TSTP Solution File: SYO314^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO314^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 09:03:56 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO314^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 09:23:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.36  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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % (26249)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37  % (26251)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.13/0.37  % (26252)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (26250)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.13/0.37  % (26254)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.13/0.37  % (26255)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.38  % (26252)Instruction limit reached!
% 0.13/0.38  % (26252)------------------------------
% 0.13/0.38  % (26252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (26252)Termination reason: Unknown
% 0.13/0.38  % (26252)Termination phase: Property scanning
% 0.13/0.38  
% 0.13/0.38  % (26252)Memory used [KB]: 895
% 0.13/0.38  % (26252)Time elapsed: 0.003 s
% 0.13/0.38  % (26252)Instructions burned: 2 (million)
% 0.13/0.38  % (26252)------------------------------
% 0.13/0.38  % (26252)------------------------------
% 0.13/0.38  % (26253)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.38  % (26250)Instruction limit reached!
% 0.13/0.38  % (26250)------------------------------
% 0.13/0.38  % (26250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (26250)Termination reason: Unknown
% 0.13/0.38  % (26250)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (26250)Memory used [KB]: 5500
% 0.13/0.38  % (26250)Time elapsed: 0.006 s
% 0.13/0.38  % (26250)Instructions burned: 5 (million)
% 0.13/0.38  % (26250)------------------------------
% 0.13/0.38  % (26250)------------------------------
% 0.13/0.38  % (26253)Instruction limit reached!
% 0.13/0.38  % (26253)------------------------------
% 0.13/0.38  % (26253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (26253)Termination reason: Unknown
% 0.13/0.38  % (26253)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (26253)Memory used [KB]: 5500
% 0.13/0.38  % (26253)Time elapsed: 0.005 s
% 0.13/0.38  % (26253)Instructions burned: 2 (million)
% 0.13/0.38  % (26253)------------------------------
% 0.13/0.38  % (26253)------------------------------
% 0.13/0.38  % (26251)First to succeed.
% 0.13/0.38  % (26249)Also succeeded, but the first one will report.
% 0.13/0.38  % (26254)Also succeeded, but the first one will report.
% 0.13/0.38  % (26251)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% 0.13/0.38  thf(func_def_2, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.38  thf(func_def_5, type, sK0: $i > $o).
% 0.13/0.38  thf(func_def_8, type, sK3: $i > $o).
% 0.13/0.38  thf(func_def_9, type, sK4: $i > $o).
% 0.13/0.38  thf(func_def_10, type, sK5: $i > $o).
% 0.13/0.38  thf(func_def_14, type, ph9: !>[X0: $tType]:(X0)).
% 0.13/0.38  thf(f149,plain,(
% 0.13/0.38    $false),
% 0.13/0.38    inference(avatar_sat_refutation,[],[f38,f47,f56,f61,f62,f63,f64,f65,f70,f71,f75,f76,f77,f78,f79,f80,f81,f89,f148])).
% 0.13/0.38  thf(f148,plain,(
% 0.13/0.38    spl8_4 | spl8_1 | ~spl8_6 | ~spl8_8 | ~spl8_9),
% 0.13/0.38    inference(avatar_split_clause,[],[f146,f73,f67,f53,f31,f44])).
% 0.13/0.38  thf(f44,plain,(
% 0.13/0.38    spl8_4 <=> ($true = (sK4 @ sK7))),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 0.13/0.38  thf(f31,plain,(
% 0.13/0.38    spl8_1 <=> ((sK5 @ z) = $true)),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_1])])).
% 0.13/0.38  thf(f53,plain,(
% 0.13/0.38    spl8_6 <=> ($true = (sK5 @ sK7))),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
% 0.13/0.38  thf(f67,plain,(
% 0.13/0.38    spl8_8 <=> ((sK4 @ sK6) = $true)),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_8])])).
% 0.13/0.38  thf(f73,plain,(
% 0.13/0.38    spl8_9 <=> ! [X5 : $i > $o,X4 : $i > $o,X7,X6] : (((X5 @ z) = $true) | ((X5 @ X7) != $true) | ($true != (X4 @ X6)) | ((X4 @ X7) = $true))),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_9])])).
% 0.13/0.38  thf(f146,plain,(
% 0.13/0.38    ($true = (sK4 @ sK7)) | ((sK5 @ z) = $true) | (~spl8_6 | ~spl8_8 | ~spl8_9)),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f142])).
