TSTP Solution File: SYO179^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO179^5 : 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 09:03:21 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % 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
% 0.15/0.34 % Computer : n007.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 20 10:06:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.35 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
% 0.15/0.37 % (7043)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 (2999ds/275Mi)
% 0.20/0.38 % (7039)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 (2999ds/4Mi)
% 0.20/0.38 % (7041)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38 % (7040)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 (2999ds/27Mi)
% 0.20/0.38 % (7042)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 (2999ds/2Mi)
% 0.20/0.38 % (7044)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.38 % (7041)Instruction limit reached!
% 0.20/0.38 % (7041)------------------------------
% 0.20/0.38 % (7041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (7041)Termination reason: Unknown
% 0.20/0.38 % (7041)Termination phase: Property scanning
% 0.20/0.38 % (7042)Instruction limit reached!
% 0.20/0.38 % (7042)------------------------------
% 0.20/0.38 % (7042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (7042)Termination reason: Unknown
% 0.20/0.38 % (7042)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (7045)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.38 % (7042)Memory used [KB]: 895
% 0.20/0.38 % (7042)Time elapsed: 0.004 s
% 0.20/0.38 % (7042)Instructions burned: 2 (million)
% 0.20/0.38 % (7042)------------------------------
% 0.20/0.38 % (7042)------------------------------
% 0.20/0.38
% 0.20/0.38 % (7041)Memory used [KB]: 895
% 0.20/0.38 % (7041)Time elapsed: 0.004 s
% 0.20/0.38 % (7041)Instructions burned: 2 (million)
% 0.20/0.38 % (7041)------------------------------
% 0.20/0.38 % (7041)------------------------------
% 0.20/0.38 % (7039)Instruction limit reached!
% 0.20/0.38 % (7039)------------------------------
% 0.20/0.38 % (7039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (7039)Termination reason: Unknown
% 0.20/0.38 % (7039)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (7039)Memory used [KB]: 5500
% 0.20/0.38 % (7039)Time elapsed: 0.007 s
% 0.20/0.38 % (7039)Instructions burned: 4 (million)
% 0.20/0.38 % (7039)------------------------------
% 0.20/0.38 % (7039)------------------------------
% 0.20/0.38 % (7038)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.38 % (7045)Instruction limit reached!
% 0.20/0.38 % (7045)------------------------------
% 0.20/0.38 % (7045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (7045)Termination reason: Unknown
% 0.20/0.38 % (7045)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (7045)Memory used [KB]: 5500
% 0.20/0.38 % (7045)Time elapsed: 0.005 s
% 0.20/0.38 % (7045)Instructions burned: 3 (million)
% 0.20/0.38 % (7045)------------------------------
% 0.20/0.38 % (7045)------------------------------
% 0.20/0.40 % (7044)Instruction limit reached!
% 0.20/0.40 % (7044)------------------------------
% 0.20/0.40 % (7044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (7044)Termination reason: Unknown
% 0.20/0.40 % (7044)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (7044)Memory used [KB]: 5628
% 0.20/0.40 % (7044)Time elapsed: 0.023 s
% 0.20/0.40 % (7044)Instructions burned: 18 (million)
% 0.20/0.40 % (7044)------------------------------
% 0.20/0.40 % (7044)------------------------------
% 0.20/0.40 % (7046)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)
% 0.20/0.40 % (7047)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)
% 0.20/0.41 % (7048)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)
% 0.20/0.41 % (7040)Instruction limit reached!
% 0.20/0.41 % (7040)------------------------------
% 0.20/0.41 % (7040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (7040)Termination reason: Unknown
% 0.20/0.41 % (7040)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (7040)Memory used [KB]: 5628
% 0.20/0.41 % (7040)Time elapsed: 0.034 s
% 0.20/0.41 % (7040)Instructions burned: 27 (million)
% 0.20/0.41 % (7040)------------------------------
% 0.20/0.41 % (7040)------------------------------
% 0.20/0.41 % (7048)Instruction limit reached!
% 0.20/0.41 % (7048)------------------------------
% 0.20/0.41 % (7048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (7048)Termination reason: Unknown
% 0.20/0.41 % (7048)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (7048)Memory used [KB]: 5500
% 0.20/0.41 % (7048)Time elapsed: 0.005 s
% 0.20/0.41 % (7048)Instructions burned: 3 (million)
% 0.20/0.41 % (7048)------------------------------
% 0.20/0.41 % (7048)------------------------------
% 0.20/0.41 % (7043)First to succeed.
% 0.20/0.42 % (7047)Instruction limit reached!
% 0.20/0.42 % (7047)------------------------------
% 0.20/0.42 % (7047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (7047)Termination reason: Unknown
% 0.20/0.42 % (7047)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (7047)Memory used [KB]: 5628
% 0.20/0.42 % (7047)Time elapsed: 0.018 s
% 0.20/0.42 % (7047)Instructions burned: 15 (million)
% 0.20/0.42 % (7047)------------------------------
% 0.20/0.42 % (7047)------------------------------
% 0.20/0.42 % (7043)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% 0.20/0.42 thf(func_def_0, type, cG: $i > $i > $o).
% 0.20/0.42 thf(func_def_1, type, cR: $i > $i > $o).
% 0.20/0.42 thf(f697,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(avatar_sat_refutation,[],[f34,f43,f52,f61,f70,f79,f88,f97,f106,f115,f124,f133,f142,f151,f160,f202,f216,f218,f220,f222,f233,f234,f236,f248,f260,f278,f288,f297,f324,f333,f334,f336,f347,f353,f365,f386,f398,f432,f433,f451,f477,f479,f493,f555,f557,f559,f597,f613,f629,f656,f674,f686,f696])).
% 0.20/0.42 thf(f696,plain,(
% 0.20/0.42 ~spl0_6 | ~spl0_10 | ~spl0_17),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f695])).
% 0.20/0.42 thf(f695,plain,(
% 0.20/0.42 $false | (~spl0_6 | ~spl0_10 | ~spl0_17)),
% 0.20/0.42 inference(subsumption_resolution,[],[f692,f101])).
% 0.20/0.42 thf(f101,plain,(
% 0.20/0.42 ((cR @ cC @ cD) = $true) | ~spl0_17),
% 0.20/0.42 inference(avatar_component_clause,[],[f99])).
% 0.20/0.42 thf(f99,plain,(
% 0.20/0.42 spl0_17 <=> ((cR @ cC @ cD) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 0.20/0.42 thf(f692,plain,(
% 0.20/0.42 ((cR @ cC @ cD) != $true) | (~spl0_6 | ~spl0_10)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f690])).
% 0.20/0.42 thf(f690,plain,(
% 0.20/0.42 ((cR @ cC @ cD) != $true) | ($true != $true) | (~spl0_6 | ~spl0_10)),
% 0.20/0.42 inference(superposition,[],[f567,f51])).
% 0.20/0.42 thf(f51,plain,(
% 0.20/0.42 ((cR @ cB @ cC) = $true) | ~spl0_6),
% 0.20/0.42 inference(avatar_component_clause,[],[f49])).
% 0.20/0.42 thf(f49,plain,(
% 0.20/0.42 spl0_6 <=> ((cR @ cB @ cC) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.20/0.42 thf(f567,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cB @ X0) != $true) | ((cR @ X0 @ cD) != $true)) ) | ~spl0_10),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f566])).
% 0.20/0.42 thf(f566,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != $true) | ((cR @ cB @ X0) != $true) | ((cR @ X0 @ cD) != $true)) ) | ~spl0_10),
% 0.20/0.42 inference(superposition,[],[f14,f69])).
% 0.20/0.42 thf(f69,plain,(
% 0.20/0.42 ((cR @ cB @ cD) = $true) | ~spl0_10),
% 0.20/0.42 inference(avatar_component_clause,[],[f67])).
% 0.20/0.42 thf(f67,plain,(
% 0.20/0.42 spl0_10 <=> ((cR @ cB @ cD) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.20/0.42 thf(f14,plain,(
% 0.20/0.42 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((cR @ X4 @ X5) != $true) | ((cR @ X4 @ X3) != $true) | ((cR @ X3 @ X5) != $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f8])).
% 0.20/0.42 thf(f8,plain,(
% 0.20/0.42 (((cR @ cE @ cF) = $true) | ((cG @ cE @ cF) = $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cG @ cA @ cC) = $true) | ((cR @ cA @ cC) = $true)) & (((cG @ cA @ cF) = $true) | ((cR @ cA @ cF) = $true)) & (((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)) & (((cR @ cB @ cC) = $true) | ((cG @ cB @ cC) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cR @ cC @ cD) = $true) | ((cG @ cC @ cD) = $true)) & (((cG @ cD @ cF) = $true) | ((cR @ cD @ cF) = $true)) & ! [X0,X1,X2] : (((cG @ X1 @ X0) != $true) | ((cG @ X2 @ X1) != $true) | ((cG @ X2 @ X0) != $true)) & ! [X3,X4,X5] : (((cR @ X3 @ X5) != $true) | ((cR @ X4 @ X5) != $true) | ((cR @ X4 @ X3) != $true)) & (((cG @ cA @ cE) = $true) | ((cR @ cA @ cE) = $true)) & (((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true))),
% 0.20/0.42 inference(rectify,[],[f7])).
