TSTP Solution File: SEV185^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV185^5 : 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 : n023.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 09:44:01 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of formulae : 57 ( 8 unt; 16 typ; 0 def)
% Number of atoms : 692 ( 168 equ; 0 cnn)
% Maximal formula atoms : 22 ( 16 avg)
% Number of connectives : 248 ( 87 ~; 77 |; 48 &; 0 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 138 ( 137 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 3 con; 0-6 aty)
% Number of variables : 141 ( 0 ^ 101 !; 34 ?; 141 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_4,type,
sK0: ( b > $o ) > b > $o ).
thf(func_def_5,type,
sK1: ( b > $o ) > $o ).
thf(func_def_6,type,
sK2: b > $o ).
thf(func_def_7,type,
sK3: b ).
thf(func_def_8,type,
sK4: b > $o ).
thf(func_def_9,type,
sK5: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
vOR: $o > $o > $o ).
thf(func_def_15,type,
vIMP: $o > $o > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f279,plain,
$false,
inference(trivial_inequality_removal,[],[f274]) ).
thf(f274,plain,
$true != $true,
inference(superposition,[],[f259,f19]) ).
thf(f19,plain,
$true = vAPP(sTfun(b,$o),$o,sK1,sK4),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( $true != vAPP(b,$o,sK4,sK3) )
& ( $true = vAPP(sTfun(b,$o),$o,sK1,sK4) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,sK2),sK3) )
& ! [X5: b] :
( ! [X6: b > $o] :
( ( $true = vAPP(b,$o,X6,X5) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X6) ) )
| ( $true != vAPP(b,$o,sK2,X5) ) )
& ! [X7: b > $o] :
( ! [X8: b > $o,X9: b] :
( ( $true = vAPP(b,$o,X7,X9) )
| ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X8),X9) )
| ( ( $true != vAPP(b,$o,X7,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X8),X7)) )
& ( $true = vAPP(b,$o,X8,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X8),X7)) ) ) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f13,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ? [X2: b > $o,X3: b] :
( ? [X4: b > $o] :
( ( $true != vAPP(b,$o,X4,X3) )
& ( $true = vAPP(sTfun(b,$o),$o,X1,X4) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X2),X3) )
& ! [X5: b] :
( ! [X6: b > $o] :
( ( $true = vAPP(b,$o,X6,X5) )
| ( vAPP(sTfun(b,$o),$o,X1,X6) != $true ) )
| ( vAPP(b,$o,X2,X5) != $true ) ) )
& ! [X7: b > $o] :
( ! [X8: b > $o,X9: b] :
( ( $true = vAPP(b,$o,X7,X9) )
| ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X8),X9) )
| ? [X10: b] :
( ( $true != vAPP(b,$o,X7,X10) )
& ( $true = vAPP(b,$o,X8,X10) ) ) )
| ( $true != vAPP(sTfun(b,$o),$o,X1,X7) ) ) )
=> ( ? [X3: b,X2: b > $o] :
( ? [X4: b > $o] :
( ( $true != vAPP(b,$o,X4,X3) )
& ( $true = vAPP(sTfun(b,$o),$o,sK1,X4) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X2),X3) )
& ! [X5: b] :
( ! [X6: b > $o] :
( ( $true = vAPP(b,$o,X6,X5) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X6) ) )
| ( vAPP(b,$o,X2,X5) != $true ) ) )
& ! [X7: b > $o] :
( ! [X9: b,X8: b > $o] :
( ( $true = vAPP(b,$o,X7,X9) )
| ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X8),X9) )
| ? [X10: b] :
( ( $true != vAPP(b,$o,X7,X10) )
& ( $true = vAPP(b,$o,X8,X10) ) ) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X7) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X3: b,X2: b > $o] :
( ? [X4: b > $o] :
( ( $true != vAPP(b,$o,X4,X3) )
& ( $true = vAPP(sTfun(b,$o),$o,sK1,X4) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X2),X3) )
& ! [X5: b] :
( ! [X6: b > $o] :
( ( $true = vAPP(b,$o,X6,X5) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X6) ) )
| ( vAPP(b,$o,X2,X5) != $true ) ) )