% 0.13/0.38  thf(f142,plain,(
% 0.13/0.38    ((sK5 @ z) = $true) | ($true = (sK4 @ sK7)) | ($true != $true) | (~spl8_6 | ~spl8_8 | ~spl8_9)),
% 0.13/0.38    inference(superposition,[],[f102,f55])).
% 0.13/0.38  thf(f55,plain,(
% 0.13/0.38    ($true = (sK5 @ sK7)) | ~spl8_6),
% 0.13/0.38    inference(avatar_component_clause,[],[f53])).
% 0.13/0.38  thf(f102,plain,(
% 0.13/0.38    ( ! [X0 : $i,X1 : $i > $o] : (($true != (X1 @ X0)) | ($true = (sK4 @ X0)) | ((X1 @ z) = $true)) ) | (~spl8_8 | ~spl8_9)),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f100])).
% 0.13/0.38  thf(f100,plain,(
% 0.13/0.38    ( ! [X0 : $i,X1 : $i > $o] : (($true = (sK4 @ X0)) | ($true != $true) | ((X1 @ z) = $true) | ($true != (X1 @ X0))) ) | (~spl8_8 | ~spl8_9)),
% 0.13/0.38    inference(superposition,[],[f74,f69])).
% 0.13/0.38  thf(f69,plain,(
% 0.13/0.38    ((sK4 @ sK6) = $true) | ~spl8_8),
% 0.13/0.38    inference(avatar_component_clause,[],[f67])).
% 0.13/0.38  thf(f74,plain,(
% 0.13/0.38    ( ! [X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i > $o] : (($true != (X4 @ X6)) | ((X4 @ X7) = $true) | ((X5 @ z) = $true) | ((X5 @ X7) != $true)) ) | ~spl8_9),
% 0.13/0.38    inference(avatar_component_clause,[],[f73])).
% 0.13/0.38  thf(f89,plain,(
% 0.13/0.38    spl8_3 | spl8_5 | ~spl8_2 | ~spl8_7 | ~spl8_9),
% 0.13/0.38    inference(avatar_split_clause,[],[f88,f73,f58,f35,f49,f40])).
% 0.13/0.38  thf(f40,plain,(
% 0.13/0.38    spl8_3 <=> ((sK3 @ sK2) = $true)),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 0.13/0.38  thf(f49,plain,(
% 0.13/0.38    spl8_5 <=> ((sK0 @ z) = $true)),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 0.13/0.38  thf(f35,plain,(
% 0.13/0.38    spl8_2 <=> ((sK3 @ sK1) = $true)),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_2])])).
% 0.13/0.38  thf(f58,plain,(
% 0.13/0.38    spl8_7 <=> ($true = (sK0 @ sK2))),
% 0.13/0.38    introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 0.13/0.38  thf(f88,plain,(
% 0.13/0.38    ((sK3 @ sK2) = $true) | ((sK0 @ z) = $true) | (~spl8_2 | ~spl8_7 | ~spl8_9)),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f87])).
% 0.13/0.38  thf(f87,plain,(
% 0.13/0.38    ((sK3 @ sK2) = $true) | ($true != $true) | ((sK0 @ z) = $true) | (~spl8_2 | ~spl8_7 | ~spl8_9)),
% 0.13/0.38    inference(superposition,[],[f84,f60])).
% 0.13/0.38  thf(f60,plain,(
% 0.13/0.38    ($true = (sK0 @ sK2)) | ~spl8_7),
% 0.13/0.38    inference(avatar_component_clause,[],[f58])).
% 0.13/0.38  thf(f84,plain,(
% 0.13/0.38    ( ! [X0 : $i,X1 : $i > $o] : (($true != (X1 @ X0)) | ((X1 @ z) = $true) | ((sK3 @ X0) = $true)) ) | (~spl8_2 | ~spl8_9)),
% 0.13/0.38    inference(trivial_inequality_removal,[],[f82])).
% 0.13/0.38  thf(f82,plain,(
% 0.13/0.38    ( ! [X0 : $i,X1 : $i > $o] : (($true != $true) | ($true != (X1 @ X0)) | ((X1 @ z) = $true) | ((sK3 @ X0) = $true)) ) | (~spl8_2 | ~spl8_9)),
% 0.13/0.38    inference(superposition,[],[f74,f37])).
% 0.13/0.38  thf(f37,plain,(
% 0.13/0.38    ((sK3 @ sK1) = $true) | ~spl8_2),
% 0.13/0.38    inference(avatar_component_clause,[],[f35])).
% 0.13/0.38  thf(f81,plain,(
% 0.13/0.38    spl8_7 | spl8_8),
% 0.13/0.38    inference(avatar_split_clause,[],[f26,f67,f58])).