% 0.20/0.42 thf(f7,plain,(
% 0.20/0.42 (((cR @ cE @ cF) = $true) | ((cG @ cE @ cF) = $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cG @ cA @ cC) = $true) | ((cR @ cA @ cC) = $true)) & (((cG @ cA @ cF) = $true) | ((cR @ cA @ cF) = $true)) & (((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)) & (((cR @ cB @ cC) = $true) | ((cG @ cB @ cC) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cR @ cC @ cD) = $true) | ((cG @ cC @ cD) = $true)) & (((cG @ cD @ cF) = $true) | ((cR @ cD @ cF) = $true)) & ! [X1,X0,X2] : (((cG @ X0 @ X1) != $true) | ((cG @ X2 @ X0) != $true) | ((cG @ X2 @ X1) != $true)) & ! [X4,X5,X3] : (((cR @ X4 @ X3) != $true) | ((cR @ X5 @ X3) != $true) | ((cR @ X5 @ X4) != $true)) & (((cG @ cA @ cE) = $true) | ((cR @ cA @ cE) = $true)) & (((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true))),
% 0.20/0.42 inference(flattening,[],[f6])).
% 0.20/0.42 thf(f6,plain,(
% 0.20/0.42 (! [X4,X5,X3] : (((cR @ X4 @ X3) != $true) | ((cR @ X5 @ X3) != $true) | ((cR @ X5 @ X4) != $true)) & ! [X1,X0,X2] : (((cG @ X0 @ X1) != $true) | ((cG @ X2 @ X0) != $true) | ((cG @ X2 @ X1) != $true))) & ((((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cG @ cA @ cF) = $true) | ((cR @ cA @ cF) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)) & (((cR @ cC @ cD) = $true) | ((cG @ cC @ cD) = $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cR @ cB @ cC) = $true) | ((cG @ cB @ cC) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cG @ cD @ cF) = $true) | ((cR @ cD @ cF) = $true)) & (((cR @ cE @ cF) = $true) | ((cG @ cE @ cF) = $true)) & (((cG @ cA @ cC) = $true) | ((cR @ cA @ cC) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)) & (((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cG @ cA @ cE) = $true) | ((cR @ cA @ cE) = $true)))),
% 0.20/0.42 inference(ennf_transformation,[],[f5])).
% 0.20/0.42 thf(f5,plain,(
% 0.20/0.42 ~(((((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cG @ cA @ cF) = $true) | ((cR @ cA @ cF) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)) & (((cR @ cC @ cD) = $true) | ((cG @ cC @ cD) = $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cR @ cB @ cC) = $true) | ((cG @ cB @ cC) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cG @ cD @ cF) = $true) | ((cR @ cD @ cF) = $true)) & (((cR @ cE @ cF) = $true) | ((cG @ cE @ cF) = $true)) & (((cG @ cA @ cC) = $true) | ((cR @ cA @ cC) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)) & (((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cG @ cA @ cE) = $true) | ((cR @ cA @ cE) = $true))) => (? [X5,X4,X3] : (((cR @ X5 @ X3) = $true) & ((cR @ X5 @ X4) = $true) & ((cR @ X4 @ X3) = $true)) | ? [X1,X0,X2] : (((cG @ X2 @ X1) = $true) & ((cG @ X0 @ X1) = $true) & ((cG @ X2 @ X0) = $true))))),
% 0.20/0.42 inference(fool_elimination,[],[f4])).
% 0.20/0.42 thf(f4,plain,(
% 0.20/0.42 ~((((cR @ cA @ cC) | (cG @ cA @ cC)) & ((cG @ cC @ cF) | (cR @ cC @ cF)) & ((cG @ cC @ cE) | (cR @ cC @ cE)) & ((cR @ cB @ cF) | (cG @ cB @ cF)) & ((cG @ cA @ cE) | (cR @ cA @ cE)) & ((cR @ cD @ cE) | (cG @ cD @ cE)) & ((cG @ cB @ cD) | (cR @ cB @ cD)) & ((cG @ cA @ cB) | (cR @ cA @ cB)) & ((cG @ cB @ cC) | (cR @ cB @ cC)) & ((cG @ cA @ cF) | (cR @ cA @ cF)) & ((cG @ cB @ cE) | (cR @ cB @ cE)) & ((cR @ cA @ cD) | (cG @ cA @ cD)) & ((cR @ cE @ cF) | (cG @ cE @ cF)) & ((cG @ cD @ cF) | (cR @ cD @ cF)) & ((cG @ cC @ cD) | (cR @ cC @ cD))) => (? [X0,X1,X2] : ((cG @ X2 @ X0) & (cG @ X2 @ X1) & (cG @ X0 @ X1)) | ? [X3,X4,X5] : ((cR @ X5 @ X3) & (cR @ X5 @ X4) & (cR @ X4 @ X3))))),
% 0.20/0.42 inference(rectify,[],[f2])).
% 0.20/0.42 thf(f2,negated_conjecture,(
% 0.20/0.42 ~((((cR @ cA @ cC) | (cG @ cA @ cC)) & ((cG @ cC @ cF) | (cR @ cC @ cF)) & ((cG @ cC @ cE) | (cR @ cC @ cE)) & ((cR @ cB @ cF) | (cG @ cB @ cF)) & ((cG @ cA @ cE) | (cR @ cA @ cE)) & ((cR @ cD @ cE) | (cG @ cD @ cE)) & ((cG @ cB @ cD) | (cR @ cB @ cD)) & ((cG @ cA @ cB) | (cR @ cA @ cB)) & ((cG @ cB @ cC) | (cR @ cB @ cC)) & ((cG @ cA @ cF) | (cR @ cA @ cF)) & ((cG @ cB @ cE) | (cR @ cB @ cE)) & ((cR @ cA @ cD) | (cG @ cA @ cD)) & ((cR @ cE @ cF) | (cG @ cE @ cF)) & ((cG @ cD @ cF) | (cR @ cD @ cF)) & ((cG @ cC @ cD) | (cR @ cC @ cD))) => (? [X1,X2,X0] : ((cG @ X0 @ X1) & (cG @ X0 @ X2) & (cG @ X1 @ X2)) | ? [X2,X1,X0] : ((cR @ X0 @ X2) & (cR @ X0 @ X1) & (cR @ X1 @ X2))))),
% 0.20/0.42 inference(negated_conjecture,[],[f1])).
% 0.20/0.42 thf(f1,conjecture,(
% 0.20/0.42 (((cR @ cA @ cC) | (cG @ cA @ cC)) & ((cG @ cC @ cF) | (cR @ cC @ cF)) & ((cG @ cC @ cE) | (cR @ cC @ cE)) & ((cR @ cB @ cF) | (cG @ cB @ cF)) & ((cG @ cA @ cE) | (cR @ cA @ cE)) & ((cR @ cD @ cE) | (cG @ cD @ cE)) & ((cG @ cB @ cD) | (cR @ cB @ cD)) & ((cG @ cA @ cB) | (cR @ cA @ cB)) & ((cG @ cB @ cC) | (cR @ cB @ cC)) & ((cG @ cA @ cF) | (cR @ cA @ cF)) & ((cG @ cB @ cE) | (cR @ cB @ cE)) & ((cR @ cA @ cD) | (cG @ cA @ cD)) & ((cR @ cE @ cF) | (cG @ cE @ cF)) & ((cG @ cD @ cF) | (cR @ cD @ cF)) & ((cG @ cC @ cD) | (cR @ cC @ cD))) => (? [X1,X2,X0] : ((cG @ X0 @ X1) & (cG @ X0 @ X2) & (cG @ X1 @ X2)) | ? [X2,X1,X0] : ((cR @ X0 @ X2) & (cR @ X0 @ X1) & (cR @ X1 @ X2)))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIX_THEOREM_B)).
% 0.20/0.42 thf(f686,plain,(
% 0.20/0.42 ~spl0_4 | ~spl0_12 | ~spl0_18),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f685])).
% 0.20/0.42 thf(f685,plain,(
% 0.20/0.42 $false | (~spl0_4 | ~spl0_12 | ~spl0_18)),
% 0.20/0.42 inference(subsumption_resolution,[],[f684,f42])).
