TSTP Solution File: RNG123+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG123+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.mkLnKwD2t9 true
% Computer : n010.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 14:07:04 EDT 2023
% Result : Theorem 1.44s 0.88s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 45 ( 17 unt; 15 typ; 0 def)
% Number of atoms : 58 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 180 ( 18 ~; 16 |; 5 &; 134 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(xa_type,type,
xa: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(aIdeal0_type,type,
aIdeal0: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xr_type,type,
xr: $i ).
thf(xu_type,type,
xu: $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(xI_type,type,
xI: $i ).
thf(m__2699,axiom,
aElementOf0 @ xb @ xI ).
thf(zip_derived_cl121,plain,
aElementOf0 @ xb @ xI,
inference(cnf,[status(esa)],[m__2699]) ).
thf(m__2718,axiom,
( xr
= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) ).
thf(zip_derived_cl122,plain,
( xr
= ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
inference(cnf,[status(esa)],[m__2718]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl1145,plain,
( ~ ( aElement0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) )
| ~ ( aElement0 @ xb )
| ( xr
= ( sdtpldt0 @ xb @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl6]) ).
thf(m__2690,axiom,
aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI ).
thf(zip_derived_cl120,plain,
aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI,
inference(cnf,[status(esa)],[m__2690]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1112,plain,
( ( aElement0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) )
| ~ ( aSet0 @ xI ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl25]) ).
thf(m__2174,axiom,
( ( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ( aIdeal0 @ xI ) ) ).
thf(zip_derived_cl99,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(mDefIdeal,axiom,
! [W0: $i] :
( ( aIdeal0 @ W0 )
<=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
& ! [W2: $i] :
( ( aElement0 @ W2 )
=> ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ~ ( aIdeal0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl775,plain,
aSet0 @ xI,
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl47]) ).
thf(zip_derived_cl1117,plain,
aElement0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ),
inference(demod,[status(thm)],[zip_derived_cl1112,zip_derived_cl775]) ).
thf(m__2091,axiom,
( ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl94,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__2091]) ).
thf(zip_derived_cl1153,plain,
( xr
= ( sdtpldt0 @ xb @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1145,zip_derived_cl1117,zip_derived_cl94]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElementOf0 @ ( sdtpldt0 @ X0 @ X2 ) @ X1 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aIdeal0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl1299,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ xb @ X0 )
| ( aElementOf0 @ xr @ X0 )
| ~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ X0 )
| ~ ( aIdeal0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1153,zip_derived_cl49]) ).
thf(zip_derived_cl1322,plain,
( ( aElementOf0 @ xr @ xI )
| ~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI )
| ~ ( aIdeal0 @ xI ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1299]) ).
thf(m__,conjecture,
aElementOf0 @ xr @ xI ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xr @ xI ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl123,plain,
~ ( aElementOf0 @ xr @ xI ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_001,plain,
aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI,
inference(cnf,[status(esa)],[m__2690]) ).
thf(zip_derived_cl99_002,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl1323,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1322,zip_derived_cl123,zip_derived_cl120,zip_derived_cl99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG123+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mkLnKwD2t9 true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 02:07:49 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.44/0.88 % Solved by fo/fo6_bce.sh.
% 1.44/0.88 % BCE start: 124
% 1.44/0.88 % BCE eliminated: 1
% 1.44/0.88 % PE start: 123
% 1.44/0.88 logic: eq
% 1.44/0.88 % PE eliminated: 7
% 1.44/0.88 % done 136 iterations in 0.111s
% 1.44/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.44/0.88 % SZS output start Refutation
% See solution above
% 1.44/0.88
% 1.44/0.88
% 1.44/0.88 % Terminating...
% 1.45/0.95 % Runner terminated.
% 1.45/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------