%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO178^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 : Wed Feb 25 09:53:35 AM UTC 2026
% Result : Theorem 0.15s 0.92s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 3 unt; 0 typ; 9 def)
% Number of atoms : 882 ( 216 equ)
% Maximal formula atoms : 58 ( 14 avg)
% Number of connectives : 612 ( 222 ~; 296 |; 85 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 432 ( 432 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 20 usr; 22 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f89,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f45,f58,f63,f68,f73,f78,f79,f80,f81,f82,f83,f84,f85,f86,f87,f88]) ).
tff(f88,plain,
( ~ spl0_7
| ~ spl0_4
| ~ spl0_9
| spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f10,f70,f75,f51,f65]) ).
tff(f65,definition,
( spl0_7
<=> ( cB = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
tff(f51,definition,
( spl0_4
<=> ( cG = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
tff(f75,definition,
( spl0_9
<=> ( cC = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
tff(f70,definition,
( spl0_8
<=> ( cR = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
tff(f10,plain,
( ( cG != $true )
| ( cC != $true )
| ( cB != $true )
| ( cR = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
( ( ( cE != $true )
| ( cL != $true )
| ( cK != $true )
| ( cM != $true ) )
& ( ( cL != $true )
| ( cP != $true )
| ( cM = $true ) )
& ( ( cC = $true )
| ( cL != $true )
| ( cM != $true ) )
& ( ( cC = $true )
| ( cN != $true )
| ( cP = $true )
| ( cF = $true ) )
& ( ( cK != $true )
| ( cC = $true )
| ( cB != $true ) )
& ( ( cK = $true )
| ( cG = $true )
| ( cR != $true )
| ( cM = $true ) )
& ( ( cF != $true )
| ( cB = $true ) )
& ( ( cB != $true )
| ( cG != $true )
| ( cM = $true )
| ( cK = $true ) )
& ( ( cE != $true )
| ( cN = $true )
| ( cG != $true )
| ( cM != $true )
| ( cK = $true ) )
& ( ( cK = $true )
| ( cR = $true )
| ( cG = $true ) )
& ( ( cF = $true )
| ( cK = $true )
| ( cN != $true )
| ( cM != $true ) )
& ( ( cR = $true )
| ( cG != $true )
| ( cM = $true ) )
& ( cL = $true )
& ( ( cR != $true )
| ( cN = $true )
| ( cP = $true )
| ( cF = $true ) )
& ( ( cG = $true )
| ( cP = $true )
| ( cR = $true ) )
& ( ( cC != $true )
| ( cG != $true )
| ( cR = $true )
| ( cB != $true ) )
& ( ( cC != $true )
| ( cE != $true )
| ( cR != $true ) )
& ( cE = $true ) ),
inference(flattening,[status(thm)],[f6]) ).
tff(f6,plain,
~ ~ ( ( ( cB != $true )
| ( cK = $true )
| ( cG != $true )
| ( cM = $true ) )
& ( ( cK != $true )
| ( cC = $true )
| ( cB != $true ) )
& ( ( cE != $true )
| ( cG != $true )
| ( cN = $true )
| ( cK = $true )
| ( cM != $true ) )
& ( ( cK = $true )
| ( cN != $true )
| ( cM != $true )
| ( cF = $true ) )
& ( ( cM = $true )
| ( cR = $true )
| ( cG != $true ) )
& ( cL = $true )
& ( ( cP != $true )
| ( cL != $true )
| ( cM = $true ) )
& ( ( cM != $true )
| ( cK != $true )
| ( cL != $true )
| ( cE != $true ) )
& ( ( cL != $true )
| ( cM != $true )
| ( cC = $true ) )
& ( ( cR = $true )
| ( cB != $true )
| ( cC != $true )
| ( cG != $true ) )
& ( ( cM = $true )
| ( cR != $true )
| ( cG = $true )
| ( cK = $true ) )
& ( ( cN = $true )
| ( cR != $true )
| ( cF = $true )
| ( cP = $true ) )
& ( cE = $true )
& ( ( cK = $true )
| ( cR = $true )
| ( cG = $true ) )
& ( ( cG = $true )
| ( cP = $true )
| ( cR = $true ) )
& ( ( cC != $true )
| ( cR != $true )
| ( cE != $true ) )
& ( ( cF != $true )
| ( cB = $true ) )
& ( ( cN != $true )
| ( cF = $true )
| ( cC = $true )
| ( cP = $true ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ~ ( ( ~ cB
| cK
| ~ cG
| cM )
& ( ~ cK
| cC
| ~ cB )
& ( ~ cE
| ~ cG
| cN
| cK
| ~ cM )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( cM
| cR
| ~ cG )
& cL
& ( ~ cP
| ~ cL
| cM )
& ( ~ cM
| ~ cK
| ~ cL
| ~ cE )
& ( ~ cL
| ~ cM
| cC )
& ( cR
| ~ cB
| ~ cC
| ~ cG )
& ( cM
| ~ cR
| cG
| cK )
& ( cN
| ~ cR