% 0.20/0.42 thf(f42,plain,(
% 0.20/0.42 ((cG @ cC @ cF) = $true) | ~spl0_4),
% 0.20/0.42 inference(avatar_component_clause,[],[f40])).
% 0.20/0.42 thf(f40,plain,(
% 0.20/0.42 spl0_4 <=> ((cG @ cC @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.20/0.42 thf(f684,plain,(
% 0.20/0.42 ((cG @ cC @ cF) != $true) | (~spl0_12 | ~spl0_18)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f683])).
% 0.20/0.42 thf(f683,plain,(
% 0.20/0.42 ($true != $true) | ((cG @ cC @ cF) != $true) | (~spl0_12 | ~spl0_18)),
% 0.20/0.42 inference(superposition,[],[f639,f78])).
% 0.20/0.42 thf(f78,plain,(
% 0.20/0.42 ((cG @ cD @ cF) = $true) | ~spl0_12),
% 0.20/0.42 inference(avatar_component_clause,[],[f76])).
% 0.20/0.42 thf(f76,plain,(
% 0.20/0.42 spl0_12 <=> ((cG @ cD @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.20/0.42 thf(f639,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cC @ X0) != $true)) ) | ~spl0_18),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f638])).
% 0.20/0.42 thf(f638,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != $true) | ($true != (cG @ cD @ X0)) | ((cG @ cC @ X0) != $true)) ) | ~spl0_18),
% 0.20/0.42 inference(superposition,[],[f15,f105])).
% 0.20/0.42 thf(f105,plain,(
% 0.20/0.42 ((cG @ cC @ cD) = $true) | ~spl0_18),
% 0.20/0.42 inference(avatar_component_clause,[],[f103])).
% 0.20/0.42 thf(f103,plain,(
% 0.20/0.42 spl0_18 <=> ((cG @ cC @ cD) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 0.20/0.42 thf(f15,plain,(
% 0.20/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cG @ X2 @ X1) != $true) | ((cG @ X2 @ X0) != $true) | ((cG @ X1 @ X0) != $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f8])).
% 0.20/0.42 thf(f674,plain,(
% 0.20/0.42 ~spl0_1 | ~spl0_3 | ~spl0_24),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f673])).
% 0.20/0.42 thf(f673,plain,(
% 0.20/0.42 $false | (~spl0_1 | ~spl0_3 | ~spl0_24)),
% 0.20/0.42 inference(subsumption_resolution,[],[f671,f132])).
% 0.20/0.42 thf(f132,plain,(
% 0.20/0.42 ((cR @ cE @ cF) = $true) | ~spl0_24),
% 0.20/0.42 inference(avatar_component_clause,[],[f130])).
% 0.20/0.42 thf(f130,plain,(
% 0.20/0.42 spl0_24 <=> ((cR @ cE @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.20/0.42 thf(f671,plain,(
% 0.20/0.42 ((cR @ cE @ cF) != $true) | (~spl0_1 | ~spl0_3)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f669])).
% 0.20/0.42 thf(f669,plain,(
% 0.20/0.42 ($true != $true) | ((cR @ cE @ cF) != $true) | (~spl0_1 | ~spl0_3)),
% 0.20/0.42 inference(superposition,[],[f631,f29])).
% 0.20/0.42 thf(f29,plain,(
% 0.20/0.42 ((cR @ cC @ cE) = $true) | ~spl0_1),
% 0.20/0.42 inference(avatar_component_clause,[],[f27])).
% 0.20/0.42 thf(f27,plain,(
% 0.20/0.42 spl0_1 <=> ((cR @ cC @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.20/0.42 thf(f631,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cC @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_3),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f630])).
% 0.20/0.42 thf(f630,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ X0 @ cF) != $true) | ($true != $true) | ((cR @ cC @ X0) != $true)) ) | ~spl0_3),
% 0.20/0.42 inference(superposition,[],[f14,f38])).
% 0.20/0.42 thf(f38,plain,(
% 0.20/0.42 ((cR @ cC @ cF) = $true) | ~spl0_3),
% 0.20/0.42 inference(avatar_component_clause,[],[f36])).
% 0.20/0.42 thf(f36,plain,(
% 0.20/0.42 spl0_3 <=> ((cR @ cC @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.20/0.42 thf(f656,plain,(
% 0.20/0.42 ~spl0_11 | ~spl0_10 | ~spl0_28),
% 0.20/0.42 inference(avatar_split_clause,[],[f653,f148,f67,f72])).
% 0.20/0.42 thf(f72,plain,(
% 0.20/0.42 spl0_11 <=> ((cR @ cD @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.20/0.42 thf(f148,plain,(
% 0.20/0.42 spl0_28 <=> ((cR @ cB @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 0.20/0.42 thf(f653,plain,(
% 0.20/0.42 ((cR @ cD @ cF) != $true) | (~spl0_10 | ~spl0_28)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f651])).
% 0.20/0.42 thf(f651,plain,(
% 0.20/0.42 ($true != $true) | ((cR @ cD @ cF) != $true) | (~spl0_10 | ~spl0_28)),
% 0.20/0.42 inference(superposition,[],[f583,f69])).
% 0.20/0.42 thf(f583,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cB @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_28),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f582])).
% 0.20/0.42 thf(f582,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != $true) | ((cR @ X0 @ cF) != $true) | ((cR @ cB @ X0) != $true)) ) | ~spl0_28),
% 0.20/0.42 inference(superposition,[],[f14,f150])).
% 0.20/0.42 thf(f150,plain,(
% 0.20/0.42 ((cR @ cB @ cF) = $true) | ~spl0_28),
% 0.20/0.42 inference(avatar_component_clause,[],[f148])).
% 0.20/0.42 thf(f629,plain,(
% 0.20/0.42 ~spl0_15 | ~spl0_19 | ~spl0_21),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f628])).
% 0.20/0.42 thf(f628,plain,(
% 0.20/0.42 $false | (~spl0_15 | ~spl0_19 | ~spl0_21)),
% 0.20/0.42 inference(subsumption_resolution,[],[f627,f110])).
% 0.20/0.42 thf(f110,plain,(
% 0.20/0.42 ((cG @ cA @ cE) = $true) | ~spl0_19),
% 0.20/0.42 inference(avatar_component_clause,[],[f108])).
% 0.20/0.42 thf(f108,plain,(
% 0.20/0.42 spl0_19 <=> ((cG @ cA @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 0.20/0.42 thf(f627,plain,(
% 0.20/0.42 ((cG @ cA @ cE) != $true) | (~spl0_15 | ~spl0_21)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f626])).
% 0.20/0.42 thf(f626,plain,(
% 0.20/0.42 ((cG @ cA @ cE) != $true) | ($true != $true) | (~spl0_15 | ~spl0_21)),
% 0.20/0.42 inference(superposition,[],[f577,f92])).
% 0.20/0.42 thf(f92,plain,(
% 0.20/0.42 ((cG @ cD @ cE) = $true) | ~spl0_15),
% 0.20/0.42 inference(avatar_component_clause,[],[f90])).
% 0.20/0.42 thf(f90,plain,(
% 0.20/0.42 spl0_15 <=> ((cG @ cD @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.20/0.42 thf(f577,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cA @ X0) != $true)) ) | ~spl0_21),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f576])).
% 0.20/0.42 thf(f576,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cA @ X0) != $true) | ($true != $true)) ) | ~spl0_21),
% 0.20/0.42 inference(superposition,[],[f15,f119])).
% 0.20/0.42 thf(f119,plain,(
% 0.20/0.42 ((cG @ cA @ cD) = $true) | ~spl0_21),
% 0.20/0.42 inference(avatar_component_clause,[],[f117])).
% 0.20/0.42 thf(f117,plain,(
% 0.20/0.42 spl0_21 <=> ((cG @ cA @ cD) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.20/0.42 thf(f613,plain,(
% 0.20/0.42 ~spl0_2 | ~spl0_15 | ~spl0_18),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f612])).
% 0.20/0.42 thf(f612,plain,(
% 0.20/0.42 $false | (~spl0_2 | ~spl0_15 | ~spl0_18)),
% 0.20/0.42 inference(subsumption_resolution,[],[f611,f33])).
% 0.20/0.42 thf(f33,plain,(
% 0.20/0.42 ((cG @ cC @ cE) = $true) | ~spl0_2),
% 0.20/0.42 inference(avatar_component_clause,[],[f31])).
% 0.20/0.42 thf(f31,plain,(
% 0.20/0.42 spl0_2 <=> ((cG @ cC @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.20/0.42 thf(f611,plain,(
% 0.20/0.42 ((cG @ cC @ cE) != $true) | (~spl0_15 | ~spl0_18)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f610])).
% 0.20/0.42 thf(f610,plain,(
% 0.20/0.42 ($true != $true) | ((cG @ cC @ cE) != $true) | (~spl0_15 | ~spl0_18)),
% 0.20/0.42 inference(superposition,[],[f573,f92])).
