%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO500^1.002 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 09:54:22 AM UTC 2026
% Result : Theorem 1.92s 1.63s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 46
% Syntax : Number of formulae : 126 ( 15 unt; 0 typ; 32 def)
% Number of atoms : 782 ( 190 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 306 ( 30 ~; 154 |; 0 &; 97 @)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 35 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
f0: $o > $o ).
thf(func_def_2,type,
f1: $o > $o ).
thf(f201,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f70,f79,f88,f93,f98,f107,f116,f121,f126,f131,f132,f137,f138,f143,f148,f149,f150,f159,f164,f169,f170,f175,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200]) ).
thf(f200,plain,
( ( $true != sF1 )
| ( $false != sF1 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f199,plain,
( ( x != $true )
| ( x != $false )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f198,plain,
( ( $false
!= ( f1 @ $true ) )
| ( $true
!= ( f1 @ $true ) )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f197,plain,
( ( $false != sF4 )
| ( $true != sF4 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f196,plain,
( ( $true != sF2 )
| ( $false != sF2 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f195,plain,
( ( $true != sF6 )
| ( $false != sF6 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f194,plain,
( ( $true != sF3 )
| ( $false != sF3 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f193,plain,
( ( $true != sF5 )
| ( $false != sF5 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f192,plain,
( ( $true
!= ( f0 @ $false ) )
| ( $false
!= ( f0 @ $false ) )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f191,plain,
( ( $true
!= ( f0 @ $true ) )
| ( $false
!= ( f0 @ $true ) )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f190,plain,
( ( $true != sF0 )
| ( $false != sF0 )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f189,plain,
( ( $true
!= ( f1 @ $false ) )
| ( $false
!= ( f1 @ $false ) )
| ( $false = $true ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f188,plain,
( spl7_22
| spl7_25 ),
inference(avatar_split_clause,[status(thm)],[f15,f177,f161]) ).
thf(f161,definition,
( spl7_22
<=> ( $false = sF3 ) ),
introduced(definition,[new_symbols(naming,[spl7_22])],[avatar_definition]) ).
thf(f177,definition,
( spl7_25
<=> ( $false = sF6 ) ),
introduced(definition,[new_symbols(naming,[spl7_25])],[avatar_definition]) ).
thf(f15,plain,
( ( $false = sF3 )
| ( $false = sF6 ) ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
sF6 != sF3,
inference(definition_folding,[status(thm)],[f5,f12,f11,f10,f6,f9,f8,f7,f6]) ).
thf(f7,definition,
( sF1
= ( f0 @ sF0 ) ),
introduced(definition,[],[function_definition]) ).
thf(f8,definition,
( sF2
= ( f0 @ sF1 ) ),
introduced(definition,[],[function_definition]) ).
thf(f9,definition,
( ( f0 @ sF2 )
= sF3 ),
introduced(definition,[],[function_definition]) ).
thf(f6,definition,
( ( f1 @ x )
= sF0 ),
introduced(definition,[],[function_definition]) ).
thf(f10,definition,
( ( f1 @ sF0 )
= sF4 ),
introduced(definition,[],[function_definition]) ).
thf(f11,definition,
( ( f1 @ sF4 )
= sF5 ),
introduced(definition,[],[function_definition]) ).
thf(f12,definition,
( sF6
= ( f0 @ sF5 ) ),
introduced(definition,[],[function_definition]) ).
thf(f5,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ x ) ) ) )
!= ( f0 @ ( f1 @ ( f1 @ ( f1 @ x ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ x ) ) ) )
!= ( f0 @ ( f1 @ ( f1 @ ( f1 @ x ) ) ) ) ),
inference(flattening,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ x ) ) ) )
!= ( f0 @ ( f1 @ ( f1 @ ( f1 @ x ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ x ) ) ) )
= ( f0 @ ( f1 @ ( f1 @ ( f1 @ x ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.T9f563swqw/DTF2THF_9872.p',kaminski2) ).
thf(f187,plain,
( spl7_21
| spl7_24 ),
inference(avatar_split_clause,[status(thm)],[f14,f172,f156]) ).
thf(f156,definition,
( spl7_21
<=> ( $true = sF3 ) ),
introduced(definition,[new_symbols(naming,[spl7_21])],[avatar_definition]) ).
thf(f172,definition,
( spl7_24
<=> ( $true = sF6 ) ),
introduced(definition,[new_symbols(naming,[spl7_24])],[avatar_definition]) ).
thf(f14,plain,
( ( $true = sF3 )
| ( $true = sF6 ) ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f186,plain,
( spl7_20
| spl7_11
| spl7_15 ),
inference(avatar_split_clause,[status(thm)],[f19,f123,f104,f152]) ).
thf(f152,definition,
( spl7_20
<=> ( $false = sF2 ) ),
introduced(definition,[new_symbols(naming,[spl7_20])],[avatar_definition]) ).
thf(f104,definition,
( spl7_11
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(naming,[spl7_11])],[avatar_definition]) ).
thf(f123,definition,
( spl7_15
<=> ( $true
= ( f0 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl7_15])],[avatar_definition]) ).
thf(f19,plain,
( ( $true
= ( f0 @ $false ) )
| ( $true = sF1 )
| ( $false = sF2 ) ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( ( $true = sF1 )
| ( sF2
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[status(thm)],[f8]) ).
thf(f185,plain,
( spl7_23
| spl7_11
| spl7_14 ),
inference(avatar_split_clause,[status(thm)],[f18,f118,f104,f166]) ).
thf(f166,definition,
( spl7_23
<=> ( $true = sF2 ) ),
introduced(definition,[new_symbols(naming,[spl7_23])],[avatar_definition]) ).
thf(f118,definition,
( spl7_14
<=> ( $false
= ( f0 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl7_14])],[avatar_definition]) ).
thf(f18,plain,
( ( $true = sF2 )
| ( $false
= ( f0 @ $false ) )
| ( $true = sF1 ) ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f184,plain,
( spl7_13
| spl7_12
| spl7_20 ),
inference(avatar_split_clause,[status(thm)],[f21,f152,f109,f113]) ).
thf(f113,definition,
( spl7_13
<=> ( $true
= ( f0 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl7_13])],[avatar_definition]) ).
thf(f109,definition,
( spl7_12
<=> ( $false = sF1 ) ),
introduced(definition,[new_symbols(naming,[spl7_12])],[avatar_definition]) ).
