TSTP Solution File: SEV137^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV137^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 09:43:56 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 84 ( 6 unt; 19 typ; 0 def)
% Number of atoms : 1002 ( 247 equ; 0 cnn)
% Maximal formula atoms : 30 ( 15 avg)
% Number of connectives : 386 ( 129 ~; 134 |; 76 &; 0 @)
% ( 3 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 91 ( 90 >; 1 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 8 con; 0-6 aty)
% Number of variables : 151 ( 0 ^ 99 !; 46 ?; 151 :)
% ( 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 > a > $o ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
sK3: a ).
thf(func_def_8,type,
sK4: a > $o ).
thf(func_def_9,type,
sK5: ( a > $o ) > a ).
thf(func_def_10,type,
sK6: ( a > $o ) > a ).
thf(func_def_11,type,
sK7: ( a > $o ) > a ).
thf(func_def_12,type,
sK8: ( a > $o ) > a ).
thf(func_def_14,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_15,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_16,type,
vAND: $o > $o > $o ).
thf(func_def_17,type,
vOR: $o > $o > $o ).
thf(func_def_18,type,
vIMP: $o > $o > $o ).
thf(func_def_19,type,
vNOT: $o > $o ).
thf(func_def_20,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f451,plain,
$false,
inference(avatar_sat_refutation,[],[f335,f382,f387,f450]) ).
thf(f450,plain,
~ spl9_7,
inference(avatar_contradiction_clause,[],[f449]) ).
thf(f449,plain,
( $false
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f448]) ).
thf(f448,plain,
( ( $true = $false )
| ~ spl9_7 ),
inference(forward_demodulation,[],[f447,f35]) ).
thf(f35,plain,
$false = vAPP(a,$o,sK4,sK3),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f33,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK4,sK3) ) ),
inference(superposition,[],[f23,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f23,plain,
$true != vAPP(a,$o,sK4,sK3),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( $true != vAPP(a,$o,sK4,sK3) )
& ( $true = vAPP(a,$o,sK4,sK1) )
& ! [X5: a,X6: a] :
( ( $true = vAPP(a,$o,sK4,X6) )
| ( $true != vAPP(a,$o,sK4,X5) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) ) )
& ! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,sK3) )
| ( $true != vAPP(a,$o,X7,sK2) )
| ( ( $true != vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,sK6,X7)) )
& ( $true = vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,sK5,X7)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,vAPP(sTfun(a,$o),a,sK5,X7)),vAPP(sTfun(a,$o),a,sK6,X7)) ) ) )
& ! [X10: a > $o] :
( ( $true = vAPP(a,$o,X10,sK2) )
| ( $true != vAPP(a,$o,X10,sK1) )
| ( ( $true != vAPP(a,$o,X10,vAPP(sTfun(a,$o),a,sK8,X10)) )
& ( $true = vAPP(a,$o,X10,vAPP(sTfun(a,$o),a,sK7,X10)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,vAPP(sTfun(a,$o),a,sK7,X10)),vAPP(sTfun(a,$o),a,sK8,X10)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f9,f13,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a > $o] :
( ( vAPP(a,$o,X4,X3) != $true )
& ( vAPP(a,$o,X4,X1) = $true )
& ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X6) = $true )
| ( vAPP(a,$o,X4,X5) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) != $true ) ) )
& ! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,X3) )
| ( $true != vAPP(a,$o,X7,X2) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,X7,X9) )
& ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > $o] :
( ( $true = vAPP(a,$o,X10,X2) )
| ( $true != vAPP(a,$o,X10,X1) )
| ? [X11: a,X12: a] :
( ( $true != vAPP(a,$o,X10,X12) )
& ( $true = vAPP(a,$o,X10,X11) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) ) ) )
=> ( ? [X4: a > $o] :
( ( $true != vAPP(a,$o,X4,sK3) )