% 0.20/0.42 thf(f573,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cC @ X0) != $true)) ) | ~spl0_18),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f571])).
% 0.20/0.42 thf(f571,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cC @ X0) != $true) | ($true != $true)) ) | ~spl0_18),
% 0.20/0.42 inference(superposition,[],[f15,f105])).
% 0.20/0.42 thf(f597,plain,(
% 0.20/0.42 ~spl0_8 | ~spl0_10 | ~spl0_16),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f596])).
% 0.20/0.42 thf(f596,plain,(
% 0.20/0.42 $false | (~spl0_8 | ~spl0_10 | ~spl0_16)),
% 0.20/0.42 inference(subsumption_resolution,[],[f594,f96])).
% 0.20/0.42 thf(f96,plain,(
% 0.20/0.42 ((cR @ cD @ cE) = $true) | ~spl0_16),
% 0.20/0.42 inference(avatar_component_clause,[],[f94])).
% 0.20/0.42 thf(f94,plain,(
% 0.20/0.42 spl0_16 <=> ((cR @ cD @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.20/0.42 thf(f594,plain,(
% 0.20/0.42 ((cR @ cD @ cE) != $true) | (~spl0_8 | ~spl0_10)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f591])).
% 0.20/0.42 thf(f591,plain,(
% 0.20/0.42 ((cR @ cD @ cE) != $true) | ($true != $true) | (~spl0_8 | ~spl0_10)),
% 0.20/0.42 inference(superposition,[],[f565,f69])).
% 0.20/0.42 thf(f565,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cB @ X0) != $true) | ((cR @ X0 @ cE) != $true)) ) | ~spl0_8),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f564])).
% 0.20/0.42 thf(f564,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != $true) | ((cR @ X0 @ cE) != $true) | ((cR @ cB @ X0) != $true)) ) | ~spl0_8),
% 0.20/0.42 inference(superposition,[],[f14,f60])).
% 0.20/0.42 thf(f60,plain,(
% 0.20/0.42 ((cR @ cB @ cE) = $true) | ~spl0_8),
% 0.20/0.42 inference(avatar_component_clause,[],[f58])).
% 0.20/0.42 thf(f58,plain,(
% 0.20/0.42 spl0_8 <=> ((cR @ cB @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.20/0.42 thf(f559,plain,(
% 0.20/0.42 ~spl0_11 | ~spl0_16 | ~spl0_24),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f558])).
% 0.20/0.42 thf(f558,plain,(
% 0.20/0.42 $false | (~spl0_11 | ~spl0_16 | ~spl0_24)),
% 0.20/0.42 inference(subsumption_resolution,[],[f440,f132])).
% 0.20/0.42 thf(f440,plain,(
% 0.20/0.42 ((cR @ cE @ cF) != $true) | (~spl0_11 | ~spl0_16)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f438])).
% 0.20/0.42 thf(f438,plain,(
% 0.20/0.42 ((cR @ cE @ cF) != $true) | ($true != $true) | (~spl0_11 | ~spl0_16)),
% 0.20/0.42 inference(superposition,[],[f369,f96])).
% 0.20/0.42 thf(f369,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cD @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_11),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f368])).
% 0.20/0.42 thf(f368,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cD @ X0) != $true) | ($true != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_11),
% 0.20/0.42 inference(superposition,[],[f14,f74])).
% 0.20/0.42 thf(f74,plain,(
% 0.20/0.42 ((cR @ cD @ cF) = $true) | ~spl0_11),
% 0.20/0.42 inference(avatar_component_clause,[],[f72])).
% 0.20/0.42 thf(f557,plain,(
% 0.20/0.42 ~spl0_3 | ~spl0_14 | ~spl0_30),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f556])).
% 0.20/0.42 thf(f556,plain,(
% 0.20/0.42 $false | (~spl0_3 | ~spl0_14 | ~spl0_30)),
% 0.20/0.42 inference(subsumption_resolution,[],[f552,f38])).
% 0.20/0.42 thf(f552,plain,(
% 0.20/0.42 ((cR @ cC @ cF) != $true) | (~spl0_14 | ~spl0_30)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f550])).
% 0.20/0.42 thf(f550,plain,(
% 0.20/0.42 ((cR @ cC @ cF) != $true) | ($true != $true) | (~spl0_14 | ~spl0_30)),
% 0.20/0.42 inference(superposition,[],[f505,f87])).
% 0.20/0.42 thf(f87,plain,(
% 0.20/0.42 ((cR @ cA @ cC) = $true) | ~spl0_14),
% 0.20/0.42 inference(avatar_component_clause,[],[f85])).
% 0.20/0.42 thf(f85,plain,(
% 0.20/0.42 spl0_14 <=> ((cR @ cA @ cC) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.20/0.42 thf(f505,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_30),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f504])).
% 0.20/0.42 thf(f504,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != $true) | ((cR @ cA @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_30),
% 0.20/0.42 inference(superposition,[],[f14,f159])).
% 0.20/0.42 thf(f159,plain,(
% 0.20/0.42 ((cR @ cA @ cF) = $true) | ~spl0_30),
% 0.20/0.42 inference(avatar_component_clause,[],[f157])).
% 0.20/0.42 thf(f157,plain,(
% 0.20/0.42 spl0_30 <=> ((cR @ cA @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 0.20/0.42 thf(f555,plain,(
% 0.20/0.42 ~spl0_11 | ~spl0_22 | ~spl0_30),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f554])).
% 0.20/0.42 thf(f554,plain,(
% 0.20/0.42 $false | (~spl0_11 | ~spl0_22 | ~spl0_30)),
% 0.20/0.42 inference(subsumption_resolution,[],[f553,f74])).
% 0.20/0.42 thf(f553,plain,(
% 0.20/0.42 ((cR @ cD @ cF) != $true) | (~spl0_22 | ~spl0_30)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f549])).
% 0.20/0.42 thf(f549,plain,(
% 0.20/0.42 ((cR @ cD @ cF) != $true) | ($true != $true) | (~spl0_22 | ~spl0_30)),
% 0.20/0.42 inference(superposition,[],[f505,f123])).
% 0.20/0.42 thf(f123,plain,(
% 0.20/0.42 ((cR @ cA @ cD) = $true) | ~spl0_22),
% 0.20/0.42 inference(avatar_component_clause,[],[f121])).
% 0.20/0.42 thf(f121,plain,(
% 0.20/0.42 spl0_22 <=> ((cR @ cA @ cD) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 0.20/0.42 thf(f493,plain,(
% 0.20/0.42 ~spl0_7 | ~spl0_23 | ~spl0_27),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f492])).
% 0.20/0.42 thf(f492,plain,(
% 0.20/0.42 $false | (~spl0_7 | ~spl0_23 | ~spl0_27)),
% 0.20/0.42 inference(subsumption_resolution,[],[f491,f128])).
% 0.20/0.42 thf(f128,plain,(
% 0.20/0.42 ((cG @ cE @ cF) = $true) | ~spl0_23),
% 0.20/0.42 inference(avatar_component_clause,[],[f126])).
% 0.20/0.42 thf(f126,plain,(
% 0.20/0.42 spl0_23 <=> ((cG @ cE @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 0.20/0.42 thf(f491,plain,(
% 0.20/0.42 ((cG @ cE @ cF) != $true) | (~spl0_7 | ~spl0_27)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f488])).
% 0.20/0.42 thf(f488,plain,(
% 0.20/0.42 ($true != $true) | ((cG @ cE @ cF) != $true) | (~spl0_7 | ~spl0_27)),
% 0.20/0.42 inference(superposition,[],[f435,f146])).
% 0.20/0.42 thf(f146,plain,(
% 0.20/0.42 ((cG @ cB @ cF) = $true) | ~spl0_27),
% 0.20/0.42 inference(avatar_component_clause,[],[f144])).
% 0.20/0.42 thf(f144,plain,(
% 0.20/0.42 spl0_27 <=> ((cG @ cB @ cF) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 0.20/0.42 thf(f435,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cG @ cB @ X0) != $true) | ((cG @ cE @ X0) != $true)) ) | ~spl0_7),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f434])).
% 0.20/0.42 thf(f434,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (($true != $true) | ((cG @ cB @ X0) != $true) | ((cG @ cE @ X0) != $true)) ) | ~spl0_7),
% 0.20/0.42 inference(superposition,[],[f15,f56])).
% 0.20/0.42 thf(f56,plain,(
% 0.20/0.42 ((cG @ cB @ cE) = $true) | ~spl0_7),
% 0.20/0.42 inference(avatar_component_clause,[],[f54])).
