TSTP Solution File: SEV063^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV063^5 : 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 : n007.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 04:14:23 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 45
% Syntax : Number of formulae : 138 ( 3 unt; 27 typ; 0 def)
% Number of atoms : 1822 ( 358 equ; 0 cnn)
% Maximal formula atoms : 28 ( 16 avg)
% Number of connectives : 523 ( 164 ~; 195 |; 110 &; 0 @)
% ( 8 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 218 ( 217 >; 1 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 13 con; 0-6 aty)
% Number of variables : 310 ( 0 ^ 213 !; 91 ?; 310 :)
% ( 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,
sP0: ( a > a > $o ) > $o ).
thf(func_def_5,type,
sP1: ( a > a > $o ) > $o ).
thf(func_def_6,type,
sK2: ( a > a > $o ) > a ).
thf(func_def_7,type,
sK3: ( a > a > $o ) > a ).
thf(func_def_8,type,
sK4: ( a > a > $o ) > a ).
thf(func_def_9,type,
sK5: ( a > a > $o ) > a ).
thf(func_def_10,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_11,type,
sK7: ( a > a > $o ) > a ).
thf(func_def_12,type,
sK8: a > a > $o ).
thf(func_def_13,type,
sK9: a ).
thf(func_def_14,type,
sK10: a ).
thf(func_def_15,type,
sK11: a ).
thf(func_def_16,type,
sK12: a > a > $o ).
thf(func_def_17,type,
sK13: ( a > a > $o ) > a ).
thf(func_def_18,type,
sK14: ( a > a > $o ) > a ).
thf(func_def_19,type,
sK15: ( a > a > $o ) > a ).
thf(func_def_20,type,
sK16: ( a > a > $o ) > a ).
thf(func_def_22,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_23,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_24,type,
vAND: $o > $o > $o ).
thf(func_def_25,type,
vOR: $o > $o > $o ).
thf(func_def_26,type,
vIMP: $o > $o > $o ).
thf(func_def_27,type,
vNOT: $o > $o ).
thf(func_def_28,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1854,plain,
$false,
inference(avatar_sat_refutation,[],[f1318,f1356,f1537,f1575,f1580,f1632,f1776,f1794,f1852]) ).
thf(f1852,plain,
( spl17_55
| ~ spl17_69 ),
inference(avatar_split_clause,[],[f1851,f1573,f1495]) ).
thf(f1495,plain,
( spl17_55
<=> ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_55])]) ).
thf(f1573,plain,
( spl17_69
<=> ! [X0: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,sK12)),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).
thf(f1851,plain,
( ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ~ spl17_69 ),
inference(subsumption_resolution,[],[f1844,f177]) ).
thf(f177,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f176,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(superposition,[],[f31,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f31,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: a > a > $o] :
( ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)) ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f17,f18]) ).
thf(f18,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(rectify,[],[f16]) ).
thf(f16,plain,
! [X10: a > a > $o] :
( ? [X11: a,X12: a,X13: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X12),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X10) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X10: a > a > $o] :
( ? [X11: a,X12: a,X13: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X12),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X10) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f1844,plain,
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,sK12)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,sK12)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ~ spl17_69 ),
inference(trivial_inequality_removal,[],[f1841]) ).
thf(f1841,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,sK12)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,sK12)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ~ spl17_69 ),
inference(superposition,[],[f1574,f149]) ).
thf(f149,plain,
! [X0: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f148,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(superposition,[],[f30,f4]) ).
thf(f30,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK7,X0)) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f1574,plain,
( ! [X0: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,sK12)),X0) ) )
| ~ spl17_69 ),
inference(avatar_component_clause,[],[f1573]) ).
thf(f1794,plain,
( ~ spl17_6
| ~ spl17_55 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
thf(f1793,plain,
( $false
| ~ spl17_6
| ~ spl17_55 ),
inference(trivial_inequality_removal,[],[f1792]) ).
thf(f1792,plain,
( ( $true = $false )
| ~ spl17_6
| ~ spl17_55 ),
inference(forward_demodulation,[],[f246,f1497]) ).
thf(f1497,plain,
( ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ~ spl17_55 ),
inference(avatar_component_clause,[],[f1495]) ).