thf(f21,plain,
( ( $true
= ( f0 @ $true ) )
| ( $false = sF2 )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( ( $false = sF1 )
| ( sF2
= ( f0 @ $true ) ) ),
inference(cases_simplifying,[status(thm)],[f8]) ).
thf(f183,plain,
( spl7_23
| spl7_12
| spl7_10 ),
inference(avatar_split_clause,[status(thm)],[f20,f100,f109,f166]) ).
thf(f100,definition,
( spl7_10
<=> ( $false
= ( f0 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl7_10])],[avatar_definition]) ).
thf(f20,plain,
( ( $true = sF2 )
| ( $false = sF1 )
| ( $false
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f182,plain,
( spl7_18
| spl7_14
| spl7_24 ),
inference(avatar_split_clause,[status(thm)],[f25,f172,f118,f140]) ).
thf(f140,definition,
( spl7_18
<=> ( $true = sF5 ) ),
introduced(definition,[new_symbols(naming,[spl7_18])],[avatar_definition]) ).
thf(f25,plain,
( ( $true = sF6 )
| ( $false
= ( f0 @ $false ) )
| ( $true = sF5 ) ),
inference(binary_proxy_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
( ( ( f0 @ $false )
= sF6 )
| ( $true = sF5 ) ),
inference(cases_simplifying,[status(thm)],[f12]) ).
thf(f181,plain,
( spl7_15
| spl7_25
| spl7_18 ),
inference(avatar_split_clause,[status(thm)],[f24,f140,f177,f123]) ).
thf(f24,plain,
( ( $true = sF5 )
| ( $false = sF6 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f23]) ).
thf(f180,plain,
( spl7_19
| spl7_13
| spl7_25 ),
inference(avatar_split_clause,[status(thm)],[f27,f177,f113,f145]) ).
thf(f145,definition,
( spl7_19
<=> ( $false = sF5 ) ),
introduced(definition,[new_symbols(naming,[spl7_19])],[avatar_definition]) ).
thf(f27,plain,
( ( $false = sF6 )
| ( $false = sF5 )
| ( $true
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( ( sF6
= ( f0 @ $true ) )
| ( $false = sF5 ) ),
inference(cases_simplifying,[status(thm)],[f12]) ).
thf(f175,plain,
( spl7_10
| spl7_24
| spl7_19 ),
inference(avatar_split_clause,[status(thm)],[f26,f145,f172,f100]) ).
thf(f26,plain,
( ( $false = sF5 )
| ( $true = sF6 )
| ( $false
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f170,plain,
( spl7_14
| spl7_23
| spl7_21 ),
inference(avatar_split_clause,[status(thm)],[f31,f156,f166,f118]) ).
thf(f31,plain,
( ( $true = sF3 )
| ( $false
= ( f0 @ $false ) )
| ( $true = sF2 ) ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
( ( $true = sF2 )
| ( ( f0 @ $false )
= sF3 ) ),
inference(cases_simplifying,[status(thm)],[f9]) ).
thf(f169,plain,
( spl7_22
| spl7_23
| spl7_15 ),
inference(avatar_split_clause,[status(thm)],[f30,f123,f166,f161]) ).
thf(f30,plain,
( ( $true = sF2 )
| ( $false = sF3 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f164,plain,
( spl7_13
| spl7_22
| spl7_20 ),
inference(avatar_split_clause,[status(thm)],[f33,f152,f161,f113]) ).
thf(f33,plain,
( ( $false = sF3 )
| ( $false = sF2 )
| ( $true
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
( ( $false = sF2 )
| ( sF3
= ( f0 @ $true ) ) ),
inference(cases_simplifying,[status(thm)],[f9]) ).
thf(f159,plain,
( spl7_20
| spl7_10
| spl7_21 ),
inference(avatar_split_clause,[status(thm)],[f32,f156,f100,f152]) ).
thf(f32,plain,
( ( $false = sF2 )
| ( $true = sF3 )
| ( $false
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f150,plain,
( spl7_19
| spl7_8
| spl7_1 ),
inference(avatar_split_clause,[status(thm)],[f37,f59,f90,f145]) ).
thf(f90,definition,
( spl7_8
<=> ( $true
= ( f1 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl7_8])],[avatar_definition]) ).
thf(f59,definition,
( spl7_1
<=> ( $true = sF4 ) ),
introduced(definition,[new_symbols(naming,[spl7_1])],[avatar_definition]) ).
thf(f37,plain,
( ( $false = sF5 )
| ( $true = sF4 )
| ( $true
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
( ( $true = sF4 )
| ( sF5
= ( f1 @ $false ) ) ),
inference(cases_simplifying,[status(thm)],[f11]) ).
thf(f149,plain,
( spl7_18
| spl7_7
| spl7_1 ),
inference(avatar_split_clause,[status(thm)],[f36,f59,f85,f140]) ).
thf(f85,definition,
( spl7_7
<=> ( $false
= ( f1 @ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl7_7])],[avatar_definition]) ).
thf(f36,plain,
( ( $true = sF4 )
| ( $true = sF5 )
| ( $false
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f148,plain,
( spl7_4
| spl7_5
| spl7_19 ),
inference(avatar_split_clause,[status(thm)],[f39,f145,f76,f72]) ).
thf(f72,definition,
( spl7_4
<=> ( $false = sF4 ) ),
introduced(definition,[new_symbols(naming,[spl7_4])],[avatar_definition]) ).
thf(f76,definition,
( spl7_5
<=> ( $true
= ( f1 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl7_5])],[avatar_definition]) ).
thf(f39,plain,
( ( $false = sF4 )
| ( $false = sF5 )
| ( $true
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( ( $false = sF4 )
| ( sF5
= ( f1 @ $true ) ) ),
inference(cases_simplifying,[status(thm)],[f11]) ).
thf(f143,plain,
( spl7_18
| spl7_4
| spl7_2 ),
inference(avatar_split_clause,[status(thm)],[f38,f63,f72,f140]) ).
thf(f63,definition,
( spl7_2
<=> ( $false
= ( f1 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl7_2])],[avatar_definition]) ).
thf(f38,plain,
( ( $true = sF5 )
| ( $false
= ( f1 @ $true ) )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f138,plain,
( spl7_8
| spl7_17
| spl7_3 ),
inference(avatar_split_clause,[status(thm)],[f43,f67,f134,f90]) ).
thf(f134,definition,
( spl7_17
<=> ( x = $true ) ),
introduced(definition,[new_symbols(naming,[spl7_17])],[avatar_definition]) ).
thf(f67,definition,
( spl7_3
<=> ( $false = sF0 ) ),
introduced(definition,[new_symbols(naming,[spl7_3])],[avatar_definition]) ).