% 0.20/0.42 thf(f54,plain,(
% 0.20/0.42 spl0_7 <=> ((cG @ cB @ cE) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.20/0.42 thf(f479,plain,(
% 0.20/0.42 ~spl0_13 | ~spl0_18 | ~spl0_21),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f478])).
% 0.20/0.42 thf(f478,plain,(
% 0.20/0.42 $false | (~spl0_13 | ~spl0_18 | ~spl0_21)),
% 0.20/0.42 inference(subsumption_resolution,[],[f474,f105])).
% 0.20/0.42 thf(f474,plain,(
% 0.20/0.42 ((cG @ cC @ cD) != $true) | (~spl0_13 | ~spl0_21)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f471])).
% 0.20/0.42 thf(f471,plain,(
% 0.20/0.42 ((cG @ cC @ cD) != $true) | ($true != $true) | (~spl0_13 | ~spl0_21)),
% 0.20/0.42 inference(superposition,[],[f437,f119])).
% 0.20/0.42 thf(f437,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cG @ cA @ X0) != $true) | ((cG @ cC @ X0) != $true)) ) | ~spl0_13),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f436])).
% 0.20/0.42 thf(f436,plain,(
% 0.20/0.42 ( ! [X0 : $i] : (((cG @ cC @ X0) != $true) | ($true != $true) | ((cG @ cA @ X0) != $true)) ) | ~spl0_13),
% 0.20/0.42 inference(superposition,[],[f15,f83])).
% 0.20/0.42 thf(f83,plain,(
% 0.20/0.42 ((cG @ cA @ cC) = $true) | ~spl0_13),
% 0.20/0.42 inference(avatar_component_clause,[],[f81])).
% 0.20/0.42 thf(f81,plain,(
% 0.20/0.42 spl0_13 <=> ((cG @ cA @ cC) = $true)),
% 0.20/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.20/0.42 thf(f477,plain,(
% 0.20/0.42 ~spl0_4 | ~spl0_13 | ~spl0_29),
% 0.20/0.42 inference(avatar_contradiction_clause,[],[f476])).
% 0.20/0.42 thf(f476,plain,(
% 0.20/0.42 $false | (~spl0_4 | ~spl0_13 | ~spl0_29)),
% 0.20/0.42 inference(subsumption_resolution,[],[f475,f42])).
% 0.20/0.42 thf(f475,plain,(
% 0.20/0.42 ((cG @ cC @ cF) != $true) | (~spl0_13 | ~spl0_29)),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f470])).
% 0.20/0.42 thf(f470,plain,(
% 0.20/0.42 ((cG @ cC @ cF) != $true) | ($true != $true) | (~spl0_13 | ~spl0_29)),
% 0.20/0.43 inference(superposition,[],[f437,f155])).
% 0.20/0.43 thf(f155,plain,(
% 0.20/0.43 ((cG @ cA @ cF) = $true) | ~spl0_29),
% 0.20/0.43 inference(avatar_component_clause,[],[f153])).
% 0.20/0.43 thf(f153,plain,(
% 0.20/0.43 spl0_29 <=> ((cG @ cA @ cF) = $true)),
% 0.20/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.20/0.43 thf(f451,plain,(
% 0.20/0.43 ~spl0_1 | ~spl0_16 | ~spl0_17),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f450])).
% 0.20/0.43 thf(f450,plain,(
% 0.20/0.43 $false | (~spl0_1 | ~spl0_16 | ~spl0_17)),
% 0.20/0.43 inference(subsumption_resolution,[],[f448,f96])).
% 0.20/0.43 thf(f448,plain,(
% 0.20/0.43 ((cR @ cD @ cE) != $true) | (~spl0_1 | ~spl0_17)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f447])).
% 0.20/0.43 thf(f447,plain,(
% 0.20/0.43 ((cR @ cD @ cE) != $true) | ($true != $true) | (~spl0_1 | ~spl0_17)),
% 0.20/0.43 inference(superposition,[],[f400,f101])).
% 0.20/0.43 thf(f400,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cC @ X0) != $true) | ((cR @ X0 @ cE) != $true)) ) | ~spl0_1),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f399])).
% 0.20/0.43 thf(f399,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cE) != $true) | ($true != $true) | ((cR @ cC @ X0) != $true)) ) | ~spl0_1),
% 0.20/0.43 inference(superposition,[],[f14,f29])).
% 0.20/0.43 thf(f433,plain,(
% 0.20/0.43 ~spl0_7 | ~spl0_9 | ~spl0_15),
% 0.20/0.43 inference(avatar_split_clause,[],[f276,f90,f63,f54])).
% 0.20/0.43 thf(f63,plain,(
% 0.20/0.43 spl0_9 <=> ((cG @ cB @ cD) = $true)),
% 0.20/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.20/0.43 thf(f276,plain,(
% 0.20/0.43 ((cG @ cB @ cE) != $true) | (~spl0_9 | ~spl0_15)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f273])).
% 0.20/0.43 thf(f273,plain,(
% 0.20/0.43 ((cG @ cB @ cE) != $true) | ($true != $true) | (~spl0_9 | ~spl0_15)),
% 0.20/0.43 inference(superposition,[],[f191,f92])).
% 0.20/0.43 thf(f191,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cB @ X0) != $true)) ) | ~spl0_9),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f176])).
% 0.20/0.43 thf(f176,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cB @ X0) != $true) | ($true != (cG @ cD @ X0)) | ($true != $true)) ) | ~spl0_9),
% 0.20/0.43 inference(superposition,[],[f15,f65])).
% 0.20/0.43 thf(f65,plain,(
% 0.20/0.43 ((cG @ cB @ cD) = $true) | ~spl0_9),
% 0.20/0.43 inference(avatar_component_clause,[],[f63])).
% 0.20/0.43 thf(f432,plain,(
% 0.20/0.43 ~spl0_26 | ~spl0_28 | ~spl0_30),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f431])).
% 0.20/0.43 thf(f431,plain,(
% 0.20/0.43 $false | (~spl0_26 | ~spl0_28 | ~spl0_30)),
% 0.20/0.43 inference(subsumption_resolution,[],[f429,f150])).
% 0.20/0.43 thf(f429,plain,(
% 0.20/0.43 ((cR @ cB @ cF) != $true) | (~spl0_26 | ~spl0_30)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f427])).
% 0.20/0.43 thf(f427,plain,(
% 0.20/0.43 ($true != $true) | ((cR @ cB @ cF) != $true) | (~spl0_26 | ~spl0_30)),
% 0.20/0.43 inference(superposition,[],[f377,f141])).
% 0.20/0.43 thf(f141,plain,(
% 0.20/0.43 ((cR @ cA @ cB) = $true) | ~spl0_26),
% 0.20/0.43 inference(avatar_component_clause,[],[f139])).
% 0.20/0.43 thf(f139,plain,(
% 0.20/0.43 spl0_26 <=> ((cR @ cA @ cB) = $true)),
% 0.20/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.20/0.43 thf(f377,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_30),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f376])).
% 0.20/0.43 thf(f376,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cF) != $true) | ($true != $true)) ) | ~spl0_30),
% 0.20/0.43 inference(superposition,[],[f14,f159])).
% 0.20/0.43 thf(f398,plain,(
% 0.20/0.43 ~spl0_3 | ~spl0_6 | ~spl0_28),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f397])).
% 0.20/0.43 thf(f397,plain,(
% 0.20/0.43 $false | (~spl0_3 | ~spl0_6 | ~spl0_28)),
% 0.20/0.43 inference(subsumption_resolution,[],[f396,f38])).
% 0.20/0.43 thf(f396,plain,(
% 0.20/0.43 ((cR @ cC @ cF) != $true) | (~spl0_6 | ~spl0_28)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f391])).
% 0.20/0.43 thf(f391,plain,(
% 0.20/0.43 ((cR @ cC @ cF) != $true) | ($true != $true) | (~spl0_6 | ~spl0_28)),
% 0.20/0.43 inference(superposition,[],[f280,f51])).
% 0.20/0.43 thf(f280,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cB @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_28),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f279])).
% 0.20/0.43 thf(f279,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cB @ X0) != $true) | ($true != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_28),
% 0.20/0.43 inference(superposition,[],[f14,f150])).
% 0.20/0.43 thf(f386,plain,(
% 0.20/0.43 ~spl0_17 | ~spl0_14 | ~spl0_22),
% 0.20/0.43 inference(avatar_split_clause,[],[f383,f121,f85,f99])).
% 0.20/0.43 thf(f383,plain,(
% 0.20/0.43 ((cR @ cC @ cD) != $true) | (~spl0_14 | ~spl0_22)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f380])).
% 0.20/0.43 thf(f380,plain,(
% 0.20/0.43 ((cR @ cC @ cD) != $true) | ($true != $true) | (~spl0_14 | ~spl0_22)),
% 0.20/0.43 inference(superposition,[],[f290,f87])).
