TSTP Solution File: NUM753^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM753^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 08:42:12 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 76 ( 24 unt; 17 typ; 0 def)
% Number of atoms : 670 ( 98 equ; 0 cnn)
% Maximal formula atoms : 4 ( 11 avg)
% Number of connectives : 110 ( 43 ~; 49 |; 0 &; 0 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-6 aty)
% Number of variables : 115 ( 0 ^ 109 !; 0 ?; 115 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
frac: $tType ).
thf(func_def_1,type,
x: frac ).
thf(func_def_2,type,
y: frac ).
thf(func_def_3,type,
z: frac ).
thf(func_def_4,type,
u: frac ).
thf(func_def_5,type,
eq: frac > frac > $o ).
thf(func_def_7,type,
moref: frac > frac > $o ).
thf(func_def_8,type,
pf: frac > frac > frac ).
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(f601,plain,
$false,
inference(trivial_inequality_removal,[],[f570]) ).
thf(f570,plain,
$true = $false,
inference(superposition,[],[f278,f557]) ).
thf(f557,plain,
! [X0: frac] : ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),X0)) ),
inference(trivial_inequality_removal,[],[f532]) ).
thf(f532,plain,
! [X0: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),X0)) )
| ( $true != $true ) ),
inference(superposition,[],[f252,f38]) ).
thf(f38,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true,
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
thf(f252,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X0)) ) ),
inference(trivial_inequality_removal,[],[f246]) ).
thf(f246,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true != $true )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X0)) ) ),
inference(superposition,[],[f37,f39]) ).
thf(f39,plain,
! [X0: frac] : ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0) = $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: frac] : ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0) = $true ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: frac] : vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X0: frac] : vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz37) ).
thf(f37,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X0) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X3),X0)) ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f33,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X0) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X3),X0)) ) ),
inference(rectify,[],[f30]) ).
thf(f30,plain,
! [X3: frac,X0: frac,X1: frac,X2: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X3)) ) ),
inference(flattening,[],[f29]) ).
thf(f29,plain,
! [X2: frac,X0: frac,X3: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X3)) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true ) ),
inference(ennf_transformation,[],[f18]) ).
thf(f18,plain,
! [X2: frac,X0: frac,X3: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) = $true )
=> ( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) = $true )
=> ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X3)) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X3)) ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
! [X0: frac,X2: frac,X1: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz56) ).
thf(f278,plain,
$false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),u)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
inference(trivial_inequality_removal,[],[f270]) ).
thf(f270,plain,
( ( $true = $false )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),u)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) ) ),
inference(superposition,[],[f77,f222]) ).
thf(f222,plain,
! [X0: frac] :
( ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),X0) ) ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f190,plain,
! [X0: frac] :
( ( $true = $false )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),X0) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) ) ),
inference(superposition,[],[f69,f126]) ).
thf(f126,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $false )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2) ) ),
inference(trivial_inequality_removal,[],[f120]) ).
thf(f120,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2) )
| ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $false )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) ) ),
inference(superposition,[],[f93,f10]) ).
thf(f10,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f93,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X0) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X1) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f92,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X1) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X0) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $false )
| ( $true != $true ) ),
inference(superposition,[],[f86,f10]) ).
thf(f86,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f83,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X2) )
| ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) ) ),
inference(superposition,[],[f36,f39]) ).
thf(f36,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X1) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X3),X1) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f32,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X1) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X3),X1) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X3) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) ) ),
inference(rectify,[],[f27]) ).
thf(f27,plain,
! [X0: frac,X3: frac,X2: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X3) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) ) ),
inference(flattening,[],[f26]) ).
thf(f26,plain,
! [X0: frac,X2: frac,X3: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X3) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) ) ),
inference(ennf_transformation,[],[f20]) ).
thf(f20,plain,
! [X0: frac,X2: frac,X3: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) )
=> ( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $true )
=> ( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) = $true )
=> ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X3) ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X3) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: frac,X2: frac,X1: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz44) ).
thf(f69,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) = $false,
inference(trivial_inequality_removal,[],[f68]) ).
thf(f68,plain,
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) = $false )
| ( $true != $true ) ),
inference(superposition,[],[f34,f10]) ).
thf(f34,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true,
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true,
inference(flattening,[],[f22]) ).
thf(f22,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true,
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
inference(rectify,[],[f8]) ).
thf(f8,negated_conjecture,
~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
inference(negated_conjecture,[],[f7]) ).
thf(f7,conjecture,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz62g) ).
thf(f77,plain,
! [X0: frac] : ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),u)) ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f73,plain,
! [X0: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),u)) )
| ( $true != $true ) ),
inference(superposition,[],[f35,f40]) ).
thf(f40,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true,
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true,
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
thf(f35,plain,
! [X2: frac,X0: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X1)) = $true ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f31,plain,
! [X0: frac,X1: frac,X2: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X1)) = $true ) ),
inference(rectify,[],[f28]) ).
thf(f28,plain,
! [X0: frac,X2: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)) ) ),
inference(ennf_transformation,[],[f24]) ).
thf(f24,plain,
! [X0: frac,X2: frac,X1: frac] :
( ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2) )
=> ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X2)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X0: frac,X2: frac,X1: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X0)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz62d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM753^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n013.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 14:03:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23078)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23080)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/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
% 0.15/0.37 % (23081)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)
% 0.15/0.37 % (23083)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (23082)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (23079)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (23084)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (23085)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 % (23081)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.37 % (23082)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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% Exception at run slice level
% 0.15/0.37
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 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
% 0.15/0.39 % (23086)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 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % (23088)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)
% 0.15/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.39 % (23089)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)
% 0.15/0.39 % (23088)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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
% 0.15/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.39 % (23087)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)
% 0.15/0.39 % (23087)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.40 % (23090)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.42 % (23089)First to succeed.
% 0.21/0.42 % (23089)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23078"
% 0.21/0.42 % (23089)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (23089)------------------------------
% 0.21/0.42 % (23089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (23089)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (23089)Memory used [KB]: 970
% 0.21/0.42 % (23089)Time elapsed: 0.050 s
% 0.21/0.42 % (23089)Instructions burned: 58 (million)
% 0.21/0.42 % (23078)Success in time 0.051 s
%------------------------------------------------------------------------------