& ( $true = vAPP(a,$o,X4,sK1) )
& ! [X6: a,X5: a] :
( ( vAPP(a,$o,X4,X6) = $true )
| ( vAPP(a,$o,X4,X5) != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) ) ) )
& ! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,sK3) )
| ( $true != vAPP(a,$o,X7,sK2) )
| ? [X9: a,X8: a] :
( ( $true != vAPP(a,$o,X7,X9) )
& ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X8),X9) ) ) )
& ! [X10: a > $o] :
( ( $true = vAPP(a,$o,X10,sK2) )
| ( $true != vAPP(a,$o,X10,sK1) )
| ? [X12: a,X11: a] :
( ( $true != vAPP(a,$o,X10,X12) )
& ( $true = vAPP(a,$o,X10,X11) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X11),X12) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X4: a > $o] :
( ( $true != vAPP(a,$o,X4,sK3) )
& ( $true = vAPP(a,$o,X4,sK1) )
& ! [X6: a,X5: a] :
( ( vAPP(a,$o,X4,X6) = $true )
| ( vAPP(a,$o,X4,X5) != $true )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) ) ) )
=> ( ( $true != vAPP(a,$o,sK4,sK3) )
& ( $true = vAPP(a,$o,sK4,sK1) )
& ! [X6: a,X5: a] :
( ( $true = vAPP(a,$o,sK4,X6) )
| ( $true != vAPP(a,$o,sK4,X5) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X7: a > $o] :
( ? [X9: a,X8: a] :
( ( $true != vAPP(a,$o,X7,X9) )
& ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X8),X9) ) )
=> ( ( $true != vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,sK6,X7)) )
& ( $true = vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,sK5,X7)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,vAPP(sTfun(a,$o),a,sK5,X7)),vAPP(sTfun(a,$o),a,sK6,X7)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X10: a > $o] :
( ? [X12: a,X11: a] :
( ( $true != vAPP(a,$o,X10,X12) )
& ( $true = vAPP(a,$o,X10,X11) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X11),X12) ) )
=> ( ( $true != vAPP(a,$o,X10,vAPP(sTfun(a,$o),a,sK8,X10)) )
& ( $true = vAPP(a,$o,X10,vAPP(sTfun(a,$o),a,sK7,X10)) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,vAPP(sTfun(a,$o),a,sK7,X10)),vAPP(sTfun(a,$o),a,sK8,X10)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X4: a > $o] :
( ( vAPP(a,$o,X4,X3) != $true )
& ( vAPP(a,$o,X4,X1) = $true )
& ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X6) = $true )
| ( vAPP(a,$o,X4,X5) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) != $true ) ) )
& ! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,X3) )
| ( $true != vAPP(a,$o,X7,X2) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,X7,X9) )
& ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) )
& ! [X10: a > $o] :
( ( $true = vAPP(a,$o,X10,X2) )
| ( $true != vAPP(a,$o,X10,X1) )
| ? [X11: a,X12: a] :
( ( $true != vAPP(a,$o,X10,X12) )
& ( $true = vAPP(a,$o,X10,X11) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X10: a > $o] :
( ( $true != vAPP(a,$o,X10,X3) )
& ( $true = vAPP(a,$o,X10,X1) )
& ! [X11: a,X12: a] :
( ( $true = vAPP(a,$o,X10,X12) )
| ( $true != vAPP(a,$o,X10,X11) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) ) )
& ! [X4: a > $o] :
( ( vAPP(a,$o,X4,X3) = $true )
| ( vAPP(a,$o,X4,X2) != $true )
| ? [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X6) != $true )
& ( vAPP(a,$o,X4,X5) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) = $true ) ) )
& ! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,X2) )
| ( $true != vAPP(a,$o,X7,X1) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,X7,X9) )
& ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ? [X10: a > $o] :
( ( $true != vAPP(a,$o,X10,X3) )
& ( $true = vAPP(a,$o,X10,X1) )
& ! [X11: a,X12: a] :
( ( $true = vAPP(a,$o,X10,X12) )
| ( $true != vAPP(a,$o,X10,X11) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) ) )
& ! [X4: a > $o] :
( ( vAPP(a,$o,X4,X3) = $true )
| ( vAPP(a,$o,X4,X2) != $true )