| cF
| cP )
& cE
& ( cK
| cR
| cG )
& ( cP
| cG
| cR )
& ( ~ cC
| ~ cR
| ~ cE )
& ( ~ cF
| cB )
& ( ~ cN
| cF
| cC
| cP ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ~ ( ( ~ cB
| cK
| ~ cG
| cM )
& ( ~ cK
| cC
| ~ cB )
& ( ~ cE
| ~ cG
| cN
| cK
| ~ cM )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( cM
| cR
| ~ cG )
& cL
& ( ~ cP
| ~ cL
| cM )
& ( ~ cM
| ~ cK
| ~ cL
| ~ cE )
& ( ~ cL
| ~ cM
| cC )
& ( cR
| ~ cB
| ~ cC
| ~ cG )
& ( cM
| ~ cR
| cG
| cK )
& ( cN
| ~ cR
| cF
| cP )
& cE
& ( cK
| cR
| cG )
& ( cP
| cG
| cR )
& ( ~ cC
| ~ cR
| ~ cE )
& ( ~ cF
| cB )
& ( ~ cN
| cF
| cC
| cP ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
~ ( ( ~ cB
| cK
| ~ cG
| cM )
& ( ~ cK
| cC
| ~ cB )
& ( ~ cE
| ~ cG
| cN
| cK
| ~ cM )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( cM
| cR
| ~ cG )
& cL
& ( ~ cP
| ~ cL
| cM )
& ( ~ cM
| ~ cK
| ~ cL
| ~ cE )
& ( ~ cL
| ~ cM
| cC )
& ( cR
| ~ cB
| ~ cC
| ~ cG )
& ( cM
| ~ cR
| cG
| cK )
& ( cN
| ~ cR
| cF
| cP )
& cE
& ( cK
| cR
| cG )
& ( cP
| cG
| cR )
& ( ~ cC
| ~ cR
| ~ cE )
& ( ~ cF
| cB )
& ( ~ cN
| cF
| cC
| cP ) ),
file('/export/starexec/sandbox2/tmp/tmp.4RO1FMKmKv/DTF2THF_18200.p',cPORKCHOP1C) ).
tff(f87,plain,
( spl0_9
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[status(thm)],[f21,f65,f47,f75]) ).
tff(f47,definition,
( spl0_3
<=> ( cK = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
tff(f21,plain,
( ( cB != $true )
| ( cC = $true )
| ( cK != $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f86,plain,
( ~ spl0_7
| spl0_3
| spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f18,f51,f38,f47,f65]) ).
tff(f38,definition,
( spl0_1
<=> ( cM = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
tff(f18,plain,
( ( cG != $true )
| ( cB != $true )
| ( cK = $true )
| ( cM = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f85,plain,
( spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f31,f38,f75]) ).
tff(f31,plain,
( ( cC = $true )
| ( cM != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f28]) ).
tff(f28,plain,
( ( $true != $true )
| ( cM != $true )
| ( cC = $true ) ),
inference(definition_unfolding,[status(thm)],[f23,f13]) ).
tff(f13,plain,
cL = $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f23,plain,
( ( cC = $true )
| ( cL != $true )
| ( cM != $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f84,plain,
( spl0_1
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f14,f70,f51,f38]) ).
tff(f14,plain,
( ( cR = $true )
| ( cM = $true )
| ( cG != $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f83,plain,
( spl0_2
| spl0_9
| spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f22,f55,f60,f75,f42]) ).
tff(f42,definition,
( spl0_2
<=> ( cP = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
tff(f60,definition,
( spl0_6
<=> ( cF = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
tff(f55,definition,
( spl0_5
<=> ( cN = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
tff(f22,plain,
( ( cC = $true )
| ( cN != $true )
| ( cF = $true )
| ( cP = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f82,plain,
( spl0_4
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f11,f70,f42,f51]) ).
tff(f11,plain,
( ( cP = $true )
| ( cR = $true )
| ( cG = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f81,plain,
( spl0_4
| spl0_8
| spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f16,f47,f70,f51]) ).
tff(f16,plain,
( ( cK = $true )
| ( cR = $true )
| ( cG = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f80,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f33,f47,f38]) ).
tff(f33,plain,
( ( cM != $true )
| ( cK != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f32]) ).
tff(f32,plain,
( ( cK != $true )
| ( cM != $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f26]) ).
tff(f26,plain,
( ( cM != $true )
| ( $true != $true )
| ( cK != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f25,f8,f13]) ).
