TSTP Solution File: SEV197^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV197^5 : 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 : 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 09:44:03 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 73 ( 8 unt; 20 typ; 0 def)
% Number of atoms : 469 ( 147 equ; 0 cnn)
% Maximal formula atoms : 13 ( 8 avg)
% Number of connectives : 217 ( 69 ~; 58 |; 62 &; 0 @)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 35 ( 34 >; 1 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 14 con; 0-6 aty)
% Number of variables : 159 ( 0 ^ 121 !; 32 ?; 159 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
c0: iS ).
thf(func_def_2,type,
cP: iS > iS > iS ).
thf(func_def_6,type,
sK0: iS ).
thf(func_def_7,type,
sK1: iS ).
thf(func_def_8,type,
sK2: iS ).
thf(func_def_9,type,
sK3: iS ).
thf(func_def_10,type,
sK4: iS ).
thf(func_def_11,type,
sK5: iS ).
thf(func_def_12,type,
sK6: ( iS > $o ) > iS ).
thf(func_def_13,type,
sK7: ( iS > $o ) > iS ).
thf(func_def_15,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_16,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_17,type,
vAND: $o > $o > $o ).
thf(func_def_18,type,
vOR: $o > $o > $o ).
thf(func_def_19,type,
vIMP: $o > $o > $o ).
thf(func_def_20,type,
vNOT: $o > $o ).
thf(func_def_21,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f182,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f87,f118,f132,f134,f136,f168,f181]) ).
thf(f181,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f180]) ).
thf(f180,plain,
( $false
| spl8_1 ),
inference(subsumption_resolution,[],[f179,f54]) ).
thf(f54,plain,
( ( sK2 != sK3 )
| spl8_1 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f52,plain,
( spl8_1
<=> ( sK2 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
thf(f179,plain,
sK2 = sK3,
inference(equality_resolution,[],[f162]) ).
thf(f162,plain,
! [X0: iS,X1: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK2),sK4) )
| ( sK3 = X0 ) ),
inference(superposition,[],[f15,f159]) ).
thf(f159,plain,
vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK2),sK4) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK3),sK5),
inference(subsumption_resolution,[],[f20,f14]) ).
thf(f14,plain,
! [X14: iS,X15: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X14),X15) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( ( c0 = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK0),sK1) )
| ( ( ( sK4 != sK5 )
| ( sK2 != sK3 ) )
& ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK2),sK4) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK3),sK5) ) ) )
& ! [X6: iS > $o] :
( ! [X7: iS] : ( $true = vAPP(iS,$o,X6,X7) )
| ( ( $true != vAPP(iS,$o,X6,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,vAPP(sTfun(iS,$o),iS,sK6,X6)),vAPP(sTfun(iS,$o),iS,sK7,X6))) )
& ( $true = vAPP(iS,$o,X6,vAPP(sTfun(iS,$o),iS,sK7,X6)) )
& ( $true = vAPP(iS,$o,X6,vAPP(sTfun(iS,$o),iS,sK6,X6)) ) )
| ( $true != vAPP(iS,$o,X6,c0) ) )
& ! [X10: iS,X11: iS,X12: iS,X13: iS] :
( ( ( X12 = X13 )
& ( X10 = X11 ) )
| ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X12) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X11),X13) ) )
& ! [X14: iS,X15: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X14),X15) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f9,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: iS,X1: iS] : ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) = c0 )
=> ( c0 = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X2: iS,X3: iS,X4: iS,X5: iS] :
( ( ( X4 != X5 )
| ( X2 != X3 ) )
& ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X2),X4) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X3),X5) ) )
=> ( ( ( sK4 != sK5 )
| ( sK2 != sK3 ) )
& ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK2),sK4) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK3),sK5) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X6: iS > $o] :
( ? [X8: iS,X9: iS] :
( ( $true != vAPP(iS,$o,X6,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X8),X9)) )
& ( $true = vAPP(iS,$o,X6,X9) )
& ( $true = vAPP(iS,$o,X6,X8) ) )