% 0.20/0.43 thf(f290,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cD) != $true)) ) | ~spl0_22),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f289])).
% 0.20/0.43 thf(f289,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cD) != $true) | ($true != $true)) ) | ~spl0_22),
% 0.20/0.43 inference(superposition,[],[f14,f123])).
% 0.20/0.43 thf(f365,plain,(
% 0.20/0.43 ~spl0_1 | ~spl0_6 | ~spl0_8),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f364])).
% 0.20/0.43 thf(f364,plain,(
% 0.20/0.43 $false | (~spl0_1 | ~spl0_6 | ~spl0_8)),
% 0.20/0.43 inference(subsumption_resolution,[],[f363,f29])).
% 0.20/0.43 thf(f363,plain,(
% 0.20/0.43 ((cR @ cC @ cE) != $true) | (~spl0_6 | ~spl0_8)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f359])).
% 0.20/0.43 thf(f359,plain,(
% 0.20/0.43 ($true != $true) | ((cR @ cC @ cE) != $true) | (~spl0_6 | ~spl0_8)),
% 0.20/0.43 inference(superposition,[],[f238,f51])).
% 0.20/0.43 thf(f238,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cB @ X0) != $true) | ((cR @ X0 @ cE) != $true)) ) | ~spl0_8),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f237])).
% 0.20/0.43 thf(f237,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != $true) | ((cR @ X0 @ cE) != $true) | ((cR @ cB @ X0) != $true)) ) | ~spl0_8),
% 0.20/0.43 inference(superposition,[],[f14,f60])).
% 0.20/0.43 thf(f353,plain,(
% 0.20/0.43 ~spl0_2 | ~spl0_4 | ~spl0_23),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f352])).
% 0.20/0.43 thf(f352,plain,(
% 0.20/0.43 $false | (~spl0_2 | ~spl0_4 | ~spl0_23)),
% 0.20/0.43 inference(subsumption_resolution,[],[f350,f128])).
% 0.20/0.43 thf(f350,plain,(
% 0.20/0.43 ((cG @ cE @ cF) != $true) | (~spl0_2 | ~spl0_4)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f348])).
% 0.20/0.43 thf(f348,plain,(
% 0.20/0.43 ((cG @ cE @ cF) != $true) | ($true != $true) | (~spl0_2 | ~spl0_4)),
% 0.20/0.43 inference(superposition,[],[f186,f42])).
% 0.20/0.43 thf(f186,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cC @ X0) != $true) | ((cG @ cE @ X0) != $true)) ) | ~spl0_2),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f173])).
% 0.20/0.43 thf(f173,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != $true) | ((cG @ cC @ X0) != $true) | ((cG @ cE @ X0) != $true)) ) | ~spl0_2),
% 0.20/0.43 inference(superposition,[],[f15,f33])).
% 0.20/0.43 thf(f347,plain,(
% 0.20/0.43 ~spl0_24 | ~spl0_8 | ~spl0_28),
% 0.20/0.43 inference(avatar_split_clause,[],[f343,f148,f58,f130])).
% 0.20/0.43 thf(f343,plain,(
% 0.20/0.43 ((cR @ cE @ cF) != $true) | (~spl0_8 | ~spl0_28)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f341])).
% 0.20/0.43 thf(f341,plain,(
% 0.20/0.43 ($true != $true) | ((cR @ cE @ cF) != $true) | (~spl0_8 | ~spl0_28)),
% 0.20/0.43 inference(superposition,[],[f280,f60])).
% 0.20/0.43 thf(f336,plain,(
% 0.20/0.43 ~spl0_8 | ~spl0_20 | ~spl0_26),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f335])).
% 0.20/0.43 thf(f335,plain,(
% 0.20/0.43 $false | (~spl0_8 | ~spl0_20 | ~spl0_26)),
% 0.20/0.43 inference(subsumption_resolution,[],[f329,f60])).
% 0.20/0.43 thf(f329,plain,(
% 0.20/0.43 ((cR @ cB @ cE) != $true) | (~spl0_20 | ~spl0_26)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f328])).
% 0.20/0.43 thf(f328,plain,(
% 0.20/0.43 ((cR @ cB @ cE) != $true) | ($true != $true) | (~spl0_20 | ~spl0_26)),
% 0.20/0.43 inference(superposition,[],[f262,f141])).
% 0.20/0.43 thf(f262,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cE) != $true)) ) | ~spl0_20),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f261])).
% 0.20/0.43 thf(f261,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cE) != $true) | ($true != $true)) ) | ~spl0_20),
% 0.20/0.43 inference(superposition,[],[f14,f114])).
% 0.20/0.43 thf(f114,plain,(
% 0.20/0.43 ((cR @ cA @ cE) = $true) | ~spl0_20),
% 0.20/0.43 inference(avatar_component_clause,[],[f112])).
% 0.20/0.43 thf(f112,plain,(
% 0.20/0.43 spl0_20 <=> ((cR @ cA @ cE) = $true)),
% 0.20/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
% 0.20/0.43 thf(f334,plain,(
% 0.20/0.43 ~spl0_16 | ~spl0_20 | ~spl0_22),
% 0.20/0.43 inference(avatar_split_clause,[],[f331,f121,f112,f94])).
% 0.20/0.43 thf(f331,plain,(
% 0.20/0.43 ((cR @ cD @ cE) != $true) | (~spl0_20 | ~spl0_22)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f326])).
% 0.20/0.43 thf(f326,plain,(
% 0.20/0.43 ((cR @ cD @ cE) != $true) | ($true != $true) | (~spl0_20 | ~spl0_22)),
% 0.20/0.43 inference(superposition,[],[f262,f123])).
% 0.20/0.43 thf(f333,plain,(
% 0.20/0.43 ~spl0_1 | ~spl0_14 | ~spl0_20),
% 0.20/0.43 inference(avatar_split_clause,[],[f332,f112,f85,f27])).
% 0.20/0.43 thf(f332,plain,(
% 0.20/0.43 ((cR @ cC @ cE) != $true) | (~spl0_14 | ~spl0_20)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f327])).
% 0.20/0.43 thf(f327,plain,(
% 0.20/0.43 ((cR @ cC @ cE) != $true) | ($true != $true) | (~spl0_14 | ~spl0_20)),
% 0.20/0.43 inference(superposition,[],[f262,f87])).
% 0.20/0.43 thf(f324,plain,(
% 0.20/0.43 ~spl0_6 | ~spl0_14 | ~spl0_26),
% 0.20/0.43 inference(avatar_split_clause,[],[f321,f139,f85,f49])).
% 0.20/0.43 thf(f321,plain,(
% 0.20/0.43 ((cR @ cB @ cC) != $true) | (~spl0_14 | ~spl0_26)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f319])).
% 0.20/0.43 thf(f319,plain,(
% 0.20/0.43 ($true != $true) | ((cR @ cB @ cC) != $true) | (~spl0_14 | ~spl0_26)),
% 0.20/0.43 inference(superposition,[],[f250,f141])).
% 0.20/0.43 thf(f250,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ((cR @ X0 @ cC) != $true)) ) | ~spl0_14),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f249])).
% 0.20/0.43 thf(f249,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cA @ X0) != $true) | ($true != $true) | ((cR @ X0 @ cC) != $true)) ) | ~spl0_14),
% 0.20/0.43 inference(superposition,[],[f14,f87])).
% 0.20/0.43 thf(f297,plain,(
% 0.20/0.43 ~spl0_23 | ~spl0_12 | ~spl0_15),
% 0.20/0.43 inference(avatar_split_clause,[],[f294,f90,f76,f126])).
% 0.20/0.43 thf(f294,plain,(
% 0.20/0.43 ((cG @ cE @ cF) != $true) | (~spl0_12 | ~spl0_15)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f292])).
% 0.20/0.43 thf(f292,plain,(
% 0.20/0.43 ((cG @ cE @ cF) != $true) | ($true != $true) | (~spl0_12 | ~spl0_15)),
% 0.20/0.43 inference(superposition,[],[f194,f78])).
% 0.20/0.43 thf(f194,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cE @ X0) != $true)) ) | ~spl0_15),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f172])).
% 0.20/0.43 thf(f172,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cG @ cD @ X0)) | ((cG @ cE @ X0) != $true)) ) | ~spl0_15),
% 0.20/0.43 inference(superposition,[],[f15,f92])).
% 0.20/0.43 thf(f288,plain,(
% 0.20/0.43 ~spl0_12 | ~spl0_21 | ~spl0_29),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f287])).
% 0.20/0.43 thf(f287,plain,(
% 0.20/0.43 $false | (~spl0_12 | ~spl0_21 | ~spl0_29)),
% 0.20/0.43 inference(subsumption_resolution,[],[f286,f155])).
