TSTP Solution File: SYN036^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN036^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:20:28 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN036^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 15:21:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 % (18548)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.39 % (18550)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.15/0.39 % (18551)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.39 % (18549)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.15/0.39 % (18552)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.39 % (18553)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.15/0.39 % (18554)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.39 % (18555)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.39 % (18552)Instruction limit reached!
% 0.15/0.39 % (18552)------------------------------
% 0.15/0.39 % (18552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18552)Termination reason: Unknown
% 0.15/0.39 % (18552)Termination phase: Clausification
% 0.15/0.39
% 0.15/0.39 % (18552)Memory used [KB]: 895
% 0.15/0.39 % (18552)Time elapsed: 0.003 s
% 0.15/0.39 % (18552)Instructions burned: 2 (million)
% 0.15/0.39 % (18552)------------------------------
% 0.15/0.39 % (18552)------------------------------
% 0.15/0.39 % (18551)Instruction limit reached!
% 0.15/0.39 % (18551)------------------------------
% 0.15/0.39 % (18551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18551)Termination reason: Unknown
% 0.15/0.39 % (18551)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (18551)Memory used [KB]: 5500
% 0.15/0.39 % (18551)Time elapsed: 0.004 s
% 0.15/0.39 % (18551)Instructions burned: 3 (million)
% 0.15/0.39 % (18551)------------------------------
% 0.15/0.39 % (18551)------------------------------
% 0.15/0.39 % (18555)Instruction limit reached!
% 0.15/0.39 % (18555)------------------------------
% 0.15/0.39 % (18555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18555)Termination reason: Unknown
% 0.15/0.39 % (18555)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (18555)Memory used [KB]: 5500
% 0.15/0.39 % (18555)Time elapsed: 0.004 s
% 0.15/0.39 % (18555)Instructions burned: 3 (million)
% 0.15/0.39 % (18555)------------------------------
% 0.15/0.39 % (18555)------------------------------
% 0.15/0.39 % (18549)Instruction limit reached!
% 0.15/0.39 % (18549)------------------------------
% 0.15/0.39 % (18549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18549)Termination reason: Unknown
% 0.15/0.39 % (18549)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (18549)Memory used [KB]: 5500
% 0.15/0.39 % (18549)Time elapsed: 0.004 s
% 0.15/0.39 % (18549)Instructions burned: 4 (million)
% 0.15/0.39 % (18549)------------------------------
% 0.15/0.39 % (18549)------------------------------
% 0.15/0.39 % (18553)Refutation not found, incomplete strategy
% 0.15/0.39 % (18553)------------------------------
% 0.15/0.39 % (18553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18553)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (18553)Memory used [KB]: 5628
% 0.15/0.39 % (18553)Time elapsed: 0.008 s
% 0.15/0.39 % (18553)Instructions burned: 8 (million)
% 0.15/0.39 % (18553)------------------------------
% 0.15/0.39 % (18553)------------------------------
% 0.15/0.40 % (18554)Instruction limit reached!
% 0.15/0.40 % (18554)------------------------------
% 0.15/0.40 % (18554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (18554)Termination reason: Unknown
% 0.15/0.40 % (18554)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (18554)Memory used [KB]: 5756
% 0.15/0.40 % (18554)Time elapsed: 0.015 s
% 0.15/0.40 % (18554)Instructions burned: 18 (million)
% 0.15/0.40 % (18554)------------------------------
% 0.15/0.40 % (18554)------------------------------
% 0.15/0.40 % (18556)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.40 % (18550)Instruction limit reached!
% 0.15/0.40 % (18550)------------------------------
% 0.15/0.40 % (18550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (18550)Termination reason: Unknown
% 0.15/0.40 % (18557)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.40 % (18550)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (18550)Memory used [KB]: 5756
% 0.15/0.40 % (18550)Time elapsed: 0.019 s
% 0.15/0.40 % (18550)Instructions burned: 27 (million)
% 0.15/0.40 % (18550)------------------------------
% 0.15/0.40 % (18550)------------------------------
% 0.15/0.40 % (18558)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (18559)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.40 % (18548)First to succeed.
% 0.15/0.41 % (18558)Instruction limit reached!
% 0.15/0.41 % (18558)------------------------------
% 0.15/0.41 % (18558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (18558)Termination reason: Unknown
% 0.15/0.41 % (18558)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (18558)Memory used [KB]: 5500
% 0.15/0.41 % (18558)Time elapsed: 0.004 s
% 0.15/0.41 % (18558)Instructions burned: 3 (million)
% 0.15/0.41 % (18558)------------------------------
% 0.15/0.41 % (18558)------------------------------
% 0.15/0.41 % (18560)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.41 % (18548)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% 0.15/0.41 thf(func_def_0, type, cQ: $i > $o).
% 0.15/0.41 thf(func_def_1, type, cP: $i > $o).
% 0.15/0.41 thf(func_def_6, type, sK1: $i > $i).
% 0.15/0.41 thf(func_def_14, type, sK9: $i > $i).
% 0.15/0.41 thf(func_def_18, type, sK13: $i > $i).
% 0.15/0.41 thf(func_def_26, type, sK21: $i > $i).
% 0.15/0.41 thf(f528,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(avatar_sat_refutation,[],[f101,f113,f121,f140,f141,f156,f172,f173,f180,f197,f206,f216,f224,f235,f240,f250,f262,f266,f273,f276,f288,f298,f308,f310,f324,f326,f332,f338,f350,f353,f356,f363,f367,f371,f392,f406,f414,f433,f462,f485,f495,f497,f503,f516,f520,f524,f527])).
% 0.15/0.41 thf(f527,plain,(
% 0.15/0.41 ~spl25_1 | ~spl25_15),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f526])).
% 0.15/0.41 thf(f526,plain,(
% 0.15/0.41 $false | (~spl25_1 | ~spl25_15)),
% 0.15/0.41 inference(subsumption_resolution,[],[f525,f147])).
% 0.15/0.41 thf(f147,plain,(
% 0.15/0.41 ( ! [X2 : $i] : (((cQ @ X2) != $true)) ) | ~spl25_15),
% 0.15/0.41 inference(avatar_component_clause,[],[f146])).
% 0.15/0.41 thf(f146,plain,(
% 0.15/0.41 spl25_15 <=> ! [X2] : ((cQ @ X2) != $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_15])])).
% 0.15/0.41 thf(f525,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ X0) = $true)) ) | (~spl25_1 | ~spl25_15)),
% 0.15/0.41 inference(subsumption_resolution,[],[f89,f147])).
% 0.15/0.41 thf(f89,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (($true = (cQ @ (sK13 @ X0))) | ((cQ @ X0) = $true)) ) | ~spl25_1),
% 0.15/0.41 inference(avatar_component_clause,[],[f88])).
% 0.15/0.41 thf(f88,plain,(
% 0.15/0.41 spl25_1 <=> ! [X0] : (((cQ @ X0) = $true) | ($true = (cQ @ (sK13 @ X0))))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_1])])).
% 0.15/0.41 thf(f524,plain,(
% 0.15/0.41 ~spl25_15 | ~spl25_29),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f523])).
% 0.15/0.41 thf(f523,plain,(
% 0.15/0.41 $false | (~spl25_15 | ~spl25_29)),
% 0.15/0.41 inference(subsumption_resolution,[],[f211,f147])).
% 0.15/0.41 thf(f211,plain,(
% 0.15/0.41 ((cQ @ sK12) = $true) | ~spl25_29),
% 0.15/0.41 inference(avatar_component_clause,[],[f209])).
% 0.15/0.41 thf(f209,plain,(
% 0.15/0.41 spl25_29 <=> ((cQ @ sK12) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_29])])).