=> ( ( $true != vAPP(iS,$o,X6,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,vAPP(sTfun(iS,$o),iS,sK6,X6)),vAPP(sTfun(iS,$o),iS,sK7,X6))) )
& ( $true = vAPP(iS,$o,X6,vAPP(sTfun(iS,$o),iS,sK7,X6)) )
& ( $true = vAPP(iS,$o,X6,vAPP(sTfun(iS,$o),iS,sK6,X6)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ( ? [X0: iS,X1: iS] : ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) = c0 )
| ? [X2: iS,X3: iS,X4: iS,X5: iS] :
( ( ( X4 != X5 )
| ( X2 != X3 ) )
& ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X2),X4) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X3),X5) ) ) )
& ! [X6: iS > $o] :
( ! [X7: iS] : ( $true = vAPP(iS,$o,X6,X7) )
| ? [X8: iS,X9: iS] :
( ( $true != vAPP(iS,$o,X6,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X8),X9)) )
& ( $true = vAPP(iS,$o,X6,X9) )
& ( $true = vAPP(iS,$o,X6,X8) ) )
| ( $true != vAPP(iS,$o,X6,c0) ) )
& ! [X10: iS,X11: iS,X12: iS,X13: iS] :
( ( ( X12 = X13 )
& ( X10 = X11 ) )
| ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X12) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X11),X13) ) )
& ! [X14: iS,X15: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X14),X15) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
( ( ? [X10: iS,X11: iS] : ( c0 = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X11) )
| ? [X12: iS,X13: iS,X14: iS,X15: iS] :
( ( ( X14 != X15 )
| ( X12 != X13 ) )
& ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X12),X14) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X13),X15) ) ) )
& ! [X0: iS > $o] :
( ! [X3: iS] : ( $true = vAPP(iS,$o,X0,X3) )
| ? [X1: iS,X2: iS] :
( ( $true != vAPP(iS,$o,X0,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X2)) )
& ( $true = vAPP(iS,$o,X0,X2) )
& ( $true = vAPP(iS,$o,X0,X1) ) )
| ( $true != vAPP(iS,$o,X0,c0) ) )
& ! [X4: iS,X5: iS,X6: iS,X7: iS] :
( ( ( X6 = X7 )
& ( X4 = X5 ) )
| ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X4),X6) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X5),X7) ) )
& ! [X8: iS,X9: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X8),X9) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ( ? [X10: iS,X11: iS] : ( c0 = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X11) )
| ? [X12: iS,X13: iS,X14: iS,X15: iS] :
( ( ( X14 != X15 )
| ( X12 != X13 ) )
& ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X12),X14) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X13),X15) ) ) )
& ! [X0: iS > $o] :
( ! [X3: iS] : ( $true = vAPP(iS,$o,X0,X3) )
| ? [X1: iS,X2: iS] :
( ( $true != vAPP(iS,$o,X0,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X2)) )
& ( $true = vAPP(iS,$o,X0,X2) )
& ( $true = vAPP(iS,$o,X0,X1) ) )
| ( $true != vAPP(iS,$o,X0,c0) ) )
& ! [X4: iS,X5: iS,X6: iS,X7: iS] :
( ( ( X6 = X7 )
& ( X4 = X5 ) )
| ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X4),X6) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X5),X7) ) )
& ! [X8: iS,X9: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X8),X9) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ! [X0: iS > $o] :
( ( ! [X1: iS,X2: iS] :
( ( ( $true = vAPP(iS,$o,X0,X2) )
& ( $true = vAPP(iS,$o,X0,X1) ) )
=> ( $true = vAPP(iS,$o,X0,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X2)) ) )
& ( $true = vAPP(iS,$o,X0,c0) ) )
=> ! [X3: iS] : ( $true = vAPP(iS,$o,X0,X3) ) )
& ! [X4: iS,X5: iS,X6: iS,X7: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X4),X6) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X5),X7) )
=> ( ( X6 = X7 )
& ( X4 = X5 ) ) )
& ! [X8: iS,X9: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X8),X9) ) )
=> ( ! [X10: iS,X11: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X11) )
& ! [X12: iS,X13: iS,X14: iS,X15: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X12),X14) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X13),X15) )
=> ( ( X14 = X15 )
& ( X12 = X13 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: iS > $o] :
( ( ! [X1: iS,X2: iS] :
( ( vAPP(iS,$o,X0,X2)
& vAPP(iS,$o,X0,X1) )
=> vAPP(iS,$o,X0,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X2)) )
& vAPP(iS,$o,X0,c0) )
=> ! [X3: iS] : vAPP(iS,$o,X0,X3) )