% 0.20/0.43 thf(f286,plain,(
% 0.20/0.43 ((cG @ cA @ cF) != $true) | (~spl0_12 | ~spl0_21)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f284])).
% 0.20/0.43 thf(f284,plain,(
% 0.20/0.43 ($true != $true) | ((cG @ cA @ cF) != $true) | (~spl0_12 | ~spl0_21)),
% 0.20/0.43 inference(superposition,[],[f193,f78])).
% 0.20/0.43 thf(f193,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != (cG @ cD @ X0)) | ((cG @ cA @ X0) != $true)) ) | ~spl0_21),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f180])).
% 0.20/0.43 thf(f180,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cA @ X0) != $true) | ($true != (cG @ cD @ X0)) | ($true != $true)) ) | ~spl0_21),
% 0.20/0.43 inference(superposition,[],[f15,f119])).
% 0.20/0.43 thf(f278,plain,(
% 0.20/0.43 ~spl0_9 | ~spl0_12 | ~spl0_27),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f277])).
% 0.20/0.43 thf(f277,plain,(
% 0.20/0.43 $false | (~spl0_9 | ~spl0_12 | ~spl0_27)),
% 0.20/0.43 inference(subsumption_resolution,[],[f275,f146])).
% 0.20/0.43 thf(f275,plain,(
% 0.20/0.43 ((cG @ cB @ cF) != $true) | (~spl0_9 | ~spl0_12)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f274])).
% 0.20/0.43 thf(f274,plain,(
% 0.20/0.43 ($true != $true) | ((cG @ cB @ cF) != $true) | (~spl0_9 | ~spl0_12)),
% 0.20/0.43 inference(superposition,[],[f191,f78])).
% 0.20/0.43 thf(f260,plain,(
% 0.20/0.43 ~spl0_19 | ~spl0_23 | ~spl0_29),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f259])).
% 0.20/0.43 thf(f259,plain,(
% 0.20/0.43 $false | (~spl0_19 | ~spl0_23 | ~spl0_29)),
% 0.20/0.43 inference(subsumption_resolution,[],[f258,f128])).
% 0.20/0.43 thf(f258,plain,(
% 0.20/0.43 ((cG @ cE @ cF) != $true) | (~spl0_19 | ~spl0_29)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f253])).
% 0.20/0.43 thf(f253,plain,(
% 0.20/0.43 ((cG @ cE @ cF) != $true) | ($true != $true) | (~spl0_19 | ~spl0_29)),
% 0.20/0.43 inference(superposition,[],[f187,f155])).
% 0.20/0.43 thf(f187,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cA @ X0) != $true) | ((cG @ cE @ X0) != $true)) ) | ~spl0_19),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f179])).
% 0.20/0.43 thf(f179,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cA @ X0) != $true) | ((cG @ cE @ X0) != $true) | ($true != $true)) ) | ~spl0_19),
% 0.20/0.43 inference(superposition,[],[f15,f110])).
% 0.20/0.43 thf(f248,plain,(
% 0.20/0.43 ~spl0_2 | ~spl0_13 | ~spl0_19),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f247])).
% 0.20/0.43 thf(f247,plain,(
% 0.20/0.43 $false | (~spl0_2 | ~spl0_13 | ~spl0_19)),
% 0.20/0.43 inference(subsumption_resolution,[],[f245,f33])).
% 0.20/0.43 thf(f245,plain,(
% 0.20/0.43 ((cG @ cC @ cE) != $true) | (~spl0_13 | ~spl0_19)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f240])).
% 0.20/0.43 thf(f240,plain,(
% 0.20/0.43 ($true != $true) | ((cG @ cC @ cE) != $true) | (~spl0_13 | ~spl0_19)),
% 0.20/0.43 inference(superposition,[],[f185,f110])).
% 0.20/0.43 thf(f185,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cA @ X0) != $true) | ((cG @ cC @ X0) != $true)) ) | ~spl0_13),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f181])).
% 0.20/0.43 thf(f181,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != $true) | ((cG @ cC @ X0) != $true) | ((cG @ cA @ X0) != $true)) ) | ~spl0_13),
% 0.20/0.43 inference(superposition,[],[f15,f83])).
% 0.20/0.43 thf(f236,plain,(
% 0.20/0.43 ~spl0_2 | ~spl0_5 | ~spl0_7),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f235])).
% 0.20/0.43 thf(f235,plain,(
% 0.20/0.43 $false | (~spl0_2 | ~spl0_5 | ~spl0_7)),
% 0.20/0.43 inference(subsumption_resolution,[],[f229,f33])).
% 0.20/0.43 thf(f229,plain,(
% 0.20/0.43 ((cG @ cC @ cE) != $true) | (~spl0_5 | ~spl0_7)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f226])).
% 0.20/0.43 thf(f226,plain,(
% 0.20/0.43 ($true != $true) | ((cG @ cC @ cE) != $true) | (~spl0_5 | ~spl0_7)),
% 0.20/0.43 inference(superposition,[],[f184,f56])).
% 0.20/0.43 thf(f184,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cB @ X0) != $true) | ((cG @ cC @ X0) != $true)) ) | ~spl0_5),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f177])).
% 0.20/0.43 thf(f177,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cB @ X0) != $true) | ((cG @ cC @ X0) != $true) | ($true != $true)) ) | ~spl0_5),
% 0.20/0.43 inference(superposition,[],[f15,f47])).
% 0.20/0.43 thf(f47,plain,(
% 0.20/0.43 ((cG @ cB @ cC) = $true) | ~spl0_5),
% 0.20/0.43 inference(avatar_component_clause,[],[f45])).
% 0.20/0.43 thf(f45,plain,(
% 0.20/0.43 spl0_5 <=> ((cG @ cB @ cC) = $true)),
% 0.20/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.20/0.43 thf(f234,plain,(
% 0.20/0.43 ~spl0_18 | ~spl0_5 | ~spl0_9),
% 0.20/0.43 inference(avatar_split_clause,[],[f230,f63,f45,f103])).
% 0.20/0.43 thf(f230,plain,(
% 0.20/0.43 ((cG @ cC @ cD) != $true) | (~spl0_5 | ~spl0_9)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f227])).
% 0.20/0.43 thf(f227,plain,(
% 0.20/0.43 ((cG @ cC @ cD) != $true) | ($true != $true) | (~spl0_5 | ~spl0_9)),
% 0.20/0.43 inference(superposition,[],[f184,f65])).
% 0.20/0.43 thf(f233,plain,(
% 0.20/0.43 ~spl0_4 | ~spl0_5 | ~spl0_27),
% 0.20/0.43 inference(avatar_split_clause,[],[f231,f144,f45,f40])).
% 0.20/0.43 thf(f231,plain,(
% 0.20/0.43 ((cG @ cC @ cF) != $true) | (~spl0_5 | ~spl0_27)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f225])).
% 0.20/0.43 thf(f225,plain,(
% 0.20/0.43 ($true != $true) | ((cG @ cC @ cF) != $true) | (~spl0_5 | ~spl0_27)),
% 0.20/0.43 inference(superposition,[],[f184,f146])).
% 0.20/0.43 thf(f222,plain,(
% 0.20/0.43 ~spl0_9 | ~spl0_21 | ~spl0_25),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f221])).
% 0.20/0.43 thf(f221,plain,(
% 0.20/0.43 $false | (~spl0_9 | ~spl0_21 | ~spl0_25)),
% 0.20/0.43 inference(subsumption_resolution,[],[f210,f65])).
% 0.20/0.43 thf(f210,plain,(
% 0.20/0.43 ((cG @ cB @ cD) != $true) | (~spl0_21 | ~spl0_25)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f207])).
% 0.20/0.43 thf(f207,plain,(
% 0.20/0.43 ((cG @ cB @ cD) != $true) | ($true != $true) | (~spl0_21 | ~spl0_25)),
% 0.20/0.43 inference(superposition,[],[f183,f119])).
% 0.20/0.43 thf(f183,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cG @ cA @ X0) != $true) | ((cG @ cB @ X0) != $true)) ) | ~spl0_25),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f182])).
% 0.20/0.43 thf(f182,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != $true) | ((cG @ cA @ X0) != $true) | ((cG @ cB @ X0) != $true)) ) | ~spl0_25),
% 0.20/0.43 inference(superposition,[],[f15,f137])).
% 0.20/0.43 thf(f137,plain,(
% 0.20/0.43 ((cG @ cA @ cB) = $true) | ~spl0_25),
% 0.20/0.43 inference(avatar_component_clause,[],[f135])).
% 0.20/0.43 thf(f135,plain,(
% 0.20/0.43 spl0_25 <=> ((cG @ cA @ cB) = $true)),
% 0.20/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.20/0.43 thf(f220,plain,(
% 0.20/0.43 ~spl0_25 | ~spl0_27 | ~spl0_29),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f219])).