thf(f43,plain,
( ( $true
= ( f1 @ $false ) )
| ( x = $true )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
( ( x = $true )
| ( sF0
= ( f1 @ $false ) ) ),
inference(cases_simplifying,[status(thm)],[f6]) ).
thf(f137,plain,
( spl7_6
| spl7_7
| spl7_17 ),
inference(avatar_split_clause,[status(thm)],[f42,f134,f85,f81]) ).
thf(f81,definition,
( spl7_6
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(naming,[spl7_6])],[avatar_definition]) ).
thf(f42,plain,
( ( $true = sF0 )
| ( x = $true )
| ( $false
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f132,plain,
( spl7_3
| spl7_16
| spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f45,f76,f128,f67]) ).
thf(f128,definition,
( spl7_16
<=> ( x = $false ) ),
introduced(definition,[new_symbols(naming,[spl7_16])],[avatar_definition]) ).
thf(f45,plain,
( ( $true
= ( f1 @ $true ) )
| ( x = $false )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( ( sF0
= ( f1 @ $true ) )
| ( x = $false ) ),
inference(cases_simplifying,[status(thm)],[f6]) ).
thf(f131,plain,
( spl7_6
| spl7_16
| spl7_2 ),
inference(avatar_split_clause,[status(thm)],[f44,f63,f128,f81]) ).
thf(f44,plain,
( ( x = $false )
| ( $true = sF0 )
| ( $false
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f126,plain,
( spl7_12
| spl7_15
| spl7_6 ),
inference(avatar_split_clause,[status(thm)],[f49,f81,f123,f109]) ).
thf(f49,plain,
( ( $true
= ( f0 @ $false ) )
| ( $true = sF0 )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( ( $true = sF0 )
| ( sF1
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[status(thm)],[f7]) ).
thf(f121,plain,
( spl7_6
| spl7_14
| spl7_11 ),
inference(avatar_split_clause,[status(thm)],[f48,f104,f118,f81]) ).
thf(f48,plain,
( ( $true = sF0 )
| ( $true = sF1 )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f116,plain,
( spl7_3
| spl7_12
| spl7_13 ),
inference(avatar_split_clause,[status(thm)],[f51,f113,f109,f67]) ).
thf(f51,plain,
( ( $false = sF0 )
| ( $false = sF1 )
| ( $true
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
( ( $false = sF0 )
| ( sF1
= ( f0 @ $true ) ) ),
inference(cases_simplifying,[status(thm)],[f7]) ).
thf(f107,plain,
( spl7_10
| spl7_11
| spl7_3 ),
inference(avatar_split_clause,[status(thm)],[f50,f67,f104,f100]) ).
thf(f50,plain,
( ( $false = sF0 )
| ( $true = sF1 )
| ( $false
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f46]) ).
thf(f98,plain,
~ spl7_9,
inference(avatar_split_clause,[status(thm)],[f3,f95]) ).
thf(f95,definition,
( spl7_9
<=> ( $false = $true ) ),
introduced(definition,[new_symbols(naming,[spl7_9])],[avatar_definition]) ).
thf(f3,plain,
$false != $true,
introduced(definition,[],[fool_axiom]) ).
thf(f93,plain,
( spl7_6
| spl7_4
| spl7_8 ),
inference(avatar_split_clause,[status(thm)],[f55,f90,f72,f81]) ).
thf(f55,plain,
( ( $true = sF0 )
| ( $false = sF4 )
| ( $true
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
( ( $true = sF0 )
| ( sF4
= ( f1 @ $false ) ) ),
inference(cases_simplifying,[status(thm)],[f10]) ).
thf(f88,plain,
( spl7_6
| spl7_1
| spl7_7 ),
inference(avatar_split_clause,[status(thm)],[f54,f85,f59,f81]) ).
thf(f54,plain,
( ( $false
= ( f1 @ $false ) )
| ( $true = sF0 )
| ( $true = sF4 ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f79,plain,
( spl7_4
| spl7_5
| spl7_3 ),
inference(avatar_split_clause,[status(thm)],[f57,f67,f76,f72]) ).
thf(f57,plain,
( ( $false = sF0 )
| ( $true
= ( f1 @ $true ) )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
( ( sF4
= ( f1 @ $true ) )
| ( $false = sF0 ) ),
inference(cases_simplifying,[status(thm)],[f10]) ).
thf(f70,plain,
( spl7_1
| spl7_2
| spl7_3 ),
inference(avatar_split_clause,[status(thm)],[f56,f67,f63,f59]) ).
thf(f56,plain,
( ( $false = sF0 )
| ( $true = sF4 )
| ( $false
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO500^1.002 : TPTP v9.2.1. Released v4.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 14:32:30 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.32/0.48 ---- Original DTF file ---
% 0.32/0.49 thf(spec,logic,$$dhol).
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 % File : SYO500^1.002 : TPTP v9.2.1. Released v4.1.0.
% 0.32/0.49 % Domain : Syntactic
% 0.32/0.49 % Problem : Two function variant of the Kaminski equation
% 0.32/0.49 % Version : Especial.
% 0.32/0.49 % English :
% 0.32/0.49
% 0.32/0.49 % Refs : [Bro09] Brown E. (2009), Email to Geoff Sutcliffe
% 0.32/0.49 % : [Hoe09] Hoeschele (2009), Towards a Semi-Automatic Higher-Orde
% 0.32/0.49 % Source : [Bro09]
% 0.32/0.49 % Names : basic10 [Bro09]
% 0.32/0.49
% 0.32/0.49 % Status : Theorem
% 0.32/0.49 % Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.08 v8.1.0, 0.18 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.80 v4.1.0
% 0.32/0.49 % Syntax : Number of formulae : 4 ( 1 unt; 3 typ; 0 def)
% 0.32/0.49 % Number of atoms : 11 ( 1 equ; 0 cnn)
% 0.32/0.49 % Maximal formula atoms : 1 ( 11 avg)
% 0.32/0.49 % Number of connectives : 8 ( 0 ~; 0 |; 0 &; 8 @)
% 0.32/0.49 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.32/0.49 % Maximal formula depth : 1 ( 1 avg)
% 0.32/0.49 % Number of types : 1 ( 0 usr)
% 0.32/0.49 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.32/0.49 % Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% 0.32/0.49 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.32/0.49 % SPC : TH0_THM_EQU_NAR
% 0.32/0.49
% 0.32/0.49 % Comments :
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 thf(x,type,
% 0.32/0.49 x: $o ).