% 0.15/0.41 thf(f520,plain,(
% 0.15/0.41 ~spl25_4 | ~spl25_31),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f519])).
% 0.15/0.41 thf(f519,plain,(
% 0.15/0.41 $false | (~spl25_4 | ~spl25_31)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f507])).
% 0.15/0.41 thf(f507,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_4 | ~spl25_31)),
% 0.15/0.41 inference(superposition,[],[f219,f100])).
% 0.15/0.41 thf(f100,plain,(
% 0.15/0.41 ($true = (cP @ sK15)) | ~spl25_4),
% 0.15/0.41 inference(avatar_component_clause,[],[f98])).
% 0.15/0.41 thf(f98,plain,(
% 0.15/0.41 spl25_4 <=> ($true = (cP @ sK15))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_4])])).
% 0.15/0.41 thf(f219,plain,(
% 0.15/0.41 ( ! [X19 : $i] : (((cP @ X19) = $false)) ) | ~spl25_31),
% 0.15/0.41 inference(avatar_component_clause,[],[f218])).
% 0.15/0.41 thf(f218,plain,(
% 0.15/0.41 spl25_31 <=> ! [X19] : ((cP @ X19) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_31])])).
% 0.15/0.41 thf(f516,plain,(
% 0.15/0.41 ~spl25_31 | spl25_35),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f515])).
% 0.15/0.41 thf(f515,plain,(
% 0.15/0.41 $false | (~spl25_31 | spl25_35)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f509])).
% 0.15/0.41 thf(f509,plain,(
% 0.15/0.41 ($false != $false) | (~spl25_31 | spl25_35)),
% 0.15/0.41 inference(superposition,[],[f238,f219])).
% 0.15/0.41 thf(f238,plain,(
% 0.15/0.41 ((cP @ sK4) != $false) | spl25_35),
% 0.15/0.41 inference(avatar_component_clause,[],[f237])).
% 0.15/0.41 thf(f237,plain,(
% 0.15/0.41 spl25_35 <=> ((cP @ sK4) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_35])])).
% 0.15/0.41 thf(f503,plain,(
% 0.15/0.41 ~spl25_9 | ~spl25_37),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f502])).
% 0.15/0.41 thf(f502,plain,(
% 0.15/0.41 $false | (~spl25_9 | ~spl25_37)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f498])).
% 0.15/0.41 thf(f498,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_9 | ~spl25_37)),
% 0.15/0.41 inference(superposition,[],[f248,f120])).
% 0.15/0.41 thf(f120,plain,(
% 0.15/0.41 ( ! [X7 : $i] : (((cQ @ X7) = $false)) ) | ~spl25_9),
% 0.15/0.41 inference(avatar_component_clause,[],[f119])).
% 0.15/0.41 thf(f119,plain,(
% 0.15/0.41 spl25_9 <=> ! [X7] : ((cQ @ X7) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_9])])).
% 0.15/0.41 thf(f248,plain,(
% 0.15/0.41 ((cQ @ sK7) = $true) | ~spl25_37),
% 0.15/0.41 inference(avatar_component_clause,[],[f246])).
% 0.15/0.41 thf(f246,plain,(
% 0.15/0.41 spl25_37 <=> ((cQ @ sK7) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_37])])).
% 0.15/0.41 thf(f497,plain,(
% 0.15/0.41 ~spl25_25 | spl25_36),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f496])).
% 0.15/0.41 thf(f496,plain,(
% 0.15/0.41 $false | (~spl25_25 | spl25_36)),
% 0.15/0.41 inference(subsumption_resolution,[],[f244,f193])).
% 0.15/0.41 thf(f193,plain,(
% 0.15/0.41 ( ! [X12 : $i] : (((cP @ X12) = $true)) ) | ~spl25_25),
% 0.15/0.41 inference(avatar_component_clause,[],[f192])).
% 0.15/0.41 thf(f192,plain,(
% 0.15/0.41 spl25_25 <=> ! [X12] : ((cP @ X12) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_25])])).
% 0.15/0.41 thf(f244,plain,(
% 0.15/0.41 ((cP @ sK8) != $true) | spl25_36),
% 0.15/0.41 inference(avatar_component_clause,[],[f242])).
% 0.15/0.41 thf(f242,plain,(
% 0.15/0.41 spl25_36 <=> ((cP @ sK8) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_36])])).
% 0.15/0.41 thf(f495,plain,(
% 0.15/0.41 spl25_31 | ~spl25_25 | ~spl25_27),
% 0.15/0.41 inference(avatar_split_clause,[],[f490,f199,f192,f218])).
% 0.15/0.41 thf(f199,plain,(
% 0.15/0.41 spl25_27 <=> ! [X16] : (($false = (cP @ (sK9 @ X16))) | ((cP @ X16) = $false))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_27])])).
% 0.15/0.41 thf(f490,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $false)) ) | (~spl25_25 | ~spl25_27)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f487])).
% 0.15/0.41 thf(f487,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $false) | ($true = $false)) ) | (~spl25_25 | ~spl25_27)),
% 0.15/0.41 inference(superposition,[],[f200,f193])).
% 0.15/0.41 thf(f200,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($false = (cP @ (sK9 @ X16))) | ((cP @ X16) = $false)) ) | ~spl25_27),
% 0.15/0.41 inference(avatar_component_clause,[],[f199])).
% 0.15/0.41 thf(f485,plain,(
% 0.15/0.41 spl25_3 | ~spl25_1 | ~spl25_9),
% 0.15/0.41 inference(avatar_split_clause,[],[f482,f119,f88,f95])).
% 0.15/0.41 thf(f95,plain,(
% 0.15/0.41 spl25_3 <=> ! [X4] : ((cQ @ X4) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_3])])).
% 0.15/0.41 thf(f482,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ X0) = $true)) ) | (~spl25_1 | ~spl25_9)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f480])).
% 0.15/0.41 thf(f480,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ X0) = $true) | ($true = $false)) ) | (~spl25_1 | ~spl25_9)),
% 0.15/0.41 inference(superposition,[],[f89,f120])).
% 0.15/0.41 thf(f462,plain,(
% 0.15/0.41 ~spl25_30 | ~spl25_32),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f461])).
% 0.15/0.41 thf(f461,plain,(
% 0.15/0.41 $false | (~spl25_30 | ~spl25_32)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f457])).
% 0.15/0.41 thf(f457,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_30 | ~spl25_32)),
% 0.15/0.41 inference(superposition,[],[f223,f215])).
% 0.15/0.41 thf(f215,plain,(
% 0.15/0.41 ((cP @ sK10) = $false) | ~spl25_30),
% 0.15/0.41 inference(avatar_component_clause,[],[f213])).
% 0.15/0.41 thf(f213,plain,(
% 0.15/0.41 spl25_30 <=> ((cP @ sK10) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_30])])).
% 0.15/0.41 thf(f223,plain,(
% 0.15/0.41 ((cP @ sK10) = $true) | ~spl25_32),
% 0.15/0.41 inference(avatar_component_clause,[],[f221])).
% 0.15/0.41 thf(f221,plain,(
% 0.15/0.41 spl25_32 <=> ((cP @ sK10) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_32])])).
% 0.15/0.41 thf(f433,plain,(
% 0.15/0.41 ~spl25_9 | ~spl25_29),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f432])).
% 0.15/0.41 thf(f432,plain,(
% 0.15/0.41 $false | (~spl25_9 | ~spl25_29)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f417])).
% 0.15/0.41 thf(f417,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_9 | ~spl25_29)),
% 0.15/0.41 inference(superposition,[],[f120,f211])).
% 0.15/0.41 thf(f414,plain,(
% 0.15/0.41 ~spl25_6 | ~spl25_8),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f413])).