thf(f246,plain,
( ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f244,plain,
( spl17_6
<=> ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
thf(f1776,plain,
( ~ spl17_5
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f1775]) ).
thf(f1775,plain,
( $false
| ~ spl17_5
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f1757]) ).
thf(f1757,plain,
( ( $true = $false )
| ~ spl17_5
| ~ spl17_18 ),
inference(backward_demodulation,[],[f242,f1378]) ).
thf(f1378,plain,
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) )
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f1365]) ).
thf(f1365,plain,
( ( $true = $false )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) )
| ~ spl17_18 ),
inference(superposition,[],[f135,f358]) ).
thf(f358,plain,
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK10),sK11) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f356]) ).
thf(f356,plain,
( spl17_18
<=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK10),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
thf(f135,plain,
! [X0: a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),sK11) ) ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f116,plain,
! [X0: a] :
( ( $true = $false )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),sK11) ) ),
inference(superposition,[],[f68,f93]) ).
thf(f93,plain,
! [X2: a,X0: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X2),X1) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X2),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f92,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X2),X1) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X2),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),X1) ) ),
inference(superposition,[],[f76,f4]) ).
thf(f76,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X1),X2) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f75]) ).
thf(f75,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X1),X2) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X0),X1) ) ),
inference(superposition,[],[f37,f4]) ).
thf(f37,plain,
! [X6: a,X7: a,X5: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X5),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X6),X7) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X5),X7) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK11) )
& ! [X5: a,X6: a,X7: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X5),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X6),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X5),X6) ) )
& ! [X8: a,X9: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X8),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X8),X9) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,sK10),sK11) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X10) )
| ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X10)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X10)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X10)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X10)) ) ) )
& ! [X13: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,sK9),sK10) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X13) )
| ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X13)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X13)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X13)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X13)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f20,f24,f23,f22,f21]) ).
thf(f21,plain,
( ? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X1),X3) != $true )
& ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) = $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) != $true ) )
& ! [X8: a,X9: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X2),X3) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X10) )
| ? [X11: a,X12: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) ) )
& ! [X13: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,X1),X2) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X13) )
| ? [X14: a,X15: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15) ) ) ) )
=> ( ? [X4: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,sK9),sK11) )
& ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) = $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) != $true ) )
& ! [X9: a,X8: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X8),X9) ) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,sK10),sK11) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X10) )
| ? [X12: a,X11: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X11),X12) ) ) )
& ! [X13: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,sK9),sK10) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X13) )
| ? [X15: a,X14: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X14),X15) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
( ? [X4: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,sK9),sK11) )
& ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) = $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) != $true ) )
& ! [X9: a,X8: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X8),X9) ) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK11) )
& ! [X7: a,X6: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X5),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X6),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X5),X6) ) )
& ! [X9: a,X8: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X8),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X8),X9) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f23,plain,
! [X10: a > a > $o] :
( ? [X12: a,X11: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X11),X12) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X10)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X10)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X10)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X10)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f24,plain,
! [X13: a > a > $o] :
( ? [X15: a,X14: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X14),X15) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X13)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X13)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X13)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X13)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f20,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X1),X3) != $true )
& ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) = $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) != $true ) )
& ! [X8: a,X9: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X2),X3) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X10) )
| ? [X11: a,X12: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) ) )
& ! [X13: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,X1),X2) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X13) )
| ? [X14: a,X15: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15) ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X16: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X1),X3) )
& ! [X17: a,X18: a,X19: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X19) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X18),X19) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X18) ) )
& ! [X20: a,X21: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X20),X21) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X20),X21) ) ) )
& ! [X4: a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) = $true )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X4) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X1),X2) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X10) )
| ? [X14: a,X15: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15) ) ) ) ),
inference(definition_folding,[],[f8,f10,f9]) ).
