulation,[],[f820])).
% 0.80/0.41 thf(f2262,plain,(
% 0.80/0.41 spl15_54 | spl15_52 | ~spl15_47),
% 0.80/0.41 inference(avatar_split_clause,[],[f2259,f818,f847,f858])).
% 0.80/0.41 thf(f2263,plain,(
% 0.80/0.41 ($false = ((sK8 @ = @ $true))) | ($false = sK21) | ~spl15_61),
% 0.80/0.41 inference(fool_paramodulation,[],[f1021])).
% 0.80/0.41 thf(f2264,plain,(
% 0.80/0.41 spl15_66 | spl15_65 | ~spl15_61),
% 0.80/0.41 inference(avatar_split_clause,[],[f2263,f1019,f1038,f1042])).
% 0.80/0.41 thf(f2272,plain,(
% 0.80/0.41 ($false = sK22) | (((sK6 @ = @ $true)) = $true) | ~spl15_73),
% 0.80/0.41 inference(fool_paramodulation,[],[f1118])).
% 0.80/0.41 thf(f2275,plain,(
% 0.80/0.41 spl15_74 | spl15_56 | ~spl15_73),
% 0.80/0.41 inference(avatar_split_clause,[],[f2272,f1116,f878,f1124])).
% 0.80/0.41 thf(f2277,plain,(
% 0.80/0.41 ($false = ((sK6 @ = @ $true))) | ($false = sK22) | ~spl15_70),
% 0.80/0.41 inference(fool_paramodulation,[],[f1105])).
% 0.80/0.41 thf(f2278,plain,(
% 0.80/0.41 spl15_53 | spl15_74 | ~spl15_70),
% 0.80/0.41 inference(avatar_split_clause,[],[f2277,f1103,f1124,f851])).
% 0.80/0.41 thf(f2282,plain,(
% 0.80/0.41 ($false = sK22) | (((sK9 @ = @ $true)) = $true) | ~spl15_72),
% 0.80/0.41 inference(fool_paramodulation,[],[f1114])).
% 0.80/0.41 thf(f2285,plain,(
% 0.80/0.41 spl15_74 | spl15_41 | ~spl15_72),
% 0.80/0.41 inference(avatar_split_clause,[],[f2282,f1112,f704,f1124])).
% 0.80/0.41 cnf(s4, plain, ~spl15_6 | spl15_7 | spl15_8, inference(sat_conversion,[],[f105])).
% 0.80/0.41 cnf(s7, plain, spl15_6 | spl15_7 | spl15_8, inference(sat_conversion,[],[f131])).
% 0.80/0.41 cnf(s9, plain, ~spl15_6 | spl15_8 | ~spl15_12, inference(sat_conversion,[],[f159])).
% 0.80/0.41 cnf(s13, plain, spl15_6 | spl15_8 | ~spl15_12, inference(sat_conversion,[],[f186])).
% 0.80/0.41 cnf(s15, plain, ~spl15_6 | spl15_8 | spl15_15, inference(sat_conversion,[],[f210])).
% 0.80/0.41 cnf(s20, plain, spl15_10, inference(sat_conversion,[],[f269])).
% 0.80/0.41 cnf(s22, plain, spl15_6 | spl15_8 | spl15_15, inference(sat_conversion,[],[f271])).
% 0.80/0.41 cnf(s25, plain, ~spl15_7 | spl15_12 | ~spl15_15, inference(sat_conversion,[],[f286])).
% 0.80/0.41 cnf(s42, plain, ~spl15_1, inference(sat_conversion,[],[f612])).
% 0.80/0.41 cnf(s45, plain, ~spl15_8 | ~spl15_34, inference(sat_conversion,[],[f623])).
% 0.80/0.41 cnf(s52, plain, spl15_34 | spl15_35 | spl15_36, inference(sat_conversion,[],[f680])).
% 0.80/0.41 cnf(s53, plain, spl15_34 | spl15_37 | spl15_38, inference(sat_conversion,[],[f689])).
% 0.80/0.41 cnf(s54, plain, spl15_1 | ~spl15_10 | ~spl15_35 | ~spl15_37, inference(sat_conversion,[],[f690])).
% 0.80/0.41 cnf(s55, plain, ~spl15_36 | spl15_39 | spl15_40, inference(sat_conversion,[],[f700])).
% 0.80/0.41 cnf(s58, plain, ~spl15_8 | ~spl15_42, inference(sat_conversion,[],[f733])).
% 0.80/0.41 cnf(s61, plain, ~spl15_8 | ~spl15_43, inference(sat_conversion,[],[f800])).
% 0.80/0.41 cnf(s62, plain, spl15_42 | spl15_44 | spl15_45, inference(sat_conversion,[],[f812])).
% 0.80/0.41 cnf(s63, plain, spl15_42 | spl15_46 | spl15_47, inference(sat_conversion,[],[f821])).
% 0.80/0.41 cnf(s64, plain, spl15_1 | ~spl15_10 | ~spl15_44 | ~spl15_47, inference(sat_conversion,[],[f822])).
% 0.80/0.41 cnf(s65, plain, spl15_43 | spl15_48 | spl15_49, inference(sat_conversion,[],[f834])).
% 0.80/0.41 cnf(s66, plain, spl15_43 | spl15_50 | spl15_51, inference(sat_conversion,[],[f843])).
% 0.80/0.41 cnf(s67, plain, spl15_1 | ~spl15_10 | ~spl15_48 | ~spl15_50, inference(sat_conversion,[],[f844])).
% 0.80/0.41 cnf(s71, plain, spl15_1 | ~spl15_10 | ~spl15_45 | ~spl15_46, inference(sat_conversion,[],[f863])).
% 0.80/0.41 cnf(s74, plain, spl15_45 | spl15_52 | ~spl15_53, inference(sat_conversion,[],[f873])).
% 0.80/0.41 cnf(s79, plain, ~spl15_49 | ~spl15_57 | spl15_58, inference(sat_conversion,[],[f898])).
% 0.80/0.41 cnf(s81, plain, ~spl15_8 | ~spl15_60, inference(sat_conversion,[],[f971])).
% 0.80/0.41 cnf(s84, plain, spl15_60 | spl15_61 | spl15_62, inference(sat_conversion,[],[f1026])).
% 0.80/0.41 cnf(s85, plain, spl15_60 | spl15_63 | spl15_64, inference(sat_conversion,[],[f1035])).
% 0.80/0.41 cnf(s87, plain, ~spl15_39 | ~spl15_64 | spl15_65, inference(sat_conversion,[],[f1052])).
% 0.80/0.41 cnf(s89, plain, spl15_1 | ~spl15_10 | ~spl15_61 | ~spl15_63, inference(sat_conversion,[],[f1053])).
% 0.80/0.41 cnf(s93, plain, spl15_1 | ~spl15_10 | ~spl15_66 | ~spl15_67, inference(sat_conversion,[],[f1071])).
% 0.80/0.41 cnf(s94, plain, ~spl15_8 | ~spl15_69, inference(sat_conversion,[],[f1098])).
% 0.80/0.41 cnf(s95, plain, spl15_69 | spl15_70 | spl15_71, inference(sat_conversion,[],[f1110])).
% 0.80/0.41 cnf(s96, plain, spl15_69 | spl15_72 | spl15_73, inference(sat_conversion,[],[f1119])).
% 0.80/0.41 cnf(s97, plain, ~spl15_56 | ~spl15_70 | spl15_74, inference(sat_conversion,[],[f1127])).
% 0.80/0.41 cnf(s98, plain, ~spl15_70 | ~spl15_74 | spl15_75, inference(sat_conversion,[],[f1136])).
% 0.80/0.41 cnf(s99, plain, ~spl15_72 | ~spl15_74 | spl15_76, inference(sat_conversion,[],[f1141])).
% 0.80/0.41 cnf(s100, plain, ~spl15_8 | ~spl15_77, inference(sat_conversion,[],[f1165])).
% 0.80/0.41 cnf(s103, plain, spl15_77 | spl15_78 | spl15_79, inference(sat_conversion,[],[f1261])).
% 0.80/0.41 cnf(s104, plain, spl15_77 | spl15_80 | spl15_81, inference(sat_conversion,[],[f1270])).
% 0.80/0.41 cnf(s105, plain, ~spl15_67 | ~spl15_78 | spl15_82, inference(sat_conversion,[],[f1278])).
% 0.80/0.41 cnf(s106, plain, ~spl15_55 | ~spl15_80 | spl15_82, inference(sat_conversion,[],[f1285])).
% 0.80/0.41 cnf(s108, plain, ~spl15_78 | ~spl15_82 | spl15_83, inference(sat_conversion,[],[f1292])).
% 0.80/0.41 cnf(s109, plain, spl15_1 | ~spl15_10 | ~spl15_79 | ~spl15_80, inference(sat_conversion,[],[f1293])).
% 0.80/0.41 cnf(s113, plain, spl15_1 | ~spl15_10 | ~spl15_49 | ~spl15_51, inference(sat_conversion,[],[f1297])).
% 0.80/0.41 cnf(s114, plain, spl15_1 | ~spl15_10 | ~spl15_51 | ~spl15_57 | ~spl15_58, inference(sat_conversion,[],[f1298])).
% 0.80/0.41 cnf(s116, plain, spl15_1 | ~spl15_10 | ~spl15_48 | ~spl15_57 | ~spl15_59, inference(sat_conversion,[],[f1300])).