| ? [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X6) != $true )
& ( vAPP(a,$o,X4,X5) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) = $true ) ) )
& ! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,X2) )
| ( $true != vAPP(a,$o,X7,X1) )
| ? [X8: a,X9: a] :
( ( $true != vAPP(a,$o,X7,X9) )
& ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( vAPP(a,$o,X4,X5) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) = $true ) )
=> ( vAPP(a,$o,X4,X6) = $true ) )
=> ( ( vAPP(a,$o,X4,X2) = $true )
=> ( vAPP(a,$o,X4,X3) = $true ) ) )
& ! [X7: a > $o] :
( ! [X8: a,X9: a] :
( ( ( $true = vAPP(a,$o,X7,X8) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) ) )
=> ( $true = vAPP(a,$o,X7,X9) ) )
=> ( ( $true = vAPP(a,$o,X7,X1) )
=> ( $true = vAPP(a,$o,X7,X2) ) ) ) )
=> ! [X10: a > $o] :
( ! [X11: a,X12: a] :
( ( ( $true = vAPP(a,$o,X10,X11) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) ) )
=> ( $true = vAPP(a,$o,X10,X12) ) )
=> ( ( $true = vAPP(a,$o,X10,X1) )
=> ( $true = vAPP(a,$o,X10,X3) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X2)
=> vAPP(a,$o,X4,X3) ) )
& ! [X7: a > $o] :
( ! [X8: a,X9: a] :
( ( vAPP(a,$o,X7,X8)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) )
=> vAPP(a,$o,X7,X9) )
=> ( vAPP(a,$o,X7,X1)
=> vAPP(a,$o,X7,X2) ) ) )
=> ! [X10: a > $o] :
( ! [X11: a,X12: a] :
( ( vAPP(a,$o,X10,X11)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X11),X12) )
=> vAPP(a,$o,X10,X12) )
=> ( vAPP(a,$o,X10,X1)
=> vAPP(a,$o,X10,X3) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X2)
=> vAPP(a,$o,X4,X3) ) )
& ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X1)
=> vAPP(a,$o,X4,X2) ) ) )
=> ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X1)
=> vAPP(a,$o,X4,X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X2)
=> vAPP(a,$o,X4,X3) ) )
& ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X1)
=> vAPP(a,$o,X4,X2) ) ) )
=> ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( vAPP(a,$o,X4,X5)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
=> vAPP(a,$o,X4,X6) )
=> ( vAPP(a,$o,X4,X1)
=> vAPP(a,$o,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM204_pme) ).
thf(f447,plain,
( ( $true = vAPP(a,$o,sK4,sK3) )
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f446]) ).
thf(f446,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ~ spl9_7 ),
inference(forward_demodulation,[],[f443,f330]) ).
thf(f330,plain,
( ( $true = vAPP(a,$o,sK4,sK2) )
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f328]) ).
thf(f328,plain,
( spl9_7
<=> ( $true = vAPP(a,$o,sK4,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
thf(f443,plain,
( ( $true != vAPP(a,$o,sK4,sK2) )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f440]) ).
thf(f440,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK4,sK2) )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ~ spl9_7 ),
inference(superposition,[],[f429,f19]) ).
thf(f19,plain,
! [X7: a > $o] :
( ( $true = vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,sK5,X7)) )
| ( $true != vAPP(a,$o,X7,sK2) )
| ( $true = vAPP(a,$o,X7,sK3) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f429,plain,
( ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f428]) ).
thf(f428,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ~ spl9_7 ),
inference(forward_demodulation,[],[f427,f35]) ).
thf(f427,plain,
( ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f426]) ).
thf(f426,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ~ spl9_7 ),
inference(forward_demodulation,[],[f422,f330]) ).
thf(f422,plain,
( ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ( $true != vAPP(a,$o,sK4,sK2) )
| ( $true = vAPP(a,$o,sK4,sK3) ) ),
inference(trivial_inequality_removal,[],[f421]) ).
