TSTP Solution File: SYO179^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 21:01:09 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 09:20:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (13513)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (13512)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)
% 0.12/0.38 % (13514)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)
% 0.12/0.38 % (13511)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)
% 0.12/0.38 % (13515)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)
% 0.12/0.38 % (13516)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (13510)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (13513)Instruction limit reached!
% 0.12/0.38 % (13513)------------------------------
% 0.12/0.38 % (13513)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (13513)Termination reason: Unknown
% 0.12/0.38 % (13513)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (13513)Memory used [KB]: 1023
% 0.12/0.38 % (13513)Time elapsed: 0.004 s
% 0.12/0.38 % (13513)Instructions burned: 2 (million)
% 0.12/0.38 % (13513)------------------------------
% 0.12/0.38 % (13513)------------------------------
% 0.12/0.38 % (13514)Instruction limit reached!
% 0.12/0.38 % (13514)------------------------------
% 0.12/0.38 % (13514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (13514)Termination reason: Unknown
% 0.12/0.38 % (13514)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (13514)Memory used [KB]: 1023
% 0.12/0.38 % (13514)Time elapsed: 0.004 s
% 0.12/0.38 % (13514)Instructions burned: 3 (million)
% 0.12/0.38 % (13514)------------------------------
% 0.12/0.38 % (13514)------------------------------
% 0.12/0.38 % (13511)Instruction limit reached!
% 0.12/0.38 % (13511)------------------------------
% 0.12/0.38 % (13511)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (13511)Termination reason: Unknown
% 0.12/0.38 % (13511)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (13511)Memory used [KB]: 5500
% 0.12/0.38 % (13511)Time elapsed: 0.006 s
% 0.12/0.38 % (13511)Instructions burned: 4 (million)
% 0.12/0.38 % (13511)------------------------------
% 0.12/0.38 % (13511)------------------------------
% 0.21/0.39 % (13516)Instruction limit reached!
% 0.21/0.39 % (13516)------------------------------
% 0.21/0.39 % (13516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (13516)Termination reason: Unknown
% 0.21/0.39 % (13516)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (13516)Memory used [KB]: 5628
% 0.21/0.39 % (13516)Time elapsed: 0.015 s
% 0.21/0.39 % (13516)Instructions burned: 18 (million)
% 0.21/0.39 % (13516)------------------------------
% 0.21/0.39 % (13516)------------------------------
% 0.21/0.39 % (13517)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)
% 0.21/0.39 % (13518)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)
% 0.21/0.40 % (13517)Instruction limit reached!
% 0.21/0.40 % (13517)------------------------------
% 0.21/0.40 % (13517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (13517)Termination reason: Unknown
% 0.21/0.40 % (13517)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (13517)Memory used [KB]: 5500
% 0.21/0.40 % (13517)Time elapsed: 0.004 s
% 0.21/0.40 % (13517)Instructions burned: 3 (million)
% 0.21/0.40 % (13517)------------------------------
% 0.21/0.40 % (13517)------------------------------
% 0.21/0.40 % (13519)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)
% 0.21/0.40 % (13512)Instruction limit reached!
% 0.21/0.40 % (13512)------------------------------
% 0.21/0.40 % (13512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (13512)Termination reason: Unknown
% 0.21/0.40 % (13512)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (13512)Memory used [KB]: 5628
% 0.21/0.40 % (13512)Time elapsed: 0.023 s
% 0.21/0.40 % (13512)Instructions burned: 28 (million)
% 0.21/0.40 % (13512)------------------------------
% 0.21/0.40 % (13512)------------------------------
% 0.21/0.41 % (13520)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)
% 0.21/0.41 % (13519)Instruction limit reached!
% 0.21/0.41 % (13519)------------------------------
% 0.21/0.41 % (13519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (13519)Termination reason: Unknown
% 0.21/0.41 % (13519)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (13519)Memory used [KB]: 5756
% 0.21/0.41 % (13519)Time elapsed: 0.013 s
% 0.21/0.41 % (13519)Instructions burned: 15 (million)
% 0.21/0.41 % (13519)------------------------------
% 0.21/0.41 % (13519)------------------------------
% 0.21/0.41 % (13520)Instruction limit reached!
% 0.21/0.41 % (13520)------------------------------
% 0.21/0.41 % (13520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (13520)Termination reason: Unknown
% 0.21/0.41 % (13520)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (13520)Memory used [KB]: 5500
% 0.21/0.41 % (13520)Time elapsed: 0.004 s
% 0.21/0.41 % (13520)Instructions burned: 3 (million)
% 0.21/0.41 % (13520)------------------------------
% 0.21/0.41 % (13520)------------------------------
% 0.21/0.41 % (13521)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)
% 0.21/0.41 % (13522)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (13518)Instruction limit reached!
% 0.21/0.41 % (13518)------------------------------
% 0.21/0.41 % (13518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (13518)Termination reason: Unknown
% 0.21/0.41 % (13518)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (13518)Memory used [KB]: 5756
% 0.21/0.42 % (13518)Time elapsed: 0.023 s
% 0.21/0.42 % (13518)Instructions burned: 37 (million)
% 0.21/0.42 % (13518)------------------------------
% 0.21/0.42 % (13518)------------------------------
% 0.21/0.42 % (13522)Instruction limit reached!
% 0.21/0.42 % (13522)------------------------------
% 0.21/0.42 % (13522)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13522)Termination reason: Unknown
% 0.21/0.42 % (13522)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (13522)Memory used [KB]: 1023
% 0.21/0.42 % (13522)Time elapsed: 0.008 s
% 0.21/0.42 % (13522)Instructions burned: 8 (million)
% 0.21/0.42 % (13522)------------------------------
% 0.21/0.42 % (13522)------------------------------
% 0.21/0.42 % (13510)First to succeed.
% 0.21/0.42 % (13523)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (13524)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (13524)Instruction limit reached!
% 0.21/0.42 % (13524)------------------------------
% 0.21/0.42 % (13524)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13524)Termination reason: Unknown
% 0.21/0.42 % (13524)Termination phase: Twee Goal Transformation
% 0.21/0.42
% 0.21/0.42 % (13524)Memory used [KB]: 1023
% 0.21/0.42 % (13524)Time elapsed: 0.004 s
% 0.21/0.42 % (13524)Instructions burned: 3 (million)
% 0.21/0.42 % (13524)------------------------------
% 0.21/0.42 % (13524)------------------------------
% 0.21/0.43 % (13510)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% 0.21/0.43 thf(func_def_0, type, cG: $i > $i > $o).
% 0.21/0.43 thf(func_def_1, type, cR: $i > $i > $o).
% 0.21/0.43 thf(f570,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(avatar_sat_refutation,[],[f34,f43,f52,f61,f70,f79,f88,f97,f106,f115,f124,f133,f142,f151,f160,f196,f202,f210,f212,f224,f226,f235,f251,f253,f259,f266,f282,f284,f290,f308,f322,f323,f324,f344,f358,f364,f365,f384,f386,f395,f404,f432,f438,f439,f453,f455,f478,f494,f517,f539,f553,f569])).
% 0.21/0.43 thf(f569,plain,(
% 0.21/0.43 ~spl0_2 | ~spl0_21 | ~spl0_26),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f568])).
% 0.21/0.43 thf(f568,plain,(
% 0.21/0.43 $false | (~spl0_2 | ~spl0_21 | ~spl0_26)),
% 0.21/0.43 inference(subsumption_resolution,[],[f567,f33])).
% 0.21/0.43 thf(f33,plain,(
% 0.21/0.43 ((cG @ cA @ cE) = $true) | ~spl0_2),
% 0.21/0.43 inference(avatar_component_clause,[],[f31])).
% 0.21/0.43 thf(f31,plain,(
% 0.21/0.43 spl0_2 <=> ((cG @ cA @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.21/0.43 thf(f567,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | (~spl0_21 | ~spl0_26)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f566])).
% 0.21/0.43 thf(f566,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | ($true != $true) | (~spl0_21 | ~spl0_26)),
% 0.21/0.43 inference(superposition,[],[f502,f119])).
% 0.21/0.43 thf(f119,plain,(
% 0.21/0.43 ((cG @ cA @ cC) = $true) | ~spl0_21),
% 0.21/0.43 inference(avatar_component_clause,[],[f117])).
% 0.21/0.43 thf(f117,plain,(
% 0.21/0.43 spl0_21 <=> ((cG @ cA @ cC) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.21/0.43 thf(f502,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cC)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_26),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f501])).