% 0.13/0.38  thf(f26,plain,(
% 0.13/0.38    ($true = (sK0 @ sK2)) | ((sK4 @ sK6) = $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f12,plain,(
% 0.13/0.38    (! [X0 : $i > $o,X1,X2,X3 : $i > $o] : (((X0 @ X2) != $true) | ((X3 @ X2) = $true) | ($true != (X3 @ X1)) | ((X0 @ z) = $true)) | ! [X4 : $i > $o,X5 : $i > $o,X6,X7] : (((X4 @ X7) = $true) | ((X5 @ z) = $true) | ($true != (X4 @ X6)) | ((X5 @ X7) != $true))) & ((($true = (sK0 @ sK2)) & ((sK3 @ sK2) != $true) & ((sK3 @ sK1) = $true) & ((sK0 @ z) != $true)) | (($true != (sK4 @ sK7)) & ((sK5 @ z) != $true) & ((sK4 @ sK6) = $true) & ($true = (sK5 @ sK7))))),
% 0.13/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f9,f11,f10])).
% 0.13/0.38  thf(f10,plain,(
% 0.13/0.38    ? [X8 : $i > $o,X9,X10,X11 : $i > $o] : (((X8 @ X10) = $true) & ($true != (X11 @ X10)) & ($true = (X11 @ X9)) & ((X8 @ z) != $true)) => (($true = (sK0 @ sK2)) & ((sK3 @ sK2) != $true) & ((sK3 @ sK1) = $true) & ((sK0 @ z) != $true))),
% 0.13/0.38    introduced(choice_axiom,[])).
% 0.13/0.38  thf(f11,plain,(
% 0.13/0.38    ? [X12 : $i > $o,X13 : $i > $o,X14,X15] : (($true != (X12 @ X15)) & ((X13 @ z) != $true) & ((X12 @ X14) = $true) & ((X13 @ X15) = $true)) => (($true != (sK4 @ sK7)) & ((sK5 @ z) != $true) & ((sK4 @ sK6) = $true) & ($true = (sK5 @ sK7)))),
% 0.13/0.38    introduced(choice_axiom,[])).
% 0.13/0.38  thf(f9,plain,(
% 0.13/0.38    (! [X0 : $i > $o,X1,X2,X3 : $i > $o] : (((X0 @ X2) != $true) | ((X3 @ X2) = $true) | ($true != (X3 @ X1)) | ((X0 @ z) = $true)) | ! [X4 : $i > $o,X5 : $i > $o,X6,X7] : (((X4 @ X7) = $true) | ((X5 @ z) = $true) | ($true != (X4 @ X6)) | ((X5 @ X7) != $true))) & (? [X8 : $i > $o,X9,X10,X11 : $i > $o] : (((X8 @ X10) = $true) & ($true != (X11 @ X10)) & ($true = (X11 @ X9)) & ((X8 @ z) != $true)) | ? [X12 : $i > $o,X13 : $i > $o,X14,X15] : (($true != (X12 @ X15)) & ((X13 @ z) != $true) & ((X12 @ X14) = $true) & ((X13 @ X15) = $true)))),
% 0.13/0.38    inference(rectify,[],[f8])).
% 0.13/0.38  thf(f8,plain,(
% 0.13/0.38    (! [X5 : $i > $o,X6,X7,X4 : $i > $o] : (((X5 @ X7) != $true) | ((X4 @ X7) = $true) | ($true != (X4 @ X6)) | ((X5 @ z) = $true)) | ! [X0 : $i > $o,X3 : $i > $o,X1,X2] : (((X0 @ X2) = $true) | ($true = (X3 @ z)) | ($true != (X0 @ X1)) | ((X3 @ X2) != $true))) & (? [X5 : $i > $o,X6,X7,X4 : $i > $o] : (((X5 @ X7) = $true) & ((X4 @ X7) != $true) & ($true = (X4 @ X6)) & ((X5 @ z) != $true)) | ? [X0 : $i > $o,X3 : $i > $o,X1,X2] : (((X0 @ X2) != $true) & ($true != (X3 @ z)) & ($true = (X0 @ X1)) & ((X3 @ X2) = $true)))),
% 0.13/0.38    inference(nnf_transformation,[],[f7])).
% 0.13/0.38  thf(f7,plain,(
% 0.13/0.38    ? [X0 : $i > $o,X3 : $i > $o,X1,X2] : (((X0 @ X2) != $true) & ($true != (X3 @ z)) & ($true = (X0 @ X1)) & ((X3 @ X2) = $true)) <~> ? [X5 : $i > $o,X6,X7,X4 : $i > $o] : (((X5 @ X7) = $true) & ((X4 @ X7) != $true) & ($true = (X4 @ X6)) & ((X5 @ z) != $true))),
% 0.13/0.38    inference(ennf_transformation,[],[f6])).
