TSTP Solution File: SEU852^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU852^5 : 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 : n014.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 04:06:53 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 68 ( 1 unt; 15 typ; 0 def)
% Number of atoms : 775 ( 201 equ; 0 cnn)
% Maximal formula atoms : 32 ( 14 avg)
% Number of connectives : 355 ( 124 ~; 121 |; 69 &; 0 @)
% ( 11 <=>; 28 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 54 ( 53 >; 1 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 10 con; 0-6 aty)
% Number of variables : 114 ( 0 ^ 78 !; 30 ?; 114 :)
% ( 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_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f117,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f44,f55,f56,f63,f106,f114,f116]) ).
thf(f116,plain,
( spl5_6
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f115,f61,f58]) ).
thf(f58,plain,
( spl5_6
<=> ! [X6: a] :
( ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
thf(f61,plain,
( spl5_7
<=> ! [X5: a] :
( ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK0,X5) )
| ( $true != vAPP(a,$o,sK2,X5) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
thf(f115,plain,
( ! [X5: a] :
( ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) )
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f62,f17]) ).
thf(f17,plain,
! [X8: a] :
( ( $true = vAPP(a,$o,sK2,X8) )
| ( $true != vAPP(a,$o,sK0,X8) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ( ( $true != vAPP(a,$o,sK1,sK3) )
& ( $true != vAPP(a,$o,sK1,sK3) )
& ( $true = vAPP(a,$o,sK2,sK3) )
& ( $true = vAPP(a,$o,sK0,sK3) ) )
| ( ( $true != vAPP(a,$o,sK1,sK4) )
& ( $true = vAPP(a,$o,sK0,sK4) ) ) )
& ( ! [X5: a] :
( ( $true = vAPP(a,$o,sK1,X5) )
| ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) )
| ! [X6: a] :
( ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,sK2,X7) )
| ( $true != vAPP(a,$o,sK1,X7) ) )
& ! [X8: a] :
( ( $true = vAPP(a,$o,sK2,X8) )
| ( $true != vAPP(a,$o,sK0,X8) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f12,f15,f14,f13]) ).
thf(f13,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X3: a] :
( ( vAPP(a,$o,X1,X3) != $true )
& ( vAPP(a,$o,X1,X3) != $true )
& ( vAPP(a,$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,X1,X5) )
| ( $true = vAPP(a,$o,X1,X5) )
| ( $true != vAPP(a,$o,X2,X5) )
| ( $true != vAPP(a,$o,X0,X5) ) )
| ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X0,X6) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,X2,X7) )
| ( $true != vAPP(a,$o,X1,X7) ) )
& ! [X8: a] :
( ( $true = vAPP(a,$o,X2,X8) )
| ( $true != vAPP(a,$o,X0,X8) ) ) )
=> ( ( ? [X3: a] :
( ( $true != vAPP(a,$o,sK1,X3) )
& ( $true != vAPP(a,$o,sK1,X3) )
& ( $true = vAPP(a,$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,sK1,X5) )
| ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) ) )
| ! [X6: a] :
( ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,sK2,X7) )
| ( $true != vAPP(a,$o,sK1,X7) ) )
& ! [X8: a] :
( ( $true = vAPP(a,$o,sK2,X8) )
| ( $true != vAPP(a,$o,sK0,X8) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ? [X3: a] :
( ( $true != vAPP(a,$o,sK1,X3) )
& ( $true != vAPP(a,$o,sK1,X3) )
& ( $true = vAPP(a,$o,sK2,X3) )
& ( $true = vAPP(a,$o,sK0,X3) ) )
=> ( ( $true != vAPP(a,$o,sK1,sK3) )
& ( $true != vAPP(a,$o,sK1,sK3) )
& ( $true = vAPP(a,$o,sK2,sK3) )
& ( $true = vAPP(a,$o,sK0,sK3) ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
( ? [X4: a] :
( ( $true != vAPP(a,$o,sK1,X4) )
& ( $true = vAPP(a,$o,sK0,X4) ) )
=> ( ( $true != vAPP(a,$o,sK1,sK4) )
& ( $true = vAPP(a,$o,sK0,sK4) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X3: a] :
( ( vAPP(a,$o,X1,X3) != $true )
& ( vAPP(a,$o,X1,X3) != $true )
& ( vAPP(a,$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,X1,X5) )
| ( $true = vAPP(a,$o,X1,X5) )
| ( $true != vAPP(a,$o,X2,X5) )
| ( $true != vAPP(a,$o,X0,X5) ) )
| ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X0,X6) ) ) )
& ! [X7: a] :
( ( $true = vAPP(a,$o,X2,X7) )
| ( $true != vAPP(a,$o,X1,X7) ) )
& ! [X8: a] :
( ( $true = vAPP(a,$o,X2,X8) )
| ( $true != vAPP(a,$o,X0,X8) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X6: a] :
( ( $true != vAPP(a,$o,X1,X6) )
& ( $true != vAPP(a,$o,X1,X6) )
& ( $true = vAPP(a,$o,X2,X6) )
& ( $true = vAPP(a,$o,X0,X6) ) )
| ? [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) ) )
& ( ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
| ( $true = vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X2,X6) )
| ( $true != vAPP(a,$o,X0,X6) ) )
| ! [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 ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) ) ),
inference(flattening,[],[f10]) ).