% 0.21/0.43 thf(f501,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cG @ X0 @ cE) != $true) | ($true != (cG @ X0 @ cC)) | ($true != $true)) ) | ~spl0_26),
% 0.21/0.43 inference(superposition,[],[f12,f141])).
% 0.21/0.43 thf(f141,plain,(
% 0.21/0.43 ((cG @ cC @ cE) = $true) | ~spl0_26),
% 0.21/0.43 inference(avatar_component_clause,[],[f139])).
% 0.21/0.43 thf(f139,plain,(
% 0.21/0.43 spl0_26 <=> ((cG @ cC @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.21/0.43 thf(f12,plain,(
% 0.21/0.43 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (cG @ X5 @ X4)) | ((cG @ X3 @ X4) != $true) | ($true != (cG @ X3 @ X5))) )),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f8,plain,(
% 0.21/0.43 (((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)) & (((cR @ cD @ cF) = $true) | ((cG @ cD @ cF) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cR @ cA @ cF) = $true) | ((cG @ cA @ cF) = $true)) & (((cG @ cE @ cF) = $true) | ((cR @ cE @ cF) = $true)) & ! [X0,X1,X2] : (((cR @ X0 @ X2) != $true) | ($true != (cR @ X2 @ X1)) | ((cR @ X0 @ X1) != $true)) & (((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cR @ cA @ cE) = $true) | ((cG @ cA @ cE) = $true)) & (((cG @ cC @ cD) = $true) | ((cR @ cC @ cD) = $true)) & (((cG @ cB @ cC) = $true) | ((cR @ cB @ cC) = $true)) & ! [X3,X4,X5] : (((cG @ X3 @ X4) != $true) | ($true != (cG @ X3 @ X5)) | ($true != (cG @ X5 @ X4))) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cR @ cA @ cC) = $true) | ((cG @ cA @ cC) = $true))),
% 0.21/0.43 inference(rectify,[],[f7])).
% 0.21/0.43 thf(f7,plain,(
% 0.21/0.43 (((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)) & (((cR @ cD @ cF) = $true) | ((cG @ cD @ cF) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cR @ cA @ cF) = $true) | ((cG @ cA @ cF) = $true)) & (((cG @ cE @ cF) = $true) | ((cR @ cE @ cF) = $true)) & ! [X5,X3,X4] : (($true != (cR @ X5 @ X4)) | ((cR @ X4 @ X3) != $true) | ($true != (cR @ X5 @ X3))) & (((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cR @ cA @ cE) = $true) | ((cG @ cA @ cE) = $true)) & (((cG @ cC @ cD) = $true) | ((cR @ cC @ cD) = $true)) & (((cG @ cB @ cC) = $true) | ((cR @ cB @ cC) = $true)) & ! [X0,X2,X1] : (((cG @ X0 @ X2) != $true) | ((cG @ X0 @ X1) != $true) | ((cG @ X1 @ X2) != $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cR @ cA @ cC) = $true) | ((cG @ cA @ cC) = $true))),
% 0.21/0.43 inference(flattening,[],[f6])).
% 0.21/0.43 thf(f6,plain,(
% 0.21/0.43 (! [X5,X3,X4] : (($true != (cR @ X5 @ X4)) | ((cR @ X4 @ X3) != $true) | ($true != (cR @ X5 @ X3))) & ! [X0,X2,X1] : (((cG @ X0 @ X2) != $true) | ((cG @ X0 @ X1) != $true) | ((cG @ X1 @ X2) != $true))) & ((((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cG @ cC @ cD) = $true) | ((cR @ cC @ cD) = $true)) & (((cR @ cA @ cC) = $true) | ((cG @ cA @ cC) = $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cR @ cA @ cF) = $true) | ((cG @ cA @ cF) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cR @ cA @ cE) = $true) | ((cG @ cA @ cE) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)) & (((cR @ cD @ cF) = $true) | ((cG @ cD @ cF) = $true)) & (((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cG @ cE @ cF) = $true) | ((cR @ cE @ cF) = $true)) & (((cG @ cB @ cC) = $true) | ((cR @ cB @ cC) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)))),
% 0.21/0.43 inference(ennf_transformation,[],[f5])).
% 0.21/0.43 thf(f5,plain,(
% 0.21/0.43 ~(((((cR @ cC @ cF) = $true) | ((cG @ cC @ cF) = $true)) & (((cG @ cC @ cD) = $true) | ((cR @ cC @ cD) = $true)) & (((cR @ cA @ cC) = $true) | ((cG @ cA @ cC) = $true)) & (((cR @ cB @ cF) = $true) | ((cG @ cB @ cF) = $true)) & (((cG @ cB @ cD) = $true) | ((cR @ cB @ cD) = $true)) & (((cR @ cA @ cF) = $true) | ((cG @ cA @ cF) = $true)) & (((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)) & (((cR @ cA @ cE) = $true) | ((cG @ cA @ cE) = $true)) & (((cG @ cD @ cE) = $true) | ((cR @ cD @ cE) = $true)) & (((cR @ cD @ cF) = $true) | ((cG @ cD @ cF) = $true)) & (((cG @ cB @ cE) = $true) | ((cR @ cB @ cE) = $true)) & (((cR @ cC @ cE) = $true) | ((cG @ cC @ cE) = $true)) & (((cG @ cE @ cF) = $true) | ((cR @ cE @ cF) = $true)) & (((cG @ cB @ cC) = $true) | ((cR @ cB @ cC) = $true)) & (((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true))) => (? [X4,X3,X5] : (($true = (cR @ X5 @ X4)) & ((cR @ X4 @ X3) = $true) & ($true = (cR @ X5 @ X3))) | ? [X0,X1,X2] : (((cG @ X0 @ X1) = $true) & ((cG @ X1 @ X2) = $true) & ((cG @ X0 @ X2) = $true))))),
% 0.21/0.43 inference(fool_elimination,[],[f4])).
% 0.21/0.43 thf(f4,plain,(
% 0.21/0.43 ~((((cG @ cB @ cC) | (cR @ cB @ cC)) & ((cR @ cB @ cE) | (cG @ cB @ cE)) & ((cR @ cA @ cB) | (cG @ cA @ cB)) & ((cR @ cC @ cF) | (cG @ cC @ cF)) & ((cG @ cA @ cC) | (cR @ cA @ cC)) & ((cG @ cB @ cF) | (cR @ cB @ cF)) & ((cR @ cD @ cE) | (cG @ cD @ cE)) & ((cR @ cA @ cF) | (cG @ cA @ cF)) & ((cR @ cA @ cE) | (cG @ cA @ cE)) & ((cG @ cC @ cD) | (cR @ cC @ cD)) & ((cR @ cE @ cF) | (cG @ cE @ cF)) & ((cG @ cB @ cD) | (cR @ cB @ cD)) & ((cR @ cA @ cD) | (cG @ cA @ cD)) & ((cG @ cC @ cE) | (cR @ cC @ cE)) & ((cG @ cD @ cF) | (cR @ cD @ cF))) => (? [X0,X1,X2] : ((cG @ X1 @ X2) & (cG @ X0 @ X2) & (cG @ X0 @ X1)) | ? [X3,X4,X5] : ((cR @ X5 @ X4) & (cR @ X5 @ X3) & (cR @ X4 @ X3))))),
% 0.21/0.43 inference(rectify,[],[f2])).
% 0.21/0.43 thf(f2,negated_conjecture,(
% 0.21/0.43 ~((((cG @ cB @ cC) | (cR @ cB @ cC)) & ((cR @ cB @ cE) | (cG @ cB @ cE)) & ((cR @ cA @ cB) | (cG @ cA @ cB)) & ((cR @ cC @ cF) | (cG @ cC @ cF)) & ((cG @ cA @ cC) | (cR @ cA @ cC)) & ((cG @ cB @ cF) | (cR @ cB @ cF)) & ((cR @ cD @ cE) | (cG @ cD @ cE)) & ((cR @ cA @ cF) | (cG @ cA @ cF)) & ((cR @ cA @ cE) | (cG @ cA @ cE)) & ((cG @ cC @ cD) | (cR @ cC @ cD)) & ((cR @ cE @ cF) | (cG @ cE @ cF)) & ((cG @ cB @ cD) | (cR @ cB @ cD)) & ((cR @ cA @ cD) | (cG @ cA @ cD)) & ((cG @ cC @ cE) | (cR @ cC @ cE)) & ((cG @ cD @ cF) | (cR @ cD @ cF))) => (? [X0,X1,X2] : ((cG @ X1 @ X2) & (cG @ X0 @ X2) & (cG @ X0 @ X1)) | ? [X2,X1,X0] : ((cR @ X0 @ X1) & (cR @ X0 @ X2) & (cR @ X1 @ X2))))),
% 0.21/0.43 inference(negated_conjecture,[],[f1])).
