TSTP Solution File: SEV028^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV028^5 : 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 : n017.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 09:43:39 EDT 2024
% Result : Theorem 1.30s 0.53s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 38
% Syntax : Number of formulae : 102 ( 12 unt; 25 typ; 0 def)
% Number of atoms : 1332 ( 292 equ; 0 cnn)
% Maximal formula atoms : 22 ( 17 avg)
% Number of connectives : 376 ( 97 ~; 118 |; 110 &; 0 @)
% ( 9 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 67 ( 66 >; 1 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 9 con; 0-6 aty)
% Number of variables : 257 ( 0 ^ 153 !; 98 ?; 257 :)
% ( 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_1,type,
cQ: a > a > $o ).
thf(func_def_5,type,
sP0: $o ).
thf(func_def_6,type,
sK1: a ).
thf(func_def_7,type,
sK2: a ).
thf(func_def_8,type,
sK3: a ).
thf(func_def_9,type,
sK4: a ).
thf(func_def_10,type,
sK5: a ).
thf(func_def_11,type,
sK6: a ).
thf(func_def_12,type,
sK7: a > a > $o ).
thf(func_def_13,type,
sK8: ( a > $o ) > a ).
thf(func_def_14,type,
sK9: ( a > $o ) > a ).
thf(func_def_15,type,
sK10: a > a ).
thf(func_def_16,type,
sK11: ( a > $o ) > a ).
thf(func_def_17,type,
sK12: ( a > $o ) > a ).
thf(func_def_18,type,
sK13: ( a > $o ) > a ).
thf(func_def_19,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_20,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_21,type,
vAND: $o > $o > $o ).
thf(func_def_22,type,
vOR: $o > $o > $o ).
thf(func_def_23,type,
vIMP: $o > $o > $o ).
thf(func_def_24,type,
vNOT: $o > $o ).
thf(func_def_25,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f3702,plain,
$false,
inference(trivial_inequality_removal,[],[f3689]) ).
thf(f3689,plain,
$true = $false,
inference(superposition,[],[f2907,f3680]) ).
thf(f3680,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK3),sK2),
inference(trivial_inequality_removal,[],[f3665]) ).
thf(f3665,plain,
( ( $true = $false )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK3),sK2) ) ),
inference(superposition,[],[f3652,f765]) ).
thf(f765,plain,
! [X0: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f742]) ).
thf(f742,plain,
! [X0: a,X1: a] :
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(superposition,[],[f41,f33]) ).
thf(f33,plain,
! [X3: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X3) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( ( ( $true = sP0 )
| ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) ) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK6),sK6) ) )
& ! [X3: a] :
( ! [X5: a > $o] :
( ( vAPP(a,sTfun(a,$o),sK7,X3) = X5 )
| ( vAPP(a,$o,X5,X3) != $true )
| ( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK8,X5)),vAPP(sTfun(a,$o),a,sK9,X5)) != vAPP(a,$o,X5,vAPP(sTfun(a,$o),a,sK9,X5)) )
& ( $true = vAPP(a,$o,X5,vAPP(sTfun(a,$o),a,sK8,X5)) ) )
| ! [X8: a] : ( $true != vAPP(a,$o,X5,X8) ) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X3) )
& ! [X9: a] :
( ! [X10: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X10) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X9) ) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),vAPP(a,a,sK10,X3)) ) )
& ! [X12: a > $o] :
( ( $true = vAPP(a,$o,X12,vAPP(sTfun(a,$o),a,sK11,X12)) )
| ( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK12,X12)),vAPP(sTfun(a,$o),a,sK13,X12)) != vAPP(a,$o,X12,vAPP(sTfun(a,$o),a,sK13,X12)) )
& ( $true = vAPP(a,$o,X12,vAPP(sTfun(a,$o),a,sK12,X12)) ) )
| ! [X16: a] : ( $true != vAPP(a,$o,X12,X16) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f15,f24,f23,f22,f21,f20,f19,f18,f17,f16]) ).
thf(f16,plain,
( ? [X0: a,X1: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X0) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
( ? [X2: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X2) != $true )
=> ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK6),sK6) ) ),
introduced(choice_axiom,[]) ).