thf(f10,plain,
! [X4: a > a > $o] :
( ? [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) != $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) = $true ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f8,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X16: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X1),X3) )
& ! [X17: a,X18: a,X19: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X19) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X18),X19) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X18) ) )
& ! [X20: a,X21: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X20),X21) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X20),X21) ) ) )
& ! [X4: a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) = $true )
| ? [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) != $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) = $true ) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X1),X2) )
| ? [X11: a,X12: a,X13: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X12),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) ) )
| ? [X14: a,X15: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15) ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X16: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X1),X3) )
& ! [X17: a,X18: a,X19: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X19) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X18),X19) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X18) ) )
& ! [X20: a,X21: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X20),X21) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X20),X21) ) ) )
& ! [X4: a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) = $true )
| ? [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) != $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) = $true ) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X1),X2) )
| ? [X11: a,X12: a,X13: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X12),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) ) )
| ? [X14: a,X15: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X14),X15) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) = $true ) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) = $true ) )
& ! [X8: a,X9: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) ) ) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) = $true ) )
& ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a,X13: a] :
( ( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X12),X13) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) ) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X13) ) )
& ! [X14: a,X15: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X14),X15) ) ) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X1),X2) ) ) )
=> ! [X16: a > a > $o] :
( ( ! [X17: a,X18: a,X19: a] :
( ( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X18),X19) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X18) ) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X19) ) )
& ! [X20: a,X21: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X20),X21) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X20),X21) ) ) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X1),X3) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X8: a,X9: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X8),X9) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) )
& ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a,X13: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X12),X13)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X12) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X11),X13) )
& ! [X14: a,X15: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X14),X15)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X14),X15) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,X1),X2) ) )
=> ! [X16: a > a > $o] :
( ( ! [X17: a,X18: a,X19: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X18),X19)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X18) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X17),X19) )
& ! [X20: a,X21: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X20),X21)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X20),X21) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X16,X1),X3) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X5: a,X6: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) )
& ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X5: a,X6: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X1),X2) ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X5: a,X6: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X1),X3) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X5: a,X6: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X2),X3) )
& ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X5: a,X6: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X1),X2) ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) )
& ! [X5: a,X6: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X1),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM136_pme) ).
thf(f68,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK11),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f67,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK11) ) ),
inference(superposition,[],[f38,f4]) ).
thf(f38,plain,
$true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK11),
inference(cnf_transformation,[],[f25]) ).
thf(f242,plain,
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f240,plain,
( spl17_5
<=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
thf(f1632,plain,
( spl17_33
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f1631,f1354,f1276]) ).
thf(f1276,plain,
( spl17_33
<=> ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
thf(f1354,plain,
( spl17_47
<=> ! [X0: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,sK12)),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
thf(f1631,plain,
( ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ~ spl17_47 ),
inference(subsumption_resolution,[],[f1625,f96]) ).
thf(f96,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(trivial_inequality_removal,[],[f95]) ).
thf(f95,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(superposition,[],[f28,f4]) ).
thf(f28,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: a > a > $o] :
( ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)) ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f13,f14]) ).
thf(f14,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(rectify,[],[f12]) ).
thf(f12,plain,
! [X4: a > a > $o] :
( ? [X5: a,X6: a,X7: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X7) != $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X6),X7) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X4,X5),X6) = $true ) )
| ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X4) ) ),
inference(nnf_transformation,[],[f10]) ).
thf(f1625,plain,
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,sK12)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,sK12)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ~ spl17_47 ),
inference(trivial_inequality_removal,[],[f1622]) ).
thf(f1622,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,sK12)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,sK12)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ~ spl17_47 ),
inference(superposition,[],[f1355,f89]) ).
thf(f89,plain,
! [X0: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f88,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(superposition,[],[f27,f4]) ).
thf(f27,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK4,X0)) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f1355,plain,
( ! [X0: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,sK12)),X0) ) )
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f1354]) ).
thf(f1580,plain,
( ~ spl17_14
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
thf(f1579,plain,
( $false
| ~ spl17_14
| ~ spl17_33 ),
inference(trivial_inequality_removal,[],[f1578]) ).
thf(f1578,plain,
( ( $true = $false )
| ~ spl17_14
| ~ spl17_33 ),
inference(forward_demodulation,[],[f337,f1278]) ).
thf(f1278,plain,
( ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f1276]) ).
thf(f337,plain,
( ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f335]) ).
thf(f335,plain,
( spl17_14
<=> ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
thf(f1575,plain,
( spl17_55
| spl17_69 ),
inference(avatar_split_clause,[],[f535,f1573,f1495]) ).
thf(f535,plain,
! [X0: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,sK12)),X0) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) ) ),
inference(trivial_inequality_removal,[],[f526]) ).