% 0.21/0.43 thf(f1,conjecture,(
% 0.21/0.43 (((cG @ cB @ cC) | (cR @ cB @ cC)) & ((cR @ cB @ cE) | (cG @ cB @ cE)) & ((cR @ cA @ cB) | (cG @ cA @ cB)) & ((cR @ cC @ cF) | (cG @ cC @ cF)) & ((cG @ cA @ cC) | (cR @ cA @ cC)) & ((cG @ cB @ cF) | (cR @ cB @ cF)) & ((cR @ cD @ cE) | (cG @ cD @ cE)) & ((cR @ cA @ cF) | (cG @ cA @ cF)) & ((cR @ cA @ cE) | (cG @ cA @ cE)) & ((cG @ cC @ cD) | (cR @ cC @ cD)) & ((cR @ cE @ cF) | (cG @ cE @ cF)) & ((cG @ cB @ cD) | (cR @ cB @ cD)) & ((cR @ cA @ cD) | (cG @ cA @ cD)) & ((cG @ cC @ cE) | (cR @ cC @ cE)) & ((cG @ cD @ cF) | (cR @ cD @ cF))) => (? [X0,X1,X2] : ((cG @ X1 @ X2) & (cG @ X0 @ X2) & (cG @ X0 @ X1)) | ? [X2,X1,X0] : ((cR @ X0 @ X1) & (cR @ X0 @ X2) & (cR @ X1 @ X2)))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIX_THEOREM_B)).
% 0.21/0.43 thf(f553,plain,(
% 0.21/0.43 ~spl0_11 | ~spl0_20 | ~spl0_22),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f552])).
% 0.21/0.43 thf(f552,plain,(
% 0.21/0.43 $false | (~spl0_11 | ~spl0_20 | ~spl0_22)),
% 0.21/0.43 inference(subsumption_resolution,[],[f551,f123])).
% 0.21/0.43 thf(f123,plain,(
% 0.21/0.43 ((cR @ cA @ cC) = $true) | ~spl0_22),
% 0.21/0.43 inference(avatar_component_clause,[],[f121])).
% 0.21/0.43 thf(f121,plain,(
% 0.21/0.43 spl0_22 <=> ((cR @ cA @ cC) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 0.21/0.43 thf(f551,plain,(
% 0.21/0.43 ((cR @ cA @ cC) != $true) | (~spl0_11 | ~spl0_20)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f550])).
% 0.21/0.43 thf(f550,plain,(
% 0.21/0.43 ((cR @ cA @ cC) != $true) | ($true != $true) | (~spl0_11 | ~spl0_20)),
% 0.21/0.43 inference(superposition,[],[f498,f74])).
% 0.21/0.43 thf(f74,plain,(
% 0.21/0.43 ((cR @ cA @ cB) = $true) | ~spl0_11),
% 0.21/0.43 inference(avatar_component_clause,[],[f72])).
% 0.21/0.43 thf(f72,plain,(
% 0.21/0.43 spl0_11 <=> ((cR @ cA @ cB) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.21/0.43 thf(f498,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cB)) | ((cR @ X0 @ cC) != $true)) ) | ~spl0_20),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f497])).
% 0.21/0.43 thf(f497,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cC) != $true) | ($true != (cR @ X0 @ cB)) | ($true != $true)) ) | ~spl0_20),
% 0.21/0.43 inference(superposition,[],[f17,f114])).
% 0.21/0.43 thf(f114,plain,(
% 0.21/0.43 ((cR @ cB @ cC) = $true) | ~spl0_20),
% 0.21/0.43 inference(avatar_component_clause,[],[f112])).
% 0.21/0.43 thf(f112,plain,(
% 0.21/0.43 spl0_20 <=> ((cR @ cB @ cC) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
% 0.21/0.43 thf(f17,plain,(
% 0.21/0.43 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cR @ X2 @ X1)) | ((cR @ X0 @ X2) != $true) | ((cR @ X0 @ X1) != $true)) )),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f539,plain,(
% 0.21/0.43 ~spl0_12 | ~spl0_14 | ~spl0_18),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f538])).
% 0.21/0.43 thf(f538,plain,(
% 0.21/0.43 $false | (~spl0_12 | ~spl0_14 | ~spl0_18)),
% 0.21/0.43 inference(subsumption_resolution,[],[f537,f87])).
% 0.21/0.43 thf(f87,plain,(
% 0.21/0.43 ((cG @ cA @ cD) = $true) | ~spl0_14),
% 0.21/0.43 inference(avatar_component_clause,[],[f85])).
% 0.21/0.43 thf(f85,plain,(
% 0.21/0.43 spl0_14 <=> ((cG @ cA @ cD) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.21/0.43 thf(f537,plain,(
% 0.21/0.43 ((cG @ cA @ cD) != $true) | (~spl0_12 | ~spl0_18)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f536])).
% 0.21/0.43 thf(f536,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cA @ cD) != $true) | (~spl0_12 | ~spl0_18)),
% 0.21/0.43 inference(superposition,[],[f488,f78])).
% 0.21/0.43 thf(f78,plain,(
% 0.21/0.43 ((cG @ cA @ cB) = $true) | ~spl0_12),
% 0.21/0.43 inference(avatar_component_clause,[],[f76])).
% 0.21/0.43 thf(f76,plain,(
% 0.21/0.43 spl0_12 <=> ((cG @ cA @ cB) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.21/0.43 thf(f488,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cB)) | ($true != (cG @ X0 @ cD))) ) | ~spl0_18),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f487])).
% 0.21/0.43 thf(f487,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ($true != $true) | ($true != (cG @ X0 @ cB))) ) | ~spl0_18),
% 0.21/0.43 inference(superposition,[],[f12,f105])).
% 0.21/0.43 thf(f105,plain,(
% 0.21/0.43 ((cG @ cB @ cD) = $true) | ~spl0_18),
% 0.21/0.43 inference(avatar_component_clause,[],[f103])).
% 0.21/0.43 thf(f103,plain,(
% 0.21/0.43 spl0_18 <=> ((cG @ cB @ cD) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 0.21/0.43 thf(f517,plain,(
% 0.21/0.43 ~spl0_27 | ~spl0_10 | ~spl0_18),
% 0.21/0.43 inference(avatar_split_clause,[],[f514,f103,f67,f144])).
% 0.21/0.43 thf(f144,plain,(
% 0.21/0.43 spl0_27 <=> ((cG @ cB @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 0.21/0.43 thf(f67,plain,(
% 0.21/0.43 spl0_10 <=> ((cG @ cD @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.21/0.43 thf(f514,plain,(
% 0.21/0.43 ((cG @ cB @ cE) != $true) | (~spl0_10 | ~spl0_18)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f513])).
% 0.21/0.43 thf(f513,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cB @ cE) != $true) | (~spl0_10 | ~spl0_18)),
% 0.21/0.43 inference(superposition,[],[f461,f105])).
% 0.21/0.43 thf(f461,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_10),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f460])).
% 0.21/0.43 thf(f460,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ($true != $true) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_10),
% 0.21/0.43 inference(superposition,[],[f12,f69])).
% 0.21/0.43 thf(f69,plain,(
% 0.21/0.43 ((cG @ cD @ cE) = $true) | ~spl0_10),
% 0.21/0.43 inference(avatar_component_clause,[],[f67])).
% 0.21/0.43 thf(f494,plain,(
% 0.21/0.43 ~spl0_4 | ~spl0_5 | ~spl0_21),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f493])).
% 0.21/0.43 thf(f493,plain,(
% 0.21/0.43 $false | (~spl0_4 | ~spl0_5 | ~spl0_21)),
% 0.21/0.43 inference(subsumption_resolution,[],[f492,f47])).
% 0.21/0.43 thf(f47,plain,(
% 0.21/0.43 ((cG @ cA @ cF) = $true) | ~spl0_5),
% 0.21/0.43 inference(avatar_component_clause,[],[f45])).
% 0.21/0.43 thf(f45,plain,(
% 0.21/0.43 spl0_5 <=> ((cG @ cA @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.21/0.43 thf(f492,plain,(
% 0.21/0.43 ((cG @ cA @ cF) != $true) | (~spl0_4 | ~spl0_21)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f489])).
% 0.21/0.43 thf(f489,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cA @ cF) != $true) | (~spl0_4 | ~spl0_21)),
% 0.21/0.43 inference(superposition,[],[f441,f119])).
