TSTP Solution File: NUM423+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM423+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.oFzEU4qJFk true
% Computer : n025.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 12:41:20 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 14 unt; 9 typ; 0 def)
% Number of atoms : 108 ( 31 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 314 ( 62 ~; 50 |; 11 &; 183 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 31 !; 1 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(xa_type,type,
xa: $i ).
thf(mMulZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulZero]) ).
thf(mAddNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(mIntPlus,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(mDivisor,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ! [W1: $i] :
( ( aDivisorOf0 @ W1 @ W0 )
<=> ( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ? [W2: $i] :
( ( ( sdtasdt0 @ W1 @ W2 )
= W0 )
& ( aInteger0 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= X1 )
| ~ ( aInteger0 @ X2 )
| ( aDivisorOf0 @ X0 @ X1 )
| ~ ( aInteger0 @ X1 ) ),
inference(cnf,[status(esa)],[mDivisor]) ).
thf(mEquMod,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
<=> ( aDivisorOf0 @ W2 @ ( sdtpldt0 @ W0 @ ( smndt0 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( X2 = sz00 )
| ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 )
| ~ ( aDivisorOf0 @ X2 @ ( sdtpldt0 @ X1 @ ( smndt0 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[mEquMod]) ).
thf(m__,conjecture,
sdteqdtlpzmzozddtrp0 @ xa @ xa @ xq ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0 @ xa @ xa @ xq ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl33,plain,
~ ( sdteqdtlpzmzozddtrp0 @ xa @ xa @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl175,plain,
( ~ ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ( xq = sz00 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xa ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl179,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ( xq = sz00 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xq )
| ( xq = sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl175]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ xq )
| ( xq = sz00 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl179]) ).
thf(m__671,axiom,
( ( xq != sz00 )
& ( aInteger0 @ xq )
& ( aInteger0 @ xa ) ) ).
thf(zip_derived_cl32,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__671]) ).
thf(zip_derived_cl31,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__671]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ( xq = sz00 )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl30,plain,
xq != sz00,
inference(cnf,[status(esa)],[m__671]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl187,zip_derived_cl30]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xa ) )
| ~ ( aInteger0 @ xa )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl188]) ).
thf(zip_derived_cl32_001,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__671]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( smndt0 @ xa ) )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl32]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xa )
| ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl190]) ).
thf(zip_derived_cl32_002,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__671]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xa ) ) )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl32]) ).
thf(zip_derived_cl276,plain,
! [X0: $i] :
( ~ ( aInteger0 @ xa )
| ( ( sdtasdt0 @ xq @ X0 )
!= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl195]) ).
thf(zip_derived_cl32_003,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__671]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ X0 )
!= sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl32]) ).
thf(zip_derived_cl285,plain,
( ~ ( aInteger0 @ xq )
| ( sz00 != sz00 )
| ~ ( aInteger0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl284]) ).
thf(zip_derived_cl31_004,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__671]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl287,plain,
sz00 != sz00,
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl31,zip_derived_cl1]) ).
thf(zip_derived_cl288,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oFzEU4qJFk true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 09:17:07 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.34 % Running portfolio for 300 s
% 0.20/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % Solved by fo/fo6_bce.sh.
% 0.21/0.75 % BCE start: 34
% 0.21/0.75 % BCE eliminated: 1
% 0.21/0.75 % PE start: 33
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 4
% 0.21/0.75 % done 27 iterations in 0.043s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% See solution above
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.47/0.83 % Runner terminated.
% 1.60/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------