% 0.15/0.41 thf(f413,plain,(
% 0.15/0.41 $false | (~spl25_6 | ~spl25_8)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f410])).
% 0.15/0.41 thf(f410,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_6 | ~spl25_8)),
% 0.15/0.41 inference(superposition,[],[f109,f117])).
% 0.15/0.41 thf(f117,plain,(
% 0.15/0.41 ($true = (cQ @ sK16)) | ~spl25_8),
% 0.15/0.41 inference(avatar_component_clause,[],[f115])).
% 0.15/0.41 thf(f115,plain,(
% 0.15/0.41 spl25_8 <=> ($true = (cQ @ sK16))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_8])])).
% 0.15/0.41 thf(f109,plain,(
% 0.15/0.41 ($false = (cQ @ sK16)) | ~spl25_6),
% 0.15/0.41 inference(avatar_component_clause,[],[f107])).
% 0.15/0.41 thf(f107,plain,(
% 0.15/0.41 spl25_6 <=> ($false = (cQ @ sK16))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_6])])).
% 0.15/0.41 thf(f406,plain,(
% 0.15/0.41 ~spl25_7 | ~spl25_26),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f405])).
% 0.15/0.41 thf(f405,plain,(
% 0.15/0.41 $false | (~spl25_7 | ~spl25_26)),
% 0.15/0.41 inference(subsumption_resolution,[],[f398,f112])).
% 0.15/0.41 thf(f112,plain,(
% 0.15/0.41 ( ! [X11 : $i] : (((cP @ X11) != $true)) ) | ~spl25_7),
% 0.15/0.41 inference(avatar_component_clause,[],[f111])).
% 0.15/0.41 thf(f111,plain,(
% 0.15/0.41 spl25_7 <=> ! [X11] : ((cP @ X11) != $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_7])])).
% 0.15/0.41 thf(f398,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $true)) ) | (~spl25_7 | ~spl25_26)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f396])).
% 0.15/0.41 thf(f396,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (($true != $true) | ((cP @ X0) = $true)) ) | (~spl25_7 | ~spl25_26)),
% 0.15/0.41 inference(superposition,[],[f112,f196])).
% 0.15/0.41 thf(f196,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($true = (cP @ (sK9 @ X16))) | ((cP @ X16) = $true)) ) | ~spl25_26),
% 0.15/0.41 inference(avatar_component_clause,[],[f195])).
% 0.15/0.41 thf(f195,plain,(
% 0.15/0.41 spl25_26 <=> ! [X16] : (((cP @ X16) = $true) | ($true = (cP @ (sK9 @ X16))))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_26])])).
% 0.15/0.41 thf(f392,plain,(
% 0.15/0.41 spl25_9 | ~spl25_3 | ~spl25_5),
% 0.15/0.41 inference(avatar_split_clause,[],[f389,f103,f95,f119])).
% 0.15/0.41 thf(f103,plain,(
% 0.15/0.41 spl25_5 <=> ! [X0] : (((cQ @ X0) = $false) | ((cQ @ (sK13 @ X0)) = $false))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_5])])).
% 0.15/0.41 thf(f389,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ X0) = $false)) ) | (~spl25_3 | ~spl25_5)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f388])).
% 0.15/0.41 thf(f388,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ X0) = $false) | ($true = $false)) ) | (~spl25_3 | ~spl25_5)),
% 0.15/0.41 inference(superposition,[],[f96,f104])).
% 0.15/0.41 thf(f104,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ (sK13 @ X0)) = $false) | ((cQ @ X0) = $false)) ) | ~spl25_5),
% 0.15/0.41 inference(avatar_component_clause,[],[f103])).
% 0.15/0.41 thf(f96,plain,(
% 0.15/0.41 ( ! [X4 : $i] : (((cQ @ X4) = $true)) ) | ~spl25_3),
% 0.15/0.41 inference(avatar_component_clause,[],[f95])).
% 0.15/0.41 thf(f371,plain,(
% 0.15/0.41 ~spl25_3 | spl25_22),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f370])).
% 0.15/0.41 thf(f370,plain,(
% 0.15/0.41 $false | (~spl25_3 | spl25_22)),
% 0.15/0.41 inference(subsumption_resolution,[],[f178,f96])).
% 0.15/0.41 thf(f178,plain,(
% 0.15/0.41 ((cQ @ sK14) != $true) | spl25_22),
% 0.15/0.41 inference(avatar_component_clause,[],[f176])).
% 0.15/0.41 thf(f176,plain,(
% 0.15/0.41 spl25_22 <=> ((cQ @ sK14) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_22])])).
% 0.15/0.41 thf(f367,plain,(
% 0.15/0.41 ~spl25_7 | ~spl25_25),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f366])).
% 0.15/0.41 thf(f366,plain,(
% 0.15/0.41 $false | (~spl25_7 | ~spl25_25)),
% 0.15/0.41 inference(subsumption_resolution,[],[f193,f112])).
% 0.15/0.41 thf(f363,plain,(
% 0.15/0.41 ~spl25_9 | ~spl25_28),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f362])).
% 0.15/0.41 thf(f362,plain,(
% 0.15/0.41 $false | (~spl25_9 | ~spl25_28)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f358])).
% 0.15/0.41 thf(f358,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_9 | ~spl25_28)),
% 0.15/0.41 inference(superposition,[],[f205,f120])).
% 0.15/0.41 thf(f205,plain,(
% 0.15/0.41 ($true = (cQ @ sK3)) | ~spl25_28),
% 0.15/0.41 inference(avatar_component_clause,[],[f203])).
% 0.15/0.41 thf(f203,plain,(
% 0.15/0.41 spl25_28 <=> ($true = (cQ @ sK3))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_28])])).
% 0.15/0.41 thf(f356,plain,(
% 0.15/0.41 ~spl25_7 | ~spl25_13),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f355])).
% 0.15/0.41 thf(f355,plain,(
% 0.15/0.41 $false | (~spl25_7 | ~spl25_13)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f354])).
% 0.15/0.41 thf(f354,plain,(
% 0.15/0.41 ($true != $true) | (~spl25_7 | ~spl25_13)),
% 0.15/0.41 inference(superposition,[],[f112,f139])).
% 0.15/0.41 thf(f139,plain,(
% 0.15/0.41 ($true = (cP @ sK24)) | ~spl25_13),
% 0.15/0.41 inference(avatar_component_clause,[],[f137])).
% 0.15/0.41 thf(f137,plain,(
% 0.15/0.41 spl25_13 <=> ($true = (cP @ sK24))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_13])])).
% 0.15/0.41 thf(f353,plain,(
% 0.15/0.41 spl25_25 | ~spl25_14 | ~spl25_31),
% 0.15/0.41 inference(avatar_split_clause,[],[f348,f218,f143,f192])).
% 0.15/0.41 thf(f143,plain,(
% 0.15/0.41 spl25_14 <=> ! [X0] : (($true = (cP @ (sK1 @ X0))) | ((cP @ X0) = $true))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_14])])).
% 0.15/0.41 thf(f348,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $true)) ) | (~spl25_14 | ~spl25_31)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f340])).
% 0.15/0.41 thf(f340,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $true) | ($true = $false)) ) | (~spl25_14 | ~spl25_31)),
% 0.15/0.41 inference(superposition,[],[f219,f144])).
% 0.15/0.41 thf(f144,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (($true = (cP @ (sK1 @ X0))) | ((cP @ X0) = $true)) ) | ~spl25_14),
% 0.15/0.41 inference(avatar_component_clause,[],[f143])).
% 0.15/0.41 thf(f350,plain,(
% 0.15/0.41 ~spl25_13 | ~spl25_31),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f349])).
% 0.15/0.41 thf(f349,plain,(
% 0.15/0.41 $false | (~spl25_13 | ~spl25_31)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f341])).