% 0.21/0.43 thf(f441,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cC)) | ($true != (cG @ X0 @ cF))) ) | ~spl0_4),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f440])).
% 0.21/0.43 thf(f440,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cG @ X0 @ cF)) | ($true != (cG @ X0 @ cC))) ) | ~spl0_4),
% 0.21/0.43 inference(superposition,[],[f12,f42])).
% 0.21/0.43 thf(f42,plain,(
% 0.21/0.43 ((cG @ cC @ cF) = $true) | ~spl0_4),
% 0.21/0.43 inference(avatar_component_clause,[],[f40])).
% 0.21/0.43 thf(f40,plain,(
% 0.21/0.43 spl0_4 <=> ((cG @ cC @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.21/0.43 thf(f478,plain,(
% 0.21/0.43 ~spl0_30 | ~spl0_4 | ~spl0_19),
% 0.21/0.43 inference(avatar_split_clause,[],[f475,f108,f40,f157])).
% 0.21/0.43 thf(f157,plain,(
% 0.21/0.43 spl0_30 <=> ((cG @ cB @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 0.21/0.43 thf(f108,plain,(
% 0.21/0.43 spl0_19 <=> ((cG @ cB @ cC) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 0.21/0.43 thf(f475,plain,(
% 0.21/0.43 ((cG @ cB @ cF) != $true) | (~spl0_4 | ~spl0_19)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f474])).
% 0.21/0.43 thf(f474,plain,(
% 0.21/0.43 ((cG @ cB @ cF) != $true) | ($true != $true) | (~spl0_4 | ~spl0_19)),
% 0.21/0.43 inference(superposition,[],[f441,f110])).
% 0.21/0.43 thf(f110,plain,(
% 0.21/0.43 ((cG @ cB @ cC) = $true) | ~spl0_19),
% 0.21/0.43 inference(avatar_component_clause,[],[f108])).
% 0.21/0.43 thf(f455,plain,(
% 0.21/0.43 ~spl0_9 | ~spl0_15 | ~spl0_25),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f454])).
% 0.21/0.43 thf(f454,plain,(
% 0.21/0.43 $false | (~spl0_9 | ~spl0_15 | ~spl0_25)),
% 0.21/0.43 inference(subsumption_resolution,[],[f447,f137])).
% 0.21/0.43 thf(f137,plain,(
% 0.21/0.43 ((cR @ cC @ cE) = $true) | ~spl0_25),
% 0.21/0.43 inference(avatar_component_clause,[],[f135])).
% 0.21/0.43 thf(f135,plain,(
% 0.21/0.43 spl0_25 <=> ((cR @ cC @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.21/0.43 thf(f447,plain,(
% 0.21/0.43 ((cR @ cC @ cE) != $true) | (~spl0_9 | ~spl0_15)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f444])).
% 0.21/0.43 thf(f444,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cC @ cE) != $true) | (~spl0_9 | ~spl0_15)),
% 0.21/0.43 inference(superposition,[],[f410,f92])).
% 0.21/0.43 thf(f92,plain,(
% 0.21/0.43 ((cR @ cC @ cD) = $true) | ~spl0_15),
% 0.21/0.43 inference(avatar_component_clause,[],[f90])).
% 0.21/0.43 thf(f90,plain,(
% 0.21/0.43 spl0_15 <=> ((cR @ cC @ cD) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.21/0.43 thf(f410,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cD)) | ($true != (cR @ X0 @ cE))) ) | ~spl0_9),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f409])).
% 0.21/0.43 thf(f409,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cR @ X0 @ cD)) | ($true != (cR @ X0 @ cE))) ) | ~spl0_9),
% 0.21/0.43 inference(superposition,[],[f17,f65])).
% 0.21/0.43 thf(f65,plain,(
% 0.21/0.43 ((cR @ cD @ cE) = $true) | ~spl0_9),
% 0.21/0.43 inference(avatar_component_clause,[],[f63])).
% 0.21/0.43 thf(f63,plain,(
% 0.21/0.43 spl0_9 <=> ((cR @ cD @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.21/0.43 thf(f453,plain,(
% 0.21/0.43 ~spl0_19 | ~spl0_26 | ~spl0_27),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f452])).
% 0.21/0.43 thf(f452,plain,(
% 0.21/0.43 $false | (~spl0_19 | ~spl0_26 | ~spl0_27)),
% 0.21/0.43 inference(subsumption_resolution,[],[f451,f146])).
% 0.21/0.43 thf(f146,plain,(
% 0.21/0.43 ((cG @ cB @ cE) = $true) | ~spl0_27),
% 0.21/0.43 inference(avatar_component_clause,[],[f144])).
% 0.21/0.43 thf(f451,plain,(
% 0.21/0.43 ((cG @ cB @ cE) != $true) | (~spl0_19 | ~spl0_26)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f450])).
% 0.21/0.43 thf(f450,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cB @ cE) != $true) | (~spl0_19 | ~spl0_26)),
% 0.21/0.43 inference(superposition,[],[f412,f110])).
% 0.21/0.43 thf(f412,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cC)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_26),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f411])).
% 0.21/0.43 thf(f411,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cG @ X0 @ cE) != $true) | ($true != $true) | ($true != (cG @ X0 @ cC))) ) | ~spl0_26),
% 0.21/0.43 inference(superposition,[],[f12,f141])).
% 0.21/0.43 thf(f439,plain,(
% 0.21/0.43 ~spl0_6 | ~spl0_1 | ~spl0_24),
% 0.21/0.43 inference(avatar_split_clause,[],[f417,f130,f27,f49])).
% 0.21/0.43 thf(f49,plain,(
% 0.21/0.43 spl0_6 <=> ((cR @ cA @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.21/0.43 thf(f27,plain,(
% 0.21/0.43 spl0_1 <=> ((cR @ cA @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.43 thf(f130,plain,(
% 0.21/0.43 spl0_24 <=> ((cR @ cE @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.21/0.43 thf(f417,plain,(
% 0.21/0.43 ((cR @ cA @ cF) != $true) | (~spl0_1 | ~spl0_24)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f415])).
% 0.21/0.43 thf(f415,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cF) != $true) | (~spl0_1 | ~spl0_24)),
% 0.21/0.43 inference(superposition,[],[f373,f29])).
% 0.21/0.43 thf(f29,plain,(
% 0.21/0.43 ((cR @ cA @ cE) = $true) | ~spl0_1),
% 0.21/0.43 inference(avatar_component_clause,[],[f27])).
% 0.21/0.43 thf(f373,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cE)) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_24),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f372])).
% 0.21/0.43 thf(f372,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cE)) | ($true != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_24),
% 0.21/0.43 inference(superposition,[],[f17,f132])).
% 0.21/0.43 thf(f132,plain,(
% 0.21/0.43 ((cR @ cE @ cF) = $true) | ~spl0_24),
% 0.21/0.43 inference(avatar_component_clause,[],[f130])).
% 0.21/0.43 thf(f438,plain,(
% 0.21/0.43 ~spl0_5 | ~spl0_8 | ~spl0_14),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f437])).
% 0.21/0.43 thf(f437,plain,(
% 0.21/0.43 $false | (~spl0_5 | ~spl0_8 | ~spl0_14)),
% 0.21/0.43 inference(subsumption_resolution,[],[f436,f47])).
% 0.21/0.43 thf(f436,plain,(
% 0.21/0.43 ((cG @ cA @ cF) != $true) | (~spl0_8 | ~spl0_14)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f433])).
% 0.21/0.43 thf(f433,plain,(
% 0.21/0.43 ((cG @ cA @ cF) != $true) | ($true != $true) | (~spl0_8 | ~spl0_14)),
% 0.21/0.43 inference(superposition,[],[f369,f87])).
% 0.21/0.43 thf(f369,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ($true != (cG @ X0 @ cF))) ) | ~spl0_8),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f368])).
% 0.21/0.43 thf(f368,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ($true != $true) | ($true != (cG @ X0 @ cF))) ) | ~spl0_8),
% 0.21/0.43 inference(superposition,[],[f12,f60])).
% 0.21/0.43 thf(f60,plain,(
% 0.21/0.43 ((cG @ cD @ cF) = $true) | ~spl0_8),
% 0.21/0.43 inference(avatar_component_clause,[],[f58])).
% 0.21/0.43 thf(f58,plain,(
% 0.21/0.43 spl0_8 <=> ((cG @ cD @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.21/0.43 thf(f432,plain,(
% 0.21/0.43 ~spl0_1 | ~spl0_9 | ~spl0_13),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f431])).
