TSTP Solution File: NUM754^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM754^1 : 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 : n008.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 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 68 ( 23 unt; 17 typ; 0 def)
% Number of atoms : 629 ( 93 equ; 0 cnn)
% Maximal formula atoms : 5 ( 12 avg)
% Number of connectives : 100 ( 34 ~; 51 |; 0 &; 0 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 95 ( 0 ^ 89 !; 0 ?; 95 :)
% ( 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(f434,plain,
$false,
inference(trivial_inequality_removal,[],[f429]) ).
thf(f429,plain,
$true = $false,
inference(superposition,[],[f28,f424]) ).
thf(f424,plain,
$false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f423,plain,
( ( $true = $false )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) ) ),
inference(forward_demodulation,[],[f410,f28]) ).
thf(f410,plain,
( ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)) ) ),
inference(trivial_inequality_removal,[],[f363]) ).
thf(f363,plain,
( ( $true = $false )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)) ) ),
inference(superposition,[],[f318,f172]) ).
thf(f172,plain,
$true = vAPP(frac,$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(trivial_inequality_removal,[],[f165]) ).
thf(f165,plain,
( ( $true != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) ) ),
inference(superposition,[],[f160,f31]) ).
thf(f31,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true,
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y) = $true,
inference(fool_elimination,[],[f18]) ).
thf(f18,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e) ).
thf(f160,plain,
! [X0: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true )
| ( $true = vAPP(frac,$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,X1),u)) ) ),
inference(trivial_inequality_removal,[],[f153]) ).
thf(f153,plain,
! [X0: frac,X1: frac] :
( ( $true != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),u)) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true ) ),
inference(superposition,[],[f29,f32]) ).
thf(f32,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true,
inference(cnf_transformation,[],[f21]) ).
thf(f21,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true,
inference(fool_elimination,[],[f20]) ).
thf(f20,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f29,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true ) ),
inference(flattening,[],[f23]) ).
thf(f23,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $true )
=> ( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true )
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1)
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3)
=> vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,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/sandbox/benchmark/theBenchmark.p',satz62g) ).
thf(f318,plain,
! [X0: frac,X1: frac] :
( ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X0) ) ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f269,plain,
! [X0: frac,X1: frac] :
( ( $true = $false )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X0) ) ),
inference(superposition,[],[f62,f190]) ).
thf(f190,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) = $false )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) = $false )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f189,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) = $false )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) = $false )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $false ) ),
inference(superposition,[],[f111,f9]) ).
thf(f9,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f111,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X3) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X2) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X3),X2) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f110,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X2) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X3) )
| ( $false = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X3),X2) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $false ) ),
inference(superposition,[],[f69,f9]) ).
thf(f69,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X3),X2) )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X1) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X3),X0) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f68,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( $true != $true )
| ( $true = vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X1) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X3),X2) )
| ( $true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X3),X0) )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $false ) ),
inference(superposition,[],[f30,f9]) ).
thf(f30,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true ) ),
inference(flattening,[],[f25]) ).
thf(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $true )
=> ( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) = $true )
=> ( ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) = $true )
=> ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f16,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$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,$o),moref,X2),X3) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( vAPP(frac,$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,$o),moref,X2),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz44) ).
thf(f62,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) = $false,
inference(trivial_inequality_removal,[],[f61]) ).
thf(f61,plain,
( ( $true != $true )
| ( vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) = $false ) ),
inference(superposition,[],[f27,f9]) ).
thf(f27,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) != $true,
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) != $true,
inference(flattening,[],[f11]) ).
thf(f11,plain,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)) != $true,
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)),
inference(rectify,[],[f7]) ).
thf(f7,negated_conjecture,
~ vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,z),x)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,u),y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz62h) ).
thf(f28,plain,
! [X0: frac,X1: frac] : ( vAPP(frac,$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,X1),X0)) = $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: frac,X1: frac] : ( vAPP(frac,$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,X1),X0)) = $true ),
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
! [X0: frac,X1: frac] : vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X0)),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X0: frac,X1: frac] : vAPP(frac,$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,X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz58) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM754^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.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 14:42:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (13698)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13700)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (13699)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (13703)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (13704)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (13702)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (13701)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (13705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (13702)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (13701)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % Exception at run slice level% Exception at run slice level
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (13706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (13708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (13707)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (13709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (13708)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % (13707)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (13703)First to succeed.
% 0.14/0.39 % (13703)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13698"
% 0.14/0.39 % (13703)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (13703)------------------------------
% 0.14/0.39 % (13703)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (13703)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (13703)Memory used [KB]: 920
% 0.14/0.39 % (13703)Time elapsed: 0.024 s
% 0.14/0.39 % (13703)Instructions burned: 50 (million)
% 0.14/0.39 % (13698)Success in time 0.026 s
%------------------------------------------------------------------------------