% 0.32/0.49
% 0.32/0.49 thf(f0,type,
% 0.32/0.49 f0: $o > $o ).
% 0.32/0.49
% 0.32/0.49 thf(f1,type,
% 0.32/0.49 f1: $o > $o ).
% 0.32/0.49
% 0.32/0.49 thf(kaminski2,conjecture,
% 0.32/0.49 ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ x ) ) ) )
% 0.32/0.49 = ( f0 @ ( f1 @ ( f1 @ ( f1 @ x ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 ------------------------
% 1.80/1.56 ---- Embedded in THF ---
% 1.80/1.56 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.80/1.56 %%% Generated on Tue Feb 24 14:32:31 EST 2026
% 1.80/1.56 %%% using '$$dhol' embedding, version 1.3.0.
% 1.80/1.56 %%% Logic specification used:
% 1.80/1.56 %%% thf(spec, logic, $$dhol).
% 1.80/1.56
% 1.80/1.56 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.T9f563swqw/DTF2DTF9872.p
% See solution above
% 1.80/1.56 ------------------------
% 1.80/1.57 ---- Cleaned THF ---
% 1.80/1.57 thf(x,type,
% 1.80/1.57 x: $o ).
% 1.80/1.57
% 1.80/1.57 thf(f0,type,
% 1.80/1.57 f0: $o > $o ).
% 1.80/1.57
% 1.80/1.57 thf(f1,type,
% 1.80/1.57 f1: $o > $o ).
% 1.80/1.57
% 1.80/1.57 thf(kaminski2,conjecture,
% 1.80/1.57 ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ x ) ) ) )
% 1.80/1.57 = ( f0 @ ( f1 @ ( f1 @ ( f1 @ x ) ) ) ) ) ).
% 1.80/1.57 ------------------------
% 1.80/1.59 % (9971)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_9872 for (3000ds/4Mi)
% 1.80/1.59 % (9974)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_9872 for (3000ds/2Mi)
% 1.80/1.59 % (9970)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_9872 for (3000ds/183Mi)
% 1.80/1.59 % (9972)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_9872 for (3000ds/27Mi)
% 1.80/1.59 % (9973)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_9872 for (3000ds/2Mi)
% 1.80/1.59 % (9975)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_9872 for (3000ds/275Mi)
% 1.80/1.59 % (9976)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_9872 for (3000ds/18Mi)
% 1.80/1.59 % (9974)Refutation not found, incomplete strategy
% 1.80/1.59 % (9974)------------------------------
% 1.80/1.59 % (9974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.59 % (9974)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.59
% 1.80/1.59
% 1.80/1.59 % (9972)Refutation not found, incomplete strategy
% 1.80/1.59 % (9972)------------------------------
% 1.80/1.59 % (9972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.59 % (9974)Memory used [KB]: 5500
% 1.80/1.59 % (9974)Time elapsed: 0.003 s
% 1.80/1.59 % (9974)Instructions burned: 1 (million)
% 1.80/1.59 % (9974)------------------------------
% 1.80/1.59 % (9974)------------------------------
% 1.80/1.59 % (9973)Refutation not found, incomplete strategy
% 1.80/1.59 % (9973)------------------------------
% 1.80/1.59 % (9973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.59 % (9973)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.59
% 1.80/1.59
% 1.80/1.59 % (9973)Memory used [KB]: 5500
% 1.80/1.59 % (9973)Time elapsed: 0.002 s
% 1.80/1.59 % (9973)Instructions burned: 1 (million)
% 1.80/1.59 % (9973)------------------------------
% 1.80/1.59 % (9973)------------------------------
% 1.80/1.59 % (9972)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.59
% 1.80/1.59
% 1.80/1.59 % (9972)Memory used [KB]: 5500
% 1.80/1.59 % (9972)Time elapsed: 0.003 s
% 1.80/1.59 % (9972)Instructions burned: 1 (million)
% 1.80/1.59 % (9972)------------------------------
% 1.80/1.59 % (9972)------------------------------
% 1.80/1.59 % (9975)Refutation not found, incomplete strategy
% 1.80/1.59 % (9975)------------------------------
% 1.80/1.59 % (9975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.59 % (9975)Termination reason: Refutation not found, incomplete strategy
% 1.80/1.59
% 1.80/1.59
% 1.80/1.59 % (9975)Memory used [KB]: 5500
% 1.80/1.59 % (9975)Time elapsed: 0.002 s
% 1.80/1.59 % (9975)Instructions burned: 1 (million)
% 1.80/1.59 % (9975)------------------------------
% 1.80/1.59 % (9975)------------------------------
% 1.80/1.59 % (9971)Instruction limit reached!
% 1.80/1.59 % (9971)------------------------------
% 1.80/1.59 % (9971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.59 % (9971)Termination reason: Unknown
% 1.80/1.59 % (9971)Termination phase: Saturation
% 1.80/1.59
% 1.80/1.59 % (9971)Memory used [KB]: 5500
% 1.80/1.59 % (9971)Time elapsed: 0.004 s
% 1.80/1.59 % (9971)Instructions burned: 4 (million)
% 1.80/1.59 % (9971)------------------------------
% 1.80/1.59 % (9971)------------------------------
% 1.92/1.60 % (9976)Instruction limit reached!
