%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO500^1.008 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:48:08 AM UTC 2026
% Result : Theorem 0.78s 0.39s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500^1.008 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.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
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:06:37 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.37 % (619357)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.37 % (619365)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=3793574877: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)
% 0.78/0.37 % (619368)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.37 % (619368)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
% 0.78/0.37 % (619366)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2945306358:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.37 % (619364)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3504203697:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.37 % (619363)lrs+10_16_si=on:nwc=1.5:random_seed=1383917429:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.37 % (619362)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2273668776:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.37 % (619367)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4206865356:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.37 % (619364)Refutation not found, incomplete strategy
% 0.78/0.37 % (619364)------------------------------
% 0.78/0.37 % (619364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (619364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (619364)CaDiCaL version: 2.1.3
% 0.78/0.37 % (619364)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.37 % (619364)Time elapsed: 0.001 s
% 0.78/0.37 % (619364)Peak memory usage: 12 MB
% 0.78/0.37 % (619364)Instructions burned: 1 (million)
% 0.78/0.37 % (619368)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=1671193554:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.37 % (619362)Refutation not found, incomplete strategy
% 0.78/0.37 % (619362)------------------------------
% 0.78/0.37 % (619362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (619362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (619362)CaDiCaL version: 2.1.3
% 0.78/0.37 % (619362)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.37 % (619362)Time elapsed: 0.002 s
% 0.78/0.37 % (619362)Peak memory usage: 12 MB
% 0.78/0.37 % (619362)Instructions burned: 2 (million)
% 0.78/0.37 % (619364)------------------------------
% 0.78/0.37 % (619364)------------------------------
% 0.78/0.37 % (619363)Refutation not found, incomplete strategy
% 0.78/0.37 % (619363)------------------------------
% 0.78/0.37 % (619363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (619363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (619363)CaDiCaL version: 2.1.3
% 0.78/0.37 % (619363)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.37 % (619363)Time elapsed: 0.002 s
% 0.78/0.37 % (619363)Peak memory usage: 12 MB
% 0.78/0.37 % (619363)Instructions burned: 3 (million)
% 0.78/0.37 % (619366)Refutation not found, incomplete strategy
% 0.78/0.37 % (619366)------------------------------
% 0.78/0.37 % (619366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.37 % (619366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.37 % (619366)CaDiCaL version: 2.1.3
% 0.78/0.37 % (619366)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.37 % (619366)Time elapsed: 0.003 s
% 0.78/0.37 % (619366)Peak memory usage: 12 MB
% 0.78/0.37 % (619366)Instructions burned: 4 (million)
% 0.78/0.37 % (619362)------------------------------
% 0.78/0.37 % (619362)------------------------------
% 0.78/0.37 % (619363)------------------------------
% 0.78/0.37 % (619363)------------------------------
% 0.78/0.37 % (619366)------------------------------
% 0.78/0.37 % (619366)------------------------------
% 0.78/0.37 % (619378)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.39 % (619376)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4246772386:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.39 % (619377)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3608479922:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.39 % (619378)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1675564706:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.39 % (619379)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3116947594:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.39 % (619376)Instruction limit reached!
% 0.78/0.39 % (619376)------------------------------
% 0.78/0.39 % (619376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619376)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619376)Termination reason: Instruction limit
% 0.78/0.39 % (619376)Termination phase: Saturation
% 0.78/0.39 % (619376)Time elapsed: 0.002 s
% 0.78/0.39 % (619376)Peak memory usage: 12 MB
% 0.78/0.39 % (619376)Instructions burned: 4 (million)
% 0.78/0.39 % (619377)Instruction limit reached!
% 0.78/0.39 % (619377)------------------------------
% 0.78/0.39 % (619377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619377)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619377)Termination reason: Instruction limit
% 0.78/0.39 % (619377)Termination phase: Saturation
% 0.78/0.39 % (619377)Time elapsed: 0.004 s
% 0.78/0.39 % (619377)Peak memory usage: 11 MB
% 0.78/0.39 % (619377)Instructions burned: 6 (million)
% 0.78/0.39 % (619378)Instruction limit reached!
% 0.78/0.39 % (619378)------------------------------
% 0.78/0.39 % (619378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619378)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619378)Termination reason: Instruction limit
% 0.78/0.39 % (619378)Termination phase: Saturation
% 0.78/0.39 % (619378)Time elapsed: 0.005 s
% 0.78/0.39 % (619378)Peak memory usage: 12 MB
% 0.78/0.39 % (619378)Instructions burned: 9 (million)
% 0.78/0.39 % (619379)Instruction limit reached!
% 0.78/0.39 % (619379)------------------------------
% 0.78/0.39 % (619379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619379)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619379)Termination reason: Instruction limit
% 0.78/0.39 % (619379)Termination phase: Saturation
% 0.78/0.39 % (619379)Time elapsed: 0.007 s
% 0.78/0.39 % (619379)Peak memory usage: 12 MB
% 0.78/0.39 % (619379)Instructions burned: 13 (million)
% 0.78/0.39 % (619367)Instruction limit reached!
% 0.78/0.39 % (619367)------------------------------
% 0.78/0.39 % (619367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619367)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619367)Termination reason: Instruction limit
% 0.78/0.39 % (619367)Termination phase: Saturation
% 0.78/0.39 % (619367)Time elapsed: 0.038 s
% 0.78/0.39 % (619367)Peak memory usage: 13 MB
% 0.78/0.39 % (619367)Instructions burned: 76 (million)
% 0.78/0.39 % (619384)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
% 0.78/0.39 % (619384)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.39 % (619384)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2796220113:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.39 % (619387)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.39 % (619386)lrs+10_1_si=on:cs=on:random_seed=1770731347:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.39 % (619387)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=506857780:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.39 % (619385)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=3456209085:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.39 % (619387)Instruction limit reached!
% 0.78/0.39 % (619387)------------------------------
% 0.78/0.39 % (619387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619386)Instruction limit reached!
% 0.78/0.39 % (619386)------------------------------
% 0.78/0.39 % (619386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619387)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619387)Termination reason: Instruction limit
% 0.78/0.39 % (619387)Termination phase: Saturation
% 0.78/0.39 % (619386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619387)Time elapsed: 0.002 s
% 0.78/0.39 % (619387)Peak memory usage: 12 MB
% 0.78/0.39 % (619387)Instructions burned: 2 (million)
% 0.78/0.39 % (619386)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619386)Termination reason: Instruction limit
% 0.78/0.39 % (619386)Termination phase: Saturation
% 0.78/0.39 % (619386)Time elapsed: 0.004 s
% 0.78/0.39 % (619386)Peak memory usage: 11 MB
% 0.78/0.39 % (619386)Instructions burned: 9 (million)
% 0.78/0.39 % (619384)Instruction limit reached!
% 0.78/0.39 % (619384)------------------------------
% 0.78/0.39 % (619384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619384)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619384)Termination reason: Instruction limit
% 0.78/0.39 % (619384)Termination phase: Saturation
% 0.78/0.39 % (619384)Time elapsed: 0.014 s
% 0.78/0.39 % (619384)Peak memory usage: 12 MB
% 0.78/0.39 % (619384)Instructions burned: 28 (million)
% 0.78/0.39 % (619388)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=660397975:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.78/0.39 % (619385)Refutation not found, incomplete strategy
% 0.78/0.39 % (619385)------------------------------
% 0.78/0.39 % (619385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619385)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619385)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.39 % (619385)Time elapsed: 0.009 s
% 0.78/0.39 % (619385)Peak memory usage: 12 MB
% 0.78/0.39 % (619385)Instructions burned: 8 (million)
% 0.78/0.39 % (619388)Refutation not found, incomplete strategy
% 0.78/0.39 % (619388)------------------------------
% 0.78/0.39 % (619388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619388)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619388)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.39 % (619388)Time elapsed: 0.001 s
% 0.78/0.39 % (619388)Peak memory usage: 12 MB
% 0.78/0.39 % (619388)Instructions burned: 2 (million)
% 0.78/0.39 % (619388)------------------------------
% 0.78/0.39 % (619388)------------------------------
% 0.78/0.39 % (619385)------------------------------
% 0.78/0.39 % (619385)------------------------------
% 0.78/0.39 % (619393)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4190700059:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.78/0.39 % (619397)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=251919465:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.78/0.39 % (619398)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1261919019:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.78/0.39 % (619368) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-619357-619368"...
% 0.78/0.39 % (619394)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2427608041:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.78/0.39 % (619394)Refutation not found, incomplete strategy
% 0.78/0.39 % (619394)------------------------------
% 0.78/0.39 % (619394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619394)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619394)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.39 % (619394)Time elapsed: 0.002 s
% 0.78/0.39 % (619394)Peak memory usage: 12 MB
% 0.78/0.39 % (619394)Instructions burned: 2 (million)
% 0.78/0.39 % (619394)------------------------------
% 0.78/0.39 % (619394)------------------------------
% 0.78/0.39 % (619398)Instruction limit reached!
% 0.78/0.39 % (619398)------------------------------
% 0.78/0.39 % (619398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619398)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619398)Termination reason: Instruction limit
% 0.78/0.39 % (619398)Termination phase: Saturation
% 0.78/0.39 % (619398)Time elapsed: 0.008 s
% 0.78/0.39 % (619398)Peak memory usage: 12 MB
% 0.78/0.39 % (619398)Instructions burned: 15 (million)
% 0.78/0.39 % (619396)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2863022704:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.78/0.39 % (619396)Refutation not found, incomplete strategy
% 0.78/0.39 % (619396)------------------------------
% 0.78/0.39 % (619396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (619396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (619396)CaDiCaL version: 2.1.3
% 0.78/0.39 % (619396)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.39 % (619396)Time elapsed: 0.002 s
% 0.78/0.39 % (619396)Peak memory usage: 12 MB
% 0.78/0.39 % (619396)Instructions burned: 2 (million)
% 0.78/0.39 % (619396)------------------------------
% 0.78/0.39 % (619396)------------------------------
% 0.78/0.39 % (619368)...printing done.
% 0.78/0.39 % (619368)Refutation found. Thanks to Tanya!
% 0.78/0.39 % SZS status Theorem for theBenchmark
% 0.78/0.39 % SZS output start Proof for theBenchmark
% 0.78/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.78/0.39 thf(func_def_0, type, x: $o).
% 0.78/0.39 thf(func_def_1, type, f0: ($o > $o)).
% 0.78/0.39 thf(func_def_2, type, f1: ($o > $o)).
% 0.78/0.39 thf(func_def_3, type, f2: ($o > $o)).
% 0.78/0.39 thf(func_def_4, type, f3: ($o > $o)).
% 0.78/0.39 thf(func_def_5, type, f4: ($o > $o)).
% 0.78/0.39 thf(func_def_6, type, f5: ($o > $o)).
% 0.78/0.39 thf(func_def_7, type, f6: ($o > $o)).
% 0.78/0.39 thf(func_def_8, type, f7: ($o > $o)).
% 0.78/0.39 thf(func_def_12, type, sF0: $o).
% 0.78/0.39 thf(func_def_13, type, sF1: $o).
% 0.78/0.39 thf(func_def_14, type, sF2: $o).
% 0.78/0.39 thf(func_def_15, type, sF3: $o).
% 0.78/0.39 thf(func_def_16, type, sF4: $o).
% 0.78/0.39 thf(func_def_17, type, sF5: $o).
% 0.78/0.39 thf(func_def_18, type, sF6: $o).
% 0.78/0.39 thf(func_def_19, type, sF7: $o).
% 0.78/0.39 thf(func_def_20, type, sF8: $o).
% 0.78/0.39 thf(func_def_21, type, sF9: $o).
% 0.78/0.39 thf(func_def_22, type, sF10: $o).
% 0.78/0.39 thf(func_def_23, type, sF11: $o).
% 0.78/0.39 thf(func_def_24, type, sF12: $o).
% 0.78/0.39 thf(func_def_25, type, sF13: $o).
% 0.78/0.39 thf(func_def_26, type, sF14: $o).
% 0.78/0.39 thf(func_def_27, type, sF15: $o).
% 0.78/0.39 thf(func_def_28, type, sF16: $o).
% 0.78/0.39 thf(func_def_29, type, sF17: $o).
% 0.78/0.39 thf(func_def_30, type, sF18: $o).
% 0.78/0.39 thf(func_def_31, type, sF19: $o).
% 0.78/0.39 thf(func_def_32, type, sF20: $o).
% 0.78/0.39 thf(func_def_33, type, sF21: $o).
% 0.78/0.39 thf(func_def_34, type, sF22: $o).
% 0.78/0.39 thf(func_def_35, type, sF23: $o).
% 0.78/0.39 thf(func_def_36, type, sF24: $o).
% 0.78/0.39 thf(func_def_37, type, sF25: $o).
% 0.78/0.39 thf(func_def_38, type, sF26: $o).
% 0.78/0.39 thf(func_def_39, type, sF27: $o).
% 0.78/0.39 thf(func_def_40, type, sF28: $o).
% 0.78/0.39 thf(func_def_41, type, sF29: $o).
% 0.78/0.39 thf(func_def_42, type, sF30: $o).
% 0.78/0.39 thf(f1,conjecture,(
% 0.78/0.39 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ (f3 @ (f4 @ (f4 @ (f4 @ (f5 @ (f6 @ (f6 @ (f6 @ (f7 @ x))))))))))))))))) = ((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ (f3 @ (f3 @ (f3 @ (f4 @ (f5 @ (f5 @ (f5 @ (f6 @ (f7 @ (f7 @ (f7 @ x))))))))))))))))))),
% 0.78/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski8)).
% 0.78/0.39 thf(f2,negated_conjecture,(
% 0.78/0.39 ~ (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ (f3 @ (f4 @ (f4 @ (f4 @ (f5 @ (f6 @ (f6 @ (f6 @ (f7 @ x))))))))))))))))) = ((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ (f3 @ (f3 @ (f3 @ (f4 @ (f5 @ (f5 @ (f5 @ (f6 @ (f7 @ (f7 @ (f7 @ x))))))))))))))))))),
% 0.78/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.78/0.39 thf(f3,plain,(
% 0.78/0.39 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ (f3 @ (f4 @ (f4 @ (f4 @ (f5 @ (f6 @ (f6 @ (f6 @ (f7 @ x))))))))))))))))) != ((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ (f3 @ (f3 @ (f3 @ (f4 @ (f5 @ (f5 @ (f5 @ (f6 @ (f7 @ (f7 @ (f7 @ x))))))))))))))))))),
% 0.78/0.39 inference(flattening,[],[f2])).
% 0.78/0.39 thf(f4,plain,(
% 0.78/0.39 (((f0 @ (f0 @ (f0 @ (f1 @ (f2 @ (f2 @ (f2 @ (f3 @ (f4 @ (f4 @ (f4 @ (f5 @ (f6 @ (f6 @ (f6 @ (f7 @ x))))))))))))))))) != ((f0 @ (f1 @ (f1 @ (f1 @ (f2 @ (f3 @ (f3 @ (f3 @ (f4 @ (f5 @ (f5 @ (f5 @ (f6 @ (f7 @ (f7 @ (f7 @ x))))))))))))))))))),
% 0.78/0.39 inference(cnf_transformation,[],[f3])).
% 0.78/0.39 thf(f6,definition,(
% 0.78/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.78/0.39 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.78/0.39 thf(f7,definition,(
% 0.78/0.39 (sF0 = ((f7 @ x)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.78/0.39 thf(f8,plain,(
% 0.78/0.39 (((f7 @ x)) = sF0)),
% 0.78/0.39 inference(reorient_equations,[],[f7])).
% 0.78/0.39 thf(f9,definition,(
% 0.78/0.39 (sF1 = ((f6 @ sF0)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.78/0.39 thf(f10,plain,(
% 0.78/0.39 (((f6 @ sF0)) = sF1)),
% 0.78/0.39 inference(reorient_equations,[],[f9])).
% 0.78/0.39 thf(f11,definition,(
% 0.78/0.39 (sF2 = ((f6 @ sF1)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 0.78/0.39 thf(f12,plain,(
% 0.78/0.39 (((f6 @ sF1)) = sF2)),
% 0.78/0.39 inference(reorient_equations,[],[f11])).
% 0.78/0.39 thf(f13,definition,(
% 0.78/0.39 (sF3 = ((f6 @ sF2)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 0.78/0.39 thf(f14,definition,(
% 0.78/0.39 (sF4 = ((f5 @ sF3)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 0.78/0.39 thf(f15,definition,(
% 0.78/0.39 (sF5 = ((f4 @ sF4)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 0.78/0.39 thf(f16,definition,(
% 0.78/0.39 (sF6 = ((f4 @ sF5)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 0.78/0.39 thf(f17,plain,(
% 0.78/0.39 (((f4 @ sF5)) = sF6)),
% 0.78/0.39 inference(reorient_equations,[],[f16])).
% 0.78/0.39 thf(f18,definition,(
% 0.78/0.39 (sF7 = ((f4 @ sF6)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 0.78/0.39 thf(f19,plain,(
% 0.78/0.39 (((f4 @ sF6)) = sF7)),
% 0.78/0.39 inference(reorient_equations,[],[f18])).
% 0.78/0.39 thf(f20,definition,(
% 0.78/0.39 (sF8 = ((f3 @ sF7)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 0.78/0.39 thf(f21,definition,(
% 0.78/0.39 (sF9 = ((f2 @ sF8)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
% 0.78/0.39 thf(f22,plain,(
% 0.78/0.39 (((f2 @ sF8)) = sF9)),
% 0.78/0.39 inference(reorient_equations,[],[f21])).
% 0.78/0.39 thf(f23,definition,(
% 0.78/0.39 (sF10 = ((f2 @ sF9)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
% 0.78/0.39 thf(f24,plain,(
% 0.78/0.39 (((f2 @ sF9)) = sF10)),
% 0.78/0.39 inference(reorient_equations,[],[f23])).
% 0.78/0.39 thf(f25,definition,(
% 0.78/0.39 (sF11 = ((f2 @ sF10)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF11])],[function_definition])).
% 0.78/0.39 thf(f26,plain,(
% 0.78/0.39 (((f2 @ sF10)) = sF11)),
% 0.78/0.39 inference(reorient_equations,[],[f25])).
% 0.78/0.39 thf(f27,definition,(
% 0.78/0.39 (sF12 = ((f1 @ sF11)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF12])],[function_definition])).
% 0.78/0.39 thf(f28,plain,(
% 0.78/0.39 (((f1 @ sF11)) = sF12)),
% 0.78/0.39 inference(reorient_equations,[],[f27])).
% 0.78/0.39 thf(f29,definition,(
% 0.78/0.39 (sF13 = ((f0 @ sF12)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF13])],[function_definition])).
% 0.78/0.39 thf(f30,plain,(
% 0.78/0.39 (((f0 @ sF12)) = sF13)),
% 0.78/0.39 inference(reorient_equations,[],[f29])).
% 0.78/0.39 thf(f31,definition,(
% 0.78/0.39 (sF14 = ((f0 @ sF13)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF14])],[function_definition])).
% 0.78/0.39 thf(f32,plain,(
% 0.78/0.39 (((f0 @ sF13)) = sF14)),
% 0.78/0.39 inference(reorient_equations,[],[f31])).
% 0.78/0.39 thf(f33,definition,(
% 0.78/0.39 (sF15 = ((f0 @ sF14)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF15])],[function_definition])).
% 0.78/0.39 thf(f34,plain,(
% 0.78/0.39 (((f0 @ sF14)) = sF15)),
% 0.78/0.39 inference(reorient_equations,[],[f33])).
% 0.78/0.39 thf(f35,definition,(
% 0.78/0.39 (sF16 = ((f7 @ sF0)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF16])],[function_definition])).
% 0.78/0.39 thf(f36,definition,(
% 0.78/0.39 (sF17 = ((f7 @ sF16)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF17])],[function_definition])).
% 0.78/0.39 thf(f37,plain,(
% 0.78/0.39 (((f7 @ sF16)) = sF17)),
% 0.78/0.39 inference(reorient_equations,[],[f36])).
% 0.78/0.39 thf(f38,definition,(
% 0.78/0.39 (sF18 = ((f6 @ sF17)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF18])],[function_definition])).
% 0.78/0.39 thf(f39,plain,(
% 0.78/0.39 (((f6 @ sF17)) = sF18)),
% 0.78/0.39 inference(reorient_equations,[],[f38])).
% 0.78/0.39 thf(f40,definition,(
% 0.78/0.39 (sF19 = ((f5 @ sF18)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF19])],[function_definition])).
% 0.78/0.39 thf(f41,definition,(
% 0.78/0.39 (sF20 = ((f5 @ sF19)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF20])],[function_definition])).
% 0.78/0.39 thf(f42,definition,(
% 0.78/0.39 (sF21 = ((f5 @ sF20)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF21])],[function_definition])).
% 0.78/0.39 thf(f43,plain,(
% 0.78/0.39 (((f5 @ sF20)) = sF21)),
% 0.78/0.39 inference(reorient_equations,[],[f42])).
% 0.78/0.39 thf(f44,definition,(
% 0.78/0.39 (sF22 = ((f4 @ sF21)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF22])],[function_definition])).
% 0.78/0.39 thf(f45,plain,(
% 0.78/0.39 (((f4 @ sF21)) = sF22)),
% 0.78/0.39 inference(reorient_equations,[],[f44])).
% 0.78/0.39 thf(f46,definition,(
% 0.78/0.39 (sF23 = ((f3 @ sF22)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF23])],[function_definition])).
% 0.78/0.39 thf(f47,definition,(
% 0.78/0.39 (sF24 = ((f3 @ sF23)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF24])],[function_definition])).
% 0.78/0.39 thf(f48,definition,(
% 0.78/0.39 (sF25 = ((f3 @ sF24)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF25])],[function_definition])).
% 0.78/0.39 thf(f49,definition,(
% 0.78/0.39 (sF26 = ((f2 @ sF25)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF26])],[function_definition])).
% 0.78/0.39 thf(f50,definition,(
% 0.78/0.39 (sF27 = ((f1 @ sF26)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF27])],[function_definition])).
% 0.78/0.39 thf(f51,definition,(
% 0.78/0.39 (sF28 = ((f1 @ sF27)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF28])],[function_definition])).
% 0.78/0.39 thf(f52,plain,(
% 0.78/0.39 (((f1 @ sF27)) = sF28)),
% 0.78/0.39 inference(reorient_equations,[],[f51])).
% 0.78/0.39 thf(f53,definition,(
% 0.78/0.39 (sF29 = ((f1 @ sF28)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF29])],[function_definition])).
% 0.78/0.39 thf(f54,definition,(
% 0.78/0.39 (sF30 = ((f0 @ sF29)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[sF30])],[function_definition])).
% 0.78/0.39 thf(f55,plain,(
% 0.78/0.39 (sF15 != sF30)),
% 0.78/0.39 inference(definition_folding,[],[f4,f54,f53,f52,f50,f49,f48,f47,f46,f45,f43,f41,f40,f39,f37,f35,f8,f34,f32,f30,f28,f26,f24,f22,f20,f19,f17,f15,f14,f13,f12,f10,f8])).
% 0.78/0.39 thf(f56,plain,(
% 0.78/0.39 (((f5 @ sF20)) = $true) | (sF21 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f43])).
% 0.78/0.39 thf(f57,plain,(
% 0.78/0.39 (sF21 = $true) | (((f5 @ sF20)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f43])).
% 0.78/0.39 thf(f58,plain,(
% 0.78/0.39 (sF27 = $true) | (((f1 @ sF26)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f50])).
% 0.78/0.39 thf(f59,plain,(
% 0.78/0.39 ($true = ((f1 @ sF26))) | (sF27 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f50])).
% 0.78/0.39 thf(f60,plain,(
% 0.78/0.39 ($true = ((f4 @ sF5))) | (sF6 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f17])).
% 0.78/0.39 thf(f61,plain,(
% 0.78/0.39 (((f4 @ sF5)) = $false) | ($true = sF6)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f17])).
% 0.78/0.39 thf(f62,plain,(
% 0.78/0.39 (((f2 @ sF25)) = $false) | (sF26 = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f49])).
% 0.78/0.39 thf(f63,plain,(
% 0.78/0.39 ($true = ((f2 @ sF25))) | (sF26 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f49])).
% 0.78/0.39 thf(f64,plain,(
% 0.78/0.39 (((f7 @ x)) = $true) | (sF0 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f8])).
% 0.78/0.39 thf(f65,plain,(
% 0.78/0.39 (((f7 @ x)) = $false) | (sF0 = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f8])).
% 0.78/0.39 thf(f66,plain,(
% 0.78/0.39 (((f6 @ sF2)) = $false) | (sF3 = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f13])).
% 0.78/0.39 thf(f67,plain,(
% 0.78/0.39 (((f6 @ sF2)) = $true) | (sF3 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f13])).
% 0.78/0.39 thf(f68,plain,(
% 0.78/0.39 (sF12 = $false) | (((f1 @ sF11)) = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f28])).
% 0.78/0.39 thf(f69,plain,(
% 0.78/0.39 ($true = sF12) | (((f1 @ sF11)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f28])).
% 0.78/0.39 thf(f70,plain,(
% 0.78/0.39 ($true = sF30) | (((f0 @ sF29)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f54])).
% 0.78/0.39 thf(f71,plain,(
% 0.78/0.39 (sF30 = $false) | ($true = ((f0 @ sF29)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f54])).
% 0.78/0.39 thf(f72,plain,(
% 0.78/0.39 ($true = sF16) | ($false = ((f7 @ sF0)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f35])).
% 0.78/0.39 thf(f73,plain,(
% 0.78/0.39 ($true = ((f7 @ sF0))) | (sF16 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f35])).
% 0.78/0.39 thf(f74,plain,(
% 0.78/0.39 (sF2 = $false) | ($true = ((f6 @ sF1)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f12])).
% 0.78/0.39 thf(f75,plain,(
% 0.78/0.39 ($true = sF2) | (((f6 @ sF1)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f12])).
% 0.78/0.39 thf(f76,plain,(
% 0.78/0.39 ($true = ((f4 @ sF21))) | (sF22 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f45])).
% 0.78/0.39 thf(f77,plain,(
% 0.78/0.39 ($true = sF22) | (((f4 @ sF21)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f45])).
% 0.78/0.39 thf(f78,plain,(
% 0.78/0.39 (sF18 = $false) | ($true = ((f6 @ sF17)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f39])).
% 0.78/0.39 thf(f79,plain,(
% 0.78/0.39 ($true = sF18) | (((f6 @ sF17)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f39])).
% 0.78/0.39 thf(f80,plain,(
% 0.78/0.39 ($true = sF19) | (((f5 @ sF18)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f40])).
% 0.78/0.39 thf(f81,plain,(
% 0.78/0.39 ($true = ((f5 @ sF18))) | (sF19 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f40])).
% 0.78/0.39 thf(f82,plain,(
% 0.78/0.39 (sF9 = $false) | ($true = ((f2 @ sF8)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f22])).
% 0.78/0.39 thf(f83,plain,(
% 0.78/0.39 ($true = sF9) | (((f2 @ sF8)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f22])).
% 0.78/0.39 thf(f84,plain,(
% 0.78/0.39 (sF10 = $false) | (((f2 @ sF9)) = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f24])).
% 0.78/0.39 thf(f85,plain,(
% 0.78/0.39 (((f2 @ sF9)) = $false) | ($true = sF10)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f24])).
% 0.78/0.39 thf(f86,plain,(
% 0.78/0.39 (sF1 = $false) | (((f6 @ sF0)) = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f10])).
% 0.78/0.39 thf(f87,plain,(
% 0.78/0.39 (((f6 @ sF0)) = $false) | ($true = sF1)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f10])).
% 0.78/0.39 thf(f88,plain,(
% 0.78/0.39 ($true = sF29) | (((f1 @ sF28)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f53])).
% 0.78/0.39 thf(f89,plain,(
% 0.78/0.39 (sF29 = $false) | ($true = ((f1 @ sF28)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f53])).
% 0.78/0.39 thf(f90,plain,(
% 0.78/0.39 (((f3 @ sF24)) = $false) | (sF25 = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f48])).
% 0.78/0.39 thf(f91,plain,(
% 0.78/0.39 (sF25 = $false) | ($true = ((f3 @ sF24)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f48])).
% 0.78/0.39 thf(f92,plain,(
% 0.78/0.39 ($true = sF24) | (((f3 @ sF23)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f47])).
% 0.78/0.39 thf(f93,plain,(
% 0.78/0.39 ($true = ((f3 @ sF23))) | (sF24 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f47])).
% 0.78/0.39 thf(f94,plain,(
% 0.78/0.39 (sF4 = $true) | (((f5 @ sF3)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f14])).
% 0.78/0.39 thf(f95,plain,(
% 0.78/0.39 (sF4 = $false) | ($true = ((f5 @ sF3)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f14])).
% 0.78/0.39 thf(f96,plain,(
% 0.78/0.39 (((f4 @ sF6)) = $true) | (sF7 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f19])).
% 0.78/0.39 thf(f97,plain,(
% 0.78/0.39 ($true = sF7) | (((f4 @ sF6)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f19])).
% 0.78/0.39 thf(f98,plain,(
% 0.78/0.39 ($true = sF8) | (((f3 @ sF7)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f20])).
% 0.78/0.39 thf(f99,plain,(
% 0.78/0.39 ($true = ((f3 @ sF7))) | (sF8 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f20])).
% 0.78/0.39 thf(f100,plain,(
% 0.78/0.39 ($true = ((f0 @ sF12))) | (sF13 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f30])).
% 0.78/0.39 thf(f101,plain,(
% 0.78/0.39 (((f0 @ sF12)) = $false) | ($true = sF13)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f30])).
% 0.78/0.39 thf(f102,plain,(
% 0.78/0.39 (sF15 = $false) | (((f0 @ sF14)) = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f34])).
% 0.78/0.39 thf(f103,plain,(
% 0.78/0.39 (sF15 = $true) | (((f0 @ sF14)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f34])).
% 0.78/0.39 thf(f104,plain,(
% 0.78/0.39 ($true = sF20) | (((f5 @ sF19)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f41])).
% 0.78/0.39 thf(f105,plain,(
% 0.78/0.39 (sF20 = $false) | ($true = ((f5 @ sF19)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f41])).
% 0.78/0.39 thf(f106,plain,(
% 0.78/0.39 ($true = ((f7 @ sF16))) | (sF17 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f37])).
% 0.78/0.39 thf(f107,plain,(
% 0.78/0.39 (((f7 @ sF16)) = $false) | ($true = sF17)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f37])).
% 0.78/0.39 thf(f108,plain,(
% 0.78/0.39 (sF11 = $false) | (((f2 @ sF10)) = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f26])).
% 0.78/0.39 thf(f109,plain,(
% 0.78/0.39 (((f2 @ sF10)) = $false) | ($true = sF11)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f26])).
% 0.78/0.39 thf(f110,plain,(
% 0.78/0.39 ($true = ((f1 @ sF27))) | (sF28 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f52])).
% 0.78/0.39 thf(f111,plain,(
% 0.78/0.39 (((f1 @ sF27)) = $false) | ($true = sF28)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f52])).
% 0.78/0.39 thf(f112,plain,(
% 0.78/0.39 (sF14 = $false) | (((f0 @ sF13)) = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f32])).
% 0.78/0.39 thf(f113,plain,(
% 0.78/0.39 (((f0 @ sF13)) = $false) | (sF14 = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f32])).
% 0.78/0.39 thf(f114,plain,(
% 0.78/0.39 (((f4 @ sF4)) = $false) | (sF5 = $true)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f15])).
% 0.78/0.39 thf(f115,plain,(
% 0.78/0.39 (sF5 = $false) | ($true = ((f4 @ sF4)))),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f15])).
% 0.78/0.39 thf(f116,plain,(
% 0.78/0.39 ($true = sF23) | (((f3 @ sF22)) = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f46])).
% 0.78/0.39 thf(f117,plain,(
% 0.78/0.39 ($true = ((f3 @ sF22))) | (sF23 = $false)),
% 0.78/0.39 inference(iff_proxy_clausification,[],[f46])).
% 0.78/0.39 thf(f118,plain,(
% 0.78/0.39 ($true = sF30) | (sF15 = $true)),
% 0.78/0.39 inference(xor_proxy_clausification,[],[f55])).
% 0.78/0.39 thf(f119,plain,(
% 0.78/0.39 (sF15 = $false) | (sF30 = $false)),
% 0.78/0.39 inference(xor_proxy_clausification,[],[f55])).
% 0.78/0.39 thf(f121,definition,(
% 0.78/0.39 spl31_1 <=> (((f5 @ sF20)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition])).
% 0.78/0.39 thf(f123,plain,(
% 0.78/0.39 (((f5 @ sF20)) = $false) | ~spl31_1),
% 0.78/0.39 inference(avatar_component_clause,[],[f121])).