thf(f18,plain,
! [X3: a] :
( ? [X4: a > $o] :
( ! [X5: a > $o] :
( ( X4 = X5 )
| ( vAPP(a,$o,X5,X3) != $true )
| ? [X6: a] :
( ? [X7: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) != vAPP(a,$o,X5,X7) )
& ( $true = vAPP(a,$o,X5,X6) ) )
| ! [X8: a] : ( $true != vAPP(a,$o,X5,X8) ) )
& ( $true = vAPP(a,$o,X4,X3) )
& ! [X9: a] :
( ! [X10: a] : ( vAPP(a,$o,X4,X10) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) )
| ( $true != vAPP(a,$o,X4,X9) ) )
& ? [X11: a] : ( $true = vAPP(a,$o,X4,X11) ) )
=> ( ! [X5: a > $o] :
( ( vAPP(a,sTfun(a,$o),sK7,X3) = X5 )
| ( vAPP(a,$o,X5,X3) != $true )
| ? [X6: a] :
( ? [X7: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) != vAPP(a,$o,X5,X7) )
& ( $true = vAPP(a,$o,X5,X6) ) )
| ! [X8: a] : ( $true != vAPP(a,$o,X5,X8) ) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X3) )
& ! [X9: a] :
( ! [X10: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X10) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X9) ) )
& ? [X11: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X11) ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
! [X5: a > $o] :
( ? [X6: a] :
( ? [X7: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) != vAPP(a,$o,X5,X7) )
& ( $true = vAPP(a,$o,X5,X6) ) )
=> ( ? [X7: a] : ( vAPP(a,$o,X5,X7) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK8,X5)),X7) )
& ( $true = vAPP(a,$o,X5,vAPP(sTfun(a,$o),a,sK8,X5)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f20,plain,
! [X5: a > $o] :
( ? [X7: a] : ( vAPP(a,$o,X5,X7) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK8,X5)),X7) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK8,X5)),vAPP(sTfun(a,$o),a,sK9,X5)) != vAPP(a,$o,X5,vAPP(sTfun(a,$o),a,sK9,X5)) ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
! [X3: a] :
( ? [X11: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X11) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),vAPP(a,a,sK10,X3)) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
! [X12: a > $o] :
( ? [X13: a] : ( $true = vAPP(a,$o,X12,X13) )
=> ( $true = vAPP(a,$o,X12,vAPP(sTfun(a,$o),a,sK11,X12)) ) ),
introduced(choice_axiom,[]) ).
thf(f23,plain,
! [X12: a > $o] :
( ? [X14: a] :
( ? [X15: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) != vAPP(a,$o,X12,X15) )
& ( $true = vAPP(a,$o,X12,X14) ) )
=> ( ? [X15: a] : ( vAPP(a,$o,X12,X15) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK12,X12)),X15) )
& ( $true = vAPP(a,$o,X12,vAPP(sTfun(a,$o),a,sK12,X12)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f24,plain,
! [X12: a > $o] :
( ? [X15: a] : ( vAPP(a,$o,X12,X15) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK12,X12)),X15) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,vAPP(sTfun(a,$o),a,sK12,X12)),vAPP(sTfun(a,$o),a,sK13,X12)) != vAPP(a,$o,X12,vAPP(sTfun(a,$o),a,sK13,X12)) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
( ( ( $true = sP0 )
| ? [X0: a,X1: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X0) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) )
| ? [X2: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X2) != $true ) )
& ! [X3: a] :
? [X4: a > $o] :
( ! [X5: a > $o] :
( ( X4 = X5 )
| ( vAPP(a,$o,X5,X3) != $true )
| ? [X6: a] :
( ? [X7: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) != vAPP(a,$o,X5,X7) )
& ( $true = vAPP(a,$o,X5,X6) ) )
| ! [X8: a] : ( $true != vAPP(a,$o,X5,X8) ) )
& ( $true = vAPP(a,$o,X4,X3) )
& ! [X9: a] :
( ! [X10: a] : ( vAPP(a,$o,X4,X10) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) )
| ( $true != vAPP(a,$o,X4,X9) ) )
& ? [X11: a] : ( $true = vAPP(a,$o,X4,X11) ) )
& ! [X12: a > $o] :
( ? [X13: a] : ( $true = vAPP(a,$o,X12,X13) )
| ? [X14: a] :
( ? [X15: a] : ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) != vAPP(a,$o,X12,X15) )
& ( $true = vAPP(a,$o,X12,X14) ) )
| ! [X16: a] : ( $true != vAPP(a,$o,X12,X16) ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
( ( ( $true = sP0 )
| ? [X17: a,X18: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X18),X17) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X17),X18) ) )
