TSTP Solution File: RNG120+4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG120+4 : 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.pbHhI0sL41 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 14:07:03 EDT 2023
% Result : Theorem 35.95s 5.77s
% Output : Refutation 35.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 56 ( 14 unt; 19 typ; 0 def)
% Number of atoms : 116 ( 15 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 364 ( 41 ~; 33 |; 30 &; 244 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 31 !; 12 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(xq_type,type,
xq: $i ).
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(xI_type,type,
xI: $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(aIdeal0_type,type,
aIdeal0: $i > $o ).
thf(xu_type,type,
xu: $i ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(xr_type,type,
xr: $i ).
thf(mSortsU,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( aElement0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aElement0 @ ( smndt0 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mSortsU]) ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
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_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElementOf0 @ ( sdtasdt0 @ X2 @ X0 ) @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aIdeal0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(m__,conjecture,
( ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI )
| ? [W0: $i,W1: $i] :
( ( ( sdtpldt0 @ W0 @ W1 )
= ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI )
| ? [W0: $i,W1: $i] :
( ( ( sdtpldt0 @ W0 @ W1 )
= ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl185,plain,
~ ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mMulMnOne,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
= ( smndt0 @ W0 ) )
& ( ( smndt0 @ W0 )
= ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ X0 )
= ( smndt0 @ X0 ) )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulMnOne]) ).
thf(zip_derived_cl48_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElementOf0 @ ( sdtasdt0 @ X2 @ X0 ) @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aIdeal0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl2106,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ ( smndt0 @ X0 ) @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aIdeal0 @ X1 )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) )
| ~ ( aElementOf0 @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl48]) ).
thf(zip_derived_cl45342,plain,
( ~ ( aElementOf0 @ ( sdtasdt0 @ xq @ xu ) @ xI )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) )
| ~ ( aIdeal0 @ xI )
| ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl2106]) ).
thf(m__2174,axiom,
( ( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xI )
<=> ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xb ) )
<=> ? [W1: $i] :
( ( ( sdtasdt0 @ xb @ W1 )
= W0 )
& ( aElement0 @ W1 ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
<=> ? [W1: $i] :
( ( ( sdtasdt0 @ xa @ W1 )
= W0 )
& ( aElement0 @ W1 ) ) )
& ( aIdeal0 @ xI )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xI )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xI )
=> ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
& ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
& ( aSet0 @ xI ) ) ).
thf(zip_derived_cl122,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl45371,plain,
( ~ ( aElementOf0 @ ( sdtasdt0 @ xq @ xu ) @ xI )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) )
| ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45342,zip_derived_cl122]) ).
thf(zip_derived_cl46157,plain,
( ~ ( aIdeal0 @ xI )
| ~ ( aElement0 @ xq )
| ~ ( aElementOf0 @ xu @ xI )
| ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl45371]) ).
thf(zip_derived_cl122_002,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(m__2666,axiom,
( ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
| ( xr = sz00 ) )
& ( xb
= ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) )
& ( aElement0 @ xr )
& ( aElement0 @ xq ) ) ).
thf(zip_derived_cl182,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(m__2273,axiom,
( ! [W0: $i] :
( ( ( ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
| ( aElementOf0 @ W0 @ xI ) )
& ( W0 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
& ( xu != sz00 )
& ( aElementOf0 @ xu @ xI )
& ? [W0: $i,W1: $i] :
( ( ( sdtpldt0 @ W0 @ W1 )
= xu )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).
thf(zip_derived_cl160,plain,
aElementOf0 @ xu @ xI,
inference(cnf,[status(esa)],[m__2273]) ).
thf(zip_derived_cl46161,plain,
( ~ ( aElement0 @ ( sdtasdt0 @ xq @ xu ) )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46157,zip_derived_cl122,zip_derived_cl182,zip_derived_cl160]) ).
thf(zip_derived_cl46168,plain,
( ~ ( aElement0 @ xu )
| ~ ( aElement0 @ xq )
| ~ ( aElement0 @ ( smndt0 @ sz10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl46161]) ).
thf(zip_derived_cl160_003,plain,
aElementOf0 @ xu @ xI,
inference(cnf,[status(esa)],[m__2273]) ).
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_cl1127,plain,
( ~ ( aSet0 @ xI )
| ( aElement0 @ xu ) ),
inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl25]) ).
thf(zip_derived_cl119,plain,
aSet0 @ xI,
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl1136,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl1127,zip_derived_cl119]) ).
thf(zip_derived_cl182_004,plain,
aElement0 @ xq,
inference(cnf,[status(esa)],[m__2666]) ).
thf(zip_derived_cl46171,plain,
~ ( aElement0 @ ( smndt0 @ sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl46168,zip_derived_cl1136,zip_derived_cl182]) ).
thf(zip_derived_cl46176,plain,
~ ( aElement0 @ sz10 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl46171]) ).
thf(mSortsC_01,axiom,
aElement0 @ sz10 ).
thf(zip_derived_cl2,plain,
aElement0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl46177,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl46176,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG120+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pbHhI0sL41 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 02:27:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 35.95/5.77 % Solved by fo/fo3_bce.sh.
% 35.95/5.77 % BCE start: 186
% 35.95/5.77 % BCE eliminated: 1
% 35.95/5.77 % PE start: 185
% 35.95/5.77 logic: eq
% 35.95/5.77 % PE eliminated: -11
% 35.95/5.77 % done 4544 iterations in 5.029s
% 35.95/5.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.95/5.77 % SZS output start Refutation
% See solution above
% 35.95/5.77
% 35.95/5.77
% 35.95/5.77 % Terminating...
% 36.40/5.86 % Runner terminated.
% 36.40/5.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------