% 0.78/0.39 thf(f125,definition,(
% 0.78/0.39 spl31_2 <=> (sF21 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition])).
% 0.78/0.39 thf(f126,plain,(
% 0.78/0.39 (sF21 != $true) | spl31_2),
% 0.78/0.39 inference(avatar_component_clause,[],[f125])).
% 0.78/0.39 thf(f127,plain,(
% 0.78/0.39 (sF21 = $true) | ~spl31_2),
% 0.78/0.39 inference(avatar_component_clause,[],[f125])).
% 0.78/0.39 thf(f128,plain,(
% 0.78/0.39 spl31_1 | spl31_2),
% 0.78/0.39 inference(avatar_split_clause,[],[f57,f125,f121])).
% 0.78/0.39 thf(f130,definition,(
% 0.78/0.39 spl31_3 <=> (((f5 @ sF20)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition])).
% 0.78/0.39 thf(f132,plain,(
% 0.78/0.39 (((f5 @ sF20)) = $true) | ~spl31_3),
% 0.78/0.39 inference(avatar_component_clause,[],[f130])).
% 0.78/0.39 thf(f134,definition,(
% 0.78/0.39 spl31_4 <=> (sF21 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition])).
% 0.78/0.39 thf(f136,plain,(
% 0.78/0.39 (sF21 = $false) | ~spl31_4),
% 0.78/0.39 inference(avatar_component_clause,[],[f134])).
% 0.78/0.39 thf(f137,plain,(
% 0.78/0.39 spl31_3 | spl31_4),
% 0.78/0.39 inference(avatar_split_clause,[],[f56,f134,f130])).
% 0.78/0.39 thf(f139,definition,(
% 0.78/0.39 spl31_5 <=> (sF27 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition])).
% 0.78/0.39 thf(f141,plain,(
% 0.78/0.39 (sF27 = $false) | ~spl31_5),
% 0.78/0.39 inference(avatar_component_clause,[],[f139])).
% 0.78/0.39 thf(f143,definition,(
% 0.78/0.39 spl31_6 <=> ($true = ((f1 @ sF26)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition])).
% 0.78/0.39 thf(f145,plain,(
% 0.78/0.39 ($true = ((f1 @ sF26))) | ~spl31_6),
% 0.78/0.39 inference(avatar_component_clause,[],[f143])).
% 0.78/0.39 thf(f146,plain,(
% 0.78/0.39 spl31_5 | spl31_6),
% 0.78/0.39 inference(avatar_split_clause,[],[f59,f143,f139])).
% 0.78/0.39 thf(f148,definition,(
% 0.78/0.39 spl31_7 <=> (((f1 @ sF26)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition])).
% 0.78/0.39 thf(f149,plain,(
% 0.78/0.39 (((f1 @ sF26)) != $false) | spl31_7),
% 0.78/0.39 inference(avatar_component_clause,[],[f148])).
% 0.78/0.39 thf(f150,plain,(
% 0.78/0.39 (((f1 @ sF26)) = $false) | ~spl31_7),
% 0.78/0.39 inference(avatar_component_clause,[],[f148])).
% 0.78/0.39 thf(f152,definition,(
% 0.78/0.39 spl31_8 <=> (sF27 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition])).
% 0.78/0.39 thf(f153,plain,(
% 0.78/0.39 (sF27 != $true) | spl31_8),
% 0.78/0.39 inference(avatar_component_clause,[],[f152])).
% 0.78/0.39 thf(f154,plain,(
% 0.78/0.39 (sF27 = $true) | ~spl31_8),
% 0.78/0.39 inference(avatar_component_clause,[],[f152])).
% 0.78/0.39 thf(f155,plain,(
% 0.78/0.39 spl31_7 | spl31_8),
% 0.78/0.39 inference(avatar_split_clause,[],[f58,f152,f148])).
% 0.78/0.39 thf(f157,definition,(
% 0.78/0.39 spl31_9 <=> ($true = sF6)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition])).
% 0.78/0.39 thf(f158,plain,(
% 0.78/0.39 ($true != sF6) | spl31_9),
% 0.78/0.39 inference(avatar_component_clause,[],[f157])).
% 0.78/0.39 thf(f159,plain,(
% 0.78/0.39 ($true = sF6) | ~spl31_9),
% 0.78/0.39 inference(avatar_component_clause,[],[f157])).
% 0.78/0.39 thf(f161,definition,(
% 0.78/0.39 spl31_10 <=> (((f4 @ sF5)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition])).
% 0.78/0.39 thf(f163,plain,(
% 0.78/0.39 (((f4 @ sF5)) = $false) | ~spl31_10),
% 0.78/0.39 inference(avatar_component_clause,[],[f161])).
% 0.78/0.39 thf(f164,plain,(
% 0.78/0.39 spl31_9 | spl31_10),
% 0.78/0.39 inference(avatar_split_clause,[],[f61,f161,f157])).
% 0.78/0.39 thf(f166,definition,(
% 0.78/0.39 spl31_11 <=> ($true = ((f4 @ sF5)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition])).
% 0.78/0.39 thf(f168,plain,(
% 0.78/0.39 ($true = ((f4 @ sF5))) | ~spl31_11),
% 0.78/0.39 inference(avatar_component_clause,[],[f166])).
% 0.78/0.39 thf(f170,definition,(
% 0.78/0.39 spl31_12 <=> (sF6 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition])).
% 0.78/0.39 thf(f172,plain,(
% 0.78/0.39 (sF6 = $false) | ~spl31_12),
% 0.78/0.39 inference(avatar_component_clause,[],[f170])).
% 0.78/0.39 thf(f173,plain,(
% 0.78/0.39 spl31_11 | spl31_12),
% 0.78/0.39 inference(avatar_split_clause,[],[f60,f170,f166])).
% 0.78/0.39 thf(f175,definition,(
% 0.78/0.39 spl31_13 <=> ($true = ((f2 @ sF25)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition])).
% 0.78/0.39 thf(f176,plain,(
% 0.78/0.39 ($true != ((f2 @ sF25))) | spl31_13),
% 0.78/0.39 inference(avatar_component_clause,[],[f175])).
% 0.78/0.39 thf(f177,plain,(
% 0.78/0.39 ($true = ((f2 @ sF25))) | ~spl31_13),
% 0.78/0.39 inference(avatar_component_clause,[],[f175])).
% 0.78/0.39 thf(f179,definition,(
% 0.78/0.39 spl31_14 <=> (sF26 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition])).
% 0.78/0.39 thf(f180,plain,(
% 0.78/0.39 (sF26 != $false) | spl31_14),
% 0.78/0.39 inference(avatar_component_clause,[],[f179])).
% 0.78/0.39 thf(f181,plain,(
% 0.78/0.39 (sF26 = $false) | ~spl31_14),
% 0.78/0.39 inference(avatar_component_clause,[],[f179])).
% 0.78/0.39 thf(f182,plain,(
% 0.78/0.39 spl31_13 | spl31_14),
% 0.78/0.39 inference(avatar_split_clause,[],[f63,f179,f175])).
% 0.78/0.39 thf(f184,definition,(
% 0.78/0.39 spl31_15 <=> (sF26 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition])).
% 0.78/0.39 thf(f185,plain,(
% 0.78/0.39 (sF26 != $true) | spl31_15),
% 0.78/0.39 inference(avatar_component_clause,[],[f184])).
% 0.78/0.39 thf(f186,plain,(
% 0.78/0.39 (sF26 = $true) | ~spl31_15),
% 0.78/0.39 inference(avatar_component_clause,[],[f184])).
% 0.78/0.39 thf(f188,definition,(
% 0.78/0.39 spl31_16 <=> (((f2 @ sF25)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_16])],[avatar_definition])).
% 0.78/0.39 thf(f190,plain,(
% 0.78/0.39 (((f2 @ sF25)) = $false) | ~spl31_16),
% 0.78/0.39 inference(avatar_component_clause,[],[f188])).
% 0.78/0.39 thf(f191,plain,(
% 0.78/0.39 spl31_15 | spl31_16),
% 0.78/0.39 inference(avatar_split_clause,[],[f62,f188,f184])).
% 0.78/0.39 thf(f193,definition,(
% 0.78/0.39 spl31_17 <=> (((f7 @ x)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition])).
% 0.78/0.39 thf(f194,plain,(
% 0.78/0.39 (((f7 @ x)) != $false) | spl31_17),
% 0.78/0.39 inference(avatar_component_clause,[],[f193])).
% 0.78/0.39 thf(f195,plain,(
% 0.78/0.39 (((f7 @ x)) = $false) | ~spl31_17),
% 0.78/0.39 inference(avatar_component_clause,[],[f193])).
% 0.78/0.39 thf(f197,definition,(
% 0.78/0.39 spl31_18 <=> (sF0 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition])).
% 0.78/0.39 thf(f198,plain,(
% 0.78/0.39 (sF0 != $true) | spl31_18),
% 0.78/0.39 inference(avatar_component_clause,[],[f197])).
% 0.78/0.39 thf(f199,plain,(
% 0.78/0.39 (sF0 = $true) | ~spl31_18),
% 0.78/0.39 inference(avatar_component_clause,[],[f197])).
% 0.78/0.39 thf(f200,plain,(
% 0.78/0.39 spl31_17 | spl31_18),
% 0.78/0.39 inference(avatar_split_clause,[],[f65,f197,f193])).
% 0.78/0.39 thf(f202,definition,(
% 0.78/0.39 spl31_19 <=> (((f7 @ x)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_19])],[avatar_definition])).
% 0.78/0.39 thf(f204,plain,(
% 0.78/0.39 (((f7 @ x)) = $true) | ~spl31_19),
% 0.78/0.39 inference(avatar_component_clause,[],[f202])).
% 0.78/0.39 thf(f206,definition,(
% 0.78/0.39 spl31_20 <=> (sF0 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition])).
% 0.78/0.39 thf(f208,plain,(
% 0.78/0.39 (sF0 = $false) | ~spl31_20),
% 0.78/0.39 inference(avatar_component_clause,[],[f206])).
% 0.78/0.39 thf(f209,plain,(
% 0.78/0.39 spl31_19 | spl31_20),
% 0.78/0.39 inference(avatar_split_clause,[],[f64,f206,f202])).
% 0.78/0.39 thf(f211,definition,(
% 0.78/0.39 spl31_21 <=> (((f6 @ sF2)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition])).
% 0.78/0.39 thf(f212,plain,(
% 0.78/0.39 (((f6 @ sF2)) != $true) | spl31_21),
% 0.78/0.39 inference(avatar_component_clause,[],[f211])).
% 0.78/0.39 thf(f213,plain,(
% 0.78/0.39 (((f6 @ sF2)) = $true) | ~spl31_21),
% 0.78/0.39 inference(avatar_component_clause,[],[f211])).
% 0.78/0.39 thf(f215,definition,(
% 0.78/0.39 spl31_22 <=> (sF3 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition])).
% 0.78/0.39 thf(f217,plain,(
% 0.78/0.39 (sF3 = $false) | ~spl31_22),
% 0.78/0.39 inference(avatar_component_clause,[],[f215])).
% 0.78/0.39 thf(f218,plain,(
% 0.78/0.39 spl31_21 | spl31_22),
% 0.78/0.39 inference(avatar_split_clause,[],[f67,f215,f211])).
% 0.78/0.39 thf(f220,definition,(
% 0.78/0.39 spl31_23 <=> (((f6 @ sF2)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_23])],[avatar_definition])).
% 0.78/0.39 thf(f221,plain,(
% 0.78/0.39 (((f6 @ sF2)) != $false) | spl31_23),
% 0.78/0.39 inference(avatar_component_clause,[],[f220])).
% 0.78/0.39 thf(f222,plain,(
% 0.78/0.39 (((f6 @ sF2)) = $false) | ~spl31_23),
% 0.78/0.39 inference(avatar_component_clause,[],[f220])).
% 0.78/0.39 thf(f224,definition,(
% 0.78/0.39 spl31_24 <=> (sF3 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_24])],[avatar_definition])).
% 0.78/0.39 thf(f226,plain,(
% 0.78/0.39 (sF3 = $true) | ~spl31_24),
% 0.78/0.39 inference(avatar_component_clause,[],[f224])).
% 0.78/0.39 thf(f227,plain,(
% 0.78/0.39 spl31_23 | spl31_24),
% 0.78/0.39 inference(avatar_split_clause,[],[f66,f224,f220])).
% 0.78/0.39 thf(f229,definition,(
% 0.78/0.39 spl31_25 <=> ($true = sF12)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_25])],[avatar_definition])).
% 0.78/0.39 thf(f231,plain,(
% 0.78/0.39 ($true = sF12) | ~spl31_25),
% 0.78/0.39 inference(avatar_component_clause,[],[f229])).
% 0.78/0.39 thf(f233,definition,(
% 0.78/0.39 spl31_26 <=> (((f1 @ sF11)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition])).
% 0.78/0.39 thf(f235,plain,(
% 0.78/0.39 (((f1 @ sF11)) = $false) | ~spl31_26),
% 0.78/0.39 inference(avatar_component_clause,[],[f233])).
% 0.78/0.39 thf(f236,plain,(
% 0.78/0.39 spl31_25 | spl31_26),
% 0.78/0.39 inference(avatar_split_clause,[],[f69,f233,f229])).
% 0.78/0.39 thf(f238,definition,(
% 0.78/0.39 spl31_27 <=> (((f1 @ sF11)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_27])],[avatar_definition])).
% 0.78/0.39 thf(f240,plain,(
% 0.78/0.39 (((f1 @ sF11)) = $true) | ~spl31_27),
% 0.78/0.39 inference(avatar_component_clause,[],[f238])).
% 0.78/0.39 thf(f242,definition,(
% 0.78/0.39 spl31_28 <=> (sF12 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_28])],[avatar_definition])).
% 0.78/0.39 thf(f244,plain,(
% 0.78/0.39 (sF12 = $false) | ~spl31_28),
% 0.78/0.39 inference(avatar_component_clause,[],[f242])).
% 0.78/0.39 thf(f245,plain,(
% 0.78/0.39 spl31_27 | spl31_28),
% 0.78/0.39 inference(avatar_split_clause,[],[f68,f242,f238])).
% 0.78/0.39 thf(f247,definition,(
% 0.78/0.39 spl31_29 <=> ($true = ((f0 @ sF29)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_29])],[avatar_definition])).
% 0.78/0.39 thf(f248,plain,(
% 0.78/0.39 ($true != ((f0 @ sF29))) | spl31_29),
% 0.78/0.39 inference(avatar_component_clause,[],[f247])).
% 0.78/0.39 thf(f249,plain,(
% 0.78/0.39 ($true = ((f0 @ sF29))) | ~spl31_29),
% 0.78/0.39 inference(avatar_component_clause,[],[f247])).
% 0.78/0.39 thf(f251,definition,(
% 0.78/0.39 spl31_30 <=> (sF30 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition])).
% 0.78/0.39 thf(f253,plain,(
% 0.78/0.39 (sF30 = $false) | ~spl31_30),
% 0.78/0.39 inference(avatar_component_clause,[],[f251])).
% 0.78/0.39 thf(f254,plain,(
% 0.78/0.39 spl31_29 | spl31_30),
% 0.78/0.39 inference(avatar_split_clause,[],[f71,f251,f247])).
% 0.78/0.39 thf(f256,definition,(
% 0.78/0.39 spl31_31 <=> ($true = sF30)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_31])],[avatar_definition])).
% 0.78/0.39 thf(f258,plain,(
% 0.78/0.39 ($true = sF30) | ~spl31_31),
% 0.78/0.39 inference(avatar_component_clause,[],[f256])).
% 0.78/0.39 thf(f260,definition,(
% 0.78/0.39 spl31_32 <=> (((f0 @ sF29)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_32])],[avatar_definition])).
% 0.78/0.39 thf(f262,plain,(
% 0.78/0.39 (((f0 @ sF29)) = $false) | ~spl31_32),
% 0.78/0.39 inference(avatar_component_clause,[],[f260])).
% 0.78/0.39 thf(f263,plain,(
% 0.78/0.39 spl31_31 | spl31_32),
% 0.78/0.39 inference(avatar_split_clause,[],[f70,f260,f256])).
% 0.78/0.39 thf(f265,definition,(
% 0.78/0.39 spl31_33 <=> ($true = ((f7 @ sF0)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_33])],[avatar_definition])).
% 0.78/0.39 thf(f267,plain,(
% 0.78/0.39 ($true = ((f7 @ sF0))) | ~spl31_33),
% 0.78/0.39 inference(avatar_component_clause,[],[f265])).
% 0.78/0.39 thf(f269,definition,(
% 0.78/0.39 spl31_34 <=> (sF16 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_34])],[avatar_definition])).
% 0.78/0.39 thf(f270,plain,(
% 0.78/0.39 (sF16 != $false) | spl31_34),
% 0.78/0.39 inference(avatar_component_clause,[],[f269])).
% 0.78/0.39 thf(f271,plain,(
% 0.78/0.39 (sF16 = $false) | ~spl31_34),
% 0.78/0.39 inference(avatar_component_clause,[],[f269])).
% 0.78/0.39 thf(f272,plain,(
% 0.78/0.39 spl31_33 | spl31_34),
% 0.78/0.39 inference(avatar_split_clause,[],[f73,f269,f265])).
% 0.78/0.39 thf(f274,definition,(
% 0.78/0.39 spl31_35 <=> ($false = ((f7 @ sF0)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_35])],[avatar_definition])).
% 0.78/0.39 thf(f276,plain,(
% 0.78/0.39 ($false = ((f7 @ sF0))) | ~spl31_35),
% 0.78/0.39 inference(avatar_component_clause,[],[f274])).
% 0.78/0.39 thf(f278,definition,(
% 0.78/0.39 spl31_36 <=> ($true = sF16)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_36])],[avatar_definition])).
% 0.78/0.39 thf(f279,plain,(
% 0.78/0.39 ($true != sF16) | spl31_36),
% 0.78/0.39 inference(avatar_component_clause,[],[f278])).
% 0.78/0.39 thf(f280,plain,(
% 0.78/0.39 ($true = sF16) | ~spl31_36),
% 0.78/0.39 inference(avatar_component_clause,[],[f278])).
% 0.78/0.39 thf(f281,plain,(
% 0.78/0.39 spl31_35 | spl31_36),
% 0.78/0.39 inference(avatar_split_clause,[],[f72,f278,f274])).
% 0.78/0.39 thf(f283,definition,(
% 0.78/0.39 spl31_37 <=> (((f6 @ sF1)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_37])],[avatar_definition])).
% 0.78/0.39 thf(f284,plain,(
% 0.78/0.39 (((f6 @ sF1)) != $false) | spl31_37),
% 0.78/0.39 inference(avatar_component_clause,[],[f283])).
% 0.78/0.39 thf(f285,plain,(
% 0.78/0.39 (((f6 @ sF1)) = $false) | ~spl31_37),
% 0.78/0.39 inference(avatar_component_clause,[],[f283])).
% 0.78/0.39 thf(f287,definition,(
% 0.78/0.39 spl31_38 <=> ($true = sF2)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_38])],[avatar_definition])).
% 0.78/0.39 thf(f288,plain,(
% 0.78/0.39 ($true != sF2) | spl31_38),
% 0.78/0.39 inference(avatar_component_clause,[],[f287])).
% 0.78/0.39 thf(f289,plain,(
% 0.78/0.39 ($true = sF2) | ~spl31_38),
% 0.78/0.39 inference(avatar_component_clause,[],[f287])).
% 0.78/0.39 thf(f290,plain,(
% 0.78/0.39 spl31_37 | spl31_38),
% 0.78/0.39 inference(avatar_split_clause,[],[f75,f287,f283])).
% 0.78/0.39 thf(f292,definition,(
% 0.78/0.39 spl31_39 <=> (sF2 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_39])],[avatar_definition])).
% 0.78/0.39 thf(f294,plain,(
% 0.78/0.39 (sF2 = $false) | ~spl31_39),
% 0.78/0.39 inference(avatar_component_clause,[],[f292])).
% 0.78/0.39 thf(f296,definition,(
% 0.78/0.39 spl31_40 <=> ($true = ((f6 @ sF1)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_40])],[avatar_definition])).
% 0.78/0.39 thf(f298,plain,(
% 0.78/0.39 ($true = ((f6 @ sF1))) | ~spl31_40),
% 0.78/0.39 inference(avatar_component_clause,[],[f296])).
% 0.78/0.39 thf(f299,plain,(
% 0.78/0.39 spl31_39 | spl31_40),
% 0.78/0.39 inference(avatar_split_clause,[],[f74,f296,f292])).
% 0.78/0.39 thf(f301,definition,(
% 0.78/0.39 spl31_41 <=> ($true = sF22)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_41])],[avatar_definition])).
% 0.78/0.39 thf(f302,plain,(
% 0.78/0.39 ($true != sF22) | spl31_41),
% 0.78/0.39 inference(avatar_component_clause,[],[f301])).
% 0.78/0.39 thf(f303,plain,(
% 0.78/0.39 ($true = sF22) | ~spl31_41),
% 0.78/0.39 inference(avatar_component_clause,[],[f301])).
% 0.78/0.39 thf(f305,definition,(
% 0.78/0.39 spl31_42 <=> (((f4 @ sF21)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_42])],[avatar_definition])).
% 0.78/0.39 thf(f306,plain,(
% 0.78/0.39 (((f4 @ sF21)) != $false) | spl31_42),
% 0.78/0.39 inference(avatar_component_clause,[],[f305])).
% 0.78/0.39 thf(f307,plain,(
% 0.78/0.39 (((f4 @ sF21)) = $false) | ~spl31_42),
% 0.78/0.39 inference(avatar_component_clause,[],[f305])).
% 0.78/0.39 thf(f308,plain,(
% 0.78/0.39 spl31_41 | spl31_42),
% 0.78/0.39 inference(avatar_split_clause,[],[f77,f305,f301])).
% 0.78/0.39 thf(f310,definition,(
% 0.78/0.39 spl31_43 <=> (sF22 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_43])],[avatar_definition])).
% 0.78/0.39 thf(f312,plain,(
% 0.78/0.39 (sF22 = $false) | ~spl31_43),
% 0.78/0.39 inference(avatar_component_clause,[],[f310])).
% 0.78/0.39 thf(f314,definition,(
% 0.78/0.39 spl31_44 <=> ($true = ((f4 @ sF21)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_44])],[avatar_definition])).
% 0.78/0.39 thf(f315,plain,(
% 0.78/0.39 ($true != ((f4 @ sF21))) | spl31_44),
% 0.78/0.39 inference(avatar_component_clause,[],[f314])).
% 0.78/0.39 thf(f316,plain,(
% 0.78/0.39 ($true = ((f4 @ sF21))) | ~spl31_44),
% 0.78/0.39 inference(avatar_component_clause,[],[f314])).
% 0.78/0.39 thf(f317,plain,(
% 0.78/0.39 spl31_43 | spl31_44),
% 0.78/0.39 inference(avatar_split_clause,[],[f76,f314,f310])).
% 0.78/0.39 thf(f319,definition,(
% 0.78/0.39 spl31_45 <=> ($true = sF18)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_45])],[avatar_definition])).
% 0.78/0.39 thf(f321,plain,(
% 0.78/0.39 ($true = sF18) | ~spl31_45),
% 0.78/0.39 inference(avatar_component_clause,[],[f319])).
% 0.78/0.39 thf(f323,definition,(
% 0.78/0.39 spl31_46 <=> (((f6 @ sF17)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_46])],[avatar_definition])).
% 0.78/0.39 thf(f325,plain,(
% 0.78/0.39 (((f6 @ sF17)) = $false) | ~spl31_46),
% 0.78/0.39 inference(avatar_component_clause,[],[f323])).
% 0.78/0.39 thf(f326,plain,(
% 0.78/0.39 spl31_45 | spl31_46),
% 0.78/0.39 inference(avatar_split_clause,[],[f79,f323,f319])).
% 0.78/0.39 thf(f328,definition,(
% 0.78/0.39 spl31_47 <=> (sF18 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_47])],[avatar_definition])).
% 0.78/0.39 thf(f330,plain,(
% 0.78/0.39 (sF18 = $false) | ~spl31_47),
% 0.78/0.39 inference(avatar_component_clause,[],[f328])).
% 0.78/0.39 thf(f332,definition,(
% 0.78/0.39 spl31_48 <=> ($true = ((f6 @ sF17)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_48])],[avatar_definition])).
% 0.78/0.39 thf(f333,plain,(
% 0.78/0.39 ($true != ((f6 @ sF17))) | spl31_48),
% 0.78/0.39 inference(avatar_component_clause,[],[f332])).
% 0.78/0.39 thf(f334,plain,(
% 0.78/0.39 ($true = ((f6 @ sF17))) | ~spl31_48),
% 0.78/0.39 inference(avatar_component_clause,[],[f332])).
% 0.78/0.39 thf(f335,plain,(
% 0.78/0.39 spl31_47 | spl31_48),
% 0.78/0.39 inference(avatar_split_clause,[],[f78,f332,f328])).
% 0.78/0.39 thf(f337,definition,(
% 0.78/0.39 spl31_49 <=> ($true = ((f5 @ sF18)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_49])],[avatar_definition])).
% 0.78/0.39 thf(f338,plain,(
% 0.78/0.39 ($true != ((f5 @ sF18))) | spl31_49),
% 0.78/0.39 inference(avatar_component_clause,[],[f337])).
% 0.78/0.39 thf(f339,plain,(
% 0.78/0.39 ($true = ((f5 @ sF18))) | ~spl31_49),
% 0.78/0.39 inference(avatar_component_clause,[],[f337])).
% 0.78/0.39 thf(f341,definition,(
% 0.78/0.39 spl31_50 <=> (sF19 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_50])],[avatar_definition])).
% 0.78/0.39 thf(f343,plain,(
% 0.78/0.39 (sF19 = $false) | ~spl31_50),
% 0.78/0.39 inference(avatar_component_clause,[],[f341])).
% 0.78/0.39 thf(f344,plain,(
% 0.78/0.39 spl31_49 | spl31_50),
% 0.78/0.39 inference(avatar_split_clause,[],[f81,f341,f337])).
% 0.78/0.39 thf(f346,definition,(
% 0.78/0.39 spl31_51 <=> (((f5 @ sF18)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_51])],[avatar_definition])).
% 0.78/0.39 thf(f348,plain,(
% 0.78/0.39 (((f5 @ sF18)) = $false) | ~spl31_51),
% 0.78/0.39 inference(avatar_component_clause,[],[f346])).
% 0.78/0.39 thf(f350,definition,(
% 0.78/0.39 spl31_52 <=> ($true = sF19)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_52])],[avatar_definition])).
% 0.78/0.39 thf(f352,plain,(
% 0.78/0.39 ($true = sF19) | ~spl31_52),
% 0.78/0.39 inference(avatar_component_clause,[],[f350])).
% 0.78/0.39 thf(f353,plain,(
% 0.78/0.39 spl31_51 | spl31_52),
% 0.78/0.39 inference(avatar_split_clause,[],[f80,f350,f346])).
% 0.78/0.39 thf(f355,definition,(
% 0.78/0.39 spl31_53 <=> ($true = sF9)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_53])],[avatar_definition])).
% 0.78/0.39 thf(f356,plain,(
% 0.78/0.39 ($true != sF9) | spl31_53),
% 0.78/0.39 inference(avatar_component_clause,[],[f355])).
% 0.78/0.39 thf(f357,plain,(
% 0.78/0.39 ($true = sF9) | ~spl31_53),
% 0.78/0.39 inference(avatar_component_clause,[],[f355])).
% 0.78/0.39 thf(f359,definition,(
% 0.78/0.39 spl31_54 <=> (((f2 @ sF8)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_54])],[avatar_definition])).
% 0.78/0.39 thf(f361,plain,(
% 0.78/0.39 (((f2 @ sF8)) = $false) | ~spl31_54),
% 0.78/0.39 inference(avatar_component_clause,[],[f359])).
% 0.78/0.39 thf(f362,plain,(
% 0.78/0.39 spl31_53 | spl31_54),
% 0.78/0.39 inference(avatar_split_clause,[],[f83,f359,f355])).
% 0.78/0.39 thf(f364,definition,(
% 0.78/0.39 spl31_55 <=> (sF9 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_55])],[avatar_definition])).
% 0.78/0.39 thf(f366,plain,(
% 0.78/0.39 (sF9 = $false) | ~spl31_55),
% 0.78/0.39 inference(avatar_component_clause,[],[f364])).
% 0.78/0.39 thf(f368,definition,(
% 0.78/0.39 spl31_56 <=> ($true = ((f2 @ sF8)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_56])],[avatar_definition])).
% 0.78/0.39 thf(f370,plain,(
% 0.78/0.39 ($true = ((f2 @ sF8))) | ~spl31_56),
% 0.78/0.39 inference(avatar_component_clause,[],[f368])).
% 0.78/0.39 thf(f371,plain,(
% 0.78/0.39 spl31_55 | spl31_56),
% 0.78/0.39 inference(avatar_split_clause,[],[f82,f368,f364])).
% 0.78/0.39 thf(f373,definition,(
% 0.78/0.39 spl31_57 <=> ($true = sF10)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_57])],[avatar_definition])).
% 0.78/0.39 thf(f374,plain,(
% 0.78/0.39 ($true != sF10) | spl31_57),
% 0.78/0.39 inference(avatar_component_clause,[],[f373])).
% 0.78/0.39 thf(f375,plain,(
% 0.78/0.39 ($true = sF10) | ~spl31_57),
% 0.78/0.39 inference(avatar_component_clause,[],[f373])).
% 0.78/0.39 thf(f377,definition,(
% 0.78/0.39 spl31_58 <=> (((f2 @ sF9)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_58])],[avatar_definition])).
% 0.78/0.39 thf(f378,plain,(
% 0.78/0.39 (((f2 @ sF9)) != $false) | spl31_58),
% 0.78/0.39 inference(avatar_component_clause,[],[f377])).
% 0.78/0.39 thf(f379,plain,(
% 0.78/0.39 (((f2 @ sF9)) = $false) | ~spl31_58),
% 0.78/0.39 inference(avatar_component_clause,[],[f377])).
% 0.78/0.39 thf(f380,plain,(
% 0.78/0.39 spl31_57 | spl31_58),
% 0.78/0.39 inference(avatar_split_clause,[],[f85,f377,f373])).
% 0.78/0.39 thf(f382,definition,(
% 0.78/0.39 spl31_59 <=> (sF10 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_59])],[avatar_definition])).
% 0.78/0.39 thf(f384,plain,(
% 0.78/0.39 (sF10 = $false) | ~spl31_59),
% 0.78/0.39 inference(avatar_component_clause,[],[f382])).
% 0.78/0.39 thf(f386,definition,(
% 0.78/0.39 spl31_60 <=> (((f2 @ sF9)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_60])],[avatar_definition])).
% 0.78/0.39 thf(f388,plain,(
% 0.78/0.39 (((f2 @ sF9)) = $true) | ~spl31_60),
% 0.78/0.39 inference(avatar_component_clause,[],[f386])).
% 0.78/0.39 thf(f389,plain,(
% 0.78/0.39 spl31_59 | spl31_60),
% 0.78/0.39 inference(avatar_split_clause,[],[f84,f386,f382])).
% 0.78/0.39 thf(f391,definition,(
% 0.78/0.39 spl31_61 <=> ($true = sF1)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_61])],[avatar_definition])).
% 0.78/0.39 thf(f393,plain,(
% 0.78/0.39 ($true = sF1) | ~spl31_61),
% 0.78/0.39 inference(avatar_component_clause,[],[f391])).
% 0.78/0.39 thf(f395,definition,(
% 0.78/0.39 spl31_62 <=> (((f6 @ sF0)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_62])],[avatar_definition])).
% 0.78/0.39 thf(f397,plain,(
% 0.78/0.39 (((f6 @ sF0)) = $false) | ~spl31_62),
% 0.78/0.39 inference(avatar_component_clause,[],[f395])).
% 0.78/0.39 thf(f398,plain,(
% 0.78/0.39 spl31_61 | spl31_62),
% 0.78/0.39 inference(avatar_split_clause,[],[f87,f395,f391])).
% 0.78/0.39 thf(f400,definition,(
% 0.78/0.39 spl31_63 <=> (sF1 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_63])],[avatar_definition])).
% 0.78/0.39 thf(f402,plain,(
% 0.78/0.39 (sF1 = $false) | ~spl31_63),
% 0.78/0.39 inference(avatar_component_clause,[],[f400])).
% 0.78/0.39 thf(f404,definition,(
% 0.78/0.39 spl31_64 <=> (((f6 @ sF0)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_64])],[avatar_definition])).
% 0.78/0.39 thf(f405,plain,(
% 0.78/0.39 (((f6 @ sF0)) != $true) | spl31_64),
% 0.78/0.39 inference(avatar_component_clause,[],[f404])).