tff(f8,plain,
cE = $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f25,plain,
( ( cE != $true )
| ( cL != $true )
| ( cK != $true )
| ( cM != $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f79,plain,
( spl0_6
| spl0_5
| spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f12,f70,f42,f55,f60]) ).
tff(f12,plain,
( ( cR != $true )
| ( cN = $true )
| ( cF = $true )
| ( cP = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f78,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f34,f70,f75]) ).
tff(f34,plain,
( ( cC != $true )
| ( cR != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f30]) ).
tff(f30,plain,
( ( cC != $true )
| ( cR != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f9,f8]) ).
tff(f9,plain,
( ( cC != $true )
| ( cE != $true )
| ( cR != $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f73,plain,
( spl0_1
| spl0_3
| ~ spl0_8
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f20,f51,f70,f47,f38]) ).
tff(f20,plain,
( ( cM = $true )
| ( cK = $true )
| ( cR != $true )
| ( cG = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f68,plain,
( spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f19,f60,f65]) ).
tff(f19,plain,
( ( cF != $true )
| ( cB = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f63,plain,
( ~ spl0_5
| spl0_3
| ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f15,f60,f38,f47,f55]) ).
tff(f15,plain,
( ( cN != $true )
| ( cM != $true )
| ( cK = $true )
| ( cF = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f58,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f35,f55,f51,f38,f47]) ).
tff(f35,plain,
( ( cK = $true )
| ( cG != $true )
| ( cN = $true )
| ( cM != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f29]) ).
tff(f29,plain,
( ( $true != $true )
| ( cM != $true )
| ( cN = $true )
| ( cG != $true )
| ( cK = $true ) ),
inference(definition_unfolding,[status(thm)],[f17,f8]) ).
tff(f17,plain,
( ( cE != $true )
| ( cN = $true )
| ( cG != $true )
| ( cM != $true )
| ( cK = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f45,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f36,f42,f38]) ).
tff(f36,plain,
( ( cM = $true )
| ( cP != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f27]) ).
tff(f27,plain,
( ( cM = $true )
| ( $true != $true )
| ( cP != $true ) ),
inference(definition_unfolding,[status(thm)],[f24,f13]) ).
tff(f24,plain,
( ( cL != $true )
| ( cP != $true )
| ( cM = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYO178^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.25 % Computer : n012.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Feb 24 14:26:00 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.31 ---- Original DTF file ---
% 0.06/0.32 thf(spec,logic,$$dhol).
% 0.06/0.32 %------------------------------------------------------------------------------
% 0.06/0.32 % File : SYO178^5 : TPTP v9.2.1. Released v4.0.0.
% 0.06/0.32 % Domain : Syntactic
% 0.06/0.32 % Problem : TPS problem from BASIC-FO-THMS
% 0.06/0.32 % Version : Especial.
% 0.06/0.32 % English :
% 0.06/0.32
% 0.06/0.32 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.06/0.32 % Source : [Bro09]
% 0.06/0.32 % Names : tps_1159 [Bro09]
% 0.06/0.32
% 0.06/0.32 % Status : Theorem
% 0.06/0.32 % Rating : 0.25 v8.2.0, 0.27 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.1.0, 0.33 v4.0.0
% 0.06/0.32 % Syntax : Number of formulae : 12 ( 0 unt; 11 typ; 0 def)
% 0.06/0.32 % Number of atoms : 58 ( 0 equ; 0 cnn)
% 0.06/0.32 % Maximal formula atoms : 58 ( 58 avg)
% 0.06/0.32 % Number of connectives : 86 ( 29 ~; 40 |; 17 &; 0 @)
% 0.06/0.32 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.06/0.32 % Maximal formula depth : 24 ( 24 avg)
% 0.06/0.32 % Number of types : 1 ( 0 usr)
% 0.06/0.32 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.06/0.32 % Number of symbols : 11 ( 11 usr; 11 con; 0-0 aty)
% 0.06/0.32 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.06/0.32 % SPC : TH0_THM_NEQ_NAR
% 0.06/0.32
% 0.06/0.32 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.06/0.32 % project in the Department of Mathematical Sciences at Carnegie
% 0.06/0.32 % Mellon University. Distributed under the Creative Commons copyleft
% 0.06/0.32 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.06/0.32 %------------------------------------------------------------------------------
% 0.06/0.32 thf(cM,type,
% 0.06/0.32 cM: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cN,type,
% 0.06/0.32 cN: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cG,type,
% 0.06/0.32 cG: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cK,type,
% 0.06/0.32 cK: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cE,type,
% 0.06/0.32 cE: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cR,type,
% 0.06/0.32 cR: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cF,type,
% 0.06/0.32 cF: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cC,type,
% 0.06/0.32 cC: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cB,type,
% 0.06/0.32 cB: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cP,type,
% 0.06/0.32 cP: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cL,type,
% 0.06/0.32 cL: $o ).