| ? [X19: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X19),X19) ) )
& ! [X0: a] :
? [X1: a > $o] :
( ! [X2: a > $o] :
( ( X1 = X2 )
| ( $true != vAPP(a,$o,X2,X0) )
| ? [X3: a] :
( ? [X4: a] : ( vAPP(a,$o,X2,X4) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X4) )
& ( $true = vAPP(a,$o,X2,X3) ) )
| ! [X5: a] : ( $true != vAPP(a,$o,X2,X5) ) )
& ( $true = vAPP(a,$o,X1,X0) )
& ! [X6: a] :
( ! [X7: a] : ( vAPP(a,$o,X1,X7) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) )
| ( $true != vAPP(a,$o,X1,X6) ) )
& ? [X8: a] : ( $true = vAPP(a,$o,X1,X8) ) )
& ! [X9: a > $o] :
( ? [X13: a] : ( $true = vAPP(a,$o,X9,X13) )
| ? [X10: a] :
( ? [X11: a] : ( vAPP(a,$o,X9,X11) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X10),X11) )
& ( $true = vAPP(a,$o,X9,X10) ) )
| ! [X12: a] : ( $true != vAPP(a,$o,X9,X12) ) ) ),
inference(definition_folding,[],[f8,f9]) ).
thf(f9,plain,
( ? [X14: a,X15: a,X16: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X15),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) ) )
| ( $true != sP0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f8,plain,
( ( ? [X14: a,X15: a,X16: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X15),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) ) )
| ? [X17: a,X18: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X18),X17) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X17),X18) ) )
| ? [X19: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X19),X19) ) )
& ! [X0: a] :
? [X1: a > $o] :
( ! [X2: a > $o] :
( ( X1 = X2 )
| ( $true != vAPP(a,$o,X2,X0) )
| ? [X3: a] :
( ? [X4: a] : ( vAPP(a,$o,X2,X4) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X4) )
& ( $true = vAPP(a,$o,X2,X3) ) )
| ! [X5: a] : ( $true != vAPP(a,$o,X2,X5) ) )
& ( $true = vAPP(a,$o,X1,X0) )
& ! [X6: a] :
( ! [X7: a] : ( vAPP(a,$o,X1,X7) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) )
| ( $true != vAPP(a,$o,X1,X6) ) )
& ? [X8: a] : ( $true = vAPP(a,$o,X1,X8) ) )
& ! [X9: a > $o] :
( ? [X13: a] : ( $true = vAPP(a,$o,X9,X13) )
| ? [X10: a] :
( ? [X11: a] : ( vAPP(a,$o,X9,X11) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X10),X11) )
& ( $true = vAPP(a,$o,X9,X10) ) )
| ! [X12: a] : ( $true != vAPP(a,$o,X9,X12) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ( ? [X14: a,X15: a,X16: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X15),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) ) )
| ? [X17: a,X18: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X18),X17) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X17),X18) ) )
| ? [X19: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X19),X19) ) )
& ! [X0: a] :
? [X1: a > $o] :
( ! [X2: a > $o] :
( ( X1 = X2 )
| ( $true != vAPP(a,$o,X2,X0) )
| ? [X3: a] :
( ? [X4: a] : ( vAPP(a,$o,X2,X4) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X4) )
& ( $true = vAPP(a,$o,X2,X3) ) )
| ! [X5: a] : ( $true != vAPP(a,$o,X2,X5) ) )
& ( $true = vAPP(a,$o,X1,X0) )
& ! [X6: a] :
( ! [X7: a] : ( vAPP(a,$o,X1,X7) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) )
| ( $true != vAPP(a,$o,X1,X6) ) )
& ? [X8: a] : ( $true = vAPP(a,$o,X1,X8) ) )
& ! [X9: a > $o] :
( ? [X13: a] : ( $true = vAPP(a,$o,X9,X13) )
| ? [X10: a] :
( ? [X11: a] : ( vAPP(a,$o,X9,X11) != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X10),X11) )
& ( $true = vAPP(a,$o,X9,X10) ) )
| ! [X12: a] : ( $true != vAPP(a,$o,X9,X12) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ! [X0: a] :
? [X1: a > $o] :
( ! [X2: a > $o] :
( ( ( $true = vAPP(a,$o,X2,X0) )
& ! [X3: a] :
( ( $true = vAPP(a,$o,X2,X3) )
=> ! [X4: a] : ( vAPP(a,$o,X2,X4) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X4) ) )
& ? [X5: a] : ( $true = vAPP(a,$o,X2,X5) ) )
=> ( X1 = X2 ) )
& ( $true = vAPP(a,$o,X1,X0) )
& ! [X6: a] :
( ( $true = vAPP(a,$o,X1,X6) )
=> ! [X7: a] : ( vAPP(a,$o,X1,X7) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) ) )
& ? [X8: a] : ( $true = vAPP(a,$o,X1,X8) ) )