% 0.13/0.38  thf(f6,plain,(
% 0.13/0.38    ~(? [X5 : $i > $o,X6,X7,X4 : $i > $o] : (((X5 @ X7) = $true) & ((X4 @ X7) != $true) & ($true = (X4 @ X6)) & ((X5 @ z) != $true)) <=> ? [X0 : $i > $o,X3 : $i > $o,X1,X2] : (((X0 @ X2) != $true) & ($true != (X3 @ z)) & ($true = (X0 @ X1)) & ((X3 @ X2) = $true)))),
% 0.13/0.38    inference(flattening,[],[f5])).
% 0.13/0.38  thf(f5,plain,(
% 0.13/0.38    ~(? [X0 : $i > $o,X1,X2,X3 : $i > $o] : (((X3 @ X2) = $true) & ~($true = (X3 @ z)) & ~((X0 @ X2) = $true) & ($true = (X0 @ X1))) <=> ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (((X5 @ X7) = $true) & ~((X4 @ X7) = $true) & ($true = (X4 @ X6)) & ~((X5 @ z) = $true)))),
% 0.13/0.38    inference(fool_elimination,[],[f4])).
% 0.13/0.38  thf(f4,plain,(
% 0.13/0.38    ~(? [X0 : $i > $o,X1,X2,X3 : $i > $o] : ((X3 @ X2) & ~(X3 @ z) & ~(X0 @ X2) & (X0 @ X1)) <=> ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : ((X5 @ X7) & ~(X4 @ X7) & (X4 @ X6) & ~(X5 @ z)))),
% 0.13/0.38    inference(rectify,[],[f2])).
% 0.13/0.38  thf(f2,negated_conjecture,(
% 0.13/0.38    ~(? [X0 : $i > $o,X2,X3,X1 : $i > $o] : ((X1 @ X3) & ~(X1 @ z) & ~(X0 @ X3) & (X0 @ X2)) <=> ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((X1 @ X3) & ~(X0 @ X3) & (X0 @ X2) & ~(X1 @ z)))),
% 0.13/0.38    inference(negated_conjecture,[],[f1])).
% 0.13/0.38  thf(f1,conjecture,(
% 0.13/0.38    ? [X0 : $i > $o,X2,X3,X1 : $i > $o] : ((X1 @ X3) & ~(X1 @ z) & ~(X0 @ X3) & (X0 @ X2)) <=> ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((X1 @ X3) & ~(X0 @ X3) & (X0 @ X2) & ~(X1 @ z))),
% 0.13/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSILLYWFF2)).
% 0.13/0.38  thf(f80,plain,(
% 0.13/0.38    ~spl8_4 | spl8_2),
% 0.13/0.38    inference(avatar_split_clause,[],[f20,f35,f44])).
% 0.13/0.38  thf(f20,plain,(
% 0.13/0.38    ($true != (sK4 @ sK7)) | ((sK3 @ sK1) = $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f79,plain,(
% 0.13/0.38    spl8_8 | ~spl8_5),
% 0.13/0.38    inference(avatar_split_clause,[],[f14,f49,f67])).
% 0.13/0.38  thf(f14,plain,(
% 0.13/0.38    ((sK0 @ z) != $true) | ((sK4 @ sK6) = $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f78,plain,(
% 0.13/0.38    ~spl8_1 | ~spl8_5),
% 0.13/0.38    inference(avatar_split_clause,[],[f15,f49,f31])).
% 0.13/0.38  thf(f15,plain,(
% 0.13/0.38    ((sK0 @ z) != $true) | ((sK5 @ z) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f77,plain,(
% 0.13/0.38    spl8_2 | spl8_8),
% 0.13/0.38    inference(avatar_split_clause,[],[f18,f67,f35])).
% 0.13/0.38  thf(f18,plain,(
% 0.13/0.38    ((sK3 @ sK1) = $true) | ((sK4 @ sK6) = $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f76,plain,(
% 0.13/0.38    ~spl8_3 | spl8_6),
% 0.13/0.38    inference(avatar_split_clause,[],[f21,f53,f40])).
% 0.13/0.38  thf(f21,plain,(
% 0.13/0.38    ($true = (sK5 @ sK7)) | ((sK3 @ sK2) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f75,plain,(
% 0.13/0.38    spl8_9 | spl8_9),
% 0.13/0.38    inference(avatar_split_clause,[],[f29,f73,f73])).