% 0.21/0.43 thf(f431,plain,(
% 0.21/0.43 $false | (~spl0_1 | ~spl0_9 | ~spl0_13)),
% 0.21/0.43 inference(subsumption_resolution,[],[f430,f29])).
% 0.21/0.43 thf(f430,plain,(
% 0.21/0.43 ((cR @ cA @ cE) != $true) | (~spl0_9 | ~spl0_13)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f428])).
% 0.21/0.43 thf(f428,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cE) != $true) | (~spl0_9 | ~spl0_13)),
% 0.21/0.43 inference(superposition,[],[f410,f83])).
% 0.21/0.43 thf(f83,plain,(
% 0.21/0.43 ((cR @ cA @ cD) = $true) | ~spl0_13),
% 0.21/0.43 inference(avatar_component_clause,[],[f81])).
% 0.21/0.43 thf(f81,plain,(
% 0.21/0.43 spl0_13 <=> ((cR @ cA @ cD) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.21/0.43 thf(f404,plain,(
% 0.21/0.43 ~spl0_4 | ~spl0_8 | ~spl0_16),
% 0.21/0.43 inference(avatar_split_clause,[],[f401,f94,f58,f40])).
% 0.21/0.43 thf(f94,plain,(
% 0.21/0.43 spl0_16 <=> ((cG @ cC @ cD) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.21/0.43 thf(f401,plain,(
% 0.21/0.43 ((cG @ cC @ cF) != $true) | (~spl0_8 | ~spl0_16)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f400])).
% 0.21/0.43 thf(f400,plain,(
% 0.21/0.43 ((cG @ cC @ cF) != $true) | ($true != $true) | (~spl0_8 | ~spl0_16)),
% 0.21/0.43 inference(superposition,[],[f369,f96])).
% 0.21/0.43 thf(f96,plain,(
% 0.21/0.43 ((cG @ cC @ cD) = $true) | ~spl0_16),
% 0.21/0.43 inference(avatar_component_clause,[],[f94])).
% 0.21/0.43 thf(f395,plain,(
% 0.21/0.43 ~spl0_20 | ~spl0_25 | ~spl0_28),
% 0.21/0.43 inference(avatar_split_clause,[],[f394,f148,f135,f112])).
% 0.21/0.43 thf(f148,plain,(
% 0.21/0.43 spl0_28 <=> ((cR @ cB @ cE) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 0.21/0.43 thf(f394,plain,(
% 0.21/0.43 ((cR @ cB @ cC) != $true) | (~spl0_25 | ~spl0_28)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f391])).
% 0.21/0.43 thf(f391,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cB @ cC) != $true) | (~spl0_25 | ~spl0_28)),
% 0.21/0.43 inference(superposition,[],[f340,f150])).
% 0.21/0.43 thf(f150,plain,(
% 0.21/0.43 ((cR @ cB @ cE) = $true) | ~spl0_28),
% 0.21/0.43 inference(avatar_component_clause,[],[f148])).
% 0.21/0.43 thf(f340,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cE)) | ((cR @ X0 @ cC) != $true)) ) | ~spl0_25),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f339])).
% 0.21/0.43 thf(f339,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cC) != $true) | ($true != (cR @ X0 @ cE)) | ($true != $true)) ) | ~spl0_25),
% 0.21/0.43 inference(superposition,[],[f17,f137])).
% 0.21/0.43 thf(f386,plain,(
% 0.21/0.43 ~spl0_13 | ~spl0_15 | ~spl0_22),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f385])).
% 0.21/0.43 thf(f385,plain,(
% 0.21/0.43 $false | (~spl0_13 | ~spl0_15 | ~spl0_22)),
% 0.21/0.43 inference(subsumption_resolution,[],[f381,f123])).
% 0.21/0.43 thf(f381,plain,(
% 0.21/0.43 ((cR @ cA @ cC) != $true) | (~spl0_13 | ~spl0_15)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f380])).
% 0.21/0.43 thf(f380,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cC) != $true) | (~spl0_13 | ~spl0_15)),
% 0.21/0.43 inference(superposition,[],[f335,f83])).
% 0.21/0.43 thf(f335,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cD)) | ((cR @ X0 @ cC) != $true)) ) | ~spl0_15),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f334])).
% 0.21/0.43 thf(f334,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cD)) | ((cR @ X0 @ cC) != $true) | ($true != $true)) ) | ~spl0_15),
% 0.21/0.43 inference(superposition,[],[f17,f92])).
% 0.21/0.43 thf(f384,plain,(
% 0.21/0.43 ~spl0_20 | ~spl0_15 | ~spl0_17),
% 0.21/0.43 inference(avatar_split_clause,[],[f382,f99,f90,f112])).
% 0.21/0.43 thf(f99,plain,(
% 0.21/0.43 spl0_17 <=> ((cR @ cB @ cD) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 0.21/0.43 thf(f382,plain,(
% 0.21/0.43 ((cR @ cB @ cC) != $true) | (~spl0_15 | ~spl0_17)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f378])).
% 0.21/0.43 thf(f378,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cB @ cC) != $true) | (~spl0_15 | ~spl0_17)),
% 0.21/0.43 inference(superposition,[],[f335,f101])).
% 0.21/0.43 thf(f101,plain,(
% 0.21/0.43 ((cR @ cB @ cD) = $true) | ~spl0_17),
% 0.21/0.43 inference(avatar_component_clause,[],[f99])).
% 0.21/0.43 thf(f365,plain,(
% 0.21/0.43 ~spl0_5 | ~spl0_12 | ~spl0_30),
% 0.21/0.43 inference(avatar_split_clause,[],[f351,f157,f76,f45])).
% 0.21/0.43 thf(f351,plain,(
% 0.21/0.43 ((cG @ cA @ cF) != $true) | (~spl0_12 | ~spl0_30)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f347])).
% 0.21/0.43 thf(f347,plain,(
% 0.21/0.43 ((cG @ cA @ cF) != $true) | ($true != $true) | (~spl0_12 | ~spl0_30)),
% 0.21/0.43 inference(superposition,[],[f276,f78])).
% 0.21/0.43 thf(f276,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cB)) | ($true != (cG @ X0 @ cF))) ) | ~spl0_30),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f275])).
% 0.21/0.43 thf(f275,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cF)) | ($true != $true) | ($true != (cG @ X0 @ cB))) ) | ~spl0_30),
% 0.21/0.43 inference(superposition,[],[f12,f159])).
% 0.21/0.43 thf(f159,plain,(
% 0.21/0.43 ((cG @ cB @ cF) = $true) | ~spl0_30),
% 0.21/0.43 inference(avatar_component_clause,[],[f157])).
% 0.21/0.43 thf(f364,plain,(
% 0.21/0.43 ~spl0_8 | ~spl0_10 | ~spl0_23),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f363])).
% 0.21/0.43 thf(f363,plain,(
% 0.21/0.43 $false | (~spl0_8 | ~spl0_10 | ~spl0_23)),
% 0.21/0.43 inference(subsumption_resolution,[],[f362,f69])).
% 0.21/0.43 thf(f362,plain,(
% 0.21/0.43 ((cG @ cD @ cE) != $true) | (~spl0_8 | ~spl0_23)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f359])).
% 0.21/0.43 thf(f359,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cD @ cE) != $true) | (~spl0_8 | ~spl0_23)),
% 0.21/0.43 inference(superposition,[],[f292,f60])).
% 0.21/0.43 thf(f292,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cF)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_23),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f291])).
% 0.21/0.43 thf(f291,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cG @ X0 @ cF)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_23),
% 0.21/0.43 inference(superposition,[],[f12,f128])).
% 0.21/0.43 thf(f128,plain,(
% 0.21/0.43 ((cG @ cE @ cF) = $true) | ~spl0_23),
% 0.21/0.43 inference(avatar_component_clause,[],[f126])).
% 0.21/0.43 thf(f126,plain,(
% 0.21/0.43 spl0_23 <=> ((cG @ cE @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 0.21/0.43 thf(f358,plain,(
% 0.21/0.43 ~spl0_6 | ~spl0_7 | ~spl0_13),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f357])).
% 0.21/0.43 thf(f357,plain,(
% 0.21/0.43 $false | (~spl0_6 | ~spl0_7 | ~spl0_13)),
% 0.21/0.43 inference(subsumption_resolution,[],[f356,f51])).
% 0.21/0.43 thf(f51,plain,(
% 0.21/0.43 ((cR @ cA @ cF) = $true) | ~spl0_6),
% 0.21/0.43 inference(avatar_component_clause,[],[f49])).