% 0.78/0.39 thf(f406,plain,(
% 0.78/0.39 (((f6 @ sF0)) = $true) | ~spl31_64),
% 0.78/0.39 inference(avatar_component_clause,[],[f404])).
% 0.78/0.39 thf(f407,plain,(
% 0.78/0.39 spl31_63 | spl31_64),
% 0.78/0.39 inference(avatar_split_clause,[],[f86,f404,f400])).
% 0.78/0.39 thf(f409,definition,(
% 0.78/0.39 spl31_65 <=> (sF29 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_65])],[avatar_definition])).
% 0.78/0.39 thf(f411,plain,(
% 0.78/0.39 (sF29 = $false) | ~spl31_65),
% 0.78/0.39 inference(avatar_component_clause,[],[f409])).
% 0.78/0.39 thf(f413,definition,(
% 0.78/0.39 spl31_66 <=> ($true = ((f1 @ sF28)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_66])],[avatar_definition])).
% 0.78/0.39 thf(f414,plain,(
% 0.78/0.39 ($true != ((f1 @ sF28))) | spl31_66),
% 0.78/0.39 inference(avatar_component_clause,[],[f413])).
% 0.78/0.39 thf(f415,plain,(
% 0.78/0.39 ($true = ((f1 @ sF28))) | ~spl31_66),
% 0.78/0.39 inference(avatar_component_clause,[],[f413])).
% 0.78/0.39 thf(f416,plain,(
% 0.78/0.39 spl31_65 | spl31_66),
% 0.78/0.39 inference(avatar_split_clause,[],[f89,f413,f409])).
% 0.78/0.39 thf(f418,definition,(
% 0.78/0.39 spl31_67 <=> (((f1 @ sF28)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_67])],[avatar_definition])).
% 0.78/0.39 thf(f420,plain,(
% 0.78/0.39 (((f1 @ sF28)) = $false) | ~spl31_67),
% 0.78/0.39 inference(avatar_component_clause,[],[f418])).
% 0.78/0.39 thf(f422,definition,(
% 0.78/0.39 spl31_68 <=> ($true = sF29)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_68])],[avatar_definition])).
% 0.78/0.39 thf(f424,plain,(
% 0.78/0.39 ($true = sF29) | ~spl31_68),
% 0.78/0.39 inference(avatar_component_clause,[],[f422])).
% 0.78/0.39 thf(f425,plain,(
% 0.78/0.39 spl31_67 | spl31_68),
% 0.78/0.39 inference(avatar_split_clause,[],[f88,f422,f418])).
% 0.78/0.39 thf(f427,definition,(
% 0.78/0.39 spl31_69 <=> ($true = ((f3 @ sF24)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_69])],[avatar_definition])).
% 0.78/0.39 thf(f428,plain,(
% 0.78/0.39 ($true != ((f3 @ sF24))) | spl31_69),
% 0.78/0.39 inference(avatar_component_clause,[],[f427])).
% 0.78/0.39 thf(f429,plain,(
% 0.78/0.39 ($true = ((f3 @ sF24))) | ~spl31_69),
% 0.78/0.39 inference(avatar_component_clause,[],[f427])).
% 0.78/0.39 thf(f431,definition,(
% 0.78/0.39 spl31_70 <=> (sF25 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_70])],[avatar_definition])).
% 0.78/0.39 thf(f433,plain,(
% 0.78/0.39 (sF25 = $false) | ~spl31_70),
% 0.78/0.39 inference(avatar_component_clause,[],[f431])).
% 0.78/0.39 thf(f434,plain,(
% 0.78/0.39 spl31_69 | spl31_70),
% 0.78/0.39 inference(avatar_split_clause,[],[f91,f431,f427])).
% 0.78/0.39 thf(f436,definition,(
% 0.78/0.39 spl31_71 <=> (((f3 @ sF24)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_71])],[avatar_definition])).
% 0.78/0.39 thf(f438,plain,(
% 0.78/0.39 (((f3 @ sF24)) = $false) | ~spl31_71),
% 0.78/0.39 inference(avatar_component_clause,[],[f436])).
% 0.78/0.39 thf(f440,definition,(
% 0.78/0.39 spl31_72 <=> (sF25 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_72])],[avatar_definition])).
% 0.78/0.39 thf(f442,plain,(
% 0.78/0.39 (sF25 = $true) | ~spl31_72),
% 0.78/0.39 inference(avatar_component_clause,[],[f440])).
% 0.78/0.39 thf(f443,plain,(
% 0.78/0.39 spl31_71 | spl31_72),
% 0.78/0.39 inference(avatar_split_clause,[],[f90,f440,f436])).
% 0.78/0.39 thf(f445,definition,(
% 0.78/0.39 spl31_73 <=> (sF24 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_73])],[avatar_definition])).
% 0.78/0.39 thf(f446,plain,(
% 0.78/0.39 (sF24 != $false) | spl31_73),
% 0.78/0.39 inference(avatar_component_clause,[],[f445])).
% 0.78/0.39 thf(f447,plain,(
% 0.78/0.39 (sF24 = $false) | ~spl31_73),
% 0.78/0.39 inference(avatar_component_clause,[],[f445])).
% 0.78/0.39 thf(f449,definition,(
% 0.78/0.39 spl31_74 <=> ($true = ((f3 @ sF23)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_74])],[avatar_definition])).
% 0.78/0.39 thf(f451,plain,(
% 0.78/0.39 ($true = ((f3 @ sF23))) | ~spl31_74),
% 0.78/0.39 inference(avatar_component_clause,[],[f449])).
% 0.78/0.39 thf(f452,plain,(
% 0.78/0.39 spl31_73 | spl31_74),
% 0.78/0.39 inference(avatar_split_clause,[],[f93,f449,f445])).
% 0.78/0.39 thf(f454,definition,(
% 0.78/0.39 spl31_75 <=> ($true = sF24)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_75])],[avatar_definition])).
% 0.78/0.39 thf(f455,plain,(
% 0.78/0.39 ($true != sF24) | spl31_75),
% 0.78/0.39 inference(avatar_component_clause,[],[f454])).
% 0.78/0.39 thf(f456,plain,(
% 0.78/0.39 ($true = sF24) | ~spl31_75),
% 0.78/0.39 inference(avatar_component_clause,[],[f454])).
% 0.78/0.39 thf(f458,definition,(
% 0.78/0.39 spl31_76 <=> (((f3 @ sF23)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_76])],[avatar_definition])).
% 0.78/0.39 thf(f460,plain,(
% 0.78/0.39 (((f3 @ sF23)) = $false) | ~spl31_76),
% 0.78/0.39 inference(avatar_component_clause,[],[f458])).
% 0.78/0.39 thf(f461,plain,(
% 0.78/0.39 spl31_75 | spl31_76),
% 0.78/0.39 inference(avatar_split_clause,[],[f92,f458,f454])).
% 0.78/0.39 thf(f463,definition,(
% 0.78/0.39 spl31_77 <=> (sF4 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_77])],[avatar_definition])).
% 0.78/0.39 thf(f465,plain,(
% 0.78/0.39 (sF4 = $false) | ~spl31_77),
% 0.78/0.39 inference(avatar_component_clause,[],[f463])).
% 0.78/0.39 thf(f467,definition,(
% 0.78/0.39 spl31_78 <=> ($true = ((f5 @ sF3)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_78])],[avatar_definition])).
% 0.78/0.39 thf(f468,plain,(
% 0.78/0.39 ($true != ((f5 @ sF3))) | spl31_78),
% 0.78/0.39 inference(avatar_component_clause,[],[f467])).
% 0.78/0.39 thf(f469,plain,(
% 0.78/0.39 ($true = ((f5 @ sF3))) | ~spl31_78),
% 0.78/0.39 inference(avatar_component_clause,[],[f467])).
% 0.78/0.39 thf(f470,plain,(
% 0.78/0.39 spl31_77 | spl31_78),
% 0.78/0.39 inference(avatar_split_clause,[],[f95,f467,f463])).
% 0.78/0.39 thf(f472,definition,(
% 0.78/0.39 spl31_79 <=> (sF4 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_79])],[avatar_definition])).
% 0.78/0.39 thf(f474,plain,(
% 0.78/0.39 (sF4 = $true) | ~spl31_79),
% 0.78/0.39 inference(avatar_component_clause,[],[f472])).
% 0.78/0.39 thf(f476,definition,(
% 0.78/0.39 spl31_80 <=> (((f5 @ sF3)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_80])],[avatar_definition])).
% 0.78/0.39 thf(f477,plain,(
% 0.78/0.39 (((f5 @ sF3)) != $false) | spl31_80),
% 0.78/0.39 inference(avatar_component_clause,[],[f476])).
% 0.78/0.39 thf(f478,plain,(
% 0.78/0.39 (((f5 @ sF3)) = $false) | ~spl31_80),
% 0.78/0.39 inference(avatar_component_clause,[],[f476])).
% 0.78/0.39 thf(f479,plain,(
% 0.78/0.39 spl31_79 | spl31_80),
% 0.78/0.39 inference(avatar_split_clause,[],[f94,f476,f472])).
% 0.78/0.39 thf(f481,definition,(
% 0.78/0.39 spl31_81 <=> (((f4 @ sF6)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_81])],[avatar_definition])).
% 0.78/0.39 thf(f483,plain,(
% 0.78/0.39 (((f4 @ sF6)) = $false) | ~spl31_81),
% 0.78/0.39 inference(avatar_component_clause,[],[f481])).
% 0.78/0.39 thf(f485,definition,(
% 0.78/0.39 spl31_82 <=> ($true = sF7)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_82])],[avatar_definition])).
% 0.78/0.39 thf(f486,plain,(
% 0.78/0.39 ($true != sF7) | spl31_82),
% 0.78/0.39 inference(avatar_component_clause,[],[f485])).
% 0.78/0.39 thf(f487,plain,(
% 0.78/0.39 ($true = sF7) | ~spl31_82),
% 0.78/0.39 inference(avatar_component_clause,[],[f485])).
% 0.78/0.39 thf(f488,plain,(
% 0.78/0.39 spl31_81 | spl31_82),
% 0.78/0.39 inference(avatar_split_clause,[],[f97,f485,f481])).
% 0.78/0.39 thf(f490,definition,(
% 0.78/0.39 spl31_83 <=> (((f4 @ sF6)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_83])],[avatar_definition])).
% 0.78/0.39 thf(f492,plain,(
% 0.78/0.39 (((f4 @ sF6)) = $true) | ~spl31_83),
% 0.78/0.39 inference(avatar_component_clause,[],[f490])).
% 0.78/0.39 thf(f494,definition,(
% 0.78/0.39 spl31_84 <=> (sF7 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_84])],[avatar_definition])).
% 0.78/0.39 thf(f496,plain,(
% 0.78/0.39 (sF7 = $false) | ~spl31_84),
% 0.78/0.39 inference(avatar_component_clause,[],[f494])).
% 0.78/0.39 thf(f497,plain,(
% 0.78/0.39 spl31_83 | spl31_84),
% 0.78/0.39 inference(avatar_split_clause,[],[f96,f494,f490])).
% 0.78/0.39 thf(f499,definition,(
% 0.78/0.39 spl31_85 <=> (sF8 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_85])],[avatar_definition])).
% 0.78/0.39 thf(f501,plain,(
% 0.78/0.39 (sF8 = $false) | ~spl31_85),
% 0.78/0.39 inference(avatar_component_clause,[],[f499])).
% 0.78/0.39 thf(f503,definition,(
% 0.78/0.39 spl31_86 <=> ($true = ((f3 @ sF7)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_86])],[avatar_definition])).
% 0.78/0.39 thf(f504,plain,(
% 0.78/0.39 ($true != ((f3 @ sF7))) | spl31_86),
% 0.78/0.39 inference(avatar_component_clause,[],[f503])).
% 0.78/0.39 thf(f505,plain,(
% 0.78/0.39 ($true = ((f3 @ sF7))) | ~spl31_86),
% 0.78/0.39 inference(avatar_component_clause,[],[f503])).
% 0.78/0.39 thf(f506,plain,(
% 0.78/0.39 spl31_85 | spl31_86),
% 0.78/0.39 inference(avatar_split_clause,[],[f99,f503,f499])).
% 0.78/0.39 thf(f508,definition,(
% 0.78/0.39 spl31_87 <=> (((f3 @ sF7)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_87])],[avatar_definition])).
% 0.78/0.39 thf(f510,plain,(
% 0.78/0.39 (((f3 @ sF7)) = $false) | ~spl31_87),
% 0.78/0.39 inference(avatar_component_clause,[],[f508])).
% 0.78/0.39 thf(f512,definition,(
% 0.78/0.39 spl31_88 <=> ($true = sF8)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_88])],[avatar_definition])).
% 0.78/0.39 thf(f514,plain,(
% 0.78/0.39 ($true = sF8) | ~spl31_88),
% 0.78/0.39 inference(avatar_component_clause,[],[f512])).
% 0.78/0.39 thf(f515,plain,(
% 0.78/0.39 spl31_87 | spl31_88),
% 0.78/0.39 inference(avatar_split_clause,[],[f98,f512,f508])).
% 0.78/0.39 thf(f517,definition,(
% 0.78/0.39 spl31_89 <=> ($true = sF13)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_89])],[avatar_definition])).
% 0.78/0.39 thf(f519,plain,(
% 0.78/0.39 ($true = sF13) | ~spl31_89),
% 0.78/0.39 inference(avatar_component_clause,[],[f517])).
% 0.78/0.39 thf(f521,definition,(
% 0.78/0.39 spl31_90 <=> (((f0 @ sF12)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_90])],[avatar_definition])).
% 0.78/0.39 thf(f523,plain,(
% 0.78/0.39 (((f0 @ sF12)) = $false) | ~spl31_90),
% 0.78/0.39 inference(avatar_component_clause,[],[f521])).
% 0.78/0.39 thf(f524,plain,(
% 0.78/0.39 spl31_89 | spl31_90),
% 0.78/0.39 inference(avatar_split_clause,[],[f101,f521,f517])).
% 0.78/0.39 thf(f526,definition,(
% 0.78/0.39 spl31_91 <=> (sF13 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_91])],[avatar_definition])).
% 0.78/0.39 thf(f528,plain,(
% 0.78/0.39 (sF13 = $false) | ~spl31_91),
% 0.78/0.39 inference(avatar_component_clause,[],[f526])).
% 0.78/0.39 thf(f530,definition,(
% 0.78/0.39 spl31_92 <=> ($true = ((f0 @ sF12)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_92])],[avatar_definition])).
% 0.78/0.39 thf(f532,plain,(
% 0.78/0.39 ($true = ((f0 @ sF12))) | ~spl31_92),
% 0.78/0.39 inference(avatar_component_clause,[],[f530])).
% 0.78/0.39 thf(f533,plain,(
% 0.78/0.39 spl31_91 | spl31_92),
% 0.78/0.39 inference(avatar_split_clause,[],[f100,f530,f526])).
% 0.78/0.39 thf(f535,definition,(
% 0.78/0.39 spl31_93 <=> (sF15 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_93])],[avatar_definition])).
% 0.78/0.39 thf(f537,plain,(
% 0.78/0.39 (sF15 = $true) | ~spl31_93),
% 0.78/0.39 inference(avatar_component_clause,[],[f535])).
% 0.78/0.39 thf(f539,definition,(
% 0.78/0.39 spl31_94 <=> (((f0 @ sF14)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_94])],[avatar_definition])).
% 0.78/0.39 thf(f541,plain,(
% 0.78/0.39 (((f0 @ sF14)) = $false) | ~spl31_94),
% 0.78/0.39 inference(avatar_component_clause,[],[f539])).
% 0.78/0.39 thf(f542,plain,(
% 0.78/0.39 spl31_93 | spl31_94),
% 0.78/0.39 inference(avatar_split_clause,[],[f103,f539,f535])).
% 0.78/0.39 thf(f544,definition,(
% 0.78/0.39 spl31_95 <=> (sF15 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_95])],[avatar_definition])).
% 0.78/0.39 thf(f546,plain,(
% 0.78/0.39 (sF15 = $false) | ~spl31_95),
% 0.78/0.39 inference(avatar_component_clause,[],[f544])).
% 0.78/0.39 thf(f548,definition,(
% 0.78/0.39 spl31_96 <=> (((f0 @ sF14)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_96])],[avatar_definition])).
% 0.78/0.39 thf(f550,plain,(
% 0.78/0.39 (((f0 @ sF14)) = $true) | ~spl31_96),
% 0.78/0.39 inference(avatar_component_clause,[],[f548])).
% 0.78/0.39 thf(f551,plain,(
% 0.78/0.39 spl31_95 | spl31_96),
% 0.78/0.39 inference(avatar_split_clause,[],[f102,f548,f544])).
% 0.78/0.39 thf(f553,definition,(
% 0.78/0.39 spl31_97 <=> ($true = ((f5 @ sF19)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_97])],[avatar_definition])).
% 0.78/0.39 thf(f554,plain,(
% 0.78/0.39 ($true != ((f5 @ sF19))) | spl31_97),
% 0.78/0.39 inference(avatar_component_clause,[],[f553])).
% 0.78/0.39 thf(f555,plain,(
% 0.78/0.39 ($true = ((f5 @ sF19))) | ~spl31_97),
% 0.78/0.39 inference(avatar_component_clause,[],[f553])).
% 0.78/0.39 thf(f557,definition,(
% 0.78/0.39 spl31_98 <=> (sF20 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_98])],[avatar_definition])).
% 0.78/0.39 thf(f559,plain,(
% 0.78/0.39 (sF20 = $false) | ~spl31_98),
% 0.78/0.39 inference(avatar_component_clause,[],[f557])).
% 0.78/0.39 thf(f560,plain,(
% 0.78/0.39 spl31_97 | spl31_98),
% 0.78/0.39 inference(avatar_split_clause,[],[f105,f557,f553])).
% 0.78/0.39 thf(f562,definition,(
% 0.78/0.39 spl31_99 <=> ($true = sF20)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_99])],[avatar_definition])).
% 0.78/0.39 thf(f564,plain,(
% 0.78/0.39 ($true = sF20) | ~spl31_99),
% 0.78/0.39 inference(avatar_component_clause,[],[f562])).
% 0.78/0.39 thf(f566,definition,(
% 0.78/0.39 spl31_100 <=> (((f5 @ sF19)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_100])],[avatar_definition])).
% 0.78/0.39 thf(f567,plain,(
% 0.78/0.39 (((f5 @ sF19)) != $false) | spl31_100),
% 0.78/0.39 inference(avatar_component_clause,[],[f566])).
% 0.78/0.39 thf(f568,plain,(
% 0.78/0.39 (((f5 @ sF19)) = $false) | ~spl31_100),
% 0.78/0.39 inference(avatar_component_clause,[],[f566])).
% 0.78/0.39 thf(f569,plain,(
% 0.78/0.39 spl31_99 | spl31_100),
% 0.78/0.39 inference(avatar_split_clause,[],[f104,f566,f562])).
% 0.78/0.39 thf(f571,definition,(
% 0.78/0.39 spl31_101 <=> ($true = sF17)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_101])],[avatar_definition])).
% 0.78/0.39 thf(f572,plain,(
% 0.78/0.39 ($true != sF17) | spl31_101),
% 0.78/0.39 inference(avatar_component_clause,[],[f571])).
% 0.78/0.39 thf(f573,plain,(
% 0.78/0.39 ($true = sF17) | ~spl31_101),
% 0.78/0.39 inference(avatar_component_clause,[],[f571])).
% 0.78/0.39 thf(f575,definition,(
% 0.78/0.39 spl31_102 <=> (((f7 @ sF16)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_102])],[avatar_definition])).
% 0.78/0.39 thf(f576,plain,(
% 0.78/0.39 (((f7 @ sF16)) != $false) | spl31_102),
% 0.78/0.39 inference(avatar_component_clause,[],[f575])).
% 0.78/0.39 thf(f577,plain,(
% 0.78/0.39 (((f7 @ sF16)) = $false) | ~spl31_102),
% 0.78/0.39 inference(avatar_component_clause,[],[f575])).
% 0.78/0.39 thf(f578,plain,(
% 0.78/0.39 spl31_101 | spl31_102),
% 0.78/0.39 inference(avatar_split_clause,[],[f107,f575,f571])).
% 0.78/0.39 thf(f580,definition,(
% 0.78/0.39 spl31_103 <=> (sF17 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_103])],[avatar_definition])).
% 0.78/0.39 thf(f582,plain,(
% 0.78/0.39 (sF17 = $false) | ~spl31_103),
% 0.78/0.39 inference(avatar_component_clause,[],[f580])).
% 0.78/0.39 thf(f584,definition,(
% 0.78/0.39 spl31_104 <=> ($true = ((f7 @ sF16)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_104])],[avatar_definition])).
% 0.78/0.39 thf(f585,plain,(
% 0.78/0.39 ($true != ((f7 @ sF16))) | spl31_104),
% 0.78/0.39 inference(avatar_component_clause,[],[f584])).
% 0.78/0.39 thf(f586,plain,(
% 0.78/0.39 ($true = ((f7 @ sF16))) | ~spl31_104),
% 0.78/0.39 inference(avatar_component_clause,[],[f584])).
% 0.78/0.39 thf(f587,plain,(
% 0.78/0.39 spl31_103 | spl31_104),
% 0.78/0.39 inference(avatar_split_clause,[],[f106,f584,f580])).
% 0.78/0.39 thf(f589,definition,(
% 0.78/0.39 spl31_105 <=> (((f2 @ sF10)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_105])],[avatar_definition])).
% 0.78/0.39 thf(f591,plain,(
% 0.78/0.39 (((f2 @ sF10)) = $false) | ~spl31_105),
% 0.78/0.39 inference(avatar_component_clause,[],[f589])).
% 0.78/0.39 thf(f593,definition,(
% 0.78/0.39 spl31_106 <=> ($true = sF11)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_106])],[avatar_definition])).
% 0.78/0.39 thf(f595,plain,(
% 0.78/0.39 ($true = sF11) | ~spl31_106),
% 0.78/0.39 inference(avatar_component_clause,[],[f593])).
% 0.78/0.39 thf(f596,plain,(
% 0.78/0.39 spl31_105 | spl31_106),
% 0.78/0.39 inference(avatar_split_clause,[],[f109,f593,f589])).
% 0.78/0.39 thf(f598,definition,(
% 0.78/0.39 spl31_107 <=> (sF11 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_107])],[avatar_definition])).
% 0.78/0.39 thf(f600,plain,(
% 0.78/0.39 (sF11 = $false) | ~spl31_107),
% 0.78/0.39 inference(avatar_component_clause,[],[f598])).
% 0.78/0.39 thf(f602,definition,(
% 0.78/0.39 spl31_108 <=> (((f2 @ sF10)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_108])],[avatar_definition])).
% 0.78/0.39 thf(f603,plain,(
% 0.78/0.39 (((f2 @ sF10)) != $true) | spl31_108),
% 0.78/0.39 inference(avatar_component_clause,[],[f602])).
% 0.78/0.39 thf(f604,plain,(
% 0.78/0.39 (((f2 @ sF10)) = $true) | ~spl31_108),
% 0.78/0.39 inference(avatar_component_clause,[],[f602])).
% 0.78/0.39 thf(f605,plain,(
% 0.78/0.39 spl31_107 | spl31_108),
% 0.78/0.39 inference(avatar_split_clause,[],[f108,f602,f598])).
% 0.78/0.39 thf(f607,definition,(
% 0.78/0.39 spl31_109 <=> ($true = sF28)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_109])],[avatar_definition])).
% 0.78/0.39 thf(f608,plain,(
% 0.78/0.39 ($true != sF28) | spl31_109),
% 0.78/0.39 inference(avatar_component_clause,[],[f607])).
% 0.78/0.39 thf(f609,plain,(
% 0.78/0.39 ($true = sF28) | ~spl31_109),
% 0.78/0.39 inference(avatar_component_clause,[],[f607])).
% 0.78/0.39 thf(f611,definition,(
% 0.78/0.39 spl31_110 <=> (((f1 @ sF27)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_110])],[avatar_definition])).
% 0.78/0.39 thf(f613,plain,(
% 0.78/0.39 (((f1 @ sF27)) = $false) | ~spl31_110),
% 0.78/0.39 inference(avatar_component_clause,[],[f611])).
% 0.78/0.39 thf(f614,plain,(
% 0.78/0.39 spl31_109 | spl31_110),
% 0.78/0.39 inference(avatar_split_clause,[],[f111,f611,f607])).
% 0.78/0.39 thf(f616,definition,(
% 0.78/0.39 spl31_111 <=> ($true = ((f1 @ sF27)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_111])],[avatar_definition])).
% 0.78/0.39 thf(f618,plain,(
% 0.78/0.39 ($true = ((f1 @ sF27))) | ~spl31_111),
% 0.78/0.39 inference(avatar_component_clause,[],[f616])).
% 0.78/0.39 thf(f620,definition,(
% 0.78/0.39 spl31_112 <=> (sF28 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_112])],[avatar_definition])).
% 0.78/0.39 thf(f622,plain,(
% 0.78/0.39 (sF28 = $false) | ~spl31_112),
% 0.78/0.39 inference(avatar_component_clause,[],[f620])).
% 0.78/0.39 thf(f623,plain,(
% 0.78/0.39 spl31_111 | spl31_112),
% 0.78/0.39 inference(avatar_split_clause,[],[f110,f620,f616])).
% 0.78/0.39 thf(f625,definition,(
% 0.78/0.39 spl31_113 <=> (sF14 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_113])],[avatar_definition])).
% 0.78/0.39 thf(f626,plain,(
% 0.78/0.39 (sF14 != $true) | spl31_113),
% 0.78/0.39 inference(avatar_component_clause,[],[f625])).
% 0.78/0.39 thf(f627,plain,(
% 0.78/0.39 (sF14 = $true) | ~spl31_113),
% 0.78/0.39 inference(avatar_component_clause,[],[f625])).
% 0.78/0.39 thf(f629,definition,(
% 0.78/0.39 spl31_114 <=> (((f0 @ sF13)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_114])],[avatar_definition])).
% 0.78/0.39 thf(f631,plain,(
% 0.78/0.39 (((f0 @ sF13)) = $false) | ~spl31_114),
% 0.78/0.39 inference(avatar_component_clause,[],[f629])).
% 0.78/0.39 thf(f632,plain,(
% 0.78/0.39 spl31_113 | spl31_114),
% 0.78/0.39 inference(avatar_split_clause,[],[f113,f629,f625])).
% 0.78/0.39 thf(f634,definition,(
% 0.78/0.39 spl31_115 <=> (((f0 @ sF13)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_115])],[avatar_definition])).
% 0.78/0.39 thf(f636,plain,(
% 0.78/0.39 (((f0 @ sF13)) = $true) | ~spl31_115),
% 0.78/0.39 inference(avatar_component_clause,[],[f634])).
% 0.78/0.39 thf(f638,definition,(
% 0.78/0.39 spl31_116 <=> (sF14 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_116])],[avatar_definition])).
% 0.78/0.39 thf(f640,plain,(
% 0.78/0.39 (sF14 = $false) | ~spl31_116),
% 0.78/0.39 inference(avatar_component_clause,[],[f638])).
% 0.78/0.39 thf(f641,plain,(
% 0.78/0.39 spl31_115 | spl31_116),
% 0.78/0.39 inference(avatar_split_clause,[],[f112,f638,f634])).
% 0.78/0.39 thf(f643,definition,(
% 0.78/0.39 spl31_117 <=> ($true = ((f4 @ sF4)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_117])],[avatar_definition])).
% 0.78/0.39 thf(f645,plain,(
% 0.78/0.39 ($true = ((f4 @ sF4))) | ~spl31_117),
% 0.78/0.39 inference(avatar_component_clause,[],[f643])).
% 0.78/0.39 thf(f647,definition,(
% 0.78/0.39 spl31_118 <=> (sF5 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_118])],[avatar_definition])).
% 0.78/0.39 thf(f649,plain,(
% 0.78/0.39 (sF5 = $false) | ~spl31_118),
% 0.78/0.39 inference(avatar_component_clause,[],[f647])).
% 0.78/0.39 thf(f650,plain,(
% 0.78/0.39 spl31_117 | spl31_118),
% 0.78/0.39 inference(avatar_split_clause,[],[f115,f647,f643])).
% 0.78/0.39 thf(f652,definition,(
% 0.78/0.39 spl31_119 <=> (((f4 @ sF4)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_119])],[avatar_definition])).
% 0.78/0.39 thf(f653,plain,(
% 0.78/0.39 (((f4 @ sF4)) != $false) | spl31_119),
% 0.78/0.39 inference(avatar_component_clause,[],[f652])).
% 0.78/0.39 thf(f654,plain,(
% 0.78/0.39 (((f4 @ sF4)) = $false) | ~spl31_119),
% 0.78/0.39 inference(avatar_component_clause,[],[f652])).
% 0.78/0.39 thf(f656,definition,(
% 0.78/0.39 spl31_120 <=> (sF5 = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_120])],[avatar_definition])).
% 0.78/0.39 thf(f657,plain,(
% 0.78/0.39 (sF5 != $true) | spl31_120),
% 0.78/0.39 inference(avatar_component_clause,[],[f656])).
% 0.78/0.39 thf(f658,plain,(
% 0.78/0.39 (sF5 = $true) | ~spl31_120),
% 0.78/0.39 inference(avatar_component_clause,[],[f656])).
% 0.78/0.39 thf(f659,plain,(
% 0.78/0.39 spl31_119 | spl31_120),
% 0.78/0.39 inference(avatar_split_clause,[],[f114,f656,f652])).
% 0.78/0.39 thf(f661,definition,(
% 0.78/0.39 spl31_121 <=> ($true = ((f3 @ sF22)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_121])],[avatar_definition])).
% 0.78/0.39 thf(f662,plain,(
% 0.78/0.39 ($true != ((f3 @ sF22))) | spl31_121),
% 0.78/0.39 inference(avatar_component_clause,[],[f661])).
% 0.78/0.39 thf(f663,plain,(
% 0.78/0.39 ($true = ((f3 @ sF22))) | ~spl31_121),
% 0.78/0.39 inference(avatar_component_clause,[],[f661])).
% 0.78/0.39 thf(f665,definition,(
% 0.78/0.39 spl31_122 <=> (sF23 = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_122])],[avatar_definition])).
% 0.78/0.39 thf(f666,plain,(
% 0.78/0.39 (sF23 != $false) | spl31_122),
% 0.78/0.39 inference(avatar_component_clause,[],[f665])).
% 0.78/0.39 thf(f667,plain,(
% 0.78/0.39 (sF23 = $false) | ~spl31_122),
% 0.78/0.39 inference(avatar_component_clause,[],[f665])).
% 0.78/0.39 thf(f668,plain,(
% 0.78/0.39 spl31_121 | spl31_122),
% 0.78/0.39 inference(avatar_split_clause,[],[f117,f665,f661])).
% 0.78/0.39 thf(f670,definition,(
% 0.78/0.39 spl31_123 <=> ($true = sF23)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_123])],[avatar_definition])).
% 0.78/0.39 thf(f671,plain,(
% 0.78/0.39 ($true != sF23) | spl31_123),
% 0.78/0.39 inference(avatar_component_clause,[],[f670])).
% 0.78/0.39 thf(f672,plain,(
% 0.78/0.39 ($true = sF23) | ~spl31_123),
% 0.78/0.39 inference(avatar_component_clause,[],[f670])).
% 0.78/0.39 thf(f674,definition,(
% 0.78/0.39 spl31_124 <=> (((f3 @ sF22)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_124])],[avatar_definition])).
% 0.78/0.39 thf(f676,plain,(
% 0.78/0.39 (((f3 @ sF22)) = $false) | ~spl31_124),
% 0.78/0.39 inference(avatar_component_clause,[],[f674])).
% 0.78/0.39 thf(f677,plain,(
% 0.78/0.39 spl31_123 | spl31_124),
% 0.78/0.39 inference(avatar_split_clause,[],[f116,f674,f670])).
% 0.78/0.39 thf(f678,plain,(
% 0.78/0.39 spl31_95 | spl31_30),
% 0.78/0.39 inference(avatar_split_clause,[],[f119,f251,f544])).
% 0.78/0.39 thf(f679,plain,(
% 0.78/0.39 spl31_93 | spl31_31),
% 0.78/0.39 inference(avatar_split_clause,[],[f118,f256,f535])).
% 0.78/0.39 thf(f691,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_41 | ~spl31_43)),
% 0.78/0.39 inference(forward_demodulation,[],[f312,f303])).
% 0.78/0.39 thf(f692,plain,(
% 0.78/0.39 $false | (~spl31_41 | ~spl31_43)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f691])).
% 0.78/0.39 thf(f693,plain,(
% 0.78/0.39 ~spl31_41 | ~spl31_43),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f692])).