thf(f421,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ( $true != vAPP(a,$o,sK4,sK2) )
| ( $true = vAPP(a,$o,sK4,sK3) ) ),
inference(duplicate_literal_removal,[],[f414]) ).
thf(f414,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,sK4)) )
| ( $true != vAPP(a,$o,sK4,sK2) )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ( $true = vAPP(a,$o,sK4,sK3) )
| ( $true != vAPP(a,$o,sK4,sK2) ) ),
inference(superposition,[],[f124,f99]) ).
thf(f99,plain,
! [X0: a > $o] :
( ( $false = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK6,X0)) )
| ( $true = vAPP(a,$o,X0,sK3) )
| ( $true != vAPP(a,$o,X0,sK2) ) ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f98,plain,
! [X0: a > $o] :
( ( $true != $true )
| ( $true != vAPP(a,$o,X0,sK2) )
| ( $true = vAPP(a,$o,X0,sK3) )
| ( $false = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK6,X0)) ) ),
inference(superposition,[],[f20,f4]) ).
thf(f20,plain,
! [X7: a > $o] :
( ( $true != vAPP(a,$o,X7,vAPP(sTfun(a,$o),a,sK6,X7)) )
| ( $true != vAPP(a,$o,X7,sK2) )
| ( $true = vAPP(a,$o,X7,sK3) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f124,plain,
! [X0: a > $o] :
( ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK6,X0)) )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,X0)) )
| ( $true != vAPP(a,$o,X0,sK2) )
| ( $true = vAPP(a,$o,X0,sK3) ) ),
inference(trivial_inequality_removal,[],[f123]) ).
thf(f123,plain,
! [X0: a > $o] :
( ( $true != $true )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK5,X0)) )
| ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK6,X0)) )
| ( $true != vAPP(a,$o,X0,sK2) )
| ( $true = vAPP(a,$o,X0,sK3) ) ),
inference(superposition,[],[f21,f18]) ).
thf(f18,plain,
! [X7: a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,vAPP(sTfun(a,$o),a,sK5,X7)),vAPP(sTfun(a,$o),a,sK6,X7)) )
| ( $true != vAPP(a,$o,X7,sK2) )
| ( $true = vAPP(a,$o,X7,sK3) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f21,plain,
! [X6: a,X5: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) )
| ( $true != vAPP(a,$o,sK4,X5) )
| ( $true = vAPP(a,$o,sK4,X6) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f387,plain,
spl9_9,
inference(avatar_contradiction_clause,[],[f386]) ).
thf(f386,plain,
( $false
| spl9_9 ),
inference(trivial_inequality_removal,[],[f383]) ).
thf(f383,plain,
( ( $true != $true )
| spl9_9 ),
inference(superposition,[],[f381,f22]) ).
thf(f22,plain,
$true = vAPP(a,$o,sK4,sK1),
inference(cnf_transformation,[],[f14]) ).
thf(f381,plain,
( ( $true != vAPP(a,$o,sK4,sK1) )
| spl9_9 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f379,plain,
( spl9_9
<=> ( $true = vAPP(a,$o,sK4,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
thf(f382,plain,
( spl9_7
| ~ spl9_9
| spl9_8 ),
inference(avatar_split_clause,[],[f354,f332,f379,f328]) ).
thf(f332,plain,
( spl9_8
<=> ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
thf(f354,plain,
( ( $true != vAPP(a,$o,sK4,sK1) )
| ( $true = vAPP(a,$o,sK4,sK2) )
| spl9_8 ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f351,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK4,sK1) )
| ( $true = vAPP(a,$o,sK4,sK2) )
| spl9_8 ),
inference(superposition,[],[f334,f16]) ).
thf(f16,plain,
! [X10: a > $o] :
( ( $true = vAPP(a,$o,X10,vAPP(sTfun(a,$o),a,sK7,X10)) )
| ( $true != vAPP(a,$o,X10,sK1) )
| ( $true = vAPP(a,$o,X10,sK2) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f334,plain,
( ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) )
| spl9_8 ),
inference(avatar_component_clause,[],[f332]) ).