% 0.80/0.41 cnf(s119, plain, ~spl15_59 | spl15_80 | ~spl15_82, inference(sat_conversion,[],[f1311])).
% 0.80/0.41 cnf(s120, plain, ~spl15_51 | ~spl15_57 | spl15_84, inference(sat_conversion,[],[f1316])).
% 0.80/0.41 cnf(s122, plain, ~spl15_79 | ~spl15_82 | spl15_85, inference(sat_conversion,[],[f1322])).
% 0.80/0.41 cnf(s123, plain, ~spl15_48 | ~spl15_57 | spl15_85, inference(sat_conversion,[],[f1323])).
% 0.80/0.41 cnf(s124, plain, spl15_50 | ~spl15_57 | ~spl15_59, inference(sat_conversion,[],[f1324])).
% 0.80/0.41 cnf(s125, plain, spl15_78 | ~spl15_82 | ~spl15_83, inference(sat_conversion,[],[f1325])).
% 0.80/0.41 cnf(s126, plain, ~spl15_8 | ~spl15_86, inference(sat_conversion,[],[f1352])).
% 0.80/0.41 cnf(s129, plain, spl15_86 | spl15_87 | spl15_88, inference(sat_conversion,[],[f1407])).
% 0.80/0.41 cnf(s130, plain, spl15_86 | spl15_89 | spl15_90, inference(sat_conversion,[],[f1416])).
% 0.80/0.41 cnf(s131, plain, ~spl15_56 | ~spl15_87 | spl15_91, inference(sat_conversion,[],[f1424])).
% 0.80/0.41 cnf(s132, plain, ~spl15_39 | ~spl15_90 | spl15_91, inference(sat_conversion,[],[f1431])).
% 0.80/0.41 cnf(s134, plain, ~spl15_8 | ~spl15_92, inference(sat_conversion,[],[f1457])).
% 0.80/0.41 cnf(s136, plain, spl15_92 | spl15_93 | spl15_94, inference(sat_conversion,[],[f1494])).
% 0.80/0.41 cnf(s137, plain, spl15_92 | spl15_95 | spl15_96, inference(sat_conversion,[],[f1503])).
% 0.80/0.41 cnf(s138, plain, spl15_1 | ~spl15_10 | ~spl15_93 | ~spl15_96, inference(sat_conversion,[],[f1504])).
% 0.80/0.41 cnf(s139, plain, ~spl15_8 | ~spl15_97, inference(sat_conversion,[],[f1528])).
% 0.80/0.41 cnf(s140, plain, spl15_97 | spl15_98 | spl15_99, inference(sat_conversion,[],[f1540])).
% 0.80/0.41 cnf(s141, plain, spl15_97 | spl15_100 | spl15_101, inference(sat_conversion,[],[f1549])).
% 0.80/0.41 cnf(s146, plain, spl15_1 | ~spl15_10 | ~spl15_94 | ~spl15_95, inference(sat_conversion,[],[f1561])).
% 0.80/0.41 cnf(s147, plain, ~spl15_67 | ~spl15_94 | spl15_102, inference(sat_conversion,[],[f1565])).
% 0.80/0.41 cnf(s148, plain, spl15_1 | ~spl15_10 | ~spl15_51 | ~spl15_57 | ~spl15_62 | ~spl15_65, inference(sat_conversion,[],[f1566])).
% 0.80/0.41 cnf(s151, plain, ~spl15_51 | ~spl15_57 | spl15_64 | ~spl15_65, inference(sat_conversion,[],[f1569])).
% 0.80/0.41 cnf(s152, plain, spl15_1 | ~spl15_10 | ~spl15_58 | ~spl15_84, inference(sat_conversion,[],[f1570])).
% 0.80/0.41 cnf(s153, plain, spl15_1 | ~spl15_10 | ~spl15_58 | ~spl15_90 | ~spl15_91, inference(sat_conversion,[],[f1571])).
% 0.80/0.41 cnf(s154, plain, spl15_84 | ~spl15_90 | ~spl15_91, inference(sat_conversion,[],[f1572])).
% 0.80/0.41 cnf(s155, plain, spl15_1 | ~spl15_10 | ~spl15_87 | ~spl15_89, inference(sat_conversion,[],[f1573])).
% 0.80/0.41 cnf(s158, plain, spl15_1 | ~spl15_10 | ~spl15_71 | ~spl15_72, inference(sat_conversion,[],[f1576])).
% 0.80/0.41 cnf(s159, plain, spl15_1 | ~spl15_10 | ~spl15_46 | ~spl15_52 | ~spl15_75, inference(sat_conversion,[],[f1577])).
% 0.80/0.41 cnf(s165, plain, ~spl15_89 | ~spl15_91 | spl15_103, inference(sat_conversion,[],[f1592])).
% 0.80/0.41 cnf(s166, plain, ~spl15_75 | spl15_87 | ~spl15_91, inference(sat_conversion,[],[f1593])).
% 0.80/0.41 cnf(s167, plain, spl15_58 | ~spl15_88 | ~spl15_91, inference(sat_conversion,[],[f1594])).
% 0.80/0.41 cnf(s168, plain, ~spl15_84 | spl15_90 | ~spl15_91, inference(sat_conversion,[],[f1595])).
% 0.80/0.41 cnf(s169, plain, spl15_45 | ~spl15_52 | ~spl15_75, inference(sat_conversion,[],[f1599])).
% 0.80/0.41 cnf(s170, plain, ~spl15_46 | ~spl15_52 | spl15_103, inference(sat_conversion,[],[f1600])).
% 0.80/0.41 cnf(s171, plain, ~spl15_39 | ~spl15_51 | spl15_57, inference(sat_conversion,[],[f1608])).
% 0.80/0.41 cnf(s173, plain, spl15_1 | ~spl15_10 | ~spl15_54 | ~spl15_55, inference(sat_conversion,[],[f1609])).
% 0.80/0.41 cnf(s175, plain, ~spl15_50 | spl15_54 | spl15_57, inference(sat_conversion,[],[f1614])).
% 0.80/0.41 cnf(s176, plain, spl15_58 | ~spl15_62 | ~spl15_65, inference(sat_conversion,[],[f1619])).
% 0.80/0.41 cnf(s180, plain, spl15_1 | ~spl15_10 | ~spl15_98 | ~spl15_100, inference(sat_conversion,[],[f1631])).
% 0.80/0.41 cnf(s181, plain, spl15_66 | ~spl15_99 | spl15_104, inference(sat_conversion,[],[f1633])).
% 0.80/0.41 cnf(s183, plain, spl15_56 | ~spl15_100 | spl15_104, inference(sat_conversion,[],[f1638])).
% 0.80/0.41 cnf(s184, plain, spl15_1 | ~spl15_10 | ~spl15_63 | ~spl15_65 | ~spl15_99 | ~spl15_104, inference(sat_conversion,[],[f1639])).
% 0.80/0.41 cnf(s188, plain, spl15_1 | ~spl15_10 | ~spl15_62 | ~spl15_64, inference(sat_conversion,[],[f1643])).
% 0.80/0.41 cnf(s189, plain, spl15_1 | ~spl15_10 | ~spl15_58 | ~spl15_64 | ~spl15_65, inference(sat_conversion,[],[f1644])).
% 0.80/0.41 cnf(s192, plain, spl15_1 | ~spl15_10 | ~spl15_61 | ~spl15_65 | ~spl15_68, inference(sat_conversion,[],[f1647])).
% 0.80/0.41 cnf(s194, plain, spl15_1 | ~spl15_10 | ~spl15_44 | ~spl15_52 | ~spl15_80 | ~spl15_82, inference(sat_conversion,[],[f1649])).
% 0.80/0.41 cnf(s195, plain, spl15_47 | ~spl15_52 | ~spl15_80 | ~spl15_82, inference(sat_conversion,[],[f1650])).
% 0.80/0.41 cnf(s197, plain, ~spl15_44 | ~spl15_52 | spl15_79 | ~spl15_82, inference(sat_conversion,[],[f1652])).
% 0.80/0.41 cnf(s198, plain, spl15_1 | ~spl15_10 | ~spl15_47 | ~spl15_52 | ~spl15_85, inference(sat_conversion,[],[f1653])).
% 0.80/0.41 cnf(s199, plain, spl15_44 | ~spl15_52 | ~spl15_85, inference(sat_conversion,[],[f1654])).
% 0.80/0.41 cnf(s201, plain, spl15_1 | ~spl15_10 | ~spl15_45 | ~spl15_52 | ~spl15_103, inference(sat_conversion,[],[f1656])).
% 0.80/0.41 cnf(s203, plain, spl15_1 | ~spl15_10 | ~spl15_45 | ~spl15_52 | ~spl15_100 | ~spl15_104, inference(sat_conversion,[],[f1658])).
% 0.80/0.41 cnf(s204, plain, spl15_46 | ~spl15_52 | ~spl15_100 | ~spl15_104, inference(sat_conversion,[],[f1659])).
% 0.80/0.41 cnf(s207, plain, spl15_1 | ~spl15_10 | ~spl15_53 | ~spl15_56, inference(sat_conversion,[],[f1662])).
% 0.80/0.41 cnf(s208, plain, spl15_1 | ~spl15_10 | ~spl15_99 | ~spl15_101, inference(sat_conversion,[],[f1663])).
% 0.80/0.41 cnf(s209, plain, spl15_1 | ~spl15_10 | ~spl15_61 | ~spl15_65 | ~spl15_101 | ~spl15_104, inference(sat_conversion,[],[f1664])).