% 0.78/0.39 thf(f694,plain,(
% 0.78/0.39 (((f4 @ $true)) = $false) | (~spl31_2 | ~spl31_42)),
% 0.78/0.39 inference(forward_demodulation,[],[f307,f127])).
% 0.78/0.39 thf(f695,plain,(
% 0.78/0.39 (sF22 = $false) | ($true != $true) | spl31_41),
% 0.78/0.39 inference(constrained_superposition,[],[f302,f6])).
% 0.78/0.39 thf(f696,plain,(
% 0.78/0.39 (sF22 = $false) | spl31_41),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f695])).
% 0.78/0.39 thf(f697,plain,(
% 0.78/0.39 spl31_43 | spl31_41),
% 0.78/0.39 inference(avatar_split_clause,[],[f696,f301,f310])).
% 0.78/0.39 thf(f701,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_45 | ~spl31_47)),
% 0.78/0.39 inference(forward_demodulation,[],[f330,f321])).
% 0.78/0.39 thf(f702,plain,(
% 0.78/0.39 $false | (~spl31_45 | ~spl31_47)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f701])).
% 0.78/0.39 thf(f703,plain,(
% 0.78/0.39 ~spl31_45 | ~spl31_47),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f702])).
% 0.78/0.39 thf(f710,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_53 | ~spl31_55)),
% 0.78/0.39 inference(forward_demodulation,[],[f366,f357])).
% 0.78/0.39 thf(f711,plain,(
% 0.78/0.39 $false | (~spl31_53 | ~spl31_55)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f710])).
% 0.78/0.39 thf(f712,plain,(
% 0.78/0.39 ~spl31_53 | ~spl31_55),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f711])).
% 0.78/0.39 thf(f713,plain,(
% 0.78/0.39 ($true != $true) | (sF9 = $false) | spl31_53),
% 0.78/0.39 inference(constrained_superposition,[],[f356,f6])).
% 0.78/0.39 thf(f714,plain,(
% 0.78/0.39 (sF9 = $false) | spl31_53),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f713])).
% 0.78/0.39 thf(f715,plain,(
% 0.78/0.39 spl31_55 | spl31_53),
% 0.78/0.39 inference(avatar_split_clause,[],[f714,f355,f364])).
% 0.78/0.39 thf(f719,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_57 | ~spl31_59)),
% 0.78/0.39 inference(forward_demodulation,[],[f384,f375])).
% 0.78/0.39 thf(f720,plain,(
% 0.78/0.39 $false | (~spl31_57 | ~spl31_59)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f719])).
% 0.78/0.39 thf(f721,plain,(
% 0.78/0.39 ~spl31_57 | ~spl31_59),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f720])).
% 0.78/0.39 thf(f723,plain,(
% 0.78/0.39 ($true != $true) | (sF10 = $false) | spl31_57),
% 0.78/0.39 inference(constrained_superposition,[],[f374,f6])).
% 0.78/0.39 thf(f724,plain,(
% 0.78/0.39 (sF10 = $false) | spl31_57),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f723])).
% 0.78/0.39 thf(f725,plain,(
% 0.78/0.39 spl31_59 | spl31_57),
% 0.78/0.39 inference(avatar_split_clause,[],[f724,f373,f382])).
% 0.78/0.39 thf(f742,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_73 | ~spl31_75)),
% 0.78/0.39 inference(forward_demodulation,[],[f456,f447])).
% 0.78/0.39 thf(f743,plain,(
% 0.78/0.39 $false | (~spl31_73 | ~spl31_75)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f742])).
% 0.78/0.39 thf(f744,plain,(
% 0.78/0.39 ~spl31_73 | ~spl31_75),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f743])).
% 0.78/0.39 thf(f756,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_89 | ~spl31_91)),
% 0.78/0.39 inference(forward_demodulation,[],[f528,f519])).
% 0.78/0.39 thf(f757,plain,(
% 0.78/0.39 $false | (~spl31_89 | ~spl31_91)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f756])).
% 0.78/0.39 thf(f758,plain,(
% 0.78/0.39 ~spl31_89 | ~spl31_91),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f757])).
% 0.78/0.39 thf(f766,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_93 | ~spl31_95)),
% 0.78/0.39 inference(forward_demodulation,[],[f546,f537])).
% 0.78/0.39 thf(f767,plain,(
% 0.78/0.39 $false | (~spl31_93 | ~spl31_95)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f766])).
% 0.78/0.39 thf(f768,plain,(
% 0.78/0.39 ~spl31_93 | ~spl31_95),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f767])).
% 0.78/0.39 thf(f778,plain,(
% 0.78/0.39 (sF17 = $false) | ($true != $true) | spl31_101),
% 0.78/0.39 inference(constrained_superposition,[],[f572,f6])).
% 0.78/0.39 thf(f779,plain,(
% 0.78/0.39 (sF17 = $false) | spl31_101),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f778])).
% 0.78/0.39 thf(f780,plain,(
% 0.78/0.39 spl31_103 | spl31_101),
% 0.78/0.39 inference(avatar_split_clause,[],[f779,f571,f580])).
% 0.78/0.39 thf(f786,plain,(
% 0.78/0.39 (((f5 @ $true)) = $true) | (~spl31_3 | ~spl31_99)),
% 0.78/0.39 inference(forward_demodulation,[],[f132,f564])).
% 0.78/0.39 thf(f787,plain,(
% 0.78/0.39 (((f1 @ $true)) = $false) | (~spl31_7 | ~spl31_15)),
% 0.78/0.39 inference(forward_demodulation,[],[f150,f186])).
% 0.78/0.39 thf(f790,definition,(
% 0.78/0.39 spl31_125 <=> (((f4 @ $true)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_125])],[avatar_definition])).
% 0.78/0.39 thf(f792,plain,(
% 0.78/0.39 (((f4 @ $true)) = $true) | ~spl31_125),
% 0.78/0.39 inference(avatar_component_clause,[],[f790])).
% 0.78/0.39 thf(f795,plain,(
% 0.78/0.39 (((f4 @ $false)) = $true) | (~spl31_11 | ~spl31_118)),
% 0.78/0.39 inference(constrained_superposition,[],[f168,f649])).
% 0.78/0.39 thf(f797,plain,(
% 0.78/0.39 (sF25 = $false) | ($true = ((f2 @ $true))) | ~spl31_13),
% 0.78/0.39 inference(constrained_superposition,[],[f177,f6])).
% 0.78/0.39 thf(f799,definition,(
% 0.78/0.39 spl31_126 <=> ($true = ((f2 @ $true)))),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_126])],[avatar_definition])).
% 0.78/0.39 thf(f801,plain,(
% 0.78/0.39 ($true = ((f2 @ $true))) | ~spl31_126),
% 0.78/0.39 inference(avatar_component_clause,[],[f799])).
% 0.78/0.39 thf(f802,plain,(
% 0.78/0.39 spl31_126 | spl31_70 | ~spl31_13),
% 0.78/0.39 inference(avatar_split_clause,[],[f797,f175,f431,f799])).
% 0.78/0.39 thf(f810,definition,(
% 0.78/0.39 spl31_127 <=> (x = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_127])],[avatar_definition])).
% 0.78/0.39 thf(f812,plain,(
% 0.78/0.39 (x = $false) | ~spl31_127),
% 0.78/0.39 inference(avatar_component_clause,[],[f810])).
% 0.78/0.39 thf(f814,definition,(
% 0.78/0.39 spl31_128 <=> (((f7 @ $true)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_128])],[avatar_definition])).
% 0.78/0.39 thf(f818,plain,(
% 0.78/0.39 (((f7 @ $true)) != $false) | (x = $false) | spl31_17),
% 0.78/0.39 inference(constrained_superposition,[],[f194,f6])).
% 0.78/0.39 thf(f820,plain,(
% 0.78/0.39 ~spl31_128 | spl31_127 | spl31_17),
% 0.78/0.39 inference(avatar_split_clause,[],[f818,f193,f810,f814])).
% 0.78/0.39 thf(f824,definition,(
% 0.78/0.39 spl31_129 <=> (((f7 @ $true)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_129])],[avatar_definition])).
% 0.78/0.39 thf(f831,plain,(
% 0.78/0.39 ($true != $true) | (sF0 = $false) | spl31_18),
% 0.78/0.39 inference(constrained_superposition,[],[f198,f6])).
% 0.78/0.39 thf(f832,plain,(
% 0.78/0.39 (sF0 = $false) | spl31_18),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f831])).
% 0.78/0.39 thf(f833,plain,(
% 0.78/0.39 spl31_20 | spl31_18),
% 0.78/0.39 inference(avatar_split_clause,[],[f832,f197,f206])).
% 0.78/0.39 thf(f839,plain,(
% 0.78/0.39 (((f7 @ $false)) = $false) | (~spl31_17 | ~spl31_127)),
% 0.78/0.39 inference(forward_demodulation,[],[f195,f812])).
% 0.78/0.39 thf(f844,plain,(
% 0.78/0.39 ($true = ((f0 @ $false))) | (~spl31_29 | ~spl31_65)),
% 0.78/0.39 inference(forward_demodulation,[],[f249,f411])).
% 0.78/0.39 thf(f845,plain,(
% 0.78/0.39 ($true = ((f7 @ $false))) | (~spl31_20 | ~spl31_33)),
% 0.78/0.39 inference(forward_demodulation,[],[f267,f208])).
% 0.78/0.39 thf(f846,plain,(
% 0.78/0.39 (((f7 @ $false)) = $false) | (~spl31_20 | ~spl31_35)),
% 0.78/0.39 inference(forward_demodulation,[],[f276,f208])).
% 0.78/0.39 thf(f847,plain,(
% 0.78/0.39 (((f6 @ $false)) = $false) | (~spl31_37 | ~spl31_63)),
% 0.78/0.39 inference(forward_demodulation,[],[f285,f402])).
% 0.78/0.39 thf(f852,plain,(
% 0.78/0.39 (((f6 @ $false)) = $false) | (~spl31_20 | ~spl31_62)),
% 0.78/0.39 inference(forward_demodulation,[],[f397,f208])).
% 0.78/0.39 thf(f854,plain,(
% 0.78/0.39 ($true = ((f3 @ $true))) | (~spl31_69 | ~spl31_75)),
% 0.78/0.39 inference(forward_demodulation,[],[f429,f456])).
% 0.78/0.39 thf(f855,plain,(
% 0.78/0.39 (((f3 @ $true)) = $false) | (~spl31_71 | ~spl31_75)),
% 0.78/0.39 inference(forward_demodulation,[],[f438,f456])).
% 0.78/0.39 thf(f859,definition,(
% 0.78/0.39 spl31_130 <=> (((f5 @ $true)) = $true)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_130])],[avatar_definition])).
% 0.78/0.39 thf(f864,plain,(
% 0.78/0.39 (((f4 @ $true)) = $true) | (~spl31_9 | ~spl31_83)),
% 0.78/0.39 inference(forward_demodulation,[],[f492,f159])).
% 0.78/0.39 thf(f865,plain,(
% 0.78/0.39 spl31_125 | ~spl31_9 | ~spl31_83),
% 0.78/0.39 inference(avatar_split_clause,[],[f864,f490,f157,f790])).
% 0.78/0.39 thf(f870,plain,(
% 0.78/0.39 (((f3 @ $false)) = $false) | (~spl31_84 | ~spl31_87)),
% 0.78/0.39 inference(forward_demodulation,[],[f510,f496])).
% 0.78/0.39 thf(f871,plain,(
% 0.78/0.39 (((f0 @ $true)) = $false) | (~spl31_94 | ~spl31_113)),
% 0.78/0.39 inference(forward_demodulation,[],[f541,f627])).
% 0.78/0.39 thf(f881,plain,(
% 0.78/0.39 (((f2 @ $false)) = $false) | (~spl31_59 | ~spl31_105)),
% 0.78/0.39 inference(forward_demodulation,[],[f591,f384])).
% 0.78/0.39 thf(f882,plain,(
% 0.78/0.39 ($true = ((f1 @ $false))) | (~spl31_5 | ~spl31_111)),
% 0.78/0.39 inference(forward_demodulation,[],[f618,f141])).
% 0.78/0.39 thf(f883,plain,(
% 0.78/0.39 ($true = ((f0 @ $false))) | (~spl31_91 | ~spl31_115)),
% 0.78/0.39 inference(forward_demodulation,[],[f636,f528])).
% 0.78/0.39 thf(f884,plain,(
% 0.78/0.39 (((f4 @ $true)) = $true) | (~spl31_79 | ~spl31_117)),
% 0.78/0.39 inference(forward_demodulation,[],[f645,f474])).
% 0.78/0.39 thf(f885,plain,(
% 0.78/0.39 spl31_125 | ~spl31_79 | ~spl31_117),
% 0.78/0.39 inference(avatar_split_clause,[],[f884,f643,f472,f790])).
% 0.78/0.39 thf(f886,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_78 | ~spl31_80)),
% 0.78/0.39 inference(forward_demodulation,[],[f478,f469])).
% 0.78/0.39 thf(f887,plain,(
% 0.78/0.39 $false | (~spl31_78 | ~spl31_80)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f886])).
% 0.78/0.39 thf(f888,plain,(
% 0.78/0.39 ~spl31_78 | ~spl31_80),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f887])).
% 0.78/0.39 thf(f898,plain,(
% 0.78/0.39 ($true = ((f5 @ $false))) | (~spl31_50 | ~spl31_97)),
% 0.78/0.39 inference(constrained_superposition,[],[f555,f343])).
% 0.78/0.39 thf(f905,definition,(
% 0.78/0.39 spl31_131 <=> (((f5 @ $true)) = $false)),
% 0.78/0.39 introduced(definition,[new_symbols(definition,[spl31_131])],[avatar_definition])).
% 0.78/0.39 thf(f909,plain,(
% 0.78/0.39 (((f4 @ $false)) = $true) | (~spl31_77 | ~spl31_117)),
% 0.78/0.39 inference(forward_demodulation,[],[f645,f465])).
% 0.78/0.39 thf(f910,plain,(
% 0.78/0.39 (((f4 @ $false)) = $false) | (~spl31_77 | ~spl31_119)),
% 0.78/0.39 inference(forward_demodulation,[],[f654,f465])).
% 0.78/0.39 thf(f911,plain,(
% 0.78/0.39 (((f3 @ $false)) = $true) | (~spl31_43 | ~spl31_121)),
% 0.78/0.39 inference(forward_demodulation,[],[f663,f312])).
% 0.78/0.39 thf(f920,plain,(
% 0.78/0.39 spl31_130 | ~spl31_3 | ~spl31_99),
% 0.78/0.39 inference(avatar_split_clause,[],[f786,f562,f130,f859])).
% 0.78/0.39 thf(f921,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_97 | ~spl31_100)),
% 0.78/0.39 inference(forward_demodulation,[],[f568,f555])).
% 0.78/0.39 thf(f922,plain,(
% 0.78/0.39 $false | (~spl31_97 | ~spl31_100)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f921])).
% 0.78/0.39 thf(f923,plain,(
% 0.78/0.39 ~spl31_97 | ~spl31_100),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f922])).
% 0.78/0.39 thf(f925,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_2 | ~spl31_4)),
% 0.78/0.39 inference(forward_demodulation,[],[f136,f127])).
% 0.78/0.39 thf(f926,plain,(
% 0.78/0.39 $false | (~spl31_2 | ~spl31_4)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f925])).
% 0.78/0.39 thf(f927,plain,(
% 0.78/0.39 ~spl31_2 | ~spl31_4),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f926])).
% 0.78/0.39 thf(f943,plain,(
% 0.78/0.39 ($true = ((f6 @ $false))) | (~spl31_40 | ~spl31_63)),
% 0.78/0.39 inference(forward_demodulation,[],[f298,f402])).
% 0.78/0.39 thf(f947,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_21 | ~spl31_23)),
% 0.78/0.39 inference(forward_demodulation,[],[f222,f213])).
% 0.78/0.39 thf(f948,plain,(
% 0.78/0.39 $false | (~spl31_21 | ~spl31_23)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f947])).
% 0.78/0.39 thf(f949,plain,(
% 0.78/0.39 ~spl31_21 | ~spl31_23),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f948])).
% 0.78/0.39 thf(f955,plain,(
% 0.78/0.39 ($true != ((f6 @ $true))) | (sF2 = $false) | spl31_21),
% 0.78/0.39 inference(constrained_superposition,[],[f212,f6])).
% 0.78/0.39 thf(f965,plain,(
% 0.78/0.39 ($true = $false) | (~spl31_17 | ~spl31_20 | ~spl31_33 | ~spl31_127)),
% 0.78/0.39 inference(forward_demodulation,[],[f845,f839])).
% 0.78/0.39 thf(f966,plain,(
% 0.78/0.39 $false | (~spl31_17 | ~spl31_20 | ~spl31_33 | ~spl31_127)),
% 0.78/0.39 inference(trivial_inequality_removal,[],[f965])).
% 0.78/0.39 thf(f967,plain,(
% 0.78/0.39 ~spl31_17 | ~spl31_20 | ~spl31_33 | ~spl31_127),
% 0.78/0.39 inference(avatar_contradiction_clause,[],[f966])).
% 0.78/0.39 thf(f981,plain,(
% 0.78/0.39 ($true != ((f5 @ $false))) | (~spl31_47 | spl31_49)),
% 0.78/0.40 inference(forward_demodulation,[],[f338,f330])).
% 0.78/0.40 thf(f982,plain,(
% 0.78/0.40 (((f5 @ $false)) = $false) | (~spl31_47 | ~spl31_51)),
% 0.78/0.40 inference(forward_demodulation,[],[f348,f330])).
% 0.78/0.40 thf(f987,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_69 | ~spl31_71 | ~spl31_75)),
% 0.78/0.40 inference(forward_demodulation,[],[f855,f854])).
% 0.78/0.40 thf(f988,plain,(
% 0.78/0.40 $false | (~spl31_69 | ~spl31_71 | ~spl31_75)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f987])).
% 0.78/0.40 thf(f989,plain,(
% 0.78/0.40 ~spl31_69 | ~spl31_71 | ~spl31_75),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f988])).
% 0.78/0.40 thf(f991,plain,(
% 0.78/0.40 ($true != $true) | (sF24 = $false) | spl31_75),
% 0.78/0.40 inference(constrained_superposition,[],[f455,f6])).
% 0.78/0.40 thf(f992,plain,(
% 0.78/0.40 (sF24 = $false) | spl31_75),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f991])).
% 0.78/0.40 thf(f993,plain,(
% 0.78/0.40 $false | (spl31_73 | spl31_75)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f992,f446])).
% 0.78/0.40 thf(f994,plain,(
% 0.78/0.40 spl31_73 | spl31_75),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f993])).
% 0.78/0.40 thf(f995,plain,(
% 0.78/0.40 spl31_73 | spl31_75),
% 0.78/0.40 inference(avatar_split_clause,[],[f992,f454,f445])).
% 0.78/0.40 thf(f999,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_69 | ~spl31_73)),
% 0.78/0.40 inference(forward_demodulation,[],[f429,f447])).
% 0.78/0.40 thf(f1000,plain,(
% 0.78/0.40 (((f3 @ $false)) = $false) | (~spl31_71 | ~spl31_73)),
% 0.78/0.40 inference(forward_demodulation,[],[f438,f447])).
% 0.78/0.40 thf(f1007,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_77 | ~spl31_117 | ~spl31_119)),
% 0.78/0.40 inference(forward_demodulation,[],[f910,f909])).
% 0.78/0.40 thf(f1008,plain,(
% 0.78/0.40 $false | (~spl31_77 | ~spl31_117 | ~spl31_119)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1007])).
% 0.78/0.40 thf(f1009,plain,(
% 0.78/0.40 ~spl31_77 | ~spl31_117 | ~spl31_119),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1008])).
% 0.78/0.40 thf(f1013,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_43 | ~spl31_84 | ~spl31_87 | ~spl31_121)),
% 0.78/0.40 inference(forward_demodulation,[],[f911,f870])).
% 0.78/0.40 thf(f1014,plain,(
% 0.78/0.40 $false | (~spl31_43 | ~spl31_84 | ~spl31_87 | ~spl31_121)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1013])).
% 0.78/0.40 thf(f1015,plain,(
% 0.78/0.40 ~spl31_43 | ~spl31_84 | ~spl31_87 | ~spl31_121),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1014])).
% 0.78/0.40 thf(f1020,plain,(
% 0.78/0.40 (((f3 @ $false)) != $true) | (~spl31_43 | spl31_121)),
% 0.78/0.40 inference(forward_demodulation,[],[f662,f312])).
% 0.78/0.40 thf(f1024,plain,(
% 0.78/0.40 (((f3 @ $false)) = $false) | (~spl31_84 | ~spl31_87)),
% 0.78/0.40 inference(forward_demodulation,[],[f510,f496])).
% 0.78/0.40 thf(f1030,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_74 | ~spl31_122)),
% 0.78/0.40 inference(forward_demodulation,[],[f451,f667])).
% 0.78/0.40 thf(f1031,plain,(
% 0.78/0.40 (((f3 @ $false)) = $false) | (~spl31_76 | ~spl31_122)),
% 0.78/0.40 inference(forward_demodulation,[],[f460,f667])).
% 0.78/0.40 thf(f1032,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_37 | ~spl31_40 | ~spl31_63)),
% 0.78/0.40 inference(forward_demodulation,[],[f943,f847])).
% 0.78/0.40 thf(f1033,plain,(
% 0.78/0.40 $false | (~spl31_37 | ~spl31_40 | ~spl31_63)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1032])).
% 0.78/0.40 thf(f1034,plain,(
% 0.78/0.40 ~spl31_37 | ~spl31_40 | ~spl31_63),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1033])).
% 0.78/0.40 thf(f1036,definition,(
% 0.78/0.40 spl31_132 <=> ($true = ((f6 @ $true)))),
% 0.78/0.40 introduced(definition,[new_symbols(definition,[spl31_132])],[avatar_definition])).
% 0.78/0.40 thf(f1037,plain,(
% 0.78/0.40 ($true = ((f6 @ $true))) | ~spl31_132),
% 0.78/0.40 inference(avatar_component_clause,[],[f1036])).
% 0.78/0.40 thf(f1039,plain,(
% 0.78/0.40 ~spl31_132 | spl31_39 | spl31_21),
% 0.78/0.40 inference(avatar_split_clause,[],[f955,f211,f292,f1036])).
% 0.78/0.40 thf(f1041,definition,(
% 0.78/0.40 spl31_133 <=> (((f6 @ $true)) = $false)),
% 0.78/0.40 introduced(definition,[new_symbols(definition,[spl31_133])],[avatar_definition])).
% 0.78/0.40 thf(f1043,plain,(
% 0.78/0.40 (((f6 @ $true)) = $false) | ~spl31_133),
% 0.78/0.40 inference(avatar_component_clause,[],[f1041])).
% 0.78/0.40 thf(f1057,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_69 | ~spl31_71 | ~spl31_73)),
% 0.78/0.40 inference(forward_demodulation,[],[f1000,f999])).
% 0.78/0.40 thf(f1058,plain,(
% 0.78/0.40 $false | (~spl31_69 | ~spl31_71 | ~spl31_73)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1057])).
% 0.78/0.40 thf(f1059,plain,(
% 0.78/0.40 ~spl31_69 | ~spl31_71 | ~spl31_73),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1058])).
% 0.78/0.40 thf(f1077,plain,(
% 0.78/0.40 $false | (~spl31_43 | ~spl31_74 | spl31_121 | ~spl31_122)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1030,f1020])).
% 0.78/0.40 thf(f1078,plain,(
% 0.78/0.40 ~spl31_43 | ~spl31_74 | spl31_121 | ~spl31_122),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1077])).
% 0.78/0.40 thf(f1086,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_11 | ~spl31_77 | ~spl31_118 | ~spl31_119)),
% 0.78/0.40 inference(forward_demodulation,[],[f795,f910])).
% 0.78/0.40 thf(f1087,plain,(
% 0.78/0.40 $false | (~spl31_11 | ~spl31_77 | ~spl31_118 | ~spl31_119)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1086])).
% 0.78/0.40 thf(f1088,plain,(
% 0.78/0.40 ~spl31_11 | ~spl31_77 | ~spl31_118 | ~spl31_119),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1087])).
% 0.78/0.40 thf(f1090,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_118 | ~spl31_120)),
% 0.78/0.40 inference(forward_demodulation,[],[f658,f649])).
% 0.78/0.40 thf(f1091,plain,(
% 0.78/0.40 $false | (~spl31_118 | ~spl31_120)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1090])).
% 0.78/0.40 thf(f1092,plain,(
% 0.78/0.40 ~spl31_118 | ~spl31_120),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1091])).
% 0.78/0.40 thf(f1093,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_9 | ~spl31_12)),
% 0.78/0.40 inference(forward_demodulation,[],[f172,f159])).
% 0.78/0.40 thf(f1094,plain,(
% 0.78/0.40 $false | (~spl31_9 | ~spl31_12)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1093])).
% 0.78/0.40 thf(f1095,plain,(
% 0.78/0.40 ~spl31_9 | ~spl31_12),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1094])).
% 0.78/0.40 thf(f1096,plain,(
% 0.78/0.40 (((f4 @ $false)) = $false) | (~spl31_77 | ~spl31_119)),
% 0.78/0.40 inference(forward_demodulation,[],[f654,f465])).
% 0.78/0.40 thf(f1100,plain,(
% 0.78/0.40 (sF6 = $false) | ($true != $true) | spl31_9),
% 0.78/0.40 inference(constrained_superposition,[],[f158,f6])).
% 0.78/0.40 thf(f1101,plain,(
% 0.78/0.40 (sF6 = $false) | spl31_9),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1100])).
% 0.78/0.40 thf(f1102,plain,(
% 0.78/0.40 spl31_12 | spl31_9),
% 0.78/0.40 inference(avatar_split_clause,[],[f1101,f157,f170])).
% 0.78/0.40 thf(f1106,plain,(
% 0.78/0.40 (((f4 @ $false)) = $false) | (~spl31_12 | ~spl31_81)),
% 0.78/0.40 inference(forward_demodulation,[],[f483,f172])).
% 0.78/0.40 thf(f1124,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_14 | ~spl31_15)),
% 0.78/0.40 inference(forward_demodulation,[],[f181,f186])).
% 0.78/0.40 thf(f1125,plain,(
% 0.78/0.40 $false | (~spl31_14 | ~spl31_15)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1124])).
% 0.78/0.40 thf(f1126,plain,(
% 0.78/0.40 ~spl31_14 | ~spl31_15),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1125])).
% 0.78/0.40 thf(f1132,plain,(
% 0.78/0.40 (((f2 @ $false)) = $true) | (~spl31_13 | ~spl31_70)),
% 0.78/0.40 inference(forward_demodulation,[],[f177,f433])).
% 0.78/0.40 thf(f1136,plain,(
% 0.78/0.40 (((f2 @ $true)) = $false) | (~spl31_53 | ~spl31_58)),
% 0.78/0.40 inference(forward_demodulation,[],[f379,f357])).
% 0.78/0.40 thf(f1139,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_13 | ~spl31_59 | ~spl31_70 | ~spl31_105)),
% 0.78/0.40 inference(forward_demodulation,[],[f1132,f881])).
% 0.78/0.40 thf(f1140,plain,(
% 0.78/0.40 $false | (~spl31_13 | ~spl31_59 | ~spl31_70 | ~spl31_105)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1139])).
% 0.78/0.40 thf(f1141,plain,(
% 0.78/0.40 ~spl31_13 | ~spl31_59 | ~spl31_70 | ~spl31_105),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1140])).
% 0.78/0.40 thf(f1148,plain,(
% 0.78/0.40 ($true = ((f1 @ $true))) | (~spl31_27 | ~spl31_106)),
% 0.78/0.40 inference(forward_demodulation,[],[f240,f595])).
% 0.78/0.40 thf(f1149,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_7 | ~spl31_15 | ~spl31_27 | ~spl31_106)),
% 0.78/0.40 inference(forward_demodulation,[],[f1148,f787])).
% 0.78/0.40 thf(f1150,plain,(
% 0.78/0.40 $false | (~spl31_7 | ~spl31_15 | ~spl31_27 | ~spl31_106)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1149])).
% 0.78/0.40 thf(f1151,plain,(
% 0.78/0.40 ~spl31_7 | ~spl31_15 | ~spl31_27 | ~spl31_106),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1150])).
% 0.78/0.40 thf(f1153,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_5 | ~spl31_8)),
% 0.78/0.40 inference(forward_demodulation,[],[f154,f141])).
% 0.78/0.40 thf(f1154,plain,(
% 0.78/0.40 $false | (~spl31_5 | ~spl31_8)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1153])).
% 0.78/0.40 thf(f1155,plain,(
% 0.78/0.40 ~spl31_5 | ~spl31_8),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1154])).
% 0.78/0.40 thf(f1156,plain,(
% 0.78/0.40 (((f2 @ $false)) = $false) | (~spl31_16 | ~spl31_70)),
% 0.78/0.40 inference(forward_demodulation,[],[f190,f433])).
% 0.78/0.40 thf(f1159,plain,(
% 0.78/0.40 ($true != $true) | (sF26 = $false) | spl31_15),
% 0.78/0.40 inference(constrained_superposition,[],[f185,f6])).
% 0.78/0.40 thf(f1160,plain,(
% 0.78/0.40 (sF26 = $false) | spl31_15),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1159])).
% 0.78/0.40 thf(f1161,plain,(
% 0.78/0.40 $false | (spl31_14 | spl31_15)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1160,f180])).
% 0.78/0.40 thf(f1162,plain,(
% 0.78/0.40 spl31_14 | spl31_15),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1161])).
% 0.78/0.40 thf(f1163,plain,(
% 0.78/0.40 ($true = ((f2 @ $true))) | (~spl31_53 | ~spl31_60)),
% 0.78/0.40 inference(forward_demodulation,[],[f388,f357])).
% 0.78/0.40 thf(f1164,plain,(
% 0.78/0.40 spl31_126 | ~spl31_53 | ~spl31_60),
% 0.78/0.40 inference(avatar_split_clause,[],[f1163,f386,f355,f799])).
% 0.78/0.40 thf(f1174,plain,(
% 0.78/0.40 ($true = ((f1 @ $false))) | (~spl31_27 | ~spl31_107)),
% 0.78/0.40 inference(forward_demodulation,[],[f240,f600])).
% 0.78/0.40 thf(f1176,plain,(
% 0.78/0.40 ($true = ((f2 @ $true))) | (~spl31_57 | ~spl31_108)),
% 0.78/0.40 inference(forward_demodulation,[],[f604,f375])).
% 0.78/0.40 thf(f1177,plain,(
% 0.78/0.40 spl31_126 | ~spl31_57 | ~spl31_108),
% 0.78/0.40 inference(avatar_split_clause,[],[f1176,f602,f373,f799])).
% 0.78/0.40 thf(f1185,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_13 | ~spl31_16 | ~spl31_70)),
% 0.78/0.40 inference(forward_demodulation,[],[f1156,f1132])).
% 0.78/0.40 thf(f1186,plain,(
% 0.78/0.40 $false | (~spl31_13 | ~spl31_16 | ~spl31_70)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1185])).
% 0.78/0.40 thf(f1187,plain,(
% 0.78/0.40 ~spl31_13 | ~spl31_16 | ~spl31_70),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1186])).
% 0.78/0.40 thf(f1190,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_53 | ~spl31_58 | ~spl31_126)),
% 0.78/0.40 inference(forward_demodulation,[],[f801,f1136])).
% 0.78/0.40 thf(f1191,plain,(
% 0.78/0.40 $false | (~spl31_53 | ~spl31_58 | ~spl31_126)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1190])).
% 0.78/0.40 thf(f1192,plain,(
% 0.78/0.40 ~spl31_53 | ~spl31_58 | ~spl31_126),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1191])).
% 0.78/0.40 thf(f1193,plain,(
% 0.78/0.40 (((f2 @ $false)) = $false) | (~spl31_54 | ~spl31_85)),
% 0.78/0.40 inference(forward_demodulation,[],[f361,f501])).
% 0.78/0.40 thf(f1195,plain,(
% 0.78/0.40 ($true != ((f2 @ $true))) | (~spl31_57 | spl31_108)),
% 0.78/0.40 inference(forward_demodulation,[],[f603,f375])).
% 0.78/0.40 thf(f1196,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_13 | ~spl31_54 | ~spl31_70 | ~spl31_85)),
% 0.78/0.40 inference(forward_demodulation,[],[f1193,f1132])).
% 0.78/0.40 thf(f1197,plain,(
% 0.78/0.40 $false | (~spl31_13 | ~spl31_54 | ~spl31_70 | ~spl31_85)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1196])).
% 0.78/0.40 thf(f1198,plain,(
% 0.78/0.40 ~spl31_13 | ~spl31_54 | ~spl31_70 | ~spl31_85),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1197])).