% 0.15/0.41 thf(f341,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_13 | ~spl25_31)),
% 0.15/0.41 inference(superposition,[],[f219,f139])).
% 0.15/0.41 thf(f338,plain,(
% 0.15/0.41 ~spl25_11 | ~spl25_12),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f337])).
% 0.15/0.41 thf(f337,plain,(
% 0.15/0.41 $false | (~spl25_11 | ~spl25_12)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f334])).
% 0.15/0.41 thf(f334,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_11 | ~spl25_12)),
% 0.15/0.41 inference(superposition,[],[f129,f134])).
% 0.15/0.41 thf(f134,plain,(
% 0.15/0.41 ((cQ @ sK22) = $true) | ~spl25_12),
% 0.15/0.41 inference(avatar_component_clause,[],[f132])).
% 0.15/0.41 thf(f132,plain,(
% 0.15/0.41 spl25_12 <=> ((cQ @ sK22) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_12])])).
% 0.15/0.41 thf(f129,plain,(
% 0.15/0.41 ((cQ @ sK22) = $false) | ~spl25_11),
% 0.15/0.41 inference(avatar_component_clause,[],[f127])).
% 0.15/0.41 thf(f127,plain,(
% 0.15/0.41 spl25_11 <=> ((cQ @ sK22) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_11])])).
% 0.15/0.41 thf(f332,plain,(
% 0.15/0.41 ~spl25_34 | ~spl25_35),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f331])).
% 0.15/0.41 thf(f331,plain,(
% 0.15/0.41 $false | (~spl25_34 | ~spl25_35)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f327])).
% 0.15/0.41 thf(f327,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_34 | ~spl25_35)),
% 0.15/0.41 inference(superposition,[],[f239,f234])).
% 0.15/0.41 thf(f234,plain,(
% 0.15/0.41 ($true = (cP @ sK4)) | ~spl25_34),
% 0.15/0.41 inference(avatar_component_clause,[],[f232])).
% 0.15/0.41 thf(f232,plain,(
% 0.15/0.41 spl25_34 <=> ($true = (cP @ sK4))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_34])])).
% 0.15/0.41 thf(f239,plain,(
% 0.15/0.41 ((cP @ sK4) = $false) | ~spl25_35),
% 0.15/0.41 inference(avatar_component_clause,[],[f237])).
% 0.15/0.41 thf(f326,plain,(
% 0.15/0.41 ~spl25_18 | ~spl25_31),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f325])).
% 0.15/0.41 thf(f325,plain,(
% 0.15/0.41 $false | (~spl25_18 | ~spl25_31)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f312])).
% 0.15/0.41 thf(f312,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_18 | ~spl25_31)),
% 0.15/0.41 inference(superposition,[],[f219,f160])).
% 0.15/0.41 thf(f160,plain,(
% 0.15/0.41 ($true = (cP @ sK19)) | ~spl25_18),
% 0.15/0.41 inference(avatar_component_clause,[],[f158])).
% 0.15/0.41 thf(f158,plain,(
% 0.15/0.41 spl25_18 <=> ($true = (cP @ sK19))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_18])])).
% 0.15/0.41 thf(f324,plain,(
% 0.15/0.41 ~spl25_25 | ~spl25_31),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f323])).
% 0.15/0.41 thf(f323,plain,(
% 0.15/0.41 $false | (~spl25_25 | ~spl25_31)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f314])).
% 0.15/0.41 thf(f314,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_25 | ~spl25_31)),
% 0.15/0.41 inference(superposition,[],[f193,f219])).
% 0.15/0.41 thf(f310,plain,(
% 0.15/0.41 spl25_16 | ~spl25_25),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f309])).
% 0.15/0.41 thf(f309,plain,(
% 0.15/0.41 $false | (spl25_16 | ~spl25_25)),
% 0.15/0.41 inference(subsumption_resolution,[],[f151,f193])).
% 0.15/0.41 thf(f151,plain,(
% 0.15/0.41 ($true != (cP @ sK2)) | spl25_16),
% 0.15/0.41 inference(avatar_component_clause,[],[f149])).
% 0.15/0.41 thf(f149,plain,(
% 0.15/0.41 spl25_16 <=> ($true = (cP @ sK2))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_16])])).
% 0.15/0.41 thf(f308,plain,(
% 0.15/0.41 spl25_31 | ~spl25_17 | ~spl25_25),
% 0.15/0.41 inference(avatar_split_clause,[],[f305,f192,f154,f218])).
% 0.15/0.41 thf(f154,plain,(
% 0.15/0.41 spl25_17 <=> ! [X0] : (((cP @ X0) = $false) | ((cP @ (sK1 @ X0)) = $false))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_17])])).
% 0.15/0.41 thf(f305,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $false)) ) | (~spl25_17 | ~spl25_25)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f302])).
% 0.15/0.41 thf(f302,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (($true = $false) | ((cP @ X0) = $false)) ) | (~spl25_17 | ~spl25_25)),
% 0.15/0.41 inference(superposition,[],[f193,f155])).
% 0.15/0.41 thf(f155,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ (sK1 @ X0)) = $false) | ((cP @ X0) = $false)) ) | ~spl25_17),
% 0.15/0.41 inference(avatar_component_clause,[],[f154])).
% 0.15/0.41 thf(f298,plain,(
% 0.15/0.41 spl25_9 | ~spl25_3 | ~spl25_21),
% 0.15/0.41 inference(avatar_split_clause,[],[f295,f170,f95,f119])).
% 0.15/0.41 thf(f170,plain,(
% 0.15/0.41 spl25_21 <=> ! [X16] : (($false = (cQ @ X16)) | ($false = (cQ @ (sK21 @ X16))))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_21])])).
% 0.15/0.41 thf(f295,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cQ @ X0) = $false)) ) | (~spl25_3 | ~spl25_21)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f294])).
% 0.15/0.41 thf(f294,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (($true = $false) | ((cQ @ X0) = $false)) ) | (~spl25_3 | ~spl25_21)),
% 0.15/0.41 inference(superposition,[],[f96,f171])).
% 0.15/0.41 thf(f171,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($false = (cQ @ (sK21 @ X16))) | ($false = (cQ @ X16))) ) | ~spl25_21),
% 0.15/0.41 inference(avatar_component_clause,[],[f170])).
% 0.15/0.41 thf(f288,plain,(
% 0.15/0.41 ~spl25_3 | ~spl25_9),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f287])).
% 0.15/0.41 thf(f287,plain,(
% 0.15/0.41 $false | (~spl25_3 | ~spl25_9)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f279])).
% 0.15/0.41 thf(f279,plain,(
% 0.15/0.41 ($true = $false) | (~spl25_3 | ~spl25_9)),
% 0.15/0.41 inference(superposition,[],[f120,f96])).
% 0.15/0.41 thf(f276,plain,(
% 0.15/0.41 ~spl25_15 | ~spl25_19),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f275])).
% 0.15/0.41 thf(f275,plain,(
% 0.15/0.41 $false | (~spl25_15 | ~spl25_19)),
% 0.15/0.41 inference(subsumption_resolution,[],[f274,f147])).
% 0.15/0.41 thf(f274,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($true = (cQ @ X16))) ) | (~spl25_15 | ~spl25_19)),
% 0.15/0.41 inference(subsumption_resolution,[],[f163,f147])).
% 0.15/0.41 thf(f163,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($true = (cQ @ (sK21 @ X16))) | ($true = (cQ @ X16))) ) | ~spl25_19),
% 0.15/0.41 inference(avatar_component_clause,[],[f162])).
% 0.15/0.41 thf(f162,plain,(
% 0.15/0.41 spl25_19 <=> ! [X16] : (($true = (cQ @ X16)) | ($true = (cQ @ (sK21 @ X16))))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_19])])).
