TSTP Solution File: SEU850^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU850^5 : 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 : n025.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 04:06:52 EDT 2024
% Result : Theorem 0.14s 0.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 62 ( 5 unt; 18 typ; 0 def)
% Number of atoms : 640 ( 144 equ; 0 cnn)
% Maximal formula atoms : 12 ( 14 avg)
% Number of connectives : 168 ( 49 ~; 51 |; 48 &; 0 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 89 ( 88 >; 1 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 3 con; 0-6 aty)
% Number of variables : 88 ( 0 ^ 52 !; 30 ?; 88 :)
% ( 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_4,type,
sP0: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_5,type,
sP1: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_6,type,
sK2: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_7,type,
sK3: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_8,type,
sK4: a > $o ).
thf(func_def_9,type,
sK5: a > $o ).
thf(func_def_10,type,
sK6: a > $o ).
thf(func_def_11,type,
sK7: a ).
thf(func_def_12,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
vAND: $o > $o > $o ).
thf(func_def_15,type,
vOR: $o > $o > $o ).
thf(func_def_16,type,
vIMP: $o > $o > $o ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f92,plain,
$false,
inference(unit_resulting_resolution,[],[f84,f85,f26]) ).
thf(f26,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,X1),X0)) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: a > $o,X1: a > $o] :
( ( ( $true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,X1),X0)) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,X1),X0)) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f17,f18]) ).
thf(f18,plain,
! [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( $true != vAPP(a,$o,X0,X2) )
& ( $true = vAPP(a,$o,X1,X2) ) )
=> ( ( $true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,X1),X0)) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,X1),X0)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
! [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( $true != vAPP(a,$o,X0,X2) )
& ( $true = vAPP(a,$o,X1,X2) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0) ) ),
inference(rectify,[],[f16]) ).
thf(f16,plain,
! [X1: a > $o,X0: a > $o] :
( ? [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X1: a > $o,X0: a > $o] :
( ? [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f85,plain,
$true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,sK4),sK4)),
inference(unit_resulting_resolution,[],[f84,f25]) ).
thf(f25,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X1),X0) )
| ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK3,X1),X0)) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f84,plain,
$true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4),
inference(subsumption_resolution,[],[f82,f39]) ).
thf(f39,plain,
( ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) ) ),
inference(subsumption_resolution,[],[f38,f33]) ).
thf(f33,plain,
( ( $true != vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) ) ),
inference(forward_demodulation,[],[f32,f27]) ).
thf(f27,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( ( ( ( $true != vAPP(a,$o,sK4,sK7) )
& ( $true = vAPP(a,$o,sK6,sK7) ) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK6) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) )
& ( sK5 = sK6 )
& ( sK4 = sK5 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f11,f21,f20]) ).
thf(f20,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X3: a] :
( ( vAPP(a,$o,X0,X3) != $true )
& ( vAPP(a,$o,X2,X3) = $true ) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X2) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1) ) )
& ( X1 = X2 )
& ( X0 = X1 ) )
=> ( ( ? [X3: a] :
( ( $true != vAPP(a,$o,sK4,X3) )
& ( $true = vAPP(a,$o,sK6,X3) ) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK6) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) )
& ( sK5 = sK6 )
& ( sK4 = sK5 ) ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
( ? [X3: a] :
( ( $true != vAPP(a,$o,sK4,X3) )
& ( $true = vAPP(a,$o,sK6,X3) ) )
=> ( ( $true != vAPP(a,$o,sK4,sK7) )
& ( $true = vAPP(a,$o,sK6,sK7) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X3: a] :
( ( vAPP(a,$o,X0,X3) != $true )
& ( vAPP(a,$o,X2,X3) = $true ) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X2) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,X0),X1) ) )
& ( X1 = X2 )
& ( X0 = X1 ) ),
inference(definition_folding,[],[f8,f10,f9]) ).
thf(f10,plain,
! [X2: a > $o,X1: a > $o] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X3: a] :
( ( vAPP(a,$o,X0,X3) != $true )
& ( vAPP(a,$o,X2,X3) = $true ) )
| ? [X4: a] :
( ( $true != vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ? [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) ) )
& ( X1 = X2 )
& ( X0 = X1 ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ? [X3: a] :
( ( vAPP(a,$o,X0,X3) != $true )
& ( vAPP(a,$o,X2,X3) = $true ) )
| ? [X4: a] :
( ( $true != vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ? [X5: a] :
( ( $true != vAPP(a,$o,X1,X5) )
& ( $true = vAPP(a,$o,X0,X5) ) ) )
& ( X1 = X2 )
& ( X0 = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( ! [X3: a] :
( ( vAPP(a,$o,X2,X3) = $true )
=> ( vAPP(a,$o,X0,X3) = $true ) )
& ! [X4: a] :
( ( $true = vAPP(a,$o,X1,X4) )
=> ( $true = vAPP(a,$o,X2,X4) ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,X0,X5) )
=> ( $true = vAPP(a,$o,X1,X5) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( ! [X3: a] :
( vAPP(a,$o,X2,X3)
=> vAPP(a,$o,X0,X3) )
& ! [X4: a] :
( vAPP(a,$o,X1,X4)
=> vAPP(a,$o,X2,X4) )
& ! [X5: a] :
( vAPP(a,$o,X0,X5)
=> vAPP(a,$o,X1,X5) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( ! [X3: a] :
( vAPP(a,$o,X2,X3)
=> vAPP(a,$o,X0,X3) )
& ! [X3: a] :
( vAPP(a,$o,X1,X3)
=> vAPP(a,$o,X2,X3) )
& ! [X3: a] :
( vAPP(a,$o,X0,X3)
=> vAPP(a,$o,X1,X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( ! [X3: a] :
( vAPP(a,$o,X2,X3)
=> vAPP(a,$o,X0,X3) )
& ! [X3: a] :
( vAPP(a,$o,X1,X3)
=> vAPP(a,$o,X2,X3) )
& ! [X3: a] :
( vAPP(a,$o,X0,X3)
=> vAPP(a,$o,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM9_pme) ).
thf(f32,plain,
( ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true != vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(forward_demodulation,[],[f31,f27]) ).
thf(f31,plain,
( ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK5) )
| ( $true != vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(forward_demodulation,[],[f30,f28]) ).
thf(f28,plain,
sK5 = sK6,
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
( ( $true != vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK6) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f38,plain,
( ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true = vAPP(a,$o,sK4,sK7) ) ),
inference(forward_demodulation,[],[f37,f27]) ).
thf(f37,plain,
( ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true = vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(forward_demodulation,[],[f36,f27]) ).
thf(f36,plain,
( ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK5) )
| ( $true = vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(forward_demodulation,[],[f35,f28]) ).
thf(f35,plain,
( ( $true = vAPP(a,$o,sK4,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK6) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(forward_demodulation,[],[f34,f27]) ).
thf(f34,plain,
( ( $true = vAPP(a,$o,sK5,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK6) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(forward_demodulation,[],[f29,f28]) ).
thf(f29,plain,
( ( $true = vAPP(a,$o,sK6,sK7) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK5),sK6) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK5) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f82,plain,
( ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) ) ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f79,plain,
( ( $true != $true )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,sK4),sK4) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) ) ),
inference(superposition,[],[f24,f75]) ).
thf(f75,plain,
( ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,sK4),sK4)) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,sK4,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,sK4),sK4)) )
| ( $true = vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP0,sK4),sK4) ) ),
inference(superposition,[],[f23,f39]) ).
thf(f23,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X0) )
| ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,X1),X0)) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: a > $o,X1: a > $o] :
( ( ( $true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,X1),X0)) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,X1),X0)) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f14]) ).
thf(f14,plain,
! [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( $true != vAPP(a,$o,X0,X2) )
& ( $true = vAPP(a,$o,X1,X2) ) )
=> ( ( $true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,X1),X0)) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,X1),X0)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( $true != vAPP(a,$o,X0,X2) )
& ( $true = vAPP(a,$o,X1,X2) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X0) ) ),
inference(rectify,[],[f12]) ).
thf(f12,plain,
! [X2: a > $o,X1: a > $o] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,X2,X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X2) ) ),
inference(nnf_transformation,[],[f10]) ).
thf(f24,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true != vAPP(a,$o,X0,vAPP(sTfun(a,$o),a,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),a),sK2,X1),X0)) )
| ( $true != vAPP(sTfun(a,$o),$o,vAPP(sTfun(a,$o),sTfun(sTfun(a,$o),$o),sP1,X1),X0) ) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEU850^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n025.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun May 19 17:00:38 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (10772)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (10775)WARNING: value z3 for option sas not known
% 0.09/0.30 % (10775)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)
% 0.09/0.31 % (10773)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 % (10777)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)
% 0.09/0.31 % (10778)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)
% 0.09/0.31 % (10774)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.31 % (10779)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)
% 0.09/0.31 % Exception at run slice level
% 0.09/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.31 % Exception at run slice level
% 0.09/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs% (10779)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.09/0.31
% 0.09/0.31 % (10776)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.31 % Exception at run slice level
% 0.09/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.31 % (10779)First to succeed.
% 0.09/0.31 % (10777)Also succeeded, but the first one will report.
% 0.09/0.31 % (10775)Also succeeded, but the first one will report.
% 0.14/0.31 % (10779)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10772"
% 0.14/0.31 % (10779)Refutation found. Thanks to Tanya!
% 0.14/0.31 % SZS status Theorem for theBenchmark
% 0.14/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.31 % (10779)------------------------------
% 0.14/0.31 % (10779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (10779)Termination reason: Refutation
% 0.14/0.31
% 0.14/0.31 % (10779)Memory used [KB]: 782
% 0.14/0.31 % (10779)Time elapsed: 0.006 s
% 0.14/0.31 % (10779)Instructions burned: 10 (million)
% 0.14/0.31 % (10772)Success in time 0.008 s
%------------------------------------------------------------------------------