% 0.78/0.40 thf(f1201,plain,(
% 0.78/0.40 ~spl31_126 | ~spl31_57 | spl31_108),
% 0.78/0.40 inference(avatar_split_clause,[],[f1195,f602,f373,f799])).
% 0.78/0.40 thf(f1202,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_84 | ~spl31_86)),
% 0.78/0.40 inference(forward_demodulation,[],[f505,f496])).
% 0.78/0.40 thf(f1207,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_84 | ~spl31_86 | ~spl31_87)),
% 0.78/0.40 inference(forward_demodulation,[],[f1202,f1024])).
% 0.78/0.40 thf(f1208,plain,(
% 0.78/0.40 $false | (~spl31_84 | ~spl31_86 | ~spl31_87)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1207])).
% 0.78/0.40 thf(f1209,plain,(
% 0.78/0.40 ~spl31_84 | ~spl31_86 | ~spl31_87),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1208])).
% 0.78/0.40 thf(f1210,plain,(
% 0.78/0.40 (((f4 @ $true)) = $true) | (~spl31_2 | ~spl31_44)),
% 0.78/0.40 inference(forward_demodulation,[],[f316,f127])).
% 0.78/0.40 thf(f1211,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_2 | ~spl31_42 | ~spl31_44)),
% 0.78/0.40 inference(forward_demodulation,[],[f1210,f694])).
% 0.78/0.40 thf(f1212,plain,(
% 0.78/0.40 $false | (~spl31_2 | ~spl31_42 | ~spl31_44)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1211])).
% 0.78/0.40 thf(f1213,plain,(
% 0.78/0.40 ~spl31_2 | ~spl31_42 | ~spl31_44),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1212])).
% 0.78/0.40 thf(f1215,plain,(
% 0.78/0.40 (((f2 @ $false)) = $false) | (~spl31_16 | ~spl31_70)),
% 0.78/0.40 inference(forward_demodulation,[],[f190,f433])).
% 0.78/0.40 thf(f1216,plain,(
% 0.78/0.40 spl31_125 | ~spl31_2 | ~spl31_44),
% 0.78/0.40 inference(avatar_split_clause,[],[f1210,f314,f125,f790])).
% 0.78/0.40 thf(f1220,plain,(
% 0.78/0.40 (((f5 @ $true)) = $false) | (~spl31_1 | ~spl31_99)),
% 0.78/0.40 inference(forward_demodulation,[],[f123,f564])).
% 0.78/0.40 thf(f1221,plain,(
% 0.78/0.40 spl31_131 | ~spl31_1 | ~spl31_99),
% 0.78/0.40 inference(avatar_split_clause,[],[f1220,f562,f121,f905])).
% 0.78/0.40 thf(f1222,plain,(
% 0.78/0.40 ($true != $true) | (sF21 = $false) | spl31_2),
% 0.78/0.40 inference(constrained_superposition,[],[f126,f6])).
% 0.78/0.40 thf(f1223,plain,(
% 0.78/0.40 (sF21 = $false) | spl31_2),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1222])).
% 0.78/0.40 thf(f1224,plain,(
% 0.78/0.40 spl31_4 | spl31_2),
% 0.78/0.40 inference(avatar_split_clause,[],[f1223,f125,f134])).
% 0.78/0.40 thf(f1240,plain,(
% 0.78/0.40 (((f1 @ $false)) = $false) | (~spl31_7 | ~spl31_14)),
% 0.78/0.40 inference(forward_demodulation,[],[f150,f181])).
% 0.78/0.40 thf(f1241,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_5 | ~spl31_7 | ~spl31_14 | ~spl31_111)),
% 0.78/0.40 inference(forward_demodulation,[],[f1240,f882])).
% 0.78/0.40 thf(f1242,plain,(
% 0.78/0.40 $false | (~spl31_5 | ~spl31_7 | ~spl31_14 | ~spl31_111)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1241])).
% 0.78/0.40 thf(f1243,plain,(
% 0.78/0.40 ~spl31_5 | ~spl31_7 | ~spl31_14 | ~spl31_111),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1242])).
% 0.78/0.40 thf(f1244,plain,(
% 0.78/0.40 ($true = ((f1 @ $false))) | (~spl31_6 | ~spl31_14)),
% 0.78/0.40 inference(forward_demodulation,[],[f145,f181])).
% 0.78/0.40 thf(f1246,plain,(
% 0.78/0.40 ($true != $true) | (sF27 = $false) | spl31_8),
% 0.78/0.40 inference(constrained_superposition,[],[f153,f6])).
% 0.78/0.40 thf(f1247,plain,(
% 0.78/0.40 (sF27 = $false) | spl31_8),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1246])).
% 0.78/0.40 thf(f1250,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_109 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f622,f609])).
% 0.78/0.40 thf(f1251,plain,(
% 0.78/0.40 $false | (~spl31_109 | ~spl31_112)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1250])).
% 0.78/0.40 thf(f1252,plain,(
% 0.78/0.40 ~spl31_109 | ~spl31_112),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1251])).
% 0.78/0.40 thf(f1253,plain,(
% 0.78/0.40 spl31_5 | spl31_8),
% 0.78/0.40 inference(avatar_split_clause,[],[f1247,f152,f139])).
% 0.78/0.40 thf(f1257,plain,(
% 0.78/0.40 (sF28 = $false) | ($true != $true) | spl31_109),
% 0.78/0.40 inference(constrained_superposition,[],[f608,f6])).
% 0.78/0.40 thf(f1258,plain,(
% 0.78/0.40 (sF28 = $false) | spl31_109),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1257])).
% 0.78/0.40 thf(f1259,plain,(
% 0.78/0.40 spl31_112 | spl31_109),
% 0.78/0.40 inference(avatar_split_clause,[],[f1258,f607,f620])).
% 0.78/0.40 thf(f1263,plain,(
% 0.78/0.40 (((f4 @ $false)) != $false) | (~spl31_4 | spl31_42)),
% 0.78/0.40 inference(forward_demodulation,[],[f306,f136])).
% 0.78/0.40 thf(f1264,plain,(
% 0.78/0.40 $false | (~spl31_4 | spl31_42 | ~spl31_77 | ~spl31_119)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1263,f1096])).
% 0.78/0.40 thf(f1265,plain,(
% 0.78/0.40 ~spl31_4 | spl31_42 | ~spl31_77 | ~spl31_119),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1264])).
% 0.78/0.40 thf(f1267,plain,(
% 0.78/0.40 (((f4 @ $false)) = $true) | (~spl31_4 | ~spl31_44)),
% 0.78/0.40 inference(forward_demodulation,[],[f316,f136])).
% 0.78/0.40 thf(f1274,plain,(
% 0.78/0.40 (((f4 @ $true)) = $false) | (~spl31_10 | ~spl31_120)),
% 0.78/0.40 inference(forward_demodulation,[],[f163,f658])).
% 0.78/0.40 thf(f1280,plain,(
% 0.78/0.40 (((f2 @ $false)) = $true) | (~spl31_55 | ~spl31_60)),
% 0.78/0.40 inference(forward_demodulation,[],[f388,f366])).
% 0.78/0.40 thf(f1285,plain,(
% 0.78/0.40 (((f3 @ $true)) = $false) | (~spl31_41 | ~spl31_124)),
% 0.78/0.40 inference(forward_demodulation,[],[f676,f303])).
% 0.78/0.40 thf(f1295,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_7 | ~spl31_14 | ~spl31_27 | ~spl31_107)),
% 0.78/0.40 inference(forward_demodulation,[],[f1240,f1174])).
% 0.78/0.40 thf(f1296,plain,(
% 0.78/0.40 $false | (~spl31_7 | ~spl31_14 | ~spl31_27 | ~spl31_107)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1295])).
% 0.78/0.40 thf(f1297,plain,(
% 0.78/0.40 ~spl31_7 | ~spl31_14 | ~spl31_27 | ~spl31_107),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1296])).
% 0.78/0.40 thf(f1298,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_25 | ~spl31_28)),
% 0.78/0.40 inference(forward_demodulation,[],[f244,f231])).
% 0.78/0.40 thf(f1299,plain,(
% 0.78/0.40 $false | (~spl31_25 | ~spl31_28)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1298])).
% 0.78/0.40 thf(f1300,plain,(
% 0.78/0.40 ~spl31_25 | ~spl31_28),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1299])).
% 0.78/0.40 thf(f1302,plain,(
% 0.78/0.40 (((f1 @ $false)) = $false) | (~spl31_26 | ~spl31_107)),
% 0.78/0.40 inference(forward_demodulation,[],[f235,f600])).
% 0.78/0.40 thf(f1309,plain,(
% 0.78/0.40 (((f0 @ $false)) = $false) | (~spl31_28 | ~spl31_90)),
% 0.78/0.40 inference(forward_demodulation,[],[f523,f244])).
% 0.78/0.40 thf(f1310,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_28 | ~spl31_29 | ~spl31_65 | ~spl31_90)),
% 0.78/0.40 inference(forward_demodulation,[],[f1309,f844])).
% 0.78/0.40 thf(f1311,plain,(
% 0.78/0.40 $false | (~spl31_28 | ~spl31_29 | ~spl31_65 | ~spl31_90)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1310])).
% 0.78/0.40 thf(f1312,plain,(
% 0.78/0.40 ~spl31_28 | ~spl31_29 | ~spl31_65 | ~spl31_90),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1311])).
% 0.78/0.40 thf(f1313,plain,(
% 0.78/0.40 ($true = ((f1 @ $false))) | (~spl31_66 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f415,f622])).
% 0.78/0.40 thf(f1322,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_6 | ~spl31_7 | ~spl31_14)),
% 0.78/0.40 inference(forward_demodulation,[],[f1244,f1240])).
% 0.78/0.40 thf(f1323,plain,(
% 0.78/0.40 $false | (~spl31_6 | ~spl31_7 | ~spl31_14)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1322])).
% 0.78/0.40 thf(f1324,plain,(
% 0.78/0.40 ~spl31_6 | ~spl31_7 | ~spl31_14),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1323])).
% 0.78/0.40 thf(f1327,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_4 | ~spl31_12 | ~spl31_44 | ~spl31_81)),
% 0.78/0.40 inference(forward_demodulation,[],[f1267,f1106])).
% 0.78/0.40 thf(f1328,plain,(
% 0.78/0.40 $false | (~spl31_4 | ~spl31_12 | ~spl31_44 | ~spl31_81)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1327])).
% 0.78/0.40 thf(f1329,plain,(
% 0.78/0.40 ~spl31_4 | ~spl31_12 | ~spl31_44 | ~spl31_81),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1328])).
% 0.78/0.40 thf(f1330,plain,(
% 0.78/0.40 (((f4 @ $true)) = $true) | (~spl31_11 | ~spl31_120)),
% 0.78/0.40 inference(forward_demodulation,[],[f168,f658])).
% 0.78/0.40 thf(f1331,plain,(
% 0.78/0.40 spl31_125 | ~spl31_11 | ~spl31_120),
% 0.78/0.40 inference(avatar_split_clause,[],[f1330,f656,f166,f790])).
% 0.78/0.40 thf(f1348,plain,(
% 0.78/0.40 (((f2 @ $false)) = $false) | (~spl31_55 | ~spl31_58)),
% 0.78/0.40 inference(forward_demodulation,[],[f379,f366])).
% 0.78/0.40 thf(f1349,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_16 | ~spl31_55 | ~spl31_60 | ~spl31_70)),
% 0.78/0.40 inference(forward_demodulation,[],[f1280,f1215])).
% 0.78/0.40 thf(f1350,plain,(
% 0.78/0.40 $false | (~spl31_16 | ~spl31_55 | ~spl31_60 | ~spl31_70)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1349])).
% 0.78/0.40 thf(f1351,plain,(
% 0.78/0.40 ~spl31_16 | ~spl31_55 | ~spl31_60 | ~spl31_70),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1350])).
% 0.78/0.40 thf(f1359,plain,(
% 0.78/0.40 (((f2 @ $false)) = $false) | (~spl31_59 | ~spl31_105)),
% 0.78/0.40 inference(forward_demodulation,[],[f591,f384])).
% 0.78/0.40 thf(f1374,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_28 | ~spl31_90 | ~spl31_91 | ~spl31_115)),
% 0.78/0.40 inference(forward_demodulation,[],[f1309,f883])).
% 0.78/0.40 thf(f1375,plain,(
% 0.78/0.40 $false | (~spl31_28 | ~spl31_90 | ~spl31_91 | ~spl31_115)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1374])).
% 0.78/0.40 thf(f1376,plain,(
% 0.78/0.40 ~spl31_28 | ~spl31_90 | ~spl31_91 | ~spl31_115),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1375])).
% 0.78/0.40 thf(f1377,plain,(
% 0.78/0.40 ($true = ((f0 @ $false))) | (~spl31_28 | ~spl31_92)),
% 0.78/0.40 inference(forward_demodulation,[],[f532,f244])).
% 0.78/0.40 thf(f1379,plain,(
% 0.78/0.40 ($true = ((f0 @ $true))) | (~spl31_89 | ~spl31_115)),
% 0.78/0.40 inference(forward_demodulation,[],[f636,f519])).
% 0.78/0.40 thf(f1380,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_89 | ~spl31_94 | ~spl31_113 | ~spl31_115)),
% 0.78/0.40 inference(forward_demodulation,[],[f1379,f871])).
% 0.78/0.40 thf(f1381,plain,(
% 0.78/0.40 $false | (~spl31_89 | ~spl31_94 | ~spl31_113 | ~spl31_115)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1380])).
% 0.78/0.40 thf(f1382,plain,(
% 0.78/0.40 ~spl31_89 | ~spl31_94 | ~spl31_113 | ~spl31_115),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1381])).
% 0.78/0.40 thf(f1385,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_30 | ~spl31_31)),
% 0.78/0.40 inference(forward_demodulation,[],[f253,f258])).
% 0.78/0.40 thf(f1386,plain,(
% 0.78/0.40 $false | (~spl31_30 | ~spl31_31)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1385])).
% 0.78/0.40 thf(f1387,plain,(
% 0.78/0.40 ~spl31_30 | ~spl31_31),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1386])).
% 0.78/0.40 thf(f1395,plain,(
% 0.78/0.40 ($true != $true) | (sF14 = $false) | spl31_113),
% 0.78/0.40 inference(constrained_superposition,[],[f626,f6])).
% 0.78/0.40 thf(f1396,plain,(
% 0.78/0.40 (sF14 = $false) | spl31_113),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1395])).
% 0.78/0.40 thf(f1397,plain,(
% 0.78/0.40 spl31_116 | spl31_113),
% 0.78/0.40 inference(avatar_split_clause,[],[f1396,f625,f638])).
% 0.78/0.40 thf(f1398,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_29 | ~spl31_32)),
% 0.78/0.40 inference(forward_demodulation,[],[f262,f249])).
% 0.78/0.40 thf(f1399,plain,(
% 0.78/0.40 $false | (~spl31_29 | ~spl31_32)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1398])).
% 0.78/0.40 thf(f1400,plain,(
% 0.78/0.40 ~spl31_29 | ~spl31_32),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1399])).
% 0.78/0.40 thf(f1406,plain,(
% 0.78/0.40 (((f0 @ sF29)) = $false) | ($true != $true) | spl31_29),
% 0.78/0.40 inference(constrained_superposition,[],[f248,f6])).
% 0.78/0.40 thf(f1407,plain,(
% 0.78/0.40 (((f0 @ sF29)) = $false) | spl31_29),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1406])).
% 0.78/0.40 thf(f1408,plain,(
% 0.78/0.40 spl31_32 | spl31_29),
% 0.78/0.40 inference(avatar_split_clause,[],[f1407,f247,f260])).
% 0.78/0.40 thf(f1416,plain,(
% 0.78/0.40 ($true = ((f0 @ $true))) | (~spl31_96 | ~spl31_113)),
% 0.78/0.40 inference(forward_demodulation,[],[f550,f627])).
% 0.78/0.40 thf(f1417,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_7 | ~spl31_14 | ~spl31_66 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f1313,f1240])).
% 0.78/0.40 thf(f1418,plain,(
% 0.78/0.40 $false | (~spl31_7 | ~spl31_14 | ~spl31_66 | ~spl31_112)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1417])).
% 0.78/0.40 thf(f1419,plain,(
% 0.78/0.40 ~spl31_7 | ~spl31_14 | ~spl31_66 | ~spl31_112),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1418])).
% 0.78/0.40 thf(f1422,definition,(
% 0.78/0.40 spl31_134 <=> (((f0 @ $true)) = $false)),
% 0.78/0.40 introduced(definition,[new_symbols(definition,[spl31_134])],[avatar_definition])).
% 0.78/0.40 thf(f1424,plain,(
% 0.78/0.40 (((f0 @ $true)) = $false) | ~spl31_134),
% 0.78/0.40 inference(avatar_component_clause,[],[f1422])).
% 0.78/0.40 thf(f1427,definition,(
% 0.78/0.40 spl31_135 <=> ($true = ((f0 @ $true)))),
% 0.78/0.40 introduced(definition,[new_symbols(definition,[spl31_135])],[avatar_definition])).
% 0.78/0.40 thf(f1428,plain,(
% 0.78/0.40 ($true = ((f0 @ $true))) | ~spl31_135),
% 0.78/0.40 inference(avatar_component_clause,[],[f1427])).
% 0.78/0.40 thf(f1433,plain,(
% 0.78/0.40 (((f0 @ $false)) = $false) | (~spl31_32 | ~spl31_65)),
% 0.78/0.40 inference(constrained_superposition,[],[f262,f411])).
% 0.78/0.40 thf(f1442,plain,(
% 0.78/0.40 spl31_135 | ~spl31_96 | ~spl31_113),
% 0.78/0.40 inference(avatar_split_clause,[],[f1416,f625,f548,f1427])).
% 0.78/0.40 thf(f1443,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_10 | ~spl31_120 | ~spl31_125)),
% 0.78/0.40 inference(forward_demodulation,[],[f792,f1274])).
% 0.78/0.40 thf(f1444,plain,(
% 0.78/0.40 $false | (~spl31_10 | ~spl31_120 | ~spl31_125)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1443])).
% 0.78/0.40 thf(f1445,plain,(
% 0.78/0.40 ~spl31_10 | ~spl31_120 | ~spl31_125),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1444])).
% 0.78/0.40 thf(f1453,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_82 | ~spl31_84)),
% 0.78/0.40 inference(forward_demodulation,[],[f487,f496])).
% 0.78/0.40 thf(f1454,plain,(
% 0.78/0.40 $false | (~spl31_82 | ~spl31_84)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1453])).
% 0.78/0.40 thf(f1455,plain,(
% 0.78/0.40 ~spl31_82 | ~spl31_84),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1454])).
% 0.78/0.40 thf(f1458,plain,(
% 0.78/0.40 (((f3 @ $true)) = $false) | (~spl31_82 | ~spl31_87)),
% 0.78/0.40 inference(forward_demodulation,[],[f510,f487])).
% 0.78/0.40 thf(f1482,plain,(
% 0.78/0.40 $false | (~spl31_47 | spl31_49 | ~spl31_50 | ~spl31_97)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f898,f981])).
% 0.78/0.40 thf(f1483,plain,(
% 0.78/0.40 ~spl31_47 | spl31_49 | ~spl31_50 | ~spl31_97),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1482])).
% 0.78/0.40 thf(f1495,plain,(
% 0.78/0.40 (((f5 @ $false)) = $false) | (~spl31_1 | ~spl31_98)),
% 0.78/0.40 inference(forward_demodulation,[],[f123,f559])).
% 0.78/0.40 thf(f1496,plain,(
% 0.78/0.40 ($true = ((f5 @ $false))) | (~spl31_3 | ~spl31_98)),
% 0.78/0.40 inference(forward_demodulation,[],[f132,f559])).
% 0.78/0.40 thf(f1497,plain,(
% 0.78/0.40 $false | (~spl31_3 | ~spl31_47 | spl31_49 | ~spl31_98)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1496,f981])).
% 0.78/0.40 thf(f1498,plain,(
% 0.78/0.40 ~spl31_3 | ~spl31_47 | spl31_49 | ~spl31_98),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1497])).
% 0.78/0.40 thf(f1521,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_28 | ~spl31_32 | ~spl31_65 | ~spl31_92)),
% 0.78/0.40 inference(forward_demodulation,[],[f1433,f1377])).
% 0.78/0.40 thf(f1522,plain,(
% 0.78/0.40 $false | (~spl31_28 | ~spl31_32 | ~spl31_65 | ~spl31_92)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1521])).
% 0.78/0.40 thf(f1523,plain,(
% 0.78/0.40 ~spl31_28 | ~spl31_32 | ~spl31_65 | ~spl31_92),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1522])).
% 0.78/0.40 thf(f1526,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_134 | ~spl31_135)),
% 0.78/0.40 inference(forward_demodulation,[],[f1424,f1428])).
% 0.78/0.40 thf(f1527,plain,(
% 0.78/0.40 $false | (~spl31_134 | ~spl31_135)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1526])).
% 0.78/0.40 thf(f1528,plain,(
% 0.78/0.40 ~spl31_134 | ~spl31_135),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1527])).
% 0.78/0.40 thf(f1529,plain,(
% 0.78/0.40 (((f0 @ $true)) = $false) | (~spl31_89 | ~spl31_114)),
% 0.78/0.40 inference(forward_demodulation,[],[f631,f519])).
% 0.78/0.40 thf(f1532,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_89 | ~spl31_114 | ~spl31_135)),
% 0.78/0.40 inference(forward_demodulation,[],[f1529,f1428])).
% 0.78/0.40 thf(f1533,plain,(
% 0.78/0.40 $false | (~spl31_89 | ~spl31_114 | ~spl31_135)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1532])).
% 0.78/0.40 thf(f1534,plain,(
% 0.78/0.40 ~spl31_89 | ~spl31_114 | ~spl31_135),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1533])).
% 0.78/0.40 thf(f1537,plain,(
% 0.78/0.40 (((f1 @ $false)) != $false) | (spl31_7 | ~spl31_14)),
% 0.78/0.40 inference(forward_demodulation,[],[f149,f181])).
% 0.78/0.40 thf(f1564,plain,(
% 0.78/0.40 ($true = ((f1 @ $true))) | (~spl31_66 | ~spl31_109)),
% 0.78/0.40 inference(forward_demodulation,[],[f415,f609])).
% 0.78/0.40 thf(f1565,plain,(
% 0.78/0.40 (((f1 @ $true)) = $false) | (~spl31_67 | ~spl31_109)),
% 0.78/0.40 inference(forward_demodulation,[],[f420,f609])).
% 0.78/0.40 thf(f1566,plain,(
% 0.78/0.40 ($true = ((f0 @ $false))) | (~spl31_96 | ~spl31_116)),
% 0.78/0.40 inference(forward_demodulation,[],[f550,f640])).
% 0.78/0.40 thf(f1574,plain,(
% 0.78/0.40 $false | (spl31_7 | ~spl31_14 | ~spl31_26 | ~spl31_107)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1537,f1302])).
% 0.78/0.40 thf(f1575,plain,(
% 0.78/0.40 spl31_7 | ~spl31_14 | ~spl31_26 | ~spl31_107),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1574])).
% 0.78/0.40 thf(f1576,plain,(
% 0.78/0.40 (((f2 @ $false)) = $true) | (~spl31_59 | ~spl31_108)),
% 0.78/0.40 inference(forward_demodulation,[],[f604,f384])).
% 0.78/0.40 thf(f1577,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_16 | ~spl31_59 | ~spl31_70 | ~spl31_108)),
% 0.78/0.40 inference(forward_demodulation,[],[f1576,f1215])).
% 0.78/0.40 thf(f1578,plain,(
% 0.78/0.40 $false | (~spl31_16 | ~spl31_59 | ~spl31_70 | ~spl31_108)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1577])).
% 0.78/0.40 thf(f1579,plain,(
% 0.78/0.40 ~spl31_16 | ~spl31_59 | ~spl31_70 | ~spl31_108),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1578])).
% 0.78/0.40 thf(f1581,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_69 | ~spl31_73)),
% 0.78/0.40 inference(forward_demodulation,[],[f429,f447])).
% 0.78/0.40 thf(f1584,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_69 | ~spl31_73 | ~spl31_76 | ~spl31_122)),
% 0.78/0.40 inference(forward_demodulation,[],[f1581,f1031])).
% 0.78/0.40 thf(f1585,plain,(
% 0.78/0.40 $false | (~spl31_69 | ~spl31_73 | ~spl31_76 | ~spl31_122)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1584])).
% 0.78/0.40 thf(f1586,plain,(
% 0.78/0.40 ~spl31_69 | ~spl31_73 | ~spl31_76 | ~spl31_122),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1585])).
% 0.78/0.40 thf(f1588,plain,(
% 0.78/0.40 ($true = ((f3 @ $true))) | (~spl31_41 | ~spl31_121)),
% 0.78/0.40 inference(forward_demodulation,[],[f663,f303])).
% 0.78/0.40 thf(f1589,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_41 | ~spl31_121 | ~spl31_124)),
% 0.78/0.40 inference(forward_demodulation,[],[f1588,f1285])).
% 0.78/0.40 thf(f1590,plain,(
% 0.78/0.40 $false | (~spl31_41 | ~spl31_121 | ~spl31_124)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1589])).
% 0.78/0.40 thf(f1591,plain,(
% 0.78/0.40 ~spl31_41 | ~spl31_121 | ~spl31_124),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1590])).
% 0.78/0.40 thf(f1600,plain,(
% 0.78/0.40 (((f1 @ $true)) = $false) | (~spl31_26 | ~spl31_106)),
% 0.78/0.40 inference(forward_demodulation,[],[f235,f595])).
% 0.78/0.40 thf(f1602,plain,(
% 0.78/0.40 (((f3 @ $true)) = $false) | (~spl31_76 | ~spl31_123)),
% 0.78/0.40 inference(forward_demodulation,[],[f460,f672])).
% 0.78/0.40 thf(f1623,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_66 | ~spl31_67 | ~spl31_109)),
% 0.78/0.40 inference(forward_demodulation,[],[f1565,f1564])).
% 0.78/0.40 thf(f1624,plain,(
% 0.78/0.40 $false | (~spl31_66 | ~spl31_67 | ~spl31_109)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1623])).
% 0.78/0.40 thf(f1625,plain,(
% 0.78/0.40 ~spl31_66 | ~spl31_67 | ~spl31_109),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1624])).
% 0.78/0.40 thf(f1629,plain,(
% 0.78/0.40 ($true != ((f0 @ $true))) | (spl31_29 | ~spl31_68)),
% 0.78/0.40 inference(constrained_superposition,[],[f248,f424])).
% 0.78/0.40 thf(f1632,plain,(
% 0.78/0.40 ~spl31_135 | spl31_29 | ~spl31_68),
% 0.78/0.40 inference(avatar_split_clause,[],[f1629,f422,f247,f1427])).
% 0.78/0.40 thf(f1641,plain,(
% 0.78/0.40 ($true = ((f3 @ $true))) | (~spl31_82 | ~spl31_86)),
% 0.78/0.40 inference(forward_demodulation,[],[f505,f487])).
% 0.78/0.40 thf(f1642,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_82 | ~spl31_86 | ~spl31_87)),
% 0.78/0.40 inference(forward_demodulation,[],[f1641,f1458])).
% 0.78/0.40 thf(f1643,plain,(
% 0.78/0.40 $false | (~spl31_82 | ~spl31_86 | ~spl31_87)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1642])).
% 0.78/0.40 thf(f1644,plain,(
% 0.78/0.40 ~spl31_82 | ~spl31_86 | ~spl31_87),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1643])).
% 0.78/0.40 thf(f1653,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_55 | ~spl31_58 | ~spl31_59 | ~spl31_108)),
% 0.78/0.40 inference(forward_demodulation,[],[f1576,f1348])).
% 0.78/0.40 thf(f1654,plain,(
% 0.78/0.40 $false | (~spl31_55 | ~spl31_58 | ~spl31_59 | ~spl31_108)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1653])).
% 0.78/0.40 thf(f1655,plain,(
% 0.78/0.40 ~spl31_55 | ~spl31_58 | ~spl31_59 | ~spl31_108),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1654])).
% 0.78/0.40 thf(f1671,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_59 | ~spl31_105 | ~spl31_108)),
% 0.78/0.40 inference(forward_demodulation,[],[f1576,f1359])).
% 0.78/0.40 thf(f1672,plain,(
% 0.78/0.40 $false | (~spl31_59 | ~spl31_105 | ~spl31_108)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1671])).
% 0.78/0.40 thf(f1673,plain,(
% 0.78/0.40 ~spl31_59 | ~spl31_105 | ~spl31_108),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1672])).
% 0.78/0.40 thf(f1686,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_26 | ~spl31_66 | ~spl31_106 | ~spl31_109)),
% 0.78/0.40 inference(forward_demodulation,[],[f1600,f1564])).
% 0.78/0.40 thf(f1687,plain,(
% 0.78/0.40 $false | (~spl31_26 | ~spl31_66 | ~spl31_106 | ~spl31_109)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1686])).
% 0.78/0.40 thf(f1688,plain,(
% 0.78/0.40 ~spl31_26 | ~spl31_66 | ~spl31_106 | ~spl31_109),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1687])).
% 0.78/0.40 thf(f1690,plain,(
% 0.78/0.40 (((f0 @ $false)) = $false) | (~spl31_94 | ~spl31_116)),
% 0.78/0.40 inference(forward_demodulation,[],[f541,f640])).
% 0.78/0.40 thf(f1694,plain,(
% 0.78/0.40 ($true = ((f0 @ $true))) | (~spl31_29 | ~spl31_68)),
% 0.78/0.40 inference(forward_demodulation,[],[f249,f424])).
% 0.78/0.40 thf(f1697,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_28 | ~spl31_92 | ~spl31_94 | ~spl31_116)),
% 0.78/0.40 inference(forward_demodulation,[],[f1690,f1377])).
% 0.78/0.40 thf(f1698,plain,(
% 0.78/0.40 $false | (~spl31_28 | ~spl31_92 | ~spl31_94 | ~spl31_116)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1697])).
% 0.78/0.40 thf(f1699,plain,(
% 0.78/0.40 ~spl31_28 | ~spl31_92 | ~spl31_94 | ~spl31_116),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1698])).
% 0.78/0.40 thf(f1700,plain,(
% 0.78/0.40 spl31_135 | ~spl31_29 | ~spl31_68),
% 0.78/0.40 inference(avatar_split_clause,[],[f1694,f422,f247,f1427])).
% 0.78/0.40 thf(f1729,plain,(
% 0.78/0.40 ($true = ((f3 @ $true))) | (~spl31_82 | ~spl31_86)),
% 0.78/0.40 inference(forward_demodulation,[],[f505,f487])).
% 0.78/0.40 thf(f1735,plain,(
% 0.78/0.40 (((f3 @ $false)) != $true) | (spl31_69 | ~spl31_73)),
% 0.78/0.40 inference(forward_demodulation,[],[f428,f447])).
% 0.78/0.40 thf(f1755,plain,(
% 0.78/0.40 ($true = ((f1 @ $true))) | (~spl31_6 | ~spl31_15)),
% 0.78/0.40 inference(forward_demodulation,[],[f145,f186])).
% 0.78/0.40 thf(f1766,plain,(
% 0.78/0.40 (((f2 @ $true)) = $false) | (~spl31_57 | ~spl31_105)),
% 0.78/0.40 inference(forward_demodulation,[],[f591,f375])).
% 0.78/0.40 thf(f1768,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_41 | ~spl31_76 | ~spl31_121 | ~spl31_123)),
% 0.78/0.40 inference(forward_demodulation,[],[f1602,f1588])).
% 0.78/0.40 thf(f1769,plain,(
% 0.78/0.40 $false | (~spl31_41 | ~spl31_76 | ~spl31_121 | ~spl31_123)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1768])).
% 0.78/0.40 thf(f1770,plain,(
% 0.78/0.40 ~spl31_41 | ~spl31_76 | ~spl31_121 | ~spl31_123),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1769])).
% 0.78/0.40 thf(f1771,plain,(
% 0.78/0.40 ($true != ((f3 @ $true))) | (~spl31_41 | spl31_121)),
% 0.78/0.40 inference(forward_demodulation,[],[f662,f303])).
% 0.78/0.40 thf(f1808,plain,(
% 0.78/0.40 $false | (~spl31_41 | ~spl31_82 | ~spl31_86 | spl31_121)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1771,f1729])).
% 0.78/0.40 thf(f1809,plain,(
% 0.78/0.40 ~spl31_41 | ~spl31_82 | ~spl31_86 | spl31_121),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1808])).
% 0.78/0.40 thf(f1810,plain,(
% 0.78/0.40 (((f5 @ $false)) != $false) | (~spl31_22 | spl31_80)),
% 0.78/0.40 inference(forward_demodulation,[],[f477,f217])).