% 0.15/0.41 thf(f273,plain,(
% 0.15/0.41 ~spl25_7 | ~spl25_14),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f272])).
% 0.15/0.41 thf(f272,plain,(
% 0.15/0.41 $false | (~spl25_7 | ~spl25_14)),
% 0.15/0.41 inference(subsumption_resolution,[],[f271,f112])).
% 0.15/0.41 thf(f271,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $true)) ) | (~spl25_7 | ~spl25_14)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f270])).
% 0.15/0.41 thf(f270,plain,(
% 0.15/0.41 ( ! [X0 : $i] : (((cP @ X0) = $true) | ($true != $true)) ) | (~spl25_7 | ~spl25_14)),
% 0.15/0.41 inference(superposition,[],[f112,f144])).
% 0.15/0.41 thf(f266,plain,(
% 0.15/0.41 ~spl25_3 | ~spl25_15),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f265])).
% 0.15/0.41 thf(f265,plain,(
% 0.15/0.41 $false | (~spl25_3 | ~spl25_15)),
% 0.15/0.41 inference(subsumption_resolution,[],[f147,f96])).
% 0.15/0.41 thf(f262,plain,(
% 0.15/0.41 ~spl25_3 | spl25_20),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f261])).
% 0.15/0.41 thf(f261,plain,(
% 0.15/0.41 $false | (~spl25_3 | spl25_20)),
% 0.15/0.41 inference(subsumption_resolution,[],[f167,f96])).
% 0.15/0.41 thf(f167,plain,(
% 0.15/0.41 ((cQ @ sK20) != $true) | spl25_20),
% 0.15/0.41 inference(avatar_component_clause,[],[f165])).
% 0.15/0.41 thf(f165,plain,(
% 0.15/0.41 spl25_20 <=> ((cQ @ sK20) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_20])])).
% 0.15/0.41 thf(f250,plain,(
% 0.15/0.41 ~spl25_2 | spl25_37 | spl25_27 | ~spl25_36),
% 0.15/0.41 inference(avatar_split_clause,[],[f58,f242,f199,f246,f91])).
% 0.15/0.41 thf(f91,plain,(
% 0.15/0.41 spl25_2 <=> (sP0 = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl25_2])])).
% 0.15/0.41 thf(f58,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($false = (cP @ (sK9 @ X16))) | ((cP @ X16) = $false) | (sP0 != $true) | ((cP @ sK8) != $true) | ((cQ @ sK7) = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f41])).
% 0.15/0.41 thf(f41,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (((cP @ sK8) != $true) | (sP0 != $true) | ((cQ @ sK7) = $true) | ((cP @ X16) != (cP @ (sK9 @ X16)))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f23])).
% 0.15/0.41 thf(f23,plain,(
% 0.15/0.41 ((sP0 = $true) | ((! [X0] : ((cP @ X0) != (cP @ (sK1 @ X0))) | ((! [X2] : ((cQ @ X2) != $true) | ($true != (cP @ sK2))) & (($true = (cQ @ sK3)) | ! [X5] : ($true = (cP @ X5))))) & (! [X7] : ((cP @ sK4) = (cP @ X7)) | ((! [X8] : ((cP @ X8) = $true) | ! [X9] : ($true != (cQ @ X9))) & (($true = (cQ @ sK5)) | ($true != (cP @ sK6))))))) & (((((! [X12] : ((cP @ X12) = $true) | ! [X13] : ((cQ @ X13) != $true)) & (((cQ @ sK7) = $true) | ((cP @ sK8) != $true))) | ! [X16] : ((cP @ X16) != (cP @ (sK9 @ X16)))) & (! [X19] : ((cP @ X19) = (cP @ sK10)) | ((! [X20] : ((cQ @ X20) != $true) | ($true != (cP @ sK11))) & (((cQ @ sK12) = $true) | ! [X23] : ((cP @ X23) = $true))))) | (sP0 != $true))),
% 0.15/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f10,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11])).
% 0.15/0.41 thf(f11,plain,(
% 0.15/0.41 ! [X0] : (? [X1] : ((cP @ X0) != (cP @ X1)) => ((cP @ X0) != (cP @ (sK1 @ X0))))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f12,plain,(
% 0.15/0.41 ? [X3] : ($true != (cP @ X3)) => ($true != (cP @ sK2))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f13,plain,(
% 0.15/0.41 ? [X4] : ((cQ @ X4) = $true) => ($true = (cQ @ sK3))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f14,plain,(
% 0.15/0.41 ? [X6] : ! [X7] : ((cP @ X6) = (cP @ X7)) => ! [X7] : ((cP @ sK4) = (cP @ X7))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f15,plain,(
% 0.15/0.41 ? [X10] : ($true = (cQ @ X10)) => ($true = (cQ @ sK5))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f16,plain,(
% 0.15/0.41 ? [X11] : ((cP @ X11) != $true) => ($true != (cP @ sK6))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f17,plain,(
% 0.15/0.41 ? [X14] : ($true = (cQ @ X14)) => ((cQ @ sK7) = $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f18,plain,(
% 0.15/0.41 ? [X15] : ($true != (cP @ X15)) => ((cP @ sK8) != $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f19,plain,(
% 0.15/0.41 ! [X16] : (? [X17] : ((cP @ X17) != (cP @ X16)) => ((cP @ X16) != (cP @ (sK9 @ X16))))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f20,plain,(
% 0.15/0.41 ? [X18] : ! [X19] : ((cP @ X18) = (cP @ X19)) => ! [X19] : ((cP @ X19) = (cP @ sK10))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f21,plain,(
% 0.15/0.41 ? [X21] : ((cP @ X21) != $true) => ($true != (cP @ sK11))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f22,plain,(
% 0.15/0.41 ? [X22] : ((cQ @ X22) = $true) => ((cQ @ sK12) = $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f10,plain,(
% 0.15/0.41 ((sP0 = $true) | ((! [X0] : ? [X1] : ((cP @ X0) != (cP @ X1)) | ((! [X2] : ((cQ @ X2) != $true) | ? [X3] : ($true != (cP @ X3))) & (? [X4] : ((cQ @ X4) = $true) | ! [X5] : ($true = (cP @ X5))))) & (? [X6] : ! [X7] : ((cP @ X6) = (cP @ X7)) | ((! [X8] : ((cP @ X8) = $true) | ! [X9] : ($true != (cQ @ X9))) & (? [X10] : ($true = (cQ @ X10)) | ? [X11] : ((cP @ X11) != $true)))))) & (((((! [X12] : ((cP @ X12) = $true) | ! [X13] : ((cQ @ X13) != $true)) & (? [X14] : ($true = (cQ @ X14)) | ? [X15] : ($true != (cP @ X15)))) | ! [X16] : ? [X17] : ((cP @ X17) != (cP @ X16))) & (? [X18] : ! [X19] : ((cP @ X18) = (cP @ X19)) | ((! [X20] : ((cQ @ X20) != $true) | ? [X21] : ((cP @ X21) != $true)) & (? [X22] : ((cQ @ X22) = $true) | ! [X23] : ((cP @ X23) = $true))))) | (sP0 != $true))),
% 0.15/0.41 inference(rectify,[],[f9])).
