TSTP Solution File: NUM538+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM538+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxPv2235gj true
% Computer : n016.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 : Thu Aug 31 12:42:12 EDT 2023
% Result : Theorem 1.66s 0.89s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 42 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 75 ( 14 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 226 ( 28 ~; 21 |; 9 &; 155 @)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xx_type,type,
xx: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(mFDiffSet,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( isFinite0 @ W1 ) )
=> ( isFinite0 @ ( sdtmndt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( isFinite0 @ X0 )
| ( isFinite0 @ ( sdtmndt0 @ X0 @ X1 ) )
| ~ ( aElement0 @ X1 ) ),
inference(cnf,[status(esa)],[mFDiffSet]) ).
thf(m__1522_02,axiom,
( ( aElementOf0 @ xx @ xS )
& ( isFinite0 @ xS ) ) ).
thf(zip_derived_cl71,plain,
aElementOf0 @ xx @ xS,
inference(cnf,[status(esa)],[m__1522_02]) ).
thf(mConsDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
= W0 ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mConsDiff]) ).
thf(zip_derived_cl311,plain,
( ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
= xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl37]) ).
thf(m__1522,axiom,
aSet0 @ xS ).
thf(zip_derived_cl70,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__1522]) ).
thf(zip_derived_cl322,plain,
( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx )
= xS ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl70]) ).
thf(mCardCons,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( ~ ( aElementOf0 @ W1 @ W0 )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ X1 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mCardCons]) ).
thf(zip_derived_cl524,plain,
( ~ ( aElement0 @ xx )
| ( ( sbrdtbr0 @ xS )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) ) )
| ( aElementOf0 @ xx @ ( sdtmndt0 @ xS @ xx ) )
| ~ ( isFinite0 @ ( sdtmndt0 @ xS @ xx ) )
| ~ ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl69]) ).
thf(zip_derived_cl71_001,plain,
aElementOf0 @ xx @ xS,
inference(cnf,[status(esa)],[m__1522_02]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl83,plain,
( ( aElement0 @ xx )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl2]) ).
thf(zip_derived_cl70_002,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__1522]) ).
thf(zip_derived_cl84,plain,
aElement0 @ xx,
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl70]) ).
thf(m__,conjecture,
( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ xS )
& ( W0 != xx ) ) ) )
=> ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) )
= ( sbrdtbr0 @ xS ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ xS )
& ( W0 != xx ) ) ) )
=> ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) )
= ( sbrdtbr0 @ xS ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl77,plain,
! [X1: $i] :
( ( X1 != xx )
| ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ xS @ xx ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88,plain,
~ ( aElementOf0 @ xx @ ( sdtmndt0 @ xS @ xx ) ),
inference(eq_res,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl73,plain,
aSet0 @ ( sdtmndt0 @ xS @ xx ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl525,plain,
( ( ( sbrdtbr0 @ xS )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) ) )
| ~ ( isFinite0 @ ( sdtmndt0 @ xS @ xx ) ) ),
inference(demod,[status(thm)],[zip_derived_cl524,zip_derived_cl84,zip_derived_cl88,zip_derived_cl73]) ).
thf(zip_derived_cl78,plain,
( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xS @ xx ) ) )
!= ( sbrdtbr0 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl526,plain,
~ ( isFinite0 @ ( sdtmndt0 @ xS @ xx ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl525,zip_derived_cl78]) ).
thf(zip_derived_cl527,plain,
( ~ ( aElement0 @ xx )
| ~ ( isFinite0 @ xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl526]) ).
thf(zip_derived_cl84_003,plain,
aElement0 @ xx,
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl70]) ).
thf(zip_derived_cl72,plain,
isFinite0 @ xS,
inference(cnf,[status(esa)],[m__1522_02]) ).
thf(zip_derived_cl70_004,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__1522]) ).
thf(zip_derived_cl528,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl84,zip_derived_cl72,zip_derived_cl70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM538+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxPv2235gj true
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Fri Aug 25 14:54:55 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.17/0.36 % Running portfolio for 300 s
% 0.17/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.66/0.89 % Solved by fo/fo13.sh.
% 1.66/0.89 % done 140 iterations in 0.101s
% 1.66/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.66/0.89 % SZS output start Refutation
% See solution above
% 1.66/0.89
% 1.66/0.89
% 1.66/0.89 % Terminating...
% 2.37/0.98 % Runner terminated.
% 2.37/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------