TSTP Solution File: NUM525+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM525+1 : 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.8oEk0yMNz3 true
% Computer : n029.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 12:42:06 EDT 2023
% Result : Theorem 2.84s 1.00s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 26 unt; 9 typ; 0 def)
% Number of atoms : 110 ( 50 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 336 ( 51 ~; 44 |; 12 &; 224 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xq_type,type,
xq: $i ).
thf(xm_type,type,
xm: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__3059,axiom,
( xq
= ( sdtsldt0 @ xn @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xq
= ( sdtsldt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__3059]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl860,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(m__3046,axiom,
( ( doDivides0 @ xp @ xn )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) ) ).
thf(zip_derived_cl80,plain,
doDivides0 @ xp @ xn,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl864,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl74,zip_derived_cl76,zip_derived_cl80]) ).
thf(zip_derived_cl71,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl865,plain,
! [X0: $i] :
( ( X0 != xq )
| ( xn
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl864,zip_derived_cl71]) ).
thf(zip_derived_cl900,plain,
( xn
= ( sdtasdt0 @ xp @ xq ) ),
inference(eq_res,[status(thm)],[zip_derived_cl865]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl905,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl900,zip_derived_cl11]) ).
thf(zip_derived_cl82_001,plain,
( xq
= ( sdtsldt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__3059]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl694,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xq )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
thf(zip_derived_cl74_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl80_004,plain,
doDivides0 @ xp @ xn,
inference(cnf,[status(esa)],[m__3046]) ).
thf(zip_derived_cl696,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xq )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl694,zip_derived_cl74,zip_derived_cl76,zip_derived_cl80]) ).
thf(zip_derived_cl71_005,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl697,plain,
! [X0: $i] :
( ( X0 != xq )
| ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl696,zip_derived_cl71]) ).
thf(zip_derived_cl741,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl697]) ).
thf(zip_derived_cl74_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl923,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl905,zip_derived_cl741,zip_derived_cl74]) ).
thf(zip_derived_cl1387,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ X0 @ xq ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl923]) ).
thf(zip_derived_cl741_007,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl697]) ).
thf(zip_derived_cl1391,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ X0 @ xq ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1387,zip_derived_cl741]) ).
thf(zip_derived_cl1392,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ X0 @ xq ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1391]) ).
thf(zip_derived_cl923_008,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtasdt0 @ xn @ X0 )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl905,zip_derived_cl741,zip_derived_cl74]) ).
thf(m__,conjecture,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl83,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__3014,axiom,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ) ).
thf(zip_derived_cl78,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(zip_derived_cl84,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xp @ ( sdtasdt0 @ xq @ xq ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl78]) ).
thf(zip_derived_cl1386,plain,
( ~ ( aNaturalNumber0 @ xq )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xq ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl923,zip_derived_cl84]) ).
thf(zip_derived_cl741_009,plain,
aNaturalNumber0 @ xq,
inference(eq_res,[status(thm)],[zip_derived_cl697]) ).
thf(zip_derived_cl1425,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xp @ ( sdtasdt0 @ xn @ xq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1386,zip_derived_cl741]) ).
thf(zip_derived_cl2188,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1392,zip_derived_cl1425]) ).
thf(zip_derived_cl76_010,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl2232,plain,
( ( sdtasdt0 @ xn @ xn )
!= ( sdtasdt0 @ xn @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl2188,zip_derived_cl76]) ).
thf(zip_derived_cl2233,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM525+1 : 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.8oEk0yMNz3 true
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 16:37:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.59 % Total configuration time : 435
% 0.23/0.59 % Estimated wc time : 1092
% 0.23/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.84/1.00 % Solved by fo/fo13.sh.
% 2.84/1.00 % done 260 iterations in 0.256s
% 2.84/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.84/1.00 % SZS output start Refutation
% See solution above
% 2.84/1.00
% 2.84/1.00
% 2.84/1.01 % Terminating...
% 3.69/1.14 % Runner terminated.
% 3.69/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------