=> ( ? [X4: b > $o] :
( ( $true != vAPP(b,$o,X4,sK3) )
& ( $true = vAPP(sTfun(b,$o),$o,sK1,X4) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,sK2),sK3) )
& ! [X5: b] :
( ! [X6: b > $o] :
( ( $true = vAPP(b,$o,X6,X5) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X6) ) )
| ( $true != vAPP(b,$o,sK2,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X4: b > $o] :
( ( $true != vAPP(b,$o,X4,sK3) )
& ( $true = vAPP(sTfun(b,$o),$o,sK1,X4) ) )
=> ( ( $true != vAPP(b,$o,sK4,sK3) )
& ( $true = vAPP(sTfun(b,$o),$o,sK1,sK4) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X7: b > $o,X8: b > $o] :
( ? [X10: b] :
( ( $true != vAPP(b,$o,X7,X10) )
& ( $true = vAPP(b,$o,X8,X10) ) )
=> ( ( $true != vAPP(b,$o,X7,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X8),X7)) )
& ( $true = vAPP(b,$o,X8,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X8),X7)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ? [X2: b > $o,X3: b] :
( ? [X4: b > $o] :
( ( $true != vAPP(b,$o,X4,X3) )
& ( $true = vAPP(sTfun(b,$o),$o,X1,X4) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X2),X3) )
& ! [X5: b] :
( ! [X6: b > $o] :
( ( $true = vAPP(b,$o,X6,X5) )
| ( vAPP(sTfun(b,$o),$o,X1,X6) != $true ) )
| ( vAPP(b,$o,X2,X5) != $true ) ) )
& ! [X7: b > $o] :
( ! [X8: b > $o,X9: b] :
( ( $true = vAPP(b,$o,X7,X9) )
| ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X8),X9) )
| ? [X10: b] :
( ( $true != vAPP(b,$o,X7,X10) )
& ( $true = vAPP(b,$o,X8,X10) ) ) )
| ( $true != vAPP(sTfun(b,$o),$o,X1,X7) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ? [X6: b > $o,X7: b] :
( ? [X10: b > $o] :
( ( $true != vAPP(b,$o,X10,X7) )
& ( $true = vAPP(sTfun(b,$o),$o,X1,X10) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X6),X7) )
& ! [X8: b] :
( ! [X9: b > $o] :
( ( $true = vAPP(b,$o,X9,X8) )
| ( $true != vAPP(sTfun(b,$o),$o,X1,X9) ) )
| ( $true != vAPP(b,$o,X6,X8) ) ) )
& ! [X2: b > $o] :
( ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,X2,X4) = $true )
| ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4) != $true )
| ? [X5: b] :
( ( vAPP(b,$o,X2,X5) != $true )
& ( vAPP(b,$o,X3,X5) = $true ) ) )
| ( vAPP(sTfun(b,$o),$o,X1,X2) != $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ? [X6: b > $o,X7: b] :
( ? [X10: b > $o] :
( ( $true != vAPP(b,$o,X10,X7) )
& ( $true = vAPP(sTfun(b,$o),$o,X1,X10) ) )
& ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X6),X7) )
& ! [X8: b] :
( ! [X9: b > $o] :
( ( $true = vAPP(b,$o,X9,X8) )
| ( $true != vAPP(sTfun(b,$o),$o,X1,X9) ) )
| ( $true != vAPP(b,$o,X6,X8) ) ) )
& ! [X2: b > $o] :
( ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,X2,X4) = $true )
| ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4) != $true )
| ? [X5: b] :
( ( vAPP(b,$o,X2,X5) != $true )
& ( vAPP(b,$o,X3,X5) = $true ) ) )
| ( vAPP(sTfun(b,$o),$o,X1,X2) != $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( vAPP(sTfun(b,$o),$o,X1,X2) = $true )
=> ! [X3: b > $o,X4: b] :
( ( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4) = $true )
& ! [X5: b] :
( ( vAPP(b,$o,X3,X5) = $true )
=> ( vAPP(b,$o,X2,X5) = $true ) ) )
=> ( vAPP(b,$o,X2,X4) = $true ) ) )
=> ! [X6: b > $o,X7: b] :
( ( ( $true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X6),X7) )
& ! [X8: b] :
( ( $true = vAPP(b,$o,X6,X8) )
=> ! [X9: b > $o] :
( ( $true = vAPP(sTfun(b,$o),$o,X1,X9) )
=> ( $true = vAPP(b,$o,X9,X8) ) ) ) )
=> ! [X10: b > $o] :
( ( $true = vAPP(sTfun(b,$o),$o,X1,X10) )
=> ( $true = vAPP(b,$o,X10,X7) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X2)
=> ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4)
& ! [X5: b] :
( vAPP(b,$o,X3,X5)
