%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM457+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LfAQx7PKJF true
% Computer : n019.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 Oct 2 04:47:02 PM UTC 2025
% Result : Theorem 0.59s 0.83s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 32 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 106 ( 21 ~; 23 |; 3 &; 52 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xn_type,type,
xn: $i ).
thf(xm_type,type,
xm: $i ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
=> ( ( xm = sz00 )
| ( xn = sz00 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ xm @ xn )
= sz00 )
=> ( ( xm = sz00 )
| ( xn = sz00 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl26,plain,
( ( sdtasdt0 @ xm @ xn )
= sz00 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl301,plain,
! [X0: $i] :
( ( sz00
!= ( sdtasdt0 @ X0 @ xn ) )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( xm = X0 )
| ( xn = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl20]) ).
thf(m__624,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm ) ) ).
thf(zip_derived_cl24,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__624]) ).
thf(zip_derived_cl25,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__624]) ).
thf(zip_derived_cl322,plain,
! [X0: $i] :
( ( sz00
!= ( sdtasdt0 @ X0 @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xm = X0 )
| ( xn = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl24,zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
xn != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl323,plain,
! [X0: $i] :
( ( sz00
!= ( sdtasdt0 @ X0 @ xn ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xm = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl322,zip_derived_cl28]) ).
thf(zip_derived_cl339,plain,
( ( sz00 != sz00 )
| ~ ( aNaturalNumber0 @ xn )
| ( xm = sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl323]) ).
thf(zip_derived_cl24_001,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__624]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl346,plain,
( ( sz00 != sz00 )
| ( xm = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl24,zip_derived_cl1]) ).
thf(zip_derived_cl347,plain,
xm = sz00,
inference(simplify,[status(thm)],[zip_derived_cl346]) ).
thf(zip_derived_cl27,plain,
xm != sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl347,zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM457+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LfAQx7PKJF true
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:18:53 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.57/0.69 % Total configuration time : 435
% 0.57/0.69 % Estimated wc time : 1092
% 0.57/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.83 % Solved by fo/fo3_bce.sh.
% 0.59/0.83 % BCE start: 29
% 0.59/0.83 % BCE eliminated: 0
% 0.59/0.83 % PE start: 29
% 0.59/0.83 logic: eq
% 0.59/0.83 % PE eliminated: 0
% 0.59/0.83 % done 30 iterations in 0.025s
% 0.59/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.83 % SZS output start Refutation
% See solution above
% 0.59/0.84
% 0.59/0.84
% 0.59/0.84 % Terminating...
% 0.60/0.90 % Runner terminated.
% 0.60/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------