% 1.92/1.60 % (9976)------------------------------
% 1.92/1.60 % (9976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.60 % (9976)Termination reason: Unknown
% 1.92/1.60 % (9976)Termination phase: Saturation
% 1.92/1.60
% 1.92/1.60 % (9976)Memory used [KB]: 5628
% 1.92/1.60 % (9976)Time elapsed: 0.012 s
% 1.92/1.60 % (9976)Instructions burned: 18 (million)
% 1.92/1.60 % (9976)------------------------------
% 1.92/1.60 % (9976)------------------------------
% 1.92/1.61 % (9978)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 DTF2THF_9872 for (2999ds/37Mi)
% 1.92/1.61 % (9977)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_9872 for (2999ds/3Mi)
% 1.92/1.61 % (9979)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 DTF2THF_9872 for (2999ds/15Mi)
% 1.92/1.61 % (9980)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_9872 for (2999ds/3Mi)
% 1.92/1.61 % (9977)Refutation not found, incomplete strategy
% 1.92/1.61 % (9977)------------------------------
% 1.92/1.61 % (9977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.61 % (9977)Termination reason: Refutation not found, incomplete strategy
% 1.92/1.61
% 1.92/1.61
% 1.92/1.61 % (9977)Memory used [KB]: 5373
% 1.92/1.61 % (9977)Time elapsed: 0.002 s
% 1.92/1.61 % (9977)Instructions burned: 1 (million)
% 1.92/1.61 % (9977)------------------------------
% 1.92/1.61 % (9977)------------------------------
% 1.92/1.61 % (9981)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 DTF2THF_9872 for (2999ds/1041Mi)
% 1.92/1.61 % (9980)Refutation not found, incomplete strategy
% 1.92/1.61 % (9980)------------------------------
% 1.92/1.61 % (9980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.61 % (9980)Termination reason: Refutation not found, incomplete strategy
% 1.92/1.61
% 1.92/1.61
% 1.92/1.61 % (9980)Memory used [KB]: 5373
% 1.92/1.61 % (9980)Time elapsed: 0.002 s
% 1.92/1.61 % (9980)Instructions burned: 1 (million)
% 1.92/1.61 % (9980)------------------------------
% 1.92/1.61 % (9980)------------------------------
% 1.92/1.61 % (9981)Refutation not found, incomplete strategy
% 1.92/1.61 % (9981)------------------------------
% 1.92/1.61 % (9981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.61 % (9981)Termination reason: Refutation not found, incomplete strategy
% 1.92/1.61
% 1.92/1.61
% 1.92/1.61 % (9981)Memory used [KB]: 5500
% 1.92/1.61 % (9981)Time elapsed: 0.004 s
% 1.92/1.61 % (9981)Instructions burned: 4 (million)
% 1.92/1.61 % (9981)------------------------------
% 1.92/1.61 % (9981)------------------------------
% 1.92/1.62 % (9979)Instruction limit reached!
% 1.92/1.62 % (9979)------------------------------
% 1.92/1.62 % (9979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.62 % (9979)Termination reason: Unknown
% 1.92/1.62 % (9979)Termination phase: Saturation
% 1.92/1.62
% 1.92/1.62 % (9979)Memory used [KB]: 5628
% 1.92/1.62 % (9979)Time elapsed: 0.011 s
% 1.92/1.62 % (9979)Instructions burned: 15 (million)
% 1.92/1.62 % (9979)------------------------------
% 1.92/1.62 % (9979)------------------------------
% 1.92/1.62 % (9982)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_9872 for (2999ds/7Mi)
% 1.92/1.62 % (9982)Instruction limit reached!
% 1.92/1.62 % (9982)------------------------------
% 1.92/1.62 % (9982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.62 % (9982)Termination reason: Unknown
% 1.92/1.62 % (9982)Termination phase: Saturation
% 1.92/1.62
% 1.92/1.62 % (9982)Memory used [KB]: 1023
% 1.92/1.62 % (9982)Time elapsed: 0.006 s
% 1.92/1.62 % (9982)Instructions burned: 7 (million)
% 1.92/1.62 % (9982)------------------------------
% 1.92/1.62 % (9982)------------------------------
% 1.92/1.62 % (9983)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_9872 for (2999ds/16Mi)
% 1.92/1.62 % (9984)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 DTF2THF_9872 for (2999ds/3Mi)
% 1.92/1.63 % (9985)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_9872 for (2999ds/3Mi)
% 1.92/1.63 % (9984)Refutation not found, incomplete strategy
% 1.92/1.63 % (9984)------------------------------
% 1.92/1.63 % (9984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.63 % (9984)Termination reason: Refutation not found, incomplete strategy
% 1.92/1.63
% 1.92/1.63
% 1.92/1.63 % (9983)First to succeed.
% 1.92/1.63 % (9984)Memory used [KB]: 5500
% 1.92/1.63 % (9984)Time elapsed: 0.003 s
% 1.92/1.63 % (9984)Instructions burned: 2 (million)
% 1.92/1.63 % (9984)------------------------------
% 1.92/1.63 % (9984)------------------------------
% 1.92/1.63 % (9978)Instruction limit reached!
% 1.92/1.63 % (9978)------------------------------
% 1.92/1.63 % (9978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.63 % (9978)Termination reason: Unknown
% 1.92/1.63 % (9978)Termination phase: Saturation
% 1.92/1.63
% 1.92/1.63 % (9978)Memory used [KB]: 5756
% 1.92/1.63 % (9978)Time elapsed: 0.023 s
% 1.92/1.63 % (9978)Instructions burned: 38 (million)
% 1.92/1.63 % (9978)------------------------------
% 1.92/1.63 % (9978)------------------------------
% 1.92/1.63 % (9985)Instruction limit reached!
% 1.92/1.63 % (9985)------------------------------
% 1.92/1.63 % (9985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.63 % (9985)Termination reason: Unknown
% 1.92/1.63 % (9985)Termination phase: Saturation
% 1.92/1.63
% 1.92/1.63 % (9985)Memory used [KB]: 5500
% 1.92/1.63 % (9985)Time elapsed: 0.004 s
% 1.92/1.63 % (9985)Instructions burned: 4 (million)
% 1.92/1.63 % (9985)------------------------------
% 1.92/1.63 % (9985)------------------------------
% 1.92/1.63 % (9983)Refutation found. Thanks to Tanya!
% 1.92/1.63 % SZS status Theorem for DTF2THF_9872
% 1.92/1.63 % SZS output start Proof for DTF2THF_9872
% 1.92/1.63 thf(func_def_1, type, f0: $o > $o).
% 1.92/1.63 thf(func_def_2, type, f1: $o > $o).
% 1.92/1.63 thf(f201,plain,(
% 1.92/1.63 $false),
% 1.92/1.63 inference(avatar_sat_refutation,[status(thm)],[f70,f79,f88,f93,f98,f107,f116,f121,f126,f131,f132,f137,f138,f143,f148,f149,f150,f159,f164,f169,f170,f175,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200])).
% 1.92/1.63 thf(f200,plain,(
% 1.92/1.63 ($true != sF1) | ($false != sF1) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f199,plain,(
% 1.92/1.63 (x != $true) | (x != $false) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f198,plain,(
% 1.92/1.63 ($false != (f1 @ $true)) | ($true != (f1 @ $true)) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f197,plain,(
% 1.92/1.63 ($false != sF4) | ($true != sF4) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f196,plain,(
% 1.92/1.63 ($true != sF2) | ($false != sF2) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f195,plain,(
% 1.92/1.63 ($true != sF6) | ($false != sF6) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f194,plain,(
% 1.92/1.63 ($true != sF3) | ($false != sF3) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f193,plain,(
% 1.92/1.63 ($true != sF5) | ($false != sF5) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f192,plain,(
% 1.92/1.63 ($true != (f0 @ $false)) | ($false != (f0 @ $false)) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f191,plain,(
% 1.92/1.63 ($true != (f0 @ $true)) | ($false != (f0 @ $true)) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f190,plain,(
% 1.92/1.63 ($true != sF0) | ($false != sF0) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f189,plain,(
% 1.92/1.63 ($true != (f1 @ $false)) | ($false != (f1 @ $false)) | ($false = $true)),
% 1.92/1.63 introduced(definition,[],[theory_tautology_sat_conflict])).