=> vAPP(b,$o,X2,X5) ) )
=> vAPP(b,$o,X2,X4) ) )
=> ! [X6: b > $o,X7: b] :
( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X6),X7)
& ! [X8: b] :
( vAPP(b,$o,X6,X8)
=> ! [X9: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X9)
=> vAPP(b,$o,X9,X8) ) ) )
=> ! [X10: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X10)
=> vAPP(b,$o,X10,X7) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X2)
=> ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4)
& ! [X5: b] :
( vAPP(b,$o,X3,X5)
=> vAPP(b,$o,X2,X5) ) )
=> vAPP(b,$o,X2,X4) ) )
=> ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4)
& ! [X2: b] :
( vAPP(b,$o,X3,X2)
=> ! [X6: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X6)
=> vAPP(b,$o,X6,X2) ) ) )
=> ! [X6: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X6)
=> vAPP(b,$o,X6,X4) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( b > $o ) > b > $o,X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X2)
=> ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4)
& ! [X5: b] :
( vAPP(b,$o,X3,X5)
=> vAPP(b,$o,X2,X5) ) )
=> vAPP(b,$o,X2,X4) ) )
=> ! [X3: b > $o,X4: b] :
( ( vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),X0,X3),X4)
& ! [X2: b] :
( vAPP(b,$o,X3,X2)
=> ! [X6: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X6)
=> vAPP(b,$o,X6,X2) ) ) )
=> ! [X6: b > $o] :
( vAPP(sTfun(b,$o),$o,X1,X6)
=> vAPP(b,$o,X6,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM564_pme) ).
thf(f259,plain,
$true != vAPP(sTfun(b,$o),$o,sK1,sK4),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f258,plain,
( ( $true = $false )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,sK4) ) ),
inference(forward_demodulation,[],[f257,f32]) ).
thf(f32,plain,
$false = vAPP(b,$o,sK4,sK3),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f30,plain,
( ( $true != $true )
| ( $false = vAPP(b,$o,sK4,sK3) ) ),
inference(superposition,[],[f20,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f20,plain,
$true != vAPP(b,$o,sK4,sK3),
inference(cnf_transformation,[],[f14]) ).
thf(f257,plain,
( ( $true = vAPP(b,$o,sK4,sK3) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,sK4) ) ),
inference(trivial_inequality_removal,[],[f250]) ).
thf(f250,plain,
( ( $true != $true )
| ( $true = vAPP(b,$o,sK4,sK3) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,sK4) ) ),
inference(superposition,[],[f231,f65]) ).
thf(f65,plain,
! [X0: b > $o] :
( ( $true = vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),X0)) )
| ( $true = vAPP(b,$o,X0,sK3) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X0) ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f62,plain,
! [X0: b > $o] :
( ( $true != $true )
| ( $true = vAPP(b,$o,X0,sK3) )
| ( $true = vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),X0)) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X0) ) ),
inference(superposition,[],[f15,f18]) ).
thf(f18,plain,
$true = vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,sK2),sK3),
inference(cnf_transformation,[],[f14]) ).
thf(f15,plain,
! [X8: b > $o,X9: b,X7: b > $o] :
( ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X8),X9) )
| ( $true = vAPP(b,$o,X7,X9) )
| ( $true = vAPP(b,$o,X8,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X8),X7)) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X7) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f231,plain,
$true != vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),sK4)),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f230,plain,
( ( $true = $false )
| ( $true != vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),sK4)) ) ),
inference(forward_demodulation,[],[f229,f32]) ).