% 0.15/0.41 thf(f9,plain,(
% 0.15/0.41 ((sP0 = $true) | ((! [X0] : ? [X1] : ((cP @ X0) != (cP @ X1)) | ((! [X3] : ((cQ @ X3) != $true) | ? [X2] : ((cP @ X2) != $true)) & (? [X3] : ((cQ @ X3) = $true) | ! [X2] : ((cP @ X2) = $true)))) & (? [X0] : ! [X1] : ((cP @ X0) = (cP @ X1)) | ((! [X2] : ((cP @ X2) = $true) | ! [X3] : ((cQ @ X3) != $true)) & (? [X3] : ((cQ @ X3) = $true) | ? [X2] : ((cP @ X2) != $true)))))) & (((((! [X2] : ((cP @ X2) = $true) | ! [X3] : ((cQ @ X3) != $true)) & (? [X3] : ((cQ @ X3) = $true) | ? [X2] : ((cP @ X2) != $true))) | ! [X0] : ? [X1] : ((cP @ X0) != (cP @ X1))) & (? [X0] : ! [X1] : ((cP @ X0) = (cP @ X1)) | ((! [X3] : ((cQ @ X3) != $true) | ? [X2] : ((cP @ X2) != $true)) & (? [X3] : ((cQ @ X3) = $true) | ! [X2] : ((cP @ X2) = $true))))) | (sP0 != $true))),
% 0.15/0.41 inference(nnf_transformation,[],[f7])).
% 0.15/0.41 thf(f7,plain,(
% 0.15/0.41 (sP0 = $true) <=> ((! [X2] : ((cP @ X2) = $true) <=> ? [X3] : ((cQ @ X3) = $true)) <=> ? [X0] : ! [X1] : ((cP @ X0) = (cP @ X1)))),
% 0.15/0.41 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.15/0.41 thf(f240,plain,(
% 0.15/0.41 spl25_35 | spl25_2 | spl25_25 | spl25_25 | spl25_15),
% 0.15/0.41 inference(avatar_split_clause,[],[f60,f146,f192,f192,f91,f237])).
% 0.15/0.41 thf(f60,plain,(
% 0.15/0.41 ( ! [X8 : $i,X9 : $i,X7 : $i] : (($true = (cP @ X7)) | ((cP @ X8) = $true) | ($true != (cQ @ X9)) | ((cP @ sK4) = $false) | (sP0 = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f44])).
% 0.15/0.41 thf(f44,plain,(
% 0.15/0.41 ( ! [X8 : $i,X9 : $i,X7 : $i] : (((cP @ X8) = $true) | (sP0 = $true) | ($true != (cQ @ X9)) | ((cP @ sK4) = (cP @ X7))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f23])).
% 0.15/0.41 thf(f235,plain,(
% 0.15/0.41 spl25_2 | spl25_15 | spl25_25 | spl25_34 | spl25_31),
% 0.15/0.41 inference(avatar_split_clause,[],[f59,f218,f232,f192,f146,f91])).
% 0.15/0.41 thf(f59,plain,(
% 0.15/0.41 ( ! [X8 : $i,X9 : $i,X7 : $i] : ((sP0 = $true) | ($true != (cQ @ X9)) | ($false = (cP @ X7)) | ((cP @ X8) = $true) | ($true = (cP @ sK4))) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f44])).
% 0.15/0.41 thf(f224,plain,(
% 0.15/0.41 spl25_31 | spl25_32 | ~spl25_2 | spl25_25 | spl25_29),
% 0.15/0.41 inference(avatar_split_clause,[],[f64,f209,f192,f91,f221,f218])).
% 0.15/0.41 thf(f64,plain,(
% 0.15/0.41 ( ! [X19 : $i,X23 : $i] : ((sP0 != $true) | ((cP @ X19) = $false) | ((cP @ X23) = $true) | ((cQ @ sK12) = $true) | ((cP @ sK10) = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f39])).
% 0.15/0.41 thf(f39,plain,(
% 0.15/0.41 ( ! [X19 : $i,X23 : $i] : (((cQ @ sK12) = $true) | (sP0 != $true) | ((cP @ X19) = (cP @ sK10)) | ((cP @ X23) = $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f23])).
% 0.15/0.41 thf(f216,plain,(
% 0.15/0.41 spl25_29 | spl25_30 | ~spl25_2 | spl25_25 | spl25_25),
% 0.15/0.41 inference(avatar_split_clause,[],[f63,f192,f192,f91,f213,f209])).
% 0.15/0.41 thf(f63,plain,(
% 0.15/0.41 ( ! [X19 : $i,X23 : $i] : (((cQ @ sK12) = $true) | ((cP @ X19) = $true) | (sP0 != $true) | ((cP @ sK10) = $false) | ((cP @ X23) = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f39])).
% 0.15/0.41 thf(f206,plain,(
% 0.15/0.41 spl25_14 | spl25_2 | spl25_28 | spl25_25),
% 0.15/0.41 inference(avatar_split_clause,[],[f65,f192,f203,f91,f143])).
% 0.15/0.41 thf(f65,plain,(
% 0.15/0.41 ( ! [X0 : $i,X5 : $i] : (($true = (cP @ (sK1 @ X0))) | (sP0 = $true) | ((cP @ X0) = $true) | ($true = (cP @ X5)) | ($true = (cQ @ sK3))) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f45])).
% 0.15/0.41 thf(f45,plain,(
% 0.15/0.41 ( ! [X0 : $i,X5 : $i] : (((cP @ X0) != (cP @ (sK1 @ X0))) | (sP0 = $true) | ($true = (cP @ X5)) | ($true = (cQ @ sK3))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f23])).
% 0.15/0.41 thf(f197,plain,(
% 0.15/0.41 spl25_25 | ~spl25_2 | spl25_26 | spl25_15),
% 0.15/0.41 inference(avatar_split_clause,[],[f67,f146,f195,f91,f192])).
% 0.15/0.41 thf(f67,plain,(
% 0.15/0.41 ( ! [X16 : $i,X12 : $i,X13 : $i] : (((cQ @ X13) != $true) | (sP0 != $true) | ((cP @ X16) = $true) | ($true = (cP @ (sK9 @ X16))) | ((cP @ X12) = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f42])).
% 0.15/0.41 thf(f42,plain,(
% 0.15/0.41 ( ! [X16 : $i,X12 : $i,X13 : $i] : (((cP @ X16) != (cP @ (sK9 @ X16))) | ((cP @ X12) = $true) | (sP0 != $true) | ((cQ @ X13) != $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f23])).
% 0.15/0.41 thf(f180,plain,(
% 0.15/0.41 spl25_7 | ~spl25_22 | spl25_5 | ~spl25_2),
% 0.15/0.41 inference(avatar_split_clause,[],[f72,f91,f103,f176,f111])).
% 0.15/0.41 thf(f72,plain,(
% 0.15/0.41 ( ! [X3 : $i,X0 : $i] : (((cQ @ (sK13 @ X0)) = $false) | ((cQ @ X0) = $false) | (sP0 != $true) | ((cQ @ sK14) != $true) | ($true != (cP @ X3))) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f54])).
% 0.15/0.41 thf(f54,plain,(
% 0.15/0.41 ( ! [X3 : $i,X0 : $i] : ((sP0 != $true) | ((cQ @ X0) != (cQ @ (sK13 @ X0))) | ((cQ @ sK14) != $true) | ($true != (cP @ X3))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f38])).
% 0.15/0.41 thf(f38,plain,(
% 0.15/0.41 (((! [X0] : ((cQ @ X0) != (cQ @ (sK13 @ X0))) | ((((cQ @ sK14) != $true) | ! [X3] : ($true != (cP @ X3))) & (! [X4] : ((cQ @ X4) = $true) | ($true = (cP @ sK15))))) & (! [X7] : ((cQ @ X7) = (cQ @ sK16)) | ((((cP @ sK17) = $true) | ((cQ @ sK18) != $true)) & (! [X10] : ($true = (cQ @ X10)) | ! [X11] : ((cP @ X11) != $true))))) | (sP0 != $true)) & (((((($true = (cP @ sK19)) | ((cQ @ sK20) != $true)) & (! [X14] : ($true = (cQ @ X14)) | ! [X15] : ($true != (cP @ X15)))) | ! [X16] : ((cQ @ (sK21 @ X16)) != (cQ @ X16))) & (! [X19] : ((cQ @ X19) = (cQ @ sK22)) | ((((cQ @ sK23) != $true) | ! [X21] : ((cP @ X21) != $true)) & (! [X22] : ((cQ @ X22) = $true) | ($true = (cP @ sK24)))))) | (sP0 = $true))),
% 0.15/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24])],[f25,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26])).