% 0.21/0.43 thf(f356,plain,(
% 0.21/0.43 ((cR @ cA @ cF) != $true) | (~spl0_7 | ~spl0_13)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f353])).
% 0.21/0.43 thf(f353,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cF) != $true) | (~spl0_7 | ~spl0_13)),
% 0.21/0.43 inference(superposition,[],[f184,f83])).
% 0.21/0.43 thf(f184,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cD)) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_7),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f174])).
% 0.21/0.43 thf(f174,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cF) != $true) | ($true != (cR @ X0 @ cD)) | ($true != $true)) ) | ~spl0_7),
% 0.21/0.43 inference(superposition,[],[f17,f56])).
% 0.21/0.43 thf(f56,plain,(
% 0.21/0.43 ((cR @ cD @ cF) = $true) | ~spl0_7),
% 0.21/0.43 inference(avatar_component_clause,[],[f54])).
% 0.21/0.43 thf(f54,plain,(
% 0.21/0.43 spl0_7 <=> ((cR @ cD @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.21/0.43 thf(f344,plain,(
% 0.21/0.43 ~spl0_1 | ~spl0_11 | ~spl0_28),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f343])).
% 0.21/0.43 thf(f343,plain,(
% 0.21/0.43 $false | (~spl0_1 | ~spl0_11 | ~spl0_28)),
% 0.21/0.43 inference(subsumption_resolution,[],[f342,f29])).
% 0.21/0.43 thf(f342,plain,(
% 0.21/0.43 ((cR @ cA @ cE) != $true) | (~spl0_11 | ~spl0_28)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f341])).
% 0.21/0.43 thf(f341,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cE) != $true) | (~spl0_11 | ~spl0_28)),
% 0.21/0.43 inference(superposition,[],[f314,f74])).
% 0.21/0.43 thf(f314,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cB)) | ($true != (cR @ X0 @ cE))) ) | ~spl0_28),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f312])).
% 0.21/0.43 thf(f312,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cR @ X0 @ cE)) | ($true != (cR @ X0 @ cB))) ) | ~spl0_28),
% 0.21/0.43 inference(superposition,[],[f17,f150])).
% 0.21/0.43 thf(f324,plain,(
% 0.21/0.43 ~spl0_6 | ~spl0_3 | ~spl0_22),
% 0.21/0.43 inference(avatar_split_clause,[],[f274,f121,f36,f49])).
% 0.21/0.43 thf(f36,plain,(
% 0.21/0.43 spl0_3 <=> ((cR @ cC @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.21/0.43 thf(f274,plain,(
% 0.21/0.43 ((cR @ cA @ cF) != $true) | (~spl0_3 | ~spl0_22)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f271])).
% 0.21/0.43 thf(f271,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cF) != $true) | (~spl0_3 | ~spl0_22)),
% 0.21/0.43 inference(superposition,[],[f183,f123])).
% 0.21/0.43 thf(f183,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cC) != $true) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_3),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f173])).
% 0.21/0.43 thf(f173,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cF) != $true) | ((cR @ X0 @ cC) != $true) | ($true != $true)) ) | ~spl0_3),
% 0.21/0.43 inference(superposition,[],[f17,f38])).
% 0.21/0.43 thf(f38,plain,(
% 0.21/0.43 ((cR @ cC @ cF) = $true) | ~spl0_3),
% 0.21/0.43 inference(avatar_component_clause,[],[f36])).
% 0.21/0.43 thf(f323,plain,(
% 0.21/0.43 ~spl0_2 | ~spl0_10 | ~spl0_14),
% 0.21/0.43 inference(avatar_split_clause,[],[f320,f85,f67,f31])).
% 0.21/0.43 thf(f320,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | (~spl0_10 | ~spl0_14)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f318])).
% 0.21/0.43 thf(f318,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cA @ cE) != $true) | (~spl0_10 | ~spl0_14)),
% 0.21/0.43 inference(superposition,[],[f310,f87])).
% 0.21/0.43 thf(f310,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_10),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f309])).
% 0.21/0.43 thf(f309,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cD)) | ((cG @ X0 @ cE) != $true) | ($true != $true)) ) | ~spl0_10),
% 0.21/0.43 inference(superposition,[],[f12,f69])).
% 0.21/0.43 thf(f322,plain,(
% 0.21/0.43 ~spl0_10 | ~spl0_16 | ~spl0_26),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f321])).
% 0.21/0.43 thf(f321,plain,(
% 0.21/0.43 $false | (~spl0_10 | ~spl0_16 | ~spl0_26)),
% 0.21/0.43 inference(subsumption_resolution,[],[f319,f141])).
% 0.21/0.43 thf(f319,plain,(
% 0.21/0.43 ((cG @ cC @ cE) != $true) | (~spl0_10 | ~spl0_16)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f317])).
% 0.21/0.43 thf(f317,plain,(
% 0.21/0.43 ($true != $true) | ((cG @ cC @ cE) != $true) | (~spl0_10 | ~spl0_16)),
% 0.21/0.43 inference(superposition,[],[f310,f96])).
% 0.21/0.43 thf(f308,plain,(
% 0.21/0.43 ~spl0_23 | ~spl0_27 | ~spl0_30),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f307])).
% 0.21/0.43 thf(f307,plain,(
% 0.21/0.43 $false | (~spl0_23 | ~spl0_27 | ~spl0_30)),
% 0.21/0.43 inference(subsumption_resolution,[],[f305,f146])).
% 0.21/0.43 thf(f305,plain,(
% 0.21/0.43 ((cG @ cB @ cE) != $true) | (~spl0_23 | ~spl0_30)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f302])).
% 0.21/0.43 thf(f302,plain,(
% 0.21/0.43 ((cG @ cB @ cE) != $true) | ($true != $true) | (~spl0_23 | ~spl0_30)),
% 0.21/0.43 inference(superposition,[],[f292,f159])).
% 0.21/0.43 thf(f290,plain,(
% 0.21/0.43 ~spl0_1 | ~spl0_22 | ~spl0_25),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f289])).
% 0.21/0.43 thf(f289,plain,(
% 0.21/0.43 $false | (~spl0_1 | ~spl0_22 | ~spl0_25)),
% 0.21/0.43 inference(subsumption_resolution,[],[f288,f123])).
% 0.21/0.43 thf(f288,plain,(
% 0.21/0.43 ((cR @ cA @ cC) != $true) | (~spl0_1 | ~spl0_25)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f285])).
% 0.21/0.43 thf(f285,plain,(
% 0.21/0.43 ((cR @ cA @ cC) != $true) | ($true != $true) | (~spl0_1 | ~spl0_25)),
% 0.21/0.43 inference(superposition,[],[f189,f29])).
% 0.21/0.43 thf(f189,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cE)) | ((cR @ X0 @ cC) != $true)) ) | ~spl0_25),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f177])).
% 0.21/0.43 thf(f177,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cR @ X0 @ cC) != $true) | ($true != (cR @ X0 @ cE)) | ($true != $true)) ) | ~spl0_25),
% 0.21/0.43 inference(superposition,[],[f17,f137])).
% 0.21/0.43 thf(f284,plain,(
% 0.21/0.43 ~spl0_7 | ~spl0_9 | ~spl0_24),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f283])).
% 0.21/0.43 thf(f283,plain,(
% 0.21/0.43 $false | (~spl0_7 | ~spl0_9 | ~spl0_24)),
% 0.21/0.43 inference(subsumption_resolution,[],[f279,f56])).
% 0.21/0.43 thf(f279,plain,(
% 0.21/0.43 ((cR @ cD @ cF) != $true) | (~spl0_9 | ~spl0_24)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f277])).
% 0.21/0.43 thf(f277,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cD @ cF) != $true) | (~spl0_9 | ~spl0_24)),
% 0.21/0.43 inference(superposition,[],[f239,f65])).
% 0.21/0.43 thf(f239,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cE)) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_24),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f238])).
% 0.21/0.43 thf(f238,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ((cR @ X0 @ cF) != $true) | ($true != (cR @ X0 @ cE))) ) | ~spl0_24),
% 0.21/0.43 inference(superposition,[],[f17,f132])).
% 0.21/0.43 thf(f282,plain,(
% 0.21/0.43 ~spl0_3 | ~spl0_24 | ~spl0_25),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f281])).
% 0.21/0.43 thf(f281,plain,(
% 0.21/0.43 $false | (~spl0_3 | ~spl0_24 | ~spl0_25)),
% 0.21/0.43 inference(subsumption_resolution,[],[f280,f38])).
