TSTP Solution File: SEV235^5 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV235^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n019.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 16:02:24 EDT 2024

% Result   : Theorem 0.24s 0.41s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SEV235^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Jun 21 19:20:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.38  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.38  Running higher-order theorem proving
% 0.14/0.38  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.24/0.40  % (5775)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)
% 0.24/0.40  % (5771)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)
% 0.24/0.40  % (5772)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)
% 0.24/0.40  % (5770)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.24/0.40  % (5776)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)
% 0.24/0.40  % (5773)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.40  % (5777)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.24/0.40  % (5773)Instruction limit reached!
% 0.24/0.40  % (5773)------------------------------
% 0.24/0.40  % (5773)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.40  % (5773)Termination reason: Unknown
% 0.24/0.40  % (5773)Termination phase: Saturation
% 0.24/0.40  
% 0.24/0.40  % (5773)Memory used [KB]: 5500
% 0.24/0.40  % (5773)Time elapsed: 0.004 s
% 0.24/0.40  % (5773)Instructions burned: 2 (million)
% 0.24/0.40  % (5773)------------------------------
% 0.24/0.40  % (5773)------------------------------
% 0.24/0.40  % (5775)Instruction limit reached!
% 0.24/0.40  % (5775)------------------------------
% 0.24/0.40  % (5775)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.40  % (5775)Termination reason: Unknown
% 0.24/0.40  % (5775)Termination phase: Saturation
% 0.24/0.40  
% 0.24/0.40  % (5775)Memory used [KB]: 5500
% 0.24/0.40  % (5775)Time elapsed: 0.004 s
% 0.24/0.40  % (5775)Instructions burned: 2 (million)
% 0.24/0.40  % (5775)------------------------------
% 0.24/0.40  % (5775)------------------------------
% 0.24/0.41  % (5772)First to succeed.
% 0.24/0.41  % (5771)Instruction limit reached!
% 0.24/0.41  % (5771)------------------------------
% 0.24/0.41  % (5771)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41  % (5771)Termination reason: Unknown
% 0.24/0.41  % (5771)Termination phase: Saturation
% 0.24/0.41  
% 0.24/0.41  % (5771)Memory used [KB]: 5500
% 0.24/0.41  % (5771)Time elapsed: 0.007 s
% 0.24/0.41  % (5771)Instructions burned: 5 (million)
% 0.24/0.41  % (5771)------------------------------
% 0.24/0.41  % (5771)------------------------------
% 0.24/0.41  % (5776)Also succeeded, but the first one will report.
% 0.24/0.41  % (5772)Refutation found. Thanks to Tanya!
% 0.24/0.41  % SZS status Theorem for theBenchmark
% 0.24/0.41  % SZS output start Proof for theBenchmark
% 0.24/0.41  thf(func_def_0, type, cE: $i > $o).
% 0.24/0.41  thf(func_def_1, type, cD: $i > $o).
% 0.24/0.41  thf(func_def_3, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.24/0.41  thf(func_def_6, type, sK0: $i > $o).
% 0.24/0.41  thf(f89,plain,(
% 0.24/0.41    $false),
% 0.24/0.41    inference(avatar_sat_refutation,[],[f43,f51,f60,f65,f66,f67,f69,f70,f71,f72,f77,f82,f83,f88])).
% 0.24/0.41  thf(f88,plain,(
% 0.24/0.41    spl4_8 | ~spl4_1 | ~spl4_5),
% 0.24/0.41    inference(avatar_split_clause,[],[f87,f45,f28,f57])).
% 0.24/0.41  thf(f57,plain,(
% 0.24/0.41    spl4_8 <=> ($true = (cE @ sK2))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_8])])).
% 0.24/0.41  thf(f28,plain,(
% 0.24/0.41    spl4_1 <=> ((sK0 @ sK2) = $true)),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.24/0.41  thf(f45,plain,(
% 0.24/0.41    spl4_5 <=> ! [X5] : (($true != (sK0 @ X5)) | ($true = (cE @ X5)))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_5])])).
% 0.24/0.41  thf(f87,plain,(
% 0.24/0.41    ($true = (cE @ sK2)) | (~spl4_1 | ~spl4_5)),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f85])).
% 0.24/0.41  thf(f85,plain,(
% 0.24/0.41    ($true = (cE @ sK2)) | ($true != $true) | (~spl4_1 | ~spl4_5)),
% 0.24/0.41    inference(superposition,[],[f46,f30])).