% 0.80/0.41 cnf(s211, plain, spl15_68 | ~spl15_101 | ~spl15_104, inference(sat_conversion,[],[f1666])).
% 0.80/0.41 cnf(s216, plain, spl15_1 | ~spl15_10 | ~spl15_70 | ~spl15_74 | ~spl15_103, inference(sat_conversion,[],[f1671])).
% 0.80/0.41 cnf(s217, plain, spl15_1 | ~spl15_10 | ~spl15_75 | ~spl15_103, inference(sat_conversion,[],[f1672])).
% 0.80/0.41 cnf(s218, plain, spl15_59 | ~spl15_80 | ~spl15_82, inference(sat_conversion,[],[f1681])).
% 0.80/0.41 cnf(s219, plain, ~spl15_61 | ~spl15_65 | spl15_83, inference(sat_conversion,[],[f1682])).
% 0.80/0.41 cnf(s220, plain, ~spl15_64 | ~spl15_65 | spl15_84, inference(sat_conversion,[],[f1683])).
% 0.80/0.41 cnf(s221, plain, spl15_79 | ~spl15_82 | ~spl15_85, inference(sat_conversion,[],[f1684])).
% 0.80/0.41 cnf(s222, plain, ~spl15_68 | spl15_81 | ~spl15_82, inference(sat_conversion,[],[f1685])).
% 0.80/0.41 cnf(s224, plain, spl15_63 | ~spl15_65 | ~spl15_68, inference(sat_conversion,[],[f1687])).
% 0.80/0.41 cnf(s228, plain, spl15_83 | ~spl15_99 | ~spl15_104, inference(sat_conversion,[],[f1694])).
% 0.80/0.41 cnf(s229, plain, ~spl15_100 | spl15_103 | ~spl15_104, inference(sat_conversion,[],[f1695])).
% 0.80/0.41 cnf(s231, plain, spl15_46 | spl15_52 | ~spl15_56, inference(sat_conversion,[],[f1699])).
% 0.80/0.41 cnf(s236, plain, ~spl15_53 | spl15_87 | spl15_91, inference(sat_conversion,[],[f1711])).
% 0.80/0.41 cnf(s237, plain, spl15_1 | ~spl15_10 | ~spl15_87 | ~spl15_91 | ~spl15_103, inference(sat_conversion,[],[f1712])).
% 0.80/0.41 cnf(s240, plain, ~spl15_41 | ~spl15_71 | spl15_74, inference(sat_conversion,[],[f1718])).
% 0.80/0.41 cnf(s241, plain, spl15_1 | ~spl15_10 | ~spl15_70 | ~spl15_73, inference(sat_conversion,[],[f1719])).
% 0.80/0.41 cnf(s246, plain, spl15_46 | ~spl15_52 | ~spl15_103, inference(sat_conversion,[],[f1736])).
% 0.80/0.41 cnf(s247, plain, ~spl15_47 | ~spl15_52 | spl15_59, inference(sat_conversion,[],[f1737])).
% 0.80/0.41 cnf(s248, plain, ~spl15_45 | ~spl15_52 | spl15_75, inference(sat_conversion,[],[f1738])).
% 0.80/0.41 cnf(s250, plain, spl15_75 | ~spl15_87 | ~spl15_91, inference(sat_conversion,[],[f1743])).
% 0.80/0.41 cnf(s251, plain, ~spl15_8 | ~spl15_105, inference(sat_conversion,[],[f1842])).
% 0.80/0.41 cnf(s254, plain, spl15_105 | spl15_106 | spl15_107, inference(sat_conversion,[],[f1897])).
% 0.80/0.41 cnf(s255, plain, spl15_105 | spl15_108 | spl15_109, inference(sat_conversion,[],[f1906])).
% 0.80/0.41 cnf(s256, plain, ~spl15_54 | ~spl15_107 | spl15_110, inference(sat_conversion,[],[f1914])).
% 0.80/0.41 cnf(s257, plain, spl15_1 | ~spl15_10 | ~spl15_106 | ~spl15_108, inference(sat_conversion,[],[f1915])).
% 0.80/0.41 cnf(s258, plain, ~spl15_41 | ~spl15_106 | spl15_110, inference(sat_conversion,[],[f1919])).
% 0.80/0.41 cnf(s259, plain, spl15_1 | ~spl15_10 | ~spl15_107 | ~spl15_109, inference(sat_conversion,[],[f1920])).
% 0.80/0.41 cnf(s260, plain, spl15_1 | ~spl15_10 | ~spl15_47 | ~spl15_52 | ~spl15_107 | ~spl15_110, inference(sat_conversion,[],[f1921])).
% 0.80/0.41 cnf(s262, plain, spl15_85 | ~spl15_107 | ~spl15_110, inference(sat_conversion,[],[f1923])).
% 0.80/0.41 cnf(s269, plain, ~spl15_45 | ~spl15_52 | spl15_70 | ~spl15_74, inference(sat_conversion,[],[f1930])).
% 0.80/0.41 cnf(s271, plain, spl15_1 | ~spl15_10 | ~spl15_71 | ~spl15_74 | ~spl15_76, inference(sat_conversion,[],[f1932])).
% 0.80/0.41 cnf(s275, plain, spl15_76 | ~spl15_108 | ~spl15_110, inference(sat_conversion,[],[f1936])).
% 0.80/0.41 cnf(s277, plain, spl15_1 | ~spl15_10 | ~spl15_44 | ~spl15_52 | ~spl15_109 | ~spl15_110, inference(sat_conversion,[],[f1938])).
% 0.80/0.41 cnf(s279, plain, spl15_59 | ~spl15_109 | ~spl15_110, inference(sat_conversion,[],[f1940])).
% 0.80/0.41 cnf(s280, plain, ~spl15_44 | ~spl15_52 | spl15_107 | ~spl15_110, inference(sat_conversion,[],[f1941])).
% 0.80/0.41 cnf(s283, plain, spl15_76 | ~spl15_96 | ~spl15_102, inference(sat_conversion,[],[f1944])).
% 0.80/0.41 cnf(s284, plain, ~spl15_71 | ~spl15_74 | spl15_93 | ~spl15_102, inference(sat_conversion,[],[f1945])).
% 0.80/0.41 cnf(s287, plain, spl15_75 | ~spl15_98 | ~spl15_104, inference(sat_conversion,[],[f1948])).
% 0.80/0.41 cnf(s289, plain, spl15_1 | ~spl15_10 | ~spl15_78 | ~spl15_81, inference(sat_conversion,[],[f1950])).
% 0.80/0.41 cnf(s291, plain, spl15_83 | ~spl15_94 | ~spl15_102, inference(sat_conversion,[],[f1952])).
% 0.80/0.41 cnf(s292, plain, ~spl15_68 | spl15_95 | ~spl15_102, inference(sat_conversion,[],[f1953])).
% 0.80/0.41 cnf(s296, plain, spl15_1 | ~spl15_10 | ~spl15_36 | ~spl15_38, inference(sat_conversion,[],[f1957])).
% 0.80/0.41 cnf(s302, plain, ~spl15_38 | ~spl15_39 | spl15_40, inference(sat_conversion,[],[f1974])).
% 0.80/0.41 cnf(s317, plain, spl15_68 | ~spl15_95 | ~spl15_102, inference(sat_conversion,[],[f1988])).
% 0.80/0.41 cnf(s319, plain, ~spl15_78 | ~spl15_82 | spl15_94 | ~spl15_102, inference(sat_conversion,[],[f1990])).
% 0.80/0.41 cnf(s321, plain, spl15_47 | ~spl15_50 | ~spl15_52 | ~spl15_57, inference(sat_conversion,[],[f1992])).
% 0.80/0.41 cnf(s325, plain, spl15_1 | ~spl15_10 | ~spl15_68 | ~spl15_83, inference(sat_conversion,[],[f1996])).
% 0.80/0.41 cnf(s326, plain, spl15_1 | ~spl15_10 | ~spl15_41 | ~spl15_111, inference(sat_conversion,[],[f1997])).
% 0.80/0.41 cnf(s328, plain, spl15_48 | ~spl15_57 | ~spl15_85, inference(sat_conversion,[],[f2007])).
% 0.80/0.41 cnf(s329, plain, ~spl15_73 | ~spl15_74 | spl15_103, inference(sat_conversion,[],[f2008])).
% 0.80/0.41 cnf(s332, plain, ~spl15_71 | ~spl15_74 | spl15_112, inference(sat_conversion,[],[f2014])).
% 0.80/0.41 cnf(s333, plain, spl15_70 | ~spl15_74 | ~spl15_75, inference(sat_conversion,[],[f2015])).
% 0.80/0.41 cnf(s338, plain, ~spl15_37 | spl15_40 | spl15_41, inference(sat_conversion,[],[f2030])).
% 0.80/0.41 cnf(s341, plain, spl15_44 | spl15_52 | ~spl15_55, inference(sat_conversion,[],[f2036])).
% 0.80/0.41 cnf(s345, plain, ~spl15_63 | spl15_65 | spl15_67, inference(sat_conversion,[],[f2046])).
% 0.80/0.41 cnf(s347, plain, ~spl15_44 | spl15_52 | spl15_55, inference(sat_conversion,[],[f2050])).
% 0.80/0.41 cnf(s349, plain, ~spl15_46 | spl15_52 | spl15_56, inference(sat_conversion,[],[f2054])).
