TSTP Solution File: NUM555+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jnf4FzdA5e true
% Computer : n017.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 12:42:20 EDT 2023
% Result : Theorem 0.51s 0.77s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 31 ( 10 unt; 12 typ; 0 def)
% Number of atoms : 47 ( 7 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 15 ~; 10 |; 11 &; 83 @)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xy_type,type,
xy: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xx_type,type,
xx: $i ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__2323,axiom,
~ ( aElementOf0 @ xx @ xQ ) ).
thf(zip_derived_cl21,plain,
~ ( aElementOf0 @ xx @ xQ ),
inference(cnf,[status(esa)],[m__2323]) ).
thf(m__,conjecture,
~ ( aElementOf0 @ xx @ ( sdtmndt0 @ xQ @ xy ) ) ).
thf(zf_stmt_0,negated_conjecture,
aElementOf0 @ xx @ ( sdtmndt0 @ xQ @ xy ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl23,plain,
aElementOf0 @ xx @ ( sdtmndt0 @ xQ @ xy ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mDefDiff,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W1 )
& ( aSet0 @ W0 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( W3 != W1 )
& ( aElementOf0 @ W3 @ W0 )
& ( aElement0 @ W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_0 @ W3 @ W1 @ W0 )
<=> ( ( aElement0 @ W3 )
& ( aElementOf0 @ W3 @ W0 )
& ( W3 != W1 ) ) ) ).
thf(zf_stmt_3,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElement0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( zip_tseitin_0 @ X2 @ X1 @ X0 )
| ( X3
!= ( sdtmndt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( ( sdtmndt0 @ xQ @ xy )
!= ( sdtmndt0 @ X1 @ X0 ) )
| ( zip_tseitin_0 @ xx @ X0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl5]) ).
thf(zip_derived_cl47,plain,
( ~ ( aSet0 @ xQ )
| ~ ( aElement0 @ xy )
| ( zip_tseitin_0 @ xx @ xy @ xQ ) ),
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(m__2291,axiom,
( ( ( sbrdtbr0 @ xQ )
= xk )
& ( isFinite0 @ xQ )
& ( aSet0 @ xQ ) ) ).
thf(zip_derived_cl18,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__2291]) ).
thf(m__2304,axiom,
( ( aElementOf0 @ xy @ xQ )
& ( aElement0 @ xy ) ) ).
thf(zip_derived_cl20,plain,
aElement0 @ xy,
inference(cnf,[status(esa)],[m__2304]) ).
thf(zip_derived_cl48,plain,
zip_tseitin_0 @ xx @ xy @ xQ,
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl18,zip_derived_cl20]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl53,plain,
aElementOf0 @ xx @ xQ,
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl1]) ).
thf(zip_derived_cl60,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jnf4FzdA5e true
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 10:30:25 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.49/0.62 % Total configuration time : 435
% 0.49/0.62 % Estimated wc time : 1092
% 0.49/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.77 % Solved by fo/fo4.sh.
% 0.51/0.77 % done 34 iterations in 0.027s
% 0.51/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.77 % SZS output start Refutation
% See solution above
% 0.51/0.77
% 0.51/0.77
% 0.51/0.77 % Terminating...
% 0.55/0.84 % Runner terminated.
% 0.55/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------