% 0.24/0.41  thf(f30,plain,(
% 0.24/0.41    ((sK0 @ sK2) = $true) | ~spl4_1),
% 0.24/0.41    inference(avatar_component_clause,[],[f28])).
% 0.24/0.41  thf(f46,plain,(
% 0.24/0.41    ( ! [X5 : $i] : (($true != (sK0 @ X5)) | ($true = (cE @ X5))) ) | ~spl4_5),
% 0.24/0.41    inference(avatar_component_clause,[],[f45])).
% 0.24/0.41  thf(f83,plain,(
% 0.24/0.41    spl4_3 | ~spl4_5 | ~spl4_7),
% 0.24/0.41    inference(avatar_split_clause,[],[f80,f53,f45,f36])).
% 0.24/0.41  thf(f36,plain,(
% 0.24/0.41    spl4_3 <=> ($true = (cE @ sK1))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
% 0.24/0.41  thf(f53,plain,(
% 0.24/0.41    spl4_7 <=> ($true = (sK0 @ sK1))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_7])])).
% 0.24/0.41  thf(f80,plain,(
% 0.24/0.41    ($true = (cE @ sK1)) | (~spl4_5 | ~spl4_7)),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f79])).
% 0.24/0.41  thf(f79,plain,(
% 0.24/0.41    ($true = (cE @ sK1)) | ($true != $true) | (~spl4_5 | ~spl4_7)),
% 0.24/0.41    inference(superposition,[],[f46,f55])).
% 0.24/0.41  thf(f55,plain,(
% 0.24/0.41    ($true = (sK0 @ sK1)) | ~spl4_7),
% 0.24/0.41    inference(avatar_component_clause,[],[f53])).
% 0.24/0.41  thf(f82,plain,(
% 0.24/0.41    spl4_4 | ~spl4_6 | ~spl4_7),
% 0.24/0.41    inference(avatar_split_clause,[],[f81,f53,f48,f40])).
% 0.24/0.41  thf(f40,plain,(
% 0.24/0.41    spl4_4 <=> ($true = (cD @ sK1))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
% 0.24/0.41  thf(f48,plain,(
% 0.24/0.41    spl4_6 <=> ! [X4] : (($true = (cD @ X4)) | ($true != (sK0 @ X4)))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
% 0.24/0.41  thf(f81,plain,(
% 0.24/0.41    ($true = (cD @ sK1)) | (~spl4_6 | ~spl4_7)),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f78])).
% 0.24/0.41  thf(f78,plain,(
% 0.24/0.41    ($true = (cD @ sK1)) | ($true != $true) | (~spl4_6 | ~spl4_7)),
% 0.24/0.41    inference(superposition,[],[f49,f55])).
% 0.24/0.41  thf(f49,plain,(
% 0.24/0.41    ( ! [X4 : $i] : (($true != (sK0 @ X4)) | ($true = (cD @ X4))) ) | ~spl4_6),
% 0.24/0.41    inference(avatar_component_clause,[],[f48])).
% 0.24/0.41  thf(f77,plain,(
% 0.24/0.41    spl4_9 | ~spl4_2 | ~spl4_6),
% 0.24/0.41    inference(avatar_split_clause,[],[f76,f48,f32,f62])).
% 0.24/0.41  thf(f62,plain,(
% 0.24/0.41    spl4_9 <=> ($true = (cD @ sK3))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_9])])).
% 0.24/0.41  thf(f32,plain,(
% 0.24/0.41    spl4_2 <=> ($true = (sK0 @ sK3))),
% 0.24/0.41    introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.24/0.41  thf(f76,plain,(
% 0.24/0.41    ($true = (cD @ sK3)) | (~spl4_2 | ~spl4_6)),
% 0.24/0.41    inference(trivial_inequality_removal,[],[f75])).
% 0.24/0.41  thf(f75,plain,(
% 0.24/0.41    ($true = (cD @ sK3)) | ($true != $true) | (~spl4_2 | ~spl4_6)),
% 0.24/0.41    inference(superposition,[],[f49,f34])).
% 0.24/0.41  thf(f34,plain,(
% 0.24/0.41    ($true = (sK0 @ sK3)) | ~spl4_2),
% 0.24/0.41    inference(avatar_component_clause,[],[f32])).