% 0.13/0.38  thf(f29,plain,(
% 0.13/0.38    ( ! [X2 : $i,X3 : $i > $o,X0 : $i > $o,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i > $o] : (((X5 @ z) = $true) | ($true != (X4 @ X6)) | ((X0 @ z) = $true) | ((X0 @ X2) != $true) | ($true != (X3 @ X1)) | ((X4 @ X7) = $true) | ((X5 @ X7) != $true) | ((X3 @ X2) = $true)) )),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f71,plain,(
% 0.13/0.38    spl8_7 | ~spl8_4),
% 0.13/0.38    inference(avatar_split_clause,[],[f28,f44,f58])).
% 0.13/0.38  thf(f28,plain,(
% 0.13/0.38    ($true = (sK0 @ sK2)) | ($true != (sK4 @ sK7))),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f70,plain,(
% 0.13/0.38    ~spl8_3 | spl8_8),
% 0.13/0.38    inference(avatar_split_clause,[],[f22,f67,f40])).
% 0.13/0.38  thf(f22,plain,(
% 0.13/0.38    ((sK4 @ sK6) = $true) | ((sK3 @ sK2) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f65,plain,(
% 0.13/0.38    ~spl8_3 | ~spl8_1),
% 0.13/0.38    inference(avatar_split_clause,[],[f23,f31,f40])).
% 0.13/0.38  thf(f23,plain,(
% 0.13/0.38    ((sK3 @ sK2) != $true) | ((sK5 @ z) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f64,plain,(
% 0.13/0.38    ~spl8_1 | spl8_7),
% 0.13/0.38    inference(avatar_split_clause,[],[f27,f58,f31])).
% 0.13/0.38  thf(f27,plain,(
% 0.13/0.38    ((sK5 @ z) != $true) | ($true = (sK0 @ sK2))),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f63,plain,(
% 0.13/0.38    spl8_2 | spl8_6),
% 0.13/0.38    inference(avatar_split_clause,[],[f17,f53,f35])).
% 0.13/0.38  thf(f17,plain,(
% 0.13/0.38    ($true = (sK5 @ sK7)) | ((sK3 @ sK1) = $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f62,plain,(
% 0.13/0.38    ~spl8_5 | ~spl8_4),
% 0.13/0.38    inference(avatar_split_clause,[],[f16,f44,f49])).
% 0.13/0.38  thf(f16,plain,(
% 0.13/0.38    ($true != (sK4 @ sK7)) | ((sK0 @ z) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f61,plain,(
% 0.13/0.38    spl8_6 | spl8_7),
% 0.13/0.38    inference(avatar_split_clause,[],[f25,f58,f53])).
% 0.13/0.38  thf(f25,plain,(
% 0.13/0.38    ($true = (sK0 @ sK2)) | ($true = (sK5 @ sK7))),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f56,plain,(
% 0.13/0.38    ~spl8_5 | spl8_6),
% 0.13/0.38    inference(avatar_split_clause,[],[f13,f53,f49])).
% 0.13/0.38  thf(f13,plain,(
% 0.13/0.38    ($true = (sK5 @ sK7)) | ((sK0 @ z) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f47,plain,(
% 0.13/0.38    ~spl8_3 | ~spl8_4),
% 0.13/0.38    inference(avatar_split_clause,[],[f24,f44,f40])).
% 0.13/0.38  thf(f24,plain,(
% 0.13/0.38    ($true != (sK4 @ sK7)) | ((sK3 @ sK2) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  thf(f38,plain,(
% 0.13/0.38    ~spl8_1 | spl8_2),
% 0.13/0.38    inference(avatar_split_clause,[],[f19,f35,f31])).
% 0.13/0.38  thf(f19,plain,(
% 0.13/0.38    ((sK3 @ sK1) = $true) | ((sK5 @ z) != $true)),
% 0.13/0.38    inference(cnf_transformation,[],[f12])).
% 0.13/0.38  % SZS output end Proof for theBenchmark
% 0.13/0.38  % (26251)------------------------------
% 0.13/0.38  % (26251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (26251)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (26251)Memory used [KB]: 5628
% 0.13/0.38  % (26251)Time elapsed: 0.010 s
% 0.13/0.38  % (26251)Instructions burned: 7 (million)
% 0.13/0.38  % (26251)------------------------------
% 0.13/0.38  % (26251)------------------------------
% 0.13/0.38  % (26248)Success in time 0.021 s
% 0.13/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------