% 1.92/1.63 thf(f188,plain,(
% 1.92/1.63 spl7_22 | spl7_25),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f15,f177,f161])).
% 1.92/1.63 thf(f161,definition,(
% 1.92/1.63 spl7_22 <=> ($false = sF3)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_22])],[avatar_definition])).
% 1.92/1.63 thf(f177,definition,(
% 1.92/1.63 spl7_25 <=> ($false = sF6)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_25])],[avatar_definition])).
% 1.92/1.63 thf(f15,plain,(
% 1.92/1.63 ($false = sF3) | ($false = sF6)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 1.92/1.63 thf(f13,plain,(
% 1.92/1.63 (sF6 != sF3)),
% 1.92/1.63 inference(definition_folding,[status(thm)],[f5,f12,f11,f10,f6,f9,f8,f7,f6])).
% 1.92/1.63 thf(f7,definition,(
% 1.92/1.63 (sF1 = (f0 @ sF0))),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f8,definition,(
% 1.92/1.63 (sF2 = (f0 @ sF1))),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f9,definition,(
% 1.92/1.63 ((f0 @ sF2) = sF3)),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f6,definition,(
% 1.92/1.63 ((f1 @ x) = sF0)),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f10,definition,(
% 1.92/1.63 ((f1 @ sF0) = sF4)),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f11,definition,(
% 1.92/1.63 ((f1 @ sF4) = sF5)),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f12,definition,(
% 1.92/1.63 (sF6 = (f0 @ sF5))),
% 1.92/1.63 introduced(definition,[],[function_definition])).
% 1.92/1.63 thf(f5,plain,(
% 1.92/1.63 ((f0 @ (f0 @ (f0 @ (f1 @ x)))) != (f0 @ (f1 @ (f1 @ (f1 @ x)))))),
% 1.92/1.63 inference(cnf_transformation,[status(thm)],[f4])).
% 1.92/1.63 thf(f4,plain,(
% 1.92/1.63 ((f0 @ (f0 @ (f0 @ (f1 @ x)))) != (f0 @ (f1 @ (f1 @ (f1 @ x)))))),
% 1.92/1.63 inference(flattening,[status(thm)],[f2])).
% 1.92/1.63 thf(f2,negated_conjecture,(
% 1.92/1.63 ~((f0 @ (f0 @ (f0 @ (f1 @ x)))) = (f0 @ (f1 @ (f1 @ (f1 @ x)))))),
% 1.92/1.63 inference(negated_conjecture,[status(cth)],[f1])).
% 1.92/1.63 thf(f1,conjecture,(
% 1.92/1.63 ((f0 @ (f0 @ (f0 @ (f1 @ x)))) = (f0 @ (f1 @ (f1 @ (f1 @ x)))))),
% 1.92/1.63 file('/export/starexec/sandbox/tmp/tmp.T9f563swqw/DTF2THF_9872.p',kaminski2)).
% 1.92/1.63 thf(f187,plain,(
% 1.92/1.63 spl7_21 | spl7_24),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f14,f172,f156])).
% 1.92/1.63 thf(f156,definition,(
% 1.92/1.63 spl7_21 <=> ($true = sF3)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_21])],[avatar_definition])).
% 1.92/1.63 thf(f172,definition,(
% 1.92/1.63 spl7_24 <=> ($true = sF6)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_24])],[avatar_definition])).
% 1.92/1.63 thf(f14,plain,(
% 1.92/1.63 ($true = sF3) | ($true = sF6)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 1.92/1.63 thf(f186,plain,(
% 1.92/1.63 spl7_20 | spl7_11 | spl7_15),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f19,f123,f104,f152])).
% 1.92/1.63 thf(f152,definition,(
% 1.92/1.63 spl7_20 <=> ($false = sF2)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_20])],[avatar_definition])).
% 1.92/1.63 thf(f104,definition,(
% 1.92/1.63 spl7_11 <=> ($true = sF1)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_11])],[avatar_definition])).
% 1.92/1.63 thf(f123,definition,(
% 1.92/1.63 spl7_15 <=> ($true = (f0 @ $false))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_15])],[avatar_definition])).
% 1.92/1.63 thf(f19,plain,(
% 1.92/1.63 ($true = (f0 @ $false)) | ($true = sF1) | ($false = sF2)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.92/1.63 thf(f17,plain,(
% 1.92/1.63 ($true = sF1) | (sF2 = (f0 @ $false))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f8])).
% 1.92/1.63 thf(f185,plain,(
% 1.92/1.63 spl7_23 | spl7_11 | spl7_14),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f18,f118,f104,f166])).
% 1.92/1.63 thf(f166,definition,(
% 1.92/1.63 spl7_23 <=> ($true = sF2)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_23])],[avatar_definition])).
% 1.92/1.63 thf(f118,definition,(
% 1.92/1.63 spl7_14 <=> ($false = (f0 @ $false))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_14])],[avatar_definition])).
% 1.92/1.63 thf(f18,plain,(
% 1.92/1.63 ($true = sF2) | ($false = (f0 @ $false)) | ($true = sF1)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.92/1.63 thf(f184,plain,(
% 1.92/1.63 spl7_13 | spl7_12 | spl7_20),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f21,f152,f109,f113])).
% 1.92/1.63 thf(f113,definition,(
% 1.92/1.63 spl7_13 <=> ($true = (f0 @ $true))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_13])],[avatar_definition])).
% 1.92/1.63 thf(f109,definition,(
% 1.92/1.63 spl7_12 <=> ($false = sF1)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_12])],[avatar_definition])).
% 1.92/1.63 thf(f21,plain,(
% 1.92/1.63 ($true = (f0 @ $true)) | ($false = sF2) | ($false = sF1)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 1.92/1.63 thf(f16,plain,(
% 1.92/1.63 ($false = sF1) | (sF2 = (f0 @ $true))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f8])).
% 1.92/1.63 thf(f183,plain,(
% 1.92/1.63 spl7_23 | spl7_12 | spl7_10),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f20,f100,f109,f166])).
