TSTP Solution File: SEU853^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU853^5 : 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 : n010.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 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 99 ( 1 unt; 15 typ; 0 def)
% Number of atoms : 1058 ( 260 equ; 0 cnn)
% Maximal formula atoms : 36 ( 12 avg)
% Number of connectives : 536 ( 204 ~; 208 |; 82 &; 0 @)
% ( 12 <=>; 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 : 24 ( 21 usr; 11 con; 0-6 aty)
% Number of variables : 116 ( 0 ^ 80 !; 30 ?; 116 :)
% ( 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(f190,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f76,f89,f98,f113,f136,f141,f159,f160,f176,f189]) ).
thf(f189,plain,
( ~ spl5_2
| ~ spl5_3
| ~ spl5_6
| spl5_7 ),
inference(avatar_contradiction_clause,[],[f188]) ).
thf(f188,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| ~ spl5_6
| spl5_7 ),
inference(trivial_inequality_removal,[],[f187]) ).
thf(f187,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_6
| spl5_7 ),
inference(forward_demodulation,[],[f186,f165]) ).
thf(f165,plain,
( ( $false = vAPP(a,$o,sK1,sK3) )
| spl5_7 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f164,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK3) )
| spl5_7 ),
inference(superposition,[],[f140,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f140,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| spl5_7 ),
inference(avatar_component_clause,[],[f138]) ).
thf(f138,plain,
( spl5_7
<=> ( $true = vAPP(a,$o,sK1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
thf(f186,plain,
( ( $true = vAPP(a,$o,sK1,sK3) )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f185,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,sK1,sK3) )
| ~ spl5_2
| ~ spl5_3
| ~ spl5_6 ),
inference(forward_demodulation,[],[f182,f65]) ).
thf(f65,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f63,plain,
( spl5_2
<=> ( $true = vAPP(a,$o,sK0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
thf(f182,plain,
( ( $true != vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK1,sK3) )
| ~ spl5_3
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f179]) ).
thf(f179,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK1,sK3) )
| ~ spl5_3
| ~ spl5_6 ),
inference(superposition,[],[f88,f70]) ).
thf(f70,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f68]) ).
thf(f68,plain,
( spl5_3
<=> ( $true = vAPP(a,$o,sK2,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
thf(f88,plain,
( ! [X5: a] :
( ( $true != vAPP(a,$o,sK2,X5) )
| ( $true != vAPP(a,$o,sK0,X5) )
| ( $true = vAPP(a,$o,sK1,X5) ) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f87,plain,
( spl5_6
<=> ! [X5: a] :
( ( $true != vAPP(a,$o,sK0,X5) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true = vAPP(a,$o,sK1,X5) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
thf(f176,plain,
( ~ spl5_4
| spl5_2 ),
inference(avatar_split_clause,[],[f22,f63,f73]) ).
thf(f73,plain,
( spl5_4
<=> ( $true = vAPP(a,$o,sK1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
thf(f22,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true != vAPP(a,$o,sK1,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ( ( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true != vAPP(a,$o,sK2,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,sK0,X5) )
& ( $true = vAPP(a,$o,sK2,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,X0,X3) = $true )
| ( vAPP(a,$o,X2,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,X0,X5) )
& ( $true = vAPP(a,$o,X2,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,sK0,X3) )
| ( $true != vAPP(a,$o,sK2,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,sK0,X5) )
& ( $true = vAPP(a,$o,sK2,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,sK0,X3) )
| ( $true != vAPP(a,$o,sK2,X3) ) )
& ( $true != vAPP(a,$o,sK1,X3) )
& ( $true = vAPP(a,$o,sK2,X3) )
& ( $true = vAPP(a,$o,sK0,X3) ) )
=> ( ( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true != vAPP(a,$o,sK2,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,X0,X3) = $true )
| ( vAPP(a,$o,X2,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,X0,X5) )
& ( $true = vAPP(a,$o,X2,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,X0,X6) )
| ( $true != vAPP(a,$o,X2,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,X0,X6) )
& ( $true = vAPP(a,$o,X2,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,X0,X6) )
| ( $true != vAPP(a,$o,X2,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,X0,X6) )
& ( $true = vAPP(a,$o,X2,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,X0,X6) )
& ( $true = vAPP(a,$o,X2,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,X0,X6) )
& ( $true = vAPP(a,$o,X2,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,X0,X6) )
& ( $true = vAPP(a,$o,X2,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,X0,X6) )
& ( $true = vAPP(a,$o,X2,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,$o,X0,X6)
& vAPP(a,$o,X2,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,$o,X0,X3)
& vAPP(a,$o,X2,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,$o,X0,X3)
& vAPP(a,$o,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM35_pme) ).
thf(f160,plain,
( ~ spl5_4
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f26,f138,f73]) ).
thf(f26,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| ( $true != vAPP(a,$o,sK1,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f159,plain,
( ~ spl5_2
| ~ spl5_5
| spl5_7 ),
inference(avatar_contradiction_clause,[],[f158]) ).
thf(f158,plain,
( $false
| ~ spl5_2
| ~ spl5_5
| spl5_7 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true != $true )
| ~ spl5_2
| ~ spl5_5
| spl5_7 ),
inference(superposition,[],[f151,f65]) ).