thf(f10,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X6: a] :
( ( $true != vAPP(a,$o,X1,X6) )
& ( $true != vAPP(a,$o,X1,X6) )
& ( $true = vAPP(a,$o,X2,X6) )
& ( $true = vAPP(a,$o,X0,X6) ) )
| ? [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) ) )
& ( ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
| ( $true = vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X2,X6) )
| ( $true != vAPP(a,$o,X0,X6) ) )
| ! [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 ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X5: a] :
( ( $true = vAPP(a,$o,X1,X5) )
| ( $true != vAPP(a,$o,X0,X5) ) )
<~> ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
| ( $true = vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X2,X6) )
| ( $true != vAPP(a,$o,X0,X6) ) ) )
& ! [X3: a] :
( ( vAPP(a,$o,X2,X3) = $true )
| ( vAPP(a,$o,X1,X3) != $true ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X5: a] :
( ( $true = vAPP(a,$o,X1,X5) )
| ( $true != vAPP(a,$o,X0,X5) ) )
<~> ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
| ( $true = vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X2,X6) )
| ( $true != vAPP(a,$o,X0,X6) ) ) )
& ! [X3: a] :
( ( vAPP(a,$o,X2,X3) = $true )
| ( vAPP(a,$o,X1,X3) != $true ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X2,X4) )
| ( $true != vAPP(a,$o,X0,X4) ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( vAPP(a,$o,X1,X3) = $true )
=> ( vAPP(a,$o,X2,X3) = $true ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X0,X4) )
=> ( $true = vAPP(a,$o,X2,X4) ) ) )
=> ( ! [X5: a] :
( ( $true = vAPP(a,$o,X0,X5) )
=> ( $true = vAPP(a,$o,X1,X5) ) )
<=> ! [X6: a] :
( ( ( $true != vAPP(a,$o,X1,X6) )
& ( $true = vAPP(a,$o,X2,X6) )
& ( $true = vAPP(a,$o,X0,X6) ) )
=> ( $true = vAPP(a,$o,X1,X6) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( vAPP(a,$o,X1,X3) = $true )
=> ( vAPP(a,$o,X2,X3) = $true ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X0,X4) )
=> ( $true = vAPP(a,$o,X2,X4) ) ) )
=> ( ! [X5: a] :
( ( $true = vAPP(a,$o,X0,X5) )
=> ( $true = vAPP(a,$o,X1,X5) ) )
<=> ! [X6: a] :
( ( ( $true != vAPP(a,$o,X1,X6) )
& ( $true = vAPP(a,$o,X2,X6) )
& ( $true = vAPP(a,$o,X0,X6) ) )
=> ( $true = vAPP(a,$o,X1,X6) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( vAPP(a,$o,X1,X3)
=> vAPP(a,$o,X2,X3) )
& ! [X4: a] :
( vAPP(a,$o,X0,X4)
=> vAPP(a,$o,X2,X4) ) )
=> ( ! [X5: a] :
( vAPP(a,$o,X0,X5)
=> vAPP(a,$o,X1,X5) )
<=> ! [X6: a] :
( ( ~ vAPP(a,$o,X1,X6)
& vAPP(a,$o,X2,X6)
& vAPP(a,$o,X0,X6) )
=> vAPP(a,$o,X1,X6) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( vAPP(a,$o,X1,X3)
=> vAPP(a,$o,X2,X3) )
& ! [X3: a] :
( vAPP(a,$o,X0,X3)
=> vAPP(a,$o,X2,X3) ) )
=> ( ! [X3: a] :
( vAPP(a,$o,X0,X3)
=> vAPP(a,$o,X1,X3) )
<=> ! [X3: a] :
( ( ~ vAPP(a,$o,X1,X3)
& vAPP(a,$o,X2,X3)
& vAPP(a,$o,X0,X3) )
=> vAPP(a,$o,X1,X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( vAPP(a,$o,X1,X3)
=> vAPP(a,$o,X2,X3) )
& ! [X3: a] :
( vAPP(a,$o,X0,X3)
=> vAPP(a,$o,X2,X3) ) )
=> ( ! [X3: a] :
( vAPP(a,$o,X0,X3)
=> vAPP(a,$o,X1,X3) )
<=> ! [X3: a] :
( ( ~ vAPP(a,$o,X1,X3)
& vAPP(a,$o,X2,X3)
& vAPP(a,$o,X0,X3) )
=> vAPP(a,$o,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM36_pme) ).