% 1.92/1.63 thf(f100,definition,(
% 1.92/1.63 spl7_10 <=> ($false = (f0 @ $true))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_10])],[avatar_definition])).
% 1.92/1.63 thf(f20,plain,(
% 1.92/1.63 ($true = sF2) | ($false = sF1) | ($false = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 1.92/1.63 thf(f182,plain,(
% 1.92/1.63 spl7_18 | spl7_14 | spl7_24),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f25,f172,f118,f140])).
% 1.92/1.63 thf(f140,definition,(
% 1.92/1.63 spl7_18 <=> ($true = sF5)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_18])],[avatar_definition])).
% 1.92/1.63 thf(f25,plain,(
% 1.92/1.63 ($true = sF6) | ($false = (f0 @ $false)) | ($true = sF5)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f23])).
% 1.92/1.63 thf(f23,plain,(
% 1.92/1.63 ((f0 @ $false) = sF6) | ($true = sF5)),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f12])).
% 1.92/1.63 thf(f181,plain,(
% 1.92/1.63 spl7_15 | spl7_25 | spl7_18),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f24,f140,f177,f123])).
% 1.92/1.63 thf(f24,plain,(
% 1.92/1.63 ($true = sF5) | ($false = sF6) | ($true = (f0 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f23])).
% 1.92/1.63 thf(f180,plain,(
% 1.92/1.63 spl7_19 | spl7_13 | spl7_25),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f27,f177,f113,f145])).
% 1.92/1.63 thf(f145,definition,(
% 1.92/1.63 spl7_19 <=> ($false = sF5)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_19])],[avatar_definition])).
% 1.92/1.63 thf(f27,plain,(
% 1.92/1.63 ($false = sF6) | ($false = sF5) | ($true = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 1.92/1.63 thf(f22,plain,(
% 1.92/1.63 (sF6 = (f0 @ $true)) | ($false = sF5)),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f12])).
% 1.92/1.63 thf(f175,plain,(
% 1.92/1.63 spl7_10 | spl7_24 | spl7_19),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f26,f145,f172,f100])).
% 1.92/1.63 thf(f26,plain,(
% 1.92/1.63 ($false = sF5) | ($true = sF6) | ($false = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 1.92/1.63 thf(f170,plain,(
% 1.92/1.63 spl7_14 | spl7_23 | spl7_21),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f31,f156,f166,f118])).
% 1.92/1.63 thf(f31,plain,(
% 1.92/1.63 ($true = sF3) | ($false = (f0 @ $false)) | ($true = sF2)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 1.92/1.63 thf(f29,plain,(
% 1.92/1.63 ($true = sF2) | ((f0 @ $false) = sF3)),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f9])).
% 1.92/1.63 thf(f169,plain,(
% 1.92/1.63 spl7_22 | spl7_23 | spl7_15),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f30,f123,f166,f161])).
% 1.92/1.63 thf(f30,plain,(
% 1.92/1.63 ($true = sF2) | ($false = sF3) | ($true = (f0 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 1.92/1.63 thf(f164,plain,(
% 1.92/1.63 spl7_13 | spl7_22 | spl7_20),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f33,f152,f161,f113])).
% 1.92/1.63 thf(f33,plain,(
% 1.92/1.63 ($false = sF3) | ($false = sF2) | ($true = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 1.92/1.63 thf(f28,plain,(
% 1.92/1.63 ($false = sF2) | (sF3 = (f0 @ $true))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f9])).
% 1.92/1.63 thf(f159,plain,(
% 1.92/1.63 spl7_20 | spl7_10 | spl7_21),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f32,f156,f100,f152])).
% 1.92/1.63 thf(f32,plain,(
% 1.92/1.63 ($false = sF2) | ($true = sF3) | ($false = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 1.92/1.63 thf(f150,plain,(
% 1.92/1.63 spl7_19 | spl7_8 | spl7_1),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f37,f59,f90,f145])).
% 1.92/1.63 thf(f90,definition,(
% 1.92/1.63 spl7_8 <=> ($true = (f1 @ $false))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_8])],[avatar_definition])).
% 1.92/1.63 thf(f59,definition,(
% 1.92/1.63 spl7_1 <=> ($true = sF4)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_1])],[avatar_definition])).
% 1.92/1.63 thf(f37,plain,(
% 1.92/1.63 ($false = sF5) | ($true = sF4) | ($true = (f1 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 1.92/1.63 thf(f35,plain,(
% 1.92/1.63 ($true = sF4) | (sF5 = (f1 @ $false))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f11])).
% 1.92/1.63 thf(f149,plain,(
% 1.92/1.63 spl7_18 | spl7_7 | spl7_1),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f36,f59,f85,f140])).
% 1.92/1.63 thf(f85,definition,(
% 1.92/1.63 spl7_7 <=> ($false = (f1 @ $false))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_7])],[avatar_definition])).
% 1.92/1.63 thf(f36,plain,(
% 1.92/1.63 ($true = sF4) | ($true = sF5) | ($false = (f1 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 1.92/1.63 thf(f148,plain,(
% 1.92/1.63 spl7_4 | spl7_5 | spl7_19),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f39,f145,f76,f72])).
% 1.92/1.63 thf(f72,definition,(
% 1.92/1.63 spl7_4 <=> ($false = sF4)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_4])],[avatar_definition])).
% 1.92/1.63 thf(f76,definition,(
% 1.92/1.63 spl7_5 <=> ($true = (f1 @ $true))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_5])],[avatar_definition])).
% 1.92/1.63 thf(f39,plain,(
% 1.92/1.63 ($false = sF4) | ($false = sF5) | ($true = (f1 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 1.92/1.63 thf(f34,plain,(
% 1.92/1.63 ($false = sF4) | (sF5 = (f1 @ $true))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f11])).
% 1.92/1.63 thf(f143,plain,(
% 1.92/1.63 spl7_18 | spl7_4 | spl7_2),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f38,f63,f72,f140])).
% 1.92/1.63 thf(f63,definition,(
% 1.92/1.63 spl7_2 <=> ($false = (f1 @ $true))),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_2])],[avatar_definition])).
% 1.92/1.63 thf(f38,plain,(
% 1.92/1.63 ($true = sF5) | ($false = (f1 @ $true)) | ($false = sF4)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 1.92/1.63 thf(f138,plain,(
% 1.92/1.63 spl7_8 | spl7_17 | spl7_3),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f43,f67,f134,f90])).