thf(f229,plain,
( ( $true = vAPP(b,$o,sK4,sK3) )
| ( $true != vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),sK4)) ) ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f228,plain,
( ( $true != $true )
| ( $true = vAPP(b,$o,sK4,sK3) )
| ( $true != vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),sK4)) ) ),
inference(forward_demodulation,[],[f217,f19]) ).
thf(f217,plain,
( ( $true != vAPP(sTfun(b,$o),$o,sK1,sK4) )
| ( $true = vAPP(b,$o,sK4,sK3) )
| ( $true != vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),sK4)) ) ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f198,plain,
( ( $true = $false )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,sK4) )
| ( $true = vAPP(b,$o,sK4,sK3) )
| ( $true != vAPP(b,$o,sK2,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),sK4)) ) ),
inference(superposition,[],[f169,f57]) ).
thf(f57,plain,
! [X0: b] :
( ( $true = vAPP(b,$o,sK4,X0) )
| ( $true != vAPP(b,$o,sK2,X0) ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f54,plain,
! [X0: b] :
( ( $true != $true )
| ( $true = vAPP(b,$o,sK4,X0) )
| ( $true != vAPP(b,$o,sK2,X0) ) ),
inference(superposition,[],[f17,f19]) ).
thf(f17,plain,
! [X6: b > $o,X5: b] :
( ( $true != vAPP(sTfun(b,$o),$o,sK1,X6) )
| ( $true = vAPP(b,$o,X6,X5) )
| ( $true != vAPP(b,$o,sK2,X5) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f169,plain,
! [X0: b > $o] :
( ( $false = vAPP(b,$o,X0,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),X0)) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X0) )
| ( $true = vAPP(b,$o,X0,sK3) ) ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f166,plain,
! [X0: b > $o] :
( ( $true != $true )
| ( $true = vAPP(b,$o,X0,sK3) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X0) )
| ( $false = vAPP(b,$o,X0,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,sK2),X0)) ) ),
inference(superposition,[],[f74,f18]) ).
thf(f74,plain,
! [X2: b,X0: b > $o,X1: b > $o] :
( ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X1),X2) )
| ( $true = vAPP(b,$o,X0,X2) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X0) )
| ( $false = vAPP(b,$o,X0,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X1),X0)) ) ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f73,plain,
! [X2: b,X0: b > $o,X1: b > $o] :
( ( $true != $true )
| ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X1),X2) )
| ( $true = vAPP(b,$o,X0,X2) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X0) )
| ( $false = vAPP(b,$o,X0,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X1),X0)) ) ),
inference(superposition,[],[f16,f4]) ).
thf(f16,plain,
! [X8: b > $o,X9: b,X7: b > $o] :
( ( $true != vAPP(b,$o,X7,vAPP(sTfun(b,$o),b,vAPP(sTfun(b,$o),sTfun(sTfun(b,$o),b),sK5,X8),X7)) )
| ( $true != vAPP(b,$o,vAPP(sTfun(b,$o),sTfun(b,$o),sK0,X8),X9) )
| ( $true = vAPP(b,$o,X7,X9) )
| ( $true != vAPP(sTfun(b,$o),$o,sK1,X7) ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV185^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:14:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (16295)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (16300)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39 % (16299)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39 % (16296)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 % (16298)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)
% 0.22/0.39 % (16301)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39 % (16299)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39 % (16298)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % (16297)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (16302)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)
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % (16298)First to succeed.
% 0.22/0.40 % (16300)Also succeeded, but the first one will report.
% 0.22/0.40 % (16298)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16295"
% 0.22/0.40 % (16298)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (16298)------------------------------
% 0.22/0.40 % (16298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (16298)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (16298)Memory used [KB]: 900
% 0.22/0.40 % (16298)Time elapsed: 0.014 s
% 0.22/0.40 % (16298)Instructions burned: 22 (million)
% 0.22/0.40 % (16295)Success in time 0.022 s
%------------------------------------------------------------------------------