% 0.06/0.32
% 0.06/0.32 thf(cPORKCHOP1C,conjecture,
% 0.06/0.32 ~ ( cL
% 0.06/0.32 & cE
% 0.06/0.32 & ( ~ cF
% 0.06/0.32 | cB )
% 0.06/0.32 & ( ~ cL
% 0.06/0.32 | ~ cP
% 0.06/0.32 | cM )
% 0.06/0.32 & ( ~ cG
% 0.06/0.32 | cR
% 0.06/0.32 | cM )
% 0.06/0.32 & ( cG
% 0.06/0.32 | cP
% 0.06/0.32 | cR )
% 0.06/0.32 & ( ~ cK
% 0.06/0.32 | ~ cB
% 0.06/0.32 | cC )
% 0.06/0.32 & ( ~ cL
% 0.06/0.32 | ~ cM
% 0.06/0.32 | cC )
% 0.06/0.32 & ( cG
% 0.06/0.32 | cR
% 0.06/0.32 | cK )
% 0.06/0.32 & ( ~ cR
% 0.06/0.32 | ~ cE
% 0.06/0.32 | ~ cC )
% 0.06/0.32 & ( ~ cR
% 0.06/0.32 | cN
% 0.06/0.32 | cF
% 0.06/0.32 | cP )
% 0.06/0.32 & ( ~ cK
% 0.06/0.32 | ~ cL
% 0.06/0.32 | ~ cE
% 0.06/0.32 | ~ cM )
% 0.06/0.32 & ( ~ cG
% 0.06/0.32 | cK
% 0.06/0.32 | cM
% 0.06/0.32 | ~ cB )
% 0.06/0.32 & ( ~ cN
% 0.06/0.32 | cP
% 0.06/0.32 | cF
% 0.06/0.32 | cC )
% 0.06/0.32 & ( ~ cG
% 0.06/0.32 | ~ cB
% 0.06/0.32 | cR
% 0.06/0.32 | ~ cC )
% 0.06/0.32 & ( cK
% 0.06/0.32 | ~ cN
% 0.06/0.32 | ~ cM
% 0.06/0.32 | cF )
% 0.06/0.32 & ( ~ cR
% 0.06/0.32 | cK
% 0.06/0.32 | cM
% 0.06/0.32 | cG )
% 0.06/0.32 & ( ~ cE
% 0.06/0.32 | cK
% 0.06/0.32 | ~ cG
% 0.06/0.32 | cN
% 0.06/0.32 | ~ cM ) ) ).
% 0.06/0.32
% 0.06/0.32 %------------------------------------------------------------------------------
% 0.06/0.32 ------------------------
% 0.15/0.90 ---- Embedded in THF ---
% 0.15/0.90 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.15/0.90 %%% Generated on Tue Feb 24 14:26:01 EST 2026
% 0.15/0.90 %%% using '$$dhol' embedding, version 1.3.0.
% 0.15/0.90 %%% Logic specification used:
% 0.15/0.90 %%% thf(spec, logic, $$dhol).
% 0.15/0.90
% 0.15/0.90 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.4RO1FMKmKv/DTF2DTF18200.p
% See solution above
% 0.15/0.90 ------------------------
% 0.15/0.90 ---- Cleaned THF ---
% 0.15/0.90 thf(cM,type,
% 0.15/0.90 cM: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cN,type,
% 0.15/0.90 cN: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cG,type,
% 0.15/0.90 cG: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cK,type,
% 0.15/0.90 cK: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cE,type,
% 0.15/0.90 cE: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cR,type,
% 0.15/0.90 cR: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cF,type,
% 0.15/0.90 cF: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cC,type,
% 0.15/0.90 cC: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cB,type,
% 0.15/0.90 cB: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cP,type,
% 0.15/0.90 cP: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cL,type,
% 0.15/0.90 cL: $o ).