% 0.15/0.41 thf(f26,plain,(
% 0.15/0.41 ! [X0] : (? [X1] : ((cQ @ X0) != (cQ @ X1)) => ((cQ @ X0) != (cQ @ (sK13 @ X0))))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f27,plain,(
% 0.15/0.41 ? [X2] : ((cQ @ X2) != $true) => ((cQ @ sK14) != $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f28,plain,(
% 0.15/0.41 ? [X5] : ($true = (cP @ X5)) => ($true = (cP @ sK15))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f29,plain,(
% 0.15/0.41 ? [X6] : ! [X7] : ((cQ @ X6) = (cQ @ X7)) => ! [X7] : ((cQ @ X7) = (cQ @ sK16))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f30,plain,(
% 0.15/0.41 ? [X8] : ((cP @ X8) = $true) => ((cP @ sK17) = $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f31,plain,(
% 0.15/0.41 ? [X9] : ($true != (cQ @ X9)) => ((cQ @ sK18) != $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f32,plain,(
% 0.15/0.41 ? [X12] : ((cP @ X12) = $true) => ($true = (cP @ sK19))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f33,plain,(
% 0.15/0.41 ? [X13] : ((cQ @ X13) != $true) => ((cQ @ sK20) != $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f34,plain,(
% 0.15/0.41 ! [X16] : (? [X17] : ((cQ @ X17) != (cQ @ X16)) => ((cQ @ (sK21 @ X16)) != (cQ @ X16)))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f35,plain,(
% 0.15/0.41 ? [X18] : ! [X19] : ((cQ @ X19) = (cQ @ X18)) => ! [X19] : ((cQ @ X19) = (cQ @ sK22))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f36,plain,(
% 0.15/0.41 ? [X20] : ((cQ @ X20) != $true) => ((cQ @ sK23) != $true)),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f37,plain,(
% 0.15/0.41 ? [X23] : ((cP @ X23) = $true) => ($true = (cP @ sK24))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f25,plain,(
% 0.15/0.41 (((! [X0] : ? [X1] : ((cQ @ X0) != (cQ @ X1)) | ((? [X2] : ((cQ @ X2) != $true) | ! [X3] : ($true != (cP @ X3))) & (! [X4] : ((cQ @ X4) = $true) | ? [X5] : ($true = (cP @ X5))))) & (? [X6] : ! [X7] : ((cQ @ X6) = (cQ @ X7)) | ((? [X8] : ((cP @ X8) = $true) | ? [X9] : ($true != (cQ @ X9))) & (! [X10] : ($true = (cQ @ X10)) | ! [X11] : ((cP @ X11) != $true))))) | (sP0 != $true)) & (((((? [X12] : ((cP @ X12) = $true) | ? [X13] : ((cQ @ X13) != $true)) & (! [X14] : ($true = (cQ @ X14)) | ! [X15] : ($true != (cP @ X15)))) | ! [X16] : ? [X17] : ((cQ @ X17) != (cQ @ X16))) & (? [X18] : ! [X19] : ((cQ @ X19) = (cQ @ X18)) | ((? [X20] : ((cQ @ X20) != $true) | ! [X21] : ((cP @ X21) != $true)) & (! [X22] : ((cQ @ X22) = $true) | ? [X23] : ((cP @ X23) = $true))))) | (sP0 = $true))),
% 0.15/0.41 inference(rectify,[],[f24])).
% 0.15/0.41 thf(f24,plain,(
% 0.15/0.41 (((! [X4] : ? [X5] : ((cQ @ X4) != (cQ @ X5)) | ((? [X7] : ($true != (cQ @ X7)) | ! [X6] : ((cP @ X6) != $true)) & (! [X7] : ($true = (cQ @ X7)) | ? [X6] : ((cP @ X6) = $true)))) & (? [X4] : ! [X5] : ((cQ @ X4) = (cQ @ X5)) | ((? [X6] : ((cP @ X6) = $true) | ? [X7] : ($true != (cQ @ X7))) & (! [X7] : ($true = (cQ @ X7)) | ! [X6] : ((cP @ X6) != $true))))) | (sP0 != $true)) & (((((? [X6] : ((cP @ X6) = $true) | ? [X7] : ($true != (cQ @ X7))) & (! [X7] : ($true = (cQ @ X7)) | ! [X6] : ((cP @ X6) != $true))) | ! [X4] : ? [X5] : ((cQ @ X4) != (cQ @ X5))) & (? [X4] : ! [X5] : ((cQ @ X4) = (cQ @ X5)) | ((? [X7] : ($true != (cQ @ X7)) | ! [X6] : ((cP @ X6) != $true)) & (! [X7] : ($true = (cQ @ X7)) | ? [X6] : ((cP @ X6) = $true))))) | (sP0 = $true))),
% 0.15/0.41 inference(nnf_transformation,[],[f8])).
% 0.15/0.41 thf(f8,plain,(
% 0.15/0.41 (sP0 = $true) <~> ((? [X6] : ((cP @ X6) = $true) <=> ! [X7] : ($true = (cQ @ X7))) <=> ? [X4] : ! [X5] : ((cQ @ X4) = (cQ @ X5)))),
% 0.15/0.41 inference(definition_folding,[],[f6,f7])).
% 0.15/0.41 thf(f6,plain,(
% 0.15/0.41 ((! [X2] : ((cP @ X2) = $true) <=> ? [X3] : ((cQ @ X3) = $true)) <=> ? [X0] : ! [X1] : ((cP @ X0) = (cP @ X1))) <~> ((? [X6] : ((cP @ X6) = $true) <=> ! [X7] : ($true = (cQ @ X7))) <=> ? [X4] : ! [X5] : ((cQ @ X4) = (cQ @ X5)))),
% 0.15/0.41 inference(ennf_transformation,[],[f5])).
% 0.15/0.41 thf(f5,plain,(
% 0.15/0.41 ~(((? [X6] : ((cP @ X6) = $true) <=> ! [X7] : ($true = (cQ @ X7))) <=> ? [X4] : ! [X5] : ((cQ @ X4) = (cQ @ X5))) <=> ((! [X2] : ((cP @ X2) = $true) <=> ? [X3] : ((cQ @ X3) = $true)) <=> ? [X0] : ! [X1] : ((cP @ X0) = (cP @ X1))))),
% 0.15/0.41 inference(fool_elimination,[],[f4])).
% 0.15/0.41 thf(f4,plain,(
% 0.15/0.41 ~((? [X0] : ! [X1] : ((cP @ X0) <=> (cP @ X1)) <=> (! [X2] : (cP @ X2) <=> ? [X3] : (cQ @ X3))) <=> (? [X4] : ! [X5] : ((cQ @ X5) <=> (cQ @ X4)) <=> (? [X6] : (cP @ X6) <=> ! [X7] : (cQ @ X7))))),
% 0.15/0.41 inference(rectify,[],[f2])).
% 0.15/0.41 thf(f2,negated_conjecture,(
% 0.15/0.41 ~((? [X0] : ! [X1] : ((cP @ X0) <=> (cP @ X1)) <=> (! [X1] : (cP @ X1) <=> ? [X0] : (cQ @ X0))) <=> (? [X0] : ! [X1] : ((cQ @ X1) <=> (cQ @ X0)) <=> (? [X0] : (cP @ X0) <=> ! [X1] : (cQ @ X1))))),
% 0.15/0.41 inference(negated_conjecture,[],[f1])).