% 0.20/0.43 thf(f219,plain,(
% 0.20/0.43 $false | (~spl0_25 | ~spl0_27 | ~spl0_29)),
% 0.20/0.43 inference(subsumption_resolution,[],[f211,f146])).
% 0.20/0.43 thf(f211,plain,(
% 0.20/0.43 ((cG @ cB @ cF) != $true) | (~spl0_25 | ~spl0_29)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f205])).
% 0.20/0.43 thf(f205,plain,(
% 0.20/0.43 ((cG @ cB @ cF) != $true) | ($true != $true) | (~spl0_25 | ~spl0_29)),
% 0.20/0.43 inference(superposition,[],[f183,f155])).
% 0.20/0.43 thf(f218,plain,(
% 0.20/0.43 ~spl0_5 | ~spl0_13 | ~spl0_25),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f217])).
% 0.20/0.43 thf(f217,plain,(
% 0.20/0.43 $false | (~spl0_5 | ~spl0_13 | ~spl0_25)),
% 0.20/0.43 inference(subsumption_resolution,[],[f213,f47])).
% 0.20/0.43 thf(f213,plain,(
% 0.20/0.43 ((cG @ cB @ cC) != $true) | (~spl0_13 | ~spl0_25)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f208])).
% 0.20/0.43 thf(f208,plain,(
% 0.20/0.43 ($true != $true) | ((cG @ cB @ cC) != $true) | (~spl0_13 | ~spl0_25)),
% 0.20/0.43 inference(superposition,[],[f183,f83])).
% 0.20/0.43 thf(f216,plain,(
% 0.20/0.43 ~spl0_7 | ~spl0_19 | ~spl0_25),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f215])).
% 0.20/0.43 thf(f215,plain,(
% 0.20/0.43 $false | (~spl0_7 | ~spl0_19 | ~spl0_25)),
% 0.20/0.43 inference(subsumption_resolution,[],[f214,f56])).
% 0.20/0.43 thf(f214,plain,(
% 0.20/0.43 ((cG @ cB @ cE) != $true) | (~spl0_19 | ~spl0_25)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f206])).
% 0.20/0.43 thf(f206,plain,(
% 0.20/0.43 ((cG @ cB @ cE) != $true) | ($true != $true) | (~spl0_19 | ~spl0_25)),
% 0.20/0.43 inference(superposition,[],[f183,f110])).
% 0.20/0.43 thf(f202,plain,(
% 0.20/0.43 ~spl0_3 | ~spl0_11 | ~spl0_17),
% 0.20/0.43 inference(avatar_contradiction_clause,[],[f201])).
% 0.20/0.43 thf(f201,plain,(
% 0.20/0.43 $false | (~spl0_3 | ~spl0_11 | ~spl0_17)),
% 0.20/0.43 inference(subsumption_resolution,[],[f199,f74])).
% 0.20/0.43 thf(f199,plain,(
% 0.20/0.43 ((cR @ cD @ cF) != $true) | (~spl0_3 | ~spl0_17)),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f198])).
% 0.20/0.43 thf(f198,plain,(
% 0.20/0.43 ((cR @ cD @ cF) != $true) | ($true != $true) | (~spl0_3 | ~spl0_17)),
% 0.20/0.43 inference(superposition,[],[f166,f101])).
% 0.20/0.43 thf(f166,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (((cR @ cC @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_3),
% 0.20/0.43 inference(trivial_inequality_removal,[],[f162])).
% 0.20/0.43 thf(f162,plain,(
% 0.20/0.43 ( ! [X0 : $i] : (($true != $true) | ((cR @ cC @ X0) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_3),
% 0.20/0.43 inference(superposition,[],[f14,f38])).
% 0.20/0.43 thf(f160,plain,(
% 0.20/0.43 spl0_29 | spl0_30),
% 0.20/0.43 inference(avatar_split_clause,[],[f22,f157,f153])).
% 0.20/0.43 thf(f22,plain,(
% 0.20/0.43 ((cG @ cA @ cF) = $true) | ((cR @ cA @ cF) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f151,plain,(
% 0.20/0.43 spl0_27 | spl0_28),
% 0.20/0.43 inference(avatar_split_clause,[],[f24,f148,f144])).
% 0.20/0.43 thf(f24,plain,(
% 0.20/0.43 ((cG @ cB @ cF) = $true) | ((cR @ cB @ cF) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f142,plain,(
% 0.20/0.43 spl0_25 | spl0_26),
% 0.20/0.43 inference(avatar_split_clause,[],[f20,f139,f135])).
% 0.20/0.43 thf(f20,plain,(
% 0.20/0.43 ((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f133,plain,(
% 0.20/0.43 spl0_23 | spl0_24),
% 0.20/0.43 inference(avatar_split_clause,[],[f25,f130,f126])).
% 0.20/0.43 thf(f25,plain,(
% 0.20/0.43 ((cR @ cE @ cF) = $true) | ((cG @ cE @ cF) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f124,plain,(
% 0.20/0.43 spl0_21 | spl0_22),
% 0.20/0.43 inference(avatar_split_clause,[],[f11,f121,f117])).
% 0.20/0.43 thf(f11,plain,(
% 0.20/0.43 ((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f115,plain,(
% 0.20/0.43 spl0_19 | spl0_20),
% 0.20/0.43 inference(avatar_split_clause,[],[f13,f112,f108])).
% 0.20/0.43 thf(f13,plain,(
% 0.20/0.43 ((cG @ cA @ cE) = $true) | ((cR @ cA @ cE) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f106,plain,(
% 0.20/0.43 spl0_17 | spl0_18),
% 0.20/0.43 inference(avatar_split_clause,[],[f17,f103,f99])).
% 0.20/0.43 thf(f17,plain,(
% 0.20/0.43 ((cR @ cC @ cD) = $true) | ((cG @ cC @ cD) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f97,plain,(
% 0.20/0.43 spl0_15 | spl0_16),
% 0.20/0.43 inference(avatar_split_clause,[],[f9,f94,f90])).
% 0.20/0.43 thf(f9,plain,(
% 0.20/0.43 ((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f88,plain,(
% 0.20/0.43 spl0_13 | spl0_14),
% 0.20/0.43 inference(avatar_split_clause,[],[f23,f85,f81])).
% 0.20/0.43 thf(f23,plain,(
% 0.20/0.43 ((cR @ cA @ cC) = $true) | ((cG @ cA @ cC) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f79,plain,(
% 0.20/0.43 spl0_11 | spl0_12),
% 0.20/0.43 inference(avatar_split_clause,[],[f16,f76,f72])).
% 0.20/0.43 thf(f16,plain,(
% 0.20/0.43 ((cG @ cD @ cF) = $true) | ((cR @ cD @ cF) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f70,plain,(
% 0.20/0.43 spl0_9 | spl0_10),
% 0.20/0.43 inference(avatar_split_clause,[],[f18,f67,f63])).
% 0.20/0.43 thf(f18,plain,(
% 0.20/0.43 ((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f61,plain,(
% 0.20/0.43 spl0_7 | spl0_8),
% 0.20/0.43 inference(avatar_split_clause,[],[f12,f58,f54])).
% 0.20/0.43 thf(f12,plain,(
% 0.20/0.43 ((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f52,plain,(
% 0.20/0.43 spl0_5 | spl0_6),
% 0.20/0.43 inference(avatar_split_clause,[],[f19,f49,f45])).
% 0.20/0.43 thf(f19,plain,(
% 0.20/0.43 ((cG @ cB @ cC) = $true) | ((cR @ cB @ cC) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f43,plain,(
% 0.20/0.43 spl0_3 | spl0_4),
% 0.20/0.43 inference(avatar_split_clause,[],[f21,f40,f36])).
% 0.20/0.43 thf(f21,plain,(
% 0.20/0.43 ((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 thf(f34,plain,(
% 0.20/0.43 spl0_1 | spl0_2),
% 0.20/0.43 inference(avatar_split_clause,[],[f10,f31,f27])).
% 0.20/0.43 thf(f10,plain,(
% 0.20/0.43 ((cG @ cC @ cE) = $true) | ((cR @ cC @ cE) = $true)),
% 0.20/0.43 inference(cnf_transformation,[],[f8])).
% 0.20/0.43 % SZS output end Proof for theBenchmark
% 0.20/0.43 % (7043)------------------------------
% 0.20/0.43 % (7043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (7043)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (7043)Memory used [KB]: 5756
% 0.20/0.43 % (7043)Time elapsed: 0.056 s
% 0.20/0.43 % (7043)Instructions burned: 77 (million)
% 0.20/0.43 % (7043)------------------------------
% 0.20/0.43 % (7043)------------------------------
% 0.20/0.43 % (7037)Success in time 0.067 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------