% 0.15/0.90
% 0.15/0.90 thf(cPORKCHOP1C,conjecture,
% 0.15/0.90 ~ ( cL
% 0.15/0.90 & cE
% 0.15/0.90 & ( ~ cF
% 0.15/0.90 | cB )
% 0.15/0.90 & ( ~ cL
% 0.15/0.90 | ~ cP
% 0.15/0.90 | cM )
% 0.15/0.90 & ( ~ cG
% 0.15/0.90 | cR
% 0.15/0.90 | cM )
% 0.15/0.90 & ( cG
% 0.15/0.90 | cP
% 0.15/0.90 | cR )
% 0.15/0.90 & ( ~ cK
% 0.15/0.90 | ~ cB
% 0.15/0.90 | cC )
% 0.15/0.90 & ( ~ cL
% 0.15/0.90 | ~ cM
% 0.15/0.90 | cC )
% 0.15/0.90 & ( cG
% 0.15/0.90 | cR
% 0.15/0.90 | cK )
% 0.15/0.90 & ( ~ cR
% 0.15/0.90 | ~ cE
% 0.15/0.90 | ~ cC )
% 0.15/0.90 & ( ~ cR
% 0.15/0.90 | cN
% 0.15/0.90 | cF
% 0.15/0.90 | cP )
% 0.15/0.90 & ( ~ cK
% 0.15/0.90 | ~ cL
% 0.15/0.90 | ~ cE
% 0.15/0.90 | ~ cM )
% 0.15/0.90 & ( ~ cG
% 0.15/0.90 | cK
% 0.15/0.90 | cM
% 0.15/0.90 | ~ cB )
% 0.15/0.90 & ( ~ cN
% 0.15/0.90 | cP
% 0.15/0.90 | cF
% 0.15/0.90 | cC )
% 0.15/0.90 & ( ~ cG
% 0.15/0.90 | ~ cB
% 0.15/0.90 | cR
% 0.15/0.90 | ~ cC )
% 0.15/0.90 & ( cK
% 0.15/0.90 | ~ cN
% 0.15/0.90 | ~ cM
% 0.15/0.90 | cF )
% 0.15/0.90 & ( ~ cR
% 0.15/0.90 | cK
% 0.15/0.90 | cM
% 0.15/0.90 | cG )
% 0.15/0.90 & ( ~ cE
% 0.15/0.90 | cK
% 0.15/0.90 | ~ cG
% 0.15/0.90 | cN
% 0.15/0.90 | ~ cM ) ) ).
% 0.15/0.90 ------------------------
% 0.15/0.92 % (18364)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 DTF2THF_18200 for (3000ds/4Mi)
% 0.15/0.92 % (18363)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_18200 for (3000ds/183Mi)
% 0.15/0.92 % (18365)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 DTF2THF_18200 for (3000ds/27Mi)
% 0.15/0.92 % (18366)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_18200 for (3000ds/2Mi)
% 0.15/0.92 % (18367)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_18200 for (3000ds/2Mi)
% 0.15/0.92 % (18369)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_18200 for (3000ds/18Mi)
% 0.15/0.92 % (18368)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_18200 for (3000ds/275Mi)
% 0.15/0.92 % (18366)Instruction limit reached!
% 0.15/0.92 % (18366)------------------------------
% 0.15/0.92 % (18366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.15/0.92 % (18366)Termination reason: Unknown
% 0.15/0.92 % (18366)Termination phase: Saturation
% 0.15/0.92
% 0.15/0.92 % (18366)Memory used [KB]: 1023
% 0.15/0.92 % (18366)Time elapsed: 0.002 s
% 0.15/0.92 % (18366)Instructions burned: 2 (million)
% 0.15/0.92 % (18366)------------------------------
% 0.15/0.92 % (18366)------------------------------
% 0.15/0.92 % (18367)Instruction limit reached!
% 0.15/0.92 % (18367)------------------------------
% 0.15/0.92 % (18367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.15/0.92 % (18367)Termination reason: Unknown
% 0.15/0.92 % (18367)Termination phase: Saturation
% 0.15/0.92
% 0.15/0.92 % (18367)Memory used [KB]: 1023
% 0.15/0.92 % (18367)Time elapsed: 0.002 s
% 0.15/0.92 % (18367)Instructions burned: 2 (million)
% 0.15/0.92 % (18367)------------------------------
% 0.15/0.92 % (18367)------------------------------
% 0.15/0.92 % (18368)First to succeed.
% 0.15/0.92 % (18363)Also succeeded, but the first one will report.
% 0.15/0.92 % (18365)Also succeeded, but the first one will report.
% 0.15/0.92 % (18368)Refutation found. Thanks to Tanya!
% 0.15/0.92 % SZS status Theorem for DTF2THF_18200
% 0.15/0.92 % SZS output start Proof for DTF2THF_18200
% 0.15/0.92 tff(f89,plain,(
% 0.15/0.92 $false),
% 0.15/0.92 inference(avatar_sat_refutation,[status(thm)],[f45,f58,f63,f68,f73,f78,f79,f80,f81,f82,f83,f84,f85,f86,f87,f88])).
% 0.15/0.92 tff(f88,plain,(
% 0.15/0.92 ~spl0_7 | ~spl0_4 | ~spl0_9 | spl0_8),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f10,f70,f75,f51,f65])).