& ! [X9: a > $o] :
( ( ! [X10: a] :
( ( $true = vAPP(a,$o,X9,X10) )
=> ! [X11: a] : ( vAPP(a,$o,X9,X11) = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X10),X11) ) )
& ? [X12: a] : ( $true = vAPP(a,$o,X9,X12) ) )
=> ? [X13: a] : ( $true = vAPP(a,$o,X9,X13) ) ) )
=> ( ! [X14: a,X15: a,X16: a] :
( ( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X15),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) ) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X16) ) )
& ! [X17: a,X18: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X17),X18) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X18),X17) ) )
& ! [X19: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X19),X19) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: a] :
? [X1: a > $o] :
( ! [X2: a > $o] :
( ( vAPP(a,$o,X2,X0)
& ! [X3: a] :
( vAPP(a,$o,X2,X3)
=> ! [X4: a] :
( vAPP(a,$o,X2,X4)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X4) ) )
& ? [X5: a] : vAPP(a,$o,X2,X5) )
=> ( X1 = X2 ) )
& vAPP(a,$o,X1,X0)
& ! [X6: a] :
( vAPP(a,$o,X1,X6)
=> ! [X7: a] :
( vAPP(a,$o,X1,X7)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X6),X7) ) )
& ? [X8: a] : vAPP(a,$o,X1,X8) )
& ! [X9: a > $o] :
( ( ! [X10: a] :
( vAPP(a,$o,X9,X10)
=> ! [X11: a] :
( vAPP(a,$o,X9,X11)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X10),X11) ) )
& ? [X12: a] : vAPP(a,$o,X9,X12) )
=> ? [X13: a] : vAPP(a,$o,X9,X13) ) )
=> ( ! [X14: a,X15: a,X16: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X15),X16)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X16) )
& ! [X17: a,X18: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X17),X18)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X18),X17) )
& ! [X19: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X19),X19) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: a] :
? [X0: a > $o] :
( ! [X5: a > $o] :
( ( vAPP(a,$o,X5,X2)
& ! [X4: a] :
( vAPP(a,$o,X5,X4)
=> ! [X3: a] :
( vAPP(a,$o,X5,X3)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X4),X3) ) )
& ? [X1: a] : vAPP(a,$o,X5,X1) )
=> ( X0 = X5 ) )
& vAPP(a,$o,X0,X2)
& ! [X4: a] :
( vAPP(a,$o,X0,X4)
=> ! [X3: a] :
( vAPP(a,$o,X0,X3)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X4),X3) ) )
& ? [X1: a] : vAPP(a,$o,X0,X1) )
& ! [X0: a > $o] :
( ( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> ! [X3: a] :
( vAPP(a,$o,X0,X3)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X3) ) )
& ? [X1: a] : vAPP(a,$o,X0,X1) )
=> ? [X1: a] : vAPP(a,$o,X0,X1) ) )
=> ( ! [X2: a,X3: a,X1: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X1)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X3) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X1) )
& ! [X2: a,X3: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X3)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X2) )
& ! [X2: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X2) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X2: a] :
? [X0: a > $o] :
( ! [X5: a > $o] :
( ( vAPP(a,$o,X5,X2)
& ! [X4: a] :
( vAPP(a,$o,X5,X4)
=> ! [X3: a] :
( vAPP(a,$o,X5,X3)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X4),X3) ) )
& ? [X1: a] : vAPP(a,$o,X5,X1) )
=> ( X0 = X5 ) )
& vAPP(a,$o,X0,X2)
& ! [X4: a] :
( vAPP(a,$o,X0,X4)
=> ! [X3: a] :
( vAPP(a,$o,X0,X3)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X4),X3) ) )
& ? [X1: a] : vAPP(a,$o,X0,X1) )
& ! [X0: a > $o] :
( ( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> ! [X3: a] :
( vAPP(a,$o,X0,X3)
<=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X3) ) )
& ? [X1: a] : vAPP(a,$o,X0,X1) )
=> ? [X1: a] : vAPP(a,$o,X0,X1) ) )
=> ( ! [X2: a,X3: a,X1: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X1)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X3) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X1) )
& ! [X2: a,X3: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X3)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X3),X2) )
& ! [X2: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X2),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM558_pme) ).