thf(f335,plain,
( spl9_7
| ~ spl9_8 ),
inference(avatar_split_clause,[],[f272,f332,f328]) ).
thf(f272,plain,
( ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) )
| ( $true = vAPP(a,$o,sK4,sK2) ) ),
inference(trivial_inequality_removal,[],[f271]) ).
thf(f271,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) )
| ( $true = vAPP(a,$o,sK4,sK2) ) ),
inference(forward_demodulation,[],[f270,f22]) ).
thf(f270,plain,
( ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) )
| ( $true != vAPP(a,$o,sK4,sK1) )
| ( $true = vAPP(a,$o,sK4,sK2) ) ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f269,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) )
| ( $true != vAPP(a,$o,sK4,sK1) )
| ( $true = vAPP(a,$o,sK4,sK2) ) ),
inference(duplicate_literal_removal,[],[f262]) ).
thf(f262,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,sK4)) )
| ( $true != vAPP(a,$o,sK4,sK1) )
| ( $true = vAPP(a,$o,sK4,sK2) )
| ( $true = vAPP(a,$o,sK4,sK2) )
| ( $true != vAPP(a,$o,sK4,sK1) ) ),
inference(superposition,[],[f219,f70]) ).
thf(f70,plain,
! [X0: a > $o] :
( ( $false = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK8,X0)) )
| ( $true = vAPP(a,$o,X0,sK2) )
| ( $true != vAPP(a,$o,X0,sK1) ) ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f69,plain,
! [X0: a > $o] :
( ( $true != $true )
| ( $true != vAPP(a,$o,X0,sK1) )
| ( $true = vAPP(a,$o,X0,sK2) )
| ( $false = vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,sK8,X0)) ) ),
inference(superposition,[],[f17,f4]) ).
thf(f17,plain,
! [X10: a > $o] :
( ( $true != vAPP(a,$o,X10,vAPP(sTfun(a,$o),a,sK8,X10)) )
| ( $true != vAPP(a,$o,X10,sK1) )
| ( $true = vAPP(a,$o,X10,sK2) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f219,plain,
! [X0: a > $o] :
( ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK8,X0)) )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,X0)) )
| ( $true != vAPP(a,$o,X0,sK1) )
| ( $true = vAPP(a,$o,X0,sK2) ) ),
inference(trivial_inequality_removal,[],[f218]) ).
thf(f218,plain,
! [X0: a > $o] :
( ( $true != $true )
| ( $true != vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK7,X0)) )
| ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,sK8,X0)) )
| ( $true != vAPP(a,$o,X0,sK1) )
| ( $true = vAPP(a,$o,X0,sK2) ) ),
inference(superposition,[],[f21,f15]) ).
thf(f15,plain,
! [X10: a > $o] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,vAPP(sTfun(a,$o),a,sK7,X10)),vAPP(sTfun(a,$o),a,sK8,X10)) )
| ( $true != vAPP(a,$o,X10,sK1) )
| ( $true = vAPP(a,$o,X10,sK2) ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV137^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 12:09:13 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (27047)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (27054)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)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (27048)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (27049)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (27052)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (27053)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (27050)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)
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % (27050)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (27051)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (27051)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level% (27055)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)
% 0.15/0.39
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.40 % (27057)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)
% 0.15/0.40 % (27050)First to succeed.
% 0.15/0.40 % (27057)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.40 % Exception at run slice level
% 0.15/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.40 % (27050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27047"
% 0.15/0.40 % (27050)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (27050)------------------------------
% 0.15/0.40 % (27050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (27050)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (27050)Memory used [KB]: 923
% 0.15/0.40 % (27050)Time elapsed: 0.041 s
% 0.15/0.40 % (27050)Instructions burned: 33 (million)
% 0.15/0.40 % (27047)Success in time 0.045 s
%------------------------------------------------------------------------------