% 0.21/0.43 thf(f280,plain,(
% 0.21/0.43 ((cR @ cC @ cF) != $true) | (~spl0_24 | ~spl0_25)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f278])).
% 0.21/0.43 thf(f278,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cC @ cF) != $true) | (~spl0_24 | ~spl0_25)),
% 0.21/0.43 inference(superposition,[],[f239,f137])).
% 0.21/0.43 thf(f266,plain,(
% 0.21/0.43 ~spl0_28 | ~spl0_9 | ~spl0_17),
% 0.21/0.43 inference(avatar_split_clause,[],[f264,f99,f63,f148])).
% 0.21/0.43 thf(f264,plain,(
% 0.21/0.43 ((cR @ cB @ cE) != $true) | (~spl0_9 | ~spl0_17)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f260])).
% 0.21/0.43 thf(f260,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cB @ cE) != $true) | (~spl0_9 | ~spl0_17)),
% 0.21/0.43 inference(superposition,[],[f187,f101])).
% 0.21/0.43 thf(f187,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cD)) | ($true != (cR @ X0 @ cE))) ) | ~spl0_9),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f176])).
% 0.21/0.43 thf(f176,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cR @ X0 @ cD)) | ($true != (cR @ X0 @ cE))) ) | ~spl0_9),
% 0.21/0.43 inference(superposition,[],[f17,f65])).
% 0.21/0.43 thf(f259,plain,(
% 0.21/0.43 ~spl0_3 | ~spl0_20 | ~spl0_29),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f258])).
% 0.21/0.43 thf(f258,plain,(
% 0.21/0.43 $false | (~spl0_3 | ~spl0_20 | ~spl0_29)),
% 0.21/0.43 inference(subsumption_resolution,[],[f257,f155])).
% 0.21/0.43 thf(f155,plain,(
% 0.21/0.43 ((cR @ cB @ cF) = $true) | ~spl0_29),
% 0.21/0.43 inference(avatar_component_clause,[],[f153])).
% 0.21/0.43 thf(f153,plain,(
% 0.21/0.43 spl0_29 <=> ((cR @ cB @ cF) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.21/0.43 thf(f257,plain,(
% 0.21/0.43 ((cR @ cB @ cF) != $true) | (~spl0_3 | ~spl0_20)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f254])).
% 0.21/0.43 thf(f254,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cB @ cF) != $true) | (~spl0_3 | ~spl0_20)),
% 0.21/0.43 inference(superposition,[],[f183,f114])).
% 0.21/0.43 thf(f253,plain,(
% 0.21/0.43 ~spl0_16 | ~spl0_18 | ~spl0_19),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f252])).
% 0.21/0.43 thf(f252,plain,(
% 0.21/0.43 $false | (~spl0_16 | ~spl0_18 | ~spl0_19)),
% 0.21/0.43 inference(subsumption_resolution,[],[f248,f105])).
% 0.21/0.43 thf(f248,plain,(
% 0.21/0.43 ((cG @ cB @ cD) != $true) | (~spl0_16 | ~spl0_19)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f246])).
% 0.21/0.43 thf(f246,plain,(
% 0.21/0.43 ((cG @ cB @ cD) != $true) | ($true != $true) | (~spl0_16 | ~spl0_19)),
% 0.21/0.43 inference(superposition,[],[f228,f110])).
% 0.21/0.43 thf(f228,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cC)) | ($true != (cG @ X0 @ cD))) ) | ~spl0_16),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f227])).
% 0.21/0.43 thf(f227,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cC)) | ($true != $true) | ($true != (cG @ X0 @ cD))) ) | ~spl0_16),
% 0.21/0.43 inference(superposition,[],[f12,f96])).
% 0.21/0.43 thf(f251,plain,(
% 0.21/0.43 ~spl0_14 | ~spl0_16 | ~spl0_21),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f250])).
% 0.21/0.43 thf(f250,plain,(
% 0.21/0.43 $false | (~spl0_14 | ~spl0_16 | ~spl0_21)),
% 0.21/0.43 inference(subsumption_resolution,[],[f249,f87])).
% 0.21/0.43 thf(f249,plain,(
% 0.21/0.43 ((cG @ cA @ cD) != $true) | (~spl0_16 | ~spl0_21)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f247])).
% 0.21/0.43 thf(f247,plain,(
% 0.21/0.43 ((cG @ cA @ cD) != $true) | ($true != $true) | (~spl0_16 | ~spl0_21)),
% 0.21/0.43 inference(superposition,[],[f228,f119])).
% 0.21/0.43 thf(f235,plain,(
% 0.21/0.43 ~spl0_6 | ~spl0_11 | ~spl0_29),
% 0.21/0.43 inference(avatar_split_clause,[],[f232,f153,f72,f49])).
% 0.21/0.43 thf(f232,plain,(
% 0.21/0.43 ((cR @ cA @ cF) != $true) | (~spl0_11 | ~spl0_29)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f231])).
% 0.21/0.43 thf(f231,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cF) != $true) | (~spl0_11 | ~spl0_29)),
% 0.21/0.43 inference(superposition,[],[f185,f74])).
% 0.21/0.43 thf(f185,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cB)) | ((cR @ X0 @ cF) != $true)) ) | ~spl0_29),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f175])).
% 0.21/0.43 thf(f175,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ((cR @ X0 @ cF) != $true) | ($true != (cR @ X0 @ cB))) ) | ~spl0_29),
% 0.21/0.43 inference(superposition,[],[f17,f155])).
% 0.21/0.43 thf(f226,plain,(
% 0.21/0.43 ~spl0_3 | ~spl0_7 | ~spl0_15),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f225])).
% 0.21/0.43 thf(f225,plain,(
% 0.21/0.43 $false | (~spl0_3 | ~spl0_7 | ~spl0_15)),
% 0.21/0.43 inference(subsumption_resolution,[],[f221,f38])).
% 0.21/0.43 thf(f221,plain,(
% 0.21/0.43 ((cR @ cC @ cF) != $true) | (~spl0_7 | ~spl0_15)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f220])).
% 0.21/0.43 thf(f220,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cC @ cF) != $true) | (~spl0_7 | ~spl0_15)),
% 0.21/0.43 inference(superposition,[],[f184,f92])).
% 0.21/0.43 thf(f224,plain,(
% 0.21/0.43 ~spl0_7 | ~spl0_17 | ~spl0_29),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f223])).
% 0.21/0.43 thf(f223,plain,(
% 0.21/0.43 $false | (~spl0_7 | ~spl0_17 | ~spl0_29)),
% 0.21/0.43 inference(subsumption_resolution,[],[f222,f155])).
% 0.21/0.43 thf(f222,plain,(
% 0.21/0.43 ((cR @ cB @ cF) != $true) | (~spl0_7 | ~spl0_17)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f219])).
% 0.21/0.43 thf(f219,plain,(
% 0.21/0.43 ((cR @ cB @ cF) != $true) | ($true != $true) | (~spl0_7 | ~spl0_17)),
% 0.21/0.43 inference(superposition,[],[f184,f101])).
% 0.21/0.43 thf(f212,plain,(
% 0.21/0.43 ~spl0_2 | ~spl0_12 | ~spl0_27),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f211])).
% 0.21/0.43 thf(f211,plain,(
% 0.21/0.43 $false | (~spl0_2 | ~spl0_12 | ~spl0_27)),
% 0.21/0.43 inference(subsumption_resolution,[],[f207,f33])).
% 0.21/0.43 thf(f207,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | (~spl0_12 | ~spl0_27)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f203])).
% 0.21/0.43 thf(f203,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | ($true != $true) | (~spl0_12 | ~spl0_27)),
% 0.21/0.43 inference(superposition,[],[f169,f78])).
% 0.21/0.43 thf(f169,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cB)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_27),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f165])).
% 0.21/0.43 thf(f165,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cB)) | ((cG @ X0 @ cE) != $true) | ($true != $true)) ) | ~spl0_27),
% 0.21/0.43 inference(superposition,[],[f12,f146])).
% 0.21/0.43 thf(f210,plain,(
% 0.21/0.43 ~spl0_12 | ~spl0_19 | ~spl0_21),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f209])).
% 0.21/0.43 thf(f209,plain,(
% 0.21/0.43 $false | (~spl0_12 | ~spl0_19 | ~spl0_21)),
% 0.21/0.43 inference(subsumption_resolution,[],[f208,f119])).
% 0.21/0.43 thf(f208,plain,(
% 0.21/0.43 ((cG @ cA @ cC) != $true) | (~spl0_12 | ~spl0_19)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f204])).
