TSTP Solution File: SYO253^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO253^5 : 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 : n010.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 09:10:45 EDT 2024
% Result : Theorem 0.14s 0.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 3 unt; 9 typ; 0 def)
% Number of atoms : 147 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 10 avg)
% Number of connectives : 38 ( 21 ~; 9 |; 8 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 27 ( 26 >; 1 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 15 ( 0 ^ 4 !; 5 ?; 15 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
p: $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
vNOT: $o > $o ).
thf(func_def_6,type,
vOR: $o > $o > $o ).
thf(func_def_7,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_8,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_9,type,
vIMP: $o > $o > $o ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f54,plain,
$false,
inference(trivial_inequality_removal,[],[f53]) ).
thf(f53,plain,
$true = $false,
inference(boolean_simplification,[],[f52]) ).
thf(f52,plain,
$true = vAPP($o,$o,vNOT,$true),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
( ( $true != $true )
| ( $true = vAPP($o,$o,vNOT,$true) ) ),
inference(boolean_simplification,[],[f48]) ).
thf(f48,plain,
( ( $true != vAPP($o,$o,vNOT,$false) )
| ( $true = vAPP($o,$o,vNOT,$true) ) ),
inference(primitive_instantiation,[],[f11]) ).
thf(f11,plain,
! [X0: $o > $o] :
( ( $true != vAPP($o,$o,X0,$false) )
| ( $true = vAPP($o,$o,X0,$true) ) ),
inference(boolean_simplification,[],[f10]) ).
thf(f10,plain,
! [X0: $o > $o] :
( ( $true = vAPP($o,$o,X0,$true) )
| ( $true != vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,p),vAPP($o,$o,vNOT,p))) ) ),
inference(boolean_simplification,[],[f9]) ).
thf(f9,plain,
! [X0: $o > $o] :
( ( $true = vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,p),vAPP($o,$o,vNOT,p))) )
| ( $true != vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,p),vAPP($o,$o,vNOT,p))) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
! [X0: $o > $o] :
( ( $true = vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,p),vAPP($o,$o,vNOT,p))) )
| ( $true != vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,p),vAPP($o,$o,vNOT,p))) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ? [X0: $o > $o] :
( ( $true != vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,p),vAPP($o,$o,vNOT,p))) )
& ( $true = vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,p),vAPP($o,$o,vNOT,p))) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ? [X0: $o > $o] :
( ( $true != vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,p),vAPP($o,$o,vNOT,p))) )
& ( $true = vAPP($o,$o,X0,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,p),vAPP($o,$o,vNOT,p))) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ? [X0: $o > $o] :
( ~ vAPP($o,$o,X0,
( ~ p
| p ))
& vAPP($o,$o,X0,
( ~ p
& p )) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $o > $o] :
( ~ vAPP($o,$o,X0,
( ~ p
| p ))
& vAPP($o,$o,X0,
( ~ p
& p )) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: $o > $o] :
( ~ vAPP($o,$o,X0,
( ~ p
| p ))
& vAPP($o,$o,X0,
( ~ p
& p )) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM124) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO253^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n010.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
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 09:36:38 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (23167)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (23169)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.31 % (23172)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.31 % Exception at run slice level
% 0.14/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.31 % (23172)First to succeed.
% 0.14/0.31 % (23172)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23167"
% 0.14/0.31 % (23171)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.31 % (23171)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.31 % Exception at run slice level
% 0.14/0.31 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.31 % (23172)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 % (23172)------------------------------
% 0.14/0.31 % (23172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (23172)Termination reason: Refutation
% 0.14/0.31
% 0.14/0.31 % (23172)Memory used [KB]: 755
% 0.14/0.31 % (23172)Time elapsed: 0.002 s
% 0.14/0.31 % (23172)Instructions burned: 4 (million)
% 0.14/0.31 % (23167)Success in time 0.013 s
%------------------------------------------------------------------------------