TSTP Solution File: SET624^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET624^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 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 : Tue May 21 03:19:45 EDT 2024
% Result : Theorem 0.10s 0.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 102 ( 1 unt; 16 typ; 0 def)
% Number of atoms : 945 ( 221 equ; 0 cnn)
% Maximal formula atoms : 28 ( 10 avg)
% Number of connectives : 441 ( 157 ~; 209 |; 57 &; 0 @)
% ( 13 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 48 ( 47 >; 1 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 14 con; 0-6 aty)
% Number of variables : 93 ( 0 ^ 39 !; 48 ?; 93 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > $o ).
thf(func_def_5,type,
sK1: a > $o ).
thf(func_def_6,type,
sK2: a > $o ).
thf(func_def_7,type,
sK3: a ).
thf(func_def_8,type,
sK4: a ).
thf(func_def_9,type,
sK5: a ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
vOR: $o > $o > $o ).
thf(func_def_15,type,
vIMP: $o > $o > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f187,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f73,f78,f87,f91,f100,f108,f117,f133,f144,f153,f174,f177,f186]) ).
thf(f186,plain,
( spl6_1
| spl6_2
| spl6_5 ),
inference(avatar_split_clause,[],[f179,f75,f61,f57]) ).
thf(f57,plain,
( spl6_1
<=> ( $true = vAPP(a,$o,sK0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
thf(f61,plain,
( spl6_2
<=> ( $true = vAPP(a,$o,sK0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
thf(f75,plain,
( spl6_5
<=> ( $true = vAPP(a,$o,sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
thf(f179,plain,
( ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK0,sK5) )
| spl6_5 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK0,sK5) )
| spl6_5 ),
inference(forward_demodulation,[],[f20,f156]) ).
thf(f156,plain,
( ( $false = vAPP(a,$o,sK2,sK3) )
| spl6_5 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK2,sK3) )
| spl6_5 ),
inference(superposition,[],[f76,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f76,plain,
( ( $true != vAPP(a,$o,sK2,sK3) )
| spl6_5 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f20,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK0,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ( ( ! [X3: a] :
( ( $true != vAPP(a,$o,sK2,X3) )
| ( $true != vAPP(a,$o,sK0,X3) ) )
& ! [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
| ( $true != vAPP(a,$o,sK0,X4) ) ) )
| ! [X5: a] :
( ( ( $true != vAPP(a,$o,sK2,X5) )
& ( $true != vAPP(a,$o,sK1,X5) ) )
| ( $true != vAPP(a,$o,sK0,X5) ) ) )
& ( ( ( $true = vAPP(a,$o,sK2,sK3) )
& ( $true = vAPP(a,$o,sK0,sK3) ) )
| ( ( $true = vAPP(a,$o,sK1,sK4) )
& ( $true = vAPP(a,$o,sK0,sK4) ) )
| ( ( ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) ) )
& ( $true = vAPP(a,$o,sK0,sK5) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f10,f14,f13,f12,f11]) ).
thf(f11,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ! [X3: a] :
( ( vAPP(a,$o,X2,X3) != $true )
| ( vAPP(a,$o,X0,X3) != $true ) )
& ! [X4: a] :
( ( $true != vAPP(a,$o,X1,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) ) )
| ! [X5: a] :
( ( ( $true != vAPP(a,$o,X2,X5) )
& ( $true != vAPP(a,$o,X1,X5) ) )
| ( $true != vAPP(a,$o,X0,X5) ) ) )
& ( ? [X6: a] :
( ( $true = vAPP(a,$o,X2,X6) )
& ( $true = vAPP(a,$o,X0,X6) ) )
| ? [X7: a] :
( ( $true = vAPP(a,$o,X1,X7) )
& ( $true = vAPP(a,$o,X0,X7) ) )
| ? [X8: a] :
( ( ( $true = vAPP(a,$o,X2,X8) )
| ( $true = vAPP(a,$o,X1,X8) ) )
& ( $true = vAPP(a,$o,X0,X8) ) ) ) )
=> ( ( ( ! [X3: a] :
( ( $true != vAPP(a,$o,sK2,X3) )
| ( $true != vAPP(a,$o,sK0,X3) ) )
& ! [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
