TSTP Solution File: SEV196^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV196^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Tue May 21 04:14:37 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 41 ( 6 unt; 15 typ; 0 def)
% Number of atoms : 560 ( 129 equ; 0 cnn)
% Maximal formula atoms : 22 ( 21 avg)
% Number of connectives : 191 ( 71 ~; 63 |; 46 &; 0 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 44 ( 43 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 5 con; 0-6 aty)
% Number of variables : 137 ( 0 ^ 99 !; 32 ?; 137 :)
% ( 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,
y: a ).
thf(func_def_2,type,
x: a ).
thf(func_def_3,type,
cP: a > a > a ).
thf(func_def_4,type,
c0: a ).
thf(func_def_8,type,
sK0: a > a > a > $o ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f62,plain,
$false,
inference(subsumption_resolution,[],[f61,f19]) ).
thf(f19,plain,
! [X3: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X3),c0),X3) ),
inference(equality_resolution,[],[f18]) ).
thf(f18,plain,
! [X2: a,X3: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X3),X2),X3) )
| ( c0 != X2 ) ),
inference(equality_resolution,[],[f12]) ).
thf(f12,plain,
! [X2: a,X3: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X2),X3) )
| ( X1 != X3 )
| ( c0 != X2 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) )
& ! [X1: a,X2: a,X3: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X2),X3) )
| ( ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X5),X7),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X4),X6),X8) )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) != X3 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) != X2 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) )
& ( ( X1 != X3 )
| ( c0 != X2 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: a > a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) != $true )
& ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) = $true )
| ( ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8) != $true )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) != X3 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) != X2 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) )
& ( ( X1 != X3 )
| ( c0 != X2 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) ) ) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) )
& ! [X3: a,X2: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X2),X3) )
| ( ! [X9: a,X8: a,X7: a,X6: a,X5: a,X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X5),X7),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X4),X6),X8) )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) != X3 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) != X2 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) )
& ( ( X1 != X3 )
| ( c0 != X2 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > a > $o] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) != $true )
& ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) = $true )
| ( ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8) != $true )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) != X3 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) != X2 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) )
& ( ( X1 != X3 )
| ( c0 != X2 ) )
& ( ( X2 != X3 )
| ( c0 != X1 ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: a > a > a > $o] :
( ! [X1: a,X2: a,X3: a] :
( ( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8) = $true )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) = X3 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) = X2 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) = $true ) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) = $true ) ),
inference(true_and_false_elimination,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8) = $true )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) = X3 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) = X2 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) = $true ) )
& $true )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) = $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8)
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) = X3 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) = X2 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) )
& $true )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8)
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) = X3 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) = X2 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) )
& $true )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ? [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X5),X7),X9)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X4),X6),X8)
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) = X3 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) = X2 )
& ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) = X1 ) )
| ( ( X1 = X3 )
& ( c0 = X2 ) )
| ( ( X2 = X3 )
& ( c0 = X1 ) ) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,X1),X2),X3) )
& $true )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),X0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_JOIN_LEM2_pme) ).
thf(f61,plain,
$true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,x),c0),x),
inference(subsumption_resolution,[],[f60,f21]) ).
thf(f21,plain,
! [X3: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,c0),X3),X3) ),
inference(equality_resolution,[],[f20]) ).
thf(f20,plain,
! [X3: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X3),X3) )
| ( c0 != X1 ) ),
inference(equality_resolution,[],[f11]) ).
thf(f11,plain,
! [X2: a,X3: a,X1: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X2),X3) )
| ( X2 != X3 )
| ( c0 != X1 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f60,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,c0),y),y) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,x),c0),x) ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f55,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,c0),y),y) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,x),c0),x) ) ),
inference(superposition,[],[f17,f51]) ).
thf(f51,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f50,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)) ) ),
inference(superposition,[],[f14,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f14,plain,
$true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),c0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,c0),y)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,x),y)),
inference(cnf_transformation,[],[f10]) ).
thf(f17,plain,
! [X8: a,X6: a,X9: a,X7: a,X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9)) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X5),X7),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X4),X6),X8) ) ),
inference(equality_resolution,[],[f16]) ).
thf(f16,plain,
! [X1: a,X8: a,X6: a,X9: a,X7: a,X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9)) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X5),X7),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X4),X6),X8) )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) ),
inference(equality_resolution,[],[f15]) ).
thf(f15,plain,
! [X2: a,X1: a,X8: a,X6: a,X9: a,X7: a,X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X2),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9)) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X5),X7),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X4),X6),X8) )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) != X2 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) ),
inference(equality_resolution,[],[f13]) ).
thf(f13,plain,
! [X2: a,X3: a,X1: a,X8: a,X6: a,X9: a,X7: a,X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X1),X2),X3) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X5),X7),X9) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vAPP(a,sTfun(a,sTfun(a,$o)),sK0,X4),X6),X8) )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X8),X9) != X3 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X6),X7) != X2 )
| ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5) != X1 ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV196^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 18:51:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (28723)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (28726)WARNING: value z3 for option sas not known
% 0.14/0.36 % (28727)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (28728)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)
% 0.14/0.36 % (28726)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)
% 0.14/0.36 % (28725)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (28724)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % Exception at run slice level
% 0.14/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.36 % Exception at run slice level
% 0.14/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.36 % Exception at run slice level
% 0.14/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.36 % (28730)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)
% 0.14/0.36 % (28730)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.36 % (28726)First to succeed.
% 0.14/0.36 % (28729)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)
% 0.14/0.36 % (28726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28723"
% 0.14/0.36 % (28726)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (28726)------------------------------
% 0.14/0.36 % (28726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (28726)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (28726)Memory used [KB]: 779
% 0.14/0.36 % (28726)Time elapsed: 0.006 s
% 0.14/0.36 % (28726)Instructions burned: 10 (million)
% 0.14/0.36 % (28723)Success in time 0.021 s
%------------------------------------------------------------------------------