thf(f41,plain,
! [X3: a,X10: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X9) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X10) ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
! [X3: a,X10: a,X9: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X10) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X9) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f3652,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),sK2),
inference(trivial_inequality_removal,[],[f3542]) ).
thf(f3542,plain,
( ( $true = $false )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),sK2) ) ),
inference(superposition,[],[f3309,f2908]) ).
thf(f2908,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK2),sK1),
inference(trivial_inequality_removal,[],[f2794]) ).
thf(f2794,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK2),sK1) ) ),
inference(superposition,[],[f1903,f2079]) ).
thf(f2079,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK2),
inference(unit_resulting_resolution,[],[f2074,f26]) ).
thf(f26,plain,
( ( $true != sP0 )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK2) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK2),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK2) ) )
| ( $true != sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13]) ).
thf(f13,plain,
( ? [X0: a,X1: a,X2: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X2) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X2) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK2),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK2) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X0: a,X1: a,X2: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X2) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X2) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) )
| ( $true != sP0 ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
( ? [X14: a,X15: a,X16: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X15),X16) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X14),X15) ) )
| ( $true != sP0 ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f2074,plain,
$true = sP0,
inference(trivial_inequality_removal,[],[f2073]) ).
thf(f2073,plain,
( ( $true = $false )
| ( $true = sP0 ) ),
inference(duplicate_literal_removal,[],[f2055]) ).
thf(f2055,plain,
( ( $true = $false )
| ( $true = sP0 )
| ( $true = sP0 ) ),
inference(superposition,[],[f1945,f660]) ).
thf(f660,plain,
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) )
| ( $true = sP0 ) ),
inference(trivial_inequality_removal,[],[f659]) ).
thf(f659,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) )
| ( $true = sP0 ) ),
inference(superposition,[],[f36,f649]) ).
thf(f649,plain,
! [X0: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X0) ),
inference(trivial_inequality_removal,[],[f609]) ).
thf(f609,plain,
! [X0: a] :
( ( $true = $false )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X0) ) ),
inference(superposition,[],[f606,f33]) ).
thf(f606,plain,
! [X0: a,X1: a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f584]) ).
thf(f584,plain,
! [X0: a,X1: a] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(superposition,[],[f40,f33]) ).
thf(f40,plain,
! [X3: a,X10: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X9) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X9),X10) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X3),X10) ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f36,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK6),sK6) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) )
| ( $true = sP0 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f1945,plain,
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) )
| ( $true = sP0 ) ),
inference(trivial_inequality_removal,[],[f1935]) ).
thf(f1935,plain,
( ( $true = $false )
| ( $true = sP0 )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK4),sK5) ) ),
inference(superposition,[],[f1915,f765]) ).