% 0.78/0.40 thf(f1812,plain,(
% 0.78/0.40 (((f4 @ $true)) = $false) | (~spl31_9 | ~spl31_81)),
% 0.78/0.40 inference(forward_demodulation,[],[f483,f159])).
% 0.78/0.40 thf(f1813,plain,(
% 0.78/0.40 $false | (~spl31_22 | ~spl31_47 | ~spl31_51 | spl31_80)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1810,f982])).
% 0.78/0.40 thf(f1814,plain,(
% 0.78/0.40 ~spl31_22 | ~spl31_47 | ~spl31_51 | spl31_80),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1813])).
% 0.78/0.40 thf(f1817,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_9 | ~spl31_81 | ~spl31_125)),
% 0.78/0.40 inference(forward_demodulation,[],[f1812,f792])).
% 0.78/0.40 thf(f1818,plain,(
% 0.78/0.40 $false | (~spl31_9 | ~spl31_81 | ~spl31_125)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1817])).
% 0.78/0.40 thf(f1819,plain,(
% 0.78/0.40 ~spl31_9 | ~spl31_81 | ~spl31_125),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1818])).
% 0.78/0.40 thf(f1833,plain,(
% 0.78/0.40 ($true != $true) | (sF7 = $false) | spl31_82),
% 0.78/0.40 inference(constrained_superposition,[],[f486,f6])).
% 0.78/0.40 thf(f1834,plain,(
% 0.78/0.40 (sF7 = $false) | spl31_82),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1833])).
% 0.78/0.40 thf(f1835,plain,(
% 0.78/0.40 spl31_84 | spl31_82),
% 0.78/0.40 inference(avatar_split_clause,[],[f1834,f485,f494])).
% 0.78/0.40 thf(f1839,plain,(
% 0.78/0.40 (sF5 = $false) | ($true != $true) | spl31_120),
% 0.78/0.40 inference(constrained_superposition,[],[f657,f6])).
% 0.78/0.40 thf(f1840,plain,(
% 0.78/0.40 (sF5 = $false) | spl31_120),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1839])).
% 0.78/0.40 thf(f1843,plain,(
% 0.78/0.40 spl31_118 | spl31_120),
% 0.78/0.40 inference(avatar_split_clause,[],[f1840,f656,f647])).
% 0.78/0.40 thf(f1847,plain,(
% 0.78/0.40 (((f4 @ $false)) = $false) | (~spl31_10 | ~spl31_118)),
% 0.78/0.40 inference(forward_demodulation,[],[f163,f649])).
% 0.78/0.40 thf(f1853,plain,(
% 0.78/0.40 (((f4 @ $false)) = $true) | (~spl31_12 | ~spl31_83)),
% 0.78/0.40 inference(forward_demodulation,[],[f492,f172])).
% 0.78/0.40 thf(f1854,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_84 | ~spl31_86)),
% 0.78/0.40 inference(forward_demodulation,[],[f505,f496])).
% 0.78/0.40 thf(f1855,plain,(
% 0.78/0.40 $false | (spl31_69 | ~spl31_73 | ~spl31_84 | ~spl31_86)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1854,f1735])).
% 0.78/0.40 thf(f1856,plain,(
% 0.78/0.40 spl31_69 | ~spl31_73 | ~spl31_84 | ~spl31_86),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1855])).
% 0.78/0.40 thf(f1866,plain,(
% 0.78/0.40 (((f4 @ $true)) = $false) | (~spl31_79 | ~spl31_119)),
% 0.78/0.40 inference(forward_demodulation,[],[f654,f474])).
% 0.78/0.40 thf(f1867,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_79 | ~spl31_119 | ~spl31_125)),
% 0.78/0.40 inference(forward_demodulation,[],[f1866,f792])).
% 0.78/0.40 thf(f1868,plain,(
% 0.78/0.40 $false | (~spl31_79 | ~spl31_119 | ~spl31_125)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1867])).
% 0.78/0.40 thf(f1869,plain,(
% 0.78/0.40 ~spl31_79 | ~spl31_119 | ~spl31_125),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1868])).
% 0.78/0.40 thf(f1887,plain,(
% 0.78/0.40 (((f4 @ $false)) = $false) | (~spl31_4 | ~spl31_42)),
% 0.78/0.40 inference(forward_demodulation,[],[f307,f136])).
% 0.78/0.40 thf(f1894,plain,(
% 0.78/0.40 (((f3 @ $false)) = $false) | (~spl31_43 | ~spl31_124)),
% 0.78/0.40 inference(forward_demodulation,[],[f676,f312])).
% 0.78/0.40 thf(f1899,plain,(
% 0.78/0.40 $false | (~spl31_1 | ~spl31_22 | spl31_80 | ~spl31_98)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1810,f1495])).
% 0.78/0.40 thf(f1900,plain,(
% 0.78/0.40 ~spl31_1 | ~spl31_22 | spl31_80 | ~spl31_98),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1899])).
% 0.78/0.40 thf(f1905,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_102 | ~spl31_104)),
% 0.78/0.40 inference(forward_demodulation,[],[f586,f577])).
% 0.78/0.40 thf(f1906,plain,(
% 0.78/0.40 $false | (~spl31_102 | ~spl31_104)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1905])).
% 0.78/0.40 thf(f1907,plain,(
% 0.78/0.40 ~spl31_102 | ~spl31_104),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1906])).
% 0.78/0.40 thf(f1922,plain,(
% 0.78/0.40 ($true = ((f6 @ $false))) | (~spl31_20 | ~spl31_64)),
% 0.78/0.40 inference(forward_demodulation,[],[f406,f208])).
% 0.78/0.40 thf(f1938,plain,(
% 0.78/0.40 (((f6 @ $true)) = $false) | (~spl31_37 | ~spl31_61)),
% 0.78/0.40 inference(forward_demodulation,[],[f285,f393])).
% 0.78/0.40 thf(f1939,plain,(
% 0.78/0.40 spl31_133 | ~spl31_37 | ~spl31_61),
% 0.78/0.40 inference(avatar_split_clause,[],[f1938,f391,f283,f1041])).
% 0.78/0.40 thf(f1942,plain,(
% 0.78/0.40 (((f6 @ $false)) = $false) | (~spl31_46 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f325,f582])).
% 0.78/0.40 thf(f1943,plain,(
% 0.78/0.40 ($true = ((f6 @ $false))) | (~spl31_48 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f334,f582])).
% 0.78/0.40 thf(f1948,plain,(
% 0.78/0.40 (((f5 @ $true)) = $false) | (~spl31_45 | ~spl31_51)),
% 0.78/0.40 inference(forward_demodulation,[],[f348,f321])).
% 0.78/0.40 thf(f1962,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_10 | ~spl31_12 | ~spl31_83 | ~spl31_118)),
% 0.78/0.40 inference(forward_demodulation,[],[f1853,f1847])).
% 0.78/0.40 thf(f1963,plain,(
% 0.78/0.40 $false | (~spl31_10 | ~spl31_12 | ~spl31_83 | ~spl31_118)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1962])).
% 0.78/0.40 thf(f1964,plain,(
% 0.78/0.40 ~spl31_10 | ~spl31_12 | ~spl31_83 | ~spl31_118),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1963])).
% 0.78/0.40 thf(f1980,plain,(
% 0.78/0.40 (((f2 @ $true)) != $false) | (~spl31_53 | spl31_58)),
% 0.78/0.40 inference(forward_demodulation,[],[f378,f357])).
% 0.78/0.40 thf(f1995,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_20 | ~spl31_62 | ~spl31_64)),
% 0.78/0.40 inference(forward_demodulation,[],[f1922,f852])).
% 0.78/0.40 thf(f1996,plain,(
% 0.78/0.40 $false | (~spl31_20 | ~spl31_62 | ~spl31_64)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1995])).
% 0.78/0.40 thf(f1997,plain,(
% 0.78/0.40 ~spl31_20 | ~spl31_62 | ~spl31_64),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f1996])).
% 0.78/0.40 thf(f1999,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_20 | ~spl31_46 | ~spl31_64 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f1942,f1922])).
% 0.78/0.40 thf(f2000,plain,(
% 0.78/0.40 $false | (~spl31_20 | ~spl31_46 | ~spl31_64 | ~spl31_103)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f1999])).
% 0.78/0.40 thf(f2001,plain,(
% 0.78/0.40 ~spl31_20 | ~spl31_46 | ~spl31_64 | ~spl31_103),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2000])).
% 0.78/0.40 thf(f2004,plain,(
% 0.78/0.40 $false | (~spl31_53 | ~spl31_57 | spl31_58 | ~spl31_105)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f1980,f1766])).
% 0.78/0.40 thf(f2005,plain,(
% 0.78/0.40 ~spl31_53 | ~spl31_57 | spl31_58 | ~spl31_105),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2004])).
% 0.78/0.40 thf(f2006,plain,(
% 0.78/0.40 (((f1 @ $true)) = $false) | (~spl31_7 | ~spl31_15)),
% 0.78/0.40 inference(forward_demodulation,[],[f150,f186])).
% 0.78/0.40 thf(f2017,plain,(
% 0.78/0.40 (((f1 @ $true)) = $false) | (~spl31_26 | ~spl31_106)),
% 0.78/0.40 inference(forward_demodulation,[],[f235,f595])).
% 0.78/0.40 thf(f2019,plain,(
% 0.78/0.40 ($true = ((f1 @ $false))) | (~spl31_66 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f415,f622])).
% 0.78/0.40 thf(f2021,plain,(
% 0.78/0.40 (((f1 @ $false)) = $false) | (~spl31_5 | ~spl31_110)),
% 0.78/0.40 inference(forward_demodulation,[],[f613,f141])).
% 0.78/0.40 thf(f2030,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_6 | ~spl31_7 | ~spl31_15)),
% 0.78/0.40 inference(forward_demodulation,[],[f2006,f1755])).
% 0.78/0.40 thf(f2031,plain,(
% 0.78/0.40 $false | (~spl31_6 | ~spl31_7 | ~spl31_15)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2030])).
% 0.78/0.40 thf(f2032,plain,(
% 0.78/0.40 ~spl31_6 | ~spl31_7 | ~spl31_15),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2031])).
% 0.78/0.40 thf(f2039,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_5 | ~spl31_66 | ~spl31_110 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f2021,f2019])).
% 0.78/0.40 thf(f2040,plain,(
% 0.78/0.40 $false | (~spl31_5 | ~spl31_66 | ~spl31_110 | ~spl31_112)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2039])).
% 0.78/0.40 thf(f2041,plain,(
% 0.78/0.40 ~spl31_5 | ~spl31_66 | ~spl31_110 | ~spl31_112),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2040])).
% 0.78/0.40 thf(f2042,plain,(
% 0.78/0.40 (((f1 @ $true)) != $false) | (spl31_7 | ~spl31_15)),
% 0.78/0.40 inference(forward_demodulation,[],[f149,f186])).
% 0.78/0.40 thf(f2046,plain,(
% 0.78/0.40 (((f1 @ $true)) = $false) | (~spl31_8 | ~spl31_110)),
% 0.78/0.40 inference(forward_demodulation,[],[f613,f154])).
% 0.78/0.40 thf(f2052,plain,(
% 0.78/0.40 $false | (spl31_7 | ~spl31_15 | ~spl31_26 | ~spl31_106)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2042,f2017])).
% 0.78/0.40 thf(f2053,plain,(
% 0.78/0.40 spl31_7 | ~spl31_15 | ~spl31_26 | ~spl31_106),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2052])).
% 0.78/0.40 thf(f2059,plain,(
% 0.78/0.40 (((f0 @ $true)) = $false) | (~spl31_25 | ~spl31_90)),
% 0.78/0.40 inference(forward_demodulation,[],[f523,f231])).
% 0.78/0.40 thf(f2060,plain,(
% 0.78/0.40 spl31_134 | ~spl31_25 | ~spl31_90),
% 0.78/0.40 inference(avatar_split_clause,[],[f2059,f521,f229,f1422])).
% 0.78/0.40 thf(f2061,plain,(
% 0.78/0.40 ($true = ((f0 @ $true))) | (~spl31_25 | ~spl31_92)),
% 0.78/0.40 inference(forward_demodulation,[],[f532,f231])).
% 0.78/0.40 thf(f2062,plain,(
% 0.78/0.40 spl31_135 | ~spl31_25 | ~spl31_92),
% 0.78/0.40 inference(avatar_split_clause,[],[f2061,f530,f229,f1427])).
% 0.78/0.40 thf(f2070,plain,(
% 0.78/0.40 (((f0 @ $false)) = $false) | (~spl31_91 | ~spl31_114)),
% 0.78/0.40 inference(forward_demodulation,[],[f631,f528])).
% 0.78/0.40 thf(f2080,plain,(
% 0.78/0.40 $false | (spl31_7 | ~spl31_8 | ~spl31_15 | ~spl31_110)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2046,f2042])).
% 0.78/0.40 thf(f2081,plain,(
% 0.78/0.40 spl31_7 | ~spl31_8 | ~spl31_15 | ~spl31_110),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2080])).
% 0.78/0.40 thf(f2087,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_91 | ~spl31_96 | ~spl31_114 | ~spl31_116)),
% 0.78/0.40 inference(forward_demodulation,[],[f2070,f1566])).
% 0.78/0.40 thf(f2088,plain,(
% 0.78/0.40 $false | (~spl31_91 | ~spl31_96 | ~spl31_114 | ~spl31_116)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2087])).
% 0.78/0.40 thf(f2089,plain,(
% 0.78/0.40 ~spl31_91 | ~spl31_96 | ~spl31_114 | ~spl31_116),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2088])).
% 0.78/0.40 thf(f2090,plain,(
% 0.78/0.40 (((f1 @ $true)) = $false) | (~spl31_67 | ~spl31_109)),
% 0.78/0.40 inference(forward_demodulation,[],[f420,f609])).
% 0.78/0.40 thf(f2091,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_113 | ~spl31_116)),
% 0.78/0.40 inference(forward_demodulation,[],[f627,f640])).
% 0.78/0.40 thf(f2092,plain,(
% 0.78/0.40 $false | (~spl31_113 | ~spl31_116)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2091])).
% 0.78/0.40 thf(f2093,plain,(
% 0.78/0.40 ~spl31_113 | ~spl31_116),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2092])).
% 0.78/0.40 thf(f2097,plain,(
% 0.78/0.40 $false | (spl31_7 | ~spl31_15 | ~spl31_67 | ~spl31_109)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2090,f2042])).
% 0.78/0.40 thf(f2098,plain,(
% 0.78/0.40 spl31_7 | ~spl31_15 | ~spl31_67 | ~spl31_109),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2097])).
% 0.78/0.40 thf(f2101,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_74 | ~spl31_122)),
% 0.78/0.40 inference(forward_demodulation,[],[f451,f667])).
% 0.78/0.40 thf(f2102,plain,(
% 0.78/0.40 (((f3 @ $false)) = $true) | (~spl31_84 | ~spl31_86)),
% 0.78/0.40 inference(forward_demodulation,[],[f505,f496])).
% 0.78/0.40 thf(f2133,plain,(
% 0.78/0.40 ($true = ((f1 @ $false))) | (~spl31_6 | ~spl31_14)),
% 0.78/0.40 inference(forward_demodulation,[],[f145,f181])).
% 0.78/0.40 thf(f2135,plain,(
% 0.78/0.40 ($true = ((f2 @ $true))) | (~spl31_13 | ~spl31_72)),
% 0.78/0.40 inference(forward_demodulation,[],[f177,f442])).
% 0.78/0.40 thf(f2136,plain,(
% 0.78/0.40 spl31_126 | ~spl31_13 | ~spl31_72),
% 0.78/0.40 inference(avatar_split_clause,[],[f2135,f440,f175,f799])).
% 0.78/0.40 thf(f2137,plain,(
% 0.78/0.40 (((f2 @ $true)) = $false) | (~spl31_16 | ~spl31_72)),
% 0.78/0.40 inference(forward_demodulation,[],[f190,f442])).
% 0.78/0.40 thf(f2148,plain,(
% 0.78/0.40 ($true = ((f2 @ $true))) | (~spl31_56 | ~spl31_88)),
% 0.78/0.40 inference(forward_demodulation,[],[f370,f514])).
% 0.78/0.40 thf(f2149,plain,(
% 0.78/0.40 spl31_126 | ~spl31_56 | ~spl31_88),
% 0.78/0.40 inference(avatar_split_clause,[],[f2148,f512,f368,f799])).
% 0.78/0.40 thf(f2153,plain,(
% 0.78/0.40 (((f1 @ $false)) = $false) | (~spl31_67 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f420,f622])).
% 0.78/0.40 thf(f2156,plain,(
% 0.78/0.40 (((f0 @ $true)) = $false) | (~spl31_94 | ~spl31_113)),
% 0.78/0.40 inference(forward_demodulation,[],[f541,f627])).
% 0.78/0.40 thf(f2157,plain,(
% 0.78/0.40 spl31_134 | ~spl31_94 | ~spl31_113),
% 0.78/0.40 inference(avatar_split_clause,[],[f2156,f625,f539,f1422])).
% 0.78/0.40 thf(f2171,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_43 | ~spl31_74 | ~spl31_122 | ~spl31_124)),
% 0.78/0.40 inference(forward_demodulation,[],[f2101,f1894])).
% 0.78/0.40 thf(f2172,plain,(
% 0.78/0.40 $false | (~spl31_43 | ~spl31_74 | ~spl31_122 | ~spl31_124)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2171])).
% 0.78/0.40 thf(f2173,plain,(
% 0.78/0.40 ~spl31_43 | ~spl31_74 | ~spl31_122 | ~spl31_124),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2172])).
% 0.78/0.40 thf(f2175,plain,(
% 0.78/0.40 (sF23 = $false) | ($true != $true) | spl31_123),
% 0.78/0.40 inference(constrained_superposition,[],[f671,f6])).
% 0.78/0.40 thf(f2176,plain,(
% 0.78/0.40 (sF23 = $false) | spl31_123),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2175])).
% 0.78/0.40 thf(f2177,plain,(
% 0.78/0.40 $false | (spl31_122 | spl31_123)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2176,f666])).
% 0.78/0.40 thf(f2178,plain,(
% 0.78/0.40 spl31_122 | spl31_123),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2177])).
% 0.78/0.40 thf(f2180,plain,(
% 0.78/0.40 ($true = ((f3 @ $true))) | (~spl31_74 | ~spl31_123)),
% 0.78/0.40 inference(forward_demodulation,[],[f451,f672])).
% 0.78/0.40 thf(f2181,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_43 | ~spl31_84 | ~spl31_86 | ~spl31_124)),
% 0.78/0.40 inference(forward_demodulation,[],[f2102,f1894])).
% 0.78/0.40 thf(f2182,plain,(
% 0.78/0.40 $false | (~spl31_43 | ~spl31_84 | ~spl31_86 | ~spl31_124)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2181])).
% 0.78/0.40 thf(f2183,plain,(
% 0.78/0.40 ~spl31_43 | ~spl31_84 | ~spl31_86 | ~spl31_124),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2182])).
% 0.78/0.40 thf(f2242,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_6 | ~spl31_14 | ~spl31_67 | ~spl31_112)),
% 0.78/0.40 inference(forward_demodulation,[],[f2153,f2133])).
% 0.78/0.40 thf(f2243,plain,(
% 0.78/0.40 $false | (~spl31_6 | ~spl31_14 | ~spl31_67 | ~spl31_112)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2242])).
% 0.78/0.40 thf(f2244,plain,(
% 0.78/0.40 ~spl31_6 | ~spl31_14 | ~spl31_67 | ~spl31_112),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2243])).
% 0.78/0.40 thf(f2246,plain,(
% 0.78/0.40 ($true = ((f1 @ $true))) | (~spl31_8 | ~spl31_111)),
% 0.78/0.40 inference(forward_demodulation,[],[f618,f154])).
% 0.78/0.40 thf(f2248,plain,(
% 0.78/0.40 ($true != ((f1 @ $true))) | (spl31_66 | ~spl31_109)),
% 0.78/0.40 inference(forward_demodulation,[],[f414,f609])).
% 0.78/0.40 thf(f2258,plain,(
% 0.78/0.40 ($true != ((f5 @ $false))) | (~spl31_50 | spl31_97)),
% 0.78/0.40 inference(forward_demodulation,[],[f554,f343])).
% 0.78/0.40 thf(f2310,plain,(
% 0.78/0.40 $false | (~spl31_8 | spl31_66 | ~spl31_109 | ~spl31_111)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2248,f2246])).
% 0.78/0.40 thf(f2311,plain,(
% 0.78/0.40 ~spl31_8 | spl31_66 | ~spl31_109 | ~spl31_111),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2310])).
% 0.78/0.40 thf(f2327,plain,(
% 0.78/0.40 (((f1 @ $false)) = $false) | (~spl31_5 | ~spl31_110)),
% 0.78/0.40 inference(forward_demodulation,[],[f613,f141])).
% 0.78/0.40 thf(f2349,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_16 | ~spl31_72 | ~spl31_126)),
% 0.78/0.40 inference(forward_demodulation,[],[f801,f2137])).
% 0.78/0.40 thf(f2350,plain,(
% 0.78/0.40 $false | (~spl31_16 | ~spl31_72 | ~spl31_126)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2349])).
% 0.78/0.40 thf(f2351,plain,(
% 0.78/0.40 ~spl31_16 | ~spl31_72 | ~spl31_126),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2350])).
% 0.78/0.40 thf(f2352,plain,(
% 0.78/0.40 ($true != ((f3 @ $true))) | (spl31_69 | ~spl31_75)),
% 0.78/0.40 inference(forward_demodulation,[],[f428,f456])).
% 0.78/0.40 thf(f2371,plain,(
% 0.78/0.40 $false | (spl31_69 | ~spl31_74 | ~spl31_75 | ~spl31_123)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2352,f2180])).
% 0.78/0.40 thf(f2372,plain,(
% 0.78/0.40 spl31_69 | ~spl31_74 | ~spl31_75 | ~spl31_123),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2371])).
% 0.78/0.40 thf(f2373,plain,(
% 0.78/0.40 (((f4 @ $false)) != $false) | (~spl31_77 | spl31_119)),
% 0.78/0.40 inference(forward_demodulation,[],[f653,f465])).
% 0.78/0.40 thf(f2394,plain,(
% 0.78/0.40 ($true != ((f3 @ $true))) | (~spl31_82 | spl31_86)),
% 0.78/0.40 inference(forward_demodulation,[],[f504,f487])).
% 0.78/0.40 thf(f2411,plain,(
% 0.78/0.40 ($true != ((f2 @ $true))) | (spl31_13 | ~spl31_72)),
% 0.78/0.40 inference(forward_demodulation,[],[f176,f442])).
% 0.78/0.40 thf(f2412,plain,(
% 0.78/0.40 ~spl31_126 | spl31_13 | ~spl31_72),
% 0.78/0.40 inference(avatar_split_clause,[],[f2411,f440,f175,f799])).
% 0.78/0.40 thf(f2415,plain,(
% 0.78/0.40 (((f2 @ $false)) = $true) | (~spl31_56 | ~spl31_85)),
% 0.78/0.40 inference(forward_demodulation,[],[f370,f501])).
% 0.78/0.40 thf(f2421,plain,(
% 0.78/0.40 $false | (~spl31_4 | ~spl31_42 | ~spl31_77 | spl31_119)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2373,f1887])).
% 0.78/0.40 thf(f2422,plain,(
% 0.78/0.40 ~spl31_4 | ~spl31_42 | ~spl31_77 | spl31_119),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2421])).
% 0.78/0.40 thf(f2423,plain,(
% 0.78/0.40 ($true = ((f5 @ $false))) | (~spl31_3 | ~spl31_98)),
% 0.78/0.40 inference(forward_demodulation,[],[f132,f559])).
% 0.78/0.40 thf(f2434,plain,(
% 0.78/0.40 (((f4 @ $true)) != $true) | (~spl31_2 | spl31_44)),
% 0.78/0.40 inference(forward_demodulation,[],[f315,f127])).
% 0.78/0.40 thf(f2458,plain,(
% 0.78/0.40 $false | (~spl31_3 | ~spl31_50 | spl31_97 | ~spl31_98)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2423,f2258])).
% 0.78/0.40 thf(f2459,plain,(
% 0.78/0.40 ~spl31_3 | ~spl31_50 | spl31_97 | ~spl31_98),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2458])).
% 0.78/0.40 thf(f2461,plain,(
% 0.78/0.40 spl31_131 | ~spl31_45 | ~spl31_51),
% 0.78/0.40 inference(avatar_split_clause,[],[f1948,f346,f319,f905])).
% 0.78/0.40 thf(f2462,plain,(
% 0.78/0.40 (((f5 @ $true)) = $true) | (~spl31_45 | ~spl31_49)),
% 0.78/0.40 inference(forward_demodulation,[],[f339,f321])).
% 0.78/0.40 thf(f2463,plain,(
% 0.78/0.40 (((f6 @ $false)) = $false) | (~spl31_23 | ~spl31_39)),
% 0.78/0.40 inference(forward_demodulation,[],[f222,f294])).
% 0.78/0.40 thf(f2466,plain,(
% 0.78/0.40 spl31_130 | ~spl31_45 | ~spl31_49),
% 0.78/0.40 inference(avatar_split_clause,[],[f2462,f337,f319,f859])).
% 0.78/0.40 thf(f2467,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_20 | ~spl31_23 | ~spl31_39 | ~spl31_64)),
% 0.78/0.40 inference(forward_demodulation,[],[f2463,f1922])).
% 0.78/0.40 thf(f2468,plain,(
% 0.78/0.40 $false | (~spl31_20 | ~spl31_23 | ~spl31_39 | ~spl31_64)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2467])).
% 0.78/0.40 thf(f2469,plain,(
% 0.78/0.40 ~spl31_20 | ~spl31_23 | ~spl31_39 | ~spl31_64),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2468])).
% 0.78/0.40 thf(f2471,plain,(
% 0.78/0.40 ($true = ((f6 @ $true))) | (~spl31_40 | ~spl31_61)),
% 0.78/0.40 inference(forward_demodulation,[],[f298,f393])).
% 0.78/0.40 thf(f2473,plain,(
% 0.78/0.40 spl31_132 | ~spl31_40 | ~spl31_61),
% 0.78/0.40 inference(avatar_split_clause,[],[f2471,f391,f296,f1036])).
% 0.78/0.40 thf(f2474,plain,(
% 0.78/0.40 ($true != ((f6 @ $false))) | (~spl31_20 | spl31_64)),
% 0.78/0.40 inference(forward_demodulation,[],[f405,f208])).
% 0.78/0.40 thf(f2492,plain,(
% 0.78/0.40 ($true != ((f6 @ $true))) | (spl31_21 | ~spl31_38)),
% 0.78/0.40 inference(forward_demodulation,[],[f212,f289])).
% 0.78/0.40 thf(f2493,plain,(
% 0.78/0.40 ~spl31_132 | spl31_21 | ~spl31_38),
% 0.78/0.40 inference(avatar_split_clause,[],[f2492,f287,f211,f1036])).
% 0.78/0.40 thf(f2502,plain,(
% 0.78/0.40 (((f5 @ $true)) != $false) | (~spl31_52 | spl31_100)),
% 0.78/0.40 inference(forward_demodulation,[],[f567,f352])).
% 0.78/0.40 thf(f2503,plain,(
% 0.78/0.40 ~spl31_131 | ~spl31_52 | spl31_100),
% 0.78/0.40 inference(avatar_split_clause,[],[f2502,f566,f350,f905])).
% 0.78/0.40 thf(f2505,plain,(
% 0.78/0.40 $false | (~spl31_20 | ~spl31_48 | spl31_64 | ~spl31_103)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2474,f1943])).
% 0.78/0.40 thf(f2506,plain,(
% 0.78/0.40 ~spl31_20 | ~spl31_48 | spl31_64 | ~spl31_103),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2505])).
% 0.78/0.40 thf(f2507,plain,(
% 0.78/0.40 (((f7 @ $false)) != $false) | (~spl31_34 | spl31_102)),
% 0.78/0.40 inference(forward_demodulation,[],[f576,f271])).
% 0.78/0.40 thf(f2511,plain,(
% 0.78/0.40 (((f7 @ $true)) = $false) | (x = $false) | ~spl31_17),
% 0.78/0.40 inference(constrained_superposition,[],[f195,f6])).
% 0.78/0.40 thf(f2519,plain,(
% 0.78/0.40 (((f6 @ $true)) = $false) | (~spl31_46 | ~spl31_101)),
% 0.78/0.40 inference(forward_demodulation,[],[f325,f573])).
% 0.78/0.40 thf(f2520,plain,(
% 0.78/0.40 spl31_133 | ~spl31_46 | ~spl31_101),
% 0.78/0.40 inference(avatar_split_clause,[],[f2519,f571,f323,f1041])).
% 0.78/0.40 thf(f2521,plain,(
% 0.78/0.40 ($true = ((f6 @ $true))) | (~spl31_48 | ~spl31_101)),
% 0.78/0.40 inference(forward_demodulation,[],[f334,f573])).
% 0.78/0.40 thf(f2522,plain,(
% 0.78/0.40 spl31_132 | ~spl31_48 | ~spl31_101),
% 0.78/0.40 inference(avatar_split_clause,[],[f2521,f571,f332,f1036])).
% 0.78/0.40 thf(f2523,plain,(
% 0.78/0.40 ($true != ((f6 @ $true))) | (spl31_48 | ~spl31_101)),
% 0.78/0.40 inference(forward_demodulation,[],[f333,f573])).
% 0.78/0.40 thf(f2524,plain,(
% 0.78/0.40 ~spl31_132 | spl31_48 | ~spl31_101),
% 0.78/0.40 inference(avatar_split_clause,[],[f2523,f571,f332,f1036])).
% 0.78/0.40 thf(f2542,plain,(
% 0.78/0.40 ~spl31_125 | ~spl31_2 | spl31_44),
% 0.78/0.40 inference(avatar_split_clause,[],[f2434,f314,f125,f790])).
% 0.78/0.40 thf(f2545,plain,(
% 0.78/0.40 ($true = ((f6 @ $true))) | (~spl31_21 | ~spl31_38)),
% 0.78/0.40 inference(forward_demodulation,[],[f213,f289])).
% 0.78/0.40 thf(f2551,plain,(
% 0.78/0.40 spl31_132 | ~spl31_21 | ~spl31_38),
% 0.78/0.40 inference(avatar_split_clause,[],[f2545,f287,f211,f1036])).
% 0.78/0.40 thf(f2574,plain,(
% 0.78/0.40 (((f2 @ $false)) != $true) | (spl31_13 | ~spl31_70)),
% 0.78/0.40 inference(forward_demodulation,[],[f176,f433])).
% 0.78/0.40 thf(f2575,plain,(
% 0.78/0.40 $false | (spl31_13 | ~spl31_56 | ~spl31_70 | ~spl31_85)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2574,f2415])).
% 0.78/0.40 thf(f2576,plain,(
% 0.78/0.40 spl31_13 | ~spl31_56 | ~spl31_70 | ~spl31_85),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2575])).
% 0.78/0.40 thf(f2607,plain,(
% 0.78/0.40 ($true = ((f3 @ $true))) | (~spl31_69 | ~spl31_75)),
% 0.78/0.40 inference(forward_demodulation,[],[f429,f456])).
% 0.78/0.40 thf(f2612,plain,(
% 0.78/0.40 (((f5 @ $true)) != $false) | (~spl31_24 | spl31_80)),
% 0.78/0.40 inference(forward_demodulation,[],[f477,f226])).
% 0.78/0.40 thf(f2613,plain,(
% 0.78/0.40 ~spl31_131 | ~spl31_24 | spl31_80),
% 0.78/0.40 inference(avatar_split_clause,[],[f2612,f476,f224,f905])).
% 0.78/0.40 thf(f2634,plain,(
% 0.78/0.40 $false | (~spl31_20 | ~spl31_34 | ~spl31_35 | spl31_102)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2507,f846])).
% 0.78/0.40 thf(f2635,plain,(
% 0.78/0.40 ~spl31_20 | ~spl31_34 | ~spl31_35 | spl31_102),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2634])).
% 0.78/0.40 thf(f2636,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_34 | ~spl31_36)),
% 0.78/0.40 inference(forward_demodulation,[],[f280,f271])).
% 0.78/0.40 thf(f2637,plain,(
% 0.78/0.40 $false | (~spl31_34 | ~spl31_36)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2636])).
% 0.78/0.40 thf(f2638,plain,(
% 0.78/0.40 ~spl31_34 | ~spl31_36),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2637])).
% 0.78/0.40 thf(f2663,plain,(
% 0.78/0.40 $false | (~spl31_69 | ~spl31_75 | ~spl31_82 | spl31_86)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2607,f2394])).
% 0.78/0.40 thf(f2664,plain,(
% 0.78/0.40 ~spl31_69 | ~spl31_75 | ~spl31_82 | spl31_86),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2663])).