thf(f526,plain,
! [X0: a] :
( ( $true != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK6,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,sK12)),X0) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) ) ),
inference(superposition,[],[f37,f103]) ).
thf(f103,plain,
! [X0: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(trivial_inequality_removal,[],[f102]) ).
thf(f102,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) ) ),
inference(superposition,[],[f29,f4]) ).
thf(f29,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK5,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK6,X0)) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f1537,plain,
( spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f662,f244,f240]) ).
thf(f662,plain,
( ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) ) ),
inference(trivial_inequality_removal,[],[f661]) ).
thf(f661,plain,
( ( $true != $true )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) ) ),
inference(duplicate_literal_removal,[],[f650]) ).
thf(f650,plain,
( ( $true != $true )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK9),sK10) ) ),
inference(superposition,[],[f33,f195]) ).
thf(f195,plain,
! [X0: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X0)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,sK9),sK10) ) ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f194,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X0)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,sK9),sK10) ) ),
inference(superposition,[],[f36,f32]) ).
thf(f32,plain,
! [X13: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X13)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X13)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X13) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,sK9),sK10) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f36,plain,
! [X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,X8),X9) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,X8),X9) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f33,plain,
! [X13: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,vAPP(sTfun(a,sTfun(a,$o)),a,sK15,X13)),vAPP(sTfun(a,sTfun(a,$o)),a,sK16,X13)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP0,X13) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X13,sK9),sK10) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f1356,plain,
( spl17_33
| spl17_47 ),
inference(avatar_split_clause,[],[f428,f1354,f1276]) ).
thf(f428,plain,
! [X0: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,sK12)),X0) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) ) ),
inference(trivial_inequality_removal,[],[f419]) ).
thf(f419,plain,
! [X0: a] :
( ( $true != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK3,sK12)),X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,sK12)),X0) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) ) ),
inference(superposition,[],[f37,f84]) ).
thf(f84,plain,
! [X0: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f83,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)) )
| ( $false = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) ) ),
inference(superposition,[],[f26,f4]) ).
thf(f26,plain,
! [X0: a > a > $o] :
( ( $true != vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,vAPP(sTfun(a,sTfun(a,$o)),a,sK2,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK3,X0)) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f1318,plain,
( spl17_18
| spl17_14 ),
inference(avatar_split_clause,[],[f736,f335,f356]) ).
thf(f736,plain,
( ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK10),sK11) ) ),
inference(trivial_inequality_removal,[],[f735]) ).
thf(f735,plain,
( ( $true != $true )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK10),sK11) ) ),
inference(duplicate_literal_removal,[],[f724]) ).
thf(f724,plain,
( ( $true != $true )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK10),sK11) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,sK12) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,sK10),sK11) ) ),
inference(superposition,[],[f35,f266]) ).
thf(f266,plain,
! [X0: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X0)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,sK10),sK11) ) ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f265,plain,
! [X0: a > a > $o] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK12,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X0)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X0)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X0) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,sK10),sK11) ) ),
inference(superposition,[],[f36,f34]) ).
thf(f34,plain,
! [X10: a > a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK8,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X10)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X10)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X10) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,sK10),sK11) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X10: a > a > $o] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,vAPP(sTfun(a,sTfun(a,$o)),a,sK13,X10)),vAPP(sTfun(a,sTfun(a,$o)),a,sK14,X10)) )
| ( $true = vAPP(sTfun(a,sTfun(a,$o)),$o,sP1,X10) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X10,sK10),sK11) ) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV063^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.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 19:11:52 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (17961)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (17964)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)
% 0.14/0.37 % (17962)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (17968)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)
% 0.14/0.37 % (17965)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (17966)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (17967)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (17964)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (17965)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (17963)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (17971)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (17970)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:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39 % (17969)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (17971)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % (17970)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (17972)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.40 % (17973)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.44 % (17967)First to succeed.
% 0.20/0.45 % (17967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17961"
% 0.20/0.45 % (17967)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (17967)------------------------------
% 0.20/0.45 % (17967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45 % (17967)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (17967)Memory used [KB]: 1299
% 0.20/0.45 % (17967)Time elapsed: 0.078 s
% 0.20/0.45 % (17967)Instructions burned: 147 (million)
% 0.20/0.45 % (17961)Success in time 0.089 s
%------------------------------------------------------------------------------