% 0.24/0.41  thf(f72,plain,(
% 0.24/0.41    spl4_1 | ~spl4_9 | ~spl4_3 | ~spl4_4),
% 0.24/0.41    inference(avatar_split_clause,[],[f26,f40,f36,f62,f28])).
% 0.24/0.41  thf(f26,plain,(
% 0.24/0.41    ($true != (cE @ sK1)) | ($true != (cD @ sK1)) | ($true != (cD @ sK3)) | ((sK0 @ sK2) = $true)),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f14,plain,(
% 0.24/0.41    (((($true != (cE @ sK1)) | ($true != (cD @ sK1))) & ($true = (sK0 @ sK1))) | (((sK0 @ sK2) = $true) & ($true != (cE @ sK2))) | (($true != (cD @ sK3)) & ($true = (sK0 @ sK3)))) & (! [X4] : ((((cE @ X4) = $true) & ($true = (cD @ X4))) | ($true != (sK0 @ X4))) | (! [X5] : (($true != (sK0 @ X5)) | ($true = (cE @ X5))) & ! [X6] : (((cD @ X6) = $true) | ((sK0 @ X6) != $true))))),
% 0.24/0.41    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f13,f12,f11,f10])).
% 0.24/0.41  thf(f10,plain,(
% 0.24/0.41    ? [X0 : $i > $o] : ((? [X1] : ((((cE @ X1) != $true) | ((cD @ X1) != $true)) & ((X0 @ X1) = $true)) | ? [X2] : (($true = (X0 @ X2)) & ($true != (cE @ X2))) | ? [X3] : (((cD @ X3) != $true) & ($true = (X0 @ X3)))) & (! [X4] : ((((cE @ X4) = $true) & ($true = (cD @ X4))) | ($true != (X0 @ X4))) | (! [X5] : (($true != (X0 @ X5)) | ($true = (cE @ X5))) & ! [X6] : (((cD @ X6) = $true) | ($true != (X0 @ X6)))))) => ((? [X1] : ((((cE @ X1) != $true) | ((cD @ X1) != $true)) & ($true = (sK0 @ X1))) | ? [X2] : (($true = (sK0 @ X2)) & ($true != (cE @ X2))) | ? [X3] : (((cD @ X3) != $true) & ($true = (sK0 @ X3)))) & (! [X4] : ((((cE @ X4) = $true) & ($true = (cD @ X4))) | ($true != (sK0 @ X4))) | (! [X5] : (($true != (sK0 @ X5)) | ($true = (cE @ X5))) & ! [X6] : (((cD @ X6) = $true) | ((sK0 @ X6) != $true)))))),
% 0.24/0.41    introduced(choice_axiom,[])).
% 0.24/0.41  thf(f11,plain,(
% 0.24/0.41    ? [X1] : ((((cE @ X1) != $true) | ((cD @ X1) != $true)) & ($true = (sK0 @ X1))) => ((($true != (cE @ sK1)) | ($true != (cD @ sK1))) & ($true = (sK0 @ sK1)))),
% 0.24/0.41    introduced(choice_axiom,[])).
% 0.24/0.41  thf(f12,plain,(
% 0.24/0.41    ? [X2] : (($true = (sK0 @ X2)) & ($true != (cE @ X2))) => (((sK0 @ sK2) = $true) & ($true != (cE @ sK2)))),
% 0.24/0.41    introduced(choice_axiom,[])).
% 0.24/0.41  thf(f13,plain,(
% 0.24/0.41    ? [X3] : (((cD @ X3) != $true) & ($true = (sK0 @ X3))) => (($true != (cD @ sK3)) & ($true = (sK0 @ sK3)))),
% 0.24/0.41    introduced(choice_axiom,[])).
% 0.24/0.41  thf(f9,plain,(
% 0.24/0.41    ? [X0 : $i > $o] : ((? [X1] : ((((cE @ X1) != $true) | ((cD @ X1) != $true)) & ((X0 @ X1) = $true)) | ? [X2] : (($true = (X0 @ X2)) & ($true != (cE @ X2))) | ? [X3] : (((cD @ X3) != $true) & ($true = (X0 @ X3)))) & (! [X4] : ((((cE @ X4) = $true) & ($true = (cD @ X4))) | ($true != (X0 @ X4))) | (! [X5] : (($true != (X0 @ X5)) | ($true = (cE @ X5))) & ! [X6] : (((cD @ X6) = $true) | ($true != (X0 @ X6))))))),
% 0.24/0.41    inference(rectify,[],[f8])).