% 0.80/0.41 cnf(s352, plain, spl15_1 | ~spl15_10 | ~spl15_72 | ~spl15_74 | ~spl15_112, inference(sat_conversion,[],[f2059])).
% 0.80/0.41 cnf(s355, plain, spl15_73 | ~spl15_74 | ~spl15_103, inference(sat_conversion,[],[f2066])).
% 0.80/0.41 cnf(s365, plain, spl15_54 | ~spl15_80 | spl15_82, inference(sat_conversion,[],[f2080])).
% 0.80/0.41 cnf(s369, plain, spl15_47 | ~spl15_52 | ~spl15_59, inference(sat_conversion,[],[f2094])).
% 0.80/0.41 cnf(s372, plain, ~spl15_44 | ~spl15_52 | spl15_85, inference(sat_conversion,[],[f2095])).
% 0.80/0.41 cnf(s379, plain, spl15_1 | ~spl15_10 | ~spl15_88 | ~spl15_90, inference(sat_conversion,[],[f2096])).
% 0.80/0.41 cnf(s391, plain, spl15_39 | ~spl15_88 | spl15_91, inference(sat_conversion,[],[f2126])).
% 0.80/0.41 cnf(s399, plain, spl15_39 | ~spl15_49 | spl15_57, inference(sat_conversion,[],[f2139])).
% 0.80/0.41 cnf(s401, plain, ~spl15_37 | ~spl15_40 | spl15_76, inference(sat_conversion,[],[f2148])).
% 0.80/0.41 cnf(s402, plain, spl15_38 | ~spl15_40 | ~spl15_84, inference(sat_conversion,[],[f2149])).
% 0.80/0.41 cnf(s406, plain, ~spl15_36 | ~spl15_40 | spl15_58, inference(sat_conversion,[],[f2150])).
% 0.80/0.41 cnf(s407, plain, spl15_35 | ~spl15_40 | ~spl15_112, inference(sat_conversion,[],[f2151])).
% 0.80/0.41 cnf(s410, plain, ~spl15_48 | spl15_55 | spl15_57, inference(sat_conversion,[],[f2155])).
% 0.80/0.41 cnf(s413, plain, spl15_39 | ~spl15_62 | spl15_65, inference(sat_conversion,[],[f2162])).
% 0.80/0.41 cnf(s416, plain, spl15_55 | ~spl15_79 | spl15_82, inference(sat_conversion,[],[f2168])).
% 0.80/0.41 cnf(s418, plain, spl15_67 | ~spl15_81 | spl15_82, inference(sat_conversion,[],[f2172])).
% 0.80/0.41 cnf(s419, plain, spl15_53 | ~spl15_87 | spl15_91, inference(sat_conversion,[],[f2174])).
% 0.80/0.41 cnf(s422, plain, ~spl15_93 | spl15_102 | spl15_111, inference(sat_conversion,[],[f2182])).
% 0.80/0.41 cnf(s424, plain, spl15_67 | ~spl15_95 | spl15_102, inference(sat_conversion,[],[f2187])).
% 0.80/0.41 cnf(s425, plain, spl15_53 | ~spl15_98 | spl15_104, inference(sat_conversion,[],[f2189])).
% 0.80/0.41 cnf(s426, plain, spl15_61 | ~spl15_65 | ~spl15_83, inference(sat_conversion,[],[f2191])).
% 0.80/0.41 cnf(s428, plain, spl15_67 | ~spl15_101 | spl15_104, inference(sat_conversion,[],[f2195])).
% 0.80/0.41 cnf(s429, plain, spl15_55 | ~spl15_107 | spl15_110, inference(sat_conversion,[],[f2197])).
% 0.80/0.41 cnf(s431, plain, spl15_41 | ~spl15_108 | spl15_110, inference(sat_conversion,[],[f2201])).
% 0.80/0.41 cnf(s434, plain, spl15_54 | ~spl15_109 | spl15_110, inference(sat_conversion,[],[f2207])).
% 0.80/0.41 cnf(s437, plain, spl15_37 | ~spl15_40 | ~spl15_76, inference(sat_conversion,[],[f2224])).
% 0.80/0.41 cnf(s444, plain, spl15_36 | ~spl15_40 | ~spl15_58, inference(sat_conversion,[],[f2225])).
% 0.80/0.41 cnf(s452, plain, spl15_54 | ~spl15_80 | spl15_82, inference(sat_conversion,[],[f2233])).
% 0.80/0.41 cnf(s456, plain, spl15_41 | ~spl15_96 | spl15_102, inference(sat_conversion,[],[f2243])).
% 0.80/0.41 cnf(s457, plain, spl15_1 | ~spl15_10 | ~spl15_76 | ~spl15_106 | ~spl15_110, inference(sat_conversion,[],[f2244])).
% 0.80/0.41 cnf(s460, plain, spl15_1 | ~spl15_10 | ~spl15_76 | ~spl15_93 | ~spl15_102, inference(sat_conversion,[],[f2247])).
% 0.80/0.41 cnf(s463, plain, ~spl15_35 | spl15_40 | spl15_111, inference(sat_conversion,[],[f2251])).
% 0.80/0.41 cnf(s466, plain, ~spl15_45 | spl15_52 | spl15_53, inference(sat_conversion,[],[f2258])).
% 0.80/0.41 cnf(s468, plain, ~spl15_47 | spl15_52 | spl15_54, inference(sat_conversion,[],[f2262])).
% 0.80/0.41 cnf(s469, plain, ~spl15_61 | spl15_65 | spl15_66, inference(sat_conversion,[],[f2264])).
% 0.80/0.41 cnf(s474, plain, spl15_56 | ~spl15_73 | spl15_74, inference(sat_conversion,[],[f2275])).
% 0.80/0.41 cnf(s475, plain, spl15_53 | ~spl15_70 | spl15_74, inference(sat_conversion,[],[f2278])).
% 0.80/0.41 cnf(s477, plain, spl15_41 | ~spl15_72 | spl15_74, inference(sat_conversion,[],[f2285])).
% 0.80/0.41 cnf(s481, plain, ~spl15_71 | spl15_56 | spl15_112 | spl15_69, inference(rat,[],[s96,s474,s158,s332,s42,s20])).
% 0.80/0.41 cnf(s482, plain, ~spl15_79 | spl15_55 | spl15_85, inference(rat,[],[s122,s416])).
% 0.80/0.41 cnf(s484, plain, ~spl15_94 | spl15_83 | spl15_41 | spl15_92, inference(rat,[],[s137,s456,s146,s291,s42,s20])).
% 0.80/0.41 cnf(s485, plain, spl15_83 | ~spl15_78 | spl15_41 | ~spl15_76 | spl15_92, inference(rat,[],[s424,s137,s460,s138,s136,s484,s105,s108,s42,s20])).
% 0.80/0.41 cnf(s486, plain, spl15_61 | ~spl15_83 | spl15_39 | spl15_60, inference(rat,[],[s413,s426,s84])).
% 0.80/0.41 cnf(s487, plain, ~spl15_100 | spl15_103 | spl15_56, inference(rat,[],[s183,s229])).
% 0.80/0.41 cnf(s488, plain, spl15_52 | spl15_85 | spl15_44 | spl15_41 | ~spl15_76 | spl15_112 | spl15_84 | spl15_39 | ~spl15_8, inference(rat,[],[s211,s428,s141,s487,s93,s469,s220,s85,s89,s486,s325,s485,s103,s482,s355,s477,s96,s241,s95,s481,s231,s341,s139,s134,s100,s94,s81,s71,s62,s58,s42,s20])).
% 0.80/0.41 cnf(s489, plain, ~spl15_101 | spl15_68 | spl15_67, inference(rat,[],[s211,s428])).
% 0.80/0.41 cnf(s490, plain, ~spl15_87 | spl15_53 | ~spl15_58 | spl15_86, inference(rat,[],[s130,s153,s155,s419,s42,s20])).
% 0.80/0.41 cnf(s491, plain, spl15_87 | ~spl15_75 | spl15_39 | spl15_86, inference(rat,[],[s391,s166,s129])).
% 0.80/0.41 cnf(s492, plain, spl15_67 | ~spl15_101 | spl15_41 | ~spl15_76 | spl15_92, inference(rat,[],[s424,s137,s460,s138,s136,s484,s325,s489,s42,s20])).
% 0.80/0.41 cnf(s493, plain, ~spl15_61 | spl15_66 | spl15_84 | spl15_60, inference(rat,[],[s220,s85,s469,s89,s42,s20])).
% 0.80/0.41 cnf(s494, plain, ~spl15_107 | spl15_85 | spl15_41 | spl15_105, inference(rat,[],[s255,s431,s259,s262,s42,s20])).
% 0.80/0.41 cnf(s495, plain, spl15_85 | spl15_44 | spl15_41 | ~spl15_58 | ~spl15_76 | spl15_112 | spl15_84 | spl15_39 | ~spl15_8, inference(rat,[],[s434,s255,s457,s257,s254,s494,s173,s482,s103,s485,s486,s493,s93,s492,s141,s487,s207,s490,s491,s201,s248,s488,s251,s139,s134,s126,s100,s81,s62,s58,s42,s20])).
% 0.80/0.41 cnf(s496, plain, spl15_48 | ~spl15_85 | spl15_39 | spl15_43, inference(rat,[],[s399,s328,s65])).