% 0.78/0.40 thf(f2665,plain,(
% 0.78/0.40 (((f5 @ $true)) = $false) | (~spl31_52 | ~spl31_100)),
% 0.78/0.40 inference(forward_demodulation,[],[f568,f352])).
% 0.78/0.40 thf(f2670,plain,(
% 0.78/0.40 (((f5 @ $true)) != $true) | (~spl31_24 | spl31_78)),
% 0.78/0.40 inference(forward_demodulation,[],[f468,f226])).
% 0.78/0.40 thf(f2671,plain,(
% 0.78/0.40 spl31_131 | ~spl31_52 | ~spl31_100),
% 0.78/0.40 inference(avatar_split_clause,[],[f2665,f566,f350,f905])).
% 0.78/0.40 thf(f2674,plain,(
% 0.78/0.40 ~spl31_130 | ~spl31_24 | spl31_78),
% 0.78/0.40 inference(avatar_split_clause,[],[f2670,f467,f224,f859])).
% 0.78/0.40 thf(f2682,plain,(
% 0.78/0.40 (sF2 = $false) | ($true != $true) | spl31_38),
% 0.78/0.40 inference(constrained_superposition,[],[f288,f6])).
% 0.78/0.40 thf(f2683,plain,(
% 0.78/0.40 (sF2 = $false) | spl31_38),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2682])).
% 0.78/0.40 thf(f2684,plain,(
% 0.78/0.40 spl31_39 | spl31_38),
% 0.78/0.40 inference(avatar_split_clause,[],[f2683,f287,f292])).
% 0.78/0.40 thf(f2730,plain,(
% 0.78/0.40 (((f7 @ $true)) != $false) | (~spl31_36 | spl31_102)),
% 0.78/0.40 inference(forward_demodulation,[],[f576,f280])).
% 0.78/0.40 thf(f2731,plain,(
% 0.78/0.40 ~spl31_128 | ~spl31_36 | spl31_102),
% 0.78/0.40 inference(avatar_split_clause,[],[f2730,f575,f278,f814])).
% 0.78/0.40 thf(f2733,plain,(
% 0.78/0.40 ($true != $true) | (sF16 = $false) | spl31_36),
% 0.78/0.40 inference(constrained_superposition,[],[f279,f6])).
% 0.78/0.40 thf(f2734,plain,(
% 0.78/0.40 (sF16 = $false) | spl31_36),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2733])).
% 0.78/0.40 thf(f2735,plain,(
% 0.78/0.40 $false | (spl31_34 | spl31_36)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2734,f270])).
% 0.78/0.40 thf(f2736,plain,(
% 0.78/0.40 spl31_34 | spl31_36),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2735])).
% 0.78/0.40 thf(f2781,plain,(
% 0.78/0.40 (((f7 @ $true)) != $true) | (~spl31_36 | spl31_104)),
% 0.78/0.40 inference(forward_demodulation,[],[f585,f280])).
% 0.78/0.40 thf(f2782,plain,(
% 0.78/0.40 ~spl31_129 | ~spl31_36 | spl31_104),
% 0.78/0.40 inference(avatar_split_clause,[],[f2781,f584,f278,f824])).
% 0.78/0.40 thf(f2850,plain,(
% 0.78/0.40 ($true = ((f1 @ $false))) | (~spl31_27 | ~spl31_107)),
% 0.78/0.40 inference(forward_demodulation,[],[f240,f600])).
% 0.78/0.40 thf(f2857,plain,(
% 0.78/0.40 (((f2 @ $true)) = $false) | (~spl31_54 | ~spl31_88)),
% 0.78/0.40 inference(forward_demodulation,[],[f361,f514])).
% 0.78/0.40 thf(f2899,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_5 | ~spl31_27 | ~spl31_107 | ~spl31_110)),
% 0.78/0.40 inference(forward_demodulation,[],[f2850,f2327])).
% 0.78/0.40 thf(f2900,plain,(
% 0.78/0.40 $false | (~spl31_5 | ~spl31_27 | ~spl31_107 | ~spl31_110)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f2899])).
% 0.78/0.40 thf(f2901,plain,(
% 0.78/0.40 ~spl31_5 | ~spl31_27 | ~spl31_107 | ~spl31_110),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2900])).
% 0.78/0.40 thf(f2907,plain,(
% 0.78/0.40 (((f6 @ $false)) = $false) | (~spl31_46 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f325,f582])).
% 0.78/0.40 thf(f2955,plain,(
% 0.78/0.40 ($true = ((f5 @ $false))) | (~spl31_47 | ~spl31_49)),
% 0.78/0.40 inference(forward_demodulation,[],[f339,f330])).
% 0.78/0.40 thf(f2961,plain,(
% 0.78/0.40 ($true != ((f5 @ $false))) | (~spl31_22 | spl31_78)),
% 0.78/0.40 inference(forward_demodulation,[],[f468,f217])).
% 0.78/0.40 thf(f2991,plain,(
% 0.78/0.40 $false | (~spl31_22 | ~spl31_47 | ~spl31_49 | spl31_78)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2961,f2955])).
% 0.78/0.40 thf(f2992,plain,(
% 0.78/0.40 ~spl31_22 | ~spl31_47 | ~spl31_49 | spl31_78),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f2991])).
% 0.78/0.40 thf(f2993,plain,(
% 0.78/0.40 ($true = ((f6 @ $false))) | (~spl31_40 | ~spl31_63)),
% 0.78/0.40 inference(forward_demodulation,[],[f298,f402])).
% 0.78/0.40 thf(f2994,plain,(
% 0.78/0.40 (((f6 @ $false)) != $false) | (spl31_37 | ~spl31_63)),
% 0.78/0.40 inference(forward_demodulation,[],[f284,f402])).
% 0.78/0.40 thf(f2995,plain,(
% 0.78/0.40 ($true = ((f6 @ $false))) | (~spl31_48 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f334,f582])).
% 0.78/0.40 thf(f2999,plain,(
% 0.78/0.40 spl31_128 | spl31_127 | ~spl31_17),
% 0.78/0.40 inference(avatar_split_clause,[],[f2511,f193,f810,f814])).
% 0.78/0.40 thf(f3001,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_17 | ~spl31_19)),
% 0.78/0.40 inference(forward_demodulation,[],[f204,f195])).
% 0.78/0.40 thf(f3002,plain,(
% 0.78/0.40 $false | (~spl31_17 | ~spl31_19)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f3001])).
% 0.78/0.40 thf(f3003,plain,(
% 0.78/0.40 ~spl31_17 | ~spl31_19),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3002])).
% 0.78/0.40 thf(f3006,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_40 | ~spl31_46 | ~spl31_63 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f2993,f2907])).
% 0.78/0.40 thf(f3007,plain,(
% 0.78/0.40 $false | (~spl31_40 | ~spl31_46 | ~spl31_63 | ~spl31_103)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f3006])).
% 0.78/0.40 thf(f3008,plain,(
% 0.78/0.40 ~spl31_40 | ~spl31_46 | ~spl31_63 | ~spl31_103),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3007])).
% 0.78/0.40 thf(f3009,plain,(
% 0.78/0.40 $false | (spl31_37 | ~spl31_46 | ~spl31_63 | ~spl31_103)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f2994,f2907])).
% 0.78/0.40 thf(f3010,plain,(
% 0.78/0.40 spl31_37 | ~spl31_46 | ~spl31_63 | ~spl31_103),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3009])).
% 0.78/0.40 thf(f3011,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_46 | ~spl31_48 | ~spl31_103)),
% 0.78/0.40 inference(forward_demodulation,[],[f2995,f2907])).
% 0.78/0.40 thf(f3012,plain,(
% 0.78/0.40 $false | (~spl31_46 | ~spl31_48 | ~spl31_103)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f3011])).
% 0.78/0.40 thf(f3013,plain,(
% 0.78/0.40 ~spl31_46 | ~spl31_48 | ~spl31_103),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3012])).
% 0.78/0.40 thf(f3032,plain,(
% 0.78/0.40 (((f7 @ $false)) != $false) | (spl31_17 | ~spl31_127)),
% 0.78/0.40 inference(forward_demodulation,[],[f194,f812])).
% 0.78/0.40 thf(f3036,plain,(
% 0.78/0.40 (((f7 @ $true)) = $true) | (~spl31_18 | ~spl31_33)),
% 0.78/0.40 inference(forward_demodulation,[],[f267,f199])).
% 0.78/0.40 thf(f3037,plain,(
% 0.78/0.40 spl31_129 | ~spl31_18 | ~spl31_33),
% 0.78/0.40 inference(avatar_split_clause,[],[f3036,f265,f197,f824])).
% 0.78/0.40 thf(f3038,plain,(
% 0.78/0.40 (((f7 @ $true)) = $false) | (~spl31_18 | ~spl31_35)),
% 0.78/0.40 inference(forward_demodulation,[],[f276,f199])).
% 0.78/0.40 thf(f3039,plain,(
% 0.78/0.40 spl31_128 | ~spl31_18 | ~spl31_35),
% 0.78/0.40 inference(avatar_split_clause,[],[f3038,f274,f197,f814])).
% 0.78/0.40 thf(f3048,plain,(
% 0.78/0.40 (((f6 @ $true)) = $false) | (~spl31_18 | ~spl31_62)),
% 0.78/0.40 inference(forward_demodulation,[],[f397,f199])).
% 0.78/0.40 thf(f3049,plain,(
% 0.78/0.40 spl31_133 | ~spl31_18 | ~spl31_62),
% 0.78/0.40 inference(avatar_split_clause,[],[f3048,f395,f197,f1041])).
% 0.78/0.40 thf(f3056,plain,(
% 0.78/0.40 (((f7 @ $false)) = $false) | (~spl31_34 | ~spl31_102)),
% 0.78/0.40 inference(forward_demodulation,[],[f577,f271])).
% 0.78/0.40 thf(f3076,plain,(
% 0.78/0.40 $false | (spl31_17 | ~spl31_34 | ~spl31_102 | ~spl31_127)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f3056,f3032])).
% 0.78/0.40 thf(f3077,plain,(
% 0.78/0.40 spl31_17 | ~spl31_34 | ~spl31_102 | ~spl31_127),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3076])).
% 0.78/0.40 thf(f3080,plain,(
% 0.78/0.40 (((f6 @ $false)) = $false) | (~spl31_37 | ~spl31_63)),
% 0.78/0.40 inference(forward_demodulation,[],[f285,f402])).
% 0.78/0.40 thf(f3081,plain,(
% 0.78/0.40 ($true = ((f6 @ $true))) | (~spl31_18 | ~spl31_64)),
% 0.78/0.40 inference(forward_demodulation,[],[f406,f199])).
% 0.78/0.40 thf(f3083,plain,(
% 0.78/0.40 spl31_132 | ~spl31_18 | ~spl31_64),
% 0.78/0.40 inference(avatar_split_clause,[],[f3081,f404,f197,f1036])).
% 0.78/0.40 thf(f3104,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_54 | ~spl31_88 | ~spl31_126)),
% 0.78/0.40 inference(forward_demodulation,[],[f801,f2857])).
% 0.78/0.40 thf(f3105,plain,(
% 0.78/0.40 $false | (~spl31_54 | ~spl31_88 | ~spl31_126)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f3104])).
% 0.78/0.40 thf(f3106,plain,(
% 0.78/0.40 ~spl31_54 | ~spl31_88 | ~spl31_126),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3105])).
% 0.78/0.40 thf(f3135,plain,(
% 0.78/0.40 ($true = $false) | (~spl31_132 | ~spl31_133)),
% 0.78/0.40 inference(forward_demodulation,[],[f1043,f1037])).
% 0.78/0.40 thf(f3136,plain,(
% 0.78/0.40 $false | (~spl31_132 | ~spl31_133)),
% 0.78/0.40 inference(trivial_inequality_removal,[],[f3135])).
% 0.78/0.40 thf(f3137,plain,(
% 0.78/0.40 ~spl31_132 | ~spl31_133),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3136])).
% 0.78/0.40 thf(f3142,plain,(
% 0.78/0.40 (((f6 @ $false)) != $false) | (spl31_23 | ~spl31_39)),
% 0.78/0.40 inference(forward_demodulation,[],[f221,f294])).
% 0.78/0.40 thf(f3158,plain,(
% 0.78/0.40 $false | (spl31_23 | ~spl31_37 | ~spl31_39 | ~spl31_63)),
% 0.78/0.40 inference(forward_subsumption_resolution,[],[f3142,f3080])).
% 0.78/0.40 thf(f3159,plain,(
% 0.78/0.40 spl31_23 | ~spl31_37 | ~spl31_39 | ~spl31_63),
% 0.78/0.40 inference(avatar_contradiction_clause,[],[f3158])).
% 0.78/0.40 cnf(s1, plain, spl31_1 | spl31_2, inference(sat_conversion,[],[f128])).
% 0.78/0.40 cnf(s2, plain, spl31_3 | spl31_4, inference(sat_conversion,[],[f137])).
% 0.78/0.40 cnf(s3, plain, spl31_5 | spl31_6, inference(sat_conversion,[],[f146])).
% 0.78/0.40 cnf(s4, plain, spl31_7 | spl31_8, inference(sat_conversion,[],[f155])).
% 0.78/0.40 cnf(s5, plain, spl31_9 | spl31_10, inference(sat_conversion,[],[f164])).
% 0.78/0.40 cnf(s6, plain, spl31_11 | spl31_12, inference(sat_conversion,[],[f173])).
% 0.78/0.40 cnf(s7, plain, spl31_13 | spl31_14, inference(sat_conversion,[],[f182])).
% 0.78/0.40 cnf(s8, plain, spl31_15 | spl31_16, inference(sat_conversion,[],[f191])).
% 0.78/0.40 cnf(s9, plain, spl31_17 | spl31_18, inference(sat_conversion,[],[f200])).
% 0.78/0.40 cnf(s10, plain, spl31_19 | spl31_20, inference(sat_conversion,[],[f209])).
% 0.78/0.40 cnf(s11, plain, spl31_21 | spl31_22, inference(sat_conversion,[],[f218])).
% 0.78/0.40 cnf(s12, plain, spl31_23 | spl31_24, inference(sat_conversion,[],[f227])).
% 0.78/0.40 cnf(s13, plain, spl31_25 | spl31_26, inference(sat_conversion,[],[f236])).
% 0.78/0.40 cnf(s14, plain, spl31_27 | spl31_28, inference(sat_conversion,[],[f245])).
% 0.78/0.40 cnf(s15, plain, spl31_29 | spl31_30, inference(sat_conversion,[],[f254])).
% 0.78/0.40 cnf(s16, plain, spl31_31 | spl31_32, inference(sat_conversion,[],[f263])).
% 0.78/0.40 cnf(s17, plain, spl31_33 | spl31_34, inference(sat_conversion,[],[f272])).
% 0.78/0.40 cnf(s18, plain, spl31_35 | spl31_36, inference(sat_conversion,[],[f281])).
% 0.78/0.40 cnf(s19, plain, spl31_37 | spl31_38, inference(sat_conversion,[],[f290])).
% 0.78/0.40 cnf(s20, plain, spl31_39 | spl31_40, inference(sat_conversion,[],[f299])).
% 0.78/0.40 cnf(s21, plain, spl31_41 | spl31_42, inference(sat_conversion,[],[f308])).
% 0.78/0.40 cnf(s22, plain, spl31_43 | spl31_44, inference(sat_conversion,[],[f317])).
% 0.78/0.40 cnf(s23, plain, spl31_45 | spl31_46, inference(sat_conversion,[],[f326])).
% 0.78/0.40 cnf(s24, plain, spl31_47 | spl31_48, inference(sat_conversion,[],[f335])).
% 0.78/0.40 cnf(s25, plain, spl31_49 | spl31_50, inference(sat_conversion,[],[f344])).
% 0.78/0.40 cnf(s26, plain, spl31_51 | spl31_52, inference(sat_conversion,[],[f353])).
% 0.78/0.40 cnf(s27, plain, spl31_53 | spl31_54, inference(sat_conversion,[],[f362])).
% 0.78/0.40 cnf(s28, plain, spl31_55 | spl31_56, inference(sat_conversion,[],[f371])).
% 0.78/0.40 cnf(s29, plain, spl31_57 | spl31_58, inference(sat_conversion,[],[f380])).
% 0.78/0.40 cnf(s30, plain, spl31_59 | spl31_60, inference(sat_conversion,[],[f389])).
% 0.78/0.40 cnf(s31, plain, spl31_61 | spl31_62, inference(sat_conversion,[],[f398])).
% 0.78/0.40 cnf(s32, plain, spl31_63 | spl31_64, inference(sat_conversion,[],[f407])).
% 0.78/0.40 cnf(s33, plain, spl31_65 | spl31_66, inference(sat_conversion,[],[f416])).
% 0.78/0.40 cnf(s34, plain, spl31_67 | spl31_68, inference(sat_conversion,[],[f425])).
% 0.78/0.40 cnf(s35, plain, spl31_69 | spl31_70, inference(sat_conversion,[],[f434])).
% 0.78/0.40 cnf(s36, plain, spl31_71 | spl31_72, inference(sat_conversion,[],[f443])).
% 0.78/0.40 cnf(s37, plain, spl31_73 | spl31_74, inference(sat_conversion,[],[f452])).
% 0.78/0.40 cnf(s38, plain, spl31_75 | spl31_76, inference(sat_conversion,[],[f461])).
% 0.78/0.40 cnf(s39, plain, spl31_77 | spl31_78, inference(sat_conversion,[],[f470])).
% 0.78/0.40 cnf(s40, plain, spl31_79 | spl31_80, inference(sat_conversion,[],[f479])).
% 0.78/0.40 cnf(s41, plain, spl31_81 | spl31_82, inference(sat_conversion,[],[f488])).
% 0.78/0.40 cnf(s42, plain, spl31_83 | spl31_84, inference(sat_conversion,[],[f497])).
% 0.78/0.40 cnf(s43, plain, spl31_85 | spl31_86, inference(sat_conversion,[],[f506])).
% 0.78/0.40 cnf(s44, plain, spl31_87 | spl31_88, inference(sat_conversion,[],[f515])).
% 0.78/0.40 cnf(s45, plain, spl31_89 | spl31_90, inference(sat_conversion,[],[f524])).
% 0.78/0.40 cnf(s46, plain, spl31_91 | spl31_92, inference(sat_conversion,[],[f533])).
% 0.78/0.40 cnf(s47, plain, spl31_93 | spl31_94, inference(sat_conversion,[],[f542])).
% 0.78/0.40 cnf(s48, plain, spl31_95 | spl31_96, inference(sat_conversion,[],[f551])).
% 0.78/0.40 cnf(s49, plain, spl31_97 | spl31_98, inference(sat_conversion,[],[f560])).
% 0.78/0.40 cnf(s50, plain, spl31_99 | spl31_100, inference(sat_conversion,[],[f569])).
% 0.78/0.40 cnf(s51, plain, spl31_101 | spl31_102, inference(sat_conversion,[],[f578])).
% 0.78/0.40 cnf(s52, plain, spl31_103 | spl31_104, inference(sat_conversion,[],[f587])).
% 0.78/0.40 cnf(s53, plain, spl31_105 | spl31_106, inference(sat_conversion,[],[f596])).
% 0.78/0.40 cnf(s54, plain, spl31_107 | spl31_108, inference(sat_conversion,[],[f605])).
% 0.78/0.40 cnf(s55, plain, spl31_109 | spl31_110, inference(sat_conversion,[],[f614])).
% 0.78/0.40 cnf(s56, plain, spl31_111 | spl31_112, inference(sat_conversion,[],[f623])).
% 0.78/0.40 cnf(s57, plain, spl31_113 | spl31_114, inference(sat_conversion,[],[f632])).
% 0.78/0.40 cnf(s58, plain, spl31_115 | spl31_116, inference(sat_conversion,[],[f641])).
% 0.78/0.40 cnf(s59, plain, spl31_117 | spl31_118, inference(sat_conversion,[],[f650])).
% 0.78/0.40 cnf(s60, plain, spl31_119 | spl31_120, inference(sat_conversion,[],[f659])).
% 0.78/0.40 cnf(s61, plain, spl31_121 | spl31_122, inference(sat_conversion,[],[f668])).
% 0.78/0.40 cnf(s62, plain, spl31_123 | spl31_124, inference(sat_conversion,[],[f677])).
% 0.78/0.40 cnf(s63, plain, spl31_30 | spl31_95, inference(sat_conversion,[],[f678])).
% 0.78/0.40 cnf(s64, plain, spl31_31 | spl31_93, inference(sat_conversion,[],[f679])).
% 0.78/0.40 cnf(s65, plain, ~spl31_41 | ~spl31_43, inference(sat_conversion,[],[f693])).
% 0.78/0.40 cnf(s66, plain, spl31_41 | spl31_43, inference(sat_conversion,[],[f697])).
% 0.78/0.40 cnf(s67, plain, ~spl31_45 | ~spl31_47, inference(sat_conversion,[],[f703])).
% 0.78/0.40 cnf(s69, plain, ~spl31_53 | ~spl31_55, inference(sat_conversion,[],[f712])).
% 0.78/0.40 cnf(s70, plain, spl31_53 | spl31_55, inference(sat_conversion,[],[f715])).
% 0.78/0.40 cnf(s71, plain, ~spl31_57 | ~spl31_59, inference(sat_conversion,[],[f721])).
% 0.78/0.40 cnf(s72, plain, spl31_57 | spl31_59, inference(sat_conversion,[],[f725])).
% 0.78/0.40 cnf(s75, plain, ~spl31_73 | ~spl31_75, inference(sat_conversion,[],[f744])).
% 0.78/0.40 cnf(s77, plain, ~spl31_89 | ~spl31_91, inference(sat_conversion,[],[f758])).
% 0.78/0.40 cnf(s79, plain, ~spl31_93 | ~spl31_95, inference(sat_conversion,[],[f768])).
% 0.78/0.40 cnf(s82, plain, spl31_101 | spl31_103, inference(sat_conversion,[],[f780])).
% 0.78/0.40 cnf(s84, plain, ~spl31_13 | spl31_70 | spl31_126, inference(sat_conversion,[],[f802])).
% 0.78/0.40 cnf(s86, plain, spl31_17 | spl31_127 | ~spl31_128, inference(sat_conversion,[],[f820])).
% 0.78/0.40 cnf(s89, plain, spl31_18 | spl31_20, inference(sat_conversion,[],[f833])).
% 0.78/0.40 cnf(s91, plain, ~spl31_9 | ~spl31_83 | spl31_125, inference(sat_conversion,[],[f865])).
% 0.78/0.40 cnf(s95, plain, ~spl31_79 | ~spl31_117 | spl31_125, inference(sat_conversion,[],[f885])).
% 0.78/0.40 cnf(s96, plain, ~spl31_78 | ~spl31_80, inference(sat_conversion,[],[f888])).
% 0.78/0.40 cnf(s100, plain, ~spl31_3 | ~spl31_99 | spl31_130, inference(sat_conversion,[],[f920])).
% 0.78/0.40 cnf(s101, plain, ~spl31_97 | ~spl31_100, inference(sat_conversion,[],[f923])).
% 0.78/0.40 cnf(s102, plain, ~spl31_2 | ~spl31_4, inference(sat_conversion,[],[f927])).
% 0.78/0.40 cnf(s105, plain, ~spl31_21 | ~spl31_23, inference(sat_conversion,[],[f949])).
% 0.78/0.40 cnf(s108, plain, ~spl31_17 | ~spl31_20 | ~spl31_33 | ~spl31_127, inference(sat_conversion,[],[f967])).
% 0.78/0.40 cnf(s111, plain, ~spl31_69 | ~spl31_71 | ~spl31_75, inference(sat_conversion,[],[f989])).
% 0.78/0.40 cnf(s112, plain, spl31_73 | spl31_75, inference(sat_conversion,[],[f994])).
% 0.78/0.40 cnf(s113, plain, spl31_73 | spl31_75, inference(sat_conversion,[],[f995])).
% 0.78/0.40 cnf(s114, plain, ~spl31_77 | ~spl31_117 | ~spl31_119, inference(sat_conversion,[],[f1009])).
% 0.78/0.40 cnf(s115, plain, ~spl31_43 | ~spl31_84 | ~spl31_87 | ~spl31_121, inference(sat_conversion,[],[f1015])).
% 0.78/0.40 cnf(s118, plain, ~spl31_37 | ~spl31_40 | ~spl31_63, inference(sat_conversion,[],[f1034])).
% 0.78/0.40 cnf(s119, plain, spl31_21 | spl31_39 | ~spl31_132, inference(sat_conversion,[],[f1039])).
% 0.78/0.40 cnf(s121, plain, ~spl31_69 | ~spl31_71 | ~spl31_73, inference(sat_conversion,[],[f1059])).
% 0.78/0.40 cnf(s123, plain, ~spl31_43 | ~spl31_74 | spl31_121 | ~spl31_122, inference(sat_conversion,[],[f1078])).
% 0.78/0.40 cnf(s124, plain, ~spl31_11 | ~spl31_77 | ~spl31_118 | ~spl31_119, inference(sat_conversion,[],[f1088])).
% 0.78/0.40 cnf(s125, plain, ~spl31_118 | ~spl31_120, inference(sat_conversion,[],[f1092])).
% 0.78/0.40 cnf(s126, plain, ~spl31_9 | ~spl31_12, inference(sat_conversion,[],[f1095])).
% 0.78/0.40 cnf(s127, plain, spl31_9 | spl31_12, inference(sat_conversion,[],[f1102])).
% 0.78/0.40 cnf(s130, plain, ~spl31_14 | ~spl31_15, inference(sat_conversion,[],[f1126])).
% 0.78/0.40 cnf(s131, plain, ~spl31_13 | ~spl31_59 | ~spl31_70 | ~spl31_105, inference(sat_conversion,[],[f1141])).
% 0.78/0.40 cnf(s133, plain, ~spl31_7 | ~spl31_15 | ~spl31_27 | ~spl31_106, inference(sat_conversion,[],[f1151])).
% 0.78/0.40 cnf(s134, plain, ~spl31_5 | ~spl31_8, inference(sat_conversion,[],[f1155])).
% 0.78/0.40 cnf(s135, plain, spl31_14 | spl31_15, inference(sat_conversion,[],[f1162])).
% 0.78/0.40 cnf(s136, plain, ~spl31_53 | ~spl31_60 | spl31_126, inference(sat_conversion,[],[f1164])).
% 0.78/0.40 cnf(s138, plain, ~spl31_57 | ~spl31_108 | spl31_126, inference(sat_conversion,[],[f1177])).
% 0.78/0.40 cnf(s139, plain, ~spl31_13 | ~spl31_16 | ~spl31_70, inference(sat_conversion,[],[f1187])).
% 0.78/0.40 cnf(s140, plain, ~spl31_53 | ~spl31_58 | ~spl31_126, inference(sat_conversion,[],[f1192])).
% 0.78/0.40 cnf(s141, plain, ~spl31_13 | ~spl31_54 | ~spl31_70 | ~spl31_85, inference(sat_conversion,[],[f1198])).
% 0.78/0.40 cnf(s143, plain, ~spl31_57 | spl31_108 | ~spl31_126, inference(sat_conversion,[],[f1201])).
% 0.78/0.40 cnf(s145, plain, ~spl31_84 | ~spl31_86 | ~spl31_87, inference(sat_conversion,[],[f1209])).
% 0.78/0.40 cnf(s146, plain, ~spl31_2 | ~spl31_42 | ~spl31_44, inference(sat_conversion,[],[f1213])).
% 0.78/0.40 cnf(s147, plain, ~spl31_2 | ~spl31_44 | spl31_125, inference(sat_conversion,[],[f1216])).
% 0.78/0.40 cnf(s148, plain, ~spl31_1 | ~spl31_99 | spl31_131, inference(sat_conversion,[],[f1221])).
% 0.78/0.40 cnf(s149, plain, spl31_2 | spl31_4, inference(sat_conversion,[],[f1224])).
% 0.78/0.40 cnf(s151, plain, ~spl31_5 | ~spl31_7 | ~spl31_14 | ~spl31_111, inference(sat_conversion,[],[f1243])).
% 0.78/0.40 cnf(s153, plain, ~spl31_109 | ~spl31_112, inference(sat_conversion,[],[f1252])).
% 0.78/0.40 cnf(s154, plain, spl31_5 | spl31_8, inference(sat_conversion,[],[f1253])).
% 0.78/0.40 cnf(s155, plain, spl31_109 | spl31_112, inference(sat_conversion,[],[f1259])).
% 0.78/0.40 cnf(s156, plain, ~spl31_4 | spl31_42 | ~spl31_77 | ~spl31_119, inference(sat_conversion,[],[f1265])).
% 0.78/0.40 cnf(s159, plain, ~spl31_7 | ~spl31_14 | ~spl31_27 | ~spl31_107, inference(sat_conversion,[],[f1297])).
% 0.78/0.40 cnf(s160, plain, ~spl31_25 | ~spl31_28, inference(sat_conversion,[],[f1300])).
% 0.78/0.40 cnf(s162, plain, ~spl31_28 | ~spl31_29 | ~spl31_65 | ~spl31_90, inference(sat_conversion,[],[f1312])).
% 0.78/0.40 cnf(s163, plain, ~spl31_6 | ~spl31_7 | ~spl31_14, inference(sat_conversion,[],[f1324])).
% 0.78/0.40 cnf(s164, plain, ~spl31_4 | ~spl31_12 | ~spl31_44 | ~spl31_81, inference(sat_conversion,[],[f1329])).
% 0.78/0.40 cnf(s165, plain, ~spl31_11 | ~spl31_120 | spl31_125, inference(sat_conversion,[],[f1331])).
% 0.78/0.40 cnf(s169, plain, ~spl31_16 | ~spl31_55 | ~spl31_60 | ~spl31_70, inference(sat_conversion,[],[f1351])).
% 0.78/0.40 cnf(s171, plain, ~spl31_28 | ~spl31_90 | ~spl31_91 | ~spl31_115, inference(sat_conversion,[],[f1376])).
% 0.78/0.40 cnf(s172, plain, ~spl31_89 | ~spl31_94 | ~spl31_113 | ~spl31_115, inference(sat_conversion,[],[f1382])).
% 0.78/0.40 cnf(s173, plain, ~spl31_30 | ~spl31_31, inference(sat_conversion,[],[f1387])).
% 0.78/0.40 cnf(s175, plain, spl31_113 | spl31_116, inference(sat_conversion,[],[f1397])).
% 0.78/0.40 cnf(s176, plain, ~spl31_29 | ~spl31_32, inference(sat_conversion,[],[f1400])).
% 0.78/0.40 cnf(s177, plain, spl31_29 | spl31_32, inference(sat_conversion,[],[f1408])).
% 0.78/0.40 cnf(s178, plain, ~spl31_7 | ~spl31_14 | ~spl31_66 | ~spl31_112, inference(sat_conversion,[],[f1419])).
% 0.78/0.40 cnf(s185, plain, ~spl31_96 | ~spl31_113 | spl31_135, inference(sat_conversion,[],[f1442])).
% 0.78/0.40 cnf(s186, plain, ~spl31_10 | ~spl31_120 | ~spl31_125, inference(sat_conversion,[],[f1445])).
% 0.78/0.40 cnf(s188, plain, ~spl31_82 | ~spl31_84, inference(sat_conversion,[],[f1455])).
% 0.78/0.40 cnf(s189, plain, ~spl31_47 | spl31_49 | ~spl31_50 | ~spl31_97, inference(sat_conversion,[],[f1483])).
% 0.78/0.40 cnf(s192, plain, ~spl31_3 | ~spl31_47 | spl31_49 | ~spl31_98, inference(sat_conversion,[],[f1498])).
% 0.78/0.40 cnf(s195, plain, ~spl31_28 | ~spl31_32 | ~spl31_65 | ~spl31_92, inference(sat_conversion,[],[f1523])).
% 0.78/0.40 cnf(s196, plain, ~spl31_134 | ~spl31_135, inference(sat_conversion,[],[f1528])).
% 0.78/0.40 cnf(s197, plain, ~spl31_89 | ~spl31_114 | ~spl31_135, inference(sat_conversion,[],[f1534])).
% 0.78/0.40 cnf(s204, plain, spl31_7 | ~spl31_14 | ~spl31_26 | ~spl31_107, inference(sat_conversion,[],[f1575])).
% 0.78/0.40 cnf(s205, plain, ~spl31_16 | ~spl31_59 | ~spl31_70 | ~spl31_108, inference(sat_conversion,[],[f1579])).
% 0.78/0.40 cnf(s207, plain, ~spl31_69 | ~spl31_73 | ~spl31_76 | ~spl31_122, inference(sat_conversion,[],[f1586])).
% 0.78/0.40 cnf(s208, plain, ~spl31_41 | ~spl31_121 | ~spl31_124, inference(sat_conversion,[],[f1591])).