thf(f151,plain,
( ( $true != vAPP(a,$o,sK0,sK3) )
| ~ spl5_5
| spl5_7 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f150,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK0,sK3) )
| ~ spl5_5
| spl5_7 ),
inference(superposition,[],[f143,f85]) ).
thf(f85,plain,
( ! [X6: a] :
( ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f84,plain,
( spl5_5
<=> ! [X6: a] :
( ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
thf(f143,plain,
( ( $false = vAPP(a,$o,sK1,sK3) )
| spl5_7 ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f142,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK3) )
| spl5_7 ),
inference(superposition,[],[f140,f4]) ).
thf(f141,plain,
( spl5_1
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f25,f138,f59]) ).
thf(f59,plain,
( spl5_1
<=> ( $true = vAPP(a,$o,sK0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
thf(f25,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f136,plain,
( ~ spl5_2
| spl5_4
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f135]) ).
thf(f135,plain,
( $false
| ~ spl5_2
| spl5_4
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f132,plain,
( ( $true != $true )
| ~ spl5_2
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f124,f65]) ).
thf(f124,plain,
( ( $true != vAPP(a,$o,sK0,sK3) )
| spl5_4
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f121,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,sK3) )
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f120,f104]) ).
thf(f104,plain,
( ! [X0: a] :
( ( $true = vAPP(a,$o,sK1,X0) )
| ( $true != vAPP(a,$o,sK0,X0) ) )
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f103,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,X0) )
| ( $true = vAPP(a,$o,sK1,X0) ) )
| ~ spl5_6 ),
inference(duplicate_literal_removal,[],[f100]) ).
thf(f100,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true != vAPP(a,$o,sK0,X0) )
| ( $true = vAPP(a,$o,sK1,X0) )
| ( $true != vAPP(a,$o,sK0,X0) ) )
| ~ spl5_6 ),
inference(superposition,[],[f88,f17]) ).
thf(f17,plain,
! [X8: a] :
( ( $true = vAPP(a,$o,sK2,X8) )
| ( $true != vAPP(a,$o,sK0,X8) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f120,plain,
( ( $true != vAPP(a,$o,sK1,sK3) )
| spl5_4
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f119,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK1,sK3) )
| spl5_4
| ~ spl5_6 ),
inference(forward_demodulation,[],[f25,f111]) ).
thf(f111,plain,
( ( $false = vAPP(a,$o,sK0,sK4) )
| spl5_4
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f110,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK0,sK4) )
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f107,f4]) ).
thf(f107,plain,
( ( $true != vAPP(a,$o,sK0,sK4) )
| spl5_4
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f106,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK0,sK4) )
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f78,f104]) ).
thf(f78,plain,
( ( $false = vAPP(a,$o,sK1,sK4) )
| spl5_4 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK4) )
| spl5_4 ),
inference(superposition,[],[f75,f4]) ).
thf(f75,plain,
( ( $true != vAPP(a,$o,sK1,sK4) )
| spl5_4 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f113,plain,
( ~ spl5_1
| spl5_4
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f112]) ).
thf(f112,plain,
( $false
| ~ spl5_1
| spl5_4
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f109,plain,
( ( $true != $true )
| ~ spl5_1
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f107,f61]) ).
thf(f61,plain,
( ( $true = vAPP(a,$o,sK0,sK4) )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f98,plain,
( ~ spl5_1
| spl5_4
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f97]) ).
thf(f97,plain,
( $false
| ~ spl5_1
| spl5_4
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f94,plain,
( ( $true != $true )
| ~ spl5_1
| spl5_4
| ~ spl5_5 ),
inference(superposition,[],[f92,f61]) ).
thf(f92,plain,
( ( $true != vAPP(a,$o,sK0,sK4) )
| spl5_4
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f91,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK0,sK4) )
| spl5_4
| ~ spl5_5 ),
inference(superposition,[],[f78,f85]) ).
thf(f89,plain,
( spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f29,f87,f84]) ).
thf(f29,plain,
! [X6: a,X5: a] :
( ( $true != vAPP(a,$o,sK0,X5) )
| ( $true = vAPP(a,$o,sK1,X5) )
| ( $true != vAPP(a,$o,sK2,X5) )
| ( $true = vAPP(a,$o,sK1,X6) )
| ( $true != vAPP(a,$o,sK0,X6) ) ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f20,plain,
! [X6: a,X5: a] :
( ( $true != vAPP(a,$o,sK0,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(f76,plain,
( ~ spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f24,f68,f73]) ).
thf(f24,plain,
( ( $true = vAPP(a,$o,sK2,sK3) )
| ( $true != vAPP(a,$o,sK1,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f66,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f21,f63,f59]) ).
thf(f21,plain,
( ( $true = vAPP(a,$o,sK0,sK3) )
| ( $true = vAPP(a,$o,sK0,sK4) ) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU853^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 16:37:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (4079)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (4076)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4078)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (4075)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (4080)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (4077)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)
% 0.14/0.38 % (4081)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)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (4077)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (4078)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (4077)First to succeed.
% 0.14/0.38 % (4077)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4072"
% 0.14/0.38 % (4077)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (4077)------------------------------
% 0.14/0.38 % (4077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (4077)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (4077)Memory used [KB]: 855
% 0.14/0.38 % (4077)Time elapsed: 0.009 s
% 0.14/0.38 % (4077)Instructions burned: 13 (million)
% 0.14/0.38 % (4072)Success in time 0.023 s
%------------------------------------------------------------------------------