% 0.80/0.41 cnf(s497, plain, spl15_44 | spl15_41 | ~spl15_58 | ~spl15_76 | spl15_112 | spl15_84 | spl15_39 | ~spl15_8, inference(rat,[],[s120,s66,s410,s67,s496,s341,s199,s495,s61,s42,s20])).
% 0.80/0.41 cnf(s498, plain, spl15_85 | ~spl15_44 | spl15_41 | ~spl15_76 | spl15_105, inference(rat,[],[s434,s255,s457,s257,s173,s254,s347,s494,s372,s42,s20])).
% 0.80/0.41 cnf(s499, plain, ~spl15_70 | spl15_75 | spl15_41 | spl15_69, inference(rat,[],[s477,s96,s98,s241,s42,s20])).
% 0.80/0.41 cnf(s500, plain, ~spl15_98 | spl15_53 | spl15_75, inference(rat,[],[s287,s425])).
% 0.80/0.41 cnf(s501, plain, spl15_83 | ~spl15_99 | spl15_41 | ~spl15_76 | spl15_92, inference(rat,[],[s181,s228,s93,s424,s137,s460,s138,s136,s484,s42,s20])).
% 0.80/0.41 cnf(s502, plain, spl15_78 | spl15_67 | ~spl15_83 | spl15_77, inference(rat,[],[s104,s418,s109,s125,s103,s42,s20])).
% 0.80/0.41 cnf(s503, plain, ~spl15_52 | ~spl15_55 | spl15_47 | spl15_41 | ~spl15_76 | spl15_112 | spl15_84 | spl15_39 | ~spl15_8, inference(rat,[],[s106,s218,s104,s289,s502,s93,s493,s486,s501,s140,s500,s207,s481,s95,s499,s169,s369,s139,s134,s100,s94,s81,s71,s63,s58,s42,s20])).
% 0.80/0.41 cnf(s504, plain, spl15_41 | ~spl15_58 | ~spl15_76 | spl15_112 | spl15_84 | spl15_39 | ~spl15_8, inference(rat,[],[s221,s106,s109,s104,s289,s502,s93,s493,s486,s501,s140,s500,s491,s490,s74,s503,s410,s120,s66,s67,s496,s498,s71,s63,s64,s497,s251,s139,s134,s126,s100,s81,s61,s58,s42,s20])).
% 0.80/0.41 cnf(s505, plain, ~spl15_93 | spl15_111 | ~spl15_76, inference(rat,[],[s422,s460,s42,s20])).
% 0.80/0.41 cnf(s506, plain, ~spl15_79 | spl15_85 | spl15_67 | spl15_77, inference(rat,[],[s104,s418,s109,s122,s42,s20])).
% 0.80/0.41 cnf(s507, plain, ~spl15_107 | spl15_55 | spl15_85, inference(rat,[],[s262,s429])).
% 0.80/0.41 cnf(s508, plain, ~spl15_106 | ~spl15_41 | ~spl15_76, inference(rat,[],[s457,s258,s42,s20])).
% 0.80/0.41 cnf(s509, plain, spl15_85 | spl15_67 | spl15_83 | ~spl15_107 | spl15_77, inference(rat,[],[s104,s452,s108,s289,s256,s103,s262,s506,s42,s20])).
% 0.80/0.41 cnf(s510, plain, ~spl15_98 | spl15_75 | spl15_67 | spl15_97, inference(rat,[],[s141,s428,s180,s287,s42,s20])).
% 0.80/0.41 cnf(s511, plain, ~spl15_70 | ~spl15_56 | spl15_75, inference(rat,[],[s98,s97])).
% 0.80/0.41 cnf(s512, plain, ~spl15_71 | ~spl15_41 | spl15_112, inference(rat,[],[s240,s332])).
% 0.80/0.41 cnf(s513, plain, spl15_83 | ~spl15_52 | ~spl15_70 | ~spl15_107 | ~spl15_94 | ~spl15_8, inference(rat,[],[s183,s141,s228,s208,s140,s511,s510,s159,s63,s198,s509,s147,s291,s139,s100,s58,s42,s20])).
% 0.80/0.41 cnf(s514, plain, ~spl15_45 | ~spl15_100 | ~spl15_52 | ~spl15_58 | spl15_39 | spl15_86, inference(rat,[],[s207,s490,s487,s491,s201,s248,s42,s20])).
% 0.80/0.41 cnf(s515, plain, ~spl15_52 | ~spl15_70 | ~spl15_107 | ~spl15_94 | ~spl15_58 | spl15_84 | spl15_39 | ~spl15_8, inference(rat,[],[s120,s66,s410,s67,s106,s496,s194,s372,s62,s514,s104,s141,s289,s489,s502,s93,s493,s486,s325,s513,s139,s126,s100,s81,s61,s58,s42,s20])).
% 0.80/0.41 cnf(s516, plain, ~spl15_46 | spl15_52 | ~spl15_70 | ~spl15_58 | spl15_39 | spl15_86, inference(rat,[],[s491,s490,s511,s74,s349,s71,s42,s20])).
% 0.80/0.41 cnf(s517, plain, spl15_39 | spl15_35 | ~spl15_8, inference(rat,[],[s120,s66,s410,s67,s496,s507,s341,s64,s63,s516,s515,s95,s512,s254,s508,s136,s505,s326,s504,s406,s401,s407,s402,s55,s251,s134,s126,s94,s61,s58,s53,s296,s52,s45,s42,s20])).
% 0.80/0.41 cnf(s518, plain, ~spl15_90 | spl15_84 | ~spl15_39, inference(rat,[],[s132,s154])).
% 0.80/0.41 cnf(s519, plain, ~spl15_101 | spl15_68 | spl15_53 | spl15_97, inference(rat,[],[s425,s140,s211,s208,s42,s20])).
% 0.80/0.41 cnf(s520, plain, ~spl15_93 | spl15_67 | ~spl15_76 | spl15_92, inference(rat,[],[s424,s137,s460,s138,s42,s20])).
% 0.80/0.41 cnf(s521, plain, spl15_61 | spl15_67 | ~spl15_83 | spl15_60, inference(rat,[],[s85,s345,s188,s426,s84,s42,s20])).
% 0.80/0.41 cnf(s522, plain, ~spl15_64 | spl15_84 | ~spl15_39, inference(rat,[],[s87,s220])).
% 0.80/0.41 cnf(s523, plain, spl15_85 | ~spl15_79 | ~spl15_76 | spl15_41 | spl15_105, inference(rat,[],[s255,s434,s457,s257,s173,s254,s482,s494,s42,s20])).
% 0.80/0.41 cnf(s524, plain, spl15_83 | ~spl15_52 | ~spl15_76 | spl15_112 | spl15_41 | ~spl15_8, inference(rat,[],[s481,s207,s95,s500,s499,s159,s63,s198,s523,s140,s103,s501,s485,s251,s139,s134,s100,s94,s58,s42,s20])).
% 0.80/0.41 cnf(s525, plain, ~spl15_45 | spl15_66 | spl15_68 | ~spl15_52 | spl15_87 | spl15_97, inference(rat,[],[s181,s140,s204,s180,s141,s519,s236,s166,s248,s71,s42,s20])).
% 0.80/0.41 cnf(s526, plain, spl15_48 | spl15_54 | ~spl15_85 | spl15_43, inference(rat,[],[s66,s175,s113,s328,s65,s42,s20])).
% 0.80/0.41 cnf(s527, plain, ~spl15_51 | spl15_84 | ~spl15_39, inference(rat,[],[s120,s171])).
% 0.80/0.41 cnf(s528, plain, spl15_78 | spl15_55 | ~spl15_83 | spl15_77, inference(rat,[],[s416,s125,s103])).
% 0.80/0.41 cnf(s529, plain, ~spl15_52 | ~spl15_50 | spl15_61 | spl15_87 | ~spl15_76 | spl15_112 | spl15_41 | ~spl15_8, inference(rat,[],[s195,s104,s105,s289,s528,s173,s175,s321,s64,s62,s525,s93,s521,s325,s524,s139,s100,s81,s58,s42,s20])).
% 0.80/0.41 cnf(s530, plain, ~spl15_45 | spl15_52 | spl15_87 | spl15_112 | spl15_41 | spl15_69, inference(rat,[],[s499,s95,s166,s481,s236,s231,s466,s71,s42,s20])).
% 0.80/0.41 cnf(s531, plain, spl15_41 | spl15_35 | ~spl15_8, inference(rat,[],[s173,s526,s347,s498,s62,s530,s529,s67,s66,s527,s89,s85,s522,s155,s130,s518,s401,s407,s402,s338,s251,s126,s94,s81,s61,s58,s53,s296,s52,s45,s517,s42,s20])).
% 0.80/0.41 cnf(s532, plain, ~spl15_52 | spl15_48 | spl15_61 | spl15_87 | ~spl15_94 | ~spl15_107 | ~spl15_70 | ~spl15_8, inference(rat,[],[s195,s104,s105,s289,s528,s173,s526,s372,s64,s62,s525,s93,s521,s325,s513,s139,s100,s81,s61,s58,s42,s20])).
% 0.80/0.41 cnf(s533, plain, spl15_83 | spl15_52 | spl15_48 | spl15_87 | ~spl15_94 | ~spl15_107 | ~spl15_8, inference(rat,[],[s183,s141,s228,s208,s140,s510,s166,s236,s231,s466,s71,s62,s347,s173,s526,s509,s147,s291,s139,s100,s61,s58,s42,s20])).