% 0.78/0.40 cnf(s209, plain, ~spl31_66 | ~spl31_67 | ~spl31_109, inference(sat_conversion,[],[f1625])).
% 0.78/0.40 cnf(s211, plain, spl31_29 | ~spl31_68 | ~spl31_135, inference(sat_conversion,[],[f1632])).
% 0.78/0.40 cnf(s214, plain, ~spl31_82 | ~spl31_86 | ~spl31_87, inference(sat_conversion,[],[f1644])).
% 0.78/0.40 cnf(s215, plain, ~spl31_55 | ~spl31_58 | ~spl31_59 | ~spl31_108, inference(sat_conversion,[],[f1655])).
% 0.78/0.40 cnf(s217, plain, ~spl31_59 | ~spl31_105 | ~spl31_108, inference(sat_conversion,[],[f1673])).
% 0.78/0.40 cnf(s218, plain, ~spl31_26 | ~spl31_66 | ~spl31_106 | ~spl31_109, inference(sat_conversion,[],[f1688])).
% 0.78/0.40 cnf(s221, plain, ~spl31_28 | ~spl31_92 | ~spl31_94 | ~spl31_116, inference(sat_conversion,[],[f1699])).
% 0.78/0.40 cnf(s222, plain, ~spl31_29 | ~spl31_68 | spl31_135, inference(sat_conversion,[],[f1700])).
% 0.78/0.40 cnf(s231, plain, ~spl31_41 | ~spl31_76 | ~spl31_121 | ~spl31_123, inference(sat_conversion,[],[f1770])).
% 0.78/0.40 cnf(s233, plain, ~spl31_41 | ~spl31_82 | ~spl31_86 | spl31_121, inference(sat_conversion,[],[f1809])).
% 0.78/0.40 cnf(s234, plain, ~spl31_22 | ~spl31_47 | ~spl31_51 | spl31_80, inference(sat_conversion,[],[f1814])).
% 0.78/0.40 cnf(s236, plain, ~spl31_9 | ~spl31_81 | ~spl31_125, inference(sat_conversion,[],[f1819])).
% 0.78/0.40 cnf(s238, plain, spl31_82 | spl31_84, inference(sat_conversion,[],[f1835])).
% 0.78/0.40 cnf(s240, plain, spl31_118 | spl31_120, inference(sat_conversion,[],[f1843])).
% 0.78/0.40 cnf(s241, plain, spl31_69 | ~spl31_73 | ~spl31_84 | ~spl31_86, inference(sat_conversion,[],[f1856])).
% 0.78/0.40 cnf(s242, plain, ~spl31_79 | ~spl31_119 | ~spl31_125, inference(sat_conversion,[],[f1869])).
% 0.78/0.40 cnf(s246, plain, ~spl31_1 | ~spl31_22 | spl31_80 | ~spl31_98, inference(sat_conversion,[],[f1900])).
% 0.78/0.40 cnf(s248, plain, ~spl31_102 | ~spl31_104, inference(sat_conversion,[],[f1907])).
% 0.78/0.40 cnf(s253, plain, ~spl31_37 | ~spl31_61 | spl31_133, inference(sat_conversion,[],[f1939])).
% 0.78/0.40 cnf(s257, plain, ~spl31_10 | ~spl31_12 | ~spl31_83 | ~spl31_118, inference(sat_conversion,[],[f1964])).
% 0.78/0.40 cnf(s261, plain, ~spl31_20 | ~spl31_62 | ~spl31_64, inference(sat_conversion,[],[f1997])).
% 0.78/0.40 cnf(s262, plain, ~spl31_20 | ~spl31_46 | ~spl31_64 | ~spl31_103, inference(sat_conversion,[],[f2001])).
% 0.78/0.40 cnf(s263, plain, ~spl31_53 | ~spl31_57 | spl31_58 | ~spl31_105, inference(sat_conversion,[],[f2005])).
% 0.78/0.40 cnf(s265, plain, ~spl31_6 | ~spl31_7 | ~spl31_15, inference(sat_conversion,[],[f2032])).
% 0.78/0.40 cnf(s266, plain, ~spl31_5 | ~spl31_66 | ~spl31_110 | ~spl31_112, inference(sat_conversion,[],[f2041])).
% 0.78/0.40 cnf(s267, plain, spl31_7 | ~spl31_15 | ~spl31_26 | ~spl31_106, inference(sat_conversion,[],[f2053])).
% 0.78/0.40 cnf(s269, plain, ~spl31_25 | ~spl31_90 | spl31_134, inference(sat_conversion,[],[f2060])).
% 0.78/0.40 cnf(s270, plain, ~spl31_25 | ~spl31_92 | spl31_135, inference(sat_conversion,[],[f2062])).
% 0.78/0.40 cnf(s273, plain, spl31_7 | ~spl31_8 | ~spl31_15 | ~spl31_110, inference(sat_conversion,[],[f2081])).
% 0.78/0.40 cnf(s274, plain, ~spl31_91 | ~spl31_96 | ~spl31_114 | ~spl31_116, inference(sat_conversion,[],[f2089])).
% 0.78/0.40 cnf(s275, plain, ~spl31_113 | ~spl31_116, inference(sat_conversion,[],[f2093])).
% 0.78/0.40 cnf(s276, plain, spl31_7 | ~spl31_15 | ~spl31_67 | ~spl31_109, inference(sat_conversion,[],[f2098])).
% 0.78/0.40 cnf(s280, plain, ~spl31_13 | ~spl31_72 | spl31_126, inference(sat_conversion,[],[f2136])).
% 0.78/0.40 cnf(s283, plain, ~spl31_56 | ~spl31_88 | spl31_126, inference(sat_conversion,[],[f2149])).
% 0.78/0.40 cnf(s284, plain, ~spl31_94 | ~spl31_113 | spl31_134, inference(sat_conversion,[],[f2157])).
% 0.78/0.40 cnf(s286, plain, ~spl31_43 | ~spl31_74 | ~spl31_122 | ~spl31_124, inference(sat_conversion,[],[f2173])).
% 0.78/0.40 cnf(s287, plain, spl31_122 | spl31_123, inference(sat_conversion,[],[f2178])).
% 0.78/0.40 cnf(s288, plain, ~spl31_43 | ~spl31_84 | ~spl31_86 | ~spl31_124, inference(sat_conversion,[],[f2183])).
% 0.78/0.40 cnf(s294, plain, ~spl31_6 | ~spl31_14 | ~spl31_67 | ~spl31_112, inference(sat_conversion,[],[f2244])).
% 0.78/0.40 cnf(s299, plain, ~spl31_8 | spl31_66 | ~spl31_109 | ~spl31_111, inference(sat_conversion,[],[f2311])).
% 0.78/0.40 cnf(s301, plain, ~spl31_16 | ~spl31_72 | ~spl31_126, inference(sat_conversion,[],[f2351])).
% 0.78/0.40 cnf(s304, plain, spl31_69 | ~spl31_74 | ~spl31_75 | ~spl31_123, inference(sat_conversion,[],[f2372])).
% 0.78/0.40 cnf(s309, plain, spl31_13 | ~spl31_72 | ~spl31_126, inference(sat_conversion,[],[f2412])).
% 0.78/0.40 cnf(s310, plain, ~spl31_4 | ~spl31_42 | ~spl31_77 | spl31_119, inference(sat_conversion,[],[f2422])).
% 0.78/0.40 cnf(s312, plain, ~spl31_3 | ~spl31_50 | spl31_97 | ~spl31_98, inference(sat_conversion,[],[f2459])).
% 0.78/0.40 cnf(s313, plain, ~spl31_45 | ~spl31_51 | spl31_131, inference(sat_conversion,[],[f2461])).
% 0.78/0.40 cnf(s315, plain, ~spl31_45 | ~spl31_49 | spl31_130, inference(sat_conversion,[],[f2466])).
% 0.78/0.40 cnf(s316, plain, ~spl31_20 | ~spl31_23 | ~spl31_39 | ~spl31_64, inference(sat_conversion,[],[f2469])).
% 0.78/0.40 cnf(s318, plain, ~spl31_40 | ~spl31_61 | spl31_132, inference(sat_conversion,[],[f2473])).
% 0.78/0.40 cnf(s322, plain, spl31_21 | ~spl31_38 | ~spl31_132, inference(sat_conversion,[],[f2493])).
% 0.78/0.40 cnf(s325, plain, ~spl31_52 | spl31_100 | ~spl31_131, inference(sat_conversion,[],[f2503])).
% 0.78/0.40 cnf(s326, plain, ~spl31_20 | ~spl31_48 | spl31_64 | ~spl31_103, inference(sat_conversion,[],[f2506])).
% 0.78/0.40 cnf(s329, plain, ~spl31_46 | ~spl31_101 | spl31_133, inference(sat_conversion,[],[f2520])).
% 0.78/0.40 cnf(s330, plain, ~spl31_48 | ~spl31_101 | spl31_132, inference(sat_conversion,[],[f2522])).
% 0.78/0.40 cnf(s331, plain, spl31_48 | ~spl31_101 | ~spl31_132, inference(sat_conversion,[],[f2524])).
% 0.78/0.40 cnf(s334, plain, ~spl31_2 | spl31_44 | ~spl31_125, inference(sat_conversion,[],[f2542])).
% 0.78/0.40 cnf(s337, plain, ~spl31_21 | ~spl31_38 | spl31_132, inference(sat_conversion,[],[f2551])).
% 0.78/0.40 cnf(s342, plain, spl31_13 | ~spl31_56 | ~spl31_70 | ~spl31_85, inference(sat_conversion,[],[f2576])).
% 0.78/0.40 cnf(s355, plain, ~spl31_24 | spl31_80 | ~spl31_131, inference(sat_conversion,[],[f2613])).
% 0.78/0.40 cnf(s360, plain, ~spl31_20 | ~spl31_34 | ~spl31_35 | spl31_102, inference(sat_conversion,[],[f2635])).
% 0.78/0.40 cnf(s361, plain, ~spl31_34 | ~spl31_36, inference(sat_conversion,[],[f2638])).
% 0.78/0.40 cnf(s363, plain, ~spl31_69 | ~spl31_75 | ~spl31_82 | spl31_86, inference(sat_conversion,[],[f2664])).
% 0.78/0.40 cnf(s364, plain, ~spl31_52 | ~spl31_100 | spl31_131, inference(sat_conversion,[],[f2671])).
% 0.78/0.40 cnf(s368, plain, ~spl31_24 | spl31_78 | ~spl31_130, inference(sat_conversion,[],[f2674])).
% 0.78/0.40 cnf(s370, plain, spl31_38 | spl31_39, inference(sat_conversion,[],[f2684])).
% 0.78/0.40 cnf(s376, plain, ~spl31_36 | spl31_102 | ~spl31_128, inference(sat_conversion,[],[f2731])).
% 0.78/0.40 cnf(s377, plain, spl31_34 | spl31_36, inference(sat_conversion,[],[f2736])).
% 0.78/0.40 cnf(s385, plain, ~spl31_36 | spl31_104 | ~spl31_129, inference(sat_conversion,[],[f2782])).
% 0.78/0.40 cnf(s404, plain, ~spl31_5 | ~spl31_27 | ~spl31_107 | ~spl31_110, inference(sat_conversion,[],[f2901])).
% 0.78/0.40 cnf(s411, plain, ~spl31_22 | ~spl31_47 | ~spl31_49 | spl31_78, inference(sat_conversion,[],[f2992])).
% 0.78/0.40 cnf(s412, plain, ~spl31_17 | spl31_127 | spl31_128, inference(sat_conversion,[],[f2999])).
% 0.78/0.40 cnf(s413, plain, ~spl31_17 | ~spl31_19, inference(sat_conversion,[],[f3003])).
% 0.78/0.40 cnf(s414, plain, ~spl31_40 | ~spl31_46 | ~spl31_63 | ~spl31_103, inference(sat_conversion,[],[f3008])).
% 0.78/0.40 cnf(s415, plain, spl31_37 | ~spl31_46 | ~spl31_63 | ~spl31_103, inference(sat_conversion,[],[f3010])).
% 0.78/0.40 cnf(s416, plain, ~spl31_46 | ~spl31_48 | ~spl31_103, inference(sat_conversion,[],[f3013])).
% 0.78/0.40 cnf(s423, plain, ~spl31_18 | ~spl31_33 | spl31_129, inference(sat_conversion,[],[f3037])).
% 0.78/0.40 cnf(s424, plain, ~spl31_18 | ~spl31_35 | spl31_128, inference(sat_conversion,[],[f3039])).
% 0.78/0.40 cnf(s427, plain, ~spl31_18 | ~spl31_62 | spl31_133, inference(sat_conversion,[],[f3049])).
% 0.78/0.40 cnf(s431, plain, spl31_17 | ~spl31_34 | ~spl31_102 | ~spl31_127, inference(sat_conversion,[],[f3077])).
% 0.78/0.40 cnf(s432, plain, ~spl31_18 | ~spl31_64 | spl31_132, inference(sat_conversion,[],[f3083])).
% 0.78/0.40 cnf(s436, plain, ~spl31_54 | ~spl31_88 | ~spl31_126, inference(sat_conversion,[],[f3106])).
% 0.78/0.40 cnf(s439, plain, ~spl31_132 | ~spl31_133, inference(sat_conversion,[],[f3137])).
% 0.78/0.40 cnf(s441, plain, spl31_23 | ~spl31_37 | ~spl31_39 | ~spl31_63, inference(sat_conversion,[],[f3159])).
% 0.78/0.40 cnf(s447, plain, spl31_49 | ~spl31_47 | ~spl31_3, inference(rat,[],[s49,s189,s192,s25])).
% 0.78/0.40 cnf(s448, plain, spl31_57 | ~spl31_55 | ~spl31_108, inference(rat,[],[s215,s29,s72])).
% 0.78/0.40 cnf(s449, plain, spl31_53 | ~spl31_84 | ~spl31_43 | ~spl31_108 | spl31_13, inference(rat,[],[s37,s121,s123,s61,s35,s115,s169,s44,s36,s30,s436,s309,s71,s138,s448,s27,s70,s8,s130,s7])).
% 0.78/0.40 cnf(s450, plain, ~spl31_73 | ~spl31_122 | ~spl31_69, inference(rat,[],[s38,s75,s207])).
% 0.78/0.40 cnf(s451, plain, spl31_57 | ~spl31_53 | ~spl31_84 | ~spl31_43 | ~spl31_108 | ~spl31_16, inference(rat,[],[s450,s37,s123,s61,s115,s44,s283,s35,s140,s205,s29,s72,s28,s69])).
% 0.78/0.40 cnf(s452, plain, spl31_69 | ~spl31_56 | ~spl31_84 | ~spl31_43 | spl31_13, inference(rat,[],[s304,s37,s113,s62,s241,s288,s43,s342,s35])).
% 0.78/0.40 cnf(s453, plain, ~spl31_69 | ~spl31_71, inference(rat,[],[s112,s111,s121])).
% 0.78/0.40 cnf(s454, plain, spl31_41 | ~spl31_79 | ~spl31_108 | spl31_13 | spl31_9 | ~spl31_2, inference(rat,[],[s453,s452,s36,s309,s138,s451,s28,s69,s449,s42,s257,s59,s95,s334,s146,s21,s66,s127,s5,s8,s130,s7])).
% 0.78/0.40 cnf(s455, plain, ~spl31_79 | ~spl31_108 | spl31_13 | spl31_9 | ~spl31_2, inference(rat,[],[s60,s242,s186,s147,s22,s65,s454,s5])).
% 0.78/0.40 cnf(s456, plain, ~spl31_132 | spl31_21 | ~spl31_18, inference(rat,[],[s253,s31,s19,s427,s322,s439])).
% 0.78/0.40 cnf(s457, plain, spl31_73 | ~spl31_43 | spl31_69, inference(rat,[],[s286,s62,s287,s304,s37,s113])).
% 0.78/0.40 cnf(s458, plain, ~spl31_34 | ~spl31_102 | spl31_17, inference(rat,[],[s424,s86,s18,s431,s361,s9])).
% 0.78/0.40 cnf(s459, plain, ~spl31_102 | spl31_17, inference(rat,[],[s423,s385,s17,s377,s458,s248,s9])).
% 0.78/0.40 cnf(s460, plain, spl31_135 | ~spl31_96 | ~spl31_25, inference(rat,[],[s274,s57,s175,s46,s185,s270])).
% 0.78/0.40 cnf(s461, plain, ~spl31_67 | ~spl31_14 | spl31_5, inference(rat,[],[s209,s299,s56,s155,s294,s154,s3])).
% 0.78/0.40 cnf(s462, plain, spl31_29 | ~spl31_25 | ~spl31_68, inference(rat,[],[s79,s48,s64,s460,s173,s211,s15])).
% 0.78/0.40 cnf(s463, plain, ~spl31_25 | ~spl31_68, inference(rat,[],[s284,s47,s57,s79,s197,s63,s45,s173,s269,s16,s196,s176,s222,s462])).
% 0.78/0.40 cnf(s464, plain, ~spl31_132 | spl31_17 | spl31_78 | ~spl31_3, inference(rat,[],[s312,s49,s101,s25,s50,s315,s100,s368,s12,s23,s105,s329,s456,s439,s9,s51,s459])).
% 0.78/0.40 cnf(s465, plain, spl31_17 | spl31_78 | ~spl31_3, inference(rat,[],[s441,s19,s370,s105,s337,s11,s411,s447,s24,s32,s330,s432,s464,s51,s459,s9])).
% 0.78/0.40 cnf(s466, plain, spl31_130 | ~spl31_45 | ~spl31_3, inference(rat,[],[s312,s49,s101,s25,s50,s315,s100])).
% 0.78/0.40 cnf(s467, plain, ~spl31_103 | ~spl31_48 | spl31_78 | ~spl31_3, inference(rat,[],[s318,s20,s119,s316,s105,s12,s368,s466,s31,s261,s23,s326,s416,s10,s413,s465])).
% 0.78/0.40 cnf(s468, plain, ~spl31_34 | spl31_102 | ~spl31_20, inference(rat,[],[s18,s360,s361])).
% 0.78/0.40 cnf(s469, plain, spl31_102 | ~spl31_17, inference(rat,[],[s412,s108,s376,s17,s377,s468,s10,s413])).
% 0.78/0.40 cnf(s470, plain, spl31_78 | ~spl31_3, inference(rat,[],[s20,s441,s118,s415,s105,s32,s11,s262,s411,s23,s447,s67,s24,s467,s52,s248,s469,s10,s413,s465])).
% 0.78/0.40 cnf(s471, plain, ~spl31_13 | ~spl31_16, inference(rat,[],[s36,s453,s301,s35,s84,s139])).
% 0.78/0.40 cnf(s472, plain, ~spl31_14 | spl31_9 | spl31_7 | spl31_5 | ~spl31_2, inference(rat,[],[s471,s455,s54,s204,s13,s463,s34,s8,s461,s130,s40,s96,s470,s2,s102])).
% 0.78/0.40 cnf(s473, plain, ~spl31_53 | ~spl31_126 | ~spl31_57 | ~spl31_105, inference(rat,[],[s263,s140])).
% 0.78/0.40 cnf(s474, plain, ~spl31_87 | ~spl31_86, inference(rat,[],[s238,s214,s145])).
% 0.78/0.40 cnf(s475, plain, ~spl31_126 | ~spl31_70 | ~spl31_105 | ~spl31_13, inference(rat,[],[s474,s44,s43,s436,s141,s27,s473,s72,s131])).
% 0.78/0.40 cnf(s476, plain, spl31_118 | ~spl31_10 | ~spl31_79, inference(rat,[],[s95,s186,s59,s240])).
% 0.78/0.40 cnf(s477, plain, ~spl31_108 | ~spl31_43 | ~spl31_84 | ~spl31_105 | ~spl31_13, inference(rat,[],[s37,s123,s450,s61,s115,s44,s436,s35,s27,s475,s473,s138,s72,s217])).
% 0.78/0.40 cnf(s478, plain, spl31_69 | ~spl31_43 | ~spl31_84 | ~spl31_105 | ~spl31_13, inference(rat,[],[s141,s27,s43,s136,s30,s241,s475,s131,s457,s35])).
% 0.78/0.40 cnf(s479, plain, ~spl31_43 | ~spl31_13 | ~spl31_84 | ~spl31_105, inference(rat,[],[s37,s123,s450,s61,s115,s44,s436,s27,s140,s29,s143,s280,s36,s453,s478,s477])).
% 0.78/0.40 cnf(s480, plain, spl31_9 | spl31_7 | spl31_5 | ~spl31_2, inference(rat,[],[s479,s22,s147,s242,s42,s60,s257,s125,s476,s53,s267,s13,s463,s34,s276,s55,s273,s7,s135,s472,s5,s127,s40,s96,s470,s2,s102,s154])).
% 0.78/0.40 cnf(s481, plain, spl31_69 | ~spl31_41 | ~spl31_82 | ~spl31_108 | spl31_13, inference(rat,[],[s37,s304,s75,s38,s231,s62,s208,s233,s43,s342,s28,s169,s30,s205,s35,s8,s130,s7])).
% 0.78/0.40 cnf(s482, plain, ~spl31_41 | ~spl31_82 | spl31_13 | ~spl31_108, inference(rat,[],[s231,s61,s287,s450,s38,s113,s363,s474,s44,s283,s28,s448,s138,s309,s36,s453,s481])).
% 0.78/0.40 cnf(s483, plain, spl31_84 | ~spl31_108 | spl31_13 | ~spl31_9 | ~spl31_2, inference(rat,[],[s482,s21,s146,s334,s91,s42,s238])).
% 0.78/0.40 cnf(s484, plain, spl31_13 | spl31_7 | spl31_5 | ~spl31_2, inference(rat,[],[s36,s453,s309,s452,s138,s28,s451,s69,s449,s22,s147,s236,s41,s188,s483,s54,s204,s13,s463,s34,s8,s461,s130,s7,s480])).
% 0.78/0.40 cnf(s485, plain, spl31_84 | spl31_86 | ~spl31_69 | ~spl31_9 | ~spl31_2, inference(rat,[],[s231,s21,s61,s287,s146,s450,s334,s38,s113,s91,s363,s42,s238])).
% 0.78/0.40 cnf(s486, plain, ~spl31_84 | ~spl31_105 | ~spl31_13 | ~spl31_9 | ~spl31_2, inference(rat,[],[s147,s236,s22,s41,s479,s188])).
% 0.78/0.40 cnf(s487, plain, spl31_69 | ~spl31_41 | ~spl31_82 | ~spl31_105 | ~spl31_13, inference(rat,[],[s37,s304,s75,s38,s231,s62,s208,s233,s43,s141,s27,s136,s30,s475,s131,s35])).
% 0.78/0.40 cnf(s488, plain, ~spl31_53 | ~spl31_105 | ~spl31_126, inference(rat,[],[s29,s140,s473])).
% 0.78/0.40 cnf(s489, plain, ~spl31_105 | ~spl31_13 | ~spl31_2 | ~spl31_9, inference(rat,[],[s488,s27,s436,s44,s280,s474,s36,s485,s453,s487,s21,s146,s334,s91,s42,s238,s486])).
% 0.78/0.40 cnf(s490, plain, spl31_7 | spl31_5 | ~spl31_2, inference(rat,[],[s489,s53,s267,s13,s463,s34,s276,s55,s273,s8,s471,s484,s480,s154])).
% 0.78/0.40 cnf(s491, plain, ~spl31_7 | ~spl31_6, inference(rat,[],[s135,s163,s265])).
% 0.78/0.40 cnf(s492, plain, spl31_5 | ~spl31_2, inference(rat,[],[s491,s490,s3])).
% 0.78/0.40 cnf(s493, plain, spl31_9 | ~spl31_83 | ~spl31_79, inference(rat,[],[s257,s476,s5,s127])).
% 0.78/0.40 cnf(s494, plain, spl31_29 | ~spl31_28 | ~spl31_65, inference(rat,[],[s57,s274,s275,s58,s171,s48,s45,s79,s77,s64,s46,s173,s195,s15,s177])).
% 0.78/0.40 cnf(s495, plain, ~spl31_28 | ~spl31_65, inference(rat,[],[s172,s58,s175,s221,s47,s79,s46,s63,s77,s173,s45,s16,s162,s176,s494])).
% 0.78/0.40 cnf(s496, plain, spl31_13 | ~spl31_2, inference(rat,[],[s36,s453,s309,s452,s138,s28,s451,s69,s449,s22,s147,s236,s41,s188,s483,s455,s54,s404,s14,s495,s33,s55,s178,s153,s56,s8,s151,s130,s7,s40,s96,s470,s2,s102,s4,s134,s492])).
% 0.78/0.40 cnf(s497, plain, ~spl31_106 | ~spl31_2, inference(rat,[],[s266,s55,s155,s218,s33,s13,s495,s160,s14,s133,s4,s134,s492,s8,s471,s496])).
% 0.78/0.40 cnf(s498, plain, ~spl31_2, inference(rat,[],[s147,s242,s22,s60,s479,s125,s42,s476,s493,s5,s489,s53,s497,s496,s40,s96,s470,s2,s102])).
% 0.78/0.40 cnf(s499, plain, spl31_4, inference(rat,[],[s149,s498])).
% 0.78/0.40 cnf(s500, plain, spl31_1, inference(rat,[],[s1,s498])).
% 0.78/0.40 cnf(s501, plain, spl31_84 | spl31_9 | ~spl31_108 | spl31_13, inference(rat,[],[s114,s310,s39,s96,s59,s40,s21,s257,s493,s482,s42,s238,s127,s5,s499])).
% 0.78/0.40 cnf(s502, plain, spl31_9 | ~spl31_108 | spl31_13, inference(rat,[],[s36,s453,s309,s452,s138,s28,s451,s69,s449,s22,s164,s41,s188,s501,s127,s8,s130,s7,s499])).
% 0.78/0.40 cnf(s503, plain, ~spl31_77 | ~spl31_42 | ~spl31_11, inference(rat,[],[s59,s124,s114,s310,s499])).
% 0.78/0.40 cnf(s504, plain, spl31_131 | ~spl31_45, inference(rat,[],[s364,s50,s26,s148,s313,s500])).
% 0.78/0.40 cnf(s505, plain, spl31_17 | ~spl31_48 | spl31_80, inference(rat,[],[s504,s355,s12,s23,s105,s329,s456,s439,s330,s51,s459,s9])).
% 0.78/0.40 cnf(s506, plain, ~spl31_48 | spl31_80, inference(rat,[],[s318,s20,s119,s316,s105,s12,s355,s31,s504,s261,s23,s326,s416,s52,s248,s10,s469,s413,s505])).
% 0.78/0.40 cnf(s507, plain, ~spl31_21 | ~spl31_63 | spl31_132, inference(rat,[],[s441,s19,s370,s337,s105])).
% 0.78/0.40 cnf(s508, plain, ~spl31_22 | spl31_80, inference(rat,[],[s148,s325,s50,s101,s26,s49,s234,s246,s24,s506,s500])).
% 0.78/0.40 cnf(s509, plain, spl31_132 | spl31_80, inference(rat,[],[s248,s52,s469,s262,s9,s89,s432,s32,s507,s23,s67,s24,s506,s11,s508])).
% 0.78/0.40 cnf(s510, plain, spl31_80, inference(rat,[],[s20,s441,s414,s415,s32,s262,s10,s413,s459,s51,s82,s331,s509,s105,s11,s508,s23,s67,s24,s506])).
% 0.78/0.40 cnf(s511, plain, ~spl31_78, inference(rat,[],[s96,s510])).
% 0.78/0.40 cnf(s512, plain, spl31_77, inference(rat,[],[s39,s511])).
% 0.78/0.40 cnf(s515, plain, ~spl31_108 | spl31_13, inference(rat,[],[s236,s41,s165,s482,s60,s21,s156,s503,s6,s126,s502,s512,s499])).
% 0.78/0.40 cnf(s516, plain, spl31_13 | spl31_7, inference(rat,[],[s515,s54,s204,s13,s463,s34,s461,s7,s134,s4])).
% 0.78/0.40 cnf(s517, plain, ~spl31_82 | spl31_86 | ~spl31_69 | spl31_9, inference(rat,[],[s21,s310,s231,s114,s61,s287,s59,s450,s257,s38,s113,s42,s363,s188,s127,s5,s499,s512])).
% 0.78/0.40 cnf(s518, plain, spl31_82 | ~spl31_12 | spl31_7, inference(rat,[],[s22,s164,s479,s41,s238,s53,s267,s13,s463,s34,s276,s55,s273,s4,s8,s471,s516,s499])).
% 0.78/0.40 cnf(s519, plain, spl31_9 | spl31_7, inference(rat,[],[s27,s436,s488,s44,s280,s474,s36,s517,s453,s487,s21,s310,s114,s59,s257,s42,s188,s518,s5,s127,s53,s267,s13,s463,s34,s276,s55,s273,s4,s8,s471,s516,s499,s512])).
% 0.78/0.40 cnf(s520, plain, ~spl31_82 | ~spl31_13 | ~spl31_41 | ~spl31_105, inference(rat,[],[s231,s61,s287,s450,s38,s113,s363,s474,s44,s436,s27,s488,s280,s36,s453,s487])).
% 0.78/0.40 cnf(s521, plain, spl31_7, inference(rat,[],[s520,s41,s236,s165,s60,s21,s156,s503,s6,s126,s519,s53,s267,s13,s463,s34,s276,s55,s273,s8,s471,s516,s4,s499,s512])).
% 0.78/0.40 cnf(s522, plain, ~spl31_6, inference(rat,[],[s491,s521])).
% 0.78/0.40 cnf(s523, plain, spl31_5, inference(rat,[],[s3,s522])).
% 0.78/0.40 cnf(s525, plain, spl31_13, inference(rat,[],[s495,s33,s14,s178,s159,s56,s54,s151,s515,s7,s521,s523])).
% 0.78/0.40 cnf(s526, plain, ~spl31_16, inference(rat,[],[s471,s525])).
% 0.78/0.40 cnf(s527, plain, spl31_15, inference(rat,[],[s8,s526])).
% 0.78/0.40 cnf(s529, plain, ~spl31_26 | ~spl31_106 | ~spl31_66, inference(rat,[],[s266,s55,s155,s218,s523])).
% 0.78/0.40 cnf(s530, plain, ~spl31_106, inference(rat,[],[s529,s33,s13,s495,s160,s14,s133,s521,s527])).
% 0.78/0.40 cnf(s532, plain, spl31_105, inference(rat,[],[s53,s530])).
% 0.78/0.40 cnf(s533, plain, ~spl31_82 | spl31_9, inference(rat,[],[s114,s59,s310,s257,s21,s42,s520,s188,s127,s5,s512,s499,s525,s532])).
% 0.78/0.40 cnf(s534, plain, spl31_9, inference(rat,[],[s22,s164,s479,s41,s238,s533,s127,s499,s525,s532])).
% 0.78/0.40 cnf(s535, plain, ~spl31_12, inference(rat,[],[s126,s534])).
% 0.78/0.40 cnf(s536, plain, spl31_11, inference(rat,[],[s6,s535])).
% 0.78/0.40 cnf(s537, plain, ~spl31_42, inference(rat,[],[s503,s512,s536])).
% 0.78/0.40 cnf(s538, plain, ~spl31_119, inference(rat,[],[s156,s512,s499,s537])).
% 0.78/0.40 cnf(s539, plain, spl31_41, inference(rat,[],[s21,s537])).
% 0.78/0.40 cnf(s540, plain, spl31_120, inference(rat,[],[s60,s538])).
% 0.78/0.40 cnf(s542, plain, ~spl31_82, inference(rat,[],[s520,s532,s525,s539])).
% 0.78/0.40 cnf(s544, plain, spl31_125, inference(rat,[],[s165,s536,s540])).
% 0.78/0.40 cnf(s547, plain, spl31_81, inference(rat,[],[s41,s542])).
% 0.78/0.40 cnf(s549, plain, $false, inference(rat,[],[s236,s534,s544,s547])).
% 0.78/0.40 thf(f3162,plain,(
% 0.78/0.40 $false),
% 0.78/0.40 inference(avatar_sat_refutation,[],[s549])).
% 0.78/0.40 % SZS output end Proof for theBenchmark
% 0.78/0.40 % (619368)------------------------------
% 0.78/0.40 % (619368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.40 % (619368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.40 % (619368)CaDiCaL version: 2.1.3
% 0.78/0.40 % (619368)Termination reason: Refutation
% 0.78/0.40 % (619368)Time elapsed: 0.093 s
% 0.78/0.40 % (619368)Peak memory usage: 13 MB
% 0.78/0.40 % (619368)Instructions burned: 158 (million)
% 0.78/0.40 % (619357)Success in time 0.132 s
% 0.78/0.40 % Vampire exiting
%------------------------------------------------------------------------------