% 0.15/0.41 thf(f1,conjecture,(
% 0.15/0.41 (? [X0] : ! [X1] : ((cP @ X0) <=> (cP @ X1)) <=> (! [X1] : (cP @ X1) <=> ? [X0] : (cQ @ X0))) <=> (? [X0] : ! [X1] : ((cQ @ X1) <=> (cQ @ X0)) <=> (? [X0] : (cP @ X0) <=> ! [X1] : (cQ @ X1)))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2129)).
% 0.15/0.41 thf(f173,plain,(
% 0.15/0.41 spl25_3 | spl25_2 | spl25_7 | spl25_19),
% 0.15/0.41 inference(avatar_split_clause,[],[f73,f162,f111,f91,f95])).
% 0.15/0.41 thf(f73,plain,(
% 0.15/0.41 ( ! [X16 : $i,X14 : $i,X15 : $i] : (($true = (cQ @ (sK21 @ X16))) | ($true = (cQ @ X14)) | ($true = (cQ @ X16)) | (sP0 = $true) | ($true != (cP @ X15))) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f49])).
% 0.15/0.41 thf(f49,plain,(
% 0.15/0.41 ( ! [X16 : $i,X14 : $i,X15 : $i] : (($true != (cP @ X15)) | (sP0 = $true) | ((cQ @ (sK21 @ X16)) != (cQ @ X16)) | ($true = (cQ @ X14))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f38])).
% 0.15/0.41 thf(f172,plain,(
% 0.15/0.41 spl25_18 | ~spl25_20 | spl25_21 | spl25_2),
% 0.15/0.41 inference(avatar_split_clause,[],[f76,f91,f170,f165,f158])).
% 0.15/0.41 thf(f76,plain,(
% 0.15/0.41 ( ! [X16 : $i] : ((sP0 = $true) | ($false = (cQ @ X16)) | ((cQ @ sK20) != $true) | ($true = (cP @ sK19)) | ($false = (cQ @ (sK21 @ X16)))) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f50])).
% 0.15/0.41 thf(f50,plain,(
% 0.15/0.41 ( ! [X16 : $i] : (($true = (cP @ sK19)) | (sP0 = $true) | ((cQ @ sK20) != $true) | ((cQ @ (sK21 @ X16)) != (cQ @ X16))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f38])).
% 0.15/0.41 thf(f156,plain,(
% 0.15/0.41 spl25_15 | spl25_2 | spl25_17 | ~spl25_16),
% 0.15/0.41 inference(avatar_split_clause,[],[f78,f149,f154,f91,f146])).
% 0.15/0.41 thf(f78,plain,(
% 0.15/0.41 ( ! [X2 : $i,X0 : $i] : (((cQ @ X2) != $true) | ($true != (cP @ sK2)) | (sP0 = $true) | ((cP @ X0) = $false) | ((cP @ (sK1 @ X0)) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f46])).
% 0.15/0.41 thf(f46,plain,(
% 0.15/0.41 ( ! [X2 : $i,X0 : $i] : (((cP @ X0) != (cP @ (sK1 @ X0))) | (sP0 = $true) | ((cQ @ X2) != $true) | ($true != (cP @ sK2))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f23])).
% 0.15/0.41 thf(f141,plain,(
% 0.15/0.41 spl25_9 | spl25_3 | spl25_12 | spl25_2 | spl25_13),
% 0.15/0.41 inference(avatar_split_clause,[],[f80,f137,f91,f132,f95,f119])).
% 0.15/0.41 thf(f80,plain,(
% 0.15/0.41 ( ! [X19 : $i,X22 : $i] : ((sP0 = $true) | ((cQ @ X22) = $true) | ((cQ @ X19) = $false) | ((cQ @ sK22) = $true) | ($true = (cP @ sK24))) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f47])).
% 0.15/0.41 thf(f47,plain,(
% 0.15/0.41 ( ! [X19 : $i,X22 : $i] : (((cQ @ X22) = $true) | (sP0 = $true) | ($true = (cP @ sK24)) | ((cQ @ X19) = (cQ @ sK22))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f38])).
% 0.15/0.41 thf(f140,plain,(
% 0.15/0.41 spl25_13 | spl25_3 | spl25_11 | spl25_2 | spl25_3),
% 0.15/0.41 inference(avatar_split_clause,[],[f79,f95,f91,f127,f95,f137])).
% 0.15/0.41 thf(f79,plain,(
% 0.15/0.41 ( ! [X19 : $i,X22 : $i] : (($true = (cP @ sK24)) | (sP0 = $true) | ((cQ @ X19) = $true) | ((cQ @ X22) = $true) | ((cQ @ sK22) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f47])).
% 0.15/0.41 thf(f121,plain,(
% 0.15/0.41 spl25_8 | spl25_3 | ~spl25_2 | spl25_9 | spl25_7),
% 0.15/0.41 inference(avatar_split_clause,[],[f84,f111,f119,f91,f95,f115])).
% 0.15/0.41 thf(f84,plain,(
% 0.15/0.41 ( ! [X10 : $i,X11 : $i,X7 : $i] : (((cQ @ X7) = $false) | ($true = (cQ @ sK16)) | ($true = (cQ @ X10)) | (sP0 != $true) | ((cP @ X11) != $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f51])).
% 0.15/0.41 thf(f51,plain,(
% 0.15/0.41 ( ! [X10 : $i,X11 : $i,X7 : $i] : ((sP0 != $true) | ((cQ @ X7) = (cQ @ sK16)) | ($true = (cQ @ X10)) | ((cP @ X11) != $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f38])).
% 0.15/0.41 thf(f113,plain,(
% 0.15/0.41 spl25_3 | spl25_6 | ~spl25_2 | spl25_7 | spl25_3),
% 0.15/0.41 inference(avatar_split_clause,[],[f83,f95,f111,f91,f107,f95])).
% 0.15/0.41 thf(f83,plain,(
% 0.15/0.41 ( ! [X10 : $i,X11 : $i,X7 : $i] : (($true = (cQ @ X7)) | ($true = (cQ @ X10)) | ((cP @ X11) != $true) | ($false = (cQ @ sK16)) | (sP0 != $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f51])).
% 0.15/0.41 thf(f101,plain,(
% 0.15/0.41 spl25_1 | ~spl25_2 | spl25_3 | spl25_4),
% 0.15/0.41 inference(avatar_split_clause,[],[f85,f98,f95,f91,f88])).
% 0.15/0.41 thf(f85,plain,(
% 0.15/0.41 ( ! [X0 : $i,X4 : $i] : (((cQ @ X0) = $true) | ($true = (cP @ sK15)) | ($true = (cQ @ (sK13 @ X0))) | (sP0 != $true) | ((cQ @ X4) = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f53])).
% 0.15/0.41 thf(f53,plain,(
% 0.15/0.41 ( ! [X0 : $i,X4 : $i] : (((cQ @ X0) != (cQ @ (sK13 @ X0))) | ((cQ @ X4) = $true) | ($true = (cP @ sK15)) | (sP0 != $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f38])).
% 0.15/0.41 % SZS output end Proof for theBenchmark
% 0.15/0.41 % (18548)------------------------------
% 0.15/0.41 % (18548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (18548)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (18548)Memory used [KB]: 5884
% 0.15/0.41 % (18548)Time elapsed: 0.024 s
% 0.15/0.41 % (18548)Instructions burned: 24 (million)
% 0.15/0.41 % (18548)------------------------------
% 0.15/0.41 % (18548)------------------------------
% 0.15/0.41 % (18547)Success in time 0.023 s
% 0.15/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------