% 1.92/1.63 thf(f134,definition,(
% 1.92/1.63 spl7_17 <=> (x = $true)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_17])],[avatar_definition])).
% 1.92/1.63 thf(f67,definition,(
% 1.92/1.63 spl7_3 <=> ($false = sF0)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_3])],[avatar_definition])).
% 1.92/1.63 thf(f43,plain,(
% 1.92/1.63 ($true = (f1 @ $false)) | (x = $true) | ($false = sF0)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 1.92/1.63 thf(f41,plain,(
% 1.92/1.63 (x = $true) | (sF0 = (f1 @ $false))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f6])).
% 1.92/1.63 thf(f137,plain,(
% 1.92/1.63 spl7_6 | spl7_7 | spl7_17),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f42,f134,f85,f81])).
% 1.92/1.63 thf(f81,definition,(
% 1.92/1.63 spl7_6 <=> ($true = sF0)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_6])],[avatar_definition])).
% 1.92/1.63 thf(f42,plain,(
% 1.92/1.63 ($true = sF0) | (x = $true) | ($false = (f1 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 1.92/1.63 thf(f132,plain,(
% 1.92/1.63 spl7_3 | spl7_16 | spl7_5),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f45,f76,f128,f67])).
% 1.92/1.63 thf(f128,definition,(
% 1.92/1.63 spl7_16 <=> (x = $false)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_16])],[avatar_definition])).
% 1.92/1.63 thf(f45,plain,(
% 1.92/1.63 ($true = (f1 @ $true)) | (x = $false) | ($false = sF0)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 1.92/1.63 thf(f40,plain,(
% 1.92/1.63 (sF0 = (f1 @ $true)) | (x = $false)),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f6])).
% 1.92/1.63 thf(f131,plain,(
% 1.92/1.63 spl7_6 | spl7_16 | spl7_2),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f44,f63,f128,f81])).
% 1.92/1.63 thf(f44,plain,(
% 1.92/1.63 (x = $false) | ($true = sF0) | ($false = (f1 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 1.92/1.63 thf(f126,plain,(
% 1.92/1.63 spl7_12 | spl7_15 | spl7_6),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f49,f81,f123,f109])).
% 1.92/1.63 thf(f49,plain,(
% 1.92/1.63 ($true = (f0 @ $false)) | ($true = sF0) | ($false = sF1)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 1.92/1.63 thf(f47,plain,(
% 1.92/1.63 ($true = sF0) | (sF1 = (f0 @ $false))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f7])).
% 1.92/1.63 thf(f121,plain,(
% 1.92/1.63 spl7_6 | spl7_14 | spl7_11),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f48,f104,f118,f81])).
% 1.92/1.63 thf(f48,plain,(
% 1.92/1.63 ($true = sF0) | ($true = sF1) | ($false = (f0 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 1.92/1.63 thf(f116,plain,(
% 1.92/1.63 spl7_3 | spl7_12 | spl7_13),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f51,f113,f109,f67])).
% 1.92/1.63 thf(f51,plain,(
% 1.92/1.63 ($false = sF0) | ($false = sF1) | ($true = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f46])).
% 1.92/1.63 thf(f46,plain,(
% 1.92/1.63 ($false = sF0) | (sF1 = (f0 @ $true))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f7])).
% 1.92/1.63 thf(f107,plain,(
% 1.92/1.63 spl7_10 | spl7_11 | spl7_3),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f50,f67,f104,f100])).
% 1.92/1.63 thf(f50,plain,(
% 1.92/1.63 ($false = sF0) | ($true = sF1) | ($false = (f0 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f46])).
% 1.92/1.63 thf(f98,plain,(
% 1.92/1.63 ~spl7_9),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f3,f95])).
% 1.92/1.63 thf(f95,definition,(
% 1.92/1.63 spl7_9 <=> ($false = $true)),
% 1.92/1.63 introduced(definition,[new_symbols(naming,[spl7_9])],[avatar_definition])).
% 1.92/1.63 thf(f3,plain,(
% 1.92/1.63 ($false != $true)),
% 1.92/1.63 introduced(definition,[],[fool_axiom])).
% 1.92/1.63 thf(f93,plain,(
% 1.92/1.63 spl7_6 | spl7_4 | spl7_8),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f55,f90,f72,f81])).
% 1.92/1.63 thf(f55,plain,(
% 1.92/1.63 ($true = sF0) | ($false = sF4) | ($true = (f1 @ $false))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 1.92/1.63 thf(f53,plain,(
% 1.92/1.63 ($true = sF0) | (sF4 = (f1 @ $false))),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f10])).
% 1.92/1.63 thf(f88,plain,(
% 1.92/1.63 spl7_6 | spl7_1 | spl7_7),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f54,f85,f59,f81])).
% 1.92/1.63 thf(f54,plain,(
% 1.92/1.63 ($false = (f1 @ $false)) | ($true = sF0) | ($true = sF4)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 1.92/1.63 thf(f79,plain,(
% 1.92/1.63 spl7_4 | spl7_5 | spl7_3),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f57,f67,f76,f72])).
% 1.92/1.63 thf(f57,plain,(
% 1.92/1.63 ($false = sF0) | ($true = (f1 @ $true)) | ($false = sF4)),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 1.92/1.63 thf(f52,plain,(
% 1.92/1.63 (sF4 = (f1 @ $true)) | ($false = sF0)),
% 1.92/1.63 inference(cases_simplifying,[status(thm)],[f10])).
% 1.92/1.63 thf(f70,plain,(
% 1.92/1.63 spl7_1 | spl7_2 | spl7_3),
% 1.92/1.63 inference(avatar_split_clause,[status(thm)],[f56,f67,f63,f59])).
% 1.92/1.63 thf(f56,plain,(
% 1.92/1.63 ($false = sF0) | ($true = sF4) | ($false = (f1 @ $true))),
% 1.92/1.63 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 1.92/1.63 % SZS output end Proof for DTF2THF_9872
% 1.92/1.63 % (9983)------------------------------
% 1.92/1.63 % (9983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.92/1.63 % (9983)Termination reason: Refutation
% 1.92/1.63
% 1.92/1.63 % (9983)Memory used [KB]: 5500
% 1.92/1.63 % (9983)Time elapsed: 0.005 s
% 1.92/1.63 % (9983)Instructions burned: 4 (million)
% 1.92/1.63 % (9983)------------------------------
% 1.92/1.63 % (9983)------------------------------
% 1.92/1.63 % (9969)Success in time 0.05 s
%------------------------------------------------------------------------------