% 0.24/0.41  thf(f8,plain,(
% 0.24/0.41    ? [X0 : $i > $o] : ((? [X1] : ((((cE @ X1) != $true) | ((cD @ X1) != $true)) & ((X0 @ X1) = $true)) | ? [X3] : (($true = (X0 @ X3)) & ((cE @ X3) != $true)) | ? [X2] : (($true != (cD @ X2)) & ($true = (X0 @ X2)))) & (! [X1] : ((((cE @ X1) = $true) & ((cD @ X1) = $true)) | ((X0 @ X1) != $true)) | (! [X3] : (($true != (X0 @ X3)) | ((cE @ X3) = $true)) & ! [X2] : (($true = (cD @ X2)) | ($true != (X0 @ X2))))))),
% 0.24/0.41    inference(flattening,[],[f7])).
% 0.24/0.41  thf(f7,plain,(
% 0.24/0.41    ? [X0 : $i > $o] : ((? [X1] : ((((cE @ X1) != $true) | ((cD @ X1) != $true)) & ((X0 @ X1) = $true)) | (? [X3] : (($true = (X0 @ X3)) & ((cE @ X3) != $true)) | ? [X2] : (($true != (cD @ X2)) & ($true = (X0 @ X2))))) & (! [X1] : ((((cE @ X1) = $true) & ((cD @ X1) = $true)) | ((X0 @ X1) != $true)) | (! [X3] : (($true != (X0 @ X3)) | ((cE @ X3) = $true)) & ! [X2] : (($true = (cD @ X2)) | ($true != (X0 @ X2))))))),
% 0.24/0.41    inference(nnf_transformation,[],[f6])).
% 0.24/0.41  thf(f6,plain,(
% 0.24/0.41    ? [X0 : $i > $o] : ((! [X3] : (($true != (X0 @ X3)) | ((cE @ X3) = $true)) & ! [X2] : (($true = (cD @ X2)) | ($true != (X0 @ X2)))) <~> ! [X1] : ((((cE @ X1) = $true) & ((cD @ X1) = $true)) | ((X0 @ X1) != $true)))),
% 0.24/0.41    inference(ennf_transformation,[],[f5])).
% 0.24/0.41  thf(f5,plain,(
% 0.24/0.41    ~! [X0 : $i > $o] : (! [X1] : (((X0 @ X1) = $true) => (((cE @ X1) = $true) & ((cD @ X1) = $true))) <=> (! [X2] : (($true = (X0 @ X2)) => ($true = (cD @ X2))) & ! [X3] : (($true = (X0 @ X3)) => ((cE @ X3) = $true))))),
% 0.24/0.41    inference(fool_elimination,[],[f4])).
% 0.24/0.41  thf(f4,plain,(
% 0.24/0.41    ~! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) => ((cD @ X1) & (cE @ X1))) <=> (! [X2] : ((X0 @ X2) => (cD @ X2)) & ! [X3] : ((X0 @ X3) => (cE @ X3))))),
% 0.24/0.41    inference(rectify,[],[f2])).
% 0.24/0.41  thf(f2,negated_conjecture,(
% 0.24/0.41    ~! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) => ((cD @ X1) & (cE @ X1))) <=> (! [X1] : ((X0 @ X1) => (cD @ X1)) & ! [X1] : ((X0 @ X1) => (cE @ X1))))),
% 0.24/0.41    inference(negated_conjecture,[],[f1])).
% 0.24/0.41  thf(f1,conjecture,(
% 0.24/0.41    ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) => ((cD @ X1) & (cE @ X1))) <=> (! [X1] : ((X0 @ X1) => (cD @ X1)) & ! [X1] : ((X0 @ X1) => (cE @ X1))))),
% 0.24/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM46A_pme)).
% 0.24/0.41  thf(f71,plain,(
% 0.24/0.41    spl4_5 | spl4_5),
% 0.24/0.41    inference(avatar_split_clause,[],[f18,f45,f45])).