thf(f1915,plain,
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK4),sK5) )
| ( $true = sP0 ) ),
inference(trivial_inequality_removal,[],[f1801]) ).
thf(f1801,plain,
( ( $true = $false )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK4),sK5) )
| ( $true = sP0 ) ),
inference(superposition,[],[f1788,f661]) ).
thf(f661,plain,
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) )
| ( $true = sP0 ) ),
inference(trivial_inequality_removal,[],[f658]) ).
thf(f658,plain,
( ( $true != $true )
| ( $true = sP0 )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) ) ),
inference(superposition,[],[f88,f649]) ).
thf(f88,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK6),sK6) )
| ( $true = sP0 )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
( ( $true != $true )
| ( $true = sP0 )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK6),sK6) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) ) ),
inference(superposition,[],[f37,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f37,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK5),sK4) )
| ( $true = sP0 )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK6),sK6) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f1788,plain,
! [X0: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f1599]) ).
thf(f1599,plain,
! [X0: a,X1: a] :
( ( $true = $false )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(superposition,[],[f597,f33]) ).
thf(f597,plain,
! [X2: a,X0: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f596]) ).
thf(f596,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(superposition,[],[f40,f4]) ).
thf(f1903,plain,
! [X0: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f1815]) ).
thf(f1815,plain,
! [X0: a,X1: a] :
( ( $true = $false )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X0) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),X1) ) ),
inference(superposition,[],[f1788,f765]) ).
thf(f3309,plain,
! [X0: a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),sK1) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),X0) ) ),
inference(trivial_inequality_removal,[],[f3091]) ).
thf(f3091,plain,
! [X0: a] :
( ( $true = $false )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X0),sK1) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),X0) ) ),
inference(superposition,[],[f756,f2075]) ).
thf(f2075,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),sK1),
inference(unit_resulting_resolution,[],[f2074,f1882]) ).
thf(f1882,plain,
( ( $true != sP0 )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),sK1) ) ),
inference(trivial_inequality_removal,[],[f1836]) ).
thf(f1836,plain,
( ( $true != $true )
| ( $true != sP0 )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,sK3),sK1) ) ),
inference(superposition,[],[f28,f1788]) ).
thf(f28,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK1),sK3) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f756,plain,
! [X2: a,X0: a,X1: a] :
( ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X2) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(trivial_inequality_removal,[],[f755]) ).
thf(f755,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,X1),X2) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X2) )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK7,X0),X1) ) ),
inference(superposition,[],[f41,f4]) ).
thf(f2907,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK3),sK2),
inference(trivial_inequality_removal,[],[f2795]) ).
thf(f2795,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK3),sK2) ) ),
inference(superposition,[],[f1903,f2078]) ).
thf(f2078,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK2),sK3),
inference(unit_resulting_resolution,[],[f2074,f27]) ).
thf(f27,plain,
( ( $true != sP0 )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cQ,sK2),sK3) ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV028^5 : TPTP v8.1.2. 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 : n017.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 : Fri May 3 11:27:21 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (4545)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (4548)WARNING: value z3 for option sas not known
% 0.14/0.36 % (4548)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (4546)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (4547)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (4550)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (4549)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (4551)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (4552)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 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 % 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 % (4552)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
% 0.21/0.39 % (4554)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.39 % (4553)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.39 % (4555)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.39 % (4554)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.39 % (4553)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.39 % Exception at run slice level
% 0.21/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.41 % (4556)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.21/0.52 % (4554)First to succeed.
% 0.21/0.53 % (4554)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4545"
% 1.30/0.53 % (4554)Refutation found. Thanks to Tanya!
% 1.30/0.53 % SZS status Theorem for theBenchmark
% 1.30/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53 % (4554)------------------------------
% 1.30/0.53 % (4554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.30/0.53 % (4554)Termination reason: Refutation
% 1.30/0.53
% 1.30/0.53 % (4554)Memory used [KB]: 1398
% 1.30/0.53 % (4554)Time elapsed: 0.138 s
% 1.30/0.53 % (4554)Instructions burned: 343 (million)
% 1.30/0.53 % (4545)Success in time 0.143 s
%------------------------------------------------------------------------------