% 0.80/0.41 cnf(s534, plain, ~spl15_46 | spl15_66 | spl15_68 | spl15_52 | ~spl15_70 | spl15_97, inference(rat,[],[s181,s140,s229,s180,s141,s217,s519,s511,s74,s349,s71,s42,s20])).
% 0.80/0.41 cnf(s536, plain, ~spl15_71 | ~spl15_76 | ~spl15_41, inference(rat,[],[s271,s240,s42,s20])).
% 0.80/0.41 cnf(s537, plain, ~spl15_50 | spl15_58 | spl15_54 | spl15_43, inference(rat,[],[s79,s65,s175,s67,s42,s20])).
% 0.80/0.41 cnf(s538, plain, spl15_85 | spl15_66 | spl15_68 | ~spl15_52 | ~spl15_107 | ~spl15_39 | ~spl15_8, inference(rat,[],[s171,s124,s66,s537,s153,s132,s130,s247,s155,s63,s525,s71,s256,s62,s262,s372,s139,s126,s61,s58,s42,s20])).
% 0.80/0.41 cnf(s539, plain, ~spl15_87 | spl15_75 | ~spl15_39 | spl15_86, inference(rat,[],[s130,s132,s155,s250,s42,s20])).
% 0.80/0.41 cnf(s540, plain, spl15_61 | ~spl15_52 | ~spl15_70 | ~spl15_94 | ~spl15_107 | ~spl15_39 | ~spl15_8, inference(rat,[],[s527,s66,s168,s67,s379,s236,s532,s129,s539,s475,s216,s159,s170,s63,s198,s538,s93,s521,s126,s81,s61,s58,s325,s513,s42,s20])).
% 0.80/0.41 cnf(s541, plain, ~spl15_46 | spl15_58 | ~spl15_52 | ~spl15_70 | ~spl15_39 | spl15_86, inference(rat,[],[s167,s236,s129,s475,s539,s216,s159,s170,s42,s20])).
% 0.80/0.41 cnf(s542, plain, ~spl15_52 | ~spl15_70 | ~spl15_94 | ~spl15_107 | ~spl15_39 | ~spl15_8, inference(rat,[],[s171,s124,s66,s537,s256,s260,s247,s63,s541,s189,s87,s85,s89,s540,s126,s81,s61,s58,s42,s20])).
% 0.80/0.41 cnf(s543, plain, spl15_83 | ~spl15_62 | spl15_48 | spl15_52 | ~spl15_94 | ~spl15_107 | ~spl15_39 | ~spl15_8, inference(rat,[],[s152,s518,s176,s130,s345,s155,s147,s533,s291,s126,s85,s188,s81,s42,s20])).
% 0.80/0.41 cnf(s544, plain, spl15_61 | spl15_48 | ~spl15_70 | ~spl15_94 | ~spl15_107 | ~spl15_39 | ~spl15_8, inference(rat,[],[s109,s221,s104,s105,s289,s528,s507,s341,s64,s63,s534,s93,s521,s325,s543,s84,s139,s100,s81,s58,s542,s42,s20])).
% 0.80/0.41 cnf(s545, plain, ~spl15_50 | ~spl15_70 | ~spl15_94 | ~spl15_107 | ~spl15_39 | ~spl15_8, inference(rat,[],[s167,s236,s129,s539,s217,s487,s141,s489,s105,s221,s109,s231,s104,s466,s71,s289,s62,s528,s507,s347,s173,s537,s192,s219,s189,s87,s85,s89,s544,s67,s139,s126,s100,s81,s61,s58,s542,s42,s20])).
% 0.80/0.41 cnf(s546, plain, ~spl15_67 | spl15_59 | spl15_52 | ~spl15_70 | ~spl15_94 | ~spl15_8, inference(rat,[],[s218,s104,s105,s289,s528,s341,s64,s63,s534,s292,s291,s147,s93,s139,s100,s58,s146,s42,s20])).
% 0.80/0.41 cnf(s547, plain, ~spl15_62 | spl15_67 | ~spl15_57 | ~spl15_51 | spl15_60, inference(rat,[],[s345,s85,s148,s188,s42,s20])).
% 0.80/0.41 cnf(s548, plain, ~spl15_76 | spl15_35 | ~spl15_8, inference(rat,[],[s167,s236,s129,s539,s217,s487,s231,s466,s71,s62,s347,s106,s218,s104,s141,s289,s489,s502,s192,s219,s87,s85,s89,s84,s547,s546,s124,s114,s171,s66,s545,s542,s95,s536,s136,s254,s505,s508,s251,s139,s134,s126,s100,s94,s81,s61,s58,s517,s326,s531,s42,s20])).
% 0.80/0.41 cnf(s549, plain, ~spl15_70 | spl15_53 | spl15_76 | spl15_69, inference(rat,[],[s99,s96,s475,s241,s42,s20])).
% 0.80/0.41 cnf(s550, plain, spl15_54 | ~spl15_50 | ~spl15_52 | spl15_35 | ~spl15_8, inference(rat,[],[s240,s269,s95,s549,s236,s165,s155,s130,s201,s518,s62,s152,s372,s537,s526,s126,s94,s61,s58,s517,s531,s548,s67,s42,s20])).
% 0.80/0.41 cnf(s551, plain, ~spl15_107 | ~spl15_54 | spl15_76 | spl15_105, inference(rat,[],[s275,s255,s256,s259,s42,s20])).
% 0.80/0.41 cnf(s552, plain, spl15_94 | ~spl15_82 | ~spl15_78 | spl15_111 | spl15_92, inference(rat,[],[s422,s319,s136])).
% 0.80/0.41 cnf(s553, plain, ~spl15_67 | ~spl15_78 | spl15_76 | spl15_111 | spl15_92, inference(rat,[],[s283,s137,s147,s146,s552,s105,s42,s20])).
% 0.80/0.41 cnf(s554, plain, ~spl15_89 | ~spl15_53 | spl15_103, inference(rat,[],[s236,s165,s155,s42,s20])).
% 0.80/0.41 cnf(s555, plain, ~spl15_62 | spl15_58 | spl15_67 | spl15_60, inference(rat,[],[s345,s85,s176,s188,s42,s20])).
% 0.80/0.41 cnf(s556, plain, ~spl15_53 | spl15_67 | spl15_103 | ~spl15_39 | ~spl15_8, inference(rat,[],[s87,s85,s209,s89,s84,s555,s153,s132,s130,s554,s428,s141,s487,s207,s139,s126,s81,s42,s20])).
% 0.80/0.41 cnf(s557, plain, ~spl15_54 | ~spl15_52 | spl15_35 | ~spl15_8, inference(rat,[],[s240,s269,s95,s549,s556,s553,s103,s482,s201,s199,s62,s280,s258,s254,s551,s173,s251,s134,s100,s94,s58,s517,s326,s531,s548,s42,s20])).
% 0.80/0.41 cnf(s558, plain, ~spl15_93 | spl15_68 | spl15_111 | spl15_92, inference(rat,[],[s317,s137,s422,s138,s42,s20])).
% 0.80/0.42 cnf(s559, plain, ~spl15_67 | ~spl15_99 | ~spl15_74 | ~spl15_71 | spl15_111 | spl15_92, inference(rat,[],[s147,s284,s136,s558,s325,s228,s181,s93,s42,s20])).
% 0.80/0.42 cnf(s560, plain, ~spl15_52 | spl15_35 | ~spl15_8, inference(rat,[],[s452,s218,s104,s289,s502,s219,s87,s85,s89,s84,s547,s559,s140,s500,s236,s167,s240,s129,s95,s539,s541,s159,s63,s247,s124,s114,s171,s66,s550,s557,s139,s134,s126,s100,s94,s81,s61,s58,s517,s326,s531,s42,s20])).
% 0.80/0.42 cnf(s561, plain, ~spl15_79 | ~spl15_59 | spl15_55, inference(rat,[],[s119,s416,s109,s42,s20])).
% 0.80/0.42 cnf(s562, plain, ~spl15_53 | spl15_35 | ~spl15_8, inference(rat,[],[s184,s345,s85,s183,s522,s141,s168,s208,s379,s140,s236,s129,s510,s539,s217,s556,s553,s103,s561,s279,s255,s257,s258,s254,s551,s341,s468,s64,s63,s349,s207,s251,s139,s134,s126,s100,s81,s58,s517,s326,s531,s548,s560,s42,s20])).
% 0.80/0.42 cnf(s563, plain, spl15_78 | spl15_35 | ~spl15_8, inference(rat,[],[s87,s85,s219,s89,s84,s547,s171,s66,s67,s526,s506,s502,s103,s100,s81,s61,s517,s173,s347,s62,s466,s58,s560,s559,s140,s500,s333,s139,s240,s95,s549,s562,s548,s94,s326,s531,s134,s42,s20])).
% 0.80/0.42 cnf(s564, plain, spl15_35 | ~spl15_8, inference(rat,[],[s171,s124,s66,s537,s189,s87,s85,s89,s521,s218,s108,s452,s104,s289,s563,s559,s140,s500,s333,s173,s240,s347,s95,s62,s549,s466,s562,s560,s548,s326,s531,s517,s139,s134,s100,s94,s81,s61,s58,s42,s20])).
% 0.80/0.42 cnf(s565, plain, ~spl15_49 | spl15_58 | spl15_39, inference(rat,[],[s79,s399])).