| ( $true != vAPP(a,$o,sK0,X4) ) ) )
| ! [X5: a] :
( ( ( $true != vAPP(a,$o,sK2,X5) )
& ( $true != vAPP(a,$o,sK1,X5) ) )
| ( $true != vAPP(a,$o,sK0,X5) ) ) )
& ( ? [X6: a] :
( ( $true = vAPP(a,$o,sK2,X6) )
& ( $true = vAPP(a,$o,sK0,X6) ) )
| ? [X7: a] :
( ( $true = vAPP(a,$o,sK1,X7) )
& ( $true = vAPP(a,$o,sK0,X7) ) )
| ? [X8: a] :
( ( ( $true = vAPP(a,$o,sK2,X8) )
| ( $true = vAPP(a,$o,sK1,X8) ) )
& ( $true = vAPP(a,$o,sK0,X8) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X6: a] :
( ( $true = vAPP(a,$o,sK2,X6) )
& ( $true = vAPP(a,$o,sK0,X6) ) )
=> ( ( $true = vAPP(a,$o,sK2,sK3) )
& ( $true = vAPP(a,$o,sK0,sK3) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X7: a] :
( ( $true = vAPP(a,$o,sK1,X7) )
& ( $true = vAPP(a,$o,sK0,X7) ) )
=> ( ( $true = vAPP(a,$o,sK1,sK4) )
& ( $true = vAPP(a,$o,sK0,sK4) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ? [X8: a] :
( ( ( $true = vAPP(a,$o,sK2,X8) )
| ( $true = vAPP(a,$o,sK1,X8) ) )
& ( $true = vAPP(a,$o,sK0,X8) ) )
=> ( ( ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) ) )
& ( $true = vAPP(a,$o,sK0,sK5) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ! [X3: a] :
( ( vAPP(a,$o,X2,X3) != $true )
| ( vAPP(a,$o,X0,X3) != $true ) )
& ! [X4: a] :
( ( $true != vAPP(a,$o,X1,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) ) )
| ! [X5: a] :
( ( ( $true != vAPP(a,$o,X2,X5) )
& ( $true != vAPP(a,$o,X1,X5) ) )
| ( $true != vAPP(a,$o,X0,X5) ) ) )
& ( ? [X6: a] :
( ( $true = vAPP(a,$o,X2,X6) )
& ( $true = vAPP(a,$o,X0,X6) ) )
| ? [X7: a] :
( ( $true = vAPP(a,$o,X1,X7) )
& ( $true = vAPP(a,$o,X0,X7) ) )
| ? [X8: a] :
( ( ( $true = vAPP(a,$o,X2,X8) )
| ( $true = vAPP(a,$o,X1,X8) ) )
& ( $true = vAPP(a,$o,X0,X8) ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ! [X4: a] :
( ( $true != vAPP(a,$o,X2,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) )
& ! [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
| ( $true != vAPP(a,$o,X0,X5) ) ) )
| ! [X3: a] :
( ( ( vAPP(a,$o,X2,X3) != $true )
& ( vAPP(a,$o,X1,X3) != $true ) )
| ( vAPP(a,$o,X0,X3) != $true ) ) )
& ( ? [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X0,X4) ) )
| ? [X5: a] :
( ( $true = vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) )
| ? [X3: a] :
( ( ( vAPP(a,$o,X2,X3) = $true )
| ( vAPP(a,$o,X1,X3) = $true ) )
& ( vAPP(a,$o,X0,X3) = $true ) ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ! [X4: a] :
( ( $true != vAPP(a,$o,X2,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) )
& ! [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
| ( $true != vAPP(a,$o,X0,X5) ) ) )
| ! [X3: a] :
( ( ( vAPP(a,$o,X2,X3) != $true )
& ( vAPP(a,$o,X1,X3) != $true ) )
| ( vAPP(a,$o,X0,X3) != $true ) ) )
& ( ? [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X0,X4) ) )
| ? [X5: a] :
( ( $true = vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) )
| ? [X3: a] :
( ( ( vAPP(a,$o,X2,X3) = $true )
| ( vAPP(a,$o,X1,X3) = $true ) )
& ( vAPP(a,$o,X0,X3) = $true ) ) ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( ( vAPP(a,$o,X2,X3) = $true )
| ( vAPP(a,$o,X1,X3) = $true ) )
& ( vAPP(a,$o,X0,X3) = $true ) )
<~> ( ? [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X0,X4) ) )
| ? [X5: a] :
( ( $true = vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( ( vAPP(a,$o,X2,X3) = $true )
| ( vAPP(a,$o,X1,X3) = $true ) )
& ( vAPP(a,$o,X0,X3) = $true ) )
<=> ( ? [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X0,X4) ) )
| ? [X5: a] :
( ( $true = vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( vAPP(a,$o,X2,X3)
| vAPP(a,$o,X1,X3) )
& vAPP(a,$o,X0,X3) )
<=> ( ? [X4: a] :
( vAPP(a,$o,X2,X4)
& vAPP(a,$o,X0,X4) )
| ? [X5: a] :
( vAPP(a,$o,X1,X5)