% 0.15/0.92 tff(f65,definition,(
% 0.15/0.92 spl0_7 <=> (cB = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 0.15/0.92 tff(f51,definition,(
% 0.15/0.92 spl0_4 <=> (cG = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 0.15/0.92 tff(f75,definition,(
% 0.15/0.92 spl0_9 <=> (cC = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 0.15/0.92 tff(f70,definition,(
% 0.15/0.92 spl0_8 <=> (cR = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 0.15/0.92 tff(f10,plain,(
% 0.15/0.92 (cG != $true) | (cC != $true) | (cB != $true) | (cR = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f7,plain,(
% 0.15/0.92 ((cE != $true) | (cL != $true) | (cK != $true) | (cM != $true)) & ((cL != $true) | (cP != $true) | (cM = $true)) & ((cC = $true) | (cL != $true) | (cM != $true)) & ((cC = $true) | (cN != $true) | (cP = $true) | (cF = $true)) & ((cK != $true) | (cC = $true) | (cB != $true)) & ((cK = $true) | (cG = $true) | (cR != $true) | (cM = $true)) & ((cF != $true) | (cB = $true)) & ((cB != $true) | (cG != $true) | (cM = $true) | (cK = $true)) & ((cE != $true) | (cN = $true) | (cG != $true) | (cM != $true) | (cK = $true)) & ((cK = $true) | (cR = $true) | (cG = $true)) & ((cF = $true) | (cK = $true) | (cN != $true) | (cM != $true)) & ((cR = $true) | (cG != $true) | (cM = $true)) & (cL = $true) & ((cR != $true) | (cN = $true) | (cP = $true) | (cF = $true)) & ((cG = $true) | (cP = $true) | (cR = $true)) & ((cC != $true) | (cG != $true) | (cR = $true) | (cB != $true)) & ((cC != $true) | (cE != $true) | (cR != $true)) & (cE = $true)),
% 0.15/0.92 inference(flattening,[status(thm)],[f6])).
% 0.15/0.92 tff(f6,plain,(
% 0.15/0.92 ~~((~(cB = $true) | (cK = $true) | ~(cG = $true) | (cM = $true)) & (~(cK = $true) | (cC = $true) | ~(cB = $true)) & (~(cE = $true) | ~(cG = $true) | (cN = $true) | (cK = $true) | ~(cM = $true)) & ((cK = $true) | ~(cN = $true) | ~(cM = $true) | (cF = $true)) & ((cM = $true) | (cR = $true) | ~(cG = $true)) & (cL = $true) & (~(cP = $true) | ~(cL = $true) | (cM = $true)) & (~(cM = $true) | ~(cK = $true) | ~(cL = $true) | ~(cE = $true)) & (~(cL = $true) | ~(cM = $true) | (cC = $true)) & ((cR = $true) | ~(cB = $true) | ~(cC = $true) | ~(cG = $true)) & ((cM = $true) | ~(cR = $true) | (cG = $true) | (cK = $true)) & ((cN = $true) | ~(cR = $true) | (cF = $true) | (cP = $true)) & (cE = $true) & ((cK = $true) | (cR = $true) | (cG = $true)) & ((cG = $true) | (cP = $true) | (cR = $true)) & (~(cC = $true) | ~(cR = $true) | ~(cE = $true)) & (~(cF = $true) | (cB = $true)) & (~(cN = $true) | (cF = $true) | (cC = $true) | (cP = $true)))),
% 0.15/0.92 inference(fool_elimination,[status(thm)],[f5])).
% 0.15/0.92 tff(f5,plain,(
% 0.15/0.92 ~~((~cB | cK | ~cG | cM) & (~cK | cC | ~cB) & (~cE | ~cG | cN | cK | ~cM) & (cK | ~cN | ~cM | cF) & (cM | cR | ~cG) & cL & (~cP | ~cL | cM) & (~cM | ~cK | ~cL | ~cE) & (~cL | ~cM | cC) & (cR | ~cB | ~cC | ~cG) & (cM | ~cR | cG | cK) & (cN | ~cR | cF | cP) & cE & (cK | cR | cG) & (cP | cG | cR) & (~cC | ~cR | ~cE) & (~cF | cB) & (~cN | cF | cC | cP))),
% 0.15/0.92 inference(rectify,[status(thm)],[f2])).