% 0.80/0.42 cnf(s566, plain, ~spl15_70 | spl15_66 | ~spl15_76 | ~spl15_52 | spl15_41 | ~spl15_8, inference(rat,[],[s410,s123,s65,s565,s173,s434,s255,s152,s457,s257,s493,s254,s486,s494,s524,s198,s352,s63,s477,s159,s96,s499,s241,s251,s94,s81,s61,s58,s302,s437,s53,s54,s564,s45,s42,s20])).
% 0.80/0.42 cnf(s567, plain, spl15_61 | spl15_53 | ~spl15_76 | spl15_41 | ~spl15_8, inference(rat,[],[s491,s500,s490,s140,s176,s501,s413,s486,s84,s139,s134,s126,s81,s302,s437,s53,s54,s564,s45,s20,s42])).
% 0.80/0.42 cnf(s568, plain, ~spl15_87 | ~spl15_103 | ~spl15_56, inference(rat,[],[s131,s237,s42,s20])).
% 0.80/0.42 cnf(s569, plain, spl15_66 | ~spl15_76 | ~spl15_52 | spl15_41 | ~spl15_8, inference(rat,[],[s167,s391,s129,s568,s229,s181,s140,s180,s141,s519,s152,s224,s469,s493,s89,s567,s207,s474,s96,s158,s271,s95,s566,s139,s126,s94,s81,s302,s437,s53,s54,s564,s45,s42,s20])).
% 0.80/0.42 cnf(s570, plain, ~spl15_75 | ~spl15_76 | ~spl15_52 | spl15_41 | ~spl15_8, inference(rat,[],[s434,s173,s255,s410,s457,s257,s116,s254,s65,s494,s565,s198,s247,s514,s63,s169,s159,s251,s126,s61,s58,s302,s437,s53,s54,s564,s45,s141,s492,s93,s569,s134,s139,s42,s20])).
% 0.80/0.42 cnf(s571, plain, ~spl15_76 | ~spl15_52 | spl15_41 | ~spl15_8, inference(rat,[],[s167,s391,s114,s129,s66,s568,s474,s410,s67,s170,s96,s106,s496,s63,s158,s271,s194,s498,s64,s95,s62,s499,s248,s570,s104,s289,s502,s484,s136,s520,s93,s569,s302,s437,s251,s134,s126,s100,s94,s61,s58,s53,s54,s564,s45,s42,s20])).
% 0.80/0.42 cnf(s572, plain, ~spl15_72 | spl15_76 | spl15_41, inference(rat,[],[s99,s477])).
% 0.80/0.42 cnf(s573, plain, ~spl15_108 | spl15_76 | spl15_41, inference(rat,[],[s431,s275])).
% 0.80/0.42 cnf(s574, plain, ~spl15_44 | ~spl15_62 | spl15_39 | ~spl15_109 | ~spl15_52 | spl15_43, inference(rat,[],[s151,s410,s66,s173,s67,s434,s496,s277,s372,s413,s188,s42,s20])).
% 0.80/0.42 cnf(s575, plain, ~spl15_58 | spl15_66 | spl15_39 | ~spl15_109 | ~spl15_73 | ~spl15_52 | ~spl15_8, inference(rat,[],[s207,s490,s474,s491,s269,s248,s62,s574,s84,s493,s152,s126,s81,s61,s58,s241,s42,s20])).
% 0.80/0.42 cnf(s576, plain, ~spl15_62 | spl15_58 | spl15_39, inference(rat,[],[s176,s413])).
% 0.80/0.42 cnf(s577, plain, ~spl15_44 | ~spl15_83 | ~spl15_67 | ~spl15_109 | ~spl15_52 | spl15_77, inference(rat,[],[s195,s104,s105,s289,s528,s173,s434,s277,s64,s42,s20])).
% 0.80/0.42 cnf(s578, plain, ~spl15_67 | spl15_39 | ~spl15_109 | ~spl15_73 | ~spl15_52 | ~spl15_8, inference(rat,[],[s181,s140,s203,s180,s141,s519,s207,s474,s269,s62,s577,s219,s224,s469,s89,s84,s576,s575,s93,s139,s100,s81,s58,s241,s42,s20])).
% 0.80/0.42 cnf(s580, plain, ~spl15_44 | ~spl15_58 | spl15_39 | ~spl15_109 | ~spl15_52 | spl15_43, inference(rat,[],[s114,s410,s66,s173,s67,s434,s496,s277,s372,s42,s20])).
% 0.80/0.42 cnf(s581, plain, ~spl15_58 | spl15_39 | ~spl15_109 | ~spl15_73 | ~spl15_52 | ~spl15_8, inference(rat,[],[s207,s490,s474,s491,s269,s248,s62,s580,s126,s61,s58,s241,s42,s20])).
% 0.80/0.42 cnf(s582, plain, ~spl15_95 | spl15_68 | spl15_67, inference(rat,[],[s317,s424])).
% 0.80/0.42 cnf(s583, plain, ~spl15_96 | spl15_76 | spl15_41, inference(rat,[],[s283,s456])).
% 0.80/0.42 cnf(s584, plain, ~spl15_88 | spl15_58 | spl15_39, inference(rat,[],[s167,s391])).
% 0.80/0.42 cnf(s585, plain, ~spl15_74 | ~spl15_87 | spl15_83 | spl15_67 | ~spl15_73 | spl15_97, inference(rat,[],[s183,s141,s228,s208,s140,s568,s510,s329,s333,s241,s42,s20])).
% 0.80/0.42 cnf(s586, plain, spl15_39 | ~spl15_95 | ~spl15_109 | ~spl15_73 | ~spl15_52 | ~spl15_8, inference(rat,[],[s365,s104,s108,s289,s173,s103,s410,s506,s116,s198,s247,s63,s170,s568,s474,s585,s129,s584,s325,s582,s65,s565,s581,s578,s139,s126,s100,s61,s58,s42,s20])).
% 0.80/0.42 cnf(s587, plain, ~spl15_74 | ~spl15_67 | ~spl15_39 | ~spl15_109 | spl15_70 | ~spl15_52 | ~spl15_8, inference(rat,[],[s181,s228,s140,s500,s236,s167,s577,s129,s62,s539,s269,s333,s139,s126,s100,s58,s444,s302,s296,s53,s54,s564,s45,s93,s20,s42])).
% 0.80/0.42 cnf(s588, plain, spl15_50 | ~spl15_59 | ~spl15_39 | spl15_43, inference(rat,[],[s171,s124,s66])).
% 0.80/0.42 cnf(s589, plain, ~spl15_75 | spl15_53 | ~spl15_67 | ~spl15_39 | ~spl15_52 | ~spl15_8, inference(rat,[],[s181,s140,s203,s180,s141,s519,s222,s105,s289,s103,s561,s173,s537,s588,s247,s63,s169,s159,s139,s100,s61,s58,s444,s302,s296,s53,s54,s564,s45,s93,s42,s20])).
% 0.80/0.42 cnf(s590, plain, ~spl15_67 | ~spl15_39 | ~spl15_109 | ~spl15_73 | ~spl15_52 | ~spl15_8, inference(rat,[],[s181,s228,s577,s140,s62,s500,s248,s589,s207,s474,s587,s93,s139,s100,s58,s241,s42,s20])).
% 0.80/0.42 cnf(s591, plain, ~spl15_52 | spl15_41 | ~spl15_8, inference(rat,[],[s87,s85,s219,s89,s84,s325,s555,s582,s590,s444,s302,s586,s137,s583,s255,s573,s96,s572,s571,s251,s134,s94,s81,s296,s53,s54,s564,s45,s42,s20])).
% 0.80/0.42 cnf(s592, plain, spl15_61 | spl15_55 | ~spl15_76 | spl15_39 | spl15_41 | ~spl15_8, inference(rat,[],[s148,s66,s410,s67,s496,s523,s103,s485,s413,s486,s84,s251,s134,s100,s81,s61,s42,s20])).
% 0.80/0.42 cnf(s593, plain, spl15_55 | ~spl15_67 | ~spl15_76 | spl15_39 | spl15_41 | ~spl15_8, inference(rat,[],[s218,s124,s104,s410,s67,s105,s289,s65,s528,s565,s219,s152,s469,s493,s592,s100,s81,s61,s93,s42,s20])).
% 0.80/0.42 cnf(s594, plain, ~spl15_67 | ~spl15_76 | spl15_39 | spl15_41 | ~spl15_8, inference(rat,[],[s181,s229,s140,s568,s180,s129,s141,s584,s519,s152,s224,s469,s493,s89,s567,s74,s349,s71,s63,s468,s173,s593,s93,s139,s126,s81,s58,s591,s42,s20])).
% 0.80/0.42 cnf(s596, plain, spl15_56 | ~spl15_100 | ~spl15_76 | spl15_41 | spl15_69, inference(rat,[],[s96,s474,s158,s271,s95,s499,s217,s487,s42,s20])).
% 0.80/0.42 cnf(s597, plain, ~spl15_76 | spl15_39 | spl15_41 | ~spl15_8, inference(rat,[],[s106,s221,s347,s498,s62,s466,s207,s596,s109,s104,s289,s502,s484,s136,s141,s520,s492,s594,s251,s139,s134,s100,s94,s58,s591,s42,s20])).
% 0.80/0.42 cnf(s598, plain, ~spl15_99 | spl15_83 | spl15_66, inference(rat,[],[s181,s228])).
% 0.80/0.42 cnf(s599, plain, spl15_53 | ~spl15_98 | ~spl15_58 | spl15_39 | spl15_86, inference(rat,[],[s491,s500,s490])).