thf(f62,plain,
( ! [X5: a] :
( ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK0,X5) )
| ( $true != vAPP(a,$o,sK2,X5) ) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f114,plain,
( spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f113]) ).
thf(f113,plain,
( $false
| spl5_2
| ~ spl5_5
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f112,f36]) ).
thf(f36,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| spl5_2 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f34,plain,
( spl5_2
<=> ( $true = vAPP(a,$o,sK1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
thf(f112,plain,
( ( $true = vAPP(a,$o,sK1,sK3) )
| ~ spl5_5
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f111,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,sK1,sK3) )
| ~ spl5_5
| ~ spl5_6 ),
inference(superposition,[],[f59,f54]) ).
thf(f54,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f52,plain,
( spl5_5
<=> ( $true = vAPP(a,$o,sK0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
thf(f59,plain,
( ! [X6: a] :
( ( $true != vAPP(a,$o,sK0,X6) )
| ( $true = vAPP(a,$o,sK1,X6) ) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f106,plain,
( spl5_1
| ~ spl5_3
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f105]) ).
thf(f105,plain,
( $false
| spl5_1
| ~ spl5_3
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f104]) ).
thf(f104,plain,
( ( $true = $false )
| spl5_1
| ~ spl5_3
| ~ spl5_6 ),
inference(forward_demodulation,[],[f103,f93]) ).
thf(f93,plain,
( ( $false = vAPP(a,$o,sK1,sK4) )
| spl5_1 ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f92,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK4) )
| spl5_1 ),
inference(superposition,[],[f32,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f32,plain,
( ( $true != vAPP(a,$o,sK1,sK4) )
| spl5_1 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f30,plain,
( spl5_1
<=> ( $true = vAPP(a,$o,sK1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
thf(f103,plain,
( ( $true = vAPP(a,$o,sK1,sK4) )
| ~ spl5_3
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f100,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,sK1,sK4) )
| ~ spl5_3
| ~ spl5_6 ),
inference(superposition,[],[f59,f41]) ).
thf(f41,plain,
( ( $true = vAPP(a,$o,sK0,sK4) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f39]) ).
thf(f39,plain,
( spl5_3
<=> ( $true = vAPP(a,$o,sK0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
thf(f63,plain,
( spl5_6
| spl5_7 ),
inference(avatar_split_clause,[],[f28,f61,f58]) ).
thf(f28,plain,
! [X6: a,X5: a] :
( ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) )
| ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ),
inference(duplicate_literal_removal,[],[f19]) ).
thf(f19,plain,
! [X6: a,X5: a] :
( ( $true = vAPP(a,$o,sK1,X5) )
| ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) )
| ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f56,plain,
( spl5_3
| spl5_5 ),
inference(avatar_split_clause,[],[f20,f52,f39]) ).
thf(f20,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f55,plain,
( ~ spl5_1
| spl5_5 ),
inference(avatar_split_clause,[],[f21,f52,f30]) ).
thf(f21,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true != vAPP(a,$o,sK1,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f44,plain,
( spl5_3
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f24,f34,f39]) ).
thf(f24,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f43,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f25,f34,f30]) ).
thf(f25,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| ( $true != vAPP(a,$o,sK1,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU852^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun May 19 17:09:37 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (12822)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (12828)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (12829)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 % (12827)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (12826)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (12826)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38 % (12825)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)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (12825)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38 % (12828)First to succeed.
% 0.13/0.38 % (12828)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12822"
% 0.13/0.38 % (12827)Also succeeded, but the first one will report.
% 0.13/0.38 % (12828)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (12828)------------------------------
% 0.13/0.38 % (12828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (12828)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (12828)Memory used [KB]: 851
% 0.13/0.38 % (12828)Time elapsed: 0.006 s
% 0.13/0.38 % (12828)Instructions burned: 9 (million)
% 0.13/0.38 % (12822)Success in time 0.019 s
%------------------------------------------------------------------------------