% 0.15/0.92 tff(f2,negated_conjecture,(
% 0.15/0.92 ~~((~cB | cK | ~cG | cM) & (~cK | cC | ~cB) & (~cE | ~cG | cN | cK | ~cM) & (cK | ~cN | ~cM | cF) & (cM | cR | ~cG) & cL & (~cP | ~cL | cM) & (~cM | ~cK | ~cL | ~cE) & (~cL | ~cM | cC) & (cR | ~cB | ~cC | ~cG) & (cM | ~cR | cG | cK) & (cN | ~cR | cF | cP) & cE & (cK | cR | cG) & (cP | cG | cR) & (~cC | ~cR | ~cE) & (~cF | cB) & (~cN | cF | cC | cP))),
% 0.15/0.92 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.92 tff(f1,conjecture,(
% 0.15/0.92 ~((~cB | cK | ~cG | cM) & (~cK | cC | ~cB) & (~cE | ~cG | cN | cK | ~cM) & (cK | ~cN | ~cM | cF) & (cM | cR | ~cG) & cL & (~cP | ~cL | cM) & (~cM | ~cK | ~cL | ~cE) & (~cL | ~cM | cC) & (cR | ~cB | ~cC | ~cG) & (cM | ~cR | cG | cK) & (cN | ~cR | cF | cP) & cE & (cK | cR | cG) & (cP | cG | cR) & (~cC | ~cR | ~cE) & (~cF | cB) & (~cN | cF | cC | cP))),
% 0.15/0.92 file('/export/starexec/sandbox2/tmp/tmp.4RO1FMKmKv/DTF2THF_18200.p',cPORKCHOP1C)).
% 0.15/0.92 tff(f87,plain,(
% 0.15/0.92 spl0_9 | ~spl0_3 | ~spl0_7),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f21,f65,f47,f75])).
% 0.15/0.92 tff(f47,definition,(
% 0.15/0.92 spl0_3 <=> (cK = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 0.15/0.92 tff(f21,plain,(
% 0.15/0.92 (cB != $true) | (cC = $true) | (cK != $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f86,plain,(
% 0.15/0.92 ~spl0_7 | spl0_3 | spl0_1 | ~spl0_4),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f18,f51,f38,f47,f65])).
% 0.15/0.92 tff(f38,definition,(
% 0.15/0.92 spl0_1 <=> (cM = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 0.15/0.92 tff(f18,plain,(
% 0.15/0.92 (cG != $true) | (cB != $true) | (cK = $true) | (cM = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f85,plain,(
% 0.15/0.92 spl0_9 | ~spl0_1),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f31,f38,f75])).
% 0.15/0.92 tff(f31,plain,(
% 0.15/0.92 (cC = $true) | (cM != $true)),
% 0.15/0.92 inference(trivial_inequality_removal,[status(thm)],[f28])).
% 0.15/0.92 tff(f28,plain,(
% 0.15/0.92 ($true != $true) | (cM != $true) | (cC = $true)),
% 0.15/0.92 inference(definition_unfolding,[status(thm)],[f23,f13])).
% 0.15/0.92 tff(f13,plain,(
% 0.15/0.92 (cL = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f23,plain,(
% 0.15/0.92 (cC = $true) | (cL != $true) | (cM != $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f84,plain,(
% 0.15/0.92 spl0_1 | ~spl0_4 | spl0_8),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f14,f70,f51,f38])).
% 0.15/0.92 tff(f14,plain,(
% 0.15/0.92 (cR = $true) | (cM = $true) | (cG != $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f83,plain,(
% 0.15/0.92 spl0_2 | spl0_9 | spl0_6 | ~spl0_5),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f22,f55,f60,f75,f42])).
% 0.15/0.92 tff(f42,definition,(
% 0.15/0.92 spl0_2 <=> (cP = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 0.15/0.92 tff(f60,definition,(
% 0.15/0.92 spl0_6 <=> (cF = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 0.15/0.92 tff(f55,definition,(
% 0.15/0.92 spl0_5 <=> (cN = $true)),
% 0.15/0.92 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 0.15/0.92 tff(f22,plain,(
% 0.15/0.92 (cC = $true) | (cN != $true) | (cF = $true) | (cP = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f82,plain,(
% 0.15/0.92 spl0_4 | spl0_2 | spl0_8),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f11,f70,f42,f51])).
% 0.15/0.92 tff(f11,plain,(
% 0.15/0.92 (cP = $true) | (cR = $true) | (cG = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f81,plain,(
% 0.15/0.92 spl0_4 | spl0_8 | spl0_3),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f16,f47,f70,f51])).
% 0.15/0.92 tff(f16,plain,(
% 0.15/0.92 (cK = $true) | (cR = $true) | (cG = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f80,plain,(
% 0.15/0.92 ~spl0_1 | ~spl0_3),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f33,f47,f38])).
% 0.15/0.92 tff(f33,plain,(
% 0.15/0.92 (cM != $true) | (cK != $true)),
% 0.15/0.92 inference(trivial_inequality_removal,[status(thm)],[f32])).
% 0.15/0.92 tff(f32,plain,(
% 0.15/0.92 (cK != $true) | (cM != $true) | ($true != $true)),
% 0.15/0.92 inference(duplicate_literal_removal,[status(thm)],[f26])).