% 0.21/0.43 thf(f204,plain,(
% 0.21/0.43 ((cG @ cA @ cC) != $true) | ($true != $true) | (~spl0_12 | ~spl0_19)),
% 0.21/0.43 inference(superposition,[],[f167,f78])).
% 0.21/0.43 thf(f167,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cB)) | ($true != (cG @ X0 @ cC))) ) | ~spl0_19),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f164])).
% 0.21/0.43 thf(f164,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cB)) | ($true != (cG @ X0 @ cC)) | ($true != $true)) ) | ~spl0_19),
% 0.21/0.43 inference(superposition,[],[f12,f110])).
% 0.21/0.43 thf(f202,plain,(
% 0.21/0.43 ~spl0_11 | ~spl0_13 | ~spl0_17),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f201])).
% 0.21/0.43 thf(f201,plain,(
% 0.21/0.43 $false | (~spl0_11 | ~spl0_13 | ~spl0_17)),
% 0.21/0.43 inference(subsumption_resolution,[],[f200,f83])).
% 0.21/0.43 thf(f200,plain,(
% 0.21/0.43 ((cR @ cA @ cD) != $true) | (~spl0_11 | ~spl0_17)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f199])).
% 0.21/0.43 thf(f199,plain,(
% 0.21/0.43 ($true != $true) | ((cR @ cA @ cD) != $true) | (~spl0_11 | ~spl0_17)),
% 0.21/0.43 inference(superposition,[],[f182,f74])).
% 0.21/0.43 thf(f182,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cR @ X0 @ cB)) | ($true != (cR @ X0 @ cD))) ) | ~spl0_17),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f180])).
% 0.21/0.43 thf(f180,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != $true) | ($true != (cR @ X0 @ cB)) | ($true != (cR @ X0 @ cD))) ) | ~spl0_17),
% 0.21/0.43 inference(superposition,[],[f17,f101])).
% 0.21/0.43 thf(f196,plain,(
% 0.21/0.43 ~spl0_2 | ~spl0_5 | ~spl0_23),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f195])).
% 0.21/0.43 thf(f195,plain,(
% 0.21/0.43 $false | (~spl0_2 | ~spl0_5 | ~spl0_23)),
% 0.21/0.43 inference(subsumption_resolution,[],[f194,f33])).
% 0.21/0.43 thf(f194,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | (~spl0_5 | ~spl0_23)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f191])).
% 0.21/0.43 thf(f191,plain,(
% 0.21/0.43 ((cG @ cA @ cE) != $true) | ($true != $true) | (~spl0_5 | ~spl0_23)),
% 0.21/0.43 inference(superposition,[],[f171,f47])).
% 0.21/0.43 thf(f171,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (($true != (cG @ X0 @ cF)) | ((cG @ X0 @ cE) != $true)) ) | ~spl0_23),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f166])).
% 0.21/0.43 thf(f166,plain,(
% 0.21/0.43 ( ! [X0 : $i] : (((cG @ X0 @ cE) != $true) | ($true != (cG @ X0 @ cF)) | ($true != $true)) ) | ~spl0_23),
% 0.21/0.43 inference(superposition,[],[f12,f128])).
% 0.21/0.43 thf(f160,plain,(
% 0.21/0.43 spl0_29 | spl0_30),
% 0.21/0.43 inference(avatar_split_clause,[],[f11,f157,f153])).
% 0.21/0.43 thf(f11,plain,(
% 0.21/0.43 ((cG @ cB @ cF) = $true) | ((cR @ cB @ cF) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f151,plain,(
% 0.21/0.43 spl0_27 | spl0_28),
% 0.21/0.43 inference(avatar_split_clause,[],[f25,f148,f144])).
% 0.21/0.43 thf(f25,plain,(
% 0.21/0.43 ((cR @ cB @ cE) = $true) | ((cG @ cB @ cE) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f142,plain,(
% 0.21/0.43 spl0_25 | spl0_26),
% 0.21/0.43 inference(avatar_split_clause,[],[f10,f139,f135])).
% 0.21/0.43 thf(f10,plain,(
% 0.21/0.43 ((cG @ cC @ cE) = $true) | ((cR @ cC @ cE) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f133,plain,(
% 0.21/0.43 spl0_23 | spl0_24),
% 0.21/0.43 inference(avatar_split_clause,[],[f18,f130,f126])).
% 0.21/0.43 thf(f18,plain,(
% 0.21/0.43 ((cR @ cE @ cF) = $true) | ((cG @ cE @ cF) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f124,plain,(
% 0.21/0.43 spl0_21 | spl0_22),
% 0.21/0.43 inference(avatar_split_clause,[],[f9,f121,f117])).
% 0.21/0.43 thf(f9,plain,(
% 0.21/0.43 ((cR @ cA @ cC) = $true) | ((cG @ cA @ cC) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f115,plain,(
% 0.21/0.43 spl0_19 | spl0_20),
% 0.21/0.43 inference(avatar_split_clause,[],[f13,f112,f108])).
% 0.21/0.43 thf(f13,plain,(
% 0.21/0.43 ((cG @ cB @ cC) = $true) | ((cR @ cB @ cC) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f106,plain,(
% 0.21/0.43 spl0_17 | spl0_18),
% 0.21/0.43 inference(avatar_split_clause,[],[f20,f103,f99])).
% 0.21/0.43 thf(f20,plain,(
% 0.21/0.43 ((cR @ cB @ cD) = $true) | ((cG @ cB @ cD) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f97,plain,(
% 0.21/0.43 spl0_15 | spl0_16),
% 0.21/0.43 inference(avatar_split_clause,[],[f14,f94,f90])).
% 0.21/0.43 thf(f14,plain,(
% 0.21/0.43 ((cR @ cC @ cD) = $true) | ((cG @ cC @ cD) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f88,plain,(
% 0.21/0.43 spl0_13 | spl0_14),
% 0.21/0.43 inference(avatar_split_clause,[],[f23,f85,f81])).
% 0.21/0.43 thf(f23,plain,(
% 0.21/0.43 ((cG @ cA @ cD) = $true) | ((cR @ cA @ cD) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f79,plain,(
% 0.21/0.43 spl0_11 | spl0_12),
% 0.21/0.43 inference(avatar_split_clause,[],[f24,f76,f72])).
% 0.21/0.43 thf(f24,plain,(
% 0.21/0.43 ((cR @ cA @ cB) = $true) | ((cG @ cA @ cB) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f70,plain,(
% 0.21/0.43 spl0_9 | spl0_10),
% 0.21/0.43 inference(avatar_split_clause,[],[f22,f67,f63])).
% 0.21/0.43 thf(f22,plain,(
% 0.21/0.43 ((cR @ cD @ cE) = $true) | ((cG @ cD @ cE) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f61,plain,(
% 0.21/0.43 spl0_7 | spl0_8),
% 0.21/0.43 inference(avatar_split_clause,[],[f21,f58,f54])).
% 0.21/0.43 thf(f21,plain,(
% 0.21/0.43 ((cR @ cD @ cF) = $true) | ((cG @ cD @ cF) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f52,plain,(
% 0.21/0.43 spl0_5 | spl0_6),
% 0.21/0.43 inference(avatar_split_clause,[],[f19,f49,f45])).
% 0.21/0.43 thf(f19,plain,(
% 0.21/0.43 ((cR @ cA @ cF) = $true) | ((cG @ cA @ cF) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f43,plain,(
% 0.21/0.43 spl0_3 | spl0_4),
% 0.21/0.43 inference(avatar_split_clause,[],[f16,f40,f36])).
% 0.21/0.43 thf(f16,plain,(
% 0.21/0.43 ((cG @ cC @ cF) = $true) | ((cR @ cC @ cF) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 thf(f34,plain,(
% 0.21/0.43 spl0_1 | spl0_2),
% 0.21/0.43 inference(avatar_split_clause,[],[f15,f31,f27])).
% 0.21/0.43 thf(f15,plain,(
% 0.21/0.43 ((cG @ cA @ cE) = $true) | ((cR @ cA @ cE) = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f8])).
% 0.21/0.43 % SZS output end Proof for theBenchmark
% 0.21/0.43 % (13510)------------------------------
% 0.21/0.43 % (13510)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (13510)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (13510)Memory used [KB]: 5884
% 0.21/0.43 % (13510)Time elapsed: 0.051 s
% 0.21/0.43 % (13510)Instructions burned: 64 (million)
% 0.21/0.43 % (13510)------------------------------
% 0.21/0.43 % (13510)------------------------------
% 0.21/0.43 % (13509)Success in time 0.072 s
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