% 0.80/0.42 cnf(s600, plain, ~spl15_48 | spl15_55 | ~spl15_65 | ~spl15_62 | spl15_43, inference(rat,[],[s148,s66,s410,s67,s42,s20])).
% 0.80/0.42 cnf(s601, plain, ~spl15_58 | ~spl15_67 | spl15_39 | spl15_52 | ~spl15_8, inference(rat,[],[s108,s105,s103,s482,s496,s600,s341,s64,s63,s349,s207,s599,s140,s598,s413,s486,s84,s493,s152,s139,s126,s100,s81,s61,s58,s93,s42,s20])).
% 0.80/0.42 cnf(s602, plain, ~spl15_46 | spl15_68 | ~spl15_87 | spl15_66 | spl15_52 | spl15_97, inference(rat,[],[s181,s140,s229,s180,s141,s519,s568,s74,s349,s71,s42,s20])).
% 0.80/0.42 cnf(s603, plain, ~spl15_67 | spl15_39 | spl15_52 | ~spl15_8, inference(rat,[],[s218,s104,s105,s289,s116,s528,s410,s341,s64,s63,s602,s219,s224,s469,s89,s129,s84,s65,s584,s576,s565,s601,s93,s139,s126,s100,s81,s61,s58,s42,s20])).
% 0.80/0.42 cnf(s605, plain, spl15_80 | ~spl15_59 | spl15_67 | spl15_77, inference(rat,[],[s418,s119,s104])).
% 0.80/0.42 cnf(s606, plain, ~spl15_55 | spl15_83 | spl15_67 | ~spl15_109 | spl15_77, inference(rat,[],[s108,s103,s106,s109,s605,s279,s434,s173,s42,s20])).
% 0.80/0.42 cnf(s607, plain, spl15_39 | spl15_41 | ~spl15_8, inference(rat,[],[s183,s141,s228,s208,s140,s510,s333,s474,s231,s71,s62,s347,s606,s325,s582,s603,s241,s137,s255,s96,s583,s573,s572,s597,s251,s139,s134,s100,s94,s58,s591,s42,s20])).
% 0.80/0.42 cnf(s608, plain, spl15_54 | ~spl15_109 | spl15_58 | ~spl15_39 | spl15_43, inference(rat,[],[s588,s279,s537,s434])).
% 0.80/0.42 cnf(s609, plain, spl15_41 | ~spl15_8, inference(rat,[],[s167,s236,s129,s539,s333,s474,s231,s466,s71,s62,s347,s173,s608,s241,s255,s96,s573,s572,s444,s437,s302,s607,s591,s251,s126,s94,s61,s58,s296,s53,s54,s564,s45,s42,s20])).
% 0.80/0.42 cnf(s610, plain, ~spl15_67 | ~spl15_61 | ~spl15_8, inference(rat,[],[s283,s137,s147,s146,s136,s558,s192,s469,s93,s134,s437,s463,s326,s609,s54,s564,s42,s20])).
% 0.80/0.42 cnf(s611, plain, spl15_83 | ~spl15_107 | ~spl15_52 | spl15_39 | ~spl15_8, inference(rat,[],[s183,s141,s228,s208,s140,s510,s568,s159,s170,s63,s198,s509,s139,s100,s58,s129,s584,s126,s610,s84,s576,s444,s463,s326,s609,s296,s53,s54,s564,s45,s81,s42,s20])).
% 0.80/0.42 cnf(s612, plain, ~spl15_83 | ~spl15_55 | ~spl15_52 | spl15_67 | ~spl15_8, inference(rat,[],[s240,s269,s95,s549,s207,s487,s201,s62,s197,s106,s109,s104,s141,s289,s489,s502,s325,s139,s100,s94,s58,s437,s463,s326,s609,s54,s564,s42,s20])).
% 0.80/0.42 cnf(s613, plain, ~spl15_55 | ~spl15_52 | spl15_39 | ~spl15_8, inference(rat,[],[s257,s254,s255,s611,s606,s612,s251,s100,s610,s84,s576,s444,s463,s326,s609,s296,s53,s54,s564,s45,s81,s42,s20])).
% 0.80/0.42 cnf(s614, plain, ~spl15_52 | spl15_39 | ~spl15_8, inference(rat,[],[s258,s280,s254,s551,s365,s218,s104,s289,s502,s228,s183,s141,s208,s140,s510,s568,s159,s170,s63,s199,s247,s123,s116,s410,s613,s251,s139,s100,s58,s437,s65,s565,s61,s129,s584,s126,s610,s84,s576,s444,s463,s326,s609,s296,s53,s54,s564,s45,s81,s42,s20])).
% 0.80/0.42 cnf(s615, plain, ~spl15_46 | spl15_39 | ~spl15_8, inference(rat,[],[s240,s333,s95,s250,s549,s131,s74,s349,s71,s94,s437,s129,s584,s444,s463,s326,s609,s296,s53,s54,s564,s45,s126,s614,s42,s20])).
% 0.80/0.42 cnf(s616, plain, spl15_39 | ~spl15_8, inference(rat,[],[s255,s279,s257,s258,s116,s254,s410,s551,s341,s468,s64,s63,s615,s614,s65,s565,s251,s61,s58,s437,s444,s463,s326,s609,s296,s53,s54,s564,s45,s42,s20])).
% 0.80/0.42 cnf(s617, plain, ~spl15_46 | ~spl15_67 | ~spl15_52 | ~spl15_8, inference(rat,[],[s500,s236,s140,s167,s559,s240,s129,s95,s539,s541,s159,s139,s134,s126,s94,s444,s463,s326,s609,s296,s53,s54,s564,s45,s616,s42,s20])).
% 0.80/0.42 cnf(s618, plain, ~spl15_67 | ~spl15_52 | ~spl15_8, inference(rat,[],[s173,s537,s561,s588,s247,s63,s617,s103,s553,s134,s100,s61,s58,s437,s444,s463,s326,s609,s296,s53,s54,s564,s45,s616,s42,s20])).
% 0.80/0.42 cnf(s619, plain, spl15_46 | ~spl15_52 | ~spl15_8, inference(rat,[],[s240,s269,s95,s549,s62,s556,s64,s246,s63,s94,s58,s437,s463,s326,s609,s54,s564,s616,s618,s42,s20])).
% 0.80/0.42 cnf(s620, plain, ~spl15_52 | ~spl15_8, inference(rat,[],[s258,s280,s254,s551,s365,s194,s62,s71,s619,s104,s289,s502,s219,s87,s85,s89,s84,s555,s618,s251,s100,s81,s58,s437,s444,s463,s326,s609,s296,s53,s54,s564,s45,s616,s42,s20])).
% 0.80/0.42 cnf(s621, plain, ~spl15_47 | ~spl15_79 | ~spl15_8, inference(rat,[],[s255,s279,s257,s258,s254,s561,s551,s341,s468,s64,s251,s437,s463,s326,s609,s54,s564,s620,s42,s20])).
% 0.80/0.42 cnf(s622, plain, ~spl15_67 | ~spl15_8, inference(rat,[],[s500,s140,s333,s559,s240,s95,s549,s74,s71,s63,s621,s103,s553,s139,s134,s100,s94,s58,s437,s463,s326,s609,s54,s564,s620,s42,s20])).
% 0.80/0.42 cnf(s623, plain, spl15_46 | ~spl15_8, inference(rat,[],[s167,s236,s129,s539,s466,s217,s62,s487,s64,s231,s63,s126,s58,s620,s141,s489,s192,s87,s85,s89,s616,s84,s555,s444,s463,s326,s609,s296,s53,s54,s564,s45,s81,s622,s139,s42,s20])).
% 0.80/0.42 cnf(s624, plain, ~spl15_8, inference(rat,[],[s588,s218,s537,s106,s173,s347,s62,s71,s623,s104,s289,s502,s219,s87,s85,s89,s84,s555,s622,s620,s616,s444,s463,s326,s609,s296,s53,s54,s564,s45,s58,s61,s81,s100,s42,s20])).
% 0.80/0.42 cnf(s625, plain, spl15_6, inference(rat,[],[s25,s7,s13,s22,s624])).
% 0.80/0.42 cnf(s626, plain, spl15_15, inference(rat,[],[s15,s624,s625])).
% 0.80/0.42 cnf(s627, plain, ~spl15_12, inference(rat,[],[s9,s624,s625])).
% 0.80/0.42 cnf(s628, plain, spl15_7, inference(rat,[],[s4,s624,s625])).
% 0.80/0.42 cnf(s629, plain, $false, inference(rat,[],[s25,s628,s626,s627])).
% 0.80/0.42 thf(f2286,plain,(
% 0.80/0.42 $false),
% 0.80/0.42 inference(avatar_sat_refutation,[],[s629])).
% 0.80/0.42 % SZS output end Proof for theBenchmark
% 0.80/0.42 % (1680555)------------------------------
% 0.80/0.42 % (1680555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.42 % (1680555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.42 % (1680555)CaDiCaL version: 2.1.3
% 0.80/0.42 % (1680555)Termination reason: Refutation
% 0.80/0.42 % (1680555)Time elapsed: 0.114 s
% 0.80/0.42 % (1680555)Peak memory usage: 14 MB
% 0.80/0.42 % (1680555)Instructions burned: 196 (million)
% 0.80/0.42 % (1680547)Success in time 0.149 s
% 0.80/0.42 % Vampire exiting
%------------------------------------------------------------------------------