% 0.15/0.92 tff(f26,plain,(
% 0.15/0.92 (cM != $true) | ($true != $true) | (cK != $true) | ($true != $true)),
% 0.15/0.92 inference(definition_unfolding,[status(thm)],[f25,f8,f13])).
% 0.15/0.92 tff(f8,plain,(
% 0.15/0.92 (cE = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f25,plain,(
% 0.15/0.92 (cE != $true) | (cL != $true) | (cK != $true) | (cM != $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f79,plain,(
% 0.15/0.92 spl0_6 | spl0_5 | spl0_2 | ~spl0_8),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f12,f70,f42,f55,f60])).
% 0.15/0.92 tff(f12,plain,(
% 0.15/0.92 (cR != $true) | (cN = $true) | (cF = $true) | (cP = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f78,plain,(
% 0.15/0.92 ~spl0_9 | ~spl0_8),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f34,f70,f75])).
% 0.15/0.92 tff(f34,plain,(
% 0.15/0.92 (cC != $true) | (cR != $true)),
% 0.15/0.92 inference(trivial_inequality_removal,[status(thm)],[f30])).
% 0.15/0.92 tff(f30,plain,(
% 0.15/0.92 (cC != $true) | (cR != $true) | ($true != $true)),
% 0.15/0.92 inference(definition_unfolding,[status(thm)],[f9,f8])).
% 0.15/0.92 tff(f9,plain,(
% 0.15/0.92 (cC != $true) | (cE != $true) | (cR != $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f73,plain,(
% 0.15/0.92 spl0_1 | spl0_3 | ~spl0_8 | spl0_4),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f20,f51,f70,f47,f38])).
% 0.15/0.92 tff(f20,plain,(
% 0.15/0.92 (cM = $true) | (cK = $true) | (cR != $true) | (cG = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f68,plain,(
% 0.15/0.92 spl0_7 | ~spl0_6),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f19,f60,f65])).
% 0.15/0.92 tff(f19,plain,(
% 0.15/0.92 (cF != $true) | (cB = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f63,plain,(
% 0.15/0.92 ~spl0_5 | spl0_3 | ~spl0_1 | spl0_6),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f15,f60,f38,f47,f55])).
% 0.15/0.92 tff(f15,plain,(
% 0.15/0.92 (cN != $true) | (cM != $true) | (cK = $true) | (cF = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f58,plain,(
% 0.15/0.92 spl0_3 | ~spl0_1 | ~spl0_4 | spl0_5),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f35,f55,f51,f38,f47])).
% 0.15/0.92 tff(f35,plain,(
% 0.15/0.92 (cK = $true) | (cG != $true) | (cN = $true) | (cM != $true)),
% 0.15/0.92 inference(trivial_inequality_removal,[status(thm)],[f29])).
% 0.15/0.92 tff(f29,plain,(
% 0.15/0.92 ($true != $true) | (cM != $true) | (cN = $true) | (cG != $true) | (cK = $true)),
% 0.15/0.92 inference(definition_unfolding,[status(thm)],[f17,f8])).
% 0.15/0.92 tff(f17,plain,(
% 0.15/0.92 (cE != $true) | (cN = $true) | (cG != $true) | (cM != $true) | (cK = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 tff(f45,plain,(
% 0.15/0.92 spl0_1 | ~spl0_2),
% 0.15/0.92 inference(avatar_split_clause,[status(thm)],[f36,f42,f38])).
% 0.15/0.92 tff(f36,plain,(
% 0.15/0.92 (cM = $true) | (cP != $true)),
% 0.15/0.92 inference(trivial_inequality_removal,[status(thm)],[f27])).
% 0.15/0.92 tff(f27,plain,(
% 0.15/0.92 (cM = $true) | ($true != $true) | (cP != $true)),
% 0.15/0.92 inference(definition_unfolding,[status(thm)],[f24,f13])).
% 0.15/0.92 tff(f24,plain,(
% 0.15/0.92 (cL != $true) | (cP != $true) | (cM = $true)),
% 0.15/0.92 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.92 % SZS output end Proof for DTF2THF_18200
% 0.15/0.92 % (18368)------------------------------
% 0.15/0.92 % (18368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.15/0.92 % (18368)Termination reason: Refutation
% 0.15/0.92
% 0.15/0.92 % (18368)Memory used [KB]: 5500
% 0.15/0.92 % (18368)Time elapsed: 0.004 s
% 0.15/0.92 % (18368)Instructions burned: 2 (million)
% 0.15/0.92 % (18368)------------------------------
% 0.15/0.92 % (18368)------------------------------
% 0.15/0.92 % (18362)Success in time 0.012 s
%------------------------------------------------------------------------------