% 0.24/0.41  thf(f18,plain,(
% 0.24/0.41    ( ! [X4 : $i,X5 : $i] : (($true != (sK0 @ X5)) | ((cE @ X4) = $true) | ($true = (cE @ X5)) | ($true != (sK0 @ X4))) )),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f70,plain,(
% 0.24/0.41    spl4_1 | spl4_2 | spl4_7),
% 0.24/0.41    inference(avatar_split_clause,[],[f21,f53,f32,f28])).
% 0.24/0.41  thf(f21,plain,(
% 0.24/0.41    ($true = (sK0 @ sK1)) | ((sK0 @ sK2) = $true) | ($true = (sK0 @ sK3))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f69,plain,(
% 0.24/0.41    ~spl4_9 | ~spl4_8 | ~spl4_3 | ~spl4_4),
% 0.24/0.41    inference(avatar_split_clause,[],[f24,f40,f36,f57,f62])).
% 0.24/0.41  thf(f24,plain,(
% 0.24/0.41    ($true != (cD @ sK1)) | ($true != (cE @ sK1)) | ($true != (cE @ sK2)) | ($true != (cD @ sK3))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f67,plain,(
% 0.24/0.41    ~spl4_9 | spl4_1 | spl4_7),
% 0.24/0.41    inference(avatar_split_clause,[],[f22,f53,f28,f62])).
% 0.24/0.41  thf(f22,plain,(
% 0.24/0.41    ((sK0 @ sK2) = $true) | ($true = (sK0 @ sK1)) | ($true != (cD @ sK3))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f66,plain,(
% 0.24/0.41    ~spl4_4 | ~spl4_8 | spl4_2 | ~spl4_3),
% 0.24/0.41    inference(avatar_split_clause,[],[f23,f36,f32,f57,f40])).
% 0.24/0.41  thf(f23,plain,(
% 0.24/0.41    ($true = (sK0 @ sK3)) | ($true != (cE @ sK2)) | ($true != (cE @ sK1)) | ($true != (cD @ sK1))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f65,plain,(
% 0.24/0.41    ~spl4_9 | ~spl4_8 | spl4_7),
% 0.24/0.41    inference(avatar_split_clause,[],[f20,f53,f57,f62])).
% 0.24/0.41  thf(f20,plain,(
% 0.24/0.41    ($true != (cD @ sK3)) | ($true = (sK0 @ sK1)) | ($true != (cE @ sK2))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f60,plain,(
% 0.24/0.41    spl4_2 | spl4_7 | ~spl4_8),
% 0.24/0.41    inference(avatar_split_clause,[],[f19,f57,f53,f32])).
% 0.24/0.41  thf(f19,plain,(
% 0.24/0.41    ($true = (sK0 @ sK3)) | ($true = (sK0 @ sK1)) | ($true != (cE @ sK2))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f51,plain,(
% 0.24/0.41    spl4_6 | spl4_6),
% 0.24/0.41    inference(avatar_split_clause,[],[f15,f48,f48])).
% 0.24/0.41  thf(f15,plain,(
% 0.24/0.41    ( ! [X6 : $i,X4 : $i] : (($true != (sK0 @ X4)) | ($true = (cD @ X4)) | ((cD @ X6) = $true) | ((sK0 @ X6) != $true)) )),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  thf(f43,plain,(
% 0.24/0.41    spl4_1 | spl4_2 | ~spl4_3 | ~spl4_4),
% 0.24/0.41    inference(avatar_split_clause,[],[f25,f40,f36,f32,f28])).
% 0.24/0.41  thf(f25,plain,(
% 0.24/0.41    ($true = (sK0 @ sK3)) | ($true != (cD @ sK1)) | ((sK0 @ sK2) = $true) | ($true != (cE @ sK1))),
% 0.24/0.41    inference(cnf_transformation,[],[f14])).
% 0.24/0.41  % SZS output end Proof for theBenchmark
% 0.24/0.41  % (5772)------------------------------
% 0.24/0.41  % (5772)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41  % (5772)Termination reason: Refutation
% 0.24/0.41  
% 0.24/0.41  % (5772)Memory used [KB]: 5500
% 0.24/0.41  % (5772)Time elapsed: 0.008 s
% 0.24/0.41  % (5772)Instructions burned: 4 (million)
% 0.24/0.41  % (5772)------------------------------
% 0.24/0.41  % (5772)------------------------------
% 0.24/0.41  % (5769)Success in time 0.01 s
%------------------------------------------------------------------------------