& vAPP(a,$o,X0,X5) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( vAPP(a,$o,X2,X3)
| vAPP(a,$o,X1,X3) )
& vAPP(a,$o,X0,X3) )
<=> ( ? [X3: a] :
( vAPP(a,$o,X2,X3)
& vAPP(a,$o,X0,X3) )
| ? [X3: a] :
( vAPP(a,$o,X1,X3)
& vAPP(a,$o,X0,X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ? [X3: a] :
( ( vAPP(a,$o,X2,X3)
| vAPP(a,$o,X1,X3) )
& vAPP(a,$o,X0,X3) )
<=> ( ? [X3: a] :
( vAPP(a,$o,X2,X3)
& vAPP(a,$o,X0,X3) )
| ? [X3: a] :
( vAPP(a,$o,X1,X3)
& vAPP(a,$o,X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_100_pme) ).
thf(f177,plain,
( spl6_6
| spl6_7
| spl6_2
| spl6_5 ),
inference(avatar_split_clause,[],[f176,f75,f61,f84,f80]) ).
thf(f80,plain,
( spl6_6
<=> ( $true = vAPP(a,$o,sK1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
thf(f84,plain,
( spl6_7
<=> ( $true = vAPP(a,$o,sK2,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
thf(f176,plain,
( ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) )
| spl6_5 ),
inference(trivial_inequality_removal,[],[f175]) ).
thf(f175,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) )
| spl6_5 ),
inference(forward_demodulation,[],[f21,f156]) ).
thf(f21,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f174,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f173]) ).
thf(f173,plain,
( $false
| ~ spl6_1
| ~ spl6_7
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f170,plain,
( ( $true != $true )
| ~ spl6_1
| ~ spl6_7
| ~ spl6_9 ),
inference(superposition,[],[f161,f59]) ).
thf(f59,plain,
( ( $true = vAPP(a,$o,sK0,sK5) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f161,plain,
( ( $true != vAPP(a,$o,sK0,sK5) )
| ~ spl6_7
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f160,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK5) )
| ~ spl6_7
| ~ spl6_9 ),
inference(superposition,[],[f107,f86]) ).
thf(f86,plain,
( ( $true = vAPP(a,$o,sK2,sK5) )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f107,plain,
( ! [X5: a] :
( ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f106,plain,
( spl6_9
<=> ! [X5: a] :
( ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
thf(f153,plain,
( spl6_6
| spl6_7
| spl6_2
| ~ spl6_5
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f146,f106,f75,f61,f84,f80]) ).
thf(f146,plain,
( ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) )
| ~ spl6_5
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f145]) ).
thf(f145,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) )
| ~ spl6_5
| ~ spl6_9 ),
inference(forward_demodulation,[],[f17,f115]) ).
thf(f115,plain,
( ( $false = vAPP(a,$o,sK0,sK3) )
| ~ spl6_5
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f114,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK0,sK3) )
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f112,f4]) ).
thf(f112,plain,
( ( $true != vAPP(a,$o,sK0,sK3) )
| ~ spl6_5
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f109,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK3) )
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f107,f77]) ).
thf(f77,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f17,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f144,plain,
( ~ spl6_1
| ~ spl6_6
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f143]) ).
thf(f143,plain,
( $false
| ~ spl6_1
| ~ spl6_6
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f140,plain,
( ( $true != $true )
| ~ spl6_1
| ~ spl6_6
| ~ spl6_8 ),
inference(superposition,[],[f137,f59]) ).
thf(f137,plain,
( ( $true != vAPP(a,$o,sK0,sK5) )
| ~ spl6_6
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f136,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK5) )
| ~ spl6_6
| ~ spl6_8 ),
inference(superposition,[],[f90,f82]) ).
thf(f82,plain,
( ( $true = vAPP(a,$o,sK1,sK5) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f90,plain,
( ! [X5: a] :
( ( $true != vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f89,plain,
( spl6_8
<=> ! [X5: a] :
( ( $true != vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
thf(f133,plain,
( spl6_6
| spl6_7
| spl6_4
| ~ spl6_5
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f132,f106,f75,f70,f84,f80]) ).
thf(f70,plain,
( spl6_4
<=> ( $true = vAPP(a,$o,sK1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
thf(f132,plain,
( ( $true = vAPP(a,$o,sK1,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) )
| ~ spl6_5
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f131,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,sK1,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) )
| ~ spl6_5
| ~ spl6_9 ),
inference(forward_demodulation,[],[f19,f115]) ).
thf(f19,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK1,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f117,plain,
( ~ spl6_3
| ~ spl6_5
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f116]) ).
thf(f116,plain,
( $false
| ~ spl6_3
| ~ spl6_5
| ~ spl6_9 ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f113,plain,
( ( $true != $true )
| ~ spl6_3
| ~ spl6_5
| ~ spl6_9 ),
inference(superposition,[],[f112,f67]) ).
thf(f67,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f65]) ).
thf(f65,plain,
( spl6_3
<=> ( $true = vAPP(a,$o,sK0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
thf(f108,plain,
( spl6_9
| spl6_9 ),
inference(avatar_split_clause,[],[f27,f106,f106]) ).
thf(f27,plain,
! [X3: a,X5: a] :
( ( $true != vAPP(a,$o,sK2,X3) )
| ( $true != vAPP(a,$o,sK0,X3) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f100,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f99]) ).
thf(f99,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f96,plain,
( ( $true != $true )
| ~ spl6_2
| ~ spl6_4
| ~ spl6_8 ),
inference(superposition,[],[f95,f63]) ).
thf(f63,plain,
( ( $true = vAPP(a,$o,sK0,sK4) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f95,plain,
( ( $true != vAPP(a,$o,sK0,sK4) )
| ~ spl6_4
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f92,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK4) )
| ~ spl6_4
| ~ spl6_8 ),
inference(superposition,[],[f90,f72]) ).
thf(f72,plain,
( ( $true = vAPP(a,$o,sK1,sK4) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f91,plain,
( spl6_8
| spl6_8 ),
inference(avatar_split_clause,[],[f24,f89,f89]) ).
thf(f24,plain,
! [X4: a,X5: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
| ( $true != vAPP(a,$o,sK0,X4) )
| ( $true != vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f87,plain,
( spl6_6
| spl6_7
| spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f23,f75,f70,f84,f80]) ).
thf(f23,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ( $true = vAPP(a,$o,sK1,sK4) )
| ( $true = vAPP(a,$o,sK2,sK5) )
| ( $true = vAPP(a,$o,sK1,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f78,plain,
( spl6_1
| spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f22,f75,f70,f57]) ).
thf(f22,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ( $true = vAPP(a,$o,sK1,sK4) )
| ( $true = vAPP(a,$o,sK0,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f73,plain,
( spl6_1
| spl6_4
| spl6_3 ),
inference(avatar_split_clause,[],[f18,f65,f70,f57]) ).
thf(f18,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK1,sK4) )
| ( $true = vAPP(a,$o,sK0,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f68,plain,
( spl6_1
| spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f16,f65,f61,f57]) ).
thf(f16,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) )
| ( $true = vAPP(a,$o,sK0,sK5) ) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET624^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n012.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 11:30:52 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.30 % (25377)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30 % (25378)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.30 % (25380)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.10/0.30 % (25379)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.30 % (25380)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.10/0.31 % Exception at run slice level
% 0.10/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs% Exception at run slice level
% 0.10/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.10/0.31
% 0.10/0.31 % (25380)First to succeed.
% 0.10/0.31 % (25380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25377"
% 0.10/0.31 % (25380)Refutation found. Thanks to Tanya!
% 0.10/0.31 % SZS status Theorem for theBenchmark
% 0.10/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.31 % (25380)------------------------------
% 0.14/0.31 % (25380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (25380)Termination reason: Refutation
% 0.14/0.31
% 0.14/0.31 % (25380)Memory used [KB]: 864
% 0.14/0.31 % (25380)Time elapsed: 0.007 s
% 0.14/0.31 % (25380)Instructions burned: 13 (million)
% 0.14/0.31 % (25377)Success in time 0.003 s
%------------------------------------------------------------------------------