& ! [X4: iS,X5: iS,X6: iS,X7: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X4),X6) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X5),X7) )
=> ( ( X6 = X7 )
& ( X4 = X5 ) ) )
& ! [X8: iS,X9: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X8),X9) ) )
=> ( ! [X10: iS,X11: iS] : ( c0 != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X11) )
& ! [X12: iS,X13: iS,X14: iS,X15: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X12),X14) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X13),X15) )
=> ( ( X14 = X15 )
& ( X12 = X13 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( vAPP(iS,$o,X4,X1)
& vAPP(iS,$o,X4,X0) )
=> vAPP(iS,$o,X4,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1)) )
& vAPP(iS,$o,X4,c0) )
=> ! [X0: iS] : vAPP(iS,$o,X4,X0) )
& ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X2) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X3) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) )
& ! [X0: iS,X1: iS] : ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) != c0 ) )
=> ( ! [X0: iS,X1: iS] : ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) != c0 )
& ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X2) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X3) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( vAPP(iS,$o,X4,X1)
& vAPP(iS,$o,X4,X0) )
=> vAPP(iS,$o,X4,vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1)) )
& vAPP(iS,$o,X4,c0) )
=> ! [X0: iS] : vAPP(iS,$o,X4,X0) )
& ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X2) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X3) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) )
& ! [X0: iS,X1: iS] : ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) != c0 ) )
=> ( ! [X0: iS,X1: iS] : ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) != c0 )
& ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X2) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X1),X3) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_ALG02_pme) ).
thf(f20,plain,
( ( c0 = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK0),sK1) )
| ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK2),sK4) = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK3),sK5) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f15,plain,
! [X10: iS,X11: iS,X12: iS,X13: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X12) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X11),X13) )
| ( X10 = X11 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f168,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f167]) ).
thf(f167,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f166,f58]) ).
thf(f58,plain,
( ( sK4 != sK5 )
| spl8_2 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl8_2
<=> ( sK4 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
thf(f166,plain,
sK4 = sK5,
inference(equality_resolution,[],[f160]) ).
thf(f160,plain,
! [X0: iS,X1: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X0),X1) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK2),sK4) )
| ( sK5 = X1 ) ),
inference(superposition,[],[f16,f159]) ).
thf(f16,plain,
! [X10: iS,X11: iS,X12: iS,X13: iS] :
( ( vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X10),X12) != vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,X11),X13) )
| ( X12 = X13 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f136,plain,
( spl8_2
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f135]) ).
thf(f135,plain,
( $false
| spl8_2
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f130,f86]) ).
thf(f86,plain,
( ! [X0: iS] : ( c0 = X0 )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f85,plain,
( spl8_4
<=> ! [X0: iS] : ( c0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
thf(f130,plain,
( ( c0 != sK4 )
| spl8_2
| ~ spl8_4 ),
inference(superposition,[],[f58,f86]) ).
thf(f134,plain,
( spl8_1
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f133]) ).
thf(f133,plain,
( $false
| spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f129,f86]) ).
thf(f129,plain,
( ( c0 != sK2 )
| spl8_1
| ~ spl8_4 ),
inference(superposition,[],[f54,f86]) ).
thf(f132,plain,
~ spl8_4,
inference(avatar_contradiction_clause,[],[f131]) ).
thf(f131,plain,
( $false
| ~ spl8_4 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f125,plain,
( ( c0 != c0 )
| ~ spl8_4 ),
inference(superposition,[],[f14,f86]) ).
thf(f118,plain,
( spl8_5
| spl8_4 ),
inference(avatar_split_clause,[],[f113,f85,f115]) ).
thf(f115,plain,
( spl8_5
<=> ( c0 = vAPP(sTfun(iS,$o),iS,sK7,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
thf(f113,plain,
! [X0: iS] :
( ( c0 = X0 )
| ( c0 = vAPP(sTfun(iS,$o),iS,sK7,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0)) ) ),
inference(equality_proxy_clausification,[],[f96]) ).
thf(f96,plain,
! [X0: iS] :
( ( $true = vAPP(iS,$o,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0),X0) )
| ( c0 = vAPP(sTfun(iS,$o),iS,sK7,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0)) ) ),
inference(leibniz_equality_elimination,[],[f18]) ).
thf(f18,plain,
! [X6: iS > $o,X7: iS] :
( ( $true = vAPP(iS,$o,X6,vAPP(sTfun(iS,$o),iS,sK7,X6)) )
| ( $true = vAPP(iS,$o,X6,X7) )
| ( $true != vAPP(iS,$o,X6,c0) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f87,plain,
( spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f79,f85,f81]) ).
thf(f81,plain,
( spl8_3
<=> ( c0 = vAPP(sTfun(iS,$o),iS,sK6,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
thf(f79,plain,
! [X0: iS] :
( ( c0 = X0 )
| ( c0 = vAPP(sTfun(iS,$o),iS,sK6,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0)) ) ),
inference(equality_proxy_clausification,[],[f62]) ).
thf(f62,plain,
! [X0: iS] :
( ( $true = vAPP(iS,$o,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0),X0) )
| ( c0 = vAPP(sTfun(iS,$o),iS,sK6,vAPP(iS,sTfun(iS,$o),vEQ(iS),c0)) ) ),
inference(leibniz_equality_elimination,[],[f17]) ).
thf(f17,plain,
! [X6: iS > $o,X7: iS] :
( ( $true = vAPP(iS,$o,X6,vAPP(sTfun(iS,$o),iS,sK6,X6)) )
| ( $true = vAPP(iS,$o,X6,X7) )
| ( $true != vAPP(iS,$o,X6,c0) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f59,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f50,f56,f52]) ).
thf(f50,plain,
( ( sK4 != sK5 )
| ( sK2 != sK3 ) ),
inference(subsumption_resolution,[],[f21,f14]) ).
thf(f21,plain,
( ( c0 = vAPP(iS,iS,vAPP(iS,sTfun(iS,iS),cP,sK0),sK1) )
| ( sK4 != sK5 )
| ( sK2 != sK3 ) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV197^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 11:55:27 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (9531)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (9536)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)
% 0.15/0.32 % (9533)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (9534)WARNING: value z3 for option sas not known
% 0.15/0.32 % (9535)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (9537)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)
% 0.15/0.32 % (9532)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (9538)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)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 % (9534)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)
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (9538)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (9534)First to succeed.
% 0.15/0.33 % (9536)Also succeeded, but the first one will report.
% 0.15/0.33 % (9537)Also succeeded, but the first one will report.
% 0.15/0.33 % (9534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9531"
% 0.15/0.33 % (9538)Also succeeded, but the first one will report.
% 0.15/0.33 % (9534)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (9534)------------------------------
% 0.15/0.33 % (9534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33 % (9534)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (9534)Memory used [KB]: 875
% 0.15/0.33 % (9534)Time elapsed: 0.010 s
% 0.15/0.33 % (9534)Instructions burned: 15 (million)
% 0.15/0.33 % (9531)